%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV498^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:38:45 AM UTC 2026
% Result : Theorem 1.52s 0.46s
% Output : Refutation 1.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV498^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n026.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 15:56:42 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/0.39 % (776763)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.84/0.39 % (776771)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=2579527545: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)
% 0.84/0.39 % (776774)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.84/0.39 % (776774)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
% 0.84/0.39 % (776768)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=870389078:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.84/0.39 % (776769)lrs+10_16_si=on:nwc=1.5:random_seed=998151047:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.84/0.39 % (776770)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=53911306:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.84/0.39 % (776772)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3044193737:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.84/0.39 % (776773)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1318636598:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.84/0.39 % (776774)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=2453069513:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.84/0.39 % (776770)Instruction limit reached!
% 0.84/0.39 % (776770)------------------------------
% 0.84/0.39 % (776770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (776770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (776770)CaDiCaL version: 2.1.3
% 0.84/0.39 % (776770)Termination reason: Instruction limit
% 0.84/0.39 % (776770)Termination phase: Saturation
% 0.84/0.39 % (776770)Time elapsed: 0.002 s
% 0.84/0.39 % (776770)Peak memory usage: 11 MB
% 0.84/0.39 % (776770)Instructions burned: 3 (million)
% 0.84/0.39 % (776769)Instruction limit reached!
% 0.84/0.39 % (776769)------------------------------
% 0.84/0.39 % (776769)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (776769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (776769)CaDiCaL version: 2.1.3
% 0.84/0.39 % (776769)Termination reason: Instruction limit
% 0.84/0.39 % (776769)Termination phase: Saturation
% 0.84/0.39 % (776769)Time elapsed: 0.012 s
% 0.84/0.39 % (776769)Peak memory usage: 12 MB
% 0.84/0.39 % (776769)Instructions burned: 19 (million)
% 0.84/0.39 % (776772)Instruction limit reached!
% 0.84/0.39 % (776772)------------------------------
% 0.84/0.39 % (776772)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (776772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (776772)CaDiCaL version: 2.1.3
% 0.84/0.39 % (776772)Termination reason: Instruction limit
% 0.84/0.39 % (776772)Termination phase: Saturation
% 0.84/0.39 % (776772)Time elapsed: 0.015 s
% 0.84/0.39 % (776772)Peak memory usage: 12 MB
% 0.84/0.39 % (776772)Instructions burned: 24 (million)
% 0.84/0.39 % (776782)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1978779144:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.84/0.39 % (776784)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.84/0.39 % (776783)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1856433302:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.84/0.39 % (776782)Instruction limit reached!
% 0.84/0.39 % (776782)------------------------------
% 0.84/0.39 % (776782)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.39 % (776782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.39 % (776782)CaDiCaL version: 2.1.3
% 0.84/0.39 % (776782)Termination reason: Instruction limit
% 0.84/0.39 % (776782)Termination phase: Saturation
% 0.84/0.43 % (776782)Time elapsed: 0.002 s
% 0.84/0.43 % (776782)Peak memory usage: 11 MB
% 0.84/0.43 % (776782)Instructions burned: 3 (million)
% 0.84/0.43 % (776784)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4243790306:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.84/0.43 % (776783)Instruction limit reached!
% 0.84/0.43 % (776783)------------------------------
% 0.84/0.43 % (776783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.43 % (776783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.43 % (776783)CaDiCaL version: 2.1.3
% 0.84/0.43 % (776783)Termination reason: Instruction limit
% 0.84/0.43 % (776783)Termination phase: Saturation
% 0.84/0.43 % (776783)Time elapsed: 0.003 s
% 0.84/0.43 % (776783)Peak memory usage: 12 MB
% 0.84/0.43 % (776783)Instructions burned: 5 (million)
% 0.84/0.43 % (776784)Instruction limit reached!
% 0.84/0.43 % (776784)------------------------------
% 0.84/0.43 % (776784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.43 % (776784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.43 % (776784)CaDiCaL version: 2.1.3
% 0.84/0.43 % (776784)Termination reason: Instruction limit
% 0.84/0.43 % (776784)Termination phase: Saturation
% 0.84/0.43 % (776784)Time elapsed: 0.005 s
% 0.84/0.43 % (776784)Peak memory usage: 12 MB
% 0.84/0.43 % (776784)Instructions burned: 8 (million)
% 0.84/0.43 % (776768)Instruction limit reached!
% 0.84/0.43 % (776768)------------------------------
% 0.84/0.43 % (776768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.43 % (776768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.43 % (776768)CaDiCaL version: 2.1.3
% 0.84/0.43 % (776768)Termination reason: Instruction limit
% 0.84/0.43 % (776768)Termination phase: Saturation
% 0.84/0.43 % (776768)Time elapsed: 0.051 s
% 0.84/0.43 % (776768)Peak memory usage: 13 MB
% 0.84/0.43 % (776768)Instructions burned: 87 (million)
% 0.84/0.43 % (776789)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
% 0.84/0.43 % (776789)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.84/0.43 % (776787)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3992058472:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.84/0.43 % (776789)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2968313845:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.84/0.43 % (776773)Instruction limit reached!
% 0.84/0.43 % (776773)------------------------------
% 0.84/0.43 % (776773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.43 % (776773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.43 % (776773)CaDiCaL version: 2.1.3
% 0.84/0.43 % (776773)Termination reason: Instruction limit
% 0.84/0.43 % (776773)Termination phase: Saturation
% 0.84/0.43 % (776773)Time elapsed: 0.055 s
% 0.84/0.43 % (776773)Peak memory usage: 13 MB
% 0.84/0.43 % (776773)Instructions burned: 81 (million)
% 0.84/0.43 % (776790)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=1633716810:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.84/0.43 % (776787)Instruction limit reached!
% 0.84/0.43 % (776787)------------------------------
% 0.84/0.43 % (776787)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.84/0.43 % (776787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.84/0.43 % (776787)CaDiCaL version: 2.1.3
% 0.84/0.43 % (776787)Termination reason: Instruction limit
% 0.84/0.43 % (776787)Termination phase: Saturation
% 0.84/0.43 % (776787)Time elapsed: 0.009 s
% 0.84/0.43 % (776787)Peak memory usage: 12 MB
% 0.84/0.43 % (776787)Instructions burned: 12 (million)
% 0.84/0.43 % (776791)lrs+10_1_si=on:cs=on:random_seed=265646049:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.84/0.43 % (776789)Instruction limit reached!
% 0.84/0.43 % (776789)------------------------------
% 0.84/0.43 % (776789)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776789)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776789)Termination reason: Instruction limit
% 1.52/0.46 % (776789)Termination phase: Saturation
% 1.52/0.46 % (776789)Time elapsed: 0.016 s
% 1.52/0.46 % (776789)Peak memory usage: 12 MB
% 1.52/0.46 % (776789)Instructions burned: 29 (million)
% 1.52/0.46 % (776794)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.52/0.46 % (776791)Instruction limit reached!
% 1.52/0.46 % (776791)------------------------------
% 1.52/0.46 % (776791)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776791)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776791)Termination reason: Instruction limit
% 1.52/0.46 % (776791)Termination phase: Saturation
% 1.52/0.46 % (776791)Time elapsed: 0.005 s
% 1.52/0.46 % (776791)Peak memory usage: 11 MB
% 1.52/0.46 % (776791)Instructions burned: 9 (million)
% 1.52/0.46 % (776794)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=3946468585:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.52/0.46 % (776794)Instruction limit reached!
% 1.52/0.46 % (776794)------------------------------
% 1.52/0.46 % (776794)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776794)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776794)Termination reason: Instruction limit
% 1.52/0.46 % (776794)Termination phase: Preprocessing 1
% 1.52/0.46 % (776794)Time elapsed: 0.001 s
% 1.52/0.46 % (776794)Peak memory usage: 10 MB
% 1.52/0.46 % (776794)Instructions burned: 2 (million)
% 1.52/0.46 % (776796)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3108358057:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.52/0.46 % (776796)Refutation not found, incomplete strategy
% 1.52/0.46 % (776796)------------------------------
% 1.52/0.46 % (776796)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776796)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776796)Termination reason: Refutation not found, incomplete strategy
% 1.52/0.46 % (776796)Time elapsed: 0.002 s
% 1.52/0.46 % (776796)Peak memory usage: 12 MB
% 1.52/0.46 % (776796)Instructions burned: 3 (million)
% 1.52/0.46 % (776796)------------------------------
% 1.52/0.46 % (776796)------------------------------
% 1.52/0.46 % (776798)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2864986481:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.52/0.46 % (776799)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1942402777:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.52/0.46 % (776801)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2286605195:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.52/0.46 % (776803)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3228871247:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.52/0.46 % (776801)Instruction limit reached!
% 1.52/0.46 % (776801)------------------------------
% 1.52/0.46 % (776801)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776801)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776801)Termination reason: Instruction limit
% 1.52/0.46 % (776801)Termination phase: Saturation
% 1.52/0.46 % (776801)Time elapsed: 0.009 s
% 1.52/0.46 % (776801)Peak memory usage: 12 MB
% 1.52/0.46 % (776801)Instructions burned: 14 (million)
% 1.52/0.46 % (776790)Instruction limit reached!
% 1.52/0.46 % (776790)------------------------------
% 1.52/0.46 % (776790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776790)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776790)Termination reason: Instruction limit
% 1.52/0.46 % (776790)Termination phase: Saturation
% 1.52/0.46 % (776790)Time elapsed: 0.048 s
% 1.52/0.46 % (776790)Peak memory usage: 12 MB
% 1.52/0.46 % (776790)Instructions burned: 86 (million)
% 1.52/0.46 % (776774)Instruction limit reached!
% 1.52/0.46 % (776774)------------------------------
% 1.52/0.46 % (776774)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776774)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776774)Termination reason: Instruction limit
% 1.52/0.46 % (776774)Termination phase: Saturation
% 1.52/0.46 % (776774)Time elapsed: 0.109 s
% 1.52/0.46 % (776774)Peak memory usage: 12 MB
% 1.52/0.46 % (776774)Instructions burned: 157 (million)
% 1.52/0.46 % (776799)Instruction limit reached!
% 1.52/0.46 % (776799)------------------------------
% 1.52/0.46 % (776799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776799)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776799)Termination reason: Instruction limit
% 1.52/0.46 % (776799)Termination phase: Saturation
% 1.52/0.46 % (776799)Time elapsed: 0.016 s
% 1.52/0.46 % (776799)Peak memory usage: 12 MB
% 1.52/0.46 % (776799)Instructions burned: 26 (million)
% 1.52/0.46 % (776808)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2167337580:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.52/0.46 % (776809)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3138381629: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)
% 1.52/0.46 % (776810)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=2834409294:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.52/0.46 % (776811)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2877437719:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.52/0.46 % (776809)Instruction limit reached!
% 1.52/0.46 % (776809)------------------------------
% 1.52/0.46 % (776809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776809)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776809)Termination reason: Instruction limit
% 1.52/0.46 % (776809)Termination phase: Saturation
% 1.52/0.46 % (776809)Time elapsed: 0.002 s
% 1.52/0.46 % (776809)Peak memory usage: 11 MB
% 1.52/0.46 % (776809)Instructions burned: 3 (million)
% 1.52/0.46 % (776808)Instruction limit reached!
% 1.52/0.46 % (776808)------------------------------
% 1.52/0.46 % (776808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776808)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776808)Termination reason: Instruction limit
% 1.52/0.46 % (776808)Termination phase: Saturation
% 1.52/0.46 % (776808)Time elapsed: 0.009 s
% 1.52/0.46 % (776808)Peak memory usage: 12 MB
% 1.52/0.46 % (776808)Instructions burned: 15 (million)
% 1.52/0.46 % (776811)Instruction limit reached!
% 1.52/0.46 % (776811)------------------------------
% 1.52/0.46 % (776811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776811)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776811)Termination reason: Instruction limit
% 1.52/0.46 % (776811)Termination phase: Saturation
% 1.52/0.46 % (776811)Time elapsed: 0.014 s
% 1.52/0.46 % (776811)Peak memory usage: 12 MB
% 1.52/0.46 % (776811)Instructions burned: 24 (million)
% 1.52/0.46 % (776810)Instruction limit reached!
% 1.52/0.46 % (776810)------------------------------
% 1.52/0.46 % (776810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776810)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776810)Termination reason: Instruction limit
% 1.52/0.46 % (776810)Termination phase: Saturation
% 1.52/0.46 % (776810)Time elapsed: 0.017 s
% 1.52/0.46 % (776810)Peak memory usage: 12 MB
% 1.52/0.46 % (776810)Instructions burned: 27 (million)
% 1.52/0.46 % (776816)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=3028529180:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.52/0.46 % (776818)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.52/0.46 % (776817)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
% 1.52/0.46 % (776817)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.52/0.46 % (776818)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=580430823:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.52/0.46 % (776819)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=3206285816:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.52/0.46 % (776817)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=3921849621:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.52/0.46 % (776818)Instruction limit reached!
% 1.52/0.46 % (776818)------------------------------
% 1.52/0.46 % (776818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776818)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776818)Termination reason: Instruction limit
% 1.52/0.46 % (776818)Termination phase: Saturation
% 1.52/0.46 % (776818)Time elapsed: 0.006 s
% 1.52/0.46 % (776818)Peak memory usage: 12 MB
% 1.52/0.46 % (776818)Instructions burned: 8 (million)
% 1.52/0.46 % (776816) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-776763-776816"...
% 1.52/0.46 % (776771)Instruction limit reached!
% 1.52/0.46 % (776771)------------------------------
% 1.52/0.46 % (776771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.46 % (776771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.46 % (776771)CaDiCaL version: 2.1.3
% 1.52/0.46 % (776771)Termination reason: Instruction limit
% 1.52/0.46 % (776771)Termination phase: Saturation
% 1.52/0.46 % (776771)Time elapsed: 0.186 s
% 1.52/0.46 % (776771)Peak memory usage: 15 MB
% 1.52/0.46 % (776771)Instructions burned: 637 (million)
% 1.52/0.46 % (776816)...printing done.
% 1.52/0.46 % (776816)Refutation found. Thanks to Tanya!
% 1.52/0.46 % SZS status Theorem for theBenchmark
% 1.52/0.46 % SZS output start Proof for theBenchmark
% 1.52/0.46 thf(type_def_5, type, sTfun: ($tType * $tType) > $tType).
% 1.52/0.46 thf(type_def_6, type, sK1: $tType).
% 1.52/0.46 thf(type_def_7, type, sK2: $tType).
% 1.52/0.46 thf(func_def_0, type, 'const/trivia/I': !>[X0: $tType]:((X0 > X0))).
% 1.52/0.46 thf(func_def_1, type, 'const/sets/INSERT': !>[X0: $tType]:((X0 > (X0 > $o) > X0 > $o))).
% 1.52/0.46 thf(func_def_2, type, 'const/sets/IN': !>[X0: $tType]:((X0 > (X0 > $o) > $o))).
% 1.52/0.46 thf(func_def_3, type, 'const/sets/FINITE': !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.52/0.46 thf(func_def_4, type, 'const/sets/EMPTY': !>[X0: $tType]:((X0 > $o))).
% 1.52/0.46 thf(func_def_5, type, 'const/iterate/support': !>[X0: $tType, X1: $tType]:(((X0 > X0 > X0) > (X1 > X0) > (X1 > $o) > X1 > $o))).
% 1.52/0.46 thf(func_def_6, type, 'const/iterate/neutral': !>[X0: $tType]:(((X0 > X0 > X0) > X0))).
% 1.52/0.46 thf(func_def_7, type, 'const/iterate/monoidal': !>[X0: $tType]:(((X0 > X0 > X0) > $o))).
% 1.52/0.46 thf(func_def_8, type, 'const/iterate/iterate': !>[X0: $tType, X1: $tType]:(((X1 > X1 > X1) > (X0 > $o) > (X0 > X1) > X1))).
% 1.52/0.46 thf(func_def_9, type, 'const/class/COND': !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 1.52/0.46 thf(func_def_13, type, sK0: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.52/0.46 thf(func_def_14, type, sK3: (sK1 > sK1 > sK1)).
% 1.52/0.46 thf(func_def_15, type, sK4: (sK2 > sK1)).
% 1.52/0.46 thf(func_def_16, type, sK5: (sK2 > $o)).
% 1.52/0.46 thf(func_def_17, type, sF6: $o).
% 1.52/0.46 thf(func_def_18, type, sF7: sK1).
% 1.52/0.46 thf(func_def_19, type, sF8: sK1).
% 1.52/0.46 thf(func_def_20, type, vNOT: ($o > $o)).
% 1.52/0.46 thf(func_def_22, type, sK10: sK2).
% 1.52/0.46 thf(func_def_23, type, db0: !>[X0: $tType]:(X0)).
% 1.52/0.46 thf(func_def_24, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.52/0.46 thf(f2,axiom,(
% 1.52/0.46 ! [X0 : $tType,X1 : $tType,X3 : (X0 > X1),X4 : X0,X2 : (X1 > X1 > X1),X5 : (X0 > $o)] : (('const/sets/IN' @ X0 @ X4 @ X5) & (((X3 @ X4)) != (('const/iterate/neutral' @ X1 @ X2))) = (('const/sets/IN' @ X0 @ X4 @ ('const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X5))))),
% 1.52/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/IN_SUPPORT_')).
% 1.52/0.47 thf(f3,axiom,(
% 1.52/0.47 ! [X0 : $tType,X1 : X0] : ~('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0)),
% 1.52/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/NOT_IN_EMPTY_')).
% 1.52/0.47 thf(f4,axiom,(
% 1.52/0.47 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : ((X1 = X2) = ! [X3 : X0] : ((('const/sets/IN' @ X0 @ X3 @ X1)) = (('const/sets/IN' @ X0 @ X3 @ X2))))),
% 1.52/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/sets/EXTENSION_')).
% 1.52/0.47 thf(f5,axiom,(
% 1.52/0.47 ! [X1 : $tType,X0 : $tType,X4 : (X0 > $o),X3 : (X0 > X1),X2 : (X1 > X1 > X1)] : ((('const/iterate/iterate' @ X0 @ X1 @ X2 @ ('const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4) @ X3)) = (('const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3)))),
% 1.52/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/ITERATE_SUPPORT_')).
% 1.52/0.47 thf(f8,axiom,(
% 1.52/0.47 ! [X2 : $tType,X1 : $tType,X0 : $tType,X3 : (X2 > X2 > X2)] : (('const/iterate/monoidal' @ X2 @ X3) => (! [X4 : (X0 > X2)] : ((('const/iterate/iterate' @ X0 @ X2 @ X3 @ 'const/sets/EMPTY' @ X0 @ X4)) = (('const/iterate/neutral' @ X2 @ X3))) & ! [X4 : (X1 > X2),X6 : (X1 > $o),X5 : X1] : (('const/sets/FINITE' @ X1 @ X6) => ((('const/iterate/iterate' @ X1 @ X2 @ X3 @ ('const/sets/INSERT' @ X1 @ X5 @ X6) @ X4)) = (('const/class/COND' @ X2 @ ('const/sets/IN' @ X1 @ X5 @ X6) @ ('const/iterate/iterate' @ X1 @ X2 @ X3 @ X6 @ X4) @ (X3 @ (X4 @ X5) @ ('const/iterate/iterate' @ X1 @ X2 @ X3 @ X6 @ X4))))))))),
% 1.52/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/ITERATE_CLAUSES_')).
% 1.52/0.47 thf(f9,conjecture,(
% 1.52/0.47 ! [X1 : $tType,X0 : $tType,X2 : (X1 > X1 > X1)] : (('const/iterate/monoidal' @ X1 @ X2) => ! [X3 : (X0 > X1),X4 : (X0 > $o)] : (! [X5 : X0] : (('const/sets/IN' @ X0 @ X5 @ X4) => (((X3 @ X5)) = (('const/iterate/neutral' @ X1 @ X2)))) => ((('const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3)) = (('const/iterate/neutral' @ X1 @ X2)))))),
% 1.52/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/iterate/ITERATE_EQ_NEUTRAL_')).
% 1.52/0.47 thf(f10,negated_conjecture,(
% 1.52/0.47 ~ ! [X1 : $tType,X0 : $tType,X2 : (X1 > X1 > X1)] : (('const/iterate/monoidal' @ X1 @ X2) => ! [X3 : (X0 > X1),X4 : (X0 > $o)] : (! [X5 : X0] : (('const/sets/IN' @ X0 @ X5 @ X4) => (((X3 @ X5)) = (('const/iterate/neutral' @ X1 @ X2)))) => ((('const/iterate/iterate' @ X0 @ X1 @ X2 @ X4 @ X3)) = (('const/iterate/neutral' @ X1 @ X2)))))),
% 1.52/0.47 inference(negated_conjecture,[status(cth)],[f9])).
% 1.52/0.47 thf(f13,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : $tType,X2 : (X0 > X1),X3 : X0,X4 : (X1 > X1 > X1),X5 : (X0 > $o)] : (('const/sets/IN' @ X0 @ X3 @ X5) & ((('const/iterate/neutral' @ X1 @ X4)) != ((X2 @ X3))) = (('const/sets/IN' @ X0 @ X3 @ ('const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X5))))),
% 1.52/0.47 inference(rectify,[],[f2])).
% 1.52/0.47 thf(f14,plain,(
% 1.52/0.47 ! [X1 : $tType,X0 : $tType,X5 : (X0 > $o),X3 : X0,X4 : (X1 > X1 > X1),X2 : (X0 > X1)] : ((($true = (('const/sets/IN' @ X0 @ X3 @ X5))) & ((('const/iterate/neutral' @ X1 @ X4)) != ((X2 @ X3)))) <=> ($true = (('const/sets/IN' @ X0 @ X3 @ ('const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X5)))))),
% 1.52/0.47 inference(fool_elimination,[],[f13])).
% 1.52/0.47 thf(f15,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : X0] : ~('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0)),
% 1.52/0.47 inference(rectify,[],[f3])).
% 1.52/0.47 thf(f16,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : X0] : ~ ((('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0)) = $true)),
% 1.52/0.47 inference(fool_elimination,[],[f15])).
% 1.52/0.47 thf(f17,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X0 > X0 > X0)] : (('const/iterate/monoidal' @ X0 @ X3) => (! [X4 : (X2 > X0)] : ((('const/iterate/neutral' @ X0 @ X3)) = (('const/iterate/iterate' @ X2 @ X0 @ X3 @ 'const/sets/EMPTY' @ X2 @ X4))) & ! [X5 : (X1 > X0),X6 : (X1 > $o),X7 : X1] : (('const/sets/FINITE' @ X1 @ X6) => ((('const/iterate/iterate' @ X1 @ X0 @ X3 @ ('const/sets/INSERT' @ X1 @ X7 @ X6) @ X5)) = (('const/class/COND' @ X0 @ ('const/sets/IN' @ X1 @ X7 @ X6) @ ('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ X5) @ (X3 @ (X5 @ X7) @ ('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ X5))))))))),
% 1.52/0.47 inference(rectify,[],[f8])).
% 1.52/0.47 thf(f18,plain,(
% 1.52/0.47 ! [X0 : $tType,X2 : $tType,X1 : $tType,X3 : (X0 > X0 > X0)] : (($true = (('const/iterate/monoidal' @ X0 @ X3))) => (! [X5 : (X1 > X0),X7 : X1,X6 : (X1 > $o)] : (((('const/sets/FINITE' @ X1 @ X6)) = $true) => ((('const/iterate/iterate' @ X1 @ X0 @ X3 @ ('const/sets/INSERT' @ X1 @ X7 @ X6) @ X5)) = (('const/class/COND' @ X0 @ ('const/sets/IN' @ X1 @ X7 @ X6) @ ('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ X5) @ (X3 @ (X5 @ X7) @ ('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ X5)))))) & ! [X4 : (X2 > X0)] : ((('const/iterate/neutral' @ X0 @ X3)) = (('const/iterate/iterate' @ X2 @ X0 @ X3 @ 'const/sets/EMPTY' @ X2 @ X4)))))),
% 1.52/0.47 inference(fool_elimination,[],[f17])).
% 1.52/0.47 thf(f19,plain,(
% 1.52/0.47 ~ ! [X0 : $tType,X1 : $tType,X2 : (X0 > X0 > X0)] : (('const/iterate/monoidal' @ X0 @ X2) => ! [X3 : (X1 > X0),X4 : (X1 > $o)] : (! [X5 : X1] : (('const/sets/IN' @ X1 @ X5 @ X4) => (((X3 @ X5)) = (('const/iterate/neutral' @ X0 @ X2)))) => ((('const/iterate/iterate' @ X1 @ X0 @ X2 @ X4 @ X3)) = (('const/iterate/neutral' @ X0 @ X2)))))),
% 1.52/0.47 inference(rectify,[],[f10])).
% 1.52/0.47 thf(f20,plain,(
% 1.52/0.47 ~ ! [X0 : $tType,X1 : $tType,X2 : (X0 > X0 > X0)] : (($true = (('const/iterate/monoidal' @ X0 @ X2))) => ! [X4 : (X1 > $o),X3 : (X1 > X0)] : (! [X5 : X1] : (($true = (('const/sets/IN' @ X1 @ X5 @ X4))) => (((X3 @ X5)) = (('const/iterate/neutral' @ X0 @ X2)))) => ((('const/iterate/iterate' @ X1 @ X0 @ X2 @ X4 @ X3)) = (('const/iterate/neutral' @ X0 @ X2)))))),
% 1.52/0.47 inference(fool_elimination,[],[f19])).
% 1.52/0.47 thf(f21,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : (! [X3 : X0] : ((('const/sets/IN' @ X0 @ X3 @ X1)) = (('const/sets/IN' @ X0 @ X3 @ X2))) <=> (X1 = X2))),
% 1.52/0.47 inference(fool_elimination,[],[f4])).
% 1.52/0.47 thf(f24,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : $tType,X2 : (X1 > $o),X4 : (X0 > X0 > X0),X3 : (X1 > X0)] : ((('const/iterate/iterate' @ X1 @ X0 @ X4 @ X2 @ X3)) = (('const/iterate/iterate' @ X1 @ X0 @ X4 @ ('const/iterate/support' @ X0 @ X1 @ X4 @ X3 @ X2) @ X3)))),
% 1.52/0.47 inference(rectify,[],[f5])).
% 1.52/0.47 thf(f26,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : X0] : ((('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0)) != $true)),
% 1.52/0.47 inference(flattening,[],[f16])).
% 1.52/0.47 thf(f28,plain,(
% 1.52/0.47 ? [X0 : $tType,X1 : $tType,X2 : (X0 > X0 > X0)] : (($true = (('const/iterate/monoidal' @ X0 @ X2))) & ? [X3 : (X1 > X0),X4 : (X1 > $o)] : (((('const/iterate/iterate' @ X1 @ X0 @ X2 @ X4 @ X3)) != (('const/iterate/neutral' @ X0 @ X2))) & ! [X5 : X1] : (($true != (('const/sets/IN' @ X1 @ X5 @ X4))) | (((X3 @ X5)) = (('const/iterate/neutral' @ X0 @ X2))))))),
% 1.52/0.47 inference(ennf_transformation,[],[f20])).
% 1.52/0.47 thf(f29,plain,(
% 1.52/0.47 ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X0 > X0 > X0)] : (($true != (('const/iterate/monoidal' @ X0 @ X3))) | (! [X4 : (X2 > X0)] : ((('const/iterate/neutral' @ X0 @ X3)) = (('const/iterate/iterate' @ X2 @ X0 @ X3 @ 'const/sets/EMPTY' @ X2 @ X4))) & ! [X6 : (X1 > $o),X5 : (X1 > X0),X7 : X1] : (((('const/sets/FINITE' @ X1 @ X6)) != $true) | ((('const/iterate/iterate' @ X1 @ X0 @ X3 @ ('const/sets/INSERT' @ X1 @ X7 @ X6) @ X5)) = (('const/class/COND' @ X0 @ ('const/sets/IN' @ X1 @ X7 @ X6) @ ('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ X5) @ (X3 @ (X5 @ X7) @ ('const/iterate/iterate' @ X1 @ X0 @ X3 @ X6 @ X5))))))))),
% 1.52/0.47 inference(ennf_transformation,[],[f18])).
% 1.52/0.47 thf(f30,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : ((! [X3 : X0] : ((('const/sets/IN' @ X0 @ X3 @ X1)) = (('const/sets/IN' @ X0 @ X3 @ X2))) | (X1 != X2)) & ((X1 = X2) | ? [X3 : X0] : ((('const/sets/IN' @ X0 @ X3 @ X1)) != (('const/sets/IN' @ X0 @ X3 @ X2)))))),
% 1.52/0.47 inference(nnf_transformation,[],[f21])).
% 1.52/0.47 thf(f31,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : ((! [X3 : X0] : ((('const/sets/IN' @ X0 @ X3 @ X1)) = (('const/sets/IN' @ X0 @ X3 @ X2))) | (X1 != X2)) & ((X1 = X2) | ? [X4 : X0] : ((('const/sets/IN' @ X0 @ X4 @ X1)) != (('const/sets/IN' @ X0 @ X4 @ X2)))))),
% 1.52/0.47 inference(rectify,[],[f30])).
% 1.52/0.47 thf(f32,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : (X0 > $o),X2 : (X0 > $o)] : ((! [X3 : X0] : ((('const/sets/IN' @ X0 @ X3 @ X1)) = (('const/sets/IN' @ X0 @ X3 @ X2))) | (X1 != X2)) & ((X1 = X2) | ((('const/sets/IN' @ X0 @ (sK0 @ X0 @ X2 @ X1) @ X2)) != (('const/sets/IN' @ X0 @ (sK0 @ X0 @ X2 @ X1) @ X1)))))),
% 1.52/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X4,sK0 @ X0 @ X2 @ X1)],[f31])).
% 1.52/0.47 thf(f33,plain,(
% 1.52/0.47 ($true = (('const/iterate/monoidal' @ sK1 @ sK3))) & (((('const/iterate/iterate' @ sK2 @ sK1 @ sK3 @ sK5 @ sK4)) != (('const/iterate/neutral' @ sK1 @ sK3))) & ! [X5 : sK2] : (($true != (('const/sets/IN' @ sK2 @ X5 @ sK5))) | (((sK4 @ X5)) = (('const/iterate/neutral' @ sK1 @ sK3)))))),
% 1.52/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK1),skolemize(X1,sK2),skolemize(X2,sK3),skolemize(X3,sK4),skolemize(X4,sK5)],[f28])).
% 1.52/0.47 thf(f34,plain,(
% 1.52/0.47 ! [X1 : $tType,X0 : $tType,X5 : (X0 > $o),X3 : X0,X4 : (X1 > X1 > X1),X2 : (X0 > X1)] : (((($true = (('const/sets/IN' @ X0 @ X3 @ X5))) & ((('const/iterate/neutral' @ X1 @ X4)) != ((X2 @ X3)))) | ($true != (('const/sets/IN' @ X0 @ X3 @ ('const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X5))))) & (($true = (('const/sets/IN' @ X0 @ X3 @ ('const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X5)))) | (($true != (('const/sets/IN' @ X0 @ X3 @ X5))) | ((('const/iterate/neutral' @ X1 @ X4)) = ((X2 @ X3))))))),
% 1.52/0.47 inference(nnf_transformation,[],[f14])).
% 1.52/0.47 thf(f35,plain,(
% 1.52/0.47 ! [X1 : $tType,X0 : $tType,X5 : (X0 > $o),X3 : X0,X4 : (X1 > X1 > X1),X2 : (X0 > X1)] : (((($true = (('const/sets/IN' @ X0 @ X3 @ X5))) & ((('const/iterate/neutral' @ X1 @ X4)) != ((X2 @ X3)))) | ($true != (('const/sets/IN' @ X0 @ X3 @ ('const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X5))))) & (($true = (('const/sets/IN' @ X0 @ X3 @ ('const/iterate/support' @ X1 @ X0 @ X4 @ X2 @ X5)))) | ($true != (('const/sets/IN' @ X0 @ X3 @ X5))) | ((('const/iterate/neutral' @ X1 @ X4)) = ((X2 @ X3)))))),
% 1.52/0.47 inference(flattening,[],[f34])).
% 1.52/0.47 thf(f36,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : $tType,X2 : (X1 > $o),X3 : X1,X4 : (X0 > X0 > X0),X5 : (X1 > X0)] : (((($true = (('const/sets/IN' @ X1 @ X3 @ X2))) & (((X5 @ X3)) != (('const/iterate/neutral' @ X0 @ X4)))) | ($true != (('const/sets/IN' @ X1 @ X3 @ ('const/iterate/support' @ X0 @ X1 @ X4 @ X5 @ X2))))) & (($true = (('const/sets/IN' @ X1 @ X3 @ ('const/iterate/support' @ X0 @ X1 @ X4 @ X5 @ X2)))) | ($true != (('const/sets/IN' @ X1 @ X3 @ X2))) | (((X5 @ X3)) = (('const/iterate/neutral' @ X0 @ X4)))))),
% 1.52/0.47 inference(rectify,[],[f35])).
% 1.52/0.47 thf(f37,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : $tType,X2 : (X1 > $o),X3 : (X0 > X0 > X0),X4 : (X1 > X0)] : ((('const/iterate/iterate' @ X1 @ X0 @ X3 @ ('const/iterate/support' @ X0 @ X1 @ X3 @ X4 @ X2) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X2 @ X4)))),
% 1.52/0.47 inference(rectify,[],[f24])).
% 1.52/0.47 thf(f38,plain,(
% 1.52/0.47 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X1 > X1 > X1)] : (($true != (('const/iterate/monoidal' @ X1 @ X3))) | (! [X4 : (X2 > X1)] : ((('const/iterate/iterate' @ X2 @ X1 @ X3 @ 'const/sets/EMPTY' @ X2 @ X4)) = (('const/iterate/neutral' @ X1 @ X3))) & ! [X5 : (X0 > $o),X6 : (X0 > X1),X7 : X0] : (($true != (('const/sets/FINITE' @ X0 @ X5))) | ((('const/iterate/iterate' @ X0 @ X1 @ X3 @ ('const/sets/INSERT' @ X0 @ X7 @ X5) @ X6)) = (('const/class/COND' @ X1 @ ('const/sets/IN' @ X0 @ X7 @ X5) @ ('const/iterate/iterate' @ X0 @ X1 @ X3 @ X5 @ X6) @ (X3 @ (X6 @ X7) @ ('const/iterate/iterate' @ X0 @ X1 @ X3 @ X5 @ X6))))))))),
% 1.52/0.47 inference(rectify,[],[f29])).
% 1.52/0.47 thf(f40,plain,(
% 1.52/0.47 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (((('const/sets/IN' @ X0 @ (sK0 @ X0 @ X2 @ X1) @ X2)) != (('const/sets/IN' @ X0 @ (sK0 @ X0 @ X2 @ X1) @ X1))) | (X1 = X2)) )),
% 1.52/0.47 inference(cnf_transformation,[],[f32])).
% 1.52/0.47 thf(f42,plain,(
% 1.52/0.47 ( ! [X5 : sK2] : (($true != (('const/sets/IN' @ sK2 @ X5 @ sK5))) | (((sK4 @ X5)) = (('const/iterate/neutral' @ sK1 @ sK3)))) )),
% 1.52/0.47 inference(cnf_transformation,[],[f33])).
% 1.52/0.47 thf(f43,plain,(
% 1.52/0.47 ((('const/iterate/iterate' @ sK2 @ sK1 @ sK3 @ sK5 @ sK4)) != (('const/iterate/neutral' @ sK1 @ sK3)))),
% 1.52/0.47 inference(cnf_transformation,[],[f33])).
% 1.52/0.47 thf(f44,plain,(
% 1.52/0.47 ($true = (('const/iterate/monoidal' @ sK1 @ sK3)))),
% 1.52/0.47 inference(cnf_transformation,[],[f33])).
% 1.52/0.47 thf(f46,plain,(
% 1.52/0.47 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : X1,X4 : (X0 > X0 > X0),X5 : (X1 > X0)] : (($true != (('const/sets/IN' @ X1 @ X3 @ ('const/iterate/support' @ X0 @ X1 @ X4 @ X5 @ X2)))) | (((X5 @ X3)) != (('const/iterate/neutral' @ X0 @ X4)))) )),
% 1.52/0.47 inference(cnf_transformation,[],[f36])).
% 1.52/0.47 thf(f47,plain,(
% 1.52/0.47 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : X1,X4 : (X0 > X0 > X0),X5 : (X1 > X0)] : (($true != (('const/sets/IN' @ X1 @ X3 @ ('const/iterate/support' @ X0 @ X1 @ X4 @ X5 @ X2)))) | ($true = (('const/sets/IN' @ X1 @ X3 @ X2)))) )),
% 1.52/0.47 inference(cnf_transformation,[],[f36])).
% 1.52/0.47 thf(f48,plain,(
% 1.52/0.47 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > $o),X3 : (X0 > X0 > X0),X4 : (X1 > X0)] : (((('const/iterate/iterate' @ X1 @ X0 @ X3 @ ('const/iterate/support' @ X0 @ X1 @ X3 @ X4 @ X2) @ X4)) = (('const/iterate/iterate' @ X1 @ X0 @ X3 @ X2 @ X4)))) )),
% 1.52/0.47 inference(cnf_transformation,[],[f37])).
% 1.52/0.47 thf(f49,plain,(
% 1.52/0.47 ( ! [X0 : $tType,X1 : X0] : (((('const/sets/IN' @ X0 @ X1 @ 'const/sets/EMPTY' @ X0)) != $true)) )),
% 1.52/0.47 inference(cnf_transformation,[],[f26])).
% 1.52/0.47 thf(f53,plain,(
% 1.52/0.47 ( ! [X1 : $tType,X2 : $tType,X3 : (X1 > X1 > X1),X4 : (X2 > X1)] : (((('const/iterate/iterate' @ X2 @ X1 @ X3 @ 'const/sets/EMPTY' @ X2 @ X4)) = (('const/iterate/neutral' @ X1 @ X3))) | ($true != (('const/iterate/monoidal' @ X1 @ X3)))) )),
% 1.52/0.47 inference(cnf_transformation,[],[f38])).
% 1.52/0.47 thf(f57,definition,(
% 1.52/0.47 (sF6 = (('const/iterate/monoidal' @ sK1 @ sK3)))),
% 1.52/0.47 introduced(definition,[new_symbols(definition,[sF6])],[function_definition])).
% 1.52/0.47 thf(f58,plain,(
% 1.52/0.47 ($true = sF6)),
% 1.52/0.47 inference(definition_folding,[],[f44,f57])).
% 1.52/0.47 thf(f59,definition,(
% 1.52/0.47 (sF7 = (('const/iterate/iterate' @ sK2 @ sK1 @ sK3 @ sK5 @ sK4)))),
% 1.52/0.47 introduced(definition,[new_symbols(definition,[sF7])],[function_definition])).
% 1.52/0.47 thf(f60,definition,(
% 1.52/0.47 (sF8 = (('const/iterate/neutral' @ sK1 @ sK3)))),
% 1.52/0.47 introduced(definition,[new_symbols(definition,[sF8])],[function_definition])).
% 1.52/0.47 thf(f61,plain,(
% 1.52/0.47 (sF7 != sF8)),
% 1.52/0.47 inference(definition_folding,[],[f43,f60,f59])).
% 1.52/0.47 thf(f62,plain,(
% 1.52/0.47 ( ! [X5 : sK2] : (($true != (('const/sets/IN' @ sK2 @ X5 @ sK5))) | (sF8 = ((sK4 @ X5)))) )),
% 1.52/0.47 inference(definition_folding,[],[f42,f60])).
% 1.52/0.47 thf(f64,plain,(
% 1.52/0.47 ($true = (('const/iterate/monoidal' @ sK1 @ sK3))) | (sF6 = $false)),
% 1.52/0.47 inference(iff_proxy_clausification,[],[f57])).
% 1.52/0.47 thf(f65,plain,(
% 1.52/0.47 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : (X0 > $o)] : (($true = (('const/sets/IN' @ X0 @ (sK0 @ X0 @ X2 @ X1) @ X2))) | ($true = (('const/sets/IN' @ X0 @ (sK0 @ X0 @ X2 @ X1) @ X1))) | (X1 = X2)) )),
% 1.52/0.47 inference(xor_proxy_clausification,[],[f40])).
% 1.52/0.47 thf(f70,definition,(
% 1.52/0.47 spl9_1 <=> ($true = (('const/iterate/monoidal' @ sK1 @ sK3)))),
% 1.52/0.47 introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition])).
% 1.52/0.47 thf(f72,plain,(
% 1.52/0.47 ($true = (('const/iterate/monoidal' @ sK1 @ sK3))) | ~spl9_1),
% 1.52/0.47 inference(avatar_component_clause,[],[f70])).
% 1.52/0.47 thf(f74,definition,(
% 1.52/0.47 spl9_2 <=> (sF6 = $false)),
% 1.52/0.47 introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition])).
% 1.52/0.47 thf(f76,plain,(
% 1.52/0.47 (sF6 = $false) | ~spl9_2),
% 1.52/0.47 inference(avatar_component_clause,[],[f74])).
% 1.52/0.47 thf(f77,plain,(
% 1.52/0.47 spl9_1 | spl9_2),
% 1.52/0.47 inference(avatar_split_clause,[],[f64,f74,f70])).
% 1.52/0.47 thf(f79,definition,(
% 1.52/0.47 spl9_3 <=> ($true = sF6)),
% 1.52/0.47 introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition])).
% 1.52/0.47 thf(f81,plain,(
% 1.52/0.47 ($true = sF6) | ~spl9_3),
% 1.52/0.47 inference(avatar_component_clause,[],[f79])).
% 1.52/0.47 thf(f87,plain,(
% 1.52/0.47 spl9_3),
% 1.52/0.47 inference(avatar_split_clause,[],[f58,f79])).
% 1.52/0.47 thf(f89,plain,(
% 1.52/0.47 ($true = $false) | (~spl9_2 | ~spl9_3)),
% 1.52/0.47 inference(superposition,[],[f81,f76])).
% 1.52/0.47 thf(f93,plain,(
% 1.52/0.47 $false | (~spl9_2 | ~spl9_3)),
% 1.52/0.47 inference(trivial_inequality_removal,[],[f89])).
% 1.52/0.47 thf(f94,plain,(
% 1.52/0.47 ~spl9_2 | ~spl9_3),
% 1.52/0.47 inference(avatar_contradiction_clause,[],[f93])).
% 1.52/0.47 thf(f100,plain,(
% 1.52/0.47 ( ! [X0 : $tType,X1 : (X0 > $o)] : (($true = (('const/sets/IN' @ X0 @ (sK0 @ X0 @ 'const/sets/EMPTY' @ X0 @ X1) @ X1))) | ('const/sets/EMPTY' @ X0 = X1) | ($true != $true)) )),
% 1.52/0.47 inference(superposition,[],[f49,f65])).
% 1.52/0.47 thf(f106,plain,(
% 1.52/0.47 ( ! [X0 : $tType,X1 : (X0 > $o)] : (($true = (('const/sets/IN' @ X0 @ (sK0 @ X0 @ 'const/sets/EMPTY' @ X0 @ X1) @ X1))) | ('const/sets/EMPTY' @ X0 = X1)) )),
% 1.52/0.47 inference(trivial_inequality_removal,[],[f100])).
% 1.52/0.47 thf(f107,plain,(
% 1.52/0.47 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X1 > X1),X3 : (X0 > X1),X4 : (X0 > $o)] : (($true != $true) | ((('const/iterate/neutral' @ X1 @ X2)) != ((X3 @ (sK0 @ X0 @ 'const/sets/EMPTY' @ X0 @ ('const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4))))) | ('const/sets/EMPTY' @ X0 = (('const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4)))) )),
% 1.52/0.47 inference(superposition,[],[f46,f106])).
% 1.52/0.47 thf(f110,plain,(
% 1.52/0.47 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X1 > X1),X3 : (X0 > X1),X4 : (X0 > $o)] : (((('const/iterate/neutral' @ X1 @ X2)) != ((X3 @ (sK0 @ X0 @ 'const/sets/EMPTY' @ X0 @ ('const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4))))) | ('const/sets/EMPTY' @ X0 = (('const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4)))) )),
% 1.52/0.47 inference(trivial_inequality_removal,[],[f107])).
% 1.52/0.47 thf(f211,plain,(
% 1.52/0.47 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X1 > X1),X3 : (X0 > X1),X4 : (X0 > $o)] : (($true != $true) | ('const/sets/EMPTY' @ X0 = (('const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4))) | ($true = (('const/sets/IN' @ X0 @ (sK0 @ X0 @ 'const/sets/EMPTY' @ X0 @ ('const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4)) @ X4)))) )),
% 1.52/0.47 inference(superposition,[],[f47,f106])).
% 1.52/0.47 thf(f214,plain,(
% 1.52/0.47 ( ! [X1 : $tType,X0 : $tType,X2 : (X1 > X1 > X1),X3 : (X0 > X1),X4 : (X0 > $o)] : (($true = (('const/sets/IN' @ X0 @ (sK0 @ X0 @ 'const/sets/EMPTY' @ X0 @ ('const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4)) @ X4))) | ('const/sets/EMPTY' @ X0 = (('const/iterate/support' @ X1 @ X0 @ X2 @ X3 @ X4)))) )),
% 1.52/0.47 inference(trivial_inequality_removal,[],[f211])).
% 1.52/0.47 thf(f251,plain,(
% 1.52/0.47 ( ! [X0 : $tType,X2 : (sK2 > X0),X1 : (X0 > X0 > X0)] : ((sF8 = ((sK4 @ (sK0 @ sK2 @ 'const/sets/EMPTY' @ sK2 @ ('const/iterate/support' @ X0 @ sK2 @ X1 @ X2 @ sK5))))) | ((('const/iterate/support' @ X0 @ sK2 @ X1 @ X2 @ sK5)) = 'const/sets/EMPTY' @ sK2) | ($true != $true)) )),
% 1.52/0.47 inference(superposition,[],[f62,f214])).
% 1.52/0.47 thf(f255,plain,(
% 1.52/0.47 ( ! [X0 : $tType,X2 : (sK2 > X0),X1 : (X0 > X0 > X0)] : ((sF8 = ((sK4 @ (sK0 @ sK2 @ 'const/sets/EMPTY' @ sK2 @ ('const/iterate/support' @ X0 @ sK2 @ X1 @ X2 @ sK5))))) | ((('const/iterate/support' @ X0 @ sK2 @ X1 @ X2 @ sK5)) = 'const/sets/EMPTY' @ sK2)) )),
% 1.52/0.47 inference(trivial_inequality_removal,[],[f251])).
% 1.52/0.47 thf(f274,plain,(
% 1.52/0.47 ( ! [X0 : (sK1 > sK1 > sK1)] : (((('const/iterate/support' @ sK1 @ sK2 @ X0 @ sK4 @ sK5)) = 'const/sets/EMPTY' @ sK2) | (sF8 != (('const/iterate/neutral' @ sK1 @ X0))) | ((('const/iterate/support' @ sK1 @ sK2 @ X0 @ sK4 @ sK5)) = 'const/sets/EMPTY' @ sK2)) )),
% 1.52/0.47 inference(superposition,[],[f110,f255])).
% 1.52/0.47 thf(f275,plain,(
% 1.52/0.47 ( ! [X0 : (sK1 > sK1 > sK1)] : (((('const/iterate/support' @ sK1 @ sK2 @ X0 @ sK4 @ sK5)) = 'const/sets/EMPTY' @ sK2) | (sF8 != (('const/iterate/neutral' @ sK1 @ X0)))) )),
% 1.52/0.47 inference(duplicate_literal_removal,[],[f274])).
% 1.52/0.47 thf(f277,plain,(
% 1.52/0.47 ( ! [X0 : (sK1 > sK1 > sK1)] : (((('const/iterate/iterate' @ sK2 @ sK1 @ X0 @ 'const/sets/EMPTY' @ sK2 @ sK4)) = (('const/iterate/iterate' @ sK2 @ sK1 @ X0 @ sK5 @ sK4))) | (sF8 != (('const/iterate/neutral' @ sK1 @ X0)))) )),
% 1.52/0.47 inference(superposition,[],[f48,f275])).
% 1.52/0.47 thf(f300,plain,(
% 1.52/0.47 ( ! [X0 : (sK1 > sK1 > sK1)] : (((('const/iterate/iterate' @ sK2 @ sK1 @ X0 @ sK5 @ sK4)) = (('const/iterate/neutral' @ sK1 @ X0))) | ($true != (('const/iterate/monoidal' @ sK1 @ X0))) | (sF8 != (('const/iterate/neutral' @ sK1 @ X0)))) )),
% 1.52/0.47 inference(superposition,[],[f277,f53])).
% 1.52/0.47 thf(f302,plain,(
% 1.52/0.47 (sF7 = (('const/iterate/neutral' @ sK1 @ sK3))) | ($true != (('const/iterate/monoidal' @ sK1 @ sK3))) | (sF8 != (('const/iterate/neutral' @ sK1 @ sK3)))),
% 1.52/0.47 inference(superposition,[],[f300,f59])).
% 1.52/0.47 thf(f305,plain,(
% 1.52/0.47 (sF7 = (('const/iterate/neutral' @ sK1 @ sK3))) | (sF8 != (('const/iterate/neutral' @ sK1 @ sK3))) | ~spl9_1),
% 1.52/0.47 inference(forward_subsumption_resolution,[],[f302,f72])).
% 1.52/0.47 thf(f307,plain,(
% 1.52/0.47 (sF7 = (('const/iterate/neutral' @ sK1 @ sK3))) | ~spl9_1),
% 1.52/0.47 inference(forward_subsumption_resolution,[],[f305,f60])).
% 1.52/0.47 thf(f309,plain,(
% 1.52/0.47 (sF7 = sF8) | ~spl9_1),
% 1.52/0.47 inference(forward_demodulation,[],[f307,f60])).
% 1.52/0.47 thf(f312,plain,(
% 1.52/0.47 $false | ~spl9_1),
% 1.52/0.47 inference(forward_subsumption_resolution,[],[f309,f61])).
% 1.52/0.47 thf(f313,plain,(
% 1.52/0.47 ~spl9_1),
% 1.52/0.47 inference(avatar_contradiction_clause,[],[f312])).
% 1.52/0.47 cnf(s1, plain, spl9_1 | spl9_2, inference(sat_conversion,[],[f77])).
% 1.52/0.47 cnf(s3, plain, spl9_3, inference(sat_conversion,[],[f87])).
% 1.52/0.47 cnf(s5, plain, ~spl9_2 | ~spl9_3, inference(sat_conversion,[],[f94])).
% 1.52/0.47 cnf(s13, plain, ~spl9_1, inference(sat_conversion,[],[f313])).
% 1.52/0.47 cnf(s14, plain, ~spl9_2, inference(rat,[],[s5,s3])).
% 1.52/0.47 cnf(s15, plain, $false, inference(rat,[],[s1,s14,s13])).
% 1.52/0.47 thf(f314,plain,(
% 1.52/0.47 $false),
% 1.52/0.47 inference(avatar_sat_refutation,[],[s15])).
% 1.52/0.47 % SZS output end Proof for theBenchmark
% 1.52/0.47 % (776816)------------------------------
% 1.52/0.47 % (776816)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.52/0.47 % (776816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.52/0.47 % (776816)CaDiCaL version: 2.1.3
% 1.52/0.47 % (776816)Termination reason: Refutation
% 1.52/0.47 % (776816)Time elapsed: 0.030 s
% 1.52/0.47 % (776816)Peak memory usage: 13 MB
% 1.52/0.47 % (776816)Instructions burned: 44 (million)
% 1.52/0.47 % (776763)Success in time 0.216 s
% 1.52/0.47 % Vampire exiting
%------------------------------------------------------------------------------