%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP020^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:07:54 AM UTC 2026
% Result : Theorem 3.71s 0.96s
% Output : Refutation 3.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP020^1 : TPTP v9.3.1. Bugfixed v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n003.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 19:35:14 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.41 % (2958149)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.58/0.41 % (2958176)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3386227036:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.58/0.41 % (2958178)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.58/0.41 % (2958178)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.58/0.41 % (2958173)lrs+10_16_si=on:nwc=1.5:random_seed=727313871:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.58/0.41 % (2958172)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1143846507:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.58/0.41 % (2958174)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2503632043:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.58/0.41 % (2958177)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3947957755:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.58/0.41 % (2958176)Instruction limit reached!
% 0.58/0.41 % (2958176)------------------------------
% 0.58/0.41 % (2958176)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41 % (2958175)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3077139940:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.58/0.41 % (2958176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41 % (2958176)CaDiCaL version: 2.1.3
% 0.58/0.41 % (2958176)Termination reason: Instruction limit
% 0.58/0.41 % (2958176)Termination phase: Property scanning
% 0.58/0.41 % (2958176)Time elapsed: 0.007 s
% 0.58/0.41 % (2958176)Peak memory usage: 10 MB
% 0.58/0.41 % (2958176)Instructions burned: 27 (million)
% 0.58/0.41 % (2958178)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=2368045276:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.58/0.41 % (2958174)Instruction limit reached!
% 0.58/0.41 % (2958174)------------------------------
% 0.58/0.41 % (2958174)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41 % (2958174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41 % (2958174)CaDiCaL version: 2.1.3
% 0.58/0.41 % (2958174)Termination reason: Instruction limit
% 0.58/0.41 % (2958174)Termination phase: shuffling
% 0.58/0.41 % (2958174)Time elapsed: 0.002 s
% 0.58/0.41 % (2958174)Peak memory usage: 10 MB
% 0.58/0.41 % (2958174)Instructions burned: 4 (million)
% 0.58/0.41 % (2958173)Instruction limit reached!
% 0.58/0.41 % (2958173)------------------------------
% 0.58/0.41 % (2958173)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41 % (2958173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41 % (2958173)CaDiCaL version: 2.1.3
% 0.58/0.41 % (2958173)Termination reason: Instruction limit
% 0.58/0.41 % (2958173)Termination phase: Preprocessing 3
% 0.58/0.41 % (2958173)Time elapsed: 0.010 s
% 0.58/0.41 % (2958173)Peak memory usage: 10 MB
% 0.58/0.41 % (2958173)Instructions burned: 20 (million)
% 0.58/0.41 % (2958194)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=244600250:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.41 % (2958194)Instruction limit reached!
% 0.58/0.41 % (2958194)------------------------------
% 0.58/0.41 % (2958194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.41 % (2958194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.41 % (2958194)CaDiCaL version: 2.1.3
% 0.58/0.41 % (2958194)Termination reason: Instruction limit
% 0.58/0.41 % (2958194)Termination phase: Property scanning
% 0.58/0.41 % (2958194)Time elapsed: 0.002 s
% 0.58/0.41 % (2958194)Peak memory usage: 10 MB
% 0.58/0.41 % (2958194)Instructions burned: 9 (million)
% 0.58/0.41 % (2958197)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1886833674:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.58/0.44 % (2958197)Instruction limit reached!
% 0.58/0.44 % (2958197)------------------------------
% 0.58/0.44 % (2958197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (2958197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (2958197)CaDiCaL version: 2.1.3
% 0.58/0.44 % (2958197)Termination reason: Instruction limit
% 0.58/0.44 % (2958197)Termination phase: Property scanning
% 0.58/0.44 % (2958197)Time elapsed: 0.003 s
% 0.58/0.44 % (2958197)Peak memory usage: 10 MB
% 0.58/0.44 % (2958197)Instructions burned: 7 (million)
% 0.58/0.44 % (2958205)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1334949038:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.58/0.44 % (2958201)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.44 % (2958205)Instruction limit reached!
% 0.58/0.44 % (2958205)------------------------------
% 0.58/0.44 % (2958205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (2958205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (2958205)CaDiCaL version: 2.1.3
% 0.58/0.44 % (2958205)Termination reason: Instruction limit
% 0.58/0.44 % (2958205)Termination phase: SInE selection
% 0.58/0.44 % (2958205)Time elapsed: 0.003 s
% 0.58/0.44 % (2958205)Peak memory usage: 10 MB
% 0.58/0.44 % (2958205)Instructions burned: 16 (million)
% 0.58/0.44 % (2958177)Instruction limit reached!
% 0.58/0.44 % (2958177)------------------------------
% 0.58/0.44 % (2958177)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (2958177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (2958177)CaDiCaL version: 2.1.3
% 0.58/0.44 % (2958177)Termination reason: Instruction limit
% 0.58/0.44 % (2958177)Termination phase: Saturation
% 0.58/0.44 % (2958177)Time elapsed: 0.033 s
% 0.58/0.44 % (2958177)Peak memory usage: 12 MB
% 0.58/0.44 % (2958177)Instructions burned: 75 (million)
% 0.58/0.44 % (2958201)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1990028372:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.58/0.44 % (2958201)Instruction limit reached!
% 0.58/0.44 % (2958201)------------------------------
% 0.58/0.44 % (2958201)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (2958201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (2958201)CaDiCaL version: 2.1.3
% 0.58/0.44 % (2958201)Termination reason: Instruction limit
% 0.58/0.44 % (2958201)Termination phase: shuffling
% 0.58/0.44 % (2958201)Time elapsed: 0.004 s
% 0.58/0.44 % (2958201)Peak memory usage: 10 MB
% 0.58/0.44 % (2958201)Instructions burned: 7 (million)
% 0.58/0.44 % (2958209)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.58/0.44 % (2958209)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.44 % (2958172)Instruction limit reached!
% 0.58/0.44 % (2958172)------------------------------
% 0.58/0.44 % (2958172)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.44 % (2958172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.44 % (2958172)CaDiCaL version: 2.1.3
% 0.58/0.44 % (2958172)Termination reason: Instruction limit
% 0.58/0.44 % (2958172)Termination phase: Saturation
% 0.58/0.44 % (2958172)Time elapsed: 0.042 s
% 0.58/0.44 % (2958172)Peak memory usage: 13 MB
% 0.58/0.44 % (2958172)Instructions burned: 87 (million)
% 0.58/0.44 % (2958213)lrs+1002_64_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:sp=occurrence:lma=off:plsqr=32,1:uwa=interpreted_only:random_seed=1160174649:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.58/0.44 % (2958209)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=824748867:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.58/0.44 % (2958217)lrs+10_1_si=on:cs=on:random_seed=4145131162:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.58/0.44 % (2958218)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.28/0.47 % (2958217)Instruction limit reached!
% 1.28/0.47 % (2958217)------------------------------
% 1.28/0.47 % (2958217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.47 % (2958217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.47 % (2958217)CaDiCaL version: 2.1.3
% 1.28/0.47 % (2958217)Termination reason: Instruction limit
% 1.28/0.47 % (2958217)Termination phase: Property scanning
% 1.28/0.47 % (2958217)Time elapsed: 0.004 s
% 1.28/0.47 % (2958217)Peak memory usage: 10 MB
% 1.28/0.47 % (2958217)Instructions burned: 8 (million)
% 1.28/0.47 % (2958218)ott+1002_20_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:plsqr=1,32:bce=on:uwa=interpreted_only:foolp=on:random_seed=678621301:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.28/0.47 % (2958209)Instruction limit reached!
% 1.28/0.47 % (2958209)------------------------------
% 1.28/0.47 % (2958209)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.47 % (2958209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.47 % (2958209)CaDiCaL version: 2.1.3
% 1.28/0.47 % (2958209)Termination reason: Instruction limit
% 1.28/0.47 % (2958209)Termination phase: Property scanning
% 1.28/0.47 % (2958209)Time elapsed: 0.012 s
% 1.28/0.47 % (2958209)Peak memory usage: 10 MB
% 1.28/0.47 % (2958209)Instructions burned: 30 (million)
% 1.28/0.47 % (2958218)Instruction limit reached!
% 1.28/0.47 % (2958218)------------------------------
% 1.28/0.47 % (2958218)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.47 % (2958218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.47 % (2958218)CaDiCaL version: 2.1.3
% 1.28/0.47 % (2958218)Termination reason: Instruction limit
% 1.28/0.47 % (2958218)Termination phase: shuffling
% 1.28/0.47 % (2958218)Time elapsed: 0.002 s
% 1.28/0.47 % (2958218)Peak memory usage: 10 MB
% 1.28/0.47 % (2958218)Instructions burned: 4 (million)
% 1.28/0.47 % (2958223)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2601177862:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.28/0.47 % (2958213)Instruction limit reached!
% 1.28/0.47 % (2958213)------------------------------
% 1.28/0.47 % (2958213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.47 % (2958213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.47 % (2958213)CaDiCaL version: 2.1.3
% 1.28/0.47 % (2958213)Termination reason: Instruction limit
% 1.28/0.47 % (2958213)Termination phase: Saturation
% 1.28/0.47 % (2958213)Time elapsed: 0.021 s
% 1.28/0.47 % (2958213)Peak memory usage: 13 MB
% 1.28/0.47 % (2958213)Instructions burned: 88 (million)
% 1.28/0.47 % (2958240)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1978120202:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.28/0.47 % (2958233)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=460694927:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.28/0.47 % (2958235)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3179789267:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.28/0.47 % (2958223)Instruction limit reached!
% 1.28/0.47 % (2958223)------------------------------
% 1.28/0.47 % (2958223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.47 % (2958223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.47 % (2958223)CaDiCaL version: 2.1.3
% 1.28/0.47 % (2958223)Termination reason: Instruction limit
% 1.28/0.47 % (2958223)Termination phase: Saturation
% 1.28/0.47 % (2958223)Time elapsed: 0.017 s
% 1.28/0.47 % (2958223)Peak memory usage: 12 MB
% 1.28/0.47 % (2958223)Instructions burned: 38 (million)
% 1.28/0.47 % (2958236)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2872810762:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.28/0.47 % (2958178)Instruction limit reached!
% 1.28/0.47 % (2958178)------------------------------
% 1.28/0.47 % (2958178)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.47 % (2958178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (2958178)CaDiCaL version: 2.1.3
% 1.28/0.50 % (2958178)Termination reason: Instruction limit
% 1.28/0.50 % (2958178)Termination phase: Saturation
% 1.28/0.50 % (2958178)Time elapsed: 0.080 s
% 1.28/0.50 % (2958178)Peak memory usage: 13 MB
% 1.28/0.50 % (2958178)Instructions burned: 158 (million)
% 1.28/0.50 % (2958236)Instruction limit reached!
% 1.28/0.50 % (2958236)------------------------------
% 1.28/0.50 % (2958236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (2958236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (2958236)CaDiCaL version: 2.1.3
% 1.28/0.50 % (2958236)Termination reason: Instruction limit
% 1.28/0.50 % (2958236)Termination phase: Preprocessing 1
% 1.28/0.50 % (2958236)Time elapsed: 0.007 s
% 1.28/0.50 % (2958236)Peak memory usage: 10 MB
% 1.28/0.50 % (2958236)Instructions burned: 16 (million)
% 1.28/0.50 % (2958235)Instruction limit reached!
% 1.28/0.50 % (2958235)------------------------------
% 1.28/0.50 % (2958235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (2958235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (2958235)CaDiCaL version: 2.1.3
% 1.28/0.50 % (2958235)Termination reason: Instruction limit
% 1.28/0.50 % (2958235)Termination phase: Preprocessing 3
% 1.28/0.50 % (2958235)Time elapsed: 0.011 s
% 1.28/0.50 % (2958235)Peak memory usage: 10 MB
% 1.28/0.50 % (2958235)Instructions burned: 25 (million)
% 1.28/0.50 % (2958233)Refutation not found, incomplete strategy
% 1.28/0.50 % (2958233)------------------------------
% 1.28/0.50 % (2958233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (2958233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (2958233)CaDiCaL version: 2.1.3
% 1.28/0.50 % (2958233)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.50 % (2958233)Time elapsed: 0.018 s
% 1.28/0.50 % (2958233)Peak memory usage: 12 MB
% 1.28/0.50 % (2958233)Instructions burned: 39 (million)
% 1.28/0.50 % (2958233)------------------------------
% 1.28/0.50 % (2958233)------------------------------
% 1.28/0.50 % (2958251)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2707125106:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.28/0.50 % (2958253)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2422987153:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.28/0.50 % (2958253)Instruction limit reached!
% 1.28/0.50 % (2958253)------------------------------
% 1.28/0.50 % (2958253)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (2958253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (2958253)CaDiCaL version: 2.1.3
% 1.28/0.50 % (2958253)Termination reason: Instruction limit
% 1.28/0.50 % (2958253)Termination phase: shuffling
% 1.28/0.50 % (2958253)Time elapsed: 0.002 s
% 1.28/0.50 % (2958253)Peak memory usage: 10 MB
% 1.28/0.50 % (2958253)Instructions burned: 4 (million)
% 1.28/0.50 % (2958255)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1918927486:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.28/0.50 % (2958251)Instruction limit reached!
% 1.28/0.50 % (2958251)------------------------------
% 1.28/0.50 % (2958251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (2958251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.50 % (2958251)CaDiCaL version: 2.1.3
% 1.28/0.50 % (2958251)Termination reason: Instruction limit
% 1.28/0.50 % (2958251)Termination phase: Preprocessing 3
% 1.28/0.50 % (2958251)Time elapsed: 0.009 s
% 1.28/0.50 % (2958251)Peak memory usage: 10 MB
% 1.28/0.50 % (2958251)Instructions burned: 20 (million)
% 1.28/0.50 % (2958258)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3756975985:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.28/0.50 % (2958262)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=569440129:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.28/0.50 % (2958255)Instruction limit reached!
% 1.28/0.50 % (2958255)------------------------------
% 1.28/0.50 % (2958255)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.50 % (2958255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2958255)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2958255)Termination reason: Instruction limit
% 1.28/0.54 % (2958255)Termination phase: Property scanning
% 1.28/0.54 % (2958255)Time elapsed: 0.011 s
% 1.28/0.54 % (2958255)Peak memory usage: 10 MB
% 1.28/0.54 % (2958255)Instructions burned: 27 (million)
% 1.28/0.54 % (2958268)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 1.28/0.54 % (2958268)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.28/0.54 % (2958258)Instruction limit reached!
% 1.28/0.54 % (2958258)------------------------------
% 1.28/0.54 % (2958258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.54 % (2958258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2958258)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2958258)Termination reason: Instruction limit
% 1.28/0.54 % (2958258)Termination phase: Clausification
% 1.28/0.54 % (2958258)Time elapsed: 0.011 s
% 1.28/0.54 % (2958258)Peak memory usage: 10 MB
% 1.28/0.54 % (2958258)Instructions burned: 25 (million)
% 1.28/0.54 % (2958268)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=3640094272:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.28/0.54 % (2958272)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.28/0.54 % (2958272)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=1384583352:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.28/0.54 % (2958268)Instruction limit reached!
% 1.28/0.54 % (2958268)------------------------------
% 1.28/0.54 % (2958268)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.54 % (2958268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2958268)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2958268)Termination reason: Instruction limit
% 1.28/0.54 % (2958268)Termination phase: shuffling
% 1.28/0.54 % (2958268)Time elapsed: 0.006 s
% 1.28/0.54 % (2958268)Peak memory usage: 10 MB
% 1.28/0.54 % (2958268)Instructions burned: 15 (million)
% 1.28/0.54 % (2958272)Instruction limit reached!
% 1.28/0.54 % (2958272)------------------------------
% 1.28/0.54 % (2958272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.54 % (2958272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2958272)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2958272)Termination reason: Instruction limit
% 1.28/0.54 % (2958272)Termination phase: SInE selection
% 1.28/0.54 % (2958272)Time elapsed: 0.007 s
% 1.28/0.54 % (2958272)Peak memory usage: 10 MB
% 1.28/0.54 % (2958272)Instructions burned: 16 (million)
% 1.28/0.54 % (2958280)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3743196112:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.28/0.54 % (2958281)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2927590880:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.28/0.54 % (2958262)Instruction limit reached!
% 1.28/0.54 % (2958262)------------------------------
% 1.28/0.54 % (2958262)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.54 % (2958262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2958262)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2958262)Termination reason: Instruction limit
% 1.28/0.54 % (2958262)Termination phase: Saturation
% 1.28/0.54 % (2958262)Time elapsed: 0.025 s
% 1.28/0.54 % (2958262)Peak memory usage: 12 MB
% 1.28/0.54 % (2958262)Instructions burned: 60 (million)
% 1.28/0.54 % (2958281)Instruction limit reached!
% 1.28/0.54 % (2958281)------------------------------
% 1.28/0.54 % (2958281)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.28/0.54 % (2958281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.28/0.54 % (2958281)CaDiCaL version: 2.1.3
% 1.28/0.54 % (2958281)Termination reason: Instruction limit
% 2.00/0.62 % (2958281)Termination phase: shuffling
% 2.00/0.62 % (2958281)Time elapsed: 0.003 s
% 2.00/0.62 % (2958281)Peak memory usage: 10 MB
% 2.00/0.62 % (2958281)Instructions burned: 8 (million)
% 2.00/0.62 % (2958288)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=2880009380:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.00/0.62 % (2958280)Instruction limit reached!
% 2.00/0.62 % (2958280)------------------------------
% 2.00/0.62 % (2958280)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.62 % (2958280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.62 % (2958280)CaDiCaL version: 2.1.3
% 2.00/0.62 % (2958280)Termination reason: Instruction limit
% 2.00/0.62 % (2958280)Termination phase: Property scanning
% 2.00/0.62 % (2958280)Time elapsed: 0.013 s
% 2.00/0.62 % (2958280)Peak memory usage: 10 MB
% 2.00/0.62 % (2958280)Instructions burned: 32 (million)
% 2.00/0.62 % (2958291)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2527895516:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.00/0.62 % (2958288)Instruction limit reached!
% 2.00/0.62 % (2958288)------------------------------
% 2.00/0.62 % (2958288)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.62 % (2958288)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.62 % (2958288)CaDiCaL version: 2.1.3
% 2.00/0.62 % (2958288)Termination reason: Instruction limit
% 2.00/0.62 % (2958288)Termination phase: Property scanning
% 2.00/0.62 % (2958288)Time elapsed: 0.010 s
% 2.00/0.62 % (2958288)Peak memory usage: 10 MB
% 2.00/0.62 % (2958288)Instructions burned: 23 (million)
% 2.00/0.62 % (2958298)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3150500264:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.00/0.62 % (2958240)Instruction limit reached!
% 2.00/0.62 % (2958240)------------------------------
% 2.00/0.62 % (2958240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.62 % (2958240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.62 % (2958240)CaDiCaL version: 2.1.3
% 2.00/0.62 % (2958240)Termination reason: Instruction limit
% 2.00/0.62 % (2958240)Termination phase: Saturation
% 2.00/0.62 % (2958240)Time elapsed: 0.086 s
% 2.00/0.62 % (2958240)Peak memory usage: 14 MB
% 2.00/0.62 % (2958240)Instructions burned: 327 (million)
% 2.00/0.62 % (2958299)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2918102908:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.00/0.62 % (2958175)Refutation not found, incomplete strategy
% 2.00/0.62 % (2958175)------------------------------
% 2.00/0.62 % (2958175)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.62 % (2958175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.62 % (2958175)CaDiCaL version: 2.1.3
% 2.00/0.62 % (2958175)Termination reason: Refutation not found, incomplete strategy
% 2.00/0.62 % (2958175)Time elapsed: 0.163 s
% 2.00/0.62 % (2958175)Peak memory usage: 14 MB
% 2.00/0.62 % (2958175)Instructions burned: 332 (million)
% 2.00/0.62 % (2958291)Instruction limit reached!
% 2.00/0.62 % (2958291)------------------------------
% 2.00/0.62 % (2958291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.00/0.62 % (2958291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.00/0.62 % (2958291)CaDiCaL version: 2.1.3
% 2.00/0.62 % (2958291)Termination reason: Instruction limit
% 2.00/0.62 % (2958291)Termination phase: Naming
% 2.00/0.62 % (2958291)Time elapsed: 0.010 s
% 2.00/0.62 % (2958291)Peak memory usage: 10 MB
% 2.00/0.62 % (2958291)Instructions burned: 21 (million)
% 2.00/0.62 % (2958175)------------------------------
% 2.00/0.62 % (2958175)------------------------------
% 2.00/0.62 % (2958302)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=4212162862:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.00/0.62 % (2958310)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.00/0.62 % (2958310)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1204848973:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.00/0.62 % (2958310)Instruction limit reached!
% 2.37/0.66 % (2958310)------------------------------
% 2.37/0.66 % (2958310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.66 % (2958310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.66 % (2958310)CaDiCaL version: 2.1.3
% 2.37/0.66 % (2958310)Termination reason: Instruction limit
% 2.37/0.66 % (2958310)Termination phase: shuffling
% 2.37/0.66 % (2958310)Time elapsed: 0.002 s
% 2.37/0.66 % (2958310)Peak memory usage: 10 MB
% 2.37/0.66 % (2958310)Instructions burned: 8 (million)
% 2.37/0.66 % (2958309)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1111563055:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.37/0.66 % (2958321)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.37/0.66 % (2958313)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=422410106:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.37/0.66 % (2958315)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=2750540408:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.37/0.66 % (2958321)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2330620439:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.37/0.66 % (2958321)Instruction limit reached!
% 2.37/0.66 % (2958321)------------------------------
% 2.37/0.66 % (2958321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.66 % (2958321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.66 % (2958321)CaDiCaL version: 2.1.3
% 2.37/0.66 % (2958321)Termination reason: Instruction limit
% 2.37/0.66 % (2958321)Termination phase: shuffling
% 2.37/0.66 % (2958321)Time elapsed: 0.002 s
% 2.37/0.66 % (2958321)Peak memory usage: 10 MB
% 2.37/0.66 % (2958321)Instructions burned: 8 (million)
% 2.37/0.66 % (2958332)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1998412098:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.37/0.66 % (2958309)Instruction limit reached!
% 2.37/0.66 % (2958309)------------------------------
% 2.37/0.66 % (2958309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.66 % (2958309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.66 % (2958309)CaDiCaL version: 2.1.3
% 2.37/0.66 % (2958309)Termination reason: Instruction limit
% 2.37/0.66 % (2958309)Termination phase: Equality resolution with deletion
% 2.37/0.66 % (2958309)Time elapsed: 0.018 s
% 2.37/0.66 % (2958309)Peak memory usage: 11 MB
% 2.37/0.66 % (2958309)Instructions burned: 42 (million)
% 2.37/0.66 % (2958332)Instruction limit reached!
% 2.37/0.66 % (2958332)------------------------------
% 2.37/0.66 % (2958332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.66 % (2958332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.66 % (2958332)CaDiCaL version: 2.1.3
% 2.37/0.66 % (2958332)Termination reason: Instruction limit
% 2.37/0.66 % (2958332)Termination phase: Preprocessing 3
% 2.37/0.66 % (2958332)Time elapsed: 0.005 s
% 2.37/0.66 % (2958332)Peak memory usage: 10 MB
% 2.37/0.66 % (2958332)Instructions burned: 22 (million)
% 2.37/0.66 % (2958341)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=57946209:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.37/0.66 % (2958338)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4154965735:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.37/0.66 % (2958315)Refutation not found, incomplete strategy
% 2.37/0.66 % (2958315)------------------------------
% 2.37/0.66 % (2958315)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.66 % (2958315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.66 % (2958315)CaDiCaL version: 2.1.3
% 2.37/0.66 % (2958315)Termination reason: Refutation not found, incomplete strategy
% 2.37/0.66 % (2958315)Time elapsed: 0.034 s
% 2.37/0.66 % (2958315)Peak memory usage: 13 MB
% 2.59/0.72 % (2958315)Instructions burned: 74 (million)
% 2.59/0.72 % (2958315)------------------------------
% 2.59/0.72 % (2958315)------------------------------
% 2.59/0.72 % (2958338)Instruction limit reached!
% 2.59/0.72 % (2958338)------------------------------
% 2.59/0.72 % (2958338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.72 % (2958338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.72 % (2958338)CaDiCaL version: 2.1.3
% 2.59/0.72 % (2958338)Termination reason: Instruction limit
% 2.59/0.72 % (2958338)Termination phase: Property scanning
% 2.59/0.72 % (2958338)Time elapsed: 0.008 s
% 2.59/0.72 % (2958338)Peak memory usage: 10 MB
% 2.59/0.72 % (2958338)Instructions burned: 19 (million)
% 2.59/0.72 % (2958299)Instruction limit reached!
% 2.59/0.72 % (2958299)------------------------------
% 2.59/0.72 % (2958299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.72 % (2958299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.72 % (2958299)CaDiCaL version: 2.1.3
% 2.59/0.72 % (2958299)Termination reason: Instruction limit
% 2.59/0.72 % (2958299)Termination phase: Saturation
% 2.59/0.72 % (2958299)Time elapsed: 0.071 s
% 2.59/0.72 % (2958299)Peak memory usage: 13 MB
% 2.59/0.72 % (2958299)Instructions burned: 143 (million)
% 2.59/0.72 % (2958352)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=3139187680:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.59/0.72 % (2958355)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3636092756:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.59/0.72 % (2958359)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2595543793:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.59/0.72 % (2958355)Instruction limit reached!
% 2.59/0.72 % (2958355)------------------------------
% 2.59/0.72 % (2958355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.72 % (2958355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.72 % (2958355)CaDiCaL version: 2.1.3
% 2.59/0.72 % (2958355)Termination reason: Instruction limit
% 2.59/0.72 % (2958355)Termination phase: Preprocessing 3
% 2.59/0.72 % (2958355)Time elapsed: 0.019 s
% 2.59/0.72 % (2958355)Peak memory usage: 11 MB
% 2.59/0.72 % (2958355)Instructions burned: 45 (million)
% 2.59/0.72 % (2958302)Instruction limit reached!
% 2.59/0.72 % (2958302)------------------------------
% 2.59/0.72 % (2958302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.72 % (2958302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.72 % (2958302)CaDiCaL version: 2.1.3
% 2.59/0.72 % (2958302)Termination reason: Instruction limit
% 2.59/0.72 % (2958302)Termination phase: Saturation
% 2.59/0.72 % (2958302)Time elapsed: 0.098 s
% 2.59/0.72 % (2958302)Peak memory usage: 13 MB
% 2.59/0.72 % (2958302)Instructions burned: 193 (million)
% 2.59/0.72 % (2958313)Instruction limit reached!
% 2.59/0.72 % (2958313)------------------------------
% 2.59/0.72 % (2958313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.59/0.72 % (2958313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.59/0.72 % (2958313)CaDiCaL version: 2.1.3
% 2.59/0.72 % (2958313)Termination reason: Instruction limit
% 2.59/0.72 % (2958313)Termination phase: Saturation
% 2.59/0.72 % (2958313)Time elapsed: 0.095 s
% 2.59/0.72 % (2958313)Peak memory usage: 14 MB
% 2.59/0.72 % (2958313)Instructions burned: 181 (million)
% 2.59/0.72 % (2958380)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.59/0.72 % (2958378)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=914263796:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.59/0.72 % (2958380)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=930823108:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.59/0.72 % (2958359)Refutation not found, incomplete strategy
% 2.59/0.72 % (2958359)------------------------------
% 3.09/0.87 % (2958359)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.87 % (2958359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.87 % (2958359)CaDiCaL version: 2.1.3
% 3.09/0.87 % (2958359)Termination reason: Refutation not found, incomplete strategy
% 3.09/0.87 % (2958359)Time elapsed: 0.038 s
% 3.09/0.87 % (2958359)Peak memory usage: 13 MB
% 3.09/0.87 % (2958359)Instructions burned: 84 (million)
% 3.09/0.87 % (2958359)------------------------------
% 3.09/0.87 % (2958359)------------------------------
% 3.09/0.87 % (2958378)Instruction limit reached!
% 3.09/0.87 % (2958378)------------------------------
% 3.09/0.87 % (2958378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.87 % (2958378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.87 % (2958378)CaDiCaL version: 2.1.3
% 3.09/0.87 % (2958378)Termination reason: Instruction limit
% 3.09/0.87 % (2958378)Termination phase: Preprocessing 3
% 3.09/0.87 % (2958378)Time elapsed: 0.009 s
% 3.09/0.87 % (2958378)Peak memory usage: 10 MB
% 3.09/0.87 % (2958378)Instructions burned: 21 (million)
% 3.09/0.87 % (2958386)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3329372841:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.09/0.87 % (2958341)Instruction limit reached!
% 3.09/0.87 % (2958341)------------------------------
% 3.09/0.87 % (2958341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.87 % (2958341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.87 % (2958341)CaDiCaL version: 2.1.3
% 3.09/0.87 % (2958341)Termination reason: Instruction limit
% 3.09/0.87 % (2958341)Termination phase: Saturation
% 3.09/0.87 % (2958341)Time elapsed: 0.089 s
% 3.09/0.87 % (2958341)Peak memory usage: 14 MB
% 3.09/0.87 % (2958341)Instructions burned: 316 (million)
% 3.09/0.87 % (2958386)Instruction limit reached!
% 3.09/0.87 % (2958386)------------------------------
% 3.09/0.87 % (2958386)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.87 % (2958386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.87 % (2958386)CaDiCaL version: 2.1.3
% 3.09/0.87 % (2958386)Termination reason: Instruction limit
% 3.09/0.87 % (2958386)Termination phase: Property scanning
% 3.09/0.87 % (2958386)Time elapsed: 0.006 s
% 3.09/0.87 % (2958386)Peak memory usage: 10 MB
% 3.09/0.87 % (2958386)Instructions burned: 13 (million)
% 3.09/0.87 % (2958395)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=692597890:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.09/0.87 % (2958397)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2995309543:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.09/0.87 % (2958403)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=907805912:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.09/0.87 % (2958403)Instruction limit reached!
% 3.09/0.87 % (2958403)------------------------------
% 3.09/0.87 % (2958403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.87 % (2958403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.87 % (2958403)CaDiCaL version: 2.1.3
% 3.09/0.87 % (2958403)Termination reason: Instruction limit
% 3.09/0.87 % (2958403)Termination phase: Property scanning
% 3.09/0.87 % (2958403)Time elapsed: 0.007 s
% 3.09/0.87 % (2958403)Peak memory usage: 10 MB
% 3.09/0.87 % (2958403)Instructions burned: 33 (million)
% 3.09/0.87 % (2958405)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1294014355:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.09/0.87 % (2958417)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3379781282:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.09/0.87 % (2958397)Instruction limit reached!
% 3.09/0.87 % (2958397)------------------------------
% 3.09/0.87 % (2958397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.09/0.87 % (2958397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/0.87 % (2958397)CaDiCaL version: 2.1.3
% 3.09/0.87 % (2958397)Termination reason: Instruction limit
% 3.71/0.96 % (2958397)Termination phase: Property scanning
% 3.71/0.96 % (2958397)Time elapsed: 0.021 s
% 3.71/0.96 % (2958397)Peak memory usage: 11 MB
% 3.71/0.96 % (2958397)Instructions burned: 51 (million)
% 3.71/0.96 % (2958417)Instruction limit reached!
% 3.71/0.96 % (2958417)------------------------------
% 3.71/0.96 % (2958417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958417)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958417)Termination reason: Instruction limit
% 3.71/0.96 % (2958417)Termination phase: Property scanning
% 3.71/0.96 % (2958417)Time elapsed: 0.008 s
% 3.71/0.96 % (2958417)Peak memory usage: 10 MB
% 3.71/0.96 % (2958417)Instructions burned: 38 (million)
% 3.71/0.96 % (2958395)Instruction limit reached!
% 3.71/0.96 % (2958395)------------------------------
% 3.71/0.96 % (2958395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958395)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958395)Termination reason: Instruction limit
% 3.71/0.96 % (2958395)Termination phase: Property scanning
% 3.71/0.96 % (2958395)Time elapsed: 0.028 s
% 3.71/0.96 % (2958395)Peak memory usage: 11 MB
% 3.71/0.96 % (2958395)Instructions burned: 68 (million)
% 3.71/0.96 % (2958430)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.71/0.96 % (2958430)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1474684907:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.71/0.96 % (2958427)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=4249344674:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.71/0.96 % (2958431)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=707730169:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.71/0.96 % (2958380)Instruction limit reached!
% 3.71/0.96 % (2958380)------------------------------
% 3.71/0.96 % (2958380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958380)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958380)Termination reason: Instruction limit
% 3.71/0.96 % (2958380)Termination phase: Saturation
% 3.71/0.96 % (2958380)Time elapsed: 0.094 s
% 3.71/0.96 % (2958380)Peak memory usage: 13 MB
% 3.71/0.96 % (2958380)Instructions burned: 201 (million)
% 3.71/0.96 % (2958427)Instruction limit reached!
% 3.71/0.96 % (2958427)------------------------------
% 3.71/0.96 % (2958427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958427)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958427)Termination reason: Instruction limit
% 3.71/0.96 % (2958427)Termination phase: Saturation
% 3.71/0.96 % (2958427)Time elapsed: 0.029 s
% 3.71/0.96 % (2958427)Peak memory usage: 12 MB
% 3.71/0.96 % (2958427)Instructions burned: 67 (million)
% 3.71/0.96 % (2958405)Instruction limit reached!
% 3.71/0.96 % (2958405)------------------------------
% 3.71/0.96 % (2958405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958405)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958405)Termination reason: Instruction limit
% 3.71/0.96 % (2958405)Termination phase: Saturation
% 3.71/0.96 % (2958405)Time elapsed: 0.069 s
% 3.71/0.96 % (2958405)Peak memory usage: 13 MB
% 3.71/0.96 % (2958405)Instructions burned: 137 (million)
% 3.71/0.96 % (2958430)Instruction limit reached!
% 3.71/0.96 % (2958430)------------------------------
% 3.71/0.96 % (2958430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958430)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958430)Termination reason: Instruction limit
% 3.71/0.96 % (2958430)Termination phase: Saturation
% 3.71/0.96 % (2958430)Time elapsed: 0.046 s
% 3.71/0.96 % (2958430)Peak memory usage: 13 MB
% 3.71/0.96 % (2958430)Instructions burned: 181 (million)
% 3.71/0.96 % (2958450)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3875621546:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.71/0.96 % (2958452)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=170075651:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.71/0.96 % (2958459)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=702926006:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.71/0.96 % (2958457)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2896416366:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.71/0.96 % (2958452)Refutation not found, incomplete strategy
% 3.71/0.96 % (2958452)------------------------------
% 3.71/0.96 % (2958452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958452)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958452)Termination reason: Refutation not found, incomplete strategy
% 3.71/0.96 % (2958452)Time elapsed: 0.010 s
% 3.71/0.96 % (2958452)Peak memory usage: 12 MB
% 3.71/0.96 % (2958452)Instructions burned: 22 (million)
% 3.71/0.96 % (2958452)------------------------------
% 3.71/0.96 % (2958452)------------------------------
% 3.71/0.96 % (2958473)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=3059606119:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.71/0.96 % (2958450)Instruction limit reached!
% 3.71/0.96 % (2958450)------------------------------
% 3.71/0.96 % (2958450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958450)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958450)Termination reason: Instruction limit
% 3.71/0.96 % (2958450)Termination phase: Saturation
% 3.71/0.96 % (2958450)Time elapsed: 0.044 s
% 3.71/0.96 % (2958450)Peak memory usage: 13 MB
% 3.71/0.96 % (2958450)Instructions burned: 97 (million)
% 3.71/0.96 % (2958489)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2065372497:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.71/0.96 % (2958431)Instruction limit reached!
% 3.71/0.96 % (2958431)------------------------------
% 3.71/0.96 % (2958431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958431)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958431)Termination reason: Instruction limit
% 3.71/0.96 % (2958431)Termination phase: Saturation
% 3.71/0.96 % (2958431)Time elapsed: 0.120 s
% 3.71/0.96 % (2958431)Peak memory usage: 14 MB
% 3.71/0.96 % (2958431)Instructions burned: 246 (million)
% 3.71/0.96 % (2958489)Instruction limit reached!
% 3.71/0.96 % (2958489)------------------------------
% 3.71/0.96 % (2958489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958489)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958489)Termination reason: Instruction limit
% 3.71/0.96 % (2958489)Termination phase: Property scanning
% 3.71/0.96 % (2958489)Time elapsed: 0.018 s
% 3.71/0.96 % (2958489)Peak memory usage: 10 MB
% 3.71/0.96 % (2958489)Instructions burned: 45 (million)
% 3.71/0.96 % (2958473)Instruction limit reached!
% 3.71/0.96 % (2958473)------------------------------
% 3.71/0.96 % (2958473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958473)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958473)Termination reason: Instruction limit
% 3.71/0.96 % (2958473)Termination phase: Saturation
% 3.71/0.96 % (2958473)Time elapsed: 0.061 s
% 3.71/0.96 % (2958473)Peak memory usage: 13 MB
% 3.71/0.96 % (2958473)Instructions burned: 132 (million)
% 3.71/0.96 % (2958507)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=203659689:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.71/0.96 % (2958508)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=3243974661:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.71/0.96 % (2958516)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=1153601895:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.71/0.96 % (2958459)Instruction limit reached!
% 3.71/0.96 % (2958459)------------------------------
% 3.71/0.96 % (2958459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958459)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958459)Termination reason: Instruction limit
% 3.71/0.96 % (2958459)Termination phase: Saturation
% 3.71/0.96 % (2958459)Time elapsed: 0.136 s
% 3.71/0.96 % (2958459)Peak memory usage: 15 MB
% 3.71/0.96 % (2958459)Instructions burned: 517 (million)
% 3.71/0.96 % (2958536)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=4256854909:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2994 on theBenchmark for (2994ds/65Mi)
% 3.71/0.96 % (2958516)Instruction limit reached!
% 3.71/0.96 % (2958516)------------------------------
% 3.71/0.96 % (2958516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958516)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958516)Termination reason: Instruction limit
% 3.71/0.96 % (2958516)Termination phase: Saturation
% 3.71/0.96 % (2958516)Time elapsed: 0.044 s
% 3.71/0.96 % (2958516)Peak memory usage: 13 MB
% 3.71/0.96 % (2958516)Instructions burned: 95 (million)
% 3.71/0.96 % (2958536)Instruction limit reached!
% 3.71/0.96 % (2958536)------------------------------
% 3.71/0.96 % (2958536)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958536)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958536)Termination reason: Instruction limit
% 3.71/0.96 % (2958536)Termination phase: Property scanning
% 3.71/0.96 % (2958536)Time elapsed: 0.014 s
% 3.71/0.96 % (2958536)Peak memory usage: 11 MB
% 3.71/0.96 % (2958536)Instructions burned: 65 (million)
% 3.71/0.96 % (2958546)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=3582675955:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2993 on theBenchmark for (2993ds/5755Mi)
% 3.71/0.96 % (2958543)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3554864948:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2993 on theBenchmark for (2993ds/105Mi)
% 3.71/0.96 % (2958352) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2958149-2958352"...
% 3.71/0.96 % (2958543)Instruction limit reached!
% 3.71/0.96 % (2958543)------------------------------
% 3.71/0.96 % (2958543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958543)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958543)Termination reason: Instruction limit
% 3.71/0.96 % (2958543)Termination phase: Saturation
% 3.71/0.96 % (2958543)Time elapsed: 0.048 s
% 3.71/0.96 % (2958543)Peak memory usage: 13 MB
% 3.71/0.96 % (2958352)...printing done.
% 3.71/0.96 % (2958543)Instructions burned: 106 (million)
% 3.71/0.96 % (2958352)Refutation found. Thanks to Tanya!
% 3.71/0.96 % SZS status Theorem for theBenchmark
% 3.71/0.96 % SZS output start Proof for theBenchmark
% 3.71/0.96 thf(type_def_5, type, u: $tType).
% 3.71/0.96 thf(type_def_6, type, d: $tType).
% 3.71/0.96 thf(type_def_7, type, du: $tType).
% 3.71/0.96 thf(type_def_8, type, mono_2Etyop_2Enum_2Enum: $tType).
% 3.71/0.96 thf(type_def_9, type, mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: $tType).
% 3.71/0.96 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 3.71/0.96 thf(func_def_0, type, tyop_2Emin_2Ebool: d).
% 3.71/0.96 thf(func_def_1, type, tyop_2Emin_2Efun: (d > d > d)).
% 3.71/0.96 thf(func_def_2, type, tyop_2Enum_2Enum: d).
% 3.71/0.96 thf(func_def_3, type, tyop_2Epair_2Eprod: (d > d > d)).
% 3.71/0.96 thf(func_def_4, type, s: (d > u > du)).
% 3.71/0.96 thf(func_def_5, type, app_2E2: (du > du > u)).
% 3.71/0.96 thf(func_def_6, type, combin_i_2E0: u).
% 3.71/0.96 thf(func_def_7, type, combin_k_2E0: u).
% 3.71/0.96 thf(func_def_8, type, combin_s_2E0: u).
% 3.71/0.96 thf(func_def_9, type, c_2Ebool_2E_21_2E0: u).
% 3.71/0.96 thf(func_def_10, type, c_2Ebool_2E_21_2E1: (du > u)).
% 3.71/0.96 thf(func_def_11, type, c_2Ebool_2E_2F_5C_2E0: u).
% 3.71/0.96 thf(func_def_12, type, c_2Ebool_2E_2F_5C_2E2: (du > du > u)).
% 3.71/0.96 thf(func_def_13, type, c_2Emin_2E_3D_2E0: u).
% 3.71/0.96 thf(func_def_14, type, c_2Emin_2E_3D_2E2: (du > du > u)).
% 3.71/0.96 thf(func_def_15, type, c_2Emin_2E_3D_3D_3E_2E0: u).
% 3.71/0.96 thf(func_def_16, type, c_2Emin_2E_3D_3D_3E_2E2: (du > du > u)).
% 3.71/0.96 thf(func_def_17, type, c_2Ebool_2E_3F_2E0: u).
% 3.71/0.96 thf(func_def_18, type, c_2Ebool_2E_3F_2E1: (du > u)).
% 3.71/0.96 thf(func_def_19, type, c_2Epred__set_2EBIJ_2E0: u).
% 3.71/0.96 thf(func_def_20, type, c_2Epred__set_2EBIJ_2E3: (du > du > du > u)).
% 3.71/0.96 thf(func_def_21, type, c_2Epred__set_2ECROSS_2E0: u).
% 3.71/0.96 thf(func_def_22, type, c_2Epred__set_2ECROSS_2E2: (du > du > u)).
% 3.71/0.96 thf(func_def_23, type, c_2Ebool_2EF_2E0: u).
% 3.71/0.96 thf(func_def_24, type, c_2Ebool_2ET_2E0: u).
% 3.71/0.96 thf(func_def_25, type, c_2Epred__set_2EUNIV_2E0: u).
% 3.71/0.96 thf(func_def_26, type, c_2Ebool_2E_5C_2F_2E0: u).
% 3.71/0.96 thf(func_def_27, type, c_2Ebool_2E_5C_2F_2E2: (du > du > u)).
% 3.71/0.96 thf(func_def_28, type, c_2Ebool_2E_7E_2E0: u).
% 3.71/0.96 thf(func_def_29, type, c_2Ebool_2E_7E_2E1: (du > u)).
% 3.71/0.96 thf(func_def_30, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool: (($o > $o) > $o > $o)).
% 3.71/0.96 thf(func_def_31, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: (($o > $o > $o) > $o > $o > $o)).
% 3.71/0.96 thf(func_def_32, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: (((mono_2Etyop_2Enum_2Enum > $o) > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o)).
% 3.71/0.96 thf(func_def_33, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: (((mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o)).
% 3.71/0.96 thf(func_def_34, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: (((mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o)).
% 3.71/0.96 thf(func_def_35, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: (((mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o)).
% 3.71/0.96 thf(func_def_36, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: (((mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o)).
% 3.71/0.96 thf(func_def_37, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Ebool: (((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o)).
% 3.71/0.96 thf(func_def_38, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: (((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o)).
% 3.71/0.96 thf(func_def_39, type, mono_2Eapp_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: (((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o)).
% 3.71/0.96 thf(func_def_40, type, mono_2Ec_2Ebool_2E_2F_5C: ($o > $o > $o)).
% 3.71/0.96 thf(func_def_41, type, mono_2Ec_2Emin_2E_3D_3D_3E: ($o > $o > $o)).
% 3.71/0.96 thf(func_def_42, type, mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29: ((mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o)).
% 3.71/0.96 thf(func_def_43, type, mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum: ((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o)).
% 3.71/0.96 thf(func_def_44, type, mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum: ((mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o)).
% 3.71/0.96 thf(func_def_45, type, mono_2Ec_2Ebool_2EF: $o).
% 3.71/0.96 thf(func_def_46, type, mono_2Ec_2Ebool_2ET: $o).
% 3.71/0.96 thf(func_def_47, type, mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum: (mono_2Etyop_2Enum_2Enum > $o)).
% 3.71/0.96 thf(func_def_48, type, mono_2Ec_2Ebool_2E_5C_2F: ($o > $o > $o)).
% 3.71/0.96 thf(func_def_49, type, mono_2Ec_2Ebool_2E_7E: ($o > $o)).
% 3.71/0.96 thf(func_def_50, type, i_mono_2Etyop_2Emin_2Ebool: ($o > u)).
% 3.71/0.96 thf(func_def_51, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: (($o > $o) > u)).
% 3.71/0.96 thf(func_def_52, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: (($o > $o > $o) > u)).
% 3.71/0.96 thf(func_def_53, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: (((mono_2Etyop_2Enum_2Enum > $o) > $o) > u)).
% 3.71/0.96 thf(func_def_54, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29: (((mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > u)).
% 3.71/0.96 thf(func_def_55, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: (((mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > u)).
% 3.71/0.96 thf(func_def_56, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: (((mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > u)).
% 3.71/0.96 thf(func_def_57, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: (((mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > u)).
% 3.71/0.96 thf(func_def_58, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: (((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o) > u)).
% 3.71/0.96 thf(func_def_59, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: (((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o) > u)).
% 3.71/0.96 thf(func_def_60, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: (((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o) > u)).
% 3.71/0.96 thf(func_def_61, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Enum_2Enum > $o) > u)).
% 3.71/0.96 thf(func_def_62, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: ((mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > u)).
% 3.71/0.96 thf(func_def_63, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: ((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > u)).
% 3.71/0.96 thf(func_def_64, type, i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: ((mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > u)).
% 3.71/0.96 thf(func_def_65, type, j_mono_2Etyop_2Emin_2Ebool: (du > $o)).
% 3.71/0.96 thf(func_def_66, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29: (du > $o > $o)).
% 3.71/0.96 thf(func_def_67, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29: (du > $o > $o > $o)).
% 3.71/0.96 thf(func_def_68, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: (du > (mono_2Etyop_2Enum_2Enum > $o) > $o)).
% 3.71/0.96 thf(func_def_69, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29_29: (du > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o)).
% 3.71/0.96 thf(func_def_70, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: (du > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o)).
% 3.71/0.96 thf(func_def_71, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_29: (du > (mono_2Etyop_2Enum_2Enum > $o) > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o)).
% 3.71/0.96 thf(func_def_72, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: (du > (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29) > (mono_2Etyop_2Enum_2Enum > $o) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o)).
% 3.71/0.96 thf(func_def_73, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29: (du > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > $o)).
% 3.71/0.96 thf(func_def_74, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29: (du > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o)).
% 3.71/0.96 thf(func_def_75, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29_2Ctyop_2Emin_2Ebool_29_29_29: (du > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum) > (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o) > (mono_2Etyop_2Enum_2Enum > $o) > $o)).
% 3.71/0.96 thf(func_def_76, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29: (du > mono_2Etyop_2Enum_2Enum > $o)).
% 3.71/0.96 thf(func_def_77, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29: (du > mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)).
% 3.71/0.96 thf(func_def_78, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29: (du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o)).
% 3.71/0.96 thf(func_def_79, type, j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29: (du > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum)).
% 3.71/0.96 thf(func_def_81, type, vNOT: ($o > $o)).
% 3.71/0.96 thf(func_def_84, type, vOR: ($o > $o > $o)).
% 3.71/0.96 thf(func_def_85, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 3.71/0.96 thf(func_def_86, type, db0: !>[X0: $tType]:(X0)).
% 3.71/0.96 thf(func_def_87, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.71/0.96 thf(func_def_88, type, sP0: ($o > $o > $o > $o)).
% 3.71/0.96 thf(func_def_89, type, sK1: (u > d > u)).
% 3.71/0.96 thf(func_def_90, type, sK2: (u > d > $o > u)).
% 3.71/0.96 thf(func_def_91, type, sK3: (d > u > $o > u)).
% 3.71/0.96 thf(func_def_92, type, sK4: (d > u > u)).
% 3.71/0.96 thf(func_def_93, type, sK5: (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum)).
% 3.71/0.96 thf(func_def_94, type, sK6: (d > u > u)).
% 3.71/0.96 thf(func_def_95, type, sK7: ($o > d > u > u)).
% 3.71/0.96 thf(func_def_96, type, sK8: (u > $o > d > u)).
% 3.71/0.96 thf(func_def_97, type, sK9: (u > d > u)).
% 3.71/0.96 thf(func_def_98, type, sK10: (u > d > u)).
% 3.71/0.96 thf(func_def_99, type, sK11: ($o > u > d > u)).
% 3.71/0.96 thf(func_def_100, type, sK12: ($o > u > d > u)).
% 3.71/0.96 thf(func_def_101, type, sK13: (u > d > u)).
% 3.71/0.96 thf(func_def_102, type, sK14: (d > u > u)).
% 3.71/0.96 thf(func_def_103, type, sK15: (d > $o > u > u)).
% 3.71/0.96 thf(func_def_104, type, sK16: (u > d > d > u > u)).
% 3.71/0.96 thf(func_def_105, type, sK17: (u > d > d > u > u)).
% 3.71/0.96 thf(func_def_106, type, sK18: (d > d > u > u)).
% 3.71/0.96 thf(func_def_107, type, sK19: (d > d > u > u)).
% 3.71/0.96 thf(func_def_108, type, sK20: (d > u > u)).
% 3.71/0.96 thf(func_def_109, type, sK21: (d > u > u)).
% 3.71/0.96 thf(func_def_110, type, sK22: (u > d > u)).
% 3.71/0.96 thf(func_def_111, type, sK23: ($o > u > d > u)).
% 3.71/0.96 thf(func_def_112, type, sK24: (u > d > d > u > u)).
% 3.71/0.96 thf(func_def_113, type, sK25: (u > d > d > u > u)).
% 3.71/0.96 thf(func_def_114, type, sK26: (u > d > u > d > u)).
% 3.71/0.96 thf(func_def_115, type, sK27: (d > u > u)).
% 3.71/0.96 thf(func_def_116, type, sK28: (d > u > u)).
% 3.71/0.96 thf(f7,axiom,(
% 3.71/0.96 ! [X0 : $o] : ((~ X0) <=> (mono_2Ec_2Ebool_2E_7E @ X0))),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',reserved_2Elogic_2E_7E)).
% 3.71/0.96 thf(f23,axiom,(
% 3.71/0.96 ! [X0 : u] : (((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ X0))))) = ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ X0)))),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29)).
% 3.71/0.96 thf(f24,axiom,(
% 3.71/0.96 ! [X0 : u] : (((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X0))))) = ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X0)))),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29)).
% 3.71/0.96 thf(f25,axiom,(
% 3.71/0.96 ! [X0 : u] : (((s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ X0))))) = ((s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ X0)))),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ij_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29)).
% 3.71/0.96 thf(f27,axiom,(
% 3.71/0.96 ! [X0 : $o] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0)))) = X0)),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Ebool)).
% 3.71/0.96 thf(f38,axiom,(
% 3.71/0.96 ! [X0 : (mono_2Etyop_2Enum_2Enum > $o)] : (((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0)))) = X0)),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29)).
% 3.71/0.96 thf(f40,axiom,(
% 3.71/0.96 ! [X0 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o)] : (((j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X0)))) = X0)),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ji_2Emono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29)).
% 3.71/0.96 thf(f58,axiom,(
% 3.71/0.96 ! [X1 : (mono_2Etyop_2Enum_2Enum > $o),X2 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o),X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : (((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ X1 @ X2)))) = ((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X2))))))),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)).
% 3.71/0.96 thf(f60,axiom,(
% 3.71/0.96 ! [X1 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o),X2 : (mono_2Etyop_2Enum_2Enum > $o),X0 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum)] : (((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2)))) = ((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2))))))),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',monoeq_2Emono_2Ec_2Epred__set_2EBIJ_2E3_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum)).
% 3.71/0.96 thf(f62,axiom,(
% 3.71/0.96 ! [X1 : (mono_2Etyop_2Enum_2Enum > $o),X0 : (mono_2Etyop_2Enum_2Enum > $o)] : (((s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ X0 @ X1)))) = ((s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1))))))),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',monoeq_2Emono_2Ec_2Epred__set_2ECROSS_2E2_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum)).
% 3.71/0.96 thf(f63,axiom,(
% 3.71/0.96 (((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))) = ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',monoeq_2Emono_2Ec_2Epred__set_2EUNIV_2E0_2Emono_2Etyop_2Enum_2Enum)).
% 3.71/0.96 thf(f93,axiom,(
% 3.71/0.96 ! [X3 : u,X1 : d,X2 : u,X0 : d] : (? [X5 : u] : (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X0) @ X5) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3) @ (s @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool) @ X2)))) <=> ? [X4 : u] : (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X0 @ X1) @ X4) @ (s @ (tyop_2Emin_2Efun @ X0 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X3)))))),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Epred__set_2EBIJ__SYM)).
% 3.71/0.96 thf(f104,axiom,(
% 3.71/0.96 ? [X0 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum)] : (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eutil__prob_2ENUM__2D__BIJ)).
% 3.71/0.96 thf(f105,conjecture,(
% 3.71/0.96 ? [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))),
% 3.71/0.96 file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm_2Eutil__prob_2ENUM__2D__BIJ__INV)).
% 3.71/0.96 thf(f106,negated_conjecture,(
% 3.71/0.96 ~ ? [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))),
% 3.71/0.96 inference(negated_conjecture,[status(cth)],[f105])).
% 3.71/0.96 thf(f127,plain,(
% 3.71/0.96 ~ ? [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))),
% 3.71/0.96 inference(rectify,[],[f106])).
% 3.71/0.96 thf(f128,plain,(
% 3.71/0.96 ~ ? [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : (((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))) = $true)),
% 3.71/0.96 inference(fool_elimination,[],[f127])).
% 3.71/0.96 thf(f131,plain,(
% 3.71/0.96 ! [X0 : $o] : ((~ X0) <=> (mono_2Ec_2Ebool_2E_7E @ X0))),
% 3.71/0.96 inference(rectify,[],[f7])).
% 3.71/0.96 thf(f132,plain,(
% 3.71/0.96 ! [X0 : $o] : (((mono_2Ec_2Ebool_2E_7E @ X0)) = ((~ X0)))),
% 3.71/0.96 inference(fool_elimination,[],[f131])).
% 3.71/0.96 thf(f157,plain,(
% 3.71/0.96 ? [X0 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum)] : (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)),
% 3.71/0.96 inference(rectify,[],[f104])).
% 3.71/0.96 thf(f158,plain,(
% 3.71/0.96 ? [X0 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum)] : (((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)) = $true)),
% 3.71/0.96 inference(fool_elimination,[],[f157])).
% 3.71/0.96 thf(f165,plain,(
% 3.71/0.96 ! [X0 : u,X1 : d,X2 : u,X3 : d] : (? [X4 : u] : (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X2)))) <=> ? [X5 : u] : (j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X5) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0)))))),
% 3.71/0.96 inference(rectify,[],[f93])).
% 3.71/0.96 thf(f166,plain,(
% 3.71/0.96 ! [X2 : u,X3 : d,X1 : d,X0 : u] : (? [X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X5) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0))))) = $true) <=> ? [X4 : u] : ($true = ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X2)))))))),
% 3.71/0.96 inference(fool_elimination,[],[f165])).
% 3.71/0.96 thf(f191,plain,(
% 3.71/0.96 ! [X0 : (mono_2Etyop_2Enum_2Enum > $o),X1 : (mono_2Etyop_2Enum_2Enum > $o)] : (((s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ X1 @ X0)))) = ((s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0))))))),
% 3.71/0.96 inference(rectify,[],[f62])).
% 3.71/0.96 thf(f196,plain,(
% 3.71/0.96 ! [X2 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29),X0 : (mono_2Etyop_2Enum_2Enum > $o),X1 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o)] : (((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X2 @ X0 @ X1)))) = ((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1))))))),
% 3.71/0.96 inference(rectify,[],[f58])).
% 3.71/0.96 thf(f203,plain,(
% 3.71/0.96 ! [X0 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o),X1 : (mono_2Etyop_2Enum_2Enum > $o),X2 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum)] : (((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1))))) = ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X2 @ X0 @ X1)))))),
% 3.71/0.96 inference(rectify,[],[f60])).
% 3.71/0.96 thf(f207,plain,(
% 3.71/0.96 ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : (((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))) != $true)),
% 3.71/0.96 inference(ennf_transformation,[],[f128])).
% 3.71/0.96 thf(f245,plain,(
% 3.71/0.96 ($true = ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK5 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))),
% 3.71/0.96 inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f158])).
% 3.71/0.96 thf(f314,plain,(
% 3.71/0.96 ! [X2 : u,X3 : d,X1 : d,X0 : u] : ((? [X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X5) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0))))) = $true) | ! [X4 : u] : ($true != ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X2))))))) & (? [X4 : u] : ($true = ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X3) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X2)))))) | ! [X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X3 @ X1) @ X5) @ (s @ (tyop_2Emin_2Efun @ X3 @ tyop_2Emin_2Ebool) @ X2) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0))))) != $true)))),
% 3.71/0.96 inference(nnf_transformation,[],[f166])).
% 3.71/0.96 thf(f315,plain,(
% 3.71/0.96 ! [X0 : u,X1 : d,X2 : d,X3 : u] : ((? [X4 : u] : ($true = ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X4) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ X3)))))) | ! [X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X5) @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0))))) != $true)) & (? [X6 : u] : ($true = ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X6) @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0)))))) | ! [X7 : u] : ($true != ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ X3))))))))),
% 3.71/0.96 inference(rectify,[],[f314])).
% 3.71/0.96 thf(f316,plain,(
% 3.71/0.96 ! [X0 : u,X1 : d,X2 : d,X3 : u] : (((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ (sK24 @ X3 @ X2 @ X1 @ X0)) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ X3))))) = $true) | ! [X5 : u] : (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ X5) @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0))))) != $true)) & (($true = ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ (sK25 @ X3 @ X2 @ X1 @ X0)) @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0)))))) | ! [X7 : u] : ($true != ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ X3))))))))),
% 3.71/0.96 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP]),skolemize(X6,sK2 @ X2 @ X1 @ X0),skolemize(X6,sK2 @ X2 @ X1 @ X0)],[f315])).
% 3.71/0.96 thf(f319,plain,(
% 3.71/0.96 ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29),X1 : (mono_2Etyop_2Enum_2Enum > $o),X2 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o)] : (((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ X1 @ X2)))) = ((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X2))))))),
% 3.71/0.96 inference(rectify,[],[f196])).
% 3.71/0.96 thf(f380,plain,(
% 3.71/0.96 (((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))) = ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))),
% 3.71/0.96 inference(cnf_transformation,[],[f63])).
% 3.71/0.96 thf(f388,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > $o)] : ((((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0)))) = X0)) )),
% 3.71/0.96 inference(cnf_transformation,[],[f38])).
% 3.71/0.96 thf(f473,plain,(
% 3.71/0.96 ( ! [X0 : $o] : ((((mono_2Ec_2Ebool_2E_7E @ X0)) = ((~ X0)))) )),
% 3.71/0.96 inference(cnf_transformation,[],[f132])).
% 3.71/0.96 thf(f474,plain,(
% 3.71/0.96 ($true = ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK5 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))),
% 3.71/0.96 inference(cnf_transformation,[],[f245])).
% 3.71/0.96 thf(f479,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : ((((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))) != $true)) )),
% 3.71/0.96 inference(cnf_transformation,[],[f207])).
% 3.71/0.96 thf(f482,plain,(
% 3.71/0.96 ( ! [X0 : u] : ((((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ X0)) = ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ X0))))))) )),
% 3.71/0.96 inference(cnf_transformation,[],[f23])).
% 3.71/0.96 thf(f491,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o)] : ((((j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X0)))) = X0)) )),
% 3.71/0.96 inference(cnf_transformation,[],[f40])).
% 3.71/0.96 thf(f492,plain,(
% 3.71/0.96 ( ! [X0 : u] : ((((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X0)) = ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X0))))))) )),
% 3.71/0.96 inference(cnf_transformation,[],[f24])).
% 3.71/0.96 thf(f497,plain,(
% 3.71/0.96 ( ! [X0 : $o] : ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0)))) = X0)) )),
% 3.71/0.96 inference(cnf_transformation,[],[f27])).
% 3.71/0.96 thf(f560,plain,(
% 3.71/0.96 ( ! [X2 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum),X0 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o),X1 : (mono_2Etyop_2Enum_2Enum > $o)] : ((((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Enum_2Enum_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1))))) = ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X2 @ X0 @ X1)))))) )),
% 3.71/0.96 inference(cnf_transformation,[],[f203])).
% 3.71/0.96 thf(f589,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > $o),X1 : (mono_2Etyop_2Enum_2Enum > $o)] : ((((s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ X1 @ X0)))) = ((s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0))))))) )),
% 3.71/0.96 inference(cnf_transformation,[],[f191])).
% 3.71/0.96 thf(f590,plain,(
% 3.71/0.96 ( ! [X0 : u] : ((((s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ X0)) = ((s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ X0))))))) )),
% 3.71/0.96 inference(cnf_transformation,[],[f25])).
% 3.71/0.96 thf(f645,plain,(
% 3.71/0.96 ( ! [X2 : d,X3 : u,X0 : u,X1 : d,X7 : u] : (($true != ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X1 @ X2) @ X7) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0) @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ X3)))))) | ($true = ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ X2 @ X1) @ (sK25 @ X3 @ X2 @ X1 @ X0)) @ (s @ (tyop_2Emin_2Efun @ X2 @ tyop_2Emin_2Ebool) @ X3) @ (s @ (tyop_2Emin_2Efun @ X1 @ tyop_2Emin_2Ebool) @ X0))))))) )),
% 3.71/0.96 inference(cnf_transformation,[],[f316])).
% 3.71/0.96 thf(f693,plain,(
% 3.71/0.96 ( ! [X2 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o),X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29),X1 : (mono_2Etyop_2Enum_2Enum > $o)] : ((((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ X1 @ X2)))) = ((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X2))))))) )),
% 3.71/0.96 inference(cnf_transformation,[],[f319])).
% 3.71/0.96 thf(f1230,plain,(
% 3.71/0.96 ( ! [X0 : $o] : ((((mono_2Ec_2Ebool_2E_7E @ X0)) = $true) | (((~ X0)) = $false)) )),
% 3.71/0.96 inference(iff_proxy_clausification,[],[f473])).
% 3.71/0.96 thf(f1231,plain,(
% 3.71/0.96 ( ! [X0 : $o] : ((((~ X0)) = $true) | (((mono_2Ec_2Ebool_2E_7E @ X0)) = $false)) )),
% 3.71/0.96 inference(iff_proxy_clausification,[],[f473])).
% 3.71/0.96 thf(f1232,plain,(
% 3.71/0.96 ( ! [X0 : $o] : ((((mono_2Ec_2Ebool_2E_7E @ X0)) = $false) | ($false = X0)) )),
% 3.71/0.96 inference(not_proxy_clausification,[],[f1231])).
% 3.71/0.96 thf(f1233,plain,(
% 3.71/0.96 ( ! [X0 : $o] : ((((mono_2Ec_2Ebool_2E_7E @ X0)) = $true) | ($true = X0)) )),
% 3.71/0.96 inference(not_proxy_clausification,[],[f1230])).
% 3.71/0.96 thf(f1462,plain,(
% 3.71/0.96 ( ! [X0 : $o] : ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0)))) = $true) | ($false = X0)) )),
% 3.71/0.96 inference(iff_proxy_clausification,[],[f497])).
% 3.71/0.96 thf(f1463,plain,(
% 3.71/0.96 ( ! [X0 : $o] : ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ X0)))) = $false) | ($true = X0)) )),
% 3.71/0.96 inference(iff_proxy_clausification,[],[f497])).
% 3.71/0.96 thf(f1747,definition,(
% 3.71/0.96 spl29_5 <=> (((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))) = ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))),
% 3.71/0.96 introduced(definition,[new_symbols(definition,[spl29_5])],[avatar_definition])).
% 3.71/0.96 thf(f1749,plain,(
% 3.71/0.96 (((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))) = ((s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))) | ~spl29_5),
% 3.71/0.96 inference(avatar_component_clause,[],[f1747])).
% 3.71/0.96 thf(f1750,plain,(
% 3.71/0.96 spl29_5),
% 3.71/0.96 inference(avatar_split_clause,[],[f380,f1747])).
% 3.71/0.96 thf(f1803,definition,(
% 3.71/0.96 spl29_15 <=> ($true = ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK5 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum)))),
% 3.71/0.96 introduced(definition,[new_symbols(definition,[spl29_15])],[avatar_definition])).
% 3.71/0.96 thf(f1805,plain,(
% 3.71/0.96 ($true = ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK5 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum) @ mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum))) | ~spl29_15),
% 3.71/0.96 inference(avatar_component_clause,[],[f1803])).
% 3.71/0.96 thf(f1806,plain,(
% 3.71/0.96 spl29_15),
% 3.71/0.96 inference(avatar_split_clause,[],[f474,f1803])).
% 3.71/0.96 thf(f1815,plain,(
% 3.71/0.96 ( ! [X2 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29),X3 : (mono_2Etyop_2Enum_2Enum > $o),X0 : (mono_2Etyop_2Enum_2Enum > $o),X1 : (mono_2Etyop_2Enum_2Enum > $o)] : ((((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X2 @ X3 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ X0 @ X1))))) = ((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X3)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1))))))))) )),
% 3.71/0.96 inference(superposition,[],[f693,f589])).
% 3.71/0.96 thf(f1821,plain,(
% 3.71/0.96 (mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum = ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) | ~spl29_5),
% 3.71/0.96 inference(superposition,[],[f388,f1749])).
% 3.71/0.96 thf(f1825,definition,(
% 3.71/0.96 spl29_17 <=> (mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum = ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))),
% 3.71/0.96 introduced(definition,[new_symbols(definition,[spl29_17])],[avatar_definition])).
% 3.71/0.96 thf(f1827,plain,(
% 3.71/0.96 (mono_2Ec_2Epred__set_2EUNIV_2Emono_2Etyop_2Enum_2Enum = ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) | ~spl29_17),
% 3.71/0.96 inference(avatar_component_clause,[],[f1825])).
% 3.71/0.96 thf(f1828,plain,(
% 3.71/0.96 spl29_17 | ~spl29_5),
% 3.71/0.96 inference(avatar_split_clause,[],[f1821,f1747,f1825])).
% 3.71/0.96 thf(f1849,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > $o),X1 : (mono_2Etyop_2Enum_2Enum > $o)] : ((((mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ X0 @ X1)) = ((j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X1)))))))) )),
% 3.71/0.96 inference(superposition,[],[f491,f589])).
% 3.71/0.96 thf(f1903,plain,(
% 3.71/0.96 (((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK5 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) = $true) | (~spl29_15 | ~spl29_17)),
% 3.71/0.96 inference(backward_demodulation,[],[f1805,f1827])).
% 3.71/0.96 thf(f1905,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : (($true != ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))))) ) | ~spl29_17),
% 3.71/0.96 inference(backward_demodulation,[],[f479,f1827])).
% 3.71/0.96 thf(f1910,definition,(
% 3.71/0.96 spl29_18 <=> (((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK5 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) = $true)),
% 3.71/0.96 introduced(definition,[new_symbols(definition,[spl29_18])],[avatar_definition])).
% 3.71/0.96 thf(f1912,plain,(
% 3.71/0.96 (((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK5 @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) = $true) | ~spl29_18),
% 3.71/0.96 inference(avatar_component_clause,[],[f1910])).
% 3.71/0.96 thf(f1913,plain,(
% 3.71/0.96 spl29_18 | ~spl29_15 | ~spl29_17),
% 3.71/0.96 inference(avatar_split_clause,[],[f1903,f1825,f1803,f1910])).
% 3.71/0.96 thf(f1936,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : (($true = ((mono_2Ec_2Ebool_2E_7E @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))))))) ) | ~spl29_17),
% 3.71/0.96 inference(unit_resulting_resolution,[],[f1233,f1905])).
% 3.71/0.96 thf(f2003,plain,(
% 3.71/0.96 ( ! [X2 : (mono_2Etyop_2Enum_2Enum > $o),X0 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > mono_2Etyop_2Enum_2Enum),X1 : (mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 > $o)] : ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ X0 @ X1 @ X2))))) != $true) | (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (sK25 @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2) @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1))) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ X2)) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ X1)))))) = $true)) )),
% 3.71/0.96 inference(superposition,[],[f645,f560])).
% 3.71/0.96 thf(f2005,definition,(
% 3.71/0.96 spl29_21 <=> (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))) = $true)),
% 3.71/0.96 introduced(definition,[new_symbols(definition,[spl29_21])],[avatar_definition])).
% 3.71/0.96 thf(f2007,plain,(
% 3.71/0.96 (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))) != $true) | spl29_21),
% 3.71/0.96 inference(avatar_component_clause,[],[f2005])).
% 3.71/0.96 thf(f2059,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : (($true = $false) | (((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))) = $false)) ) | ~spl29_17),
% 3.71/0.96 inference(superposition,[],[f1936,f1232])).
% 3.71/0.96 thf(f2061,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : ((((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))) = $false)) ) | ~spl29_17),
% 3.71/0.96 inference(trivial_inequality_removal,[],[f2059])).
% 3.71/0.96 thf(f2064,definition,(
% 3.71/0.96 spl29_24 <=> ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : (((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))) = $false)),
% 3.71/0.96 introduced(definition,[new_symbols(definition,[spl29_24])],[avatar_definition])).
% 3.71/0.96 thf(f2065,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : ((((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))) = $false)) ) | ~spl29_24),
% 3.71/0.96 inference(avatar_component_clause,[],[f2064])).
% 3.71/0.96 thf(f2071,plain,(
% 3.71/0.96 spl29_24 | ~spl29_17),
% 3.71/0.96 inference(avatar_split_clause,[],[f2061,f1825,f2064])).
% 3.71/0.96 thf(f2094,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : ((((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ (mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29 @ X0 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (mono_2Ec_2Epred__set_2ECROSS_2Emono_2Etyop_2Enum_2Enum_20mono_2Etyop_2Enum_2Enum @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))))))) = $false)) ) | ~spl29_17),
% 3.71/0.96 inference(unit_resulting_resolution,[],[f1463,f1905])).
% 3.71/0.96 thf(f2145,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : ((((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))) = ((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))))))))) ) | ~spl29_24),
% 3.71/0.96 inference(superposition,[],[f1815,f2065])).
% 3.71/0.96 thf(f2153,plain,(
% 3.71/0.96 ( ! [X0 : (mono_2Etyop_2Enum_2Enum > mono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29)] : ((((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))) = ((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_29 @ X0)) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))))))) ) | ~spl29_24),
% 3.71/0.96 inference(forward_demodulation,[],[f2145,f482])).
% 3.71/0.96 thf(f2188,plain,(
% 3.71/0.96 (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)))) = $false) | (~spl29_17 | ~spl29_24)),
% 3.71/0.96 inference(forward_demodulation,[],[f2094,f2065])).
% 3.71/0.96 thf(f2190,definition,(
% 3.71/0.96 spl29_28 <=> (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)))) = $false)),
% 3.71/0.96 introduced(definition,[new_symbols(definition,[spl29_28])],[avatar_definition])).
% 3.71/0.96 thf(f2192,plain,(
% 3.71/0.96 (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false)))) = $false) | ~spl29_28),
% 3.71/0.96 inference(avatar_component_clause,[],[f2190])).
% 3.71/0.96 thf(f2193,plain,(
% 3.71/0.96 spl29_28 | ~spl29_17 | ~spl29_24),
% 3.71/0.96 inference(avatar_split_clause,[],[f2188,f2064,f1825,f2190])).
% 3.71/0.96 thf(f2199,plain,(
% 3.71/0.96 (((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK5 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))))) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) = $true) | ~spl29_18),
% 3.71/0.96 inference(backward_demodulation,[],[f1912,f1849])).
% 3.71/0.96 thf(f2211,plain,(
% 3.71/0.96 ($true = ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK5 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))) | ~spl29_18),
% 3.71/0.96 inference(forward_demodulation,[],[f2199,f482])).
% 3.71/0.96 thf(f2216,definition,(
% 3.71/0.96 spl29_29 <=> ($true = ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK5 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))))),
% 3.71/0.96 introduced(definition,[new_symbols(definition,[spl29_29])],[avatar_definition])).
% 3.71/0.96 thf(f2218,plain,(
% 3.71/0.96 ($true = ((mono_2Ec_2Epred__set_2EBIJ_2Emono_2Etyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_20mono_2Etyop_2Enum_2Enum @ sK5 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))) | ~spl29_29),
% 3.71/0.96 inference(avatar_component_clause,[],[f2216])).
% 3.71/0.96 thf(f2219,plain,(
% 3.71/0.96 spl29_29 | ~spl29_18),
% 3.71/0.96 inference(avatar_split_clause,[],[f2211,f1910,f2216])).
% 3.71/0.96 thf(f2434,plain,(
% 3.71/0.96 ( ! [X0 : u] : ((((s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ X0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))))) = ((s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))) ) | ~spl29_24),
% 3.71/0.96 inference(superposition,[],[f2153,f492])).
% 3.71/0.96 thf(f4081,plain,(
% 3.71/0.96 ($true = ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (sK25 @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))) @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))))) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))))))))) | (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))) != $true) | ~spl29_29),
% 3.71/0.96 inference(superposition,[],[f2003,f2218])).
% 3.71/0.96 thf(f4153,plain,(
% 3.71/0.96 (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))) != $true) | ($true = ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (sK25 @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))) @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))))) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))))))))) | ~spl29_29),
% 3.71/0.96 inference(forward_demodulation,[],[f4081,f482])).
% 3.71/0.96 thf(f4215,plain,(
% 3.71/0.96 ($true = ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (c_2Epred__set_2EBIJ_2E3 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum)) @ (sK25 @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Enum_2Enum_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))) @ tyop_2Enum_2Enum @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ (i_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (j_mono_2Etyop_2Emin_2Efun_28tyop_2Epair_2Eprod_28tyop_2Enum_2Enum_2Ctyop_2Enum_2Enum_29_2Ctyop_2Emin_2Ebool_29 @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0))))))) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ (tyop_2Epair_2Eprod @ tyop_2Enum_2Enum @ tyop_2Enum_2Enum) @ tyop_2Emin_2Ebool) @ (c_2Epred__set_2ECROSS_2E2 @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0) @ (s @ (tyop_2Emin_2Efun @ tyop_2Enum_2Enum @ tyop_2Emin_2Ebool) @ c_2Epred__set_2EUNIV_2E0)))))))) | (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))) != $true) | ~spl29_29),
% 3.71/0.96 inference(forward_demodulation,[],[f4153,f590])).
% 3.71/0.96 thf(f4216,plain,(
% 3.71/0.96 ($true = ((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $false))))) | (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))) != $true) | (~spl29_24 | ~spl29_29)),
% 3.71/0.96 inference(forward_demodulation,[],[f4215,f2434])).
% 3.71/0.96 thf(f4217,plain,(
% 3.71/0.96 (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))) != $true) | ($true = $false) | (~spl29_24 | ~spl29_28 | ~spl29_29)),
% 3.71/0.96 inference(forward_demodulation,[],[f4216,f2192])).
% 3.71/0.96 thf(f4218,plain,(
% 3.71/0.96 (((j_mono_2Etyop_2Emin_2Ebool @ (s @ tyop_2Emin_2Ebool @ (i_mono_2Etyop_2Emin_2Ebool @ $true)))) != $true) | (~spl29_24 | ~spl29_28 | ~spl29_29)),
% 3.71/0.96 inference(trivial_inequality_removal,[],[f4217])).
% 3.71/0.96 thf(f4219,plain,(
% 3.71/0.96 ~spl29_21 | ~spl29_24 | ~spl29_28 | ~spl29_29),
% 3.71/0.96 inference(avatar_split_clause,[],[f4218,f2216,f2190,f2064,f2005])).
% 3.71/0.96 thf(f4275,plain,(
% 3.71/0.96 ($true = $false) | spl29_21),
% 3.71/0.96 inference(unit_resulting_resolution,[],[f1462,f2007])).
% 3.71/0.96 thf(f4290,plain,(
% 3.71/0.96 $false | spl29_21),
% 3.71/0.96 inference(trivial_inequality_removal,[],[f4275])).
% 3.71/0.96 thf(f4291,plain,(
% 3.71/0.96 spl29_21),
% 3.71/0.96 inference(avatar_contradiction_clause,[],[f4290])).
% 3.71/0.96 cnf(s5, plain, spl29_5, inference(sat_conversion,[],[f1750])).
% 3.71/0.96 cnf(s30, plain, spl29_15, inference(sat_conversion,[],[f1806])).
% 3.71/0.96 cnf(s33, plain, ~spl29_5 | spl29_17, inference(sat_conversion,[],[f1828])).
% 3.71/0.96 cnf(s34, plain, ~spl29_15 | ~spl29_17 | spl29_18, inference(sat_conversion,[],[f1913])).
% 3.71/0.96 cnf(s40, plain, ~spl29_17 | spl29_24, inference(sat_conversion,[],[f2071])).
% 3.71/0.96 cnf(s44, plain, ~spl29_17 | ~spl29_24 | spl29_28, inference(sat_conversion,[],[f2193])).
% 3.71/0.96 cnf(s45, plain, ~spl29_18 | spl29_29, inference(sat_conversion,[],[f2219])).
% 3.71/0.96 cnf(s78, plain, ~spl29_21 | ~spl29_24 | ~spl29_28 | ~spl29_29, inference(sat_conversion,[],[f4219])).
% 3.71/0.96 cnf(s85, plain, spl29_21, inference(sat_conversion,[],[f4291])).
% 3.71/0.96 cnf(s94, plain, ~spl29_24 | ~spl29_28 | ~spl29_29, inference(rat,[],[s78,s85])).
% 3.71/0.96 cnf(s126, plain, spl29_17, inference(rat,[],[s33,s5])).
% 3.71/0.96 cnf(s127, plain, spl29_24, inference(rat,[],[s40,s126])).
% 3.71/0.96 cnf(s128, plain, spl29_18, inference(rat,[],[s34,s30,s126])).
% 3.71/0.96 cnf(s129, plain, spl29_28, inference(rat,[],[s44,s126,s127])).
% 3.71/0.96 cnf(s131, plain, spl29_29, inference(rat,[],[s45,s128])).
% 3.71/0.96 cnf(s132, plain, $false, inference(rat,[],[s94,s127,s131,s129])).
% 3.71/0.96 thf(f4308,plain,(
% 3.71/0.96 $false),
% 3.71/0.96 inference(avatar_sat_refutation,[],[s132])).
% 3.71/0.96 % SZS output end Proof for theBenchmark
% 3.71/0.96 % (2958352)------------------------------
% 3.71/0.96 % (2958352)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.71/0.96 % (2958352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.71/0.96 % (2958352)CaDiCaL version: 2.1.3
% 3.71/0.96 % (2958352)Termination reason: Refutation
% 3.71/0.96 % (2958352)Time elapsed: 0.389 s
% 3.71/0.96 % (2958352)Peak memory usage: 17 MB
% 3.71/0.96 % (2958352)Instructions burned: 816 (million)
% 3.71/0.96 % (2958149)Success in time 0.683 s
% 3.71/0.96 % Vampire exiting
%------------------------------------------------------------------------------