%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV204^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 08:38:01 AM UTC 2026
% Result : Theorem 2.52s 0.70s
% Output : Refutation 2.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV204^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n014.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 15:20:35 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 Running higher-order theorem proving
% 0.10/0.25 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
% 0.63/0.39 % (2797916)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.39 % (2797936)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3341706220:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.39 % (2797942)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.39 % (2797942)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
% 0.63/0.39 % (2797938)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2394860631:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.39 % (2797937)lrs+10_16_si=on:nwc=1.5:random_seed=1844354204:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.39 % (2797940)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=3156792925:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.39 % (2797942)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=3354483104:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.39 % (2797939)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=2872759183: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)
% 0.63/0.39 % (2797941)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3040660310:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.39 % (2797938)Instruction limit reached!
% 0.63/0.39 % (2797938)------------------------------
% 0.63/0.39 % (2797938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (2797938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (2797938)CaDiCaL version: 2.1.3
% 0.63/0.39 % (2797938)Termination reason: Instruction limit
% 0.63/0.39 % (2797938)Termination phase: Saturation
% 0.63/0.39 % (2797938)Time elapsed: 0.003 s
% 0.63/0.39 % (2797938)Peak memory usage: 12 MB
% 0.63/0.39 % (2797938)Instructions burned: 3 (million)
% 0.63/0.39 % (2797937)Instruction limit reached!
% 0.63/0.39 % (2797937)------------------------------
% 0.63/0.39 % (2797937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (2797937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (2797937)CaDiCaL version: 2.1.3
% 0.63/0.39 % (2797937)Termination reason: Instruction limit
% 0.63/0.39 % (2797937)Termination phase: Saturation
% 0.63/0.39 % (2797937)Time elapsed: 0.011 s
% 0.63/0.39 % (2797937)Peak memory usage: 12 MB
% 0.63/0.39 % (2797937)Instructions burned: 18 (million)
% 0.63/0.39 % (2797940)Instruction limit reached!
% 0.63/0.39 % (2797940)------------------------------
% 0.63/0.39 % (2797940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (2797940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (2797940)CaDiCaL version: 2.1.3
% 0.63/0.39 % (2797940)Termination reason: Instruction limit
% 0.63/0.39 % (2797940)Termination phase: Saturation
% 0.63/0.39 % (2797940)Time elapsed: 0.014 s
% 0.63/0.39 % (2797940)Peak memory usage: 12 MB
% 0.63/0.39 % (2797940)Instructions burned: 24 (million)
% 0.63/0.39 % (2797936)Instruction limit reached!
% 0.63/0.39 % (2797936)------------------------------
% 0.63/0.39 % (2797936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.39 % (2797936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.39 % (2797936)CaDiCaL version: 2.1.3
% 0.63/0.39 % (2797936)Termination reason: Instruction limit
% 0.63/0.39 % (2797936)Termination phase: Saturation
% 0.63/0.39 % (2797936)Time elapsed: 0.027 s
% 0.63/0.39 % (2797936)Peak memory usage: 13 MB
% 0.63/0.39 % (2797936)Instructions burned: 88 (million)
% 0.63/0.39 % (2797956)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3633446557:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.39 % (2797956)Instruction limit reached!
% 0.63/0.39 % (2797956)------------------------------
% 0.63/0.39 % (2797956)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (2797956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (2797956)CaDiCaL version: 2.1.3
% 0.63/0.43 % (2797956)Termination reason: Instruction limit
% 0.63/0.43 % (2797956)Termination phase: Saturation
% 0.63/0.43 % (2797956)Time elapsed: 0.004 s
% 0.63/0.43 % (2797956)Peak memory usage: 12 MB
% 0.63/0.43 % (2797956)Instructions burned: 6 (million)
% 0.63/0.43 % (2797963)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2610223004:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.43 % (2797960)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.43 % (2797958)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=34177231:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.43 % (2797960)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4407422:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.43 % (2797963)Instruction limit reached!
% 0.63/0.43 % (2797963)------------------------------
% 0.63/0.43 % (2797963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (2797963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (2797963)CaDiCaL version: 2.1.3
% 0.63/0.43 % (2797963)Termination reason: Instruction limit
% 0.63/0.43 % (2797963)Termination phase: Saturation
% 0.63/0.43 % (2797963)Time elapsed: 0.005 s
% 0.63/0.43 % (2797963)Peak memory usage: 12 MB
% 0.63/0.43 % (2797963)Instructions burned: 15 (million)
% 0.63/0.43 % (2797960)Instruction limit reached!
% 0.63/0.43 % (2797960)------------------------------
% 0.63/0.43 % (2797960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (2797960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (2797960)CaDiCaL version: 2.1.3
% 0.63/0.43 % (2797960)Termination reason: Instruction limit
% 0.63/0.43 % (2797960)Termination phase: Saturation
% 0.63/0.43 % (2797960)Time elapsed: 0.004 s
% 0.63/0.43 % (2797960)Peak memory usage: 12 MB
% 0.63/0.43 % (2797960)Instructions burned: 9 (million)
% 0.63/0.43 % (2797958)Instruction limit reached!
% 0.63/0.43 % (2797958)------------------------------
% 0.63/0.43 % (2797958)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (2797958)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (2797958)CaDiCaL version: 2.1.3
% 0.63/0.43 % (2797958)Termination reason: Instruction limit
% 0.63/0.43 % (2797958)Termination phase: Saturation
% 0.63/0.43 % (2797958)Time elapsed: 0.007 s
% 0.63/0.43 % (2797958)Peak memory usage: 12 MB
% 0.63/0.43 % (2797958)Instructions burned: 10 (million)
% 0.63/0.43 % (2797967)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
% 0.63/0.43 % (2797967)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.43 % (2797941)Instruction limit reached!
% 0.63/0.43 % (2797941)------------------------------
% 0.63/0.43 % (2797941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43 % (2797941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43 % (2797941)CaDiCaL version: 2.1.3
% 0.63/0.43 % (2797941)Termination reason: Instruction limit
% 0.63/0.43 % (2797941)Termination phase: Saturation
% 0.63/0.43 % (2797941)Time elapsed: 0.043 s
% 0.63/0.43 % (2797941)Peak memory usage: 13 MB
% 0.63/0.43 % (2797941)Instructions burned: 82 (million)
% 0.63/0.43 % (2797967)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2821147605:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.43 % (2797975)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=2278755283:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.43 % (2797979)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.35/0.48 % (2797978)lrs+10_1_si=on:cs=on:random_seed=2437371776:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.35/0.48 % (2797979)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=4138116318:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.35/0.48 % (2797967)Instruction limit reached!
% 1.35/0.48 % (2797967)------------------------------
% 1.35/0.48 % (2797967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (2797967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (2797967)CaDiCaL version: 2.1.3
% 1.35/0.48 % (2797967)Termination reason: Instruction limit
% 1.35/0.48 % (2797967)Termination phase: Saturation
% 1.35/0.48 % (2797967)Time elapsed: 0.014 s
% 1.35/0.48 % (2797967)Peak memory usage: 12 MB
% 1.35/0.48 % (2797967)Instructions burned: 28 (million)
% 1.35/0.48 % (2797979)Instruction limit reached!
% 1.35/0.48 % (2797979)------------------------------
% 1.35/0.48 % (2797979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (2797979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (2797979)CaDiCaL version: 2.1.3
% 1.35/0.48 % (2797979)Termination reason: Instruction limit
% 1.35/0.48 % (2797979)Termination phase: Saturation
% 1.35/0.48 % (2797979)Time elapsed: 0.002 s
% 1.35/0.48 % (2797979)Peak memory usage: 11 MB
% 1.35/0.48 % (2797979)Instructions burned: 4 (million)
% 1.35/0.48 % (2797978)Instruction limit reached!
% 1.35/0.48 % (2797978)------------------------------
% 1.35/0.48 % (2797978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (2797978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (2797978)CaDiCaL version: 2.1.3
% 1.35/0.48 % (2797978)Termination reason: Instruction limit
% 1.35/0.48 % (2797978)Termination phase: Saturation
% 1.35/0.48 % (2797978)Time elapsed: 0.005 s
% 1.35/0.48 % (2797978)Peak memory usage: 12 MB
% 1.35/0.48 % (2797978)Instructions burned: 10 (million)
% 1.35/0.48 % (2797983)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3741606837:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.35/0.48 % (2797975)Instruction limit reached!
% 1.35/0.48 % (2797975)------------------------------
% 1.35/0.48 % (2797975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (2797975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (2797975)CaDiCaL version: 2.1.3
% 1.35/0.48 % (2797975)Termination reason: Instruction limit
% 1.35/0.48 % (2797975)Termination phase: Saturation
% 1.35/0.48 % (2797975)Time elapsed: 0.026 s
% 1.35/0.48 % (2797975)Peak memory usage: 12 MB
% 1.35/0.48 % (2797975)Instructions burned: 89 (million)
% 1.35/0.48 % (2797990)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2981811819:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.35/0.48 % (2797992)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=4271364789:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.35/0.48 % (2797994)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2761349931:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.35/0.48 % (2797992)Refutation not found, incomplete strategy
% 1.35/0.48 % (2797992)------------------------------
% 1.35/0.48 % (2797992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (2797992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (2797992)CaDiCaL version: 2.1.3
% 1.35/0.48 % (2797992)Termination reason: Refutation not found, incomplete strategy
% 1.35/0.48 % (2797992)Time elapsed: 0.004 s
% 1.35/0.48 % (2797992)Peak memory usage: 12 MB
% 1.35/0.48 % (2797992)Instructions burned: 5 (million)
% 1.35/0.48 % (2797992)------------------------------
% 1.35/0.48 % (2797992)------------------------------
% 1.35/0.48 % (2797942)Instruction limit reached!
% 1.35/0.48 % (2797942)------------------------------
% 1.35/0.48 % (2797942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.48 % (2797942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.48 % (2797942)CaDiCaL version: 2.1.3
% 1.35/0.48 % (2797942)Termination reason: Instruction limit
% 1.35/0.53 % (2797942)Termination phase: Saturation
% 1.35/0.53 % (2797942)Time elapsed: 0.086 s
% 1.35/0.53 % (2797942)Peak memory usage: 13 MB
% 1.35/0.53 % (2797942)Instructions burned: 158 (million)
% 1.35/0.53 % (2797997)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=914923533:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.35/0.53 % (2797983)Instruction limit reached!
% 1.35/0.53 % (2797983)------------------------------
% 1.35/0.53 % (2797983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.53 % (2797983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.53 % (2797983)CaDiCaL version: 2.1.3
% 1.35/0.53 % (2797983)Termination reason: Instruction limit
% 1.35/0.53 % (2797983)Termination phase: Saturation
% 1.35/0.53 % (2797983)Time elapsed: 0.022 s
% 1.35/0.53 % (2797983)Peak memory usage: 12 MB
% 1.35/0.53 % (2797983)Instructions burned: 39 (million)
% 1.35/0.53 % (2797994)Instruction limit reached!
% 1.35/0.53 % (2797994)------------------------------
% 1.35/0.53 % (2797994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.53 % (2797994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.53 % (2797994)CaDiCaL version: 2.1.3
% 1.35/0.53 % (2797994)Termination reason: Instruction limit
% 1.35/0.53 % (2797994)Termination phase: Saturation
% 1.35/0.53 % (2797994)Time elapsed: 0.009 s
% 1.35/0.53 % (2797994)Peak memory usage: 12 MB
% 1.35/0.53 % (2797994)Instructions burned: 14 (million)
% 1.35/0.53 % (2798003)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2198007616:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.35/0.53 % (2798005)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2611289967: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)
% 1.35/0.53 % (2798007)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1928083743:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.35/0.53 % (2798005)Instruction limit reached!
% 1.35/0.53 % (2798005)------------------------------
% 1.35/0.53 % (2798005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.53 % (2798005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.53 % (2798005)CaDiCaL version: 2.1.3
% 1.35/0.53 % (2798005)Termination reason: Instruction limit
% 1.35/0.53 % (2798005)Termination phase: Saturation
% 1.35/0.53 % (2798005)Time elapsed: 0.001 s
% 1.35/0.53 % (2798005)Peak memory usage: 11 MB
% 1.35/0.53 % (2798005)Instructions burned: 2 (million)
% 1.35/0.53 % (2798010)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1744769095:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.35/0.53 % (2798003)Instruction limit reached!
% 1.35/0.53 % (2798003)------------------------------
% 1.35/0.53 % (2798003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.53 % (2798003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.53 % (2798003)CaDiCaL version: 2.1.3
% 1.35/0.53 % (2798003)Termination reason: Instruction limit
% 1.35/0.53 % (2798003)Termination phase: Saturation
% 1.35/0.53 % (2798003)Time elapsed: 0.008 s
% 1.35/0.53 % (2798003)Peak memory usage: 12 MB
% 1.35/0.53 % (2798003)Instructions burned: 14 (million)
% 1.35/0.53 % (2798007)Instruction limit reached!
% 1.35/0.53 % (2798007)------------------------------
% 1.35/0.53 % (2798007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.53 % (2798007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.53 % (2798007)CaDiCaL version: 2.1.3
% 1.35/0.53 % (2798007)Termination reason: Instruction limit
% 1.35/0.53 % (2798007)Termination phase: Saturation
% 1.35/0.53 % (2798007)Time elapsed: 0.015 s
% 1.35/0.53 % (2798007)Peak memory usage: 12 MB
% 1.35/0.53 % (2798007)Instructions burned: 27 (million)
% 1.35/0.53 % (2798010)Instruction limit reached!
% 1.35/0.53 % (2798010)------------------------------
% 1.35/0.53 % (2798010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.53 % (2798010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.53 % (2798010)CaDiCaL version: 2.1.3
% 1.35/0.53 % (2798010)Termination reason: Instruction limit
% 1.35/0.53 % (2798010)Termination phase: Saturation
% 1.35/0.53 % (2798010)Time elapsed: 0.014 s
% 2.04/0.57 % (2798010)Peak memory usage: 12 MB
% 2.04/0.57 % (2798010)Instructions burned: 26 (million)
% 2.04/0.57 % (2798020)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1934642975:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 2.04/0.57 % (2798025)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
% 2.04/0.57 % (2798025)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.04/0.57 % (2798025)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=2903336025:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.04/0.57 % (2798027)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.04/0.57 % (2798025)Instruction limit reached!
% 2.04/0.57 % (2798025)------------------------------
% 2.04/0.57 % (2798025)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (2798025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (2798025)CaDiCaL version: 2.1.3
% 2.04/0.57 % (2798025)Termination reason: Instruction limit
% 2.04/0.57 % (2798025)Termination phase: Saturation
% 2.04/0.57 % (2798025)Time elapsed: 0.009 s
% 2.04/0.57 % (2798025)Peak memory usage: 12 MB
% 2.04/0.57 % (2798025)Instructions burned: 15 (million)
% 2.04/0.57 % (2798027)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=1920308955:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.04/0.57 % (2798028)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=1406624848:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.04/0.57 % (2798027)Instruction limit reached!
% 2.04/0.57 % (2798027)------------------------------
% 2.04/0.57 % (2798027)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (2798027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (2798027)CaDiCaL version: 2.1.3
% 2.04/0.57 % (2798027)Termination reason: Instruction limit
% 2.04/0.57 % (2798027)Termination phase: Saturation
% 2.04/0.57 % (2798027)Time elapsed: 0.006 s
% 2.04/0.57 % (2798027)Peak memory usage: 12 MB
% 2.04/0.57 % (2798027)Instructions burned: 8 (million)
% 2.04/0.57 % (2798020)Instruction limit reached!
% 2.04/0.57 % (2798020)------------------------------
% 2.04/0.57 % (2798020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (2798020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (2798020)CaDiCaL version: 2.1.3
% 2.04/0.57 % (2798020)Termination reason: Instruction limit
% 2.04/0.57 % (2798020)Termination phase: Saturation
% 2.04/0.57 % (2798020)Time elapsed: 0.032 s
% 2.04/0.57 % (2798020)Peak memory usage: 12 MB
% 2.04/0.57 % (2798020)Instructions burned: 60 (million)
% 2.04/0.57 % (2798037)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1012793897:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.04/0.57 % (2798037)Instruction limit reached!
% 2.04/0.57 % (2798037)------------------------------
% 2.04/0.57 % (2798037)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (2798037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (2798037)CaDiCaL version: 2.1.3
% 2.04/0.57 % (2798037)Termination reason: Instruction limit
% 2.04/0.57 % (2798037)Termination phase: Saturation
% 2.04/0.57 % (2798037)Time elapsed: 0.005 s
% 2.04/0.57 % (2798037)Peak memory usage: 12 MB
% 2.04/0.57 % (2798037)Instructions burned: 8 (million)
% 2.04/0.57 % (2798028)Instruction limit reached!
% 2.04/0.57 % (2798028)------------------------------
% 2.04/0.57 % (2798028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.04/0.57 % (2798028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.04/0.57 % (2798028)CaDiCaL version: 2.1.3
% 2.04/0.57 % (2798028)Termination reason: Instruction limit
% 2.04/0.57 % (2798028)Termination phase: Saturation
% 2.37/0.65 % (2798028)Time elapsed: 0.027 s
% 2.37/0.65 % (2798028)Peak memory usage: 12 MB
% 2.37/0.65 % (2798028)Instructions burned: 31 (million)
% 2.37/0.65 % (2797997)Instruction limit reached!
% 2.37/0.65 % (2797997)------------------------------
% 2.37/0.65 % (2797997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.65 % (2797997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.65 % (2797997)CaDiCaL version: 2.1.3
% 2.37/0.65 % (2797997)Termination reason: Instruction limit
% 2.37/0.65 % (2797997)Termination phase: Saturation
% 2.37/0.65 % (2797997)Time elapsed: 0.090 s
% 2.37/0.65 % (2797997)Peak memory usage: 13 MB
% 2.37/0.65 % (2797997)Instructions burned: 330 (million)
% 2.37/0.65 % (2798053)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3423399966:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.37/0.65 % (2798043)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1200000038:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.37/0.65 % (2798057)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3268237412:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.37/0.65 % (2798068)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3696543304:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.37/0.65 % (2798053)Instruction limit reached!
% 2.37/0.65 % (2798053)------------------------------
% 2.37/0.65 % (2798053)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.65 % (2798053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.65 % (2798053)CaDiCaL version: 2.1.3
% 2.37/0.65 % (2798053)Termination reason: Instruction limit
% 2.37/0.65 % (2798053)Termination phase: Saturation
% 2.37/0.65 % (2798053)Time elapsed: 0.012 s
% 2.37/0.65 % (2798053)Peak memory usage: 12 MB
% 2.37/0.65 % (2798053)Instructions burned: 20 (million)
% 2.37/0.65 % (2798043)Instruction limit reached!
% 2.37/0.65 % (2798043)------------------------------
% 2.37/0.65 % (2798043)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.65 % (2798043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.65 % (2798043)CaDiCaL version: 2.1.3
% 2.37/0.65 % (2798043)Termination reason: Instruction limit
% 2.37/0.65 % (2798043)Termination phase: Saturation
% 2.37/0.65 % (2798043)Time elapsed: 0.011 s
% 2.37/0.65 % (2798043)Peak memory usage: 12 MB
% 2.37/0.65 % (2798043)Instructions burned: 26 (million)
% 2.37/0.65 % (2798065)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3063337654:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.37/0.65 % (2797990)Instruction limit reached!
% 2.37/0.65 % (2797990)------------------------------
% 2.37/0.65 % (2797990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.65 % (2797990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.65 % (2797990)CaDiCaL version: 2.1.3
% 2.37/0.65 % (2797990)Termination reason: Instruction limit
% 2.37/0.65 % (2797990)Termination phase: Saturation
% 2.37/0.65 % (2797990)Time elapsed: 0.127 s
% 2.37/0.65 % (2797990)Peak memory usage: 14 MB
% 2.37/0.65 % (2797990)Instructions burned: 249 (million)
% 2.37/0.65 % (2798081)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.37/0.65 % (2798080)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3050864946:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.37/0.65 % (2798081)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2837495809:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.37/0.65 % (2798081)Instruction limit reached!
% 2.37/0.65 % (2798081)------------------------------
% 2.37/0.65 % (2798081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.37/0.65 % (2798081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.65 % (2798081)CaDiCaL version: 2.1.3
% 2.37/0.65 % (2798081)Termination reason: Instruction limit
% 2.37/0.65 % (2798081)Termination phase: Saturation
% 2.37/0.65 % (2798081)Time elapsed: 0.004 s
% 2.37/0.65 % (2798081)Peak memory usage: 12 MB
% 2.37/0.65 % (2798081)Instructions burned: 8 (million)
% 2.37/0.65 % (2797939)Instruction limit reached!
% 2.52/0.70 % (2797939)------------------------------
% 2.52/0.70 % (2797939)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2797939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2797939)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2797939)Termination reason: Instruction limit
% 2.52/0.70 % (2797939)Termination phase: Saturation
% 2.52/0.70 % (2797939)Time elapsed: 0.221 s
% 2.52/0.70 % (2797939)Peak memory usage: 13 MB
% 2.52/0.70 % (2797939)Instructions burned: 637 (million)
% 2.52/0.70 % (2798085)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2680488047:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.52/0.70 % (2798092)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=1037962871: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)
% 2.52/0.70 % (2798080)Instruction limit reached!
% 2.52/0.70 % (2798080)------------------------------
% 2.52/0.70 % (2798080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798080)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798080)Termination reason: Instruction limit
% 2.52/0.70 % (2798080)Termination phase: Saturation
% 2.52/0.70 % (2798080)Time elapsed: 0.026 s
% 2.52/0.70 % (2798080)Peak memory usage: 12 MB
% 2.52/0.70 % (2798080)Instructions burned: 42 (million)
% 2.52/0.70 % (2798093)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.52/0.70 % (2798068)Instruction limit reached!
% 2.52/0.70 % (2798068)------------------------------
% 2.52/0.70 % (2798068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798068)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798068)Termination reason: Instruction limit
% 2.52/0.70 % (2798068)Termination phase: Saturation
% 2.52/0.70 % (2798068)Time elapsed: 0.055 s
% 2.52/0.70 % (2798068)Peak memory usage: 13 MB
% 2.52/0.70 % (2798068)Instructions burned: 200 (million)
% 2.52/0.70 % (2798093)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=2814779904:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.52/0.70 % (2798093)Instruction limit reached!
% 2.52/0.70 % (2798093)------------------------------
% 2.52/0.70 % (2798093)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798093)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798093)Termination reason: Instruction limit
% 2.52/0.70 % (2798093)Termination phase: Saturation
% 2.52/0.70 % (2798093)Time elapsed: 0.006 s
% 2.52/0.70 % (2798093)Peak memory usage: 12 MB
% 2.52/0.70 % (2798093)Instructions burned: 6 (million)
% 2.52/0.70 % (2798097)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3260681613:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.52/0.70 % (2798096)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2867443594:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.52/0.70 % (2798097)Instruction limit reached!
% 2.52/0.70 % (2798097)------------------------------
% 2.52/0.70 % (2798097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798097)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798097)Termination reason: Instruction limit
% 2.52/0.70 % (2798097)Termination phase: Saturation
% 2.52/0.70 % (2798097)Time elapsed: 0.006 s
% 2.52/0.70 % (2798097)Peak memory usage: 12 MB
% 2.52/0.70 % (2798097)Instructions burned: 22 (million)
% 2.52/0.70 % (2798096)Instruction limit reached!
% 2.52/0.70 % (2798096)------------------------------
% 2.52/0.70 % (2798096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798096)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798096)Termination reason: Instruction limit
% 2.52/0.70 % (2798096)Termination phase: Saturation
% 2.52/0.70 % (2798096)Time elapsed: 0.012 s
% 2.52/0.70 % (2798096)Peak memory usage: 12 MB
% 2.52/0.70 % (2798096)Instructions burned: 23 (million)
% 2.52/0.70 % (2798065)Instruction limit reached!
% 2.52/0.70 % (2798065)------------------------------
% 2.52/0.70 % (2798065)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798065)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798065)Termination reason: Instruction limit
% 2.52/0.70 % (2798065)Termination phase: Saturation
% 2.52/0.70 % (2798065)Time elapsed: 0.076 s
% 2.52/0.70 % (2798065)Peak memory usage: 13 MB
% 2.52/0.70 % (2798065)Instructions burned: 144 (million)
% 2.52/0.70 % (2798102)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=2072158480:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.52/0.70 % (2798099)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=3442782854:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.52/0.70 % (2798103)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=484376461:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 2.52/0.70 % (2798104)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2523169748:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.52/0.70 % (2798103)Instruction limit reached!
% 2.52/0.70 % (2798103)------------------------------
% 2.52/0.70 % (2798103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798103)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798103)Termination reason: Instruction limit
% 2.52/0.70 % (2798103)Termination phase: Saturation
% 2.52/0.70 % (2798103)Time elapsed: 0.023 s
% 2.52/0.70 % (2798103)Peak memory usage: 12 MB
% 2.52/0.70 % (2798103)Instructions burned: 45 (million)
% 2.52/0.70 % (2798085)Instruction limit reached!
% 2.52/0.70 % (2798085)------------------------------
% 2.52/0.70 % (2798085)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798085)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798085)Termination reason: Instruction limit
% 2.52/0.70 % (2798085)Termination phase: Saturation
% 2.52/0.70 % (2798085)Time elapsed: 0.090 s
% 2.52/0.70 % (2798085)Peak memory usage: 14 MB
% 2.52/0.70 % (2798085)Instructions burned: 181 (million)
% 2.52/0.70 % (2798092)Instruction limit reached!
% 2.52/0.70 % (2798092)------------------------------
% 2.52/0.70 % (2798092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798092)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798092)Termination reason: Instruction limit
% 2.52/0.70 % (2798092)Termination phase: Saturation
% 2.52/0.70 % (2798092)Time elapsed: 0.088 s
% 2.52/0.70 % (2798092)Peak memory usage: 13 MB
% 2.52/0.70 % (2798092)Instructions burned: 169 (million)
% 2.52/0.70 % (2798110)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.52/0.70 % (2798109)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1887625281: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)
% 2.52/0.70 % (2798110)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3050917073:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.52/0.70 % (2798111)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=622931374:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.52/0.70 % (2798109)Instruction limit reached!
% 2.52/0.70 % (2798109)------------------------------
% 2.52/0.70 % (2798109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798109)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798109)Termination reason: Instruction limit
% 2.52/0.70 % (2798109)Termination phase: Saturation
% 2.52/0.70 % (2798109)Time elapsed: 0.014 s
% 2.52/0.70 % (2798109)Peak memory usage: 12 MB
% 2.52/0.70 % (2798109)Instructions burned: 23 (million)
% 2.52/0.70 % (2798111)Instruction limit reached!
% 2.52/0.70 % (2798111)------------------------------
% 2.52/0.70 % (2798111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798111)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798111)Termination reason: Instruction limit
% 2.52/0.70 % (2798111)Termination phase: Saturation
% 2.52/0.70 % (2798111)Time elapsed: 0.008 s
% 2.52/0.70 % (2798111)Peak memory usage: 12 MB
% 2.52/0.70 % (2798111)Instructions burned: 13 (million)
% 2.52/0.70 % (2798115)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=185695166:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.52/0.70 % (2798116)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=115604077:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.52/0.70 % (2798110) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2797916-2798110"...
% 2.52/0.70 % (2798110)...printing done.
% 2.52/0.70 % (2798110)Refutation found. Thanks to Tanya!
% 2.52/0.70 % SZS status Theorem for theBenchmark
% 2.52/0.70 % SZS output start Proof for theBenchmark
% 2.52/0.70 thf(type_def_5, type, iS: $tType).
% 2.52/0.70 thf(type_def_6, type, sTfun: ($tType * $tType) > $tType).
% 2.52/0.70 thf(func_def_0, type, y: iS).
% 2.52/0.70 thf(func_def_1, type, x: iS).
% 2.52/0.70 thf(func_def_2, type, cP: (iS > iS > iS)).
% 2.52/0.70 thf(func_def_3, type, c0: iS).
% 2.52/0.70 thf(func_def_7, type, sK0: ((iS > $o) > iS)).
% 2.52/0.70 thf(func_def_8, type, sK1: ((iS > $o) > iS)).
% 2.52/0.70 thf(func_def_9, type, sK2: (iS > iS > iS > $o)).
% 2.52/0.70 thf(func_def_10, type, db0: !>[X0: $tType]:(X0)).
% 2.52/0.70 thf(func_def_11, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.52/0.70 thf(func_def_12, type, sK3: ((iS > iS) > (iS > iS) > (iS > iS) > iS)).
% 2.52/0.70 thf(func_def_13, type, sK4: ((iS > iS) > (iS > iS) > (iS > iS) > iS)).
% 2.52/0.70 thf(func_def_14, type, db1: !>[X0: $tType]:(X0)).
% 2.52/0.70 thf(func_def_15, type, sK5: ((iS > iS) > iS)).
% 2.52/0.70 thf(func_def_16, type, sK6: ((iS > iS) > iS)).
% 2.52/0.70 thf(f1,conjecture,(
% 2.52/0.70 (! [X4 : (iS > $o)] : (((X4 @ c0) & ! [X0 : iS,X1 : iS] : (((X4 @ X1) & (X4 @ X0)) => (X4 @ (cP @ X0 @ X1)))) => ! [X0 : iS] : (X4 @ X0)) & ! [X1 : iS,X0 : iS] : (((cP @ X0 @ X1)) != c0) & ! [X1 : iS,X3 : iS,X2 : iS,X0 : iS] : ((((cP @ X0 @ X2)) = ((cP @ X1 @ X3))) => ((X0 = X1) & (X2 = X3)))) => ! [X5 : (iS > iS > iS > $o)] : ((! [X8 : iS,X6 : iS,X7 : iS] : ((((X7 = c0) & (X6 = X8)) | ((X7 = X8) & (X6 = c0)) | ? [X11 : iS,X13 : iS,X14 : iS,X12 : iS,X10 : iS,X9 : iS] : ((X7 = ((cP @ X11 @ X12))) & (X5 @ X9 @ X11 @ X13) & (X6 = ((cP @ X9 @ X10))) & (X8 = ((cP @ X13 @ X14))) & (X5 @ X10 @ X12 @ X14))) => (X5 @ X6 @ X7 @ X8)) & $true) => (X5 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y)))),
% 2.52/0.70 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cS_INCL_LEM4_pme)).
% 2.52/0.70 thf(f2,negated_conjecture,(
% 2.52/0.70 ~((! [X4 : (iS > $o)] : (((X4 @ c0) & ! [X0 : iS,X1 : iS] : (((X4 @ X1) & (X4 @ X0)) => (X4 @ (cP @ X0 @ X1)))) => ! [X0 : iS] : (X4 @ X0)) & ! [X1 : iS,X0 : iS] : (((cP @ X0 @ X1)) != c0) & ! [X1 : iS,X3 : iS,X2 : iS,X0 : iS] : ((((cP @ X0 @ X2)) = ((cP @ X1 @ X3))) => ((X0 = X1) & (X2 = X3)))) => ! [X5 : (iS > iS > iS > $o)] : ((! [X8 : iS,X6 : iS,X7 : iS] : ((((X7 = c0) & (X6 = X8)) | ((X7 = X8) & (X6 = c0)) | ? [X11 : iS,X13 : iS,X14 : iS,X12 : iS,X10 : iS,X9 : iS] : ((X7 = ((cP @ X11 @ X12))) & (X5 @ X9 @ X11 @ X13) & (X6 = ((cP @ X9 @ X10))) & (X8 = ((cP @ X13 @ X14))) & (X5 @ X10 @ X12 @ X14))) => (X5 @ X6 @ X7 @ X8)) & $true) => (X5 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))))),
% 2.52/0.70 inference(negated_conjecture,[status(cth)],[f1])).
% 2.52/0.70 thf(f3,plain,(
% 2.52/0.70 ~((! [X0 : (iS > $o)] : (((X0 @ c0) & ! [X1 : iS,X2 : iS] : (((X0 @ X2) & (X0 @ X1)) => (X0 @ (cP @ X1 @ X2)))) => ! [X3 : iS] : (X0 @ X3)) & ! [X4 : iS,X5 : iS] : (c0 != ((cP @ X5 @ X4))) & ! [X6 : iS,X7 : iS,X8 : iS,X9 : iS] : ((((cP @ X9 @ X8)) = ((cP @ X6 @ X7))) => ((X6 = X9) & (X7 = X8)))) => ! [X10 : (iS > iS > iS > $o)] : ((! [X11 : iS,X12 : iS,X13 : iS] : ((((c0 = X13) & (X11 = X12)) | ((X11 = X13) & (c0 = X12)) | ? [X14 : iS,X15 : iS,X16 : iS,X17 : iS,X18 : iS,X19 : iS] : ((((cP @ X14 @ X17)) = X13) & (X10 @ X19 @ X14 @ X15) & (((cP @ X19 @ X18)) = X12) & (((cP @ X15 @ X16)) = X11) & (X10 @ X18 @ X17 @ X16))) => (X10 @ X12 @ X13 @ X11)) & $true) => (X10 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))))),
% 2.52/0.70 inference(rectify,[],[f2])).
% 2.52/0.70 thf(f4,plain,(
% 2.52/0.70 ~((! [X8 : iS,X7 : iS,X9 : iS,X6 : iS] : ((((cP @ X9 @ X8)) = ((cP @ X6 @ X7))) => ((X7 = X8) & (X6 = X9))) & ! [X0 : (iS > $o)] : ((! [X2 : iS,X1 : iS] : (((((X0 @ X1)) = $true) & (((X0 @ X2)) = $true)) => (((X0 @ (cP @ X1 @ X2))) = $true)) & (((X0 @ c0)) = $true)) => ! [X3 : iS] : (((X0 @ X3)) = $true)) & ! [X4 : iS,X5 : iS] : (c0 != ((cP @ X5 @ X4)))) => ! [X10 : (iS > iS > iS > $o)] : ((! [X11 : iS,X12 : iS,X13 : iS] : ((((c0 = X13) & (X11 = X12)) | ((c0 = X12) & (X11 = X13)) | ? [X16 : iS,X19 : iS,X14 : iS,X17 : iS,X18 : iS,X15 : iS] : ((((cP @ X15 @ X16)) = X11) & (((cP @ X14 @ X17)) = X13) & (((X10 @ X18 @ X17 @ X16)) = $true) & (((cP @ X19 @ X18)) = X12) & (((X10 @ X19 @ X14 @ X15)) = $true))) => ($true = ((X10 @ X12 @ X13 @ X11)))) & $true) => (((X10 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))) = $true)))),
% 2.52/0.70 inference(fool_elimination,[],[f3])).
% 2.52/0.70 thf(f5,plain,(
% 2.52/0.70 ~((! [X8 : iS,X7 : iS,X9 : iS,X6 : iS] : ((((cP @ X9 @ X8)) = ((cP @ X6 @ X7))) => ((X7 = X8) & (X6 = X9))) & ! [X0 : (iS > $o)] : ((! [X2 : iS,X1 : iS] : (((((X0 @ X1)) = $true) & (((X0 @ X2)) = $true)) => (((X0 @ (cP @ X1 @ X2))) = $true)) & (((X0 @ c0)) = $true)) => ! [X3 : iS] : (((X0 @ X3)) = $true)) & ! [X4 : iS,X5 : iS] : (c0 != ((cP @ X5 @ X4)))) => ! [X10 : (iS > iS > iS > $o)] : (! [X11 : iS,X12 : iS,X13 : iS] : ((((c0 = X13) & (X11 = X12)) | ((c0 = X12) & (X11 = X13)) | ? [X16 : iS,X19 : iS,X14 : iS,X17 : iS,X18 : iS,X15 : iS] : ((((cP @ X15 @ X16)) = X11) & (((cP @ X14 @ X17)) = X13) & (((X10 @ X18 @ X17 @ X16)) = $true) & (((cP @ X19 @ X18)) = X12) & (((X10 @ X19 @ X14 @ X15)) = $true))) => ($true = ((X10 @ X12 @ X13 @ X11)))) => (((X10 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))) = $true)))),
% 2.52/0.70 inference(true_and_false_elimination,[],[f4])).
% 2.52/0.70 thf(f6,plain,(
% 2.52/0.70 ? [X10 : (iS > iS > iS > $o)] : ((((X10 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))) != $true) & ! [X11 : iS,X12 : iS,X13 : iS] : ((((c0 != X13) | (X11 != X12)) & ! [X15 : iS,X16 : iS,X19 : iS,X17 : iS,X18 : iS,X14 : iS] : ((((X10 @ X18 @ X17 @ X16)) != $true) | (((cP @ X14 @ X17)) != X13) | (((cP @ X15 @ X16)) != X11) | (((cP @ X19 @ X18)) != X12) | (((X10 @ X19 @ X14 @ X15)) != $true)) & ((X11 != X13) | (c0 != X12))) | ($true = ((X10 @ X12 @ X13 @ X11))))) & (! [X8 : iS,X9 : iS,X7 : iS,X6 : iS] : (((X7 = X8) & (X6 = X9)) | (((cP @ X9 @ X8)) != ((cP @ X6 @ X7)))) & ! [X0 : (iS > $o)] : (! [X3 : iS] : (((X0 @ X3)) = $true) | (? [X2 : iS,X1 : iS] : ((((X0 @ (cP @ X1 @ X2))) != $true) & ((((X0 @ X1)) = $true) & (((X0 @ X2)) = $true))) | (((X0 @ c0)) != $true))) & ! [X4 : iS,X5 : iS] : (c0 != ((cP @ X5 @ X4))))),
% 2.52/0.70 inference(ennf_transformation,[],[f5])).
% 2.52/0.70 thf(f7,plain,(
% 2.52/0.70 ! [X8 : iS,X9 : iS,X7 : iS,X6 : iS] : (((X7 = X8) & (X6 = X9)) | (((cP @ X9 @ X8)) != ((cP @ X6 @ X7)))) & ! [X0 : (iS > $o)] : (! [X3 : iS] : (((X0 @ X3)) = $true) | (((X0 @ c0)) != $true) | ? [X1 : iS,X2 : iS] : ((((X0 @ (cP @ X1 @ X2))) != $true) & (((X0 @ X2)) = $true) & (((X0 @ X1)) = $true))) & ? [X10 : (iS > iS > iS > $o)] : ((((X10 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))) != $true) & ! [X11 : iS,X12 : iS,X13 : iS] : ((((c0 != X13) | (X11 != X12)) & ! [X15 : iS,X16 : iS,X19 : iS,X17 : iS,X18 : iS,X14 : iS] : ((((X10 @ X18 @ X17 @ X16)) != $true) | (((cP @ X14 @ X17)) != X13) | (((cP @ X15 @ X16)) != X11) | (((cP @ X19 @ X18)) != X12) | (((X10 @ X19 @ X14 @ X15)) != $true)) & ((X11 != X13) | (c0 != X12))) | ($true = ((X10 @ X12 @ X13 @ X11))))) & ! [X4 : iS,X5 : iS] : (c0 != ((cP @ X5 @ X4)))),
% 2.52/0.70 inference(flattening,[],[f6])).
% 2.52/0.70 thf(f8,plain,(
% 2.52/0.70 ! [X0 : iS,X1 : iS,X2 : iS,X3 : iS] : (((X0 = X2) & (X1 = X3)) | (((cP @ X1 @ X0)) != ((cP @ X3 @ X2)))) & ! [X4 : (iS > $o)] : (! [X5 : iS] : (((X4 @ X5)) = $true) | (((X4 @ c0)) != $true) | ? [X6 : iS,X7 : iS] : ((((X4 @ (cP @ X6 @ X7))) != $true) & (((X4 @ X7)) = $true) & ($true = ((X4 @ X6))))) & ? [X8 : (iS > iS > iS > $o)] : ((((X8 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))) != $true) & ! [X9 : iS,X10 : iS,X11 : iS] : ((((c0 != X11) | (X9 != X10)) & ! [X12 : iS,X13 : iS,X14 : iS,X15 : iS,X16 : iS,X17 : iS] : ((((X8 @ X16 @ X15 @ X13)) != $true) | (((cP @ X17 @ X15)) != X11) | (((cP @ X12 @ X13)) != X9) | (((cP @ X14 @ X16)) != X10) | (((X8 @ X14 @ X17 @ X12)) != $true)) & ((X9 != X11) | (c0 != X10))) | (((X8 @ X10 @ X11 @ X9)) = $true))) & ! [X18 : iS,X19 : iS] : (c0 != ((cP @ X19 @ X18)))),
% 2.52/0.70 inference(rectify,[],[f7])).
% 2.52/0.70 thf(f9,plain,(
% 2.52/0.70 ! [X0 : iS,X1 : iS,X2 : iS,X3 : iS] : (((X0 = X2) & (X1 = X3)) | (((cP @ X1 @ X0)) != ((cP @ X3 @ X2)))) & ! [X4 : (iS > $o)] : (! [X5 : iS] : (((X4 @ X5)) = $true) | (((X4 @ c0)) != $true) | ((((X4 @ (cP @ (sK0 @ X4) @ (sK1 @ X4)))) != $true) & (((X4 @ (sK1 @ X4))) = $true) & (((X4 @ (sK0 @ X4))) = $true))) & ((((sK2 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))) != $true) & ! [X9 : iS,X10 : iS,X11 : iS] : ((((c0 != X11) | (X9 != X10)) & ! [X12 : iS,X13 : iS,X14 : iS,X15 : iS,X16 : iS,X17 : iS] : ((((sK2 @ X16 @ X15 @ X13)) != $true) | (((cP @ X17 @ X15)) != X11) | (((cP @ X12 @ X13)) != X9) | (((cP @ X14 @ X16)) != X10) | ($true != ((sK2 @ X14 @ X17 @ X12)))) & ((X9 != X11) | (c0 != X10))) | ($true = ((sK2 @ X10 @ X11 @ X9))))) & ! [X18 : iS,X19 : iS] : (c0 != ((cP @ X19 @ X18)))),
% 2.52/0.70 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP,vAPP,sK2]),skolemize(X7,sK1 @ X4),skolemize(X7,sK1 @ X4),skolemize(X8,sK2)],[f8])).
% 2.52/0.70 thf(f11,plain,(
% 2.52/0.70 ( ! [X10 : iS,X11 : iS,X9 : iS] : ((X9 != X11) | (c0 != X10) | ($true = ((sK2 @ X10 @ X11 @ X9)))) )),
% 2.52/0.70 inference(cnf_transformation,[],[f9])).
% 2.52/0.70 thf(f12,plain,(
% 2.52/0.70 ( ! [X10 : iS,X11 : iS,X9 : iS,X16 : iS,X14 : iS,X17 : iS,X15 : iS,X12 : iS,X13 : iS] : ((((sK2 @ X16 @ X15 @ X13)) != $true) | (((cP @ X17 @ X15)) != X11) | (((cP @ X12 @ X13)) != X9) | (((cP @ X14 @ X16)) != X10) | ($true != ((sK2 @ X14 @ X17 @ X12))) | ($true = ((sK2 @ X10 @ X11 @ X9)))) )),
% 2.52/0.70 inference(cnf_transformation,[],[f9])).
% 2.52/0.70 thf(f14,plain,(
% 2.52/0.70 (((sK2 @ (cP @ x @ c0) @ (cP @ x @ y) @ (cP @ x @ y))) != $true)),
% 2.52/0.70 inference(cnf_transformation,[],[f9])).
% 2.52/0.70 thf(f15,plain,(
% 2.52/0.70 ( ! [X4 : (iS > $o),X5 : iS] : ((((X4 @ (sK0 @ X4))) = $true) | (((X4 @ c0)) != $true) | (((X4 @ X5)) = $true)) )),
% 2.52/0.70 inference(cnf_transformation,[],[f9])).
% 2.52/0.70 thf(f16,plain,(
% 2.52/0.70 ( ! [X4 : (iS > $o),X5 : iS] : ((((X4 @ (sK1 @ X4))) = $true) | (((X4 @ X5)) = $true) | (((X4 @ c0)) != $true)) )),
% 2.52/0.70 inference(cnf_transformation,[],[f9])).
% 2.52/0.70 thf(f17,plain,(
% 2.52/0.70 ( ! [X4 : (iS > $o),X5 : iS] : ((((X4 @ (cP @ (sK0 @ X4) @ (sK1 @ X4)))) != $true) | (((X4 @ c0)) != $true) | (((X4 @ X5)) = $true)) )),
% 2.52/0.70 inference(cnf_transformation,[],[f9])).
% 2.52/0.70 thf(f24,plain,(
% 2.52/0.70 ( ! [X10 : iS,X9 : iS,X16 : iS,X14 : iS,X17 : iS,X15 : iS,X12 : iS,X13 : iS] : ((((sK2 @ X16 @ X15 @ X13)) != $true) | (((cP @ X12 @ X13)) != X9) | (((cP @ X14 @ X16)) != X10) | ($true != ((sK2 @ X14 @ X17 @ X12))) | (((sK2 @ X10 @ (cP @ X17 @ X15) @ X9)) = $true)) )),
% 2.52/0.70 inference(equality_resolution,[],[f12])).
% 2.52/0.70 thf(f25,plain,(
% 2.52/0.70 ( ! [X10 : iS,X16 : iS,X14 : iS,X17 : iS,X15 : iS,X12 : iS,X13 : iS] : ((((sK2 @ X16 @ X15 @ X13)) != $true) | (((cP @ X14 @ X16)) != X10) | ($true != ((sK2 @ X14 @ X17 @ X12))) | (((sK2 @ X10 @ (cP @ X17 @ X15) @ (cP @ X12 @ X13))) = $true)) )),
% 2.52/0.70 inference(equality_resolution,[],[f24])).
% 2.52/0.70 thf(f26,plain,(
% 2.52/0.70 ( ! [X16 : iS,X14 : iS,X17 : iS,X15 : iS,X12 : iS,X13 : iS] : (($true = ((sK2 @ (cP @ X14 @ X16) @ (cP @ X17 @ X15) @ (cP @ X12 @ X13)))) | ($true != ((sK2 @ X14 @ X17 @ X12))) | (((sK2 @ X16 @ X15 @ X13)) != $true)) )),
% 2.52/0.70 inference(equality_resolution,[],[f25])).
% 2.52/0.70 thf(f27,plain,(
% 2.52/0.70 ( ! [X10 : iS,X11 : iS] : ((c0 != X10) | (((sK2 @ X10 @ X11 @ X11)) = $true)) )),
% 2.52/0.70 inference(equality_resolution,[],[f11])).
% 2.52/0.70 thf(f28,plain,(
% 2.52/0.70 ( ! [X11 : iS] : ((((sK2 @ c0 @ X11 @ X11)) = $true)) )),
% 2.52/0.70 inference(equality_resolution,[],[f27])).
% 2.52/0.70 thf(f67,plain,(
% 2.52/0.70 (((sK2 @ x @ x @ x)) != $true) | ($true != ((sK2 @ c0 @ y @ y))) | ($true != $true)),
% 2.52/0.70 inference(constrained_superposition,[],[f14,f26])).
% 2.52/0.70 thf(f68,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > iS),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X7) | (((cP @ X2 @ X3)) != ((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X6) | (((cP @ X4 @ X5)) != ((X1 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))))) | (((sK2 @ X2 @ X4 @ X6)) != $true) | (((sK2 @ X3 @ X5 @ X7)) != $true) | ($true != $true) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true)) )),
% 2.52/0.70 inference(constrained_superposition,[],[f17,f26])).
% 2.52/0.70 thf(f72,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > iS),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((cP @ X4 @ X5)) != ((X1 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))))) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | (((sK2 @ X2 @ X4 @ X6)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X6) | ((((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true) | (((sK2 @ X3 @ X5 @ X7)) != $true) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X7) | (((cP @ X2 @ X3)) != ((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))))))) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f68])).
% 2.52/0.70 thf(f73,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : (iS > iS),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((cP @ X4 @ X5)) != ((X1 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))))) | (((sK2 @ (X0 @ X8) @ (X1 @ X8) @ X8)) = $true) | (((cP @ X2 @ X3)) != ((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0))))))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X6) | (((sK2 @ (X0 @ c0) @ (X1 @ c0) @ c0)) != $true) | (((sK2 @ X3 @ X5 @ X7)) != $true) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ (X1 @ Y0) @ Y0)))) != X7) | (((sK2 @ X2 @ X4 @ X6)) != $true)) )),
% 2.52/0.70 inference(beta-eta_normalization,[],[f72])).
% 2.52/0.70 thf(f74,plain,(
% 2.52/0.70 ($true != ((sK2 @ c0 @ y @ y))) | (((sK2 @ x @ x @ x)) != $true)),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f67])).
% 2.52/0.70 thf(f75,plain,(
% 2.52/0.70 (((sK2 @ x @ x @ x)) != $true) | ($true != $true)),
% 2.52/0.70 inference(forward_demodulation,[],[f74,f28])).
% 2.52/0.70 thf(f76,plain,(
% 2.52/0.70 (((sK2 @ x @ x @ x)) != $true)),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f75])).
% 2.52/0.70 thf(f255,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : (iS > $o)] : (($true != ((sK2 @ X3 @ (sK1 @ X5) @ X6))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0)))) != X4) | (((cP @ X2 @ X3)) != ((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0))))))) | (((sK2 @ (X0 @ X1) @ ((^[Y0 : iS]: (Y0)) @ X1) @ X1)) = $true) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0)))) != X6) | (((sK2 @ X2 @ X7 @ X4)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))) != X7) | (((sK2 @ (X0 @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0)) != $true) | ((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)) != X5)) )),
% 2.52/0.70 inference(equality_resolution,[],[f73])).
% 2.52/0.70 thf(f257,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : (iS > iS),X1 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : (iS > $o)] : ((((cP @ X2 @ X3)) != ((X0 @ (cP @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0))) @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0))))))) | ($true != ((sK2 @ X3 @ (sK1 @ X5) @ X6))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))) != X7) | ((^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)) != X5) | (((sK0 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))) != X4) | (((sK2 @ (X0 @ c0) @ c0 @ c0)) != $true) | (((sK2 @ X2 @ X7 @ X4)) != $true) | (((sK1 @ (^[Y0 : iS]: (sK2 @ (X0 @ Y0) @ Y0 @ Y0)))) != X6) | (((sK2 @ (X0 @ X1) @ X1 @ X1)) = $true)) )),
% 2.52/0.70 inference(beta-eta_normalization,[],[f255])).
% 2.52/0.70 thf(f259,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : (iS > $o),X1 : (iS > $o),X6 : iS,X4 : iS,X5 : iS] : (((^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)) != X1) | (((sK1 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)))) != X2) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X6) @ X6 @ X6)) = $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (((sK2 @ X5 @ X3 @ X4)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)))) != X4) | (((sK2 @ (sK1 @ X0) @ (sK1 @ X1) @ X2)) != $true) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ Y0)))) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5)) )),
% 2.52/0.70 inference(equality_resolution,[],[f257])).
% 2.52/0.70 thf(f262,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : (iS > $o),X1 : (iS > $o),X6 : iS,X4 : iS,X5 : iS] : ((((sK2 @ c0 @ c0 @ c0)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ X6 @ X6 @ X6)) = $true) | (((sK2 @ (sK1 @ X0) @ (sK1 @ X1) @ X2)) != $true) | (((sK2 @ X5 @ X3 @ X4)) != $true)) )),
% 2.52/0.70 inference(beta-eta_normalization,[],[f259])).
% 2.52/0.70 thf(f263,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : (iS > $o),X1 : (iS > $o),X6 : iS,X4 : iS,X5 : iS] : (((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X6 @ X6 @ X6)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ X5 @ X3 @ X4)) != $true) | (((sK2 @ (sK1 @ X0) @ (sK1 @ X1) @ X2)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | ($true != $true)) )),
% 2.52/0.70 inference(forward_demodulation,[],[f262,f28])).
% 2.52/0.70 thf(f264,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : (iS > $o),X1 : (iS > $o),X6 : iS,X4 : iS,X5 : iS] : ((((sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (((sK2 @ (sK1 @ X0) @ (sK1 @ X1) @ X2)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK2 @ X5 @ X3 @ X4)) != $true) | (((sK2 @ X6 @ X6 @ X6)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3)) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f263])).
% 2.52/0.70 thf(f265,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : (iS > $o),X1 : (iS > $o),X4 : iS,X5 : iS] : ((((sK2 @ (sK1 @ X0) @ (sK1 @ X1) @ (sK1 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0))))) != $true) | (((sK2 @ X3 @ X4 @ X2)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ($true = ((sK2 @ X5 @ X5 @ X5)))) )),
% 2.52/0.70 inference(equality_resolution,[],[f264])).
% 2.52/0.70 thf(f267,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : (iS > $o),X1 : (iS > $o),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : (((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | (((X2 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != ((sK1 @ X0))) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X4 @ X5 @ X6)) != $true) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | ($true = ((sK2 @ X7 @ X7 @ X7))) | (((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != ((sK1 @ X1))) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true) | ($true != $true) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1)) )),
% 2.52/0.70 inference(constrained_superposition,[],[f265,f16])).
% 2.52/0.70 thf(f273,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : (iS > $o),X1 : (iS > $o),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ X8)) = $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | ($true = ((sK2 @ X7 @ X7 @ X7))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0))) @ c0)) != $true) | (((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != ((sK1 @ X1))) | ((^[Y0 : iS]: (Y0)) != X3) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK2 @ X4 @ X5 @ X6)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | (((X2 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != ((sK1 @ X0)))) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f267])).
% 2.52/0.70 thf(f274,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : (iS > $o),X1 : (iS > $o),X8 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : iS] : ((((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != ((sK1 @ X1))) | (((sK2 @ X4 @ X5 @ X6)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X5) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK2 @ (X2 @ c0) @ (X3 @ c0) @ c0)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X1) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X0) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ($true = ((sK2 @ X7 @ X7 @ X7))) | (((sK2 @ (X2 @ X8) @ (X3 @ X8) @ X8)) = $true) | (((X2 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ (X3 @ Y0) @ Y0))))) != ((sK1 @ X0))) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6)) )),
% 2.52/0.70 inference(beta-eta_normalization,[],[f273])).
% 2.52/0.70 thf(f281,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : (iS > iS),X9 : iS,X7 : (iS > $o),X4 : (iS > iS),X5 : (iS > iS)] : ((((sK2 @ (X3 @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X6) | (X3 != X4) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X7) | (((sK2 @ (X3 @ X9) @ ((^[Y0 : iS]: (Y0)) @ X9) @ X9)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (sK2 @ (X4 @ Y0) @ (X5 @ Y0) @ (X6 @ Y0))) != (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0))) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK1 @ X7)) != ((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0)))))) | (((sK2 @ X8 @ X8 @ X8)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK2 @ X0 @ X1 @ X2)) != $true)) )),
% 2.52/0.70 inference(equality_resolution,[],[f274])).
% 2.52/0.70 thf(f284,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : (iS > iS),X9 : iS,X7 : (iS > $o),X4 : (iS > iS),X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (X3 != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK2 @ (X3 @ X9) @ ((^[Y0 : iS]: (Y0)) @ X9) @ X9)) = $true) | ((^[Y0 : iS]: (Y0)) != X6) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ (X3 @ c0) @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0)) != $true) | (((sK1 @ X7)) != ((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0)))))) | ((^[Y0 : iS]: (sK2 @ (X4 @ Y0) @ (X5 @ Y0) @ (X6 @ Y0))) != (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0))) | (((sK2 @ X0 @ X1 @ X2)) != $true) | (((sK2 @ X8 @ X8 @ X8)) = $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X7) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (Y0)) != X5)) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f281])).
% 2.52/0.70 thf(f285,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : (iS > iS),X9 : iS,X7 : (iS > $o),X4 : (iS > iS),X5 : (iS > iS)] : (((^[Y0 : iS]: (sK2 @ (X4 @ Y0) @ (X5 @ Y0) @ (X6 @ Y0))) != (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0))) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((sK2 @ (X3 @ c0) @ c0 @ c0)) != $true) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X0 @ X1 @ X2)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X7) | (((sK2 @ (X3 @ X9) @ X9 @ X9)) = $true) | (((sK1 @ X7)) != ((X3 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ Y0 @ Y0)))))) | (((sK2 @ X8 @ X8 @ X8)) = $true) | ((^[Y0 : iS]: (Y0)) != X6) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (X3 != X4)) )),
% 2.52/0.70 inference(beta-eta_normalization,[],[f284])).
% 2.52/0.70 thf(f287,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : iS,X0 : (iS > iS),X1 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : (iS > $o)] : (((^[Y0 : iS]: (Y0)) != X0) | ((^[Y0 : iS]: (Y0)) != X2) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK2 @ (X2 @ c0) @ c0 @ c0)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X5) | (((sK2 @ (X2 @ X6) @ X6 @ X6)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ((^[Y0 : iS]: (Y0)) != X0) | (((sK1 @ X5)) != ((X2 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ Y0 @ Y0)))))) | ($true = ((sK2 @ X7 @ X7 @ X7))) | (((sK2 @ X3 @ X1 @ X4)) != $true)) )),
% 2.52/0.70 inference(equality_resolution,[],[f285])).
% 2.52/0.70 thf(f292,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : iS,X0 : (iS > iS),X1 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : (iS > $o)] : (((^[Y0 : iS]: (Y0)) != X2) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X5) | (((sK2 @ X3 @ X1 @ X4)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK2 @ (X2 @ X6) @ X6 @ X6)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ($true = ((sK2 @ X7 @ X7 @ X7))) | ((^[Y0 : iS]: (Y0)) != X0) | (((sK2 @ (X2 @ c0) @ c0 @ c0)) != $true) | (((sK1 @ X5)) != ((X2 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ Y0 @ Y0)))))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0)))) )),
% 2.52/0.70 inference(duplicate_literal_removal,[],[f287])).
% 2.52/0.70 thf(f293,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : iS,X0 : (iS > iS),X1 : iS,X6 : iS,X7 : iS,X4 : iS,X5 : (iS > $o)] : ((((sK1 @ X5)) != ((X2 @ (sK1 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ Y0 @ Y0)))))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK2 @ X3 @ X1 @ X4)) != $true) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK2 @ (X2 @ c0) @ c0 @ c0)) != $true) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != X5) | ($true = ((sK2 @ X7 @ X7 @ X7))) | ((^[Y0 : iS]: (Y0)) != X0) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK2 @ (X2 @ X6) @ X6 @ X6)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1)) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f292])).
% 2.52/0.70 thf(f294,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : (iS > iS),X4 : (iS > iS),X5 : (iS > iS)] : ((((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ c0)) != $true) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X6 @ X6 @ X6)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (Y0)) != X5) | ((^[Y0 : iS]: (Y0)) != X4) | (((sK2 @ X0 @ X1 @ X2)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ (X4 @ Y0) @ (X5 @ Y0)))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X8) @ X8 @ X8)) = $true) | ((^[Y0 : iS]: (Y0)) != X7)) )),
% 2.52/0.70 inference(equality_resolution,[],[f293])).
% 2.52/0.70 thf(f297,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : (iS > iS),X4 : (iS > iS),X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X8) @ X8 @ X8)) = $true) | ((^[Y0 : iS]: (Y0)) != X3) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ (X4 @ Y0) @ (X5 @ Y0)))) | (((sK2 @ X0 @ X1 @ X2)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((sK2 @ X6 @ X6 @ X6)) = $true) | ((^[Y0 : iS]: (Y0)) != X7) | ((^[Y0 : iS]: (Y0)) != X4) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ c0)) != $true) | ((^[Y0 : iS]: (Y0)) != X5)) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f294])).
% 2.52/0.70 thf(f298,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : (iS > iS),X4 : (iS > iS),X5 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X7) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK2 @ X6 @ X6 @ X6)) = $true) | ((^[Y0 : iS]: (Y0)) != X4) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ (X4 @ Y0) @ (X5 @ Y0)))) | (((sK2 @ X0 @ X1 @ X2)) != $true) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X8 @ X8 @ X8)) = $true) | (((sK2 @ c0 @ c0 @ c0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0)) )),
% 2.52/0.70 inference(beta-eta_normalization,[],[f297])).
% 2.52/0.70 thf(f299,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : (iS > iS),X4 : (iS > iS),X5 : (iS > iS)] : ((((sK2 @ X0 @ X1 @ X2)) != $true) | ($true != $true) | (((sK2 @ X8 @ X8 @ X8)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK2 @ X6 @ X6 @ X6)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (Y0)) != X4) | ((^[Y0 : iS]: (Y0)) != X3) | ((^[Y0 : iS]: (Y0)) != X7) | ((^[Y0 : iS]: (Y0)) != X5) | ((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ (X4 @ Y0) @ (X5 @ Y0)))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2)) )),
% 2.52/0.70 inference(forward_demodulation,[],[f298,f28])).
% 2.52/0.70 thf(f300,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : (iS > iS),X4 : (iS > iS),X5 : (iS > iS)] : (((^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)) != (^[Y0 : iS]: (sK2 @ (X3 @ Y0) @ (X4 @ Y0) @ (X5 @ Y0)))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (Y0)) != X7) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK2 @ X0 @ X1 @ X2)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (Y0)) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X6 @ X6 @ X6)) = $true) | (((sK2 @ X8 @ X8 @ X8)) = $true)) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f299])).
% 2.52/0.70 thf(f304,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X6 : iS,X4 : (iS > iS),X5 : iS] : ((((sK2 @ X2 @ X3 @ X0)) != $true) | ((^[Y0 : iS]: (Y0)) != X4) | ((^[Y0 : iS]: (Y0)) != X4) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK2 @ X6 @ X6 @ X6)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ($true = ((sK2 @ X5 @ X5 @ X5))) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0)) )),
% 2.52/0.70 inference(equality_resolution,[],[f300])).
% 2.52/0.70 thf(f309,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X6 : iS,X4 : (iS > iS),X5 : iS] : ((((sK2 @ X2 @ X3 @ X0)) != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ($true = ((sK2 @ X5 @ X5 @ X5))) | ((^[Y0 : iS]: (Y0)) != X1) | ((^[Y0 : iS]: (Y0)) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK2 @ X6 @ X6 @ X6)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0)) )),
% 2.52/0.70 inference(duplicate_literal_removal,[],[f304])).
% 2.52/0.70 thf(f310,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X6 : iS,X4 : (iS > iS),X5 : iS] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X3) | (((sK2 @ X2 @ X3 @ X0)) != $true) | ((^[Y0 : iS]: (Y0)) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X1) | ($true = ((sK2 @ X5 @ X5 @ X5))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X2) | (((sK2 @ X6 @ X6 @ X6)) = $true)) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f309])).
% 2.52/0.70 thf(f311,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS,X4 : iS,X5 : iS] : (($true != ((sK2 @ X0 @ (sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0))) @ X1))) | ($true = ((sK2 @ X5 @ X5 @ X5))) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((sK2 @ X4 @ X4 @ X4)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (Y0)) != X3)) )),
% 2.52/0.70 inference(equality_resolution,[],[f310])).
% 2.52/0.70 thf(f315,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : (iS > iS),X4 : iS,X5 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X5) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | (((X2 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ Y0 @ (X3 @ Y0)))))) != X0) | ($true != (((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X3 @ Y0))) @ c0))) | ((^[Y0 : iS]: (Y0)) != X3) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X3 @ Y0))) @ X8)) = $true) | (((X3 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ Y0 @ (X3 @ Y0)))))) != X1) | ((^[Y0 : iS]: (Y0)) != X7) | (((sK2 @ X4 @ X4 @ X4)) = $true) | (((sK2 @ X6 @ X6 @ X6)) = $true) | ($true != $true) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1)) )),
% 2.52/0.70 inference(constrained_superposition,[],[f311,f15])).
% 2.52/0.70 thf(f322,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : (iS > iS),X4 : iS,X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X7) | (((X3 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ Y0 @ (X3 @ Y0)))))) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X3 @ Y0))) @ X8)) = $true) | ((^[Y0 : iS]: (Y0)) != X5) | ($true != (((^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ ((^[Y1 : iS]: (Y1)) @ Y0) @ (X3 @ Y0))) @ c0))) | (((sK2 @ X4 @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (Y0)) != X3) | (((X2 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ Y0 @ (X3 @ Y0)))))) != X0) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK2 @ X6 @ X6 @ X6)) = $true)) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f315])).
% 2.52/0.70 thf(f323,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS,X8 : iS,X6 : iS,X7 : (iS > iS),X4 : iS,X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X1) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ (X2 @ X8) @ X8 @ (X3 @ X8))) = $true) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK2 @ X4 @ X4 @ X4)) = $true) | (((sK2 @ (X2 @ c0) @ c0 @ (X3 @ c0))) != $true) | ((^[Y0 : iS]: (Y0)) != X7) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X0) | ((^[Y0 : iS]: (Y0)) != X2) | (((sK2 @ X6 @ X6 @ X6)) = $true) | (((X2 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ Y0 @ (X3 @ Y0)))))) != X0) | (((X3 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X2 @ Y0) @ Y0 @ (X3 @ Y0)))))) != X1)) )),
% 2.52/0.70 inference(beta-eta_normalization,[],[f322])).
% 2.52/0.70 thf(f333,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : (iS > iS),X0 : (iS > iS),X1 : (iS > iS),X6 : iS,X7 : iS,X4 : iS,X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != ((X0 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X1 @ Y0) @ Y0 @ (X0 @ Y0))))))) | ((^[Y0 : iS]: (Y0)) != X1) | ($true = ((sK2 @ X7 @ X7 @ X7))) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ (X1 @ c0) @ c0 @ (X0 @ c0))) != $true) | (((sK2 @ X4 @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (Y0)) != X0) | (((sK2 @ (X1 @ X2) @ X2 @ (X0 @ X2))) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X6) | ((^[Y0 : iS]: (Y0)) != X5) | (((X1 @ (sK0 @ (^[Y0 : iS]: (sK2 @ (X1 @ Y0) @ Y0 @ (X0 @ Y0)))))) != X6)) )),
% 2.52/0.70 inference(equality_resolution,[],[f323])).
% 2.52/0.70 thf(f334,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS,X5 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X1) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK2 @ X0 @ X0 @ X0)) = $true) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ((^[Y0 : iS]: (Y0)) != X5) | ($true = ((sK2 @ X2 @ X2 @ X2))) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0))) != $true) | ((((^[Y0 : iS]: (Y0)) @ (sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0)))))) != X4) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X3) @ X3 @ ((^[Y0 : iS]: (Y0)) @ X3))) = $true)) )),
% 2.52/0.70 inference(equality_resolution,[],[f333])).
% 2.52/0.70 thf(f337,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS,X5 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0))) != $true) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X3) @ X3 @ ((^[Y0 : iS]: (Y0)) @ X3))) = $true) | ($true = ((sK2 @ X2 @ X2 @ X2))) | (((sK2 @ X0 @ X0 @ X0)) = $true) | ((^[Y0 : iS]: (Y0)) != X5) | ((^[Y0 : iS]: (Y0)) != (^[Y0 : iS]: (Y0))) | ((((^[Y0 : iS]: (Y0)) @ (sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0)))))) != X4)) )),
% 2.52/0.70 inference(duplicate_literal_removal,[],[f334])).
% 2.52/0.70 thf(f338,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS,X5 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X5) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ c0) @ c0 @ ((^[Y0 : iS]: (Y0)) @ c0))) != $true) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK2 @ ((^[Y0 : iS]: (Y0)) @ X3) @ X3 @ ((^[Y0 : iS]: (Y0)) @ X3))) = $true) | ($true = ((sK2 @ X2 @ X2 @ X2))) | ((((^[Y0 : iS]: (Y0)) @ (sK0 @ (^[Y0 : iS]: (sK2 @ ((^[Y1 : iS]: (Y1)) @ Y0) @ Y0 @ ((^[Y1 : iS]: (Y1)) @ Y0)))))) != X4) | (((sK2 @ X0 @ X0 @ X0)) = $true)) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f337])).
% 2.52/0.70 thf(f339,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS,X5 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X1) | (((sK2 @ X0 @ X0 @ X0)) = $true) | (((sK2 @ c0 @ c0 @ c0)) != $true) | ($true = ((sK2 @ X2 @ X2 @ X2))) | (((sK2 @ X3 @ X3 @ X3)) = $true) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4)) )),
% 2.52/0.70 inference(beta-eta_normalization,[],[f338])).
% 2.52/0.70 thf(f340,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS,X5 : (iS > iS)] : ((((sK2 @ X0 @ X0 @ X0)) = $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ($true = ((sK2 @ X2 @ X2 @ X2))) | (((sK2 @ X3 @ X3 @ X3)) = $true) | ((^[Y0 : iS]: (Y0)) != X5) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK2 @ c0 @ c0 @ c0)) != $true)) )),
% 2.52/0.70 inference(duplicate_literal_removal,[],[f339])).
% 2.52/0.70 thf(f341,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS,X5 : (iS > iS)] : ((((sK2 @ X0 @ X0 @ X0)) = $true) | ((^[Y0 : iS]: (Y0)) != X5) | (((sK2 @ X3 @ X3 @ X3)) = $true) | ($true != $true) | (((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ($true = ((sK2 @ X2 @ X2 @ X2))) | ((^[Y0 : iS]: (Y0)) != X1)) )),
% 2.52/0.70 inference(forward_demodulation,[],[f340,f28])).
% 2.52/0.70 thf(f342,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : iS,X0 : iS,X1 : (iS > iS),X4 : iS,X5 : (iS > iS)] : ((((sK0 @ (^[Y0 : iS]: (sK2 @ Y0 @ Y0 @ Y0)))) != X4) | ((^[Y0 : iS]: (Y0)) != X1) | (((sK2 @ X0 @ X0 @ X0)) = $true) | (((sK2 @ X3 @ X3 @ X3)) = $true) | ((^[Y0 : iS]: (Y0)) != X5) | ($true = ((sK2 @ X2 @ X2 @ X2)))) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f341])).
% 2.52/0.70 thf(f358,plain,(
% 2.52/0.70 ( ! [X2 : iS,X3 : (iS > iS),X0 : (iS > iS),X1 : iS,X4 : iS] : (($true = ((sK2 @ X2 @ X2 @ X2))) | (((sK2 @ X4 @ X4 @ X4)) = $true) | ((^[Y0 : iS]: (Y0)) != X0) | ((^[Y0 : iS]: (Y0)) != X3) | (((sK2 @ X1 @ X1 @ X1)) = $true)) )),
% 2.52/0.70 inference(equality_resolution,[],[f342])).
% 2.52/0.70 thf(f368,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS] : ((((sK2 @ X0 @ X0 @ X0)) = $true) | ($true != $true) | (((sK2 @ X1 @ X1 @ X1)) = $true) | ((^[Y0 : iS]: (Y0)) != X2) | ((^[Y0 : iS]: (Y0)) != X3)) )),
% 2.52/0.70 inference(equality_factoring,[],[f358])).
% 2.52/0.70 thf(f379,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X3 : (iS > iS),X0 : iS,X1 : iS] : ((((sK2 @ X1 @ X1 @ X1)) = $true) | (((sK2 @ X0 @ X0 @ X0)) = $true) | ((^[Y0 : iS]: (Y0)) != X2) | ((^[Y0 : iS]: (Y0)) != X3)) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f368])).
% 2.52/0.70 thf(f394,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X0 : iS,X1 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X1) | ((^[Y0 : iS]: (Y0)) != X2) | ($true != $true) | (((sK2 @ X0 @ X0 @ X0)) = $true)) )),
% 2.52/0.70 inference(equality_factoring,[],[f379])).
% 2.52/0.70 thf(f403,plain,(
% 2.52/0.70 ( ! [X2 : (iS > iS),X0 : iS,X1 : (iS > iS)] : ((((sK2 @ X0 @ X0 @ X0)) = $true) | ((^[Y0 : iS]: (Y0)) != X2) | ((^[Y0 : iS]: (Y0)) != X1)) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f394])).
% 2.52/0.70 thf(f435,plain,(
% 2.52/0.70 ( ! [X0 : (iS > iS),X1 : (iS > iS)] : (($true != $true) | ((^[Y0 : iS]: (Y0)) != X0) | ((^[Y0 : iS]: (Y0)) != X1)) )),
% 2.52/0.70 inference(constrained_superposition,[],[f76,f403])).
% 2.52/0.70 thf(f454,plain,(
% 2.52/0.70 ( ! [X0 : (iS > iS),X1 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X1) | ((^[Y0 : iS]: (Y0)) != X0)) )),
% 2.52/0.70 inference(trivial_inequality_removal,[],[f435])).
% 2.52/0.70 thf(f456,plain,(
% 2.52/0.70 ( ! [X0 : (iS > iS)] : (((^[Y0 : iS]: (Y0)) != X0)) )),
% 2.52/0.70 inference(equality_resolution,[],[f454])).
% 2.52/0.70 thf(f459,plain,(
% 2.52/0.70 $false),
% 2.52/0.70 inference(equality_resolution,[],[f456])).
% 2.52/0.70 % SZS output end Proof for theBenchmark
% 2.52/0.70 % (2798110)------------------------------
% 2.52/0.70 % (2798110)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.70 % (2798110)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.70 % (2798110)CaDiCaL version: 2.1.3
% 2.52/0.70 % (2798110)Termination reason: Refutation
% 2.52/0.70 % (2798110)Time elapsed: 0.059 s
% 2.52/0.70 % (2798110)Peak memory usage: 13 MB
% 2.52/0.70 % (2798110)Instructions burned: 123 (million)
% 2.52/0.70 % (2797916)Success in time 0.444 s
% 2.52/0.70 % Vampire exiting
%------------------------------------------------------------------------------