%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP142^2 : 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 : n002.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 1.59s 0.69s
% Output : Refutation 1.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP142^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.22 % Computer : n002.cluster.edu
% 0.12/0.22 % Model : x86_64 x86_64
% 0.12/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.22 % Memory : 8046.5625MB
% 0.12/0.22 % OS : Linux 6.8.0-71-generic
% 0.12/0.23 % CPULimit : 300
% 0.12/0.23 % WCLimit : 300
% 0.12/0.23 % DateTime : Tue Sep 29 20:02:23 UTC 2026
% 0.12/0.23 % CPUTime :
% 0.12/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.27 Running higher-order theorem proving
% 0.36/0.40 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
% 1.26/0.61 % (1778875)Detected a higher-order problem, will run a greedy HOL sequence.
% 1.26/0.61 % (1778887)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 1.26/0.61 % (1778887)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
% 1.26/0.61 % (1778887)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=4042599207:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 1.26/0.61 % (1778881)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4160086474:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 1.26/0.61 % (1778883)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1575306480:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 1.26/0.61 % (1778882)lrs+10_16_si=on:nwc=1.5:random_seed=1072026599:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 1.26/0.61 % (1778885)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1987603061:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 1.26/0.61 % (1778884)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=189170102: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)
% 1.26/0.61 % (1778886)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2545758226:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 1.26/0.61 % (1778883)Instruction limit reached!
% 1.26/0.61 % (1778883)------------------------------
% 1.26/0.61 % (1778883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.61 % (1778883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.61 % (1778883)CaDiCaL version: 2.1.3
% 1.26/0.61 % (1778883)Termination reason: Instruction limit
% 1.26/0.61 % (1778883)Termination phase: shuffling
% 1.26/0.61 % (1778883)Time elapsed: 0.003 s
% 1.26/0.61 % (1778883)Peak memory usage: 10 MB
% 1.26/0.61 % (1778883)Instructions burned: 3 (million)
% 1.26/0.61 % (1778882)Instruction limit reached!
% 1.26/0.61 % (1778882)------------------------------
% 1.26/0.61 % (1778882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.61 % (1778882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.61 % (1778882)CaDiCaL version: 2.1.3
% 1.26/0.61 % (1778882)Termination reason: Instruction limit
% 1.26/0.61 % (1778882)Termination phase: shuffling
% 1.26/0.61 % (1778882)Time elapsed: 0.015 s
% 1.26/0.61 % (1778882)Peak memory usage: 10 MB
% 1.26/0.61 % (1778882)Instructions burned: 18 (million)
% 1.26/0.61 % (1778885)Instruction limit reached!
% 1.26/0.61 % (1778885)------------------------------
% 1.26/0.61 % (1778885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.61 % (1778885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.61 % (1778885)CaDiCaL version: 2.1.3
% 1.26/0.61 % (1778885)Termination reason: Instruction limit
% 1.26/0.61 % (1778885)Termination phase: shuffling
% 1.26/0.61 % (1778885)Time elapsed: 0.020 s
% 1.26/0.61 % (1778885)Peak memory usage: 10 MB
% 1.26/0.61 % (1778885)Instructions burned: 24 (million)
% 1.26/0.61 % (1778895)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2413623030:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.26/0.61 % (1778895)Instruction limit reached!
% 1.26/0.61 % (1778895)------------------------------
% 1.26/0.61 % (1778895)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.61 % (1778895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.61 % (1778895)CaDiCaL version: 2.1.3
% 1.26/0.61 % (1778895)Termination reason: Instruction limit
% 1.26/0.61 % (1778895)Termination phase: shuffling
% 1.26/0.61 % (1778895)Time elapsed: 0.002 s
% 1.26/0.61 % (1778895)Peak memory usage: 10 MB
% 1.26/0.61 % (1778895)Instructions burned: 2 (million)
% 1.26/0.61 % (1778898)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.26/0.65 % (1778896)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4220264964:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.26/0.65 % (1778881)Instruction limit reached!
% 1.26/0.65 % (1778881)------------------------------
% 1.26/0.65 % (1778881)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.65 % (1778881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.65 % (1778881)CaDiCaL version: 2.1.3
% 1.26/0.65 % (1778881)Termination reason: Instruction limit
% 1.26/0.65 % (1778881)Termination phase: Preprocessing 3
% 1.26/0.65 % (1778881)Time elapsed: 0.053 s
% 1.26/0.65 % (1778881)Peak memory usage: 12 MB
% 1.26/0.65 % (1778881)Instructions burned: 88 (million)
% 1.26/0.65 % (1778898)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2019306867:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.26/0.65 % (1778896)Instruction limit reached!
% 1.26/0.65 % (1778896)------------------------------
% 1.26/0.65 % (1778896)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.65 % (1778896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.65 % (1778896)CaDiCaL version: 2.1.3
% 1.26/0.65 % (1778896)Termination reason: Instruction limit
% 1.26/0.65 % (1778896)Termination phase: shuffling
% 1.26/0.65 % (1778896)Time elapsed: 0.005 s
% 1.26/0.65 % (1778896)Peak memory usage: 10 MB
% 1.26/0.65 % (1778896)Instructions burned: 5 (million)
% 1.26/0.65 % (1778887)Instruction limit reached!
% 1.26/0.65 % (1778887)------------------------------
% 1.26/0.65 % (1778887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.65 % (1778887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.65 % (1778887)CaDiCaL version: 2.1.3
% 1.26/0.65 % (1778887)Termination reason: Instruction limit
% 1.26/0.65 % (1778887)Termination phase: Saturation
% 1.26/0.65 % (1778887)Time elapsed: 0.072 s
% 1.26/0.65 % (1778887)Peak memory usage: 13 MB
% 1.26/0.65 % (1778887)Instructions burned: 164 (million)
% 1.26/0.65 % (1778898)Instruction limit reached!
% 1.26/0.65 % (1778898)------------------------------
% 1.26/0.65 % (1778898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.65 % (1778898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.65 % (1778898)CaDiCaL version: 2.1.3
% 1.26/0.65 % (1778898)Termination reason: Instruction limit
% 1.26/0.65 % (1778898)Termination phase: shuffling
% 1.26/0.65 % (1778898)Time elapsed: 0.007 s
% 1.26/0.65 % (1778898)Peak memory usage: 10 MB
% 1.26/0.65 % (1778898)Instructions burned: 8 (million)
% 1.26/0.65 % (1778886)Instruction limit reached!
% 1.26/0.65 % (1778886)------------------------------
% 1.26/0.65 % (1778886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.65 % (1778886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.65 % (1778886)CaDiCaL version: 2.1.3
% 1.26/0.65 % (1778886)Termination reason: Instruction limit
% 1.26/0.65 % (1778886)Termination phase: Preprocessing 3
% 1.26/0.65 % (1778886)Time elapsed: 0.062 s
% 1.26/0.65 % (1778886)Peak memory usage: 11 MB
% 1.26/0.65 % (1778886)Instructions burned: 75 (million)
% 1.26/0.65 % (1778900)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1568234912:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 1.26/0.65 % (1778902)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
% 1.26/0.65 % (1778902)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.26/0.65 % (1778902)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2551882034:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.26/0.65 % (1778900)Instruction limit reached!
% 1.26/0.65 % (1778900)------------------------------
% 1.26/0.65 % (1778900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.26/0.65 % (1778900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.26/0.65 % (1778900)CaDiCaL version: 2.1.3
% 1.26/0.65 % (1778900)Termination reason: Instruction limit
% 1.59/0.69 % (1778900)Termination phase: shuffling
% 1.59/0.69 % (1778900)Time elapsed: 0.011 s
% 1.59/0.69 % (1778900)Peak memory usage: 10 MB
% 1.59/0.69 % (1778900)Instructions burned: 13 (million)
% 1.59/0.69 % (1778906)lrs+10_1_si=on:cs=on:random_seed=3313501927:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.59/0.69 % (1778906)Instruction limit reached!
% 1.59/0.69 % (1778906)------------------------------
% 1.59/0.69 % (1778906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778906)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778906)Termination reason: Instruction limit
% 1.59/0.69 % (1778906)Termination phase: shuffling
% 1.59/0.69 % (1778906)Time elapsed: 0.004 s
% 1.59/0.69 % (1778906)Peak memory usage: 10 MB
% 1.59/0.69 % (1778906)Instructions burned: 8 (million)
% 1.59/0.69 % (1778905)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=2576083097:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.59/0.69 % (1778902)Instruction limit reached!
% 1.59/0.69 % (1778902)------------------------------
% 1.59/0.69 % (1778902)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778902)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778902)Termination reason: Instruction limit
% 1.59/0.69 % (1778902)Termination phase: shuffling
% 1.59/0.69 % (1778902)Time elapsed: 0.015 s
% 1.59/0.69 % (1778902)Peak memory usage: 10 MB
% 1.59/0.69 % (1778902)Instructions burned: 28 (million)
% 1.59/0.69 % (1778907)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.59/0.69 % (1778907)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=182288336:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.59/0.69 % (1778908)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1428133645:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.59/0.69 % (1778913)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3068245069:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.59/0.69 % (1778907)Instruction limit reached!
% 1.59/0.69 % (1778907)------------------------------
% 1.59/0.69 % (1778907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778907)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778907)Termination reason: Instruction limit
% 1.59/0.69 % (1778907)Termination phase: shuffling
% 1.59/0.69 % (1778907)Time elapsed: 0.003 s
% 1.59/0.69 % (1778907)Peak memory usage: 10 MB
% 1.59/0.69 % (1778907)Instructions burned: 2 (million)
% 1.59/0.69 % (1778913)Instruction limit reached!
% 1.59/0.69 % (1778913)------------------------------
% 1.59/0.69 % (1778913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778913)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778913)Termination reason: Instruction limit
% 1.59/0.69 % (1778913)Termination phase: shuffling
% 1.59/0.69 % (1778913)Time elapsed: 0.007 s
% 1.59/0.69 % (1778913)Peak memory usage: 10 MB
% 1.59/0.69 % (1778913)Instructions burned: 26 (million)
% 1.59/0.69 % (1778912)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4286286264:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.59/0.69 % (1778922)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=169575839:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.59/0.69 % (1778922)Instruction limit reached!
% 1.59/0.69 % (1778922)------------------------------
% 1.59/0.69 % (1778922)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778922)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778922)Termination reason: Instruction limit
% 1.59/0.69 % (1778922)Termination phase: shuffling
% 1.59/0.69 % (1778922)Time elapsed: 0.004 s
% 1.59/0.69 % (1778922)Peak memory usage: 10 MB
% 1.59/0.69 % (1778922)Instructions burned: 15 (million)
% 1.59/0.69 % (1778916)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2364324077:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.59/0.69 % (1778908)Instruction limit reached!
% 1.59/0.69 % (1778908)------------------------------
% 1.59/0.69 % (1778908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778908)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778908)Termination reason: Instruction limit
% 1.59/0.69 % (1778908)Termination phase: Property scanning
% 1.59/0.69 % (1778908)Time elapsed: 0.030 s
% 1.59/0.69 % (1778908)Peak memory usage: 10 MB
% 1.59/0.69 % (1778908)Instructions burned: 38 (million)
% 1.59/0.69 % (1778921)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3552857930:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.59/0.69 % (1778916)Instruction limit reached!
% 1.59/0.69 % (1778916)------------------------------
% 1.59/0.69 % (1778916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778916)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778916)Termination reason: Instruction limit
% 1.59/0.69 % (1778916)Termination phase: shuffling
% 1.59/0.69 % (1778916)Time elapsed: 0.012 s
% 1.59/0.69 % (1778916)Peak memory usage: 10 MB
% 1.59/0.69 % (1778916)Instructions burned: 14 (million)
% 1.59/0.69 % (1778925)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2228085749: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)
% 1.59/0.69 % (1778928)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3377487035:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.59/0.69 % (1778925)Instruction limit reached!
% 1.59/0.69 % (1778925)------------------------------
% 1.59/0.69 % (1778925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778925)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778925)Termination reason: Instruction limit
% 1.59/0.69 % (1778925)Termination phase: shuffling
% 1.59/0.69 % (1778925)Time elapsed: 0.003 s
% 1.59/0.69 % (1778925)Peak memory usage: 10 MB
% 1.59/0.69 % (1778925)Instructions burned: 3 (million)
% 1.59/0.69 % (1778928)Instruction limit reached!
% 1.59/0.69 % (1778928)------------------------------
% 1.59/0.69 % (1778928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778928)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778928)Termination reason: Instruction limit
% 1.59/0.69 % (1778928)Termination phase: shuffling
% 1.59/0.69 % (1778928)Time elapsed: 0.008 s
% 1.59/0.69 % (1778928)Peak memory usage: 10 MB
% 1.59/0.69 % (1778928)Instructions burned: 30 (million)
% 1.59/0.69 % (1778935)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
% 1.59/0.69 % (1778935)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.59/0.69 % (1778931)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3951288471:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.59/0.69 % (1778905)Instruction limit reached!
% 1.59/0.69 % (1778905)------------------------------
% 1.59/0.69 % (1778905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778905)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778905)Termination reason: Instruction limit
% 1.59/0.69 % (1778905)Termination phase: Property scanning
% 1.59/0.69 % (1778905)Time elapsed: 0.073 s
% 1.59/0.69 % (1778905)Peak memory usage: 11 MB
% 1.59/0.69 % (1778905)Instructions burned: 86 (million)
% 1.59/0.69 % (1778935)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=2896502170:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.59/0.69 % (1778935)Instruction limit reached!
% 1.59/0.69 % (1778935)------------------------------
% 1.59/0.69 % (1778935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778935)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778935)Termination reason: Instruction limit
% 1.59/0.69 % (1778935)Termination phase: shuffling
% 1.59/0.69 % (1778935)Time elapsed: 0.007 s
% 1.59/0.69 % (1778935)Peak memory usage: 10 MB
% 1.59/0.69 % (1778935)Instructions burned: 16 (million)
% 1.59/0.69 % (1778934)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2565008592:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.59/0.69 % (1778931)Instruction limit reached!
% 1.59/0.69 % (1778931)------------------------------
% 1.59/0.69 % (1778931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.69 % (1778931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.69 % (1778931)CaDiCaL version: 2.1.3
% 1.59/0.69 % (1778931)Termination reason: Instruction limit
% 1.59/0.69 % (1778931)Termination phase: shuffling
% 1.59/0.69 % (1778931)Time elapsed: 0.016 s
% 1.59/0.69 % (1778931)Peak memory usage: 10 MB
% 1.59/0.69 % (1778931)Instructions burned: 23 (million)
% 1.59/0.69 % (1778884) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1778875-1778884"...
% 1.59/0.69 % (1778939)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.59/0.69 % (1778941)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=1222571884:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 1.59/0.69 % (1778939)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=1199434697:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.59/0.69 % (1778943)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=2971426310:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 1.59/0.69 % (1778884)...printing done.
% 1.59/0.69 % (1778884)Refutation found. Thanks to Tanya!
% 1.59/0.69 % SZS status Theorem for theBenchmark
% 1.59/0.69 % SZS output start Proof for theBenchmark
% 1.59/0.69 thf(type_def_5, type, product_prod: ($tType * $tType) > $tType).
% 1.59/0.69 thf(type_def_6, type, state: $tType).
% 1.59/0.69 thf(type_def_7, type, com: $tType).
% 1.59/0.69 thf(type_def_8, type, list: $tType > $tType).
% 1.59/0.69 thf(type_def_9, type, set: $tType > $tType).
% 1.59/0.69 thf(type_def_10, type, nat: $tType).
% 1.59/0.69 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 1.59/0.69 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 1.59/0.69 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 1.59/0.69 thf(func_def_2, type, linorder: !>[X0: $tType]:($o)).
% 1.59/0.69 thf(func_def_3, type, append: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_4, type, bind: !>[X0: $tType, X1: $tType]:((list @ X0 > (X0 > list @ X1) > list @ X1))).
% 1.59/0.69 thf(func_def_5, type, butlast: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_6, type, concat: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_7, type, insert: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_8, type, last: !>[X0: $tType]:((list @ X0 > X0))).
% 1.59/0.69 thf(func_def_9, type, lenlex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 1.59/0.69 thf(func_def_10, type, lex: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 1.59/0.69 thf(func_def_11, type, lexord: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 1.59/0.69 thf(func_def_12, type, cons: !>[X0: $tType]:((X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_13, type, nil: !>[X0: $tType]:(list @ X0)).
% 1.59/0.69 thf(func_def_14, type, list_ex1: !>[X0: $tType]:(((X0 > $o) > list @ X0 > $o))).
% 1.59/0.69 thf(func_def_15, type, list_update: !>[X0: $tType]:((list @ X0 > nat > X0 > list @ X0))).
% 1.59/0.69 thf(func_def_16, type, listrel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ product_prod @ list @ X0 @ list @ X1))).
% 1.59/0.69 thf(func_def_17, type, listrel1: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ list @ X0 @ list @ X0))).
% 1.59/0.69 thf(func_def_18, type, maps: !>[X0: $tType, X1: $tType]:(((X0 > list @ X1) > list @ X0 > list @ X1))).
% 1.59/0.69 thf(func_def_19, type, measures: !>[X0: $tType]:((list @ (X0 > nat) > set @ product_prod @ X0 @ X0))).
% 1.59/0.69 thf(func_def_20, type, nth: !>[X0: $tType]:((list @ X0 > nat > X0))).
% 1.59/0.69 thf(func_def_21, type, product_lists: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.59/0.69 thf(func_def_22, type, rotate1: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_23, type, subseqs: !>[X0: $tType]:((list @ X0 > list @ list @ X0))).
% 1.59/0.69 thf(func_def_24, type, take: !>[X0: $tType]:((nat > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_25, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 1.59/0.69 thf(func_def_26, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.59/0.69 thf(func_def_27, type, pHoare1053570893_exec1: set @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state).
% 1.59/0.69 thf(func_def_28, type, pHoare1053570959_execs: (state > list @ com > state > $o)).
% 1.59/0.69 thf(func_def_29, type, pHoare1335526537termis: (list @ com > state > $o)).
% 1.59/0.69 thf(func_def_30, type, cond: ((state > $o) > com > com > com)).
% 1.59/0.69 thf(func_def_31, type, do: ((state > set @ state) > com)).
% 1.59/0.69 thf(func_def_32, type, semi: (com > com > com)).
% 1.59/0.69 thf(func_def_33, type, while: ((state > $o) > com > com)).
% 1.59/0.69 thf(func_def_34, type, exec: (state > com > state > $o)).
% 1.59/0.69 thf(func_def_35, type, termi: (com > state > $o)).
% 1.59/0.69 thf(func_def_36, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 1.59/0.69 thf(func_def_37, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.59/0.69 thf(func_def_38, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 1.59/0.69 thf(func_def_39, type, irrefl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 1.59/0.69 thf(func_def_40, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 1.59/0.69 thf(func_def_41, type, transitive_rtrancl: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X0 @ X0))).
% 1.59/0.69 thf(func_def_42, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 1.59/0.69 thf(func_def_43, type, c: com).
% 1.59/0.69 thf(func_def_44, type, c2: com).
% 1.59/0.69 thf(func_def_45, type, cs: list @ com).
% 1.59/0.69 thf(func_def_46, type, s: state).
% 1.59/0.69 thf(func_def_47, type, s2: state).
% 1.59/0.69 thf(func_def_51, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.59/0.69 thf(func_def_52, type, vNOT: ($o > $o)).
% 1.59/0.69 thf(func_def_53, type, db0: !>[X0: $tType]:(X0)).
% 1.59/0.69 thf(func_def_54, type, db1: !>[X0: $tType]:(X0)).
% 1.59/0.69 thf(func_def_55, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 1.59/0.69 thf(func_def_56, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 1.59/0.69 thf(func_def_57, type, vAND: ($o > $o > $o)).
% 1.59/0.69 thf(func_def_58, type, vIMP: ($o > $o > $o)).
% 1.59/0.69 thf(func_def_59, type, db2: !>[X0: $tType]:(X0)).
% 1.59/0.69 thf(func_def_60, type, vOR: ($o > $o > $o)).
% 1.59/0.69 thf(func_def_61, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 1.59/0.69 thf(func_def_62, type, db3: !>[X0: $tType]:(X0)).
% 1.59/0.69 thf(func_def_63, type, db4: !>[X0: $tType]:(X0)).
% 1.59/0.69 thf(func_def_64, type, db5: !>[X0: $tType]:(X0)).
% 1.59/0.69 thf(func_def_65, type, db6: !>[X0: $tType]:(X0)).
% 1.59/0.69 thf(func_def_66, type, db7: !>[X0: $tType]:(X0)).
% 1.59/0.69 thf(func_def_67, type, sK0: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 1.59/0.69 thf(func_def_68, type, sK1: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.59/0.69 thf(func_def_69, type, sK2: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_70, type, sK3: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 1.59/0.69 thf(func_def_71, type, sK4: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_72, type, sK5: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X0))).
% 1.59/0.69 thf(func_def_73, type, sK6: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.59/0.69 thf(func_def_74, type, sK7: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > X1))).
% 1.59/0.69 thf(func_def_75, type, sK8: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > X0 > X0))).
% 1.59/0.69 thf(func_def_76, type, sK9: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.59/0.69 thf(func_def_77, type, sK10: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.59/0.69 thf(func_def_78, type, sK11: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.59/0.69 thf(func_def_79, type, sK12: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > list @ X1))).
% 1.59/0.69 thf(func_def_80, type, sK13: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.59/0.69 thf(func_def_81, type, sK14: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1 > X0))).
% 1.59/0.69 thf(func_def_82, type, sK15: !>[X0: $tType, X1: $tType]:((((X1 > X0) > list @ X1 > $o) > X1))).
% 1.59/0.69 thf(func_def_83, type, sK16: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1 > X0 > X1))).
% 1.59/0.69 thf(func_def_84, type, sK17: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1 > X0 > X1))).
% 1.59/0.69 thf(func_def_85, type, sK18: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1 > X0 > X0))).
% 1.59/0.69 thf(func_def_86, type, sK19: !>[X0: $tType, X1: $tType]:((set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1 > X0 > X0))).
% 1.59/0.69 thf(func_def_87, type, sK20: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > X0))).
% 1.59/0.69 thf(func_def_88, type, sK21: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_89, type, sK22: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_90, type, sK23: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_91, type, sK24: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_92, type, sK25: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_93, type, sK26: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X1))).
% 1.59/0.69 thf(func_def_94, type, sK27: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.59/0.69 thf(func_def_95, type, sK28: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_96, type, sK29: !>[X0: $tType, X1: $tType]:(((list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_97, type, sK30: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_98, type, sK31: !>[X0: $tType]:((list @ X0 > X0))).
% 1.59/0.69 thf(func_def_99, type, sK32: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_100, type, sK33: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 1.59/0.69 thf(func_def_101, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > X2))).
% 1.59/0.69 thf(func_def_102, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > X0))).
% 1.59/0.69 thf(func_def_103, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > X1))).
% 1.59/0.69 thf(func_def_104, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X1 @ X0 > X3))).
% 1.59/0.69 thf(func_def_105, type, sK38: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_106, type, sK39: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_107, type, sK40: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > X0 > list @ X0 > list @ X1 > X1))).
% 1.59/0.69 thf(func_def_108, type, sK41: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X1 @ X0 > X0 > list @ X0 > list @ X1 > list @ X1))).
% 1.59/0.69 thf(func_def_109, type, sK42: ((state > list @ com > state > $o) > state)).
% 1.59/0.69 thf(func_def_110, type, sK43: ((state > list @ com > state > $o) > state)).
% 1.59/0.69 thf(func_def_111, type, sK44: ((state > list @ com > state > $o) > state)).
% 1.59/0.69 thf(func_def_112, type, sK45: ((state > list @ com > state > $o) > list @ com)).
% 1.59/0.69 thf(func_def_113, type, sK46: ((state > list @ com > state > $o) > com)).
% 1.59/0.69 thf(func_def_114, type, sK47: ((state > list @ com > state > $o) > state)).
% 1.59/0.69 thf(func_def_115, type, sK48: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_116, type, sK49: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_117, type, sK50: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_118, type, sK51: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_119, type, sK52: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_120, type, sK53: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_121, type, sK54: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 1.59/0.69 thf(func_def_122, type, sK55: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 1.59/0.69 thf(func_def_123, type, sK56: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 1.59/0.69 thf(func_def_124, type, sK57: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 1.59/0.69 thf(func_def_125, type, sK58: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1))).
% 1.59/0.69 thf(func_def_126, type, sK59: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > list @ X1))).
% 1.59/0.69 thf(func_def_127, type, sK60: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ list @ X1 > X1 > X0))).
% 1.59/0.69 thf(func_def_128, type, sK61: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_129, type, sK62: !>[X0: $tType]:((list @ X0 > X0))).
% 1.59/0.69 thf(func_def_130, type, sK63: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_131, type, sK64: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_132, type, sK65: !>[X0: $tType]:((list @ X0 > X0))).
% 1.59/0.69 thf(func_def_133, type, sK66: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_134, type, sK67: !>[X0: $tType]:((list @ X0 > X0))).
% 1.59/0.69 thf(func_def_135, type, sK68: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_136, type, sK69: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ product_prod @ X0 @ X0 > nat))).
% 1.59/0.69 thf(func_def_137, type, sK70: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_138, type, sK71: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_139, type, sK72: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_140, type, sK73: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_141, type, sK74: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_142, type, sK75: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_143, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X2))).
% 1.59/0.69 thf(func_def_144, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X5))).
% 1.59/0.69 thf(func_def_145, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X0))).
% 1.59/0.69 thf(func_def_146, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X4))).
% 1.59/0.69 thf(func_def_147, type, sK80: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X1))).
% 1.59/0.69 thf(func_def_148, type, sK81: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X6))).
% 1.59/0.69 thf(func_def_149, type, sK82: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X6 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X1 @ X5 > X3))).
% 1.59/0.69 thf(func_def_150, type, sK83: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_151, type, sK84: !>[X0: $tType]:((nat > (nat > X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_152, type, sK85: !>[X0: $tType]:((list @ X0 > nat > (nat > X0 > $o) > nat))).
% 1.59/0.69 thf(func_def_153, type, sK86: !>[X0: $tType]:((nat > (nat > X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_154, type, sK87: !>[X0: $tType]:((nat > (nat > X0 > $o) > nat))).
% 1.59/0.69 thf(func_def_155, type, sK88: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X1))).
% 1.59/0.69 thf(func_def_156, type, sK89: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1))).
% 1.59/0.69 thf(func_def_157, type, sK90: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0))).
% 1.59/0.69 thf(func_def_158, type, sK91: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_159, type, sK92: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_160, type, sK93: !>[X0: $tType, X1: $tType]:((product_prod @ (X1 > X0) @ product_prod @ list @ X1 @ list @ X0 > X1 > X0))).
% 1.59/0.69 thf(func_def_161, type, sK94: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_162, type, sK95: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X0 > X0 > X1 > X1))).
% 1.59/0.69 thf(func_def_163, type, sK96: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > X0 > X0 > X1 > X0))).
% 1.59/0.69 thf(func_def_164, type, sK97: !>[X0: $tType]:((list @ X0 > list @ X0 > nat))).
% 1.59/0.69 thf(func_def_165, type, sK98: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_166, type, sK99: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_167, type, sK100: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 1.59/0.69 thf(func_def_168, type, sK101: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_169, type, sK102: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 1.59/0.69 thf(func_def_170, type, sK103: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 1.59/0.69 thf(func_def_171, type, sK104: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 1.59/0.69 thf(func_def_172, type, sK105: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_173, type, sK106: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 1.59/0.69 thf(func_def_174, type, sK107: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 1.59/0.69 thf(func_def_175, type, sK108: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 1.59/0.69 thf(func_def_176, type, sK109: !>[X0: $tType]:(((X0 > $o) > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_177, type, sK110: !>[X0: $tType]:(((X0 > $o) > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_178, type, sK111: !>[X0: $tType]:((list @ X0 > X0))).
% 1.59/0.69 thf(func_def_179, type, sK112: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_180, type, sK113: !>[X0: $tType]:((list @ X0 > X0))).
% 1.59/0.69 thf(func_def_181, type, sK114: !>[X0: $tType]:((list @ X0 > X0))).
% 1.59/0.69 thf(func_def_182, type, sK115: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.59/0.69 thf(func_def_183, type, sK116: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_184, type, sK117: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_185, type, sK118: !>[X0: $tType]:((list @ X0 > list @ X0 > X0))).
% 1.59/0.69 thf(func_def_186, type, sK119: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_187, type, sK120: !>[X0: $tType, X1: $tType]:((X0 > X1 > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1))).
% 1.59/0.69 thf(func_def_188, type, sK121: !>[X0: $tType, X1: $tType]:((X0 > X1 > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > (X1 > X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_189, type, sK122: !>[X0: $tType, X1: $tType]:((X0 > X1 > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > (X1 > X0 > $o) > X1))).
% 1.59/0.69 thf(func_def_190, type, sK123: !>[X0: $tType, X1: $tType]:((X0 > X1 > set @ product_prod @ product_prod @ X1 @ X0 @ product_prod @ X1 @ X0 > (X1 > X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_191, type, sK124: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_192, type, sK125: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_193, type, sK126: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X2))).
% 1.59/0.69 thf(func_def_194, type, sK127: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X3))).
% 1.59/0.69 thf(func_def_195, type, sK128: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X1))).
% 1.59/0.69 thf(func_def_196, type, sK129: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X0))).
% 1.59/0.69 thf(func_def_197, type, sK130: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X1))).
% 1.59/0.69 thf(func_def_198, type, sK131: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X5))).
% 1.59/0.69 thf(func_def_199, type, sK132: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X4))).
% 1.59/0.69 thf(func_def_200, type, sK133: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X6))).
% 1.59/0.69 thf(func_def_201, type, sK134: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X3))).
% 1.59/0.69 thf(func_def_202, type, sK135: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X2))).
% 1.59/0.69 thf(func_def_203, type, sK136: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X6 @ product_prod @ X4 @ product_prod @ X2 @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_204, type, sK137: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > list @ X0 > list @ X1 > list @ X0))).
% 1.59/0.69 thf(func_def_205, type, sK138: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > list @ X0 > list @ X1 > X1))).
% 1.59/0.69 thf(func_def_206, type, sK139: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > list @ X0 > list @ X1 > X0))).
% 1.59/0.69 thf(func_def_207, type, sK140: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > list @ X0 > list @ X1 > list @ X1))).
% 1.59/0.69 thf(func_def_208, type, sK141: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_209, type, sK142: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_210, type, sK143: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ product_prod @ X0 @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_211, type, sK144: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ product_prod @ X0 @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_212, type, sK145: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_213, type, sK146: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_214, type, sK147: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_215, type, sK148: !>[X0: $tType]:(((list @ X0 > list @ X0 > $o) > list @ X0))).
% 1.59/0.69 thf(func_def_216, type, sK149: (com > com > state > state)).
% 1.59/0.69 thf(func_def_217, type, sK150: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_218, type, sK151: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 1.59/0.69 thf(func_def_219, type, sK152: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 1.59/0.69 thf(func_def_220, type, sK153: !>[X0: $tType]:((X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 1.59/0.69 thf(func_def_221, type, sK154: !>[X0: $tType]:((X0 > X0 > X0))).
% 1.59/0.69 thf(func_def_222, type, sK155: !>[X0: $tType]:((list @ X0 > set @ product_prod @ X0 @ X0 > list @ X0 > X0))).
% 1.59/0.69 thf(func_def_223, type, sK156: !>[X0: $tType]:((list @ X0 > set @ product_prod @ X0 @ X0 > list @ X0 > nat))).
% 1.59/0.69 thf(func_def_224, type, sK157: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X2))).
% 1.59/0.69 thf(func_def_225, type, sK158: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X4))).
% 1.59/0.69 thf(func_def_226, type, sK159: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X1))).
% 1.59/0.69 thf(func_def_227, type, sK160: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X3))).
% 1.59/0.69 thf(func_def_228, type, sK161: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X5))).
% 1.59/0.69 thf(func_def_229, type, sK162: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X0))).
% 1.59/0.69 thf(func_def_230, type, sK163: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 1.59/0.69 thf(func_def_231, type, sK164: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_232, type, sK165: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_233, type, sK166: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > list @ X0 > list @ list @ X0))).
% 1.59/0.69 thf(func_def_234, type, sK167: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_235, type, sK168: !>[X0: $tType]:((list @ X0 > list @ list @ X0 > list @ X0 > list @ list @ X0))).
% 1.59/0.69 thf(func_def_236, type, sK169: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X1))).
% 1.59/0.69 thf(func_def_237, type, sK170: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X0))).
% 1.59/0.69 thf(func_def_238, type, sK171: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X1 @ product_prod @ X0 @ X2 > $o) > X2))).
% 1.59/0.69 thf(func_def_239, type, sK172: !>[X0: $tType]:((X0 > list @ X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_240, type, sK173: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_241, type, sK174: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_242, type, sK175: !>[X0: $tType]:(((X0 > X0 > $o) > set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.69 thf(func_def_243, type, sK176: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 1.59/0.69 thf(func_def_244, type, sK177: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X2))).
% 1.59/0.69 thf(func_def_245, type, sK178: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X1))).
% 1.59/0.69 thf(func_def_246, type, sK179: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X5))).
% 1.59/0.69 thf(func_def_247, type, sK180: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X0))).
% 1.59/0.69 thf(func_def_248, type, sK181: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X4))).
% 1.59/0.69 thf(func_def_249, type, sK182: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X5 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X2 @ X1 > X3))).
% 1.59/0.69 thf(func_def_250, type, sK183: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > list @ X0))).
% 1.59/0.69 thf(func_def_251, type, sK184: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0))).
% 1.59/0.69 thf(func_def_252, type, sK185: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 1.59/0.69 thf(func_def_253, type, sK186: !>[X0: $tType]:((product_prod @ (X0 > X0 > $o) @ list @ X0 > X0 > X0 > $o))).
% 1.59/0.69 thf(func_def_254, type, sK187: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X1))).
% 1.59/0.69 thf(func_def_255, type, sK188: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X2))).
% 1.59/0.69 thf(func_def_256, type, sK189: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X0 @ product_prod @ X2 @ X1 > X0))).
% 1.59/0.69 thf(func_def_257, type, sK190: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ X4 > $o) > X2))).
% 1.59/0.70 thf(func_def_258, type, sK191: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ X4 > $o) > X3))).
% 1.59/0.70 thf(func_def_259, type, sK192: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ X4 > $o) > X4))).
% 1.59/0.70 thf(func_def_260, type, sK193: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ X4 > $o) > X1))).
% 1.59/0.70 thf(func_def_261, type, sK194: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ X4 > $o) > X0))).
% 1.59/0.70 thf(func_def_262, type, sK195: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_263, type, sK196: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_264, type, sK197: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_265, type, sK198: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_266, type, sK199: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 1.59/0.70 thf(func_def_267, type, sK200: !>[X0: $tType]:((product_prod @ list @ X0 @ list @ X0 > X0))).
% 1.59/0.70 thf(func_def_268, type, sK201: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_269, type, sK202: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_270, type, sK203: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 1.59/0.70 thf(func_def_271, type, sK204: !>[X0: $tType]:((list @ X0 > list @ X0 > list @ list @ X0 > list @ list @ X0))).
% 1.59/0.70 thf(func_def_272, type, sK205: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.59/0.70 thf(func_def_273, type, sK206: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 1.59/0.70 thf(func_def_274, type, sK207: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_275, type, sK208: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.59/0.70 thf(func_def_276, type, sK209: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_277, type, sK210: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_278, type, sK211: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.59/0.70 thf(func_def_279, type, sK212: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.59/0.70 thf(func_def_280, type, sK213: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_281, type, sK214: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_282, type, sK215: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 1.59/0.70 thf(func_def_283, type, sK216: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 1.59/0.70 thf(func_def_284, type, sK217: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_285, type, sK218: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_286, type, sK219: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.59/0.70 thf(func_def_287, type, sK220: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 1.59/0.70 thf(func_def_288, type, sK221: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.59/0.70 thf(func_def_289, type, sK222: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0))).
% 1.59/0.70 thf(func_def_290, type, sK223: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > X0 > X1))).
% 1.59/0.70 thf(func_def_291, type, sK224: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X0))).
% 1.59/0.70 thf(func_def_292, type, sK225: !>[X0: $tType, X1: $tType]:((((X0 > X1) > list @ X0 > list @ X1 > $o) > list @ X1))).
% 1.59/0.70 thf(func_def_293, type, sK226: !>[X0: $tType]:((list @ X0 > X0))).
% 1.59/0.70 thf(func_def_294, type, sK227: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_295, type, sK228: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 1.59/0.70 thf(func_def_296, type, sK229: !>[X0: $tType]:(((X0 > $o) > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 1.59/0.70 thf(func_def_297, type, sK230: (state > com > list @ com > state)).
% 1.59/0.70 thf(func_def_298, type, sK231: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > set @ product_prod @ X1 @ X0 > list @ X0 > X0))).
% 1.59/0.70 thf(func_def_299, type, sK232: !>[X0: $tType, X1: $tType]:((list @ X1 > X1 > set @ product_prod @ X1 @ X0 > list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_300, type, sK233: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.59/0.70 thf(func_def_301, type, sK234: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_302, type, sK235: (state > state > list @ com > list @ com)).
% 1.59/0.70 thf(func_def_303, type, sK236: (state > state > list @ com > state)).
% 1.59/0.70 thf(func_def_304, type, sK237: (state > state > list @ com > com)).
% 1.59/0.70 thf(func_def_305, type, sK238: !>[X0: $tType]:((X0 > X0 > set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.70 thf(func_def_306, type, sK239: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.59/0.70 thf(func_def_307, type, sK240: !>[X0: $tType]:((list @ list @ X0 > X0))).
% 1.59/0.70 thf(func_def_308, type, sK241: !>[X0: $tType]:((list @ list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_309, type, sK242: !>[X0: $tType]:((list @ list @ X0 > list @ list @ X0))).
% 1.59/0.70 thf(func_def_310, type, sK243: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X0))).
% 1.59/0.70 thf(func_def_311, type, sK244: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X2))).
% 1.59/0.70 thf(func_def_312, type, sK245: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X1))).
% 1.59/0.70 thf(func_def_313, type, sK246: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > list @ X1))).
% 1.59/0.70 thf(func_def_314, type, sK247: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X2))).
% 1.59/0.70 thf(func_def_315, type, sK248: !>[X0: $tType, X1: $tType, X2: $tType]:(((list @ X2 > list @ X1 > list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_316, type, sK249: !>[X0: $tType]:((list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_317, type, sK250: !>[X0: $tType]:((list @ X0 > X0))).
% 1.59/0.70 thf(func_def_318, type, sK251: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.59/0.70 thf(func_def_319, type, sK252: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.70 thf(func_def_320, type, sK253: !>[X0: $tType]:((list @ X0 > X0 > list @ X0 > list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_321, type, sK254: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ product_prod @ X0 @ X0 > X0 > list @ X0))).
% 1.59/0.70 thf(func_def_322, type, sK255: !>[X0: $tType]:((list @ X0 > list @ X0 > set @ product_prod @ X0 @ X0 > X0 > X0))).
% 1.59/0.70 thf(func_def_323, type, sK256: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.70 thf(func_def_324, type, sK257: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_325, type, sK258: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_326, type, sK259: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.59/0.70 thf(func_def_327, type, sK260: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_328, type, sK261: !>[X0: $tType]:(((list @ X0 > $o) > list @ X0))).
% 1.59/0.70 thf(func_def_329, type, sK262: !>[X0: $tType]:(((list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_330, type, sK263: !>[X0: $tType, X1: $tType]:((list @ X1 > set @ product_prod @ X1 @ X0 > list @ X0 > X0))).
% 1.59/0.70 thf(func_def_331, type, sK264: !>[X0: $tType, X1: $tType]:((list @ X1 > set @ product_prod @ X1 @ X0 > list @ X0 > X1))).
% 1.59/0.70 thf(func_def_332, type, sK265: !>[X0: $tType, X1: $tType]:((list @ X1 > set @ product_prod @ X1 @ X0 > list @ X0 > list @ X0))).
% 1.59/0.70 thf(func_def_333, type, sK266: !>[X0: $tType, X1: $tType]:((list @ X1 > set @ product_prod @ X1 @ X0 > list @ X0 > list @ X1))).
% 1.59/0.70 thf(func_def_334, type, sK267: !>[X0: $tType]:((nat > list @ X0))).
% 1.59/0.70 thf(func_def_335, type, sK268: (state > com > (state > $o) > state)).
% 1.59/0.70 thf(func_def_336, type, sK269: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > list @ X1 > list @ X0 > nat))).
% 1.59/0.70 thf(func_def_337, type, sK270: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0))).
% 1.59/0.70 thf(func_def_338, type, sK271: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > set @ product_prod @ X0 @ X1 > list @ X1))).
% 1.59/0.70 thf(func_def_339, type, sK272: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > set @ product_prod @ X0 @ X1 > X1))).
% 1.59/0.70 thf(func_def_340, type, sK273: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > set @ product_prod @ X0 @ X1 > X0))).
% 1.59/0.70 thf(func_def_341, type, sK274: !>[X0: $tType, X1: $tType]:(((list @ X0 > list @ X1 > $o) > set @ product_prod @ X0 @ X1 > list @ X0))).
% 1.59/0.70 thf(func_def_342, type, sK275: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.59/0.70 thf(func_def_343, type, sK276: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > list @ X0))).
% 1.59/0.70 thf(func_def_344, type, sK277: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0 > X0 > $o))).
% 1.59/0.70 thf(func_def_345, type, sK278: !>[X0: $tType]:((((X0 > X0 > $o) > list @ X0 > $o) > X0))).
% 1.59/0.70 thf(func_def_346, type, sK279: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 1.59/0.70 thf(func_def_347, type, sK280: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 1.59/0.70 thf(func_def_348, type, sK281: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X4 > X2))).
% 1.59/0.70 thf(func_def_349, type, sK282: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X4 > X1))).
% 1.59/0.70 thf(func_def_350, type, sK283: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X4 > X3))).
% 1.59/0.70 thf(func_def_351, type, sK284: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X4 > X4))).
% 1.59/0.70 thf(func_def_352, type, sK285: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X3 @ product_prod @ X0 @ X4 > X0))).
% 1.59/0.70 thf(f262,axiom,(
% 1.59/0.70 (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 @ c @ nil @ com) @ s) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ s2)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1))),
% 1.59/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 1.59/0.70 thf(f263,axiom,(
% 1.59/0.70 (termi @ c @ s)),
% 1.59/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 1.59/0.70 thf(f264,axiom,(
% 1.59/0.70 ! [X1 : state,X0 : 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 @ (product_Pair @ list @ com @ state @ (cons @ com @ c @ nil @ com) @ X0) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ X1)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1)) => ((termi @ c @ X0) => ((termi @ c2 @ X1) & ! [X2 : state] : ((exec @ X1 @ c2 @ X2) => (pHoare1335526537termis @ cs @ X2)))))),
% 1.59/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2)).
% 1.59/0.70 thf(f265,conjecture,(
% 1.59/0.70 (termi @ c2 @ s2)),
% 1.59/0.70 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3)).
% 1.59/0.70 thf(f266,negated_conjecture,(
% 1.59/0.70 ~(termi @ c2 @ s2)),
% 1.59/0.70 inference(negated_conjecture,[status(cth)],[f265])).
% 1.59/0.70 thf(f383,plain,(
% 1.59/0.70 ! [X0 : state,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 @ (product_Pair @ list @ com @ state @ (cons @ com @ c @ nil @ com) @ X1) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ X0)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1)) => ((termi @ c @ X1) => ((termi @ c2 @ X0) & ! [X2 : state] : ((exec @ X0 @ c2 @ X2) => (pHoare1335526537termis @ cs @ X2)))))),
% 1.59/0.70 inference(rectify,[],[f264])).
% 1.59/0.70 thf(f384,plain,(
% 1.59/0.70 ! [X0 : state,X1 : state] : (($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 @ (product_Pair @ list @ com @ state @ (cons @ com @ c @ nil @ com) @ X1) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ X0)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1)))) => (($true = ((termi @ c @ X1))) => (($true = ((termi @ c2 @ X0))) & ! [X2 : state] : ((((exec @ X0 @ c2 @ X2)) = $true) => (((pHoare1335526537termis @ cs @ X2)) = $true)))))),
% 1.59/0.70 inference(fool_elimination,[],[f383])).
% 1.59/0.70 thf(f397,plain,(
% 1.59/0.70 (termi @ c @ s)),
% 1.59/0.70 inference(rectify,[],[f263])).
% 1.59/0.70 thf(f398,plain,(
% 1.59/0.70 (((termi @ c @ s)) = $true)),
% 1.59/0.70 inference(fool_elimination,[],[f397])).
% 1.59/0.70 thf(f470,plain,(
% 1.59/0.70 ~(termi @ c2 @ s2)),
% 1.59/0.70 inference(rectify,[],[f266])).
% 1.59/0.70 thf(f471,plain,(
% 1.59/0.70 ~ (((termi @ c2 @ s2)) = $true)),
% 1.59/0.70 inference(fool_elimination,[],[f470])).
% 1.59/0.70 thf(f562,plain,(
% 1.59/0.70 (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 @ c @ nil @ com) @ s) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ s2)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1))),
% 1.59/0.70 inference(rectify,[],[f262])).
% 1.59/0.70 thf(f563,plain,(
% 1.59/0.70 (((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 @ c @ nil @ com) @ s) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ s2)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1))) = $true)),
% 1.59/0.70 inference(fool_elimination,[],[f562])).
% 1.59/0.70 thf(f684,plain,(
% 1.59/0.70 (((termi @ c2 @ s2)) != $true)),
% 1.59/0.70 inference(flattening,[],[f471])).
% 1.59/0.70 thf(f875,plain,(
% 1.59/0.70 ! [X0 : state,X1 : state] : (((($true = ((termi @ c2 @ X0))) & ! [X2 : state] : ((((exec @ X0 @ c2 @ X2)) != $true) | (((pHoare1335526537termis @ cs @ X2)) = $true))) | ($true != ((termi @ c @ X1)))) | ($true != ((member @ product_prod @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ product_prod @ list @ com @ state @ product_prod @ list @ com @ state @ (product_Pair @ list @ com @ state @ (cons @ com @ c @ nil @ com) @ X1) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ X0)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1)))))),
% 1.59/0.70 inference(ennf_transformation,[],[f384])).
% 1.59/0.70 thf(f876,plain,(
% 1.59/0.70 ! [X1 : state,X0 : state] : ((($true = ((termi @ c2 @ X0))) & ! [X2 : state] : ((((exec @ X0 @ c2 @ X2)) != $true) | (((pHoare1335526537termis @ cs @ X2)) = $true))) | ($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 @ (product_Pair @ list @ com @ state @ (cons @ com @ c @ nil @ com) @ X1) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ X0)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1)))) | ($true != ((termi @ c @ X1))))),
% 1.59/0.70 inference(flattening,[],[f875])).
% 1.59/0.70 thf(f1278,plain,(
% 1.59/0.70 ! [X0 : state,X1 : state] : (((((termi @ c2 @ X1)) = $true) & ! [X2 : state] : ((((exec @ X1 @ c2 @ X2)) != $true) | (((pHoare1335526537termis @ cs @ X2)) = $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 @ (product_Pair @ list @ com @ state @ (cons @ com @ c @ nil @ com) @ X0) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ X1)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1))) != $true) | (((termi @ c @ X0)) != $true))),
% 1.59/0.70 inference(rectify,[],[f876])).
% 1.59/0.70 thf(f1334,plain,(
% 1.59/0.70 (((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 @ c @ nil @ com) @ s) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ s2)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1))) = $true)),
% 1.59/0.70 inference(cnf_transformation,[],[f563])).
% 1.59/0.70 thf(f1455,plain,(
% 1.59/0.70 (((termi @ c2 @ s2)) != $true)),
% 1.59/0.70 inference(cnf_transformation,[],[f684])).
% 1.59/0.70 thf(f1506,plain,(
% 1.59/0.70 (((termi @ c @ s)) = $true)),
% 1.59/0.70 inference(cnf_transformation,[],[f398])).
% 1.59/0.70 thf(f1763,plain,(
% 1.59/0.70 ( ! [X0 : state,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 @ (product_Pair @ list @ com @ state @ (cons @ com @ c @ nil @ com) @ X0) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ X1)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1))) != $true) | (((termi @ c2 @ X1)) = $true) | (((termi @ c @ X0)) != $true)) )),
% 1.59/0.70 inference(cnf_transformation,[],[f1278])).
% 1.59/0.70 thf(f1935,definition,(
% 1.59/0.70 spl286_3 <=> (((termi @ c2 @ s2)) = $true)),
% 1.59/0.70 introduced(definition,[new_symbols(definition,[spl286_3])],[avatar_definition])).
% 1.59/0.70 thf(f1937,plain,(
% 1.59/0.70 (((termi @ c2 @ s2)) != $true) | spl286_3),
% 1.59/0.70 inference(avatar_component_clause,[],[f1935])).
% 1.59/0.70 thf(f1938,plain,(
% 1.59/0.70 ~spl286_3),
% 1.59/0.70 inference(avatar_split_clause,[],[f1455,f1935])).
% 1.59/0.70 thf(f1940,definition,(
% 1.59/0.70 spl286_4 <=> (((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 @ c @ nil @ com) @ s) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ s2)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1))) = $true)),
% 1.59/0.70 introduced(definition,[new_symbols(definition,[spl286_4])],[avatar_definition])).
% 1.59/0.70 thf(f1942,plain,(
% 1.59/0.70 (((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 @ c @ nil @ com) @ s) @ (product_Pair @ list @ com @ state @ (cons @ com @ c2 @ cs) @ s2)) @ (transitive_rtrancl @ product_prod @ list @ com @ state @ pHoare1053570893_exec1))) = $true) | ~spl286_4),
% 1.59/0.70 inference(avatar_component_clause,[],[f1940])).
% 1.59/0.70 thf(f1943,plain,(
% 1.59/0.70 spl286_4),
% 1.59/0.70 inference(avatar_split_clause,[],[f1334,f1940])).
% 1.59/0.70 thf(f1950,definition,(
% 1.59/0.70 spl286_6 <=> (((termi @ c @ s)) = $true)),
% 1.59/0.70 introduced(definition,[new_symbols(definition,[spl286_6])],[avatar_definition])).
% 1.59/0.70 thf(f1952,plain,(
% 1.59/0.70 (((termi @ c @ s)) = $true) | ~spl286_6),
% 1.59/0.70 inference(avatar_component_clause,[],[f1950])).
% 1.59/0.70 thf(f1953,plain,(
% 1.59/0.70 spl286_6),
% 1.59/0.70 inference(avatar_split_clause,[],[f1506,f1950])).
% 1.59/0.70 thf(f1966,plain,(
% 1.59/0.70 (((termi @ c @ s)) != $true) | ($true != $true) | (((termi @ c2 @ s2)) = $true) | ~spl286_4),
% 1.59/0.70 inference(superposition,[],[f1763,f1942])).
% 1.59/0.70 thf(f1967,plain,(
% 1.59/0.70 (((termi @ c @ s)) != $true) | (((termi @ c2 @ s2)) = $true) | ~spl286_4),
% 1.59/0.70 inference(trivial_inequality_removal,[],[f1966])).
% 1.59/0.70 thf(f1968,plain,(
% 1.59/0.70 (((termi @ c2 @ s2)) = $true) | (~spl286_4 | ~spl286_6)),
% 1.59/0.70 inference(forward_subsumption_resolution,[],[f1967,f1952])).
% 1.59/0.70 thf(f1969,plain,(
% 1.59/0.70 $false | (spl286_3 | ~spl286_4 | ~spl286_6)),
% 1.59/0.70 inference(forward_subsumption_resolution,[],[f1968,f1937])).
% 1.59/0.70 thf(f1970,plain,(
% 1.59/0.70 spl286_3 | ~spl286_4 | ~spl286_6),
% 1.59/0.70 inference(avatar_contradiction_clause,[],[f1969])).
% 1.59/0.70 cnf(s3, plain, ~spl286_3, inference(sat_conversion,[],[f1938])).
% 1.59/0.70 cnf(s4, plain, spl286_4, inference(sat_conversion,[],[f1943])).
% 1.59/0.70 cnf(s6, plain, spl286_6, inference(sat_conversion,[],[f1953])).
% 1.59/0.70 cnf(s9, plain, spl286_3 | ~spl286_4 | ~spl286_6, inference(sat_conversion,[],[f1970])).
% 1.59/0.70 cnf(s10, plain, spl286_3, inference(rat,[],[s9,s6,s4])).
% 1.59/0.70 cnf(s11, plain, $false, inference(rat,[],[s3,s10])).
% 1.59/0.70 thf(f1971,plain,(
% 1.59/0.70 $false),
% 1.59/0.70 inference(avatar_sat_refutation,[],[s11])).
% 1.59/0.70 % SZS output end Proof for theBenchmark
% 1.59/0.70 % (1778884)------------------------------
% 1.59/0.70 % (1778884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.59/0.70 % (1778884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/0.70 % (1778884)CaDiCaL version: 2.1.3
% 1.59/0.70 % (1778884)Termination reason: Refutation
% 1.59/0.70 % (1778884)Time elapsed: 0.195 s
% 1.59/0.70 % (1778884)Peak memory usage: 15 MB
% 1.59/0.70 % (1778884)Instructions burned: 232 (million)
% 1.59/0.70 % (1778875)Success in time 0.278 s
% 1.59/0.70 % Vampire exiting
%------------------------------------------------------------------------------