%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP143^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 08:08:32 AM UTC 2026
% Result : Theorem 6.42s 1.36s
% Output : Refutation 6.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP143^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n018.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:02:12 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.22/0.29 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.28/0.46 % (572436)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.28/0.46 % (572441)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1348918393:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.28/0.46 % (572447)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.28/0.46 % (572447)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
% 0.28/0.46 % (572442)lrs+10_16_si=on:nwc=1.5:random_seed=1248905538:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.28/0.46 % (572444)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=2574747313: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)
% 0.28/0.46 % (572443)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3196453591:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.28/0.46 % (572445)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1816357047:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.28/0.46 % (572447)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=3737548435:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.28/0.46 % (572443)Instruction limit reached!
% 0.28/0.46 % (572443)------------------------------
% 0.28/0.46 % (572443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (572443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (572443)CaDiCaL version: 2.1.3
% 0.28/0.46 % (572443)Termination reason: Instruction limit
% 0.28/0.46 % (572443)Termination phase: shuffling
% 0.28/0.46 % (572443)Time elapsed: 0.003 s
% 0.28/0.46 % (572443)Peak memory usage: 10 MB
% 0.28/0.46 % (572443)Instructions burned: 6 (million)
% 0.28/0.46 % (572442)Instruction limit reached!
% 0.28/0.46 % (572442)------------------------------
% 0.28/0.46 % (572442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (572442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (572442)CaDiCaL version: 2.1.3
% 0.28/0.46 % (572442)Termination reason: Instruction limit
% 0.28/0.46 % (572442)Termination phase: shuffling
% 0.28/0.46 % (572442)Time elapsed: 0.009 s
% 0.28/0.46 % (572442)Peak memory usage: 10 MB
% 0.28/0.46 % (572442)Instructions burned: 20 (million)
% 0.28/0.46 % (572445)Instruction limit reached!
% 0.28/0.46 % (572445)------------------------------
% 0.28/0.46 % (572445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (572445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (572445)CaDiCaL version: 2.1.3
% 0.28/0.46 % (572445)Termination reason: Instruction limit
% 0.28/0.46 % (572445)Termination phase: shuffling
% 0.28/0.46 % (572445)Time elapsed: 0.011 s
% 0.28/0.46 % (572445)Peak memory usage: 10 MB
% 0.28/0.46 % (572445)Instructions burned: 25 (million)
% 0.28/0.46 % (572446)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3210764776:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.28/0.46 % (572441)Instruction limit reached!
% 0.28/0.46 % (572441)------------------------------
% 0.28/0.46 % (572441)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (572441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/0.46 % (572441)CaDiCaL version: 2.1.3
% 0.28/0.46 % (572441)Termination reason: Instruction limit
% 0.28/0.46 % (572441)Termination phase: Preprocessing 3
% 0.28/0.46 % (572441)Time elapsed: 0.023 s
% 0.28/0.46 % (572441)Peak memory usage: 12 MB
% 0.28/0.46 % (572441)Instructions burned: 89 (million)
% 0.28/0.46 % (572454)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3046082228:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.28/0.46 % (572454)Instruction limit reached!
% 0.28/0.46 % (572454)------------------------------
% 0.28/0.46 % (572454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.28/0.46 % (572454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49 % (572454)CaDiCaL version: 2.1.3
% 1.08/0.49 % (572454)Termination reason: Instruction limit
% 1.08/0.49 % (572454)Termination phase: shuffling
% 1.08/0.49 % (572454)Time elapsed: 0.002 s
% 1.08/0.49 % (572454)Peak memory usage: 10 MB
% 1.08/0.49 % (572454)Instructions burned: 3 (million)
% 1.08/0.49 % (572458)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2174939735:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.08/0.49 % (572456)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.08/0.49 % (572455)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=801624547:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.08/0.49 % (572456)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2189212624:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.08/0.49 % (572458)Instruction limit reached!
% 1.08/0.49 % (572458)------------------------------
% 1.08/0.49 % (572458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49 % (572458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49 % (572458)CaDiCaL version: 2.1.3
% 1.08/0.49 % (572458)Termination reason: Instruction limit
% 1.08/0.49 % (572458)Termination phase: shuffling
% 1.08/0.49 % (572458)Time elapsed: 0.004 s
% 1.08/0.49 % (572458)Peak memory usage: 10 MB
% 1.08/0.49 % (572458)Instructions burned: 16 (million)
% 1.08/0.49 % (572455)Instruction limit reached!
% 1.08/0.49 % (572455)------------------------------
% 1.08/0.49 % (572455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49 % (572455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49 % (572455)CaDiCaL version: 2.1.3
% 1.08/0.49 % (572455)Termination reason: Instruction limit
% 1.08/0.49 % (572455)Termination phase: shuffling
% 1.08/0.49 % (572455)Time elapsed: 0.003 s
% 1.08/0.49 % (572455)Peak memory usage: 10 MB
% 1.08/0.49 % (572455)Instructions burned: 5 (million)
% 1.08/0.49 % (572456)Instruction limit reached!
% 1.08/0.49 % (572456)------------------------------
% 1.08/0.49 % (572456)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49 % (572456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49 % (572456)CaDiCaL version: 2.1.3
% 1.08/0.49 % (572456)Termination reason: Instruction limit
% 1.08/0.49 % (572456)Termination phase: shuffling
% 1.08/0.49 % (572456)Time elapsed: 0.004 s
% 1.08/0.49 % (572456)Peak memory usage: 10 MB
% 1.08/0.49 % (572456)Instructions burned: 8 (million)
% 1.08/0.49 % (572460)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
% 1.08/0.49 % (572460)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.08/0.49 % (572464)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=1008172798:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.08/0.49 % (572460)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=517424403:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.08/0.49 % (572466)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.08/0.49 % (572465)lrs+10_1_si=on:cs=on:random_seed=4133297064:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.08/0.49 % (572466)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=917944283:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.08/0.49 % (572465)Instruction limit reached!
% 1.08/0.49 % (572465)------------------------------
% 1.08/0.49 % (572465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.49 % (572465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.49 % (572465)CaDiCaL version: 2.1.3
% 1.08/0.52 % (572465)Termination reason: Instruction limit
% 1.08/0.52 % (572465)Termination phase: shuffling
% 1.08/0.52 % (572465)Time elapsed: 0.004 s
% 1.08/0.52 % (572465)Peak memory usage: 10 MB
% 1.08/0.52 % (572465)Instructions burned: 8 (million)
% 1.08/0.52 % (572466)Instruction limit reached!
% 1.08/0.52 % (572466)------------------------------
% 1.08/0.52 % (572466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (572466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (572466)CaDiCaL version: 2.1.3
% 1.08/0.52 % (572466)Termination reason: Instruction limit
% 1.08/0.52 % (572466)Termination phase: shuffling
% 1.08/0.52 % (572466)Time elapsed: 0.002 s
% 1.08/0.52 % (572466)Peak memory usage: 10 MB
% 1.08/0.52 % (572466)Instructions burned: 3 (million)
% 1.08/0.52 % (572460)Instruction limit reached!
% 1.08/0.52 % (572460)------------------------------
% 1.08/0.52 % (572460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (572460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (572460)CaDiCaL version: 2.1.3
% 1.08/0.52 % (572460)Termination reason: Instruction limit
% 1.08/0.52 % (572460)Termination phase: shuffling
% 1.08/0.52 % (572460)Time elapsed: 0.017 s
% 1.08/0.52 % (572460)Peak memory usage: 10 MB
% 1.08/0.52 % (572460)Instructions burned: 37 (million)
% 1.08/0.52 % (572464)Instruction limit reached!
% 1.08/0.52 % (572464)------------------------------
% 1.08/0.52 % (572464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (572464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (572464)CaDiCaL version: 2.1.3
% 1.08/0.52 % (572464)Termination reason: Instruction limit
% 1.08/0.52 % (572464)Termination phase: Property scanning
% 1.08/0.52 % (572464)Time elapsed: 0.020 s
% 1.08/0.52 % (572464)Peak memory usage: 11 MB
% 1.08/0.52 % (572464)Instructions burned: 86 (million)
% 1.08/0.52 % (572447)Instruction limit reached!
% 1.08/0.52 % (572447)------------------------------
% 1.08/0.52 % (572447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (572447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (572447)CaDiCaL version: 2.1.3
% 1.08/0.52 % (572447)Termination reason: Instruction limit
% 1.08/0.52 % (572447)Termination phase: Saturation
% 1.08/0.52 % (572447)Time elapsed: 0.072 s
% 1.08/0.52 % (572447)Peak memory usage: 14 MB
% 1.08/0.52 % (572447)Instructions burned: 157 (million)
% 1.08/0.52 % (572474)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=395396489:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.08/0.52 % (572446)Instruction limit reached!
% 1.08/0.52 % (572446)------------------------------
% 1.08/0.52 % (572446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (572446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (572446)CaDiCaL version: 2.1.3
% 1.08/0.52 % (572446)Termination reason: Instruction limit
% 1.08/0.52 % (572446)Termination phase: Preprocessing 3
% 1.08/0.52 % (572446)Time elapsed: 0.062 s
% 1.08/0.52 % (572446)Peak memory usage: 11 MB
% 1.08/0.52 % (572446)Instructions burned: 75 (million)
% 1.08/0.52 % (572471)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3796119553:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.08/0.52 % (572472)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=958606156:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.08/0.52 % (572474)Instruction limit reached!
% 1.08/0.52 % (572474)------------------------------
% 1.08/0.52 % (572474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.52 % (572474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.52 % (572474)CaDiCaL version: 2.1.3
% 1.08/0.52 % (572474)Termination reason: Instruction limit
% 1.08/0.52 % (572474)Termination phase: shuffling
% 1.08/0.52 % (572474)Time elapsed: 0.004 s
% 1.08/0.52 % (572474)Peak memory usage: 10 MB
% 1.08/0.52 % (572474)Instructions burned: 17 (million)
% 1.08/0.52 % (572473)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1296265782:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.08/0.52 % (572480)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=907340419: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)
% 1.08/0.59 % (572475)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=521339356:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.08/0.59 % (572473)Instruction limit reached!
% 1.08/0.59 % (572473)------------------------------
% 1.08/0.59 % (572473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.59 % (572473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.59 % (572473)CaDiCaL version: 2.1.3
% 1.08/0.59 % (572473)Termination reason: Instruction limit
% 1.08/0.59 % (572473)Termination phase: shuffling
% 1.08/0.59 % (572473)Time elapsed: 0.011 s
% 1.08/0.59 % (572473)Peak memory usage: 10 MB
% 1.08/0.59 % (572473)Instructions burned: 25 (million)
% 1.08/0.59 % (572480)Instruction limit reached!
% 1.08/0.59 % (572480)------------------------------
% 1.08/0.59 % (572480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.59 % (572480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.59 % (572480)CaDiCaL version: 2.1.3
% 1.08/0.59 % (572480)Termination reason: Instruction limit
% 1.08/0.59 % (572480)Termination phase: shuffling
% 1.08/0.59 % (572480)Time elapsed: 0.002 s
% 1.08/0.59 % (572480)Peak memory usage: 10 MB
% 1.08/0.59 % (572480)Instructions burned: 11 (million)
% 1.08/0.59 % (572471)Instruction limit reached!
% 1.08/0.59 % (572471)------------------------------
% 1.08/0.59 % (572471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.59 % (572471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.59 % (572471)CaDiCaL version: 2.1.3
% 1.08/0.59 % (572471)Termination reason: Instruction limit
% 1.08/0.59 % (572471)Termination phase: Property scanning
% 1.08/0.59 % (572471)Time elapsed: 0.018 s
% 1.08/0.59 % (572471)Peak memory usage: 10 MB
% 1.08/0.59 % (572471)Instructions burned: 40 (million)
% 1.08/0.59 % (572478)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3437459394:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.08/0.59 % (572478)Instruction limit reached!
% 1.08/0.59 % (572478)------------------------------
% 1.08/0.59 % (572478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.59 % (572478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.59 % (572478)CaDiCaL version: 2.1.3
% 1.08/0.59 % (572478)Termination reason: Instruction limit
% 1.08/0.59 % (572478)Termination phase: shuffling
% 1.08/0.59 % (572478)Time elapsed: 0.007 s
% 1.08/0.59 % (572478)Peak memory usage: 10 MB
% 1.08/0.59 % (572478)Instructions burned: 14 (million)
% 1.08/0.59 % (572485)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3388134651:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.08/0.59 % (572485)Instruction limit reached!
% 1.08/0.59 % (572485)------------------------------
% 1.08/0.59 % (572485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.08/0.59 % (572485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.08/0.59 % (572485)CaDiCaL version: 2.1.3
% 1.08/0.59 % (572485)Termination reason: Instruction limit
% 1.08/0.59 % (572485)Termination phase: shuffling
% 1.08/0.59 % (572485)Time elapsed: 0.006 s
% 1.08/0.59 % (572485)Peak memory usage: 10 MB
% 1.08/0.59 % (572485)Instructions burned: 27 (million)
% 1.08/0.59 % (572484)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1096196725:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.08/0.59 % (572487)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4037199513:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.08/0.59 % (572488)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
% 1.08/0.59 % (572488)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.08/0.59 % (572488)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=1861623111:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.07/0.65 % (572491)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.07/0.65 % (572491)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=1825976408:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.07/0.65 % (572484)Instruction limit reached!
% 2.07/0.65 % (572484)------------------------------
% 2.07/0.65 % (572484)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.65 % (572484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.65 % (572484)CaDiCaL version: 2.1.3
% 2.07/0.65 % (572484)Termination reason: Instruction limit
% 2.07/0.65 % (572484)Termination phase: shuffling
% 2.07/0.65 % (572484)Time elapsed: 0.013 s
% 2.07/0.65 % (572484)Peak memory usage: 10 MB
% 2.07/0.65 % (572484)Instructions burned: 28 (million)
% 2.07/0.65 % (572491)Instruction limit reached!
% 2.07/0.65 % (572491)------------------------------
% 2.07/0.65 % (572491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.65 % (572491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.65 % (572491)CaDiCaL version: 2.1.3
% 2.07/0.65 % (572491)Termination reason: Instruction limit
% 2.07/0.65 % (572491)Termination phase: shuffling
% 2.07/0.65 % (572491)Time elapsed: 0.002 s
% 2.07/0.65 % (572491)Peak memory usage: 10 MB
% 2.07/0.65 % (572491)Instructions burned: 9 (million)
% 2.07/0.65 % (572488)Instruction limit reached!
% 2.07/0.65 % (572488)------------------------------
% 2.07/0.65 % (572488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.65 % (572488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.65 % (572488)CaDiCaL version: 2.1.3
% 2.07/0.65 % (572488)Termination reason: Instruction limit
% 2.07/0.65 % (572488)Termination phase: shuffling
% 2.07/0.65 % (572488)Time elapsed: 0.008 s
% 2.07/0.65 % (572488)Peak memory usage: 10 MB
% 2.07/0.65 % (572488)Instructions burned: 17 (million)
% 2.07/0.65 % (572496)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2243469525:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.07/0.65 % (572496)Instruction limit reached!
% 2.07/0.65 % (572496)------------------------------
% 2.07/0.65 % (572496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.65 % (572496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.65 % (572496)CaDiCaL version: 2.1.3
% 2.07/0.65 % (572496)Termination reason: Instruction limit
% 2.07/0.65 % (572496)Termination phase: shuffling
% 2.07/0.65 % (572496)Time elapsed: 0.002 s
% 2.07/0.65 % (572496)Peak memory usage: 10 MB
% 2.07/0.65 % (572496)Instructions burned: 8 (million)
% 2.07/0.65 % (572487)Instruction limit reached!
% 2.07/0.65 % (572487)------------------------------
% 2.07/0.65 % (572487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.65 % (572487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.65 % (572487)CaDiCaL version: 2.1.3
% 2.07/0.65 % (572487)Termination reason: Instruction limit
% 2.07/0.65 % (572487)Termination phase: Preprocessing 3
% 2.07/0.65 % (572487)Time elapsed: 0.027 s
% 2.07/0.65 % (572487)Peak memory usage: 11 MB
% 2.07/0.65 % (572487)Instructions burned: 61 (million)
% 2.07/0.65 % (572495)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=856966731:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.07/0.65 % (572497)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=653698922:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.07/0.65 % (572499)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=711467999:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.07/0.65 % (572499)Instruction limit reached!
% 2.07/0.65 % (572499)------------------------------
% 2.07/0.65 % (572499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.07/0.65 % (572499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.07/0.65 % (572499)CaDiCaL version: 2.1.3
% 2.07/0.65 % (572499)Termination reason: Instruction limit
% 2.07/0.65 % (572499)Termination phase: shuffling
% 2.07/0.65 % (572499)Time elapsed: 0.005 s
% 2.07/0.65 % (572499)Peak memory usage: 10 MB
% 2.50/0.73 % (572499)Instructions burned: 22 (million)
% 2.50/0.73 % (572495)Instruction limit reached!
% 2.50/0.73 % (572495)------------------------------
% 2.50/0.73 % (572495)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.73 % (572495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.73 % (572495)CaDiCaL version: 2.1.3
% 2.50/0.73 % (572495)Termination reason: Instruction limit
% 2.50/0.73 % (572495)Termination phase: shuffling
% 2.50/0.73 % (572495)Time elapsed: 0.015 s
% 2.50/0.73 % (572495)Peak memory usage: 10 MB
% 2.50/0.73 % (572495)Instructions burned: 33 (million)
% 2.50/0.73 % (572500)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1962085929:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.50/0.73 % (572497)Instruction limit reached!
% 2.50/0.73 % (572497)------------------------------
% 2.50/0.73 % (572497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.73 % (572497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.73 % (572497)CaDiCaL version: 2.1.3
% 2.50/0.73 % (572497)Termination reason: Instruction limit
% 2.50/0.73 % (572497)Termination phase: shuffling
% 2.50/0.73 % (572497)Time elapsed: 0.011 s
% 2.50/0.73 % (572497)Peak memory usage: 10 MB
% 2.50/0.73 % (572497)Instructions burned: 24 (million)
% 2.50/0.73 % (572504)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2727920278:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.50/0.73 % (572505)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=2979386480:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.50/0.73 % (572507)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1209480054:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.50/0.73 % (572507)Instruction limit reached!
% 2.50/0.73 % (572507)------------------------------
% 2.50/0.73 % (572507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.73 % (572507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.73 % (572507)CaDiCaL version: 2.1.3
% 2.50/0.73 % (572507)Termination reason: Instruction limit
% 2.50/0.73 % (572507)Termination phase: Property scanning
% 2.50/0.73 % (572507)Time elapsed: 0.019 s
% 2.50/0.73 % (572507)Peak memory usage: 10 MB
% 2.50/0.73 % (572507)Instructions burned: 43 (million)
% 2.50/0.73 % (572504)Instruction limit reached!
% 2.50/0.73 % (572504)------------------------------
% 2.50/0.73 % (572504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.73 % (572504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.73 % (572504)CaDiCaL version: 2.1.3
% 2.50/0.73 % (572504)Termination reason: Instruction limit
% 2.50/0.73 % (572504)Termination phase: Saturation
% 2.50/0.73 % (572504)Time elapsed: 0.034 s
% 2.50/0.73 % (572504)Peak memory usage: 12 MB
% 2.50/0.73 % (572504)Instructions burned: 147 (million)
% 2.50/0.73 % (572472)Instruction limit reached!
% 2.50/0.73 % (572472)------------------------------
% 2.50/0.73 % (572472)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.73 % (572472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/0.73 % (572472)CaDiCaL version: 2.1.3
% 2.50/0.73 % (572472)Termination reason: Instruction limit
% 2.50/0.73 % (572472)Termination phase: Saturation
% 2.50/0.73 % (572472)Time elapsed: 0.127 s
% 2.50/0.73 % (572472)Peak memory usage: 14 MB
% 2.50/0.73 % (572472)Instructions burned: 249 (million)
% 2.50/0.73 % (572512)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2767062035:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.50/0.73 % (572511)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.50/0.73 % (572511)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1936596939:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.50/0.73 % (572511)Instruction limit reached!
% 2.50/0.73 % (572511)------------------------------
% 2.50/0.73 % (572511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.50/0.73 % (572511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.84 % (572511)CaDiCaL version: 2.1.3
% 2.98/0.84 % (572511)Termination reason: Instruction limit
% 2.98/0.84 % (572511)Termination phase: shuffling
% 2.98/0.84 % (572511)Time elapsed: 0.004 s
% 2.98/0.84 % (572511)Peak memory usage: 10 MB
% 2.98/0.84 % (572511)Instructions burned: 8 (million)
% 2.98/0.84 % (572513)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=1074985112: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)
% 2.98/0.84 % (572516)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.98/0.84 % (572516)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=1653938032:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.98/0.84 % (572516)Instruction limit reached!
% 2.98/0.84 % (572516)------------------------------
% 2.98/0.84 % (572516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.84 % (572516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.84 % (572516)CaDiCaL version: 2.1.3
% 2.98/0.84 % (572516)Termination reason: Instruction limit
% 2.98/0.84 % (572516)Termination phase: shuffling
% 2.98/0.84 % (572516)Time elapsed: 0.004 s
% 2.98/0.84 % (572516)Peak memory usage: 10 MB
% 2.98/0.84 % (572516)Instructions burned: 8 (million)
% 2.98/0.84 % (572475)Instruction limit reached!
% 2.98/0.84 % (572475)------------------------------
% 2.98/0.84 % (572475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.84 % (572475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.84 % (572475)CaDiCaL version: 2.1.3
% 2.98/0.84 % (572475)Termination reason: Instruction limit
% 2.98/0.84 % (572475)Termination phase: Saturation
% 2.98/0.84 % (572475)Time elapsed: 0.162 s
% 2.98/0.84 % (572475)Peak memory usage: 15 MB
% 2.98/0.84 % (572475)Instructions burned: 328 (million)
% 2.98/0.84 % (572512)Instruction limit reached!
% 2.98/0.84 % (572512)------------------------------
% 2.98/0.84 % (572512)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.84 % (572512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.84 % (572512)CaDiCaL version: 2.1.3
% 2.98/0.84 % (572512)Termination reason: Instruction limit
% 2.98/0.84 % (572512)Termination phase: Saturation
% 2.98/0.84 % (572512)Time elapsed: 0.049 s
% 2.98/0.84 % (572512)Peak memory usage: 15 MB
% 2.98/0.84 % (572512)Instructions burned: 183 (million)
% 2.98/0.84 % (572519)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=4185968930:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.98/0.84 % (572521)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=2177902679:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.98/0.84 % (572520)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=4107136607:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.98/0.84 % (572505)Instruction limit reached!
% 2.98/0.84 % (572505)------------------------------
% 2.98/0.84 % (572505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.84 % (572505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.84 % (572505)CaDiCaL version: 2.1.3
% 2.98/0.84 % (572505)Termination reason: Instruction limit
% 2.98/0.84 % (572505)Termination phase: Saturation
% 2.98/0.84 % (572505)Time elapsed: 0.097 s
% 2.98/0.84 % (572505)Peak memory usage: 14 MB
% 2.98/0.84 % (572505)Instructions burned: 193 (million)
% 2.98/0.84 % (572519)Instruction limit reached!
% 2.98/0.84 % (572519)------------------------------
% 2.98/0.84 % (572519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.98/0.84 % (572519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/0.84 % (572519)CaDiCaL version: 2.1.3
% 2.98/0.84 % (572519)Termination reason: Instruction limit
% 2.98/0.84 % (572519)Termination phase: shuffling
% 2.98/0.84 % (572519)Time elapsed: 0.012 s
% 2.98/0.84 % (572519)Peak memory usage: 11 MB
% 2.98/0.84 % (572519)Instructions burned: 23 (million)
% 2.98/0.84 % (572520)Instruction limit reached!
% 2.98/0.84 % (572520)------------------------------
% 2.98/0.84 % (572520)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.95 % (572520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.95 % (572520)CaDiCaL version: 2.1.3
% 3.50/0.95 % (572520)Termination reason: Instruction limit
% 3.50/0.95 % (572520)Termination phase: shuffling
% 3.50/0.95 % (572520)Time elapsed: 0.009 s
% 3.50/0.95 % (572520)Peak memory usage: 10 MB
% 3.50/0.95 % (572520)Instructions burned: 19 (million)
% 3.50/0.95 % (572525)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=3059052838: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)
% 3.50/0.95 % (572526)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=3882981411: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)
% 3.50/0.95 % (572527)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2082822522:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.50/0.95 % (572513)Instruction limit reached!
% 3.50/0.95 % (572513)------------------------------
% 3.50/0.95 % (572513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.95 % (572513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.95 % (572513)CaDiCaL version: 2.1.3
% 3.50/0.95 % (572513)Termination reason: Instruction limit
% 3.50/0.95 % (572513)Termination phase: Saturation
% 3.50/0.95 % (572513)Time elapsed: 0.081 s
% 3.50/0.95 % (572513)Peak memory usage: 14 MB
% 3.50/0.95 % (572513)Instructions burned: 169 (million)
% 3.50/0.95 % (572526)Instruction limit reached!
% 3.50/0.95 % (572526)------------------------------
% 3.50/0.95 % (572526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.95 % (572526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.95 % (572526)CaDiCaL version: 2.1.3
% 3.50/0.95 % (572526)Termination reason: Instruction limit
% 3.50/0.95 % (572526)Termination phase: shuffling
% 3.50/0.95 % (572526)Time elapsed: 0.020 s
% 3.50/0.95 % (572526)Peak memory usage: 11 MB
% 3.50/0.95 % (572526)Instructions burned: 47 (million)
% 3.50/0.95 % (572531)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2893405080: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)
% 3.50/0.95 % (572531)Instruction limit reached!
% 3.50/0.95 % (572531)------------------------------
% 3.50/0.95 % (572531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.95 % (572531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.95 % (572531)CaDiCaL version: 2.1.3
% 3.50/0.95 % (572531)Termination reason: Instruction limit
% 3.50/0.95 % (572531)Termination phase: shuffling
% 3.50/0.95 % (572531)Time elapsed: 0.010 s
% 3.50/0.95 % (572531)Peak memory usage: 10 MB
% 3.50/0.95 % (572531)Instructions burned: 22 (million)
% 3.50/0.95 % (572532)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.50/0.95 % (572532)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=2090989546:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.50/0.95 % (572534)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=495215039:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2995 on theBenchmark for (2995ds/13Mi)
% 3.50/0.95 % (572534)Instruction limit reached!
% 3.50/0.95 % (572534)------------------------------
% 3.50/0.95 % (572534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.95 % (572534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/0.95 % (572534)CaDiCaL version: 2.1.3
% 3.50/0.95 % (572534)Termination reason: Instruction limit
% 3.50/0.95 % (572534)Termination phase: shuffling
% 3.50/0.95 % (572534)Time elapsed: 0.006 s
% 3.50/0.95 % (572534)Peak memory usage: 10 MB
% 3.50/0.95 % (572534)Instructions burned: 13 (million)
% 3.50/0.95 % (572521)Instruction limit reached!
% 3.50/0.95 % (572521)------------------------------
% 3.50/0.95 % (572521)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.50/0.95 % (572521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.12 % (572521)CaDiCaL version: 2.1.3
% 5.01/1.12 % (572521)Termination reason: Instruction limit
% 5.01/1.12 % (572521)Termination phase: Saturation
% 5.01/1.12 % (572521)Time elapsed: 0.098 s
% 5.01/1.12 % (572521)Peak memory usage: 16 MB
% 5.01/1.12 % (572521)Instructions burned: 317 (million)
% 5.01/1.12 % (572537)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=1389157266:i=66:s2at=3:nm=2:rtra=on:rawr=on_2995 on theBenchmark for (2995ds/66Mi)
% 5.01/1.12 % (572538)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3141282783:i=51:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/51Mi)
% 5.01/1.12 % (572538)Instruction limit reached!
% 5.01/1.12 % (572538)------------------------------
% 5.01/1.12 % (572538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.12 % (572538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.12 % (572538)CaDiCaL version: 2.1.3
% 5.01/1.12 % (572538)Termination reason: Instruction limit
% 5.01/1.12 % (572538)Termination phase: Property scanning
% 5.01/1.12 % (572538)Time elapsed: 0.023 s
% 5.01/1.12 % (572538)Peak memory usage: 11 MB
% 5.01/1.12 % (572538)Instructions burned: 53 (million)
% 5.01/1.12 % (572537)Instruction limit reached!
% 5.01/1.12 % (572537)------------------------------
% 5.01/1.12 % (572537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.12 % (572537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.12 % (572537)CaDiCaL version: 2.1.3
% 5.01/1.12 % (572537)Termination reason: Instruction limit
% 5.01/1.12 % (572537)Termination phase: Property scanning
% 5.01/1.12 % (572537)Time elapsed: 0.030 s
% 5.01/1.12 % (572537)Peak memory usage: 11 MB
% 5.01/1.12 % (572537)Instructions burned: 66 (million)
% 5.01/1.12 % (572541)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=830059921:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/31Mi)
% 5.01/1.12 % (572542)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1801080860:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 5.01/1.12 % (572541)Instruction limit reached!
% 5.01/1.12 % (572541)------------------------------
% 5.01/1.12 % (572541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.12 % (572541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.12 % (572541)CaDiCaL version: 2.1.3
% 5.01/1.12 % (572541)Termination reason: Instruction limit
% 5.01/1.12 % (572541)Termination phase: shuffling
% 5.01/1.12 % (572541)Time elapsed: 0.016 s
% 5.01/1.12 % (572541)Peak memory usage: 10 MB
% 5.01/1.12 % (572541)Instructions burned: 33 (million)
% 5.01/1.12 % (572532)Instruction limit reached!
% 5.01/1.12 % (572532)------------------------------
% 5.01/1.12 % (572532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.12 % (572532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.12 % (572532)CaDiCaL version: 2.1.3
% 5.01/1.12 % (572532)Termination reason: Instruction limit
% 5.01/1.12 % (572532)Termination phase: Saturation
% 5.01/1.12 % (572532)Time elapsed: 0.113 s
% 5.01/1.12 % (572532)Peak memory usage: 14 MB
% 5.01/1.12 % (572532)Instructions burned: 201 (million)
% 5.01/1.12 % (572444)Instruction limit reached!
% 5.01/1.12 % (572444)------------------------------
% 5.01/1.12 % (572444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.01/1.12 % (572444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.01/1.12 % (572444)CaDiCaL version: 2.1.3
% 5.01/1.12 % (572444)Termination reason: Instruction limit
% 5.01/1.12 % (572444)Termination phase: Saturation
% 5.01/1.12 % (572444)Time elapsed: 0.466 s
% 5.01/1.12 % (572444)Peak memory usage: 16 MB
% 5.01/1.12 % (572444)Instructions burned: 635 (million)
% 5.01/1.12 % (572545)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3063593636:cond=on:i=34:hud=10:nm=10:rtra=on_2994 on theBenchmark for (2994ds/34Mi)
% 5.01/1.12 % (572547)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 5.01/1.12 % (572547)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=9068531:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2994 on theBenchmark for (2994ds/180Mi)
% 5.62/1.19 % (572546)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=3687862974:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2994 on theBenchmark for (2994ds/67Mi)
% 5.62/1.19 % (572545)Instruction limit reached!
% 5.62/1.19 % (572545)------------------------------
% 5.62/1.19 % (572545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.19 % (572545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.19 % (572545)CaDiCaL version: 2.1.3
% 5.62/1.19 % (572545)Termination reason: Instruction limit
% 5.62/1.19 % (572545)Termination phase: shuffling
% 5.62/1.19 % (572545)Time elapsed: 0.017 s
% 5.62/1.19 % (572545)Peak memory usage: 10 MB
% 5.62/1.19 % (572545)Instructions burned: 36 (million)
% 5.62/1.19 % (572542)Instruction limit reached!
% 5.62/1.19 % (572542)------------------------------
% 5.62/1.19 % (572542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.19 % (572542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.19 % (572542)CaDiCaL version: 2.1.3
% 5.62/1.20 % (572542)Termination reason: Instruction limit
% 5.62/1.20 % (572542)Termination phase: Property scanning
% 5.62/1.20 % (572542)Time elapsed: 0.062 s
% 5.62/1.20 % (572542)Peak memory usage: 12 MB
% 5.62/1.20 % (572542)Instructions burned: 138 (million)
% 5.62/1.20 % (572551)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2013176103:st=2:i=246:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/246Mi)
% 5.62/1.20 % (572546)Instruction limit reached!
% 5.62/1.20 % (572546)------------------------------
% 5.62/1.20 % (572546)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.20 % (572546)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.20 % (572546)CaDiCaL version: 2.1.3
% 5.62/1.20 % (572546)Termination reason: Instruction limit
% 5.62/1.20 % (572546)Termination phase: Preprocessing 3
% 5.62/1.20 % (572546)Time elapsed: 0.030 s
% 5.62/1.20 % (572546)Peak memory usage: 11 MB
% 5.62/1.20 % (572546)Instructions burned: 67 (million)
% 5.62/1.20 % (572552)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=2305971014:cond=on:i=96:bd=all:rtra=on_2994 on theBenchmark for (2994ds/96Mi)
% 5.62/1.20 % (572547)Instruction limit reached!
% 5.62/1.20 % (572547)------------------------------
% 5.62/1.20 % (572547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.20 % (572547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.20 % (572547)CaDiCaL version: 2.1.3
% 5.62/1.20 % (572547)Termination reason: Instruction limit
% 5.62/1.20 % (572547)Termination phase: Property scanning
% 5.62/1.20 % (572547)Time elapsed: 0.040 s
% 5.62/1.20 % (572547)Peak memory usage: 12 MB
% 5.62/1.20 % (572547)Instructions burned: 182 (million)
% 5.62/1.20 % (572556)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=753585689:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/874Mi)
% 5.62/1.20 % (572554)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2892681398:i=427:sd=1:rtra=on:ss=axioms_2994 on theBenchmark for (2994ds/427Mi)
% 5.62/1.20 % (572552)Instruction limit reached!
% 5.62/1.20 % (572552)------------------------------
% 5.62/1.20 % (572552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.20 % (572552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.20 % (572552)CaDiCaL version: 2.1.3
% 5.62/1.20 % (572552)Termination reason: Instruction limit
% 5.62/1.20 % (572552)Termination phase: Property scanning
% 5.62/1.20 % (572552)Time elapsed: 0.044 s
% 5.62/1.20 % (572552)Peak memory usage: 12 MB
% 5.62/1.20 % (572552)Instructions burned: 98 (million)
% 5.62/1.20 % (572527)Instruction limit reached!
% 5.62/1.20 % (572527)------------------------------
% 5.62/1.20 % (572527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.62/1.20 % (572527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.62/1.20 % (572527)CaDiCaL version: 2.1.3
% 5.62/1.20 % (572527)Termination reason: Instruction limit
% 5.62/1.20 % (572527)Termination phase: Saturation
% 5.62/1.20 % (572527)Time elapsed: 0.267 s
% 5.62/1.20 % (572527)Peak memory usage: 17 MB
% 5.62/1.20 % (572527)Instructions burned: 480 (million)
% 5.62/1.20 % (572559)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=60945584:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/515Mi)
% 5.62/1.20 % (572560)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=821892059:st=1.5:i=130:rtra=on:ss=axioms_2993 on theBenchmark for (2993ds/130Mi)
% 6.42/1.30 % (572551)Instruction limit reached!
% 6.42/1.30 % (572551)------------------------------
% 6.42/1.30 % (572551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.30 % (572551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.30 % (572551)CaDiCaL version: 2.1.3
% 6.42/1.30 % (572551)Termination reason: Instruction limit
% 6.42/1.30 % (572551)Termination phase: Saturation
% 6.42/1.30 % (572551)Time elapsed: 0.120 s
% 6.42/1.30 % (572551)Peak memory usage: 14 MB
% 6.42/1.30 % (572551)Instructions burned: 246 (million)
% 6.42/1.30 % (572500)Instruction limit reached!
% 6.42/1.30 % (572500)------------------------------
% 6.42/1.30 % (572500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.30 % (572500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.30 % (572500)CaDiCaL version: 2.1.3
% 6.42/1.30 % (572500)Termination reason: Instruction limit
% 6.42/1.30 % (572500)Termination phase: Saturation
% 6.42/1.30 % (572500)Time elapsed: 0.473 s
% 6.42/1.30 % (572500)Peak memory usage: 15 MB
% 6.42/1.30 % (572500)Instructions burned: 1243 (million)
% 6.42/1.30 % (572560)Instruction limit reached!
% 6.42/1.30 % (572560)------------------------------
% 6.42/1.30 % (572560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.30 % (572560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.30 % (572560)CaDiCaL version: 2.1.3
% 6.42/1.30 % (572560)Termination reason: Instruction limit
% 6.42/1.30 % (572560)Termination phase: Property scanning
% 6.42/1.30 % (572560)Time elapsed: 0.058 s
% 6.42/1.30 % (572560)Peak memory usage: 12 MB
% 6.42/1.30 % (572560)Instructions burned: 131 (million)
% 6.42/1.30 % (572564)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=2584055077:s2a=on:i=571:nm=16:rtra=on_2993 on theBenchmark for (2993ds/571Mi)
% 6.42/1.30 % (572563)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3187335463:i=44:ep=R:rtra=on:ntd=on_2993 on theBenchmark for (2993ds/44Mi)
% 6.42/1.30 % (572565)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=1036445538:i=450:rtra=on:ixr=off:ntd=on_2992 on theBenchmark for (2992ds/450Mi)
% 6.42/1.30 % (572563)Instruction limit reached!
% 6.42/1.30 % (572563)------------------------------
% 6.42/1.30 % (572563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.30 % (572563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.30 % (572563)CaDiCaL version: 2.1.3
% 6.42/1.30 % (572563)Termination reason: Instruction limit
% 6.42/1.30 % (572563)Termination phase: shuffling
% 6.42/1.30 % (572563)Time elapsed: 0.038 s
% 6.42/1.30 % (572563)Peak memory usage: 11 MB
% 6.42/1.30 % (572563)Instructions burned: 44 (million)
% 6.42/1.30 % (572569)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2908777596:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2992 on theBenchmark for (2992ds/95Mi)
% 6.42/1.30 % (572554)Instruction limit reached!
% 6.42/1.30 % (572554)------------------------------
% 6.42/1.30 % (572554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.30 % (572554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.30 % (572554)CaDiCaL version: 2.1.3
% 6.42/1.30 % (572554)Termination reason: Instruction limit
% 6.42/1.30 % (572554)Termination phase: Saturation
% 6.42/1.30 % (572554)Time elapsed: 0.210 s
% 6.42/1.30 % (572554)Peak memory usage: 17 MB
% 6.42/1.30 % (572554)Instructions burned: 428 (million)
% 6.42/1.30 % (572556)Instruction limit reached!
% 6.42/1.30 % (572556)------------------------------
% 6.42/1.30 % (572556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.30 % (572556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.30 % (572556)CaDiCaL version: 2.1.3
% 6.42/1.30 % (572556)Termination reason: Instruction limit
% 6.42/1.30 % (572556)Termination phase: Saturation
% 6.42/1.30 % (572556)Time elapsed: 0.225 s
% 6.42/1.30 % (572556)Peak memory usage: 17 MB
% 6.42/1.30 % (572556)Instructions burned: 875 (million)
% 6.42/1.30 % (572569)Instruction limit reached!
% 6.42/1.30 % (572569)------------------------------
% 6.42/1.30 % (572569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.30 % (572569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572569)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572569)Termination reason: Instruction limit
% 6.42/1.36 % (572569)Termination phase: Property scanning
% 6.42/1.36 % (572569)Time elapsed: 0.045 s
% 6.42/1.36 % (572569)Peak memory usage: 12 MB
% 6.42/1.36 % (572569)Instructions burned: 101 (million)
% 6.42/1.36 % (572571)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=3265201940:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2991 on theBenchmark for (2991ds/65Mi)
% 6.42/1.36 % (572572)dis+1010_2:1_slsqr=2,1:to=lpo:plsq=on:cnfonf=lazy_pi_sigma_gen:si=on:sp=reverse_arity:acc=on:uwa=hol:fd=preordered:s2agt=16:flr=on:pe=on:slsq=on:random_seed=3967070643:uwa_fpi=on:avsq=on:s2a=on:cond=fast:i=105:s2at=1.5:aac=none:fgj=on:piset=and:hud=3:fsr=off:rtra=on:er=filter:rawr=on_2991 on theBenchmark for (2991ds/105Mi)
% 6.42/1.36 % (572573)dis+10_4:1_sfv=off:to=kbo:fde=unused:cnfonf=off:sas=cadical:e2e=on:si=on:sp=occurrence:acc=on:uwa=off:fd=preordered:foolp=on:random_seed=2102270951:hsq=on:hsqr=16,1:s2a=on:i=5755:piset=or:nm=32:rtra=on:ss=axioms:c=on:sgt=8:rawr=on_2991 on theBenchmark for (2991ds/5755Mi)
% 6.42/1.36 % (572571)Instruction limit reached!
% 6.42/1.36 % (572571)------------------------------
% 6.42/1.36 % (572571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572571)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572571)Termination reason: Instruction limit
% 6.42/1.36 % (572571)Termination phase: Property scanning
% 6.42/1.36 % (572571)Time elapsed: 0.030 s
% 6.42/1.36 % (572571)Peak memory usage: 11 MB
% 6.42/1.36 % (572571)Instructions burned: 67 (million)
% 6.42/1.36 % (572525)Instruction limit reached!
% 6.42/1.36 % (572525)------------------------------
% 6.42/1.36 % (572525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572525)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572525)Termination reason: Instruction limit
% 6.42/1.36 % (572525)Termination phase: Saturation
% 6.42/1.36 % (572525)Time elapsed: 0.495 s
% 6.42/1.36 % (572525)Peak memory usage: 17 MB
% 6.42/1.36 % (572525)Instructions burned: 854 (million)
% 6.42/1.36 % (572572)Instruction limit reached!
% 6.42/1.36 % (572572)------------------------------
% 6.42/1.36 % (572572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572572)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572572)Termination reason: Instruction limit
% 6.42/1.36 % (572572)Termination phase: Preprocessing 1
% 6.42/1.36 % (572572)Time elapsed: 0.026 s
% 6.42/1.36 % (572572)Peak memory usage: 11 MB
% 6.42/1.36 % (572572)Instructions burned: 108 (million)
% 6.42/1.36 % (572578)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=819670058:s2a=on:i=495:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/495Mi)
% 6.42/1.36 % (572577)lrs+10_1_sil=128000:drc=off:si=on:fs=off:urr=on:uwa=one_side_constant:random_seed=2340044124:st=10:i=375:sd=1:bd=all:fsr=off:rtra=on:ss=axioms_2991 on theBenchmark for (2991ds/375Mi)
% 6.42/1.36 % (572579)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=2744023881:cond=on:i=34:hud=10:nm=10:rtra=on_2991 on theBenchmark for (2991ds/34Mi)
% 6.42/1.36 % (572579)Instruction limit reached!
% 6.42/1.36 % (572579)------------------------------
% 6.42/1.36 % (572579)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572579)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572579)Termination reason: Instruction limit
% 6.42/1.36 % (572579)Termination phase: shuffling
% 6.42/1.36 % (572579)Time elapsed: 0.016 s
% 6.42/1.36 % (572579)Peak memory usage: 10 MB
% 6.42/1.36 % (572579)Instructions burned: 35 (million)
% 6.42/1.36 % (572559)Instruction limit reached!
% 6.42/1.36 % (572559)------------------------------
% 6.42/1.36 % (572559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572559)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572559)Termination reason: Instruction limit
% 6.42/1.36 % (572559)Termination phase: Saturation
% 6.42/1.36 % (572559)Time elapsed: 0.251 s
% 6.42/1.36 % (572559)Peak memory usage: 17 MB
% 6.42/1.36 % (572559)Instructions burned: 515 (million)
% 6.42/1.36 % (572583)ott+1002_4_tgt=ground:si=on:tsa=off:nwc=1:random_seed=1265281244:s2a=on:i=91:piset=or:hud=5:rtra=on:fe=abstraction_2991 on theBenchmark for (2991ds/91Mi)
% 6.42/1.36 % (572584)dis+2_1_sil=128000:tgt=ground:e2e=on:si=on:sos=on:urr=on:uwa=off:nwc=2:random_seed=4023504223:i=66:sd=50:kws=inv_arity:bd=preordered:nm=64:rtra=on:ss=axioms:c=on:ntd=on_2991 on theBenchmark for (2991ds/66Mi)
% 6.42/1.36 % (572565)Instruction limit reached!
% 6.42/1.36 % (572565)------------------------------
% 6.42/1.36 % (572565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572565)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572565)Termination reason: Instruction limit
% 6.42/1.36 % (572565)Termination phase: Saturation
% 6.42/1.36 % (572565)Time elapsed: 0.199 s
% 6.42/1.36 % (572565)Peak memory usage: 14 MB
% 6.42/1.36 % (572565)Instructions burned: 452 (million)
% 6.42/1.36 % (572584)Instruction limit reached!
% 6.42/1.36 % (572584)------------------------------
% 6.42/1.36 % (572584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572584)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572584)Termination reason: Instruction limit
% 6.42/1.36 % (572584)Termination phase: Preprocessing 3
% 6.42/1.36 % (572584)Time elapsed: 0.030 s
% 6.42/1.36 % (572584)Peak memory usage: 11 MB
% 6.42/1.36 % (572584)Instructions burned: 67 (million)
% 6.42/1.36 % (572587)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=2323508062:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2990 on theBenchmark for (2990ds/22Mi)
% 6.42/1.36 % (572583)Instruction limit reached!
% 6.42/1.36 % (572583)------------------------------
% 6.42/1.36 % (572583)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572583)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572583)Termination reason: Instruction limit
% 6.42/1.36 % (572583)Termination phase: Preprocessing 3
% 6.42/1.36 % (572583)Time elapsed: 0.043 s
% 6.42/1.36 % (572583)Peak memory usage: 12 MB
% 6.42/1.36 % (572583)Instructions burned: 93 (million)
% 6.42/1.36 % (572587)Instruction limit reached!
% 6.42/1.36 % (572587)------------------------------
% 6.42/1.36 % (572587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572587)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572587)Termination reason: Instruction limit
% 6.42/1.36 % (572587)Termination phase: shuffling
% 6.42/1.36 % (572587)Time elapsed: 0.010 s
% 6.42/1.36 % (572587)Peak memory usage: 10 MB
% 6.42/1.36 % (572587)Instructions burned: 23 (million)
% 6.42/1.36 % (572588)lrs+21_16_anc=none:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:sas=cadical:si=on:plsqr=32,1:uwa=interpreted_only:foolp=on:nwc=3:random_seed=1082767180:i=338:bd=all:ins=4:rtra=on_2990 on theBenchmark for (2990ds/338Mi)
% 6.42/1.36 % (572590)lrs+10_1_sil=128000:si=on:urr=on:random_seed=1967819276:i=28:sd=1:rtra=on:ss=axioms:sgt=64_2990 on theBenchmark for (2990ds/28Mi)
% 6.42/1.36 % (572591)WARNING Broken Constraint: if avatar_split_queue_ratios(1,16) has been set then avatar_split_queue(off) is equal to on
% 6.42/1.36 % (572591)lrs+1010_2:13_to=kbo:sil=128000:cnfonf=lazy_not_gen:si=on:sp=const_min:uwa=interpreted_only:random_seed=3283039611:i=137:add=off:avsqr=1,16:kws=inv_arity:bd=preordered:nm=0:rtra=on:ntd=on:rawr=on_2990 on theBenchmark for (2990ds/137Mi)
% 6.42/1.36 % (572590)Instruction limit reached!
% 6.42/1.36 % (572590)------------------------------
% 6.42/1.36 % (572590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572590)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572590)Termination reason: Instruction limit
% 6.42/1.36 % (572590)Termination phase: shuffling
% 6.42/1.36 % (572590)Time elapsed: 0.012 s
% 6.42/1.36 % (572590)Peak memory usage: 10 MB
% 6.42/1.36 % (572590)Instructions burned: 28 (million)
% 6.42/1.36 % (572578)Instruction limit reached!
% 6.42/1.36 % (572578)------------------------------
% 6.42/1.36 % (572578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572578)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572578)Termination reason: Instruction limit
% 6.42/1.36 % (572578)Termination phase: Saturation
% 6.42/1.36 % (572578)Time elapsed: 0.134 s
% 6.42/1.36 % (572578)Peak memory usage: 18 MB
% 6.42/1.36 % (572578)Instructions burned: 497 (million)
% 6.42/1.36 % (572595)dis+10_32_sil=128000:tgt=ground:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=32,1:uwa=one_side_interpreted:nwc=1:random_seed=4229349632:hsq=on:hsqr=1,8:i=340:hsql=off:bd=preordered:av=off:rtra=on_2990 on theBenchmark for (2990ds/340Mi)
% 6.42/1.36 % (572596)dis+1004_1_sil=128000:si=on:sos=on:uwa=one_side_interpreted:random_seed=3419222029:i=227:sd=1:bd=all:rtra=on:ss=axioms_2990 on theBenchmark for (2990ds/227Mi)
% 6.42/1.36 % (572564)Instruction limit reached!
% 6.42/1.36 % (572564)------------------------------
% 6.42/1.36 % (572564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572564)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572564)Termination reason: Instruction limit
% 6.42/1.36 % (572564)Termination phase: Saturation
% 6.42/1.36 % (572564)Time elapsed: 0.295 s
% 6.42/1.36 % (572564)Peak memory usage: 16 MB
% 6.42/1.36 % (572564)Instructions burned: 571 (million)
% 6.42/1.36 % (572599)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(1) has been set then sine_level_split_queue(off) is equal to on
% 6.42/1.36 % (572599)dis+1010_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:nwc=2:slsqc=1:random_seed=2066765175:i=373:hud=10:nm=16:av=off:rtra=on:ntd=on_2989 on theBenchmark for (2989ds/373Mi)
% 6.42/1.36 % (572591)Instruction limit reached!
% 6.42/1.36 % (572591)------------------------------
% 6.42/1.36 % (572591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572591)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572591)Termination reason: Instruction limit
% 6.42/1.36 % (572591)Termination phase: Property scanning
% 6.42/1.36 % (572591)Time elapsed: 0.059 s
% 6.42/1.36 % (572591)Peak memory usage: 12 MB
% 6.42/1.36 % (572591)Instructions burned: 138 (million)
% 6.42/1.36 % (572596) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-572436-572596"...
% 6.42/1.36 % (572596)...printing done.
% 6.42/1.36 % (572596)Refutation found. Thanks to Tanya!
% 6.42/1.36 % SZS status Theorem for theBenchmark
% 6.42/1.36 % SZS output start Proof for theBenchmark
% 6.42/1.36 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 6.42/1.36 thf(type_def_6, type, state: $tType).
% 6.42/1.36 thf(type_def_7, type, com: $tType).
% 6.42/1.36 thf(type_def_8, type, list: $tType > $tType).
% 6.42/1.36 thf(type_def_9, type, set: $tType > $tType).
% 6.42/1.36 thf(type_def_10, type, nat: $tType).
% 6.42/1.36 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 6.42/1.36 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 6.42/1.36 thf(func_def_1, type, zero: !>[X0: $tType]:($o)).
% 6.42/1.36 thf(func_def_2, type, ord: !>[X0: $tType]:($o)).
% 6.42/1.36 thf(func_def_3, type, linorder: !>[X0: $tType]:($o)).
% 6.42/1.36 thf(func_def_4, type, zero_zero: !>[X0: $tType]:(X0)).
% 6.42/1.36 thf(func_def_5, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 6.42/1.36 thf(func_def_6, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 6.42/1.36 thf(func_def_7, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 6.42/1.36 thf(func_def_8, type, gen_length: !>[X0: $tType]:((nat > list @ X0 > nat))).
% 6.42/1.36 thf(func_def_9, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 6.42/1.36 thf(func_def_10, type, lenlex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 6.42/1.36 thf(func_def_11, type, lex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 6.42/1.36 thf(func_def_12, type, lexord: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 6.42/1.36 thf(func_def_13, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 6.42/1.36 thf(func_def_14, type, nil: !>[X0: $tType]:(list @ X0)).
% 6.42/1.36 thf(func_def_15, type, listrel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ list @ X0 @ list @ X1))).
% 6.42/1.36 thf(func_def_16, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 6.42/1.36 thf(func_def_17, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 6.42/1.36 thf(func_def_18, type, n_lists: !>[X0: $tType]:((nat > list @ X0 > list @ list @ X0))).
% 6.42/1.36 thf(func_def_19, type, nths: !>[X0: $tType]:((list @ X0 > set @ nat > list @ X0))).
% 6.42/1.36 thf(func_def_20, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 6.42/1.36 thf(func_def_21, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 6.42/1.36 thf(func_def_22, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 6.42/1.36 thf(func_def_23, type, suc: (nat > nat)).
% 6.42/1.36 thf(func_def_24, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 6.42/1.36 thf(func_def_25, type, pHoare1053570893_exec1: set @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state).
% 6.42/1.36 thf(func_def_26, type, pHoare730766435exec1p: (list @ com > state > list @ com > state > $o)).
% 6.42/1.36 thf(func_def_27, type, pHoare1053570959_execs: (state > list @ com > state > $o)).
% 6.42/1.36 thf(func_def_28, type, pHoare1838713294le_inf: (list @ com > state > $o)).
% 6.42/1.36 thf(func_def_29, type, pHoare1335526537termis: (list @ com > state > $o)).
% 6.42/1.36 thf(func_def_30, type, cond: ((state > $o) > com > com > com)).
% 6.42/1.36 thf(func_def_31, type, do: ((state > set @ state) > com)).
% 6.42/1.36 thf(func_def_32, type, semi: (com > com > com)).
% 6.42/1.36 thf(func_def_33, type, while: ((state > $o) > com > com)).
% 6.42/1.36 thf(func_def_34, type, exec: (state > com > state > $o)).
% 6.42/1.36 thf(func_def_35, type, termi: (com > state > $o)).
% 6.42/1.36 thf(func_def_36, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 6.42/1.36 thf(func_def_37, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 6.42/1.36 thf(func_def_38, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 6.42/1.36 thf(func_def_39, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 6.42/1.36 thf(func_def_40, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 6.42/1.36 thf(func_def_41, type, transitive_ntrancl: !>[X0: $tType]:((nat > set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 6.42/1.36 thf(func_def_42, type, transitive_rtrancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 6.42/1.36 thf(func_def_43, type, same_fst: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > set @ product_prod @ X1 @ X1) > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 6.42/1.36 thf(func_def_44, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 6.42/1.36 thf(func_def_45, type, a: list @ com).
% 6.42/1.36 thf(func_def_46, type, b: (state > $o)).
% 6.42/1.36 thf(func_def_47, type, ba: state).
% 6.42/1.36 thf(func_def_48, type, c: com).
% 6.42/1.36 thf(func_def_49, type, cs: list @ com).
% 6.42/1.36 thf(func_def_50, type, f: (nat > product_prod @ list @ com @ state)).
% 6.42/1.36 thf(func_def_51, type, s: state).
% 6.42/1.36 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 6.42/1.36 thf(func_def_56, type, vAND: ($o > $o > $o)).
% 6.42/1.36 thf(func_def_57, type, vIMP: ($o > $o > $o)).
% 6.42/1.36 thf(func_def_58, type, vNOT: ($o > $o)).
% 6.42/1.36 thf(func_def_59, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 6.42/1.36 thf(func_def_60, type, db1: !>[X0: $tType]:(X0)).
% 6.42/1.36 thf(func_def_61, type, db3: !>[X0: $tType]:(X0)).
% 6.42/1.36 thf(func_def_62, type, db0: !>[X0: $tType]:(X0)).
% 6.42/1.36 thf(func_def_63, type, db2: !>[X0: $tType]:(X0)).
% 6.42/1.36 thf(func_def_64, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 6.42/1.36 thf(func_def_65, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 6.42/1.36 thf(func_def_66, type, vOR: ($o > $o > $o)).
% 6.42/1.36 thf(func_def_67, type, db7: !>[X0: $tType]:(X0)).
% 6.42/1.36 thf(func_def_68, type, db5: !>[X0: $tType]:(X0)).
% 6.42/1.36 thf(func_def_69, type, db4: !>[X0: $tType]:(X0)).
% 6.42/1.36 thf(func_def_70, type, db6: !>[X0: $tType]:(X0)).
% 6.42/1.36 thf(func_def_71, type, sP0: (state > list @ com > list @ com > (state > $o) > state > $o)).
% 6.42/1.36 thf(func_def_72, type, sK1: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat > X0))).
% 6.42/1.36 thf(func_def_73, type, sK2: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > nat))).
% 6.42/1.36 thf(func_def_74, type, sK3: !>[X0: $tType]:(((nat > X0 > X0 > $o) > (nat > X0 > $o) > X0))).
% 6.42/1.36 thf(func_def_75, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > $o) > X0))).
% 6.42/1.36 thf(func_def_76, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > $o) > X2))).
% 6.42/1.36 thf(func_def_77, type, sK6: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > $o) > X1))).
% 6.42/1.36 thf(func_def_78, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ X3 > $o) > X3))).
% 6.42/1.36 thf(func_def_79, type, sK8: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X1))).
% 6.42/1.36 thf(func_def_80, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X0))).
% 6.42/1.36 thf(func_def_81, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X2))).
% 6.42/1.36 thf(func_def_82, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X3))).
% 6.42/1.36 thf(func_def_83, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X6))).
% 6.42/1.36 thf(func_def_84, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X5))).
% 6.42/1.36 thf(func_def_85, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X4))).
% 6.42/1.36 thf(func_def_86, type, sK15: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 6.42/1.36 thf(func_def_87, type, sK16: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 6.42/1.36 thf(func_def_88, type, sK17: ((nat > nat > $o) > nat)).
% 6.42/1.36 thf(func_def_89, type, sK18: ((nat > nat > $o) > nat)).
% 6.42/1.36 thf(func_def_90, type, sK19: ((nat > nat > $o) > nat)).
% 6.42/1.36 thf(func_def_91, type, sK20: ((nat > nat > $o) > nat)).
% 6.42/1.36 thf(func_def_92, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X1))).
% 6.42/1.36 thf(func_def_93, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X0))).
% 6.42/1.36 thf(func_def_94, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X2))).
% 6.42/1.36 thf(func_def_95, type, sK24: ((nat > $o) > nat)).
% 6.42/1.36 thf(func_def_96, type, sK25: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 6.42/1.36 thf(func_def_97, type, sK26: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 6.42/1.36 thf(func_def_98, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ X2 > $o) > X4))).
% 6.42/1.36 thf(func_def_99, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ X2 > $o) > X0))).
% 6.42/1.36 thf(func_def_100, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ X2 > $o) > X1))).
% 6.42/1.36 thf(func_def_101, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ X2 > $o) > X3))).
% 6.42/1.36 thf(func_def_102, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X0 @ X2 > $o) > X2))).
% 6.42/1.36 thf(func_def_103, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X4 > X4))).
% 6.42/1.36 thf(func_def_104, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X4 > X0))).
% 6.42/1.36 thf(func_def_105, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X4 > X1))).
% 6.42/1.36 thf(func_def_106, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X4 > X2))).
% 6.42/1.36 thf(func_def_107, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X4 > X3))).
% 6.42/1.36 thf(func_def_108, type, sK37: !>[X0: $tType]:((X0 > (nat > X0) > set @ product_prod @ X0 @ X0 > nat))).
% 6.42/1.36 thf(func_def_109, type, sK38: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > nat > X0))).
% 6.42/1.36 thf(func_def_110, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ X5 > $o) > X1))).
% 6.42/1.36 thf(func_def_111, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ X5 > $o) > X4))).
% 6.42/1.36 thf(func_def_112, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ X5 > $o) > X0))).
% 6.42/1.36 thf(func_def_113, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ X5 > $o) > X3))).
% 6.42/1.36 thf(func_def_114, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ X5 > $o) > X2))).
% 6.42/1.36 thf(func_def_115, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X2 @ X5 > $o) > X5))).
% 6.42/1.36 thf(func_def_116, type, sK45: ((nat > $o) > nat)).
% 6.42/1.36 thf(func_def_117, type, sK46: (nat > nat)).
% 6.42/1.36 thf(func_def_118, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X2 > X4))).
% 6.42/1.36 thf(func_def_119, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X2 > X6))).
% 6.42/1.36 thf(func_def_120, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X2 > X3))).
% 6.42/1.36 thf(func_def_121, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X2 > X0))).
% 6.42/1.36 thf(func_def_122, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X2 > X5))).
% 6.42/1.36 thf(func_def_123, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X2 > X1))).
% 6.42/1.36 thf(func_def_124, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X4 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X1 @ X2 > X2))).
% 6.42/1.36 thf(func_def_125, type, sK54: ((nat > product_prod @ list @ com @ state) > nat)).
% 6.42/1.36 thf(func_def_126, type, sK55: !>[X0: $tType]:(((nat > X0) > X0 > set @ product_prod @ X0 @ X0 > nat))).
% 6.42/1.36 thf(func_def_127, type, sK56: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > nat > X0))).
% 6.42/1.36 thf(func_def_128, type, sK57: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 6.42/1.36 thf(func_def_129, type, sK58: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 6.42/1.36 thf(func_def_130, type, sK59: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 6.42/1.36 thf(func_def_131, type, sK60: ((nat > $o) > nat)).
% 6.42/1.36 thf(func_def_132, type, sK61: (nat > nat)).
% 6.42/1.36 thf(func_def_133, type, sK62: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 6.42/1.36 thf(func_def_134, type, sK63: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 6.42/1.36 thf(func_def_135, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X0))).
% 6.42/1.36 thf(func_def_136, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X2))).
% 6.42/1.36 thf(func_def_137, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X3))).
% 6.42/1.36 thf(func_def_138, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X5))).
% 6.42/1.36 thf(func_def_139, type, sK68: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X1))).
% 6.42/1.36 thf(func_def_140, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ X3 > X4))).
% 6.42/1.36 thf(func_def_141, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X0))).
% 6.42/1.36 thf(func_def_142, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X1))).
% 6.42/1.36 thf(func_def_143, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X2))).
% 6.42/1.36 thf(func_def_144, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ X0 > X3))).
% 6.42/1.36 thf(func_def_145, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ X0 > X0))).
% 6.42/1.36 thf(func_def_146, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ X0 > X1))).
% 6.42/1.36 thf(func_def_147, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X1 @ product_prod @ X3 @ X0 > X2))).
% 6.42/1.36 thf(f1,axiom,(
% 6.42/1.36 ! [X8 : list @ com,X7 : state,X9 : state,X6 : list @ com,X4 : (state > $o),X5 : com] : ((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ list @ com @ state @ (cons @ com @ (while @ X4 @ X5) @ X6) @ X7) @ (product_Pair @ list @ com @ state @ X8 @ X9)) @ pHoare1053570893_exec1) => (((X8 = X6) => ((X9 = X7) => (X4 @ X7))) => ~((X8 = ((cons @ com @ X5 @ (cons @ com @ (while @ X4 @ X5) @ X6)))) => ((X9 = X7) => ~(X4 @ X7)))))),
% 6.42/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_exec1E_I5_J)).
% 6.42/1.36 thf(f260,axiom,(
% 6.42/1.36 (((f @ zero_zero @ nat)) = ((product_Pair @ list @ com @ state @ (cons @ com @ (while @ b @ c) @ cs) @ s)))),
% 6.42/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 6.42/1.36 thf(f261,axiom,(
% 6.42/1.36 ! [X0 : nat] : (member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ X0) @ (f @ (suc @ X0))) @ pHoare1053570893_exec1)),
% 6.42/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 6.42/1.36 thf(f263,axiom,(
% 6.42/1.36 (((f @ (suc @ zero_zero @ nat))) = ((product_Pair @ list @ com @ state @ a @ ba)))),
% 6.42/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3)).
% 6.42/1.36 thf(f264,conjecture,(
% 6.42/1.36 ? [X0 : (nat > product_prod @ list @ com @ state)] : (! [X1 : nat] : (member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (X0 @ X1) @ (X0 @ (suc @ X1))) @ pHoare1053570893_exec1) & (((X0 @ zero_zero @ nat)) = ((product_Pair @ list @ com @ state @ (cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs)) @ s)))) | ~(b @ s)),
% 6.42/1.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4)).
% 6.42/1.36 thf(f265,negated_conjecture,(
% 6.42/1.36 ~(? [X0 : (nat > product_prod @ list @ com @ state)] : (! [X1 : nat] : (member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (X0 @ X1) @ (X0 @ (suc @ X1))) @ pHoare1053570893_exec1) & (((X0 @ zero_zero @ nat)) = ((product_Pair @ list @ com @ state @ (cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs)) @ s)))) | ~(b @ s))),
% 6.42/1.36 inference(negated_conjecture,[status(cth)],[f264])).
% 6.42/1.36 thf(f286,plain,(
% 6.42/1.36 ! [X0 : list @ com,X1 : state,X2 : state,X3 : list @ com,X4 : (state > $o),X5 : com] : ((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ list @ com @ state @ (cons @ com @ (while @ X4 @ X5) @ X3) @ X1) @ (product_Pair @ list @ com @ state @ X0 @ X2)) @ pHoare1053570893_exec1) => (((X0 = X3) => ((X1 = X2) => (X4 @ X1))) => ~((((cons @ com @ X5 @ (cons @ com @ (while @ X4 @ X5) @ X3))) = X0) => ((X1 = X2) => ~(X4 @ X1)))))),
% 6.42/1.36 inference(rectify,[],[f1])).
% 6.42/1.36 thf(f287,plain,(
% 6.42/1.36 ! [X0 : list @ com,X1 : state,X2 : state,X3 : list @ com,X4 : (state > $o),X5 : com] : ((((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ list @ com @ state @ (cons @ com @ (while @ X4 @ X5) @ X3) @ X1) @ (product_Pair @ list @ com @ state @ X0 @ X2)) @ pHoare1053570893_exec1)) = $true) => (((X0 = X3) => ((X1 = X2) => (((X4 @ X1)) = $true))) => ~((((cons @ com @ X5 @ (cons @ com @ (while @ X4 @ X5) @ X3))) = X0) => ((X1 = X2) => ~ (((X4 @ X1)) = $true)))))),
% 6.42/1.36 inference(fool_elimination,[],[f286])).
% 6.42/1.36 thf(f437,plain,(
% 6.42/1.36 ! [X0 : nat] : (member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ X0) @ (f @ (suc @ X0))) @ pHoare1053570893_exec1)),
% 6.42/1.36 inference(rectify,[],[f261])).
% 6.42/1.36 thf(f438,plain,(
% 6.42/1.36 ! [X0 : nat] : (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ X0) @ (f @ (suc @ X0))) @ pHoare1053570893_exec1)) = $true)),
% 6.42/1.36 inference(fool_elimination,[],[f437])).
% 6.42/1.36 thf(f593,plain,(
% 6.42/1.36 ~(? [X0 : (nat > product_prod @ list @ com @ state)] : (! [X1 : nat] : (member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (X0 @ X1) @ (X0 @ (suc @ X1))) @ pHoare1053570893_exec1) & (((X0 @ zero_zero @ nat)) = ((product_Pair @ list @ com @ state @ (cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs)) @ s)))) | ~(b @ s))),
% 6.42/1.36 inference(rectify,[],[f265])).
% 6.42/1.36 thf(f594,plain,(
% 6.42/1.36 ~(? [X0 : (nat > product_prod @ list @ com @ state)] : ((((X0 @ zero_zero @ nat)) = ((product_Pair @ list @ com @ state @ (cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs)) @ s))) & ! [X1 : nat] : (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (X0 @ X1) @ (X0 @ (suc @ X1))) @ pHoare1053570893_exec1)) = $true)) | ~ (((b @ s)) = $true))),
% 6.42/1.36 inference(fool_elimination,[],[f593])).
% 6.42/1.36 thf(f632,plain,(
% 6.42/1.36 ~((((b @ s)) != $true) | ? [X0 : (nat > product_prod @ list @ com @ state)] : ((((X0 @ zero_zero @ nat)) = ((product_Pair @ list @ com @ state @ (cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs)) @ s))) & ! [X1 : nat] : (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (X0 @ X1) @ (X0 @ (suc @ X1))) @ pHoare1053570893_exec1)) = $true)))),
% 6.42/1.36 inference(flattening,[],[f594])).
% 6.42/1.36 thf(f634,plain,(
% 6.42/1.36 ! [X3 : list @ com,X1 : state,X2 : state,X5 : com,X4 : (state > $o),X0 : list @ com] : ((((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ list @ com @ state @ (cons @ com @ (while @ X4 @ X5) @ X3) @ X1) @ (product_Pair @ list @ com @ state @ X0 @ X2)) @ pHoare1053570893_exec1)) = $true) => (((X0 = X3) => ((X1 = X2) => (((X4 @ X1)) = $true))) => ~((((cons @ com @ X5 @ (cons @ com @ (while @ X4 @ X5) @ X3))) = X0) => ((X1 = X2) => (((X4 @ X1)) != $true)))))),
% 6.42/1.36 inference(flattening,[],[f287])).
% 6.42/1.36 thf(f645,plain,(
% 6.42/1.36 ! [X3 : list @ com,X1 : state,X2 : state,X5 : com,X4 : (state > $o),X0 : list @ com] : (((((((X4 @ X1)) = $true) & (X1 = X2)) & (((cons @ com @ X5 @ (cons @ com @ (while @ X4 @ X5) @ X3))) = X0)) | (((((X4 @ X1)) != $true) & (X1 = X2)) & (X0 = X3))) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ list @ com @ state @ (cons @ com @ (while @ X4 @ X5) @ X3) @ X1) @ (product_Pair @ list @ com @ state @ X0 @ X2)) @ pHoare1053570893_exec1)) != $true))),
% 6.42/1.36 inference(ennf_transformation,[],[f634])).
% 6.42/1.36 thf(f646,plain,(
% 6.42/1.36 ! [X3 : list @ com,X1 : state,X2 : state,X0 : list @ com,X4 : (state > $o),X5 : com] : (((((X4 @ X1)) = $true) & (((cons @ com @ X5 @ (cons @ com @ (while @ X4 @ X5) @ X3))) = X0) & (X1 = X2)) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ list @ com @ state @ (cons @ com @ (while @ X4 @ X5) @ X3) @ X1) @ (product_Pair @ list @ com @ state @ X0 @ X2)) @ pHoare1053570893_exec1)) != $true) | ((((X4 @ X1)) != $true) & (X0 = X3) & (X1 = X2)))),
% 6.42/1.36 inference(flattening,[],[f645])).
% 6.42/1.36 thf(f659,plain,(
% 6.42/1.36 ! [X0 : (nat > product_prod @ list @ com @ state)] : (? [X1 : nat] : (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (X0 @ X1) @ (X0 @ (suc @ X1))) @ pHoare1053570893_exec1)) != $true) | (((X0 @ zero_zero @ nat)) != ((product_Pair @ list @ com @ state @ (cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs)) @ s)))) & (((b @ s)) = $true)),
% 6.42/1.36 inference(ennf_transformation,[],[f632])).
% 6.42/1.36 thf(f684,definition,(
% 6.42/1.36 ! [X1 : state,X4 : (state > $o),X3 : list @ com,X0 : list @ com,X2 : state] : (((((X4 @ X1)) != $true) & (X0 = X3) & (X1 = X2)) | ~ (((sP0 @ X2 @ X0 @ X3 @ X4 @ X1)) = $true))),
% 6.42/1.36 introduced(definition,[new_symbols(definition,[=])],[predicate_definition_introduction])).
% 6.42/1.36 thf(f685,plain,(
% 6.42/1.36 ! [X3 : list @ com,X1 : state,X2 : state,X0 : list @ com,X4 : (state > $o),X5 : com] : (((((X4 @ X1)) = $true) & (((cons @ com @ X5 @ (cons @ com @ (while @ X4 @ X5) @ X3))) = X0) & (X1 = X2)) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ list @ com @ state @ (cons @ com @ (while @ X4 @ X5) @ X3) @ X1) @ (product_Pair @ list @ com @ state @ X0 @ X2)) @ pHoare1053570893_exec1)) != $true) | (((sP0 @ X2 @ X0 @ X3 @ X4 @ X1)) = $true))),
% 6.42/1.36 inference(definition_folding,[],[f646,f684])).
% 6.42/1.36 thf(f721,plain,(
% 6.42/1.36 ! [X0 : (nat > product_prod @ list @ com @ state)] : ((((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (X0 @ (sK54 @ X0)) @ (X0 @ (suc @ (sK54 @ X0)))) @ pHoare1053570893_exec1)) != $true) | (((X0 @ zero_zero @ nat)) != ((product_Pair @ list @ com @ state @ (cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs)) @ s)))) & (((b @ s)) = $true)),
% 6.42/1.36 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X6,sK3 @ X0 @ X2 @ X1)],[f659])).
% 6.42/1.36 thf(f732,plain,(
% 6.42/1.36 ! [X1 : state,X4 : (state > $o),X3 : list @ com,X0 : list @ com,X2 : state] : (((((X4 @ X1)) != $true) & (X0 = X3) & (X1 = X2)) | (((sP0 @ X2 @ X0 @ X3 @ X4 @ X1)) != $true))),
% 6.42/1.36 inference(nnf_transformation,[],[f684])).
% 6.42/1.36 thf(f733,plain,(
% 6.42/1.36 ! [X0 : state,X1 : (state > $o),X2 : list @ com,X3 : list @ com,X4 : state] : (((((X1 @ X0)) != $true) & (X2 = X3) & (X0 = X4)) | (((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)) != $true))),
% 6.42/1.36 inference(rectify,[],[f732])).
% 6.42/1.36 thf(f734,plain,(
% 6.42/1.36 ! [X0 : list @ com,X1 : state,X2 : state,X3 : list @ com,X4 : (state > $o),X5 : com] : (((((X4 @ X1)) = $true) & (((cons @ com @ X5 @ (cons @ com @ (while @ X4 @ X5) @ X0))) = X3) & (X1 = X2)) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ list @ com @ state @ (cons @ com @ (while @ X4 @ X5) @ X0) @ X1) @ (product_Pair @ list @ com @ state @ X3 @ X2)) @ pHoare1053570893_exec1)) != $true) | (((sP0 @ X2 @ X3 @ X0 @ X4 @ X1)) = $true))),
% 6.42/1.36 inference(rectify,[],[f685])).
% 6.42/1.36 thf(f743,plain,(
% 6.42/1.36 (((f @ (suc @ zero_zero @ nat))) = ((product_Pair @ list @ com @ state @ a @ ba)))),
% 6.42/1.36 inference(cnf_transformation,[],[f263])).
% 6.42/1.36 thf(f758,plain,(
% 6.42/1.36 ( ! [X0 : nat] : ((((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ X0) @ (f @ (suc @ X0))) @ pHoare1053570893_exec1)) = $true)) )),
% 6.42/1.36 inference(cnf_transformation,[],[f438])).
% 6.42/1.36 thf(f783,plain,(
% 6.42/1.36 (((b @ s)) = $true)),
% 6.42/1.36 inference(cnf_transformation,[],[f721])).
% 6.42/1.36 thf(f784,plain,(
% 6.42/1.36 ( ! [X0 : (nat > product_prod @ list @ com @ state)] : ((((X0 @ zero_zero @ nat)) != ((product_Pair @ list @ com @ state @ (cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs)) @ s))) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (X0 @ (sK54 @ X0)) @ (X0 @ (suc @ (sK54 @ X0)))) @ pHoare1053570893_exec1)) != $true)) )),
% 6.42/1.36 inference(cnf_transformation,[],[f721])).
% 6.42/1.36 thf(f786,plain,(
% 6.42/1.36 (((f @ zero_zero @ nat)) = ((product_Pair @ list @ com @ state @ (cons @ com @ (while @ b @ c) @ cs) @ s)))),
% 6.42/1.36 inference(cnf_transformation,[],[f260])).
% 6.42/1.36 thf(f796,plain,(
% 6.42/1.36 ( ! [X2 : list @ com,X3 : list @ com,X0 : state,X1 : (state > $o),X4 : state] : ((((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)) != $true) | (X0 = X4)) )),
% 6.42/1.36 inference(cnf_transformation,[],[f733])).
% 6.42/1.36 thf(f798,plain,(
% 6.42/1.36 ( ! [X2 : list @ com,X3 : list @ com,X0 : state,X1 : (state > $o),X4 : state] : ((((X1 @ X0)) != $true) | (((sP0 @ X4 @ X3 @ X2 @ X1 @ X0)) != $true)) )),
% 6.42/1.36 inference(cnf_transformation,[],[f733])).
% 6.42/1.36 thf(f799,plain,(
% 6.42/1.36 ( ! [X2 : state,X3 : list @ com,X0 : list @ com,X1 : state,X4 : (state > $o),X5 : com] : ((((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ list @ com @ state @ (cons @ com @ (while @ X4 @ X5) @ X0) @ X1) @ (product_Pair @ list @ com @ state @ X3 @ X2)) @ pHoare1053570893_exec1)) != $true) | (X1 = X2) | (((sP0 @ X2 @ X3 @ X0 @ X4 @ X1)) = $true)) )),
% 6.42/1.36 inference(cnf_transformation,[],[f734])).
% 6.42/1.36 thf(f800,plain,(
% 6.42/1.36 ( ! [X2 : state,X3 : list @ com,X0 : list @ com,X1 : state,X4 : (state > $o),X5 : com] : ((((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ list @ com @ state @ (cons @ com @ (while @ X4 @ X5) @ X0) @ X1) @ (product_Pair @ list @ com @ state @ X3 @ X2)) @ pHoare1053570893_exec1)) != $true) | (((sP0 @ X2 @ X3 @ X0 @ X4 @ X1)) = $true) | (((cons @ com @ X5 @ (cons @ com @ (while @ X4 @ X5) @ X0))) = X3)) )),
% 6.42/1.36 inference(cnf_transformation,[],[f734])).
% 6.42/1.36 thf(f809,definition,(
% 6.42/1.36 ( ! [X0 : $o] : (($true = X0) | ($false = X0)) )),
% 6.42/1.36 introduced(theory,[fool_exhaustiveness_axiom])).
% 6.42/1.36 thf(f813,plain,(
% 6.42/1.36 ( ! [X2 : list @ com,X0 : state,X1 : list @ com] : (($true != $true) | (((sP0 @ X0 @ X1 @ X2 @ b @ s)) != $true)) )),
% 6.42/1.36 inference(constrained_superposition,[],[f798,f783])).
% 6.42/1.36 thf(f815,plain,(
% 6.42/1.36 ( ! [X2 : list @ com,X0 : state,X1 : list @ com] : ((((sP0 @ X0 @ X1 @ X2 @ b @ s)) != $true)) )),
% 6.42/1.36 inference(trivial_inequality_removal,[],[f813])).
% 6.42/1.36 thf(f821,plain,(
% 6.42/1.36 ( ! [X2 : list @ com,X0 : state,X1 : list @ com] : (($true != $true) | ($false = ((sP0 @ X0 @ X1 @ X2 @ b @ s)))) )),
% 6.42/1.36 inference(constrained_superposition,[],[f815,f809])).
% 6.42/1.36 thf(f823,plain,(
% 6.42/1.36 ( ! [X2 : list @ com,X0 : state,X1 : list @ com] : (($false = ((sP0 @ X0 @ X1 @ X2 @ b @ s)))) )),
% 6.42/1.36 inference(trivial_inequality_removal,[],[f821])).
% 6.42/1.36 thf(f857,plain,(
% 6.42/1.36 ( ! [X0 : list @ com,X1 : state] : ((((sP0 @ X1 @ X0 @ cs @ b @ s)) = $true) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ zero_zero @ nat) @ (product_Pair @ list @ com @ state @ X0 @ X1)) @ pHoare1053570893_exec1)) != $true) | (s = X1)) )),
% 6.42/1.36 inference(constrained_superposition,[],[f799,f786])).
% 6.42/1.36 thf(f858,plain,(
% 6.42/1.36 ( ! [X0 : list @ com,X1 : state] : ((((cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs))) = X0) | (((sP0 @ X1 @ X0 @ cs @ b @ s)) = $true) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ zero_zero @ nat) @ (product_Pair @ list @ com @ state @ X0 @ X1)) @ pHoare1053570893_exec1)) != $true)) )),
% 6.42/1.36 inference(constrained_superposition,[],[f800,f786])).
% 6.42/1.36 thf(f864,plain,(
% 6.42/1.36 ( ! [X0 : list @ com,X1 : state] : ((((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ zero_zero @ nat) @ (product_Pair @ list @ com @ state @ X0 @ X1)) @ pHoare1053570893_exec1)) != $true) | (((cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs))) = X0) | ($false = $true)) )),
% 6.42/1.36 inference(forward_demodulation,[],[f858,f823])).
% 6.42/1.36 thf(f865,plain,(
% 6.42/1.36 ( ! [X0 : list @ com,X1 : state] : ((((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ zero_zero @ nat) @ (product_Pair @ list @ com @ state @ X0 @ X1)) @ pHoare1053570893_exec1)) != $true) | (((cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs))) = X0)) )),
% 6.42/1.36 inference(trivial_inequality_removal,[],[f864])).
% 6.42/1.36 thf(f866,plain,(
% 6.42/1.36 ( ! [X0 : list @ com,X1 : state] : ((((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ zero_zero @ nat) @ (product_Pair @ list @ com @ state @ X0 @ X1)) @ pHoare1053570893_exec1)) != $true) | (s = X1)) )),
% 6.42/1.36 inference(forward_subsumption_resolution,[],[f857,f796])).
% 6.42/1.36 thf(f870,plain,(
% 6.42/1.36 (a = ((cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs)))) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ zero_zero @ nat) @ (f @ (suc @ zero_zero @ nat))) @ pHoare1053570893_exec1)) != $true)),
% 6.42/1.36 inference(constrained_superposition,[],[f865,f743])).
% 6.42/1.36 thf(f877,definition,(
% 6.42/1.36 spl77_1 <=> (a = ((cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs))))),
% 6.42/1.36 introduced(definition,[new_symbols(definition,[spl77_1])],[avatar_definition])).
% 6.42/1.36 thf(f879,plain,(
% 6.42/1.36 (a = ((cons @ com @ c @ (cons @ com @ (while @ b @ c) @ cs)))) | ~spl77_1),
% 6.42/1.36 inference(avatar_component_clause,[],[f877])).
% 6.42/1.36 thf(f881,definition,(
% 6.42/1.36 spl77_2 <=> (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ zero_zero @ nat) @ (f @ (suc @ zero_zero @ nat))) @ pHoare1053570893_exec1)) = $true)),
% 6.42/1.36 introduced(definition,[new_symbols(definition,[spl77_2])],[avatar_definition])).
% 6.42/1.36 thf(f883,plain,(
% 6.42/1.36 (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ zero_zero @ nat) @ (f @ (suc @ zero_zero @ nat))) @ pHoare1053570893_exec1)) != $true) | spl77_2),
% 6.42/1.36 inference(avatar_component_clause,[],[f881])).
% 6.42/1.36 thf(f884,plain,(
% 6.42/1.36 spl77_1 | ~spl77_2),
% 6.42/1.36 inference(avatar_split_clause,[],[f870,f881,f877])).
% 6.42/1.36 thf(f900,plain,(
% 6.42/1.36 $false | spl77_2),
% 6.42/1.36 inference(forward_subsumption_resolution,[],[f883,f758])).
% 6.42/1.36 thf(f901,plain,(
% 6.42/1.36 spl77_2),
% 6.42/1.36 inference(avatar_contradiction_clause,[],[f900])).
% 6.42/1.36 thf(f906,plain,(
% 6.42/1.36 ( ! [X0 : (nat > product_prod @ list @ com @ state)] : ((((X0 @ zero_zero @ nat)) != ((product_Pair @ list @ com @ state @ a @ s))) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (X0 @ (sK54 @ X0)) @ (X0 @ (suc @ (sK54 @ X0)))) @ pHoare1053570893_exec1)) != $true)) ) | ~spl77_1),
% 6.42/1.36 inference(backward_demodulation,[],[f784,f879])).
% 6.42/1.36 thf(f969,definition,(
% 6.42/1.36 spl77_5 <=> (s = ba)),
% 6.42/1.36 introduced(definition,[new_symbols(definition,[spl77_5])],[avatar_definition])).
% 6.42/1.36 thf(f971,plain,(
% 6.42/1.36 (s = ba) | ~spl77_5),
% 6.42/1.36 inference(avatar_component_clause,[],[f969])).
% 6.42/1.36 thf(f1025,plain,(
% 6.42/1.36 (s = ba) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ zero_zero @ nat) @ (f @ (suc @ zero_zero @ nat))) @ pHoare1053570893_exec1)) != $true)),
% 6.42/1.36 inference(constrained_superposition,[],[f866,f743])).
% 6.42/1.36 thf(f1033,plain,(
% 6.42/1.36 (s = ba)),
% 6.42/1.36 inference(forward_subsumption_resolution,[],[f1025,f758])).
% 6.42/1.36 thf(f1034,plain,(
% 6.42/1.36 spl77_5),
% 6.42/1.36 inference(avatar_split_clause,[],[f1033,f969])).
% 6.42/1.36 thf(f1039,plain,(
% 6.42/1.36 (((f @ (suc @ zero_zero @ nat))) = ((product_Pair @ list @ com @ state @ a @ s))) | ~spl77_5),
% 6.42/1.36 inference(backward_demodulation,[],[f743,f971])).
% 6.42/1.36 thf(f1044,plain,(
% 6.42/1.36 ( ! [X0 : (nat > product_prod @ list @ com @ state)] : ((((f @ (suc @ zero_zero @ nat))) != ((X0 @ zero_zero @ nat))) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (X0 @ (sK54 @ X0)) @ (X0 @ (suc @ (sK54 @ X0)))) @ pHoare1053570893_exec1)) != $true)) ) | (~spl77_1 | ~spl77_5)),
% 6.42/1.36 inference(backward_demodulation,[],[f906,f1039])).
% 6.42/1.36 thf(f1064,plain,(
% 6.42/1.36 ( ! [X1 : (nat > nat)] : ((((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ ((^[Y0 : nat]: (f @ (X1 @ Y0))) @ (sK54 @ (^[Y0 : nat]: (f @ (X1 @ Y0))))) @ ((^[Y0 : nat]: (f @ (X1 @ Y0))) @ (suc @ (sK54 @ (^[Y0 : nat]: (f @ (X1 @ Y0))))))) @ pHoare1053570893_exec1)) != $true) | (((f @ (suc @ zero_zero @ nat))) != (((^[Y0 : nat]: (f @ (X1 @ Y0))) @ zero_zero @ nat)))) ) | (~spl77_1 | ~spl77_5)),
% 6.42/1.36 inference(imitation,[],[f1044])).
% 6.42/1.36 thf(f1067,plain,(
% 6.42/1.36 ( ! [X1 : (nat > nat)] : ((((f @ (suc @ zero_zero @ nat))) != ((f @ (X1 @ zero_zero @ nat)))) | (((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ (X1 @ (sK54 @ (^[Y0 : nat]: (f @ (X1 @ Y0)))))) @ (f @ (X1 @ (suc @ (sK54 @ (^[Y0 : nat]: (f @ (X1 @ Y0)))))))) @ pHoare1053570893_exec1)) != $true)) ) | (~spl77_1 | ~spl77_5)),
% 6.42/1.36 inference(beta-eta_normalization,[],[f1064])).
% 6.42/1.36 thf(f1164,plain,(
% 6.42/1.36 ($true != ((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (f @ (suc @ (sK54 @ (^[Y0 : nat]: (f @ (suc @ Y0)))))) @ (f @ (suc @ (suc @ (sK54 @ (^[Y0 : nat]: (f @ (suc @ Y0)))))))) @ pHoare1053570893_exec1))) | (~spl77_1 | ~spl77_5)),
% 6.42/1.36 inference(equality_resolution,[],[f1067])).
% 6.42/1.36 thf(f1165,plain,(
% 6.42/1.36 $false | (~spl77_1 | ~spl77_5)),
% 6.42/1.36 inference(forward_subsumption_resolution,[],[f1164,f758])).
% 6.42/1.36 thf(f1166,plain,(
% 6.42/1.36 ~spl77_1 | ~spl77_5),
% 6.42/1.36 inference(avatar_contradiction_clause,[],[f1165])).
% 6.42/1.36 cnf(s1, plain, spl77_1 | ~spl77_2, inference(sat_conversion,[],[f884])).
% 6.42/1.36 cnf(s2, plain, spl77_2, inference(sat_conversion,[],[f901])).
% 6.42/1.36 cnf(s5, plain, spl77_5, inference(sat_conversion,[],[f1034])).
% 6.42/1.36 cnf(s10, plain, ~spl77_1 | ~spl77_5, inference(sat_conversion,[],[f1166])).
% 6.42/1.36 cnf(s11, plain, ~spl77_1, inference(rat,[],[s10,s5])).
% 6.42/1.36 cnf(s12, plain, $false, inference(rat,[],[s1,s2,s11])).
% 6.42/1.36 thf(f1167,plain,(
% 6.42/1.36 $false),
% 6.42/1.36 inference(avatar_sat_refutation,[],[s12])).
% 6.42/1.36 % SZS output end Proof for theBenchmark
% 6.42/1.36 % (572596)------------------------------
% 6.42/1.36 % (572596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 6.42/1.36 % (572596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.42/1.36 % (572596)CaDiCaL version: 2.1.3
% 6.42/1.36 % (572596)Termination reason: Refutation
% 6.42/1.36 % (572596)Time elapsed: 0.044 s
% 6.42/1.36 % (572596)Peak memory usage: 15 MB
% 6.42/1.36 % (572596)Instructions burned: 169 (million)
% 6.42/1.36 % (572436)Success in time 1.057 s
% 6.42/1.36 % Vampire exiting
%------------------------------------------------------------------------------