%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP137^2 : 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 : n016.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 08:08:30 AM UTC 2026
% Result : Theorem 2.14s 0.67s
% Output : Refutation 2.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP137^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n016.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 20:04:05 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running higher-order theorem proving
% 0.11/0.28 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
% 0.60/0.47 % (837472)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.60/0.47 % (837482)lrs+10_16_si=on:nwc=1.5:random_seed=1347996094:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.60/0.47 % (837483)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4269991665:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.60/0.47 % (837481)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3269910934:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.60/0.47 % (837483)Instruction limit reached!
% 0.60/0.47 % (837483)------------------------------
% 0.60/0.47 % (837483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.47 % (837483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.47 % (837483)CaDiCaL version: 2.1.3
% 0.60/0.47 % (837483)Termination reason: Instruction limit
% 0.60/0.47 % (837483)Termination phase: shuffling
% 0.60/0.47 % (837483)Time elapsed: 0.004 s
% 0.60/0.47 % (837483)Peak memory usage: 10 MB
% 0.60/0.47 % (837483)Instructions burned: 6 (million)
% 0.60/0.47 % (837482)Instruction limit reached!
% 0.60/0.47 % (837482)------------------------------
% 0.60/0.47 % (837482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.47 % (837482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.47 % (837482)CaDiCaL version: 2.1.3
% 0.60/0.47 % (837482)Termination reason: Instruction limit
% 0.60/0.47 % (837482)Termination phase: shuffling
% 0.60/0.47 % (837482)Time elapsed: 0.010 s
% 0.60/0.47 % (837482)Peak memory usage: 10 MB
% 0.60/0.47 % (837482)Instructions burned: 19 (million)
% 0.60/0.47 % (837484)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=4234756455: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)
% 0.60/0.47 % (837492)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=575684392:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.60/0.47 % (837492)Instruction limit reached!
% 0.60/0.47 % (837492)------------------------------
% 0.60/0.47 % (837492)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.47 % (837492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.47 % (837492)CaDiCaL version: 2.1.3
% 0.60/0.47 % (837492)Termination reason: Instruction limit
% 0.60/0.47 % (837492)Termination phase: shuffling
% 0.60/0.47 % (837492)Time elapsed: 0.002 s
% 0.60/0.47 % (837492)Peak memory usage: 10 MB
% 0.60/0.47 % (837492)Instructions burned: 2 (million)
% 0.60/0.47 % (837487)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.60/0.47 % (837487)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
% 0.60/0.47 % (837486)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=576642807:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.60/0.47 % (837487)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=1096018352:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.60/0.47 % (837485)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=457673912:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.60/0.47 % (837502)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.60/0.47 % (837493)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3221005063:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.60/0.47 % (837481)Instruction limit reached!
% 0.60/0.47 % (837481)------------------------------
% 0.60/0.47 % (837481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.47 % (837481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.47 % (837481)CaDiCaL version: 2.1.3
% 0.60/0.47 % (837481)Termination reason: Instruction limit
% 0.60/0.47 % (837481)Termination phase: Function definition elimination
% 0.60/0.51 % (837481)Time elapsed: 0.058 s
% 0.60/0.51 % (837481)Peak memory usage: 12 MB
% 0.60/0.51 % (837481)Instructions burned: 88 (million)
% 0.60/0.51 % (837502)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2331426953:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.60/0.51 % (837493)Instruction limit reached!
% 0.60/0.51 % (837493)------------------------------
% 0.60/0.51 % (837493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.51 % (837493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.51 % (837493)CaDiCaL version: 2.1.3
% 0.60/0.51 % (837493)Termination reason: Instruction limit
% 0.60/0.51 % (837493)Termination phase: shuffling
% 0.60/0.51 % (837493)Time elapsed: 0.003 s
% 0.60/0.51 % (837493)Peak memory usage: 10 MB
% 0.60/0.51 % (837493)Instructions burned: 7 (million)
% 0.60/0.51 % (837502)Instruction limit reached!
% 0.60/0.51 % (837502)------------------------------
% 0.60/0.51 % (837502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.51 % (837502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.51 % (837502)CaDiCaL version: 2.1.3
% 0.60/0.51 % (837502)Termination reason: Instruction limit
% 0.60/0.51 % (837502)Termination phase: shuffling
% 0.60/0.51 % (837502)Time elapsed: 0.008 s
% 0.60/0.51 % (837502)Peak memory usage: 10 MB
% 0.60/0.51 % (837502)Instructions burned: 8 (million)
% 0.60/0.51 % (837510)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
% 0.60/0.51 % (837510)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.60/0.51 % (837510)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=376979707:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 0.60/0.51 % (837485)Instruction limit reached!
% 0.60/0.51 % (837485)------------------------------
% 0.60/0.51 % (837485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.51 % (837485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.51 % (837485)CaDiCaL version: 2.1.3
% 0.60/0.51 % (837485)Termination reason: Instruction limit
% 0.60/0.51 % (837485)Termination phase: Property scanning
% 0.60/0.51 % (837485)Time elapsed: 0.026 s
% 0.60/0.51 % (837485)Peak memory usage: 11 MB
% 0.60/0.51 % (837485)Instructions burned: 24 (million)
% 0.60/0.51 % (837508)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3273315049:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/12Mi)
% 0.60/0.51 % (837510)Instruction limit reached!
% 0.60/0.51 % (837510)------------------------------
% 0.60/0.51 % (837510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.51 % (837510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.51 % (837510)CaDiCaL version: 2.1.3
% 0.60/0.51 % (837510)Termination reason: Instruction limit
% 0.60/0.51 % (837510)Termination phase: shuffling
% 0.60/0.51 % (837510)Time elapsed: 0.008 s
% 0.60/0.51 % (837510)Peak memory usage: 10 MB
% 0.60/0.51 % (837510)Instructions burned: 32 (million)
% 0.60/0.51 % (837508)Instruction limit reached!
% 0.60/0.51 % (837508)------------------------------
% 0.60/0.51 % (837508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.60/0.51 % (837508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.60/0.51 % (837508)CaDiCaL version: 2.1.3
% 0.60/0.51 % (837508)Termination reason: Instruction limit
% 0.60/0.51 % (837508)Termination phase: shuffling
% 0.60/0.51 % (837508)Time elapsed: 0.008 s
% 0.60/0.51 % (837508)Peak memory usage: 10 MB
% 0.60/0.51 % (837508)Instructions burned: 13 (million)
% 0.60/0.51 % (837516)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.60/0.51 % (837516)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=3886430612:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.60/0.51 % (837511)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=237980492:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.25/0.54 % (837516)Instruction limit reached!
% 1.25/0.54 % (837516)------------------------------
% 1.25/0.54 % (837516)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.54 % (837516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.54 % (837516)CaDiCaL version: 2.1.3
% 1.25/0.54 % (837516)Termination reason: Instruction limit
% 1.25/0.54 % (837516)Termination phase: shuffling
% 1.25/0.54 % (837516)Time elapsed: 0.001 s
% 1.25/0.54 % (837516)Peak memory usage: 10 MB
% 1.25/0.54 % (837516)Instructions burned: 3 (million)
% 1.25/0.54 % (837513)lrs+10_1_si=on:cs=on:random_seed=2629175157:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.25/0.54 % (837513)Instruction limit reached!
% 1.25/0.54 % (837513)------------------------------
% 1.25/0.54 % (837513)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.54 % (837513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.54 % (837513)CaDiCaL version: 2.1.3
% 1.25/0.54 % (837513)Termination reason: Instruction limit
% 1.25/0.54 % (837513)Termination phase: shuffling
% 1.25/0.54 % (837513)Time elapsed: 0.005 s
% 1.25/0.54 % (837513)Peak memory usage: 10 MB
% 1.25/0.54 % (837513)Instructions burned: 9 (million)
% 1.25/0.54 % (837522)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3800307991:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.25/0.54 % (837486)Instruction limit reached!
% 1.25/0.54 % (837486)------------------------------
% 1.25/0.54 % (837486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.54 % (837486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.54 % (837486)CaDiCaL version: 2.1.3
% 1.25/0.54 % (837486)Termination reason: Instruction limit
% 1.25/0.54 % (837486)Termination phase: Property scanning
% 1.25/0.54 % (837486)Time elapsed: 0.058 s
% 1.25/0.54 % (837486)Peak memory usage: 12 MB
% 1.25/0.54 % (837486)Instructions burned: 76 (million)
% 1.25/0.54 % (837519)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2230941832:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.25/0.54 % (837524)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=944561631:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.25/0.54 % (837526)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3178598757:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.25/0.54 % (837519)Instruction limit reached!
% 1.25/0.54 % (837519)------------------------------
% 1.25/0.54 % (837519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.54 % (837519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.54 % (837519)CaDiCaL version: 2.1.3
% 1.25/0.54 % (837519)Termination reason: Instruction limit
% 1.25/0.54 % (837519)Termination phase: Preprocessing 1
% 1.25/0.54 % (837519)Time elapsed: 0.019 s
% 1.25/0.54 % (837519)Peak memory usage: 11 MB
% 1.25/0.54 % (837519)Instructions burned: 38 (million)
% 1.25/0.54 % (837511)Instruction limit reached!
% 1.25/0.54 % (837511)------------------------------
% 1.25/0.54 % (837511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.54 % (837511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.54 % (837511)CaDiCaL version: 2.1.3
% 1.25/0.54 % (837511)Termination reason: Instruction limit
% 1.25/0.54 % (837511)Termination phase: Preprocessing 1
% 1.25/0.54 % (837511)Time elapsed: 0.040 s
% 1.25/0.54 % (837511)Peak memory usage: 11 MB
% 1.25/0.54 % (837511)Instructions burned: 88 (million)
% 1.25/0.54 % (837526)Instruction limit reached!
% 1.25/0.54 % (837526)------------------------------
% 1.25/0.54 % (837526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.25/0.54 % (837526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.25/0.54 % (837526)CaDiCaL version: 2.1.3
% 1.25/0.54 % (837526)Termination reason: Instruction limit
% 1.25/0.54 % (837526)Termination phase: shuffling
% 1.25/0.54 % (837526)Time elapsed: 0.007 s
% 1.25/0.54 % (837526)Peak memory usage: 10 MB
% 1.25/0.54 % (837526)Instructions burned: 14 (million)
% 1.25/0.54 % (837487)Instruction limit reached!
% 1.25/0.54 % (837487)------------------------------
% 1.86/0.59 % (837487)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.59 % (837487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.59 % (837487)CaDiCaL version: 2.1.3
% 1.86/0.59 % (837487)Termination reason: Instruction limit
% 1.86/0.59 % (837487)Termination phase: Saturation
% 1.86/0.59 % (837487)Time elapsed: 0.085 s
% 1.86/0.59 % (837487)Peak memory usage: 14 MB
% 1.86/0.59 % (837487)Instructions burned: 157 (million)
% 1.86/0.59 % (837524)Instruction limit reached!
% 1.86/0.59 % (837524)------------------------------
% 1.86/0.59 % (837524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.59 % (837524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.59 % (837524)CaDiCaL version: 2.1.3
% 1.86/0.59 % (837524)Termination reason: Instruction limit
% 1.86/0.59 % (837524)Termination phase: Property scanning
% 1.86/0.59 % (837524)Time elapsed: 0.016 s
% 1.86/0.59 % (837524)Peak memory usage: 10 MB
% 1.86/0.59 % (837524)Instructions burned: 29 (million)
% 1.86/0.59 % (837530)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=4167923409:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.86/0.59 % (837531)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3793981785:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.86/0.59 % (837532)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=505143153: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)
% 1.86/0.59 % (837533)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4163066519:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.86/0.59 % (837532)Instruction limit reached!
% 1.86/0.59 % (837532)------------------------------
% 1.86/0.59 % (837532)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.59 % (837532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.59 % (837532)CaDiCaL version: 2.1.3
% 1.86/0.59 % (837532)Termination reason: Instruction limit
% 1.86/0.59 % (837532)Termination phase: shuffling
% 1.86/0.59 % (837532)Time elapsed: 0.002 s
% 1.86/0.59 % (837532)Peak memory usage: 10 MB
% 1.86/0.59 % (837532)Instructions burned: 2 (million)
% 1.86/0.59 % (837534)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=2470681976:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.86/0.59 % (837531)Instruction limit reached!
% 1.86/0.59 % (837531)------------------------------
% 1.86/0.59 % (837531)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.59 % (837531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.59 % (837531)CaDiCaL version: 2.1.3
% 1.86/0.59 % (837531)Termination reason: Instruction limit
% 1.86/0.59 % (837531)Termination phase: shuffling
% 1.86/0.59 % (837531)Time elapsed: 0.008 s
% 1.86/0.59 % (837531)Peak memory usage: 10 MB
% 1.86/0.59 % (837531)Instructions burned: 15 (million)
% 1.86/0.59 % (837533)Instruction limit reached!
% 1.86/0.59 % (837533)------------------------------
% 1.86/0.59 % (837533)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.59 % (837533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.59 % (837533)CaDiCaL version: 2.1.3
% 1.86/0.59 % (837533)Termination reason: Instruction limit
% 1.86/0.59 % (837533)Termination phase: shuffling
% 1.86/0.59 % (837533)Time elapsed: 0.014 s
% 1.86/0.59 % (837533)Peak memory usage: 10 MB
% 1.86/0.59 % (837533)Instructions burned: 27 (million)
% 1.86/0.59 % (837522)Instruction limit reached!
% 1.86/0.59 % (837522)------------------------------
% 1.86/0.59 % (837522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.59 % (837522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.86/0.59 % (837522)CaDiCaL version: 2.1.3
% 1.86/0.59 % (837522)Termination reason: Instruction limit
% 1.86/0.59 % (837522)Termination phase: Saturation
% 1.86/0.59 % (837522)Time elapsed: 0.067 s
% 1.86/0.59 % (837534)Instruction limit reached!
% 1.86/0.59 % (837534)------------------------------
% 1.86/0.59 % (837534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.86/0.59 % (837522)Peak memory usage: 14 MB
% 1.86/0.59 % (837522)Instructions burned: 251 (million)
% 1.86/0.59 % (837534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837534)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837534)Termination reason: Instruction limit
% 2.14/0.67 % (837534)Termination phase: Property scanning
% 2.14/0.67 % (837534)Time elapsed: 0.012 s
% 2.14/0.67 % (837534)Peak memory usage: 10 MB
% 2.14/0.67 % (837534)Instructions burned: 23 (million)
% 2.14/0.67 % (837539)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4120324379:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 2.14/0.67 % (837541)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 2.14/0.67 % (837541)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.14/0.67 % (837541)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=2020254595:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 2.14/0.67 % (837544)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=773590254:i=7:hud=5:bd=preordered:rtra=on:bet=on_2997 on theBenchmark for (2997ds/7Mi)
% 2.14/0.67 % (837542)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.14/0.67 % (837544)Instruction limit reached!
% 2.14/0.67 % (837544)------------------------------
% 2.14/0.67 % (837544)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837544)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837544)Termination reason: Instruction limit
% 2.14/0.67 % (837544)Termination phase: shuffling
% 2.14/0.67 % (837544)Time elapsed: 0.003 s
% 2.14/0.67 % (837544)Peak memory usage: 10 MB
% 2.14/0.67 % (837544)Instructions burned: 13 (million)
% 2.14/0.67 % (837542)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=3547620056:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 2.14/0.67 % (837541)Instruction limit reached!
% 2.14/0.67 % (837541)------------------------------
% 2.14/0.67 % (837541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837541)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837541)Termination reason: Instruction limit
% 2.14/0.67 % (837541)Termination phase: shuffling
% 2.14/0.67 % (837541)Time elapsed: 0.007 s
% 2.14/0.67 % (837541)Peak memory usage: 10 MB
% 2.14/0.67 % (837541)Instructions burned: 15 (million)
% 2.14/0.67 % (837543)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=2811452978:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2997 on theBenchmark for (2997ds/31Mi)
% 2.14/0.67 % (837542)Instruction limit reached!
% 2.14/0.67 % (837542)------------------------------
% 2.14/0.67 % (837542)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837542)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837542)Termination reason: Instruction limit
% 2.14/0.67 % (837542)Termination phase: shuffling
% 2.14/0.67 % (837542)Time elapsed: 0.004 s
% 2.14/0.67 % (837542)Peak memory usage: 10 MB
% 2.14/0.67 % (837542)Instructions burned: 8 (million)
% 2.14/0.67 % (837548)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=566463685:i=23:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 2.14/0.67 % (837548)Instruction limit reached!
% 2.14/0.67 % (837548)------------------------------
% 2.14/0.67 % (837548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837548)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837548)Termination reason: Instruction limit
% 2.14/0.67 % (837548)Termination phase: shuffling
% 2.14/0.67 % (837548)Time elapsed: 0.006 s
% 2.14/0.67 % (837548)Peak memory usage: 11 MB
% 2.14/0.67 % (837548)Instructions burned: 24 (million)
% 2.14/0.67 % (837543)Instruction limit reached!
% 2.14/0.67 % (837543)------------------------------
% 2.14/0.67 % (837543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837543)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837543)Termination reason: Instruction limit
% 2.14/0.67 % (837543)Termination phase: shuffling
% 2.14/0.67 % (837543)Time elapsed: 0.015 s
% 2.14/0.67 % (837543)Peak memory usage: 10 MB
% 2.14/0.67 % (837543)Instructions burned: 32 (million)
% 2.14/0.67 % (837550)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=897518303:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.14/0.67 % (837539)Instruction limit reached!
% 2.14/0.67 % (837539)------------------------------
% 2.14/0.67 % (837539)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837539)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837539)Termination reason: Instruction limit
% 2.14/0.67 % (837539)Termination phase: Property scanning
% 2.14/0.67 % (837539)Time elapsed: 0.031 s
% 2.14/0.67 % (837539)Peak memory usage: 12 MB
% 2.14/0.67 % (837539)Instructions burned: 60 (million)
% 2.14/0.67 % (837554)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2443617897:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.14/0.67 % (837552)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=4133934777:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.14/0.67 % (837550)Instruction limit reached!
% 2.14/0.67 % (837550)------------------------------
% 2.14/0.67 % (837550)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837550)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837550)Termination reason: Instruction limit
% 2.14/0.67 % (837550)Termination phase: shuffling
% 2.14/0.67 % (837550)Time elapsed: 0.011 s
% 2.14/0.67 % (837550)Peak memory usage: 10 MB
% 2.14/0.67 % (837550)Instructions burned: 21 (million)
% 2.14/0.67 % (837555)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1891331559:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.14/0.67 % (837557)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=16593701:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.14/0.67 % (837560)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.14/0.67 % (837560)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=744855808:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.14/0.67 % (837560)Instruction limit reached!
% 2.14/0.67 % (837560)------------------------------
% 2.14/0.67 % (837560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837560)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837560)Termination reason: Instruction limit
% 2.14/0.67 % (837560)Termination phase: shuffling
% 2.14/0.67 % (837560)Time elapsed: 0.004 s
% 2.14/0.67 % (837560)Peak memory usage: 10 MB
% 2.14/0.67 % (837560)Instructions burned: 7 (million)
% 2.14/0.67 % (837557)Instruction limit reached!
% 2.14/0.67 % (837557)------------------------------
% 2.14/0.67 % (837557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837557)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837557)Termination reason: Instruction limit
% 2.14/0.67 % (837557)Termination phase: Preprocessing 3
% 2.14/0.67 % (837557)Time elapsed: 0.021 s
% 2.14/0.67 % (837557)Peak memory usage: 11 MB
% 2.14/0.67 % (837557)Instructions burned: 43 (million)
% 2.14/0.67 % (837554)Instruction limit reached!
% 2.14/0.67 % (837554)------------------------------
% 2.14/0.67 % (837554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837554)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837554)Termination reason: Instruction limit
% 2.14/0.67 % (837554)Termination phase: Saturation
% 2.14/0.67 % (837554)Time elapsed: 0.037 s
% 2.14/0.67 % (837554)Peak memory usage: 14 MB
% 2.14/0.67 % (837554)Instructions burned: 144 (million)
% 2.14/0.67 % (837576)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.14/0.67 % (837576)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3814746531:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2996 on theBenchmark for (2996ds/6Mi)
% 2.14/0.67 % (837571)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1279647330:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.14/0.67 % (837576)Instruction limit reached!
% 2.14/0.67 % (837576)------------------------------
% 2.14/0.67 % (837576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837576)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837576)Termination reason: Instruction limit
% 2.14/0.67 % (837576)Termination phase: shuffling
% 2.14/0.67 % (837576)Time elapsed: 0.002 s
% 2.14/0.67 % (837576)Peak memory usage: 10 MB
% 2.14/0.67 % (837576)Instructions burned: 7 (million)
% 2.14/0.67 % (837574)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=175638298: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)
% 2.14/0.67 % (837584)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=534836261:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2996 on theBenchmark for (2996ds/22Mi)
% 2.14/0.67 % (837584)Instruction limit reached!
% 2.14/0.67 % (837584)------------------------------
% 2.14/0.67 % (837584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837584)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837584)Termination reason: Instruction limit
% 2.14/0.67 % (837584)Termination phase: Property scanning
% 2.14/0.67 % (837584)Time elapsed: 0.006 s
% 2.14/0.67 % (837584)Peak memory usage: 10 MB
% 2.14/0.67 % (837584)Instructions burned: 23 (million)
% 2.14/0.67 % (837593)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=3446352319:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.14/0.67 % (837593)Instruction limit reached!
% 2.14/0.67 % (837593)------------------------------
% 2.14/0.67 % (837593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837593)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837593)Termination reason: Instruction limit
% 2.14/0.67 % (837593)Termination phase: shuffling
% 2.14/0.67 % (837593)Time elapsed: 0.005 s
% 2.14/0.67 % (837593)Peak memory usage: 10 MB
% 2.14/0.67 % (837593)Instructions burned: 20 (million)
% 2.14/0.67 % (837601)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=2477047274:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.14/0.67 % (837530)Instruction limit reached!
% 2.14/0.67 % (837530)------------------------------
% 2.14/0.67 % (837530)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837530)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837530)Termination reason: Instruction limit
% 2.14/0.67 % (837530)Termination phase: Saturation
% 2.14/0.67 % (837530)Time elapsed: 0.163 s
% 2.14/0.67 % (837530)Peak memory usage: 15 MB
% 2.14/0.67 % (837530)Instructions burned: 327 (million)
% 2.14/0.67 % (837555)Instruction limit reached!
% 2.14/0.67 % (837555)------------------------------
% 2.14/0.67 % (837555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837555)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837555)Termination reason: Instruction limit
% 2.14/0.67 % (837555)Termination phase: Saturation
% 2.14/0.67 % (837555)Time elapsed: 0.103 s
% 2.14/0.67 % (837555)Peak memory usage: 14 MB
% 2.14/0.67 % (837571) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-837472-837571"...
% 2.14/0.67 % (837555)Instructions burned: 193 (million)
% 2.14/0.67 % (837571)...printing done.
% 2.14/0.67 % (837612)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=2471699707:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 2.14/0.67 % (837571)Refutation found. Thanks to Tanya!
% 2.14/0.67 % SZS status Theorem for theBenchmark
% 2.14/0.67 % SZS output start Proof for theBenchmark
% 2.14/0.67 thf(type_def_5, type, paraco415392788lle_tv: $tType).
% 2.14/0.67 thf(type_def_6, type, paraco414474393lle_fm: $tType).
% 2.14/0.67 thf(type_def_7, type, product_unit: $tType).
% 2.14/0.67 thf(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 2.14/0.67 thf(type_def_9, type, char: $tType).
% 2.14/0.67 thf(type_def_10, type, list: $tType > $tType).
% 2.14/0.67 thf(type_def_11, type, set: $tType > $tType).
% 2.14/0.67 thf(type_def_12, type, nat: $tType).
% 2.14/0.67 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 2.14/0.67 thf(func_def_0, type, fun_reduction_pair: !>[X0: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > $o))).
% 2.14/0.67 thf(func_def_1, type, fun_rp_inv_image: !>[X0: $tType, X1: $tType]:((product_prod @ set @ product_prod @ X0 @ X0 @ set @ product_prod @ X0 @ X0 > (X1 > X0) > product_prod @ set @ product_prod @ X1 @ X1 @ set @ product_prod @ X1 @ X1))).
% 2.14/0.67 thf(func_def_2, type, the: !>[X0: $tType]:(((X0 > $o) > X0))).
% 2.14/0.67 thf(func_def_3, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 2.14/0.67 thf(func_def_4, type, order_above: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 2.14/0.67 thf(func_def_5, type, order_aboveS: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > X0 > set @ X0))).
% 2.14/0.67 thf(func_def_6, type, order_relation_of: !>[X0: $tType]:(((X0 > X0 > $o) > set @ X0 > set @ product_prod @ X0 @ X0))).
% 2.14/0.67 thf(func_def_7, type, bot_bot: !>[X0: $tType]:(X0)).
% 2.14/0.67 thf(func_def_8, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.14/0.67 thf(func_def_9, type, top_top: !>[X0: $tType]:(X0)).
% 2.14/0.67 thf(func_def_10, type, paraco876059933e_eval: ((list @ char > paraco415392788lle_tv) > paraco414474393lle_fm > paraco415392788lle_tv)).
% 2.14/0.67 thf(func_def_11, type, paraco2100061555le_Con: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 2.14/0.67 thf(func_def_12, type, paraco2084319816le_Eql: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 2.14/0.67 thf(func_def_13, type, paraco1628874225le_Eql: (paraco414474393lle_fm > paraco414474393lle_fm > paraco414474393lle_fm)).
% 2.14/0.67 thf(func_def_14, type, paraco329115265le_Neg: (paraco414474393lle_fm > paraco414474393lle_fm)).
% 2.14/0.67 thf(func_def_15, type, paraco27778325le_Pro: (list @ char > paraco414474393lle_fm)).
% 2.14/0.67 thf(func_def_16, type, paraco251304083_Truth: paraco414474393lle_fm).
% 2.14/0.67 thf(func_def_17, type, paraco1246693743ase_fm: !>[X0: $tType]:(((list @ char > X0) > X0 > (paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > (paraco414474393lle_fm > paraco414474393lle_fm > X0) > paraco414474393lle_fm > X0))).
% 2.14/0.67 thf(func_def_18, type, paraco2040174112le_Det: ($o > paraco415392788lle_tv)).
% 2.14/0.67 thf(func_def_19, type, paraco676387099_Indet: (nat > paraco415392788lle_tv)).
% 2.14/0.67 thf(func_def_20, type, paraco490622181ase_tv: !>[X0: $tType]:((($o > X0) > (nat > X0) > paraco415392788lle_tv > X0))).
% 2.14/0.67 thf(func_def_21, type, paraco152590079rec_tv: !>[X0: $tType]:((($o > X0) > (nat > X0) > paraco415392788lle_tv > X0))).
% 2.14/0.67 thf(func_def_22, type, paraco769098683_valid: (paraco414474393lle_fm > $o)).
% 2.14/0.67 thf(func_def_23, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 2.14/0.67 thf(func_def_24, type, product_Sigma: !>[X0: $tType, X1: $tType]:((set @ X0 > (X0 > set @ X1) > set @ product_prod @ X0 @ X1))).
% 2.14/0.67 thf(func_def_25, type, product_case_bool: !>[X0: $tType]:((X0 > X0 > $o > X0))).
% 2.14/0.67 thf(func_def_26, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 2.14/0.67 thf(func_def_27, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.14/0.67 thf(func_def_28, type, product_map_prod: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > product_prod @ X0 @ X2 > product_prod @ X1 @ X3))).
% 2.14/0.67 thf(func_def_29, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.14/0.67 thf(func_def_30, type, product_rec_set_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2 > $o))).
% 2.14/0.67 thf(func_def_31, type, product_rec_set_unit: !>[X0: $tType]:((X0 > product_unit > X0 > $o))).
% 2.14/0.67 thf(func_def_32, type, product_rec_unit: !>[X0: $tType]:((X0 > product_unit > X0))).
% 2.14/0.67 thf(func_def_33, type, product_case_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 2.14/0.67 thf(func_def_34, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.14/0.67 thf(func_def_35, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.14/0.67 thf(func_def_36, type, product_swap: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > product_prod @ X1 @ X0))).
% 2.14/0.67 thf(func_def_37, type, product_product: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X0 @ X1))).
% 2.14/0.67 thf(func_def_38, type, product_scomp: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > product_prod @ X1 @ X2) > (X1 > X2 > X3) > X0 > X3))).
% 2.14/0.67 thf(func_def_39, type, inv_image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X1 > X0) > set @ product_prod @ X1 @ X1))).
% 2.14/0.67 thf(func_def_40, type, inv_imagep: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X0) > X1 > X1 > $o))).
% 2.14/0.67 thf(func_def_41, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 2.14/0.67 thf(func_def_42, type, image: !>[X0: $tType, X1: $tType]:(((X0 > X1) > set @ X0 > set @ X1))).
% 2.14/0.67 thf(func_def_43, type, the_elem: !>[X0: $tType]:((set @ X0 > X0))).
% 2.14/0.67 thf(func_def_44, type, lex_prod: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > set @ product_prod @ X1 @ X1 > set @ product_prod @ product_prod @ X0 @ X1 @ product_prod @ X0 @ X1))).
% 2.14/0.67 thf(func_def_45, 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))).
% 2.14/0.67 thf(func_def_46, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 2.14/0.67 thf(func_def_47, type, p: paraco414474393lle_fm).
% 2.14/0.67 thf(func_def_49, type, vNOT: ($o > $o)).
% 2.14/0.67 thf(func_def_50, type, vAND: ($o > $o > $o)).
% 2.14/0.67 thf(func_def_51, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 2.14/0.67 thf(func_def_54, type, db1: !>[X0: $tType]:(X0)).
% 2.14/0.67 thf(func_def_55, type, db0: !>[X0: $tType]:(X0)).
% 2.14/0.67 thf(func_def_56, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 2.14/0.67 thf(func_def_57, type, db3: !>[X0: $tType]:(X0)).
% 2.14/0.67 thf(func_def_58, type, db2: !>[X0: $tType]:(X0)).
% 2.14/0.67 thf(func_def_59, type, db4: !>[X0: $tType]:(X0)).
% 2.14/0.67 thf(func_def_60, type, vIMP: ($o > $o > $o)).
% 2.14/0.67 thf(func_def_61, type, vOR: ($o > $o > $o)).
% 2.14/0.67 thf(func_def_62, type, db5: !>[X0: $tType]:(X0)).
% 2.14/0.67 thf(func_def_63, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.14/0.67 thf(func_def_64, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 2.14/0.67 thf(func_def_65, type, sK0: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X2))).
% 2.14/0.67 thf(func_def_66, type, sK1: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X0))).
% 2.14/0.67 thf(func_def_67, type, sK2: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X3))).
% 2.14/0.67 thf(func_def_68, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X2 @ X3 > X1))).
% 2.14/0.67 thf(func_def_69, type, sK4: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.14/0.67 thf(func_def_70, type, sK5: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.14/0.67 thf(func_def_71, type, sK6: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 2.14/0.67 thf(func_def_72, type, sK7: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 2.14/0.67 thf(func_def_73, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 2.14/0.67 thf(func_def_74, type, sK9: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X2 > $o) > X1))).
% 2.14/0.67 thf(func_def_75, type, sK10: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X2 > $o) > X3))).
% 2.14/0.67 thf(func_def_76, type, sK11: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X2 > $o) > X4))).
% 2.14/0.67 thf(func_def_77, type, sK12: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X2 > $o) > X0))).
% 2.14/0.67 thf(func_def_78, type, sK13: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ X2 > $o) > X2))).
% 2.14/0.67 thf(func_def_79, type, sK14: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X1))).
% 2.14/0.67 thf(func_def_80, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X2))).
% 2.14/0.67 thf(func_def_81, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X1 @ product_prod @ X2 @ X0 > X0))).
% 2.14/0.67 thf(func_def_82, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X4))).
% 2.14/0.67 thf(func_def_83, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X2))).
% 2.14/0.67 thf(func_def_84, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X3))).
% 2.14/0.67 thf(func_def_85, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X1))).
% 2.14/0.67 thf(func_def_86, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X2 @ X0 > X0))).
% 2.14/0.67 thf(func_def_87, type, sK22: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X1))).
% 2.14/0.67 thf(func_def_88, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X2))).
% 2.14/0.67 thf(func_def_89, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X4))).
% 2.14/0.67 thf(func_def_90, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X0))).
% 2.14/0.67 thf(func_def_91, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X3))).
% 2.14/0.67 thf(func_def_92, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X3 > X5))).
% 2.14/0.67 thf(func_def_93, type, sK28: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 2.14/0.67 thf(func_def_94, type, sK29: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 2.14/0.67 thf(func_def_95, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X2))).
% 2.14/0.67 thf(func_def_96, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X3))).
% 2.14/0.67 thf(func_def_97, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X0))).
% 2.14/0.67 thf(func_def_98, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X3 @ X1 > $o) > X1))).
% 2.14/0.67 thf(func_def_99, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X1))).
% 2.14/0.67 thf(func_def_100, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X4))).
% 2.14/0.67 thf(func_def_101, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X2))).
% 2.14/0.67 thf(func_def_102, type, sK37: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X0))).
% 2.14/0.67 thf(func_def_103, type, sK38: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X3))).
% 2.14/0.67 thf(func_def_104, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X6))).
% 2.14/0.67 thf(func_def_105, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X3 @ product_prod @ X1 @ X4 > X5))).
% 2.14/0.67 thf(func_def_106, type, sK41: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 2.14/0.67 thf(func_def_107, type, sK42: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 2.14/0.67 thf(func_def_108, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ X0 > $o) > X1))).
% 2.14/0.67 thf(func_def_109, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ X0 > $o) > X2))).
% 2.14/0.67 thf(func_def_110, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ X0 > $o) > X5))).
% 2.14/0.67 thf(func_def_111, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ X0 > $o) > X4))).
% 2.14/0.67 thf(func_def_112, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ X0 > $o) > X0))).
% 2.14/0.67 thf(func_def_113, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ X0 > $o) > X3))).
% 2.14/0.67 thf(func_def_114, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X1 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ product_prod @ X2 @ X0 > $o) > X6))).
% 2.14/0.67 thf(func_def_115, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X1))).
% 2.14/0.67 thf(func_def_116, type, sK51: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X0))).
% 2.14/0.67 thf(func_def_117, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X2))).
% 2.14/0.67 thf(func_def_118, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X1))).
% 2.14/0.67 thf(func_def_119, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X5))).
% 2.14/0.67 thf(func_def_120, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X3))).
% 2.14/0.67 thf(func_def_121, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X2))).
% 2.14/0.67 thf(func_def_122, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X4))).
% 2.14/0.67 thf(func_def_123, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X0))).
% 2.14/0.67 thf(f1,axiom,(
% 2.14/0.67 ! [X5 : $o,X6 : $o] : ((X5 = X6) = (((paraco2040174112le_Det @ X5)) = ((paraco2040174112le_Det @ X6))))),
% 2.14/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_tv_Oinject_I1_J)).
% 2.14/0.67 thf(f2,axiom,(
% 2.14/0.67 (paraco769098683_valid @ (paraco329115265le_Neg @ p))),
% 2.14/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms)).
% 2.14/0.67 thf(f3,axiom,(
% 2.14/0.67 ((^[X0 : paraco414474393lle_fm] : (! [X1 : (list @ char > paraco415392788lle_tv)] : (((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X1 @ X0))))) = paraco769098683_valid)),
% 2.14/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_valid__def)).
% 2.14/0.67 thf(f9,axiom,(
% 2.14/0.67 ! [X0 : (list @ char > paraco415392788lle_tv),X1 : paraco414474393lle_fm] : (((((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $false))) => (((((paraco876059933e_eval @ X0 @ X1)) = ((paraco2040174112le_Det @ $true))) => (((paraco2040174112le_Det @ $false)) = ((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))))) & ((((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $true))) => (((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))) = ((paraco876059933e_eval @ X0 @ X1)))))) & ((((paraco2040174112le_Det @ $false)) = ((paraco876059933e_eval @ X0 @ X1))) => (((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))))))),
% 2.14/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_eval__negation)).
% 2.14/0.67 thf(f260,conjecture,(
% 2.14/0.67 ? [X0 : (list @ char > paraco415392788lle_tv)] : (((paraco2040174112le_Det @ $true)) != ((paraco876059933e_eval @ X0 @ p)))),
% 2.14/0.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 2.14/0.67 thf(f261,negated_conjecture,(
% 2.14/0.67 ~ ? [X0 : (list @ char > paraco415392788lle_tv)] : (((paraco2040174112le_Det @ $true)) != ((paraco876059933e_eval @ X0 @ p)))),
% 2.14/0.67 inference(negated_conjecture,[status(cth)],[f260])).
% 2.14/0.67 thf(f361,plain,(
% 2.14/0.67 (paraco769098683_valid @ (paraco329115265le_Neg @ p))),
% 2.14/0.67 inference(rectify,[],[f2])).
% 2.14/0.67 thf(f362,plain,(
% 2.14/0.67 (((paraco769098683_valid @ (paraco329115265le_Neg @ p))) = $true)),
% 2.14/0.67 inference(fool_elimination,[],[f361])).
% 2.14/0.67 thf(f425,plain,(
% 2.14/0.67 ! [X0 : $o,X1 : $o] : ((X0 = X1) = (((paraco2040174112le_Det @ X0)) = ((paraco2040174112le_Det @ X1))))),
% 2.14/0.67 inference(rectify,[],[f1])).
% 2.14/0.67 thf(f426,plain,(
% 2.14/0.67 ! [X0 : $o,X1 : $o] : (((X0 = X1)) = (((paraco2040174112le_Det @ X0) = (paraco2040174112le_Det @ X1))))),
% 2.14/0.67 inference(fool_elimination,[],[f425])).
% 2.14/0.67 thf(f449,plain,(
% 2.14/0.67 ! [X0 : (list @ char > paraco415392788lle_tv),X1 : paraco414474393lle_fm] : (((((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $false))) => (((((paraco876059933e_eval @ X0 @ X1)) = ((paraco2040174112le_Det @ $true))) => (((paraco2040174112le_Det @ $false)) = ((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))))) & ((((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $true))) => (((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))) = ((paraco876059933e_eval @ X0 @ X1)))))) & ((((paraco2040174112le_Det @ $false)) = ((paraco876059933e_eval @ X0 @ X1))) => (((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))))))),
% 2.14/0.67 inference(rectify,[],[f9])).
% 2.14/0.67 thf(f450,plain,(
% 2.14/0.67 ! [X1 : paraco414474393lle_fm,X0 : (list @ char > paraco415392788lle_tv)] : (((((paraco876059933e_eval @ X0 @ X1)) = ((paraco2040174112le_Det @ $false))) => (((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))) = ((paraco2040174112le_Det @ $true)))) & ((((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $false))) => (((((paraco876059933e_eval @ X0 @ X1)) = ((paraco2040174112le_Det @ $true))) => (((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))) = ((paraco2040174112le_Det @ $false)))) & ((((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $true))) => (((paraco876059933e_eval @ X0 @ X1)) = ((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))))))))),
% 2.14/0.67 inference(fool_elimination,[],[f449])).
% 2.14/0.67 thf(f451,plain,(
% 2.14/0.67 ((^[X0 : paraco414474393lle_fm] : (! [X1 : (list @ char > paraco415392788lle_tv)] : (((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X1 @ X0))))) = paraco769098683_valid)),
% 2.14/0.67 inference(rectify,[],[f3])).
% 2.14/0.67 thf(f452,plain,(
% 2.14/0.67 (paraco769098683_valid = (^[Y0 : paraco414474393lle_fm]: (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y1 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y1 @ Y0))))))),
% 2.14/0.67 inference(fool_elimination,[],[f451])).
% 2.14/0.67 thf(f485,plain,(
% 2.14/0.67 ~ ? [X0 : (list @ char > paraco415392788lle_tv)] : (((paraco2040174112le_Det @ $true)) != ((paraco876059933e_eval @ X0 @ p)))),
% 2.14/0.67 inference(rectify,[],[f261])).
% 2.14/0.67 thf(f486,plain,(
% 2.14/0.67 ~ ? [X0 : (list @ char > paraco415392788lle_tv)] : (((paraco876059933e_eval @ X0 @ p)) != ((paraco2040174112le_Det @ $true)))),
% 2.14/0.67 inference(fool_elimination,[],[f485])).
% 2.14/0.67 thf(f625,plain,(
% 2.14/0.67 ! [X0 : (list @ char > paraco415392788lle_tv),X1 : paraco414474393lle_fm] : (((((((paraco876059933e_eval @ X0 @ X1)) = ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ X0 @ X1)) = ((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))))) & ((((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))) = ((paraco2040174112le_Det @ $false))))) | (((paraco876059933e_eval @ X0 @ X1)) = ((paraco2040174112le_Det @ $false)))) & ((((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $false))) | (((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))) = ((paraco2040174112le_Det @ $true)))))),
% 2.14/0.67 inference(ennf_transformation,[],[f450])).
% 2.14/0.67 thf(f630,plain,(
% 2.14/0.67 ! [X0 : (list @ char > paraco415392788lle_tv)] : (((paraco876059933e_eval @ X0 @ p)) = ((paraco2040174112le_Det @ $true)))),
% 2.14/0.67 inference(ennf_transformation,[],[f486])).
% 2.14/0.67 thf(f674,plain,(
% 2.14/0.67 (paraco769098683_valid = (^[Y0 : paraco414474393lle_fm]: (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y1 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y1 @ Y0))))))),
% 2.14/0.67 inference(cnf_transformation,[],[f452])).
% 2.14/0.67 thf(f683,plain,(
% 2.14/0.67 ( ! [X0 : $o,X1 : $o] : ((((X0 = X1)) = (((paraco2040174112le_Det @ X0) = (paraco2040174112le_Det @ X1))))) )),
% 2.14/0.67 inference(cnf_transformation,[],[f426])).
% 2.14/0.67 thf(f693,plain,(
% 2.14/0.67 (((paraco769098683_valid @ (paraco329115265le_Neg @ p))) = $true)),
% 2.14/0.67 inference(cnf_transformation,[],[f362])).
% 2.14/0.67 thf(f698,plain,(
% 2.14/0.67 ( ! [X0 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X0 @ p)) = ((paraco2040174112le_Det @ $true)))) )),
% 2.14/0.67 inference(cnf_transformation,[],[f630])).
% 2.14/0.67 thf(f708,plain,(
% 2.14/0.67 ( ! [X0 : (list @ char > paraco415392788lle_tv),X1 : paraco414474393lle_fm] : ((((paraco876059933e_eval @ X0 @ X1)) != ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ X1))) = ((paraco2040174112le_Det @ $false))) | (((paraco876059933e_eval @ X0 @ X1)) = ((paraco2040174112le_Det @ $false)))) )),
% 2.14/0.67 inference(cnf_transformation,[],[f625])).
% 2.14/0.67 thf(f719,definition,(
% 2.14/0.67 ($true != $false)),
% 2.14/0.67 introduced(theory,[fool_distinctness_axiom])).
% 2.14/0.67 thf(f721,plain,(
% 2.14/0.67 ($true = (((^[Y0 : paraco414474393lle_fm]: (!! @ (list @ char > paraco415392788lle_tv) @ (^[Y1 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y1 @ Y0))))) @ (paraco329115265le_Neg @ p))))),
% 2.14/0.67 inference(definition_unfolding,[],[f693,f674])).
% 2.14/0.67 thf(f722,plain,(
% 2.14/0.67 ($true = ((!! @ (list @ char > paraco415392788lle_tv) @ (^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ (paraco329115265le_Neg @ p)))))))),
% 2.14/0.67 inference(beta-eta_normalization,[],[f721])).
% 2.14/0.67 thf(f723,plain,(
% 2.14/0.67 ( ! [X1 : (list @ char > paraco415392788lle_tv)] : (($true = (((^[Y0 : list @ char > paraco415392788lle_tv]: ((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ Y0 @ (paraco329115265le_Neg @ p)))) @ X1)))) )),
% 2.14/0.67 inference(pi_proxy_clausification,[],[f722])).
% 2.14/0.67 thf(f724,plain,(
% 2.14/0.67 ( ! [X1 : (list @ char > paraco415392788lle_tv)] : (($true = (((paraco2040174112le_Det @ $true) = (paraco876059933e_eval @ X1 @ (paraco329115265le_Neg @ p)))))) )),
% 2.14/0.67 inference(beta-eta_normalization,[],[f723])).
% 2.14/0.67 thf(f725,plain,(
% 2.14/0.67 ( ! [X1 : (list @ char > paraco415392788lle_tv)] : ((((paraco2040174112le_Det @ $true)) = ((paraco876059933e_eval @ X1 @ (paraco329115265le_Neg @ p))))) )),
% 2.14/0.67 inference(equality_proxy_clausification,[],[f724])).
% 2.14/0.67 thf(f744,plain,(
% 2.14/0.67 ( ! [X0 : $o,X1 : $o] : (($false = (((paraco2040174112le_Det @ X0) = (paraco2040174112le_Det @ X1)))) | (((X0 = X1)) = $true)) )),
% 2.14/0.67 inference(iff_proxy_clausification,[],[f683])).
% 2.14/0.67 thf(f751,plain,(
% 2.14/0.67 ( ! [X0 : $o,X1 : $o] : ((((paraco2040174112le_Det @ X0)) != ((paraco2040174112le_Det @ X1))) | (((X0 = X1)) = $true)) )),
% 2.14/0.67 inference(equality_proxy_clausification,[],[f744])).
% 2.14/0.67 thf(f752,plain,(
% 2.14/0.67 ( ! [X0 : $o,X1 : $o] : ((X0 = X1) | (((paraco2040174112le_Det @ X0)) != ((paraco2040174112le_Det @ X1)))) )),
% 2.14/0.67 inference(equality_proxy_clausification,[],[f751])).
% 2.14/0.67 thf(f754,plain,(
% 2.14/0.67 ( ! [X0 : $o,X1 : $o] : ((((paraco2040174112le_Det @ X0)) != ((paraco2040174112le_Det @ X1))) | ($false = X0) | ($true = X1)) )),
% 2.14/0.67 inference(iff_proxy_clausification,[],[f752])).
% 2.14/0.67 thf(f828,plain,(
% 2.14/0.67 (((paraco2040174112le_Det @ $true)) != ((paraco2040174112le_Det @ $false)))),
% 2.14/0.67 inference(unit_resulting_resolution,[],[f754,f719,f719])).
% 2.14/0.67 thf(f1083,plain,(
% 2.14/0.67 ( ! [X0 : (list @ char > paraco415392788lle_tv)] : ((((paraco2040174112le_Det @ $true)) = ((paraco2040174112le_Det @ $false))) | (((paraco2040174112le_Det @ $true)) != ((paraco2040174112le_Det @ $true))) | (((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ p))) = ((paraco2040174112le_Det @ $false)))) )),
% 2.14/0.67 inference(constrained_superposition,[],[f708,f698])).
% 2.14/0.67 thf(f1085,plain,(
% 2.14/0.67 ( ! [X0 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ p))) = ((paraco2040174112le_Det @ $false))) | (((paraco2040174112le_Det @ $true)) = ((paraco2040174112le_Det @ $false)))) )),
% 2.14/0.67 inference(trivial_inequality_removal,[],[f1083])).
% 2.14/0.67 thf(f1087,plain,(
% 2.14/0.67 ( ! [X0 : (list @ char > paraco415392788lle_tv)] : ((((paraco876059933e_eval @ X0 @ (paraco329115265le_Neg @ p))) = ((paraco2040174112le_Det @ $false)))) )),
% 2.14/0.67 inference(forward_subsumption_resolution,[],[f1085,f828])).
% 2.14/0.67 thf(f1089,plain,(
% 2.14/0.67 (((paraco2040174112le_Det @ $true)) = ((paraco2040174112le_Det @ $false)))),
% 2.14/0.67 inference(backward_demodulation,[],[f725,f1087])).
% 2.14/0.67 thf(f1090,plain,(
% 2.14/0.67 $false),
% 2.14/0.67 inference(forward_subsumption_resolution,[],[f1089,f828])).
% 2.14/0.67 % SZS output end Proof for theBenchmark
% 2.14/0.67 % (837571)------------------------------
% 2.14/0.67 % (837571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.14/0.67 % (837571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.14/0.67 % (837571)CaDiCaL version: 2.1.3
% 2.14/0.67 % (837571)Termination reason: Refutation
% 2.14/0.67 % (837571)Time elapsed: 0.067 s
% 2.14/0.67 % (837571)Peak memory usage: 14 MB
% 2.14/0.67 % (837571)Instructions burned: 121 (million)
% 2.14/0.67 % (837472)Success in time 0.385 s
% 2.14/0.67 % Vampire exiting
%------------------------------------------------------------------------------