%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP150^1 : 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 : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:34 AM UTC 2026
% Result : Theorem 3.91s 0.92s
% Output : Refutation 3.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP150^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n014.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 20:01:57 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.25 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
% 0.63/0.38 % (3141292)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.63/0.38 % (3141302)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=829739036:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.63/0.38 % (3141303)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.63/0.38 % (3141303)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.63/0.38 % (3141297)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4103251601:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.63/0.38 % (3141298)lrs+10_16_si=on:nwc=1.5:random_seed=403349780:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.63/0.38 % (3141299)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=3220190202:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.63/0.38 % (3141301)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2314718727:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.63/0.38 % (3141300)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=1577714598:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.63/0.38 % (3141303)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=297095268:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.63/0.38 % (3141299)Instruction limit reached!
% 0.63/0.38 % (3141299)------------------------------
% 0.63/0.38 % (3141299)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (3141299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (3141299)CaDiCaL version: 2.1.3
% 0.63/0.38 % (3141299)Termination reason: Instruction limit
% 0.63/0.38 % (3141299)Termination phase: shuffling
% 0.63/0.38 % (3141299)Time elapsed: 0.002 s
% 0.63/0.38 % (3141299)Peak memory usage: 10 MB
% 0.63/0.38 % (3141299)Instructions burned: 3 (million)
% 0.63/0.38 % (3141298)Instruction limit reached!
% 0.63/0.38 % (3141298)------------------------------
% 0.63/0.38 % (3141298)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (3141298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (3141298)CaDiCaL version: 2.1.3
% 0.63/0.38 % (3141298)Termination reason: Instruction limit
% 0.63/0.38 % (3141298)Termination phase: Property scanning
% 0.63/0.38 % (3141298)Time elapsed: 0.008 s
% 0.63/0.38 % (3141298)Peak memory usage: 10 MB
% 0.63/0.38 % (3141298)Instructions burned: 19 (million)
% 0.63/0.38 % (3141302)Instruction limit reached!
% 0.63/0.38 % (3141302)------------------------------
% 0.63/0.38 % (3141302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (3141302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (3141302)CaDiCaL version: 2.1.3
% 0.63/0.38 % (3141302)Termination reason: Instruction limit
% 0.63/0.38 % (3141302)Termination phase: Property scanning
% 0.63/0.38 % (3141302)Time elapsed: 0.018 s
% 0.63/0.38 % (3141302)Peak memory usage: 12 MB
% 0.63/0.38 % (3141302)Instructions burned: 77 (million)
% 0.63/0.38 % (3141301)Instruction limit reached!
% 0.63/0.38 % (3141301)------------------------------
% 0.63/0.38 % (3141301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.38 % (3141301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.38 % (3141301)CaDiCaL version: 2.1.3
% 0.63/0.38 % (3141301)Termination reason: Instruction limit
% 0.63/0.38 % (3141301)Termination phase: Preprocessing 3
% 0.63/0.38 % (3141301)Time elapsed: 0.012 s
% 0.63/0.38 % (3141301)Peak memory usage: 10 MB
% 0.63/0.38 % (3141301)Instructions burned: 26 (million)
% 0.63/0.38 % (3141313)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.38 % (3141311)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2625013615:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.42 % (3141313)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2544004301:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.63/0.42 % (3141313)Instruction limit reached!
% 0.63/0.42 % (3141313)------------------------------
% 0.63/0.42 % (3141313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3141313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3141313)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3141313)Termination reason: Instruction limit
% 0.63/0.42 % (3141313)Termination phase: shuffling
% 0.63/0.42 % (3141313)Time elapsed: 0.002 s
% 0.63/0.42 % (3141313)Peak memory usage: 10 MB
% 0.63/0.42 % (3141313)Instructions burned: 8 (million)
% 0.63/0.42 % (3141311)Instruction limit reached!
% 0.63/0.42 % (3141311)------------------------------
% 0.63/0.42 % (3141311)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3141311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3141311)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3141311)Termination reason: Instruction limit
% 0.63/0.42 % (3141311)Termination phase: shuffling
% 0.63/0.42 % (3141311)Time elapsed: 0.002 s
% 0.63/0.42 % (3141311)Peak memory usage: 10 MB
% 0.63/0.42 % (3141311)Instructions burned: 3 (million)
% 0.63/0.42 % (3141312)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3363217272:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.63/0.42 % (3141314)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=453943674:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.63/0.42 % (3141312)Instruction limit reached!
% 0.63/0.42 % (3141312)------------------------------
% 0.63/0.42 % (3141312)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3141312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3141312)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3141312)Termination reason: Instruction limit
% 0.63/0.42 % (3141312)Termination phase: shuffling
% 0.63/0.42 % (3141312)Time elapsed: 0.003 s
% 0.63/0.42 % (3141312)Peak memory usage: 10 MB
% 0.63/0.42 % (3141312)Instructions burned: 5 (million)
% 0.63/0.42 % (3141317)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.63/0.42 % (3141317)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.63/0.42 % (3141317)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1077374993:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.63/0.42 % (3141314)Instruction limit reached!
% 0.63/0.42 % (3141314)------------------------------
% 0.63/0.42 % (3141314)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3141314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3141314)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3141314)Termination reason: Instruction limit
% 0.63/0.42 % (3141314)Termination phase: Property scanning
% 0.63/0.42 % (3141314)Time elapsed: 0.006 s
% 0.63/0.42 % (3141314)Peak memory usage: 10 MB
% 0.63/0.42 % (3141314)Instructions burned: 12 (million)
% 0.63/0.42 % (3141297)Instruction limit reached!
% 0.63/0.42 % (3141297)------------------------------
% 0.63/0.42 % (3141297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3141297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3141297)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3141297)Termination reason: Instruction limit
% 0.63/0.42 % (3141297)Termination phase: Saturation
% 0.63/0.42 % (3141297)Time elapsed: 0.039 s
% 0.63/0.42 % (3141297)Peak memory usage: 13 MB
% 0.63/0.42 % (3141297)Instructions burned: 87 (million)
% 0.63/0.42 % (3141317)Instruction limit reached!
% 0.63/0.42 % (3141317)------------------------------
% 0.63/0.42 % (3141317)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.42 % (3141317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.42 % (3141317)CaDiCaL version: 2.1.3
% 0.63/0.42 % (3141317)Termination reason: Instruction limit
% 0.63/0.44 % (3141317)Termination phase: shuffling
% 0.63/0.44 % (3141317)Time elapsed: 0.006 s
% 0.63/0.44 % (3141317)Peak memory usage: 11 MB
% 0.63/0.44 % (3141317)Instructions burned: 28 (million)
% 0.63/0.44 % (3141318)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=480118420:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.63/0.44 % (3141321)lrs+10_1_si=on:cs=on:random_seed=3115793352:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.63/0.44 % (3141325)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2232035658:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.63/0.44 % (3141323)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.63/0.44 % (3141321)Instruction limit reached!
% 0.63/0.44 % (3141321)------------------------------
% 0.63/0.44 % (3141321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (3141321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (3141321)CaDiCaL version: 2.1.3
% 0.63/0.44 % (3141321)Termination reason: Instruction limit
% 0.63/0.44 % (3141321)Termination phase: shuffling
% 0.63/0.44 % (3141321)Time elapsed: 0.004 s
% 0.63/0.44 % (3141321)Peak memory usage: 10 MB
% 0.63/0.44 % (3141321)Instructions burned: 8 (million)
% 0.63/0.44 % (3141323)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=3373612248:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.63/0.44 % (3141324)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1890854226:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.63/0.44 % (3141323)Instruction limit reached!
% 0.63/0.44 % (3141323)------------------------------
% 0.63/0.44 % (3141323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (3141323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (3141323)CaDiCaL version: 2.1.3
% 0.63/0.44 % (3141323)Termination reason: Instruction limit
% 0.63/0.44 % (3141323)Termination phase: shuffling
% 0.63/0.44 % (3141323)Time elapsed: 0.002 s
% 0.63/0.44 % (3141323)Peak memory usage: 10 MB
% 0.63/0.44 % (3141323)Instructions burned: 4 (million)
% 0.63/0.44 % (3141325)Refutation not found, incomplete strategy
% 0.63/0.44 % (3141325)------------------------------
% 0.63/0.44 % (3141325)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (3141325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (3141325)CaDiCaL version: 2.1.3
% 0.63/0.44 % (3141325)Termination reason: Refutation not found, incomplete strategy
% 0.63/0.44 % (3141325)Time elapsed: 0.008 s
% 0.63/0.44 % (3141325)Peak memory usage: 13 MB
% 0.63/0.44 % (3141325)Instructions burned: 33 (million)
% 0.63/0.44 % (3141325)------------------------------
% 0.63/0.44 % (3141325)------------------------------
% 0.63/0.44 % (3141333)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1993021878:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.63/0.44 % (3141329)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2372275916:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.63/0.44 % (3141303)Instruction limit reached!
% 0.63/0.44 % (3141303)------------------------------
% 0.63/0.44 % (3141303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.44 % (3141303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.44 % (3141303)CaDiCaL version: 2.1.3
% 0.63/0.44 % (3141303)Termination reason: Instruction limit
% 0.63/0.44 % (3141303)Termination phase: Saturation
% 0.63/0.44 % (3141303)Time elapsed: 0.075 s
% 0.63/0.44 % (3141303)Peak memory usage: 13 MB
% 0.63/0.44 % (3141303)Instructions burned: 157 (million)
% 0.63/0.44 % (3141332)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=623102252:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.63/0.44 % (3141324)Instruction limit reached!
% 0.63/0.44 % (3141324)------------------------------
% 0.63/0.44 % (3141324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.48 % (3141324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.48 % (3141324)CaDiCaL version: 2.1.3
% 1.38/0.48 % (3141324)Termination reason: Instruction limit
% 1.38/0.48 % (3141324)Termination phase: Saturation
% 1.38/0.48 % (3141324)Time elapsed: 0.019 s
% 1.38/0.48 % (3141324)Peak memory usage: 13 MB
% 1.38/0.48 % (3141324)Instructions burned: 38 (million)
% 1.38/0.48 % (3141318)Instruction limit reached!
% 1.38/0.48 % (3141318)------------------------------
% 1.38/0.48 % (3141318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.48 % (3141318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.48 % (3141318)CaDiCaL version: 2.1.3
% 1.38/0.48 % (3141318)Termination reason: Instruction limit
% 1.38/0.48 % (3141318)Termination phase: Property scanning
% 1.38/0.48 % (3141318)Time elapsed: 0.037 s
% 1.38/0.48 % (3141318)Peak memory usage: 11 MB
% 1.38/0.48 % (3141318)Instructions burned: 88 (million)
% 1.38/0.48 % (3141332)Instruction limit reached!
% 1.38/0.48 % (3141332)------------------------------
% 1.38/0.48 % (3141332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.48 % (3141332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.48 % (3141332)CaDiCaL version: 2.1.3
% 1.38/0.48 % (3141332)Termination reason: Instruction limit
% 1.38/0.48 % (3141332)Termination phase: Property scanning
% 1.38/0.48 % (3141332)Time elapsed: 0.007 s
% 1.38/0.48 % (3141332)Peak memory usage: 10 MB
% 1.38/0.48 % (3141332)Instructions burned: 16 (million)
% 1.38/0.48 % (3141329)Instruction limit reached!
% 1.38/0.48 % (3141329)------------------------------
% 1.38/0.48 % (3141329)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.48 % (3141329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.48 % (3141329)CaDiCaL version: 2.1.3
% 1.38/0.48 % (3141329)Termination reason: Instruction limit
% 1.38/0.48 % (3141329)Termination phase: Preprocessing 1
% 1.38/0.48 % (3141329)Time elapsed: 0.012 s
% 1.38/0.48 % (3141329)Peak memory usage: 10 MB
% 1.38/0.48 % (3141329)Instructions burned: 26 (million)
% 1.38/0.48 % (3141336)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1317509615:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.38/0.48 % (3141338)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3786199355: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)
% 1.38/0.48 % (3141338)Instruction limit reached!
% 1.38/0.48 % (3141338)------------------------------
% 1.38/0.48 % (3141338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.48 % (3141338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.48 % (3141338)CaDiCaL version: 2.1.3
% 1.38/0.48 % (3141338)Termination reason: Instruction limit
% 1.38/0.48 % (3141338)Termination phase: shuffling
% 1.38/0.48 % (3141338)Time elapsed: 0.002 s
% 1.38/0.48 % (3141338)Peak memory usage: 10 MB
% 1.38/0.48 % (3141338)Instructions burned: 3 (million)
% 1.38/0.48 % (3141339)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3430615424:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.38/0.48 % (3141336)Instruction limit reached!
% 1.38/0.48 % (3141336)------------------------------
% 1.38/0.48 % (3141336)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.48 % (3141336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.48 % (3141336)CaDiCaL version: 2.1.3
% 1.38/0.48 % (3141336)Termination reason: Instruction limit
% 1.38/0.48 % (3141336)Termination phase: Property scanning
% 1.38/0.48 % (3141336)Time elapsed: 0.007 s
% 1.38/0.48 % (3141336)Peak memory usage: 10 MB
% 1.38/0.48 % (3141336)Instructions burned: 16 (million)
% 1.38/0.48 % (3141340)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3243817886:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.38/0.48 % (3141341)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1369278816:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.38/0.48 % (3141339)Instruction limit reached!
% 1.38/0.48 % (3141339)------------------------------
% 1.38/0.48 % (3141339)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.48 % (3141339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.53 % (3141339)CaDiCaL version: 2.1.3
% 1.38/0.53 % (3141339)Termination reason: Instruction limit
% 1.38/0.53 % (3141339)Termination phase: shuffling
% 1.38/0.53 % (3141339)Time elapsed: 0.011 s
% 1.38/0.53 % (3141339)Peak memory usage: 10 MB
% 1.38/0.53 % (3141339)Instructions burned: 26 (million)
% 1.38/0.53 % (3141344)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
% 1.38/0.53 % (3141344)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.38/0.53 % (3141340)Instruction limit reached!
% 1.38/0.53 % (3141340)------------------------------
% 1.38/0.53 % (3141340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.53 % (3141340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.53 % (3141340)CaDiCaL version: 2.1.3
% 1.38/0.53 % (3141340)Termination reason: Instruction limit
% 1.38/0.53 % (3141340)Termination phase: Preprocessing 1
% 1.38/0.53 % (3141340)Time elapsed: 0.010 s
% 1.38/0.53 % (3141340)Peak memory usage: 10 MB
% 1.38/0.53 % (3141340)Instructions burned: 24 (million)
% 1.38/0.53 % (3141344)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=3571219907:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.38/0.53 % (3141346)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.38/0.53 % (3141346)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=478557232:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.38/0.53 % (3141344)Instruction limit reached!
% 1.38/0.53 % (3141344)------------------------------
% 1.38/0.53 % (3141344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.53 % (3141344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.53 % (3141344)CaDiCaL version: 2.1.3
% 1.38/0.53 % (3141344)Termination reason: Instruction limit
% 1.38/0.53 % (3141344)Termination phase: shuffling
% 1.38/0.53 % (3141344)Time elapsed: 0.006 s
% 1.38/0.53 % (3141344)Peak memory usage: 10 MB
% 1.38/0.53 % (3141344)Instructions burned: 14 (million)
% 1.38/0.53 % (3141346)Instruction limit reached!
% 1.38/0.53 % (3141346)------------------------------
% 1.38/0.53 % (3141346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.53 % (3141346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.53 % (3141346)CaDiCaL version: 2.1.3
% 1.38/0.53 % (3141346)Termination reason: Instruction limit
% 1.38/0.53 % (3141346)Termination phase: shuffling
% 1.38/0.53 % (3141346)Time elapsed: 0.004 s
% 1.38/0.53 % (3141346)Peak memory usage: 10 MB
% 1.38/0.53 % (3141346)Instructions burned: 8 (million)
% 1.38/0.53 % (3141341)Instruction limit reached!
% 1.38/0.53 % (3141341)------------------------------
% 1.38/0.53 % (3141341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.53 % (3141341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.53 % (3141341)CaDiCaL version: 2.1.3
% 1.38/0.53 % (3141341)Termination reason: Instruction limit
% 1.38/0.53 % (3141341)Termination phase: Property scanning
% 1.38/0.53 % (3141341)Time elapsed: 0.026 s
% 1.38/0.53 % (3141341)Peak memory usage: 12 MB
% 1.38/0.53 % (3141341)Instructions burned: 60 (million)
% 1.38/0.53 % (3141349)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=2170988175:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.38/0.53 % (3141350)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3241861770:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.38/0.53 % (3141350)Instruction limit reached!
% 1.38/0.53 % (3141350)------------------------------
% 1.38/0.53 % (3141350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.38/0.53 % (3141350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.38/0.53 % (3141350)CaDiCaL version: 2.1.3
% 1.38/0.53 % (3141350)Termination reason: Instruction limit
% 2.08/0.60 % (3141350)Termination phase: shuffling
% 2.08/0.60 % (3141350)Time elapsed: 0.004 s
% 2.08/0.60 % (3141350)Peak memory usage: 10 MB
% 2.08/0.60 % (3141350)Instructions burned: 9 (million)
% 2.08/0.60 % (3141353)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1598876090:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.08/0.60 % (3141354)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=626744637:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.08/0.60 % (3141349)Instruction limit reached!
% 2.08/0.60 % (3141349)------------------------------
% 2.08/0.60 % (3141349)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60 % (3141349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60 % (3141349)CaDiCaL version: 2.1.3
% 2.08/0.60 % (3141349)Termination reason: Instruction limit
% 2.08/0.60 % (3141349)Termination phase: shuffling
% 2.08/0.60 % (3141349)Time elapsed: 0.014 s
% 2.08/0.60 % (3141349)Peak memory usage: 10 MB
% 2.08/0.60 % (3141349)Instructions burned: 32 (million)
% 2.08/0.60 % (3141356)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=3116944456:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.08/0.60 % (3141353)Instruction limit reached!
% 2.08/0.60 % (3141353)------------------------------
% 2.08/0.60 % (3141353)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60 % (3141353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60 % (3141353)CaDiCaL version: 2.1.3
% 2.08/0.60 % (3141353)Termination reason: Instruction limit
% 2.08/0.60 % (3141353)Termination phase: shuffling
% 2.08/0.60 % (3141353)Time elapsed: 0.011 s
% 2.08/0.60 % (3141353)Peak memory usage: 10 MB
% 2.08/0.60 % (3141353)Instructions burned: 24 (million)
% 2.08/0.60 % (3141354)Instruction limit reached!
% 2.08/0.60 % (3141354)------------------------------
% 2.08/0.60 % (3141354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60 % (3141354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60 % (3141354)CaDiCaL version: 2.1.3
% 2.08/0.60 % (3141354)Termination reason: Instruction limit
% 2.08/0.60 % (3141354)Termination phase: Property scanning
% 2.08/0.60 % (3141354)Time elapsed: 0.010 s
% 2.08/0.60 % (3141354)Peak memory usage: 10 MB
% 2.08/0.60 % (3141354)Instructions burned: 21 (million)
% 2.08/0.60 % (3141333)Instruction limit reached!
% 2.08/0.60 % (3141333)------------------------------
% 2.08/0.60 % (3141333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60 % (3141333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60 % (3141333)CaDiCaL version: 2.1.3
% 2.08/0.60 % (3141333)Termination reason: Instruction limit
% 2.08/0.60 % (3141333)Termination phase: Saturation
% 2.08/0.60 % (3141333)Time elapsed: 0.087 s
% 2.08/0.60 % (3141333)Peak memory usage: 14 MB
% 2.08/0.60 % (3141333)Instructions burned: 330 (million)
% 2.08/0.60 % (3141358)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2000238118:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.08/0.60 % (3141361)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1033739150:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/193Mi)
% 2.08/0.60 % (3141366)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=3728920090:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.08/0.60 % (3141364)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.08/0.60 % (3141363)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2961668552:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.08/0.60 % (3141364)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=238988811:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.08/0.60 % (3141366)Refutation not found, incomplete strategy
% 2.08/0.60 % (3141366)------------------------------
% 2.08/0.60 % (3141366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.08/0.60 % (3141366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.08/0.60 % (3141366)CaDiCaL version: 2.1.3
% 2.54/0.64 % (3141366)Termination reason: Refutation not found, incomplete strategy
% 2.54/0.64 % (3141366)Time elapsed: 0.007 s
% 2.54/0.64 % (3141366)Peak memory usage: 12 MB
% 2.54/0.64 % (3141366)Instructions burned: 27 (million)
% 2.54/0.64 % (3141366)------------------------------
% 2.54/0.64 % (3141366)------------------------------
% 2.54/0.64 % (3141364)Instruction limit reached!
% 2.54/0.64 % (3141364)------------------------------
% 2.54/0.64 % (3141364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.64 % (3141364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.64 % (3141364)CaDiCaL version: 2.1.3
% 2.54/0.64 % (3141364)Termination reason: Instruction limit
% 2.54/0.64 % (3141364)Termination phase: shuffling
% 2.54/0.64 % (3141364)Time elapsed: 0.004 s
% 2.54/0.64 % (3141364)Peak memory usage: 10 MB
% 2.54/0.64 % (3141364)Instructions burned: 9 (million)
% 2.54/0.64 % (3141371)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=2731988314: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)
% 2.54/0.64 % (3141363)Instruction limit reached!
% 2.54/0.64 % (3141363)------------------------------
% 2.54/0.64 % (3141363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.64 % (3141363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.64 % (3141363)CaDiCaL version: 2.1.3
% 2.54/0.64 % (3141363)Termination reason: Instruction limit
% 2.54/0.64 % (3141363)Termination phase: Property scanning
% 2.54/0.64 % (3141363)Time elapsed: 0.019 s
% 2.54/0.64 % (3141363)Peak memory usage: 11 MB
% 2.54/0.64 % (3141363)Instructions burned: 43 (million)
% 2.54/0.64 % (3141372)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.54/0.64 % (3141372)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=699563370:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.54/0.64 % (3141372)Instruction limit reached!
% 2.54/0.64 % (3141372)------------------------------
% 2.54/0.64 % (3141372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.65 % (3141372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.65 % (3141372)CaDiCaL version: 2.1.3
% 2.54/0.65 % (3141372)Termination reason: Instruction limit
% 2.54/0.65 % (3141372)Termination phase: shuffling
% 2.54/0.65 % (3141372)Time elapsed: 0.003 s
% 2.54/0.65 % (3141372)Peak memory usage: 10 MB
% 2.54/0.65 % (3141372)Instructions burned: 6 (million)
% 2.54/0.65 % (3141371)Refutation not found, incomplete strategy
% 2.54/0.65 % (3141371)------------------------------
% 2.54/0.65 % (3141371)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.65 % (3141371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.65 % (3141371)CaDiCaL version: 2.1.3
% 2.54/0.65 % (3141371)Termination reason: Refutation not found, incomplete strategy
% 2.54/0.65 % (3141371)Time elapsed: 0.017 s
% 2.54/0.65 % (3141371)Peak memory usage: 13 MB
% 2.54/0.65 % (3141371)Instructions burned: 68 (million)
% 2.54/0.65 % (3141371)------------------------------
% 2.54/0.65 % (3141371)------------------------------
% 2.54/0.65 % (3141374)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=3538529277:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.54/0.65 % (3141377)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=2469948244:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.54/0.65 % (3141376)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=78206389:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.54/0.65 % (3141374)Instruction limit reached!
% 2.54/0.65 % (3141374)------------------------------
% 2.54/0.65 % (3141374)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.54/0.65 % (3141374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.54/0.65 % (3141374)CaDiCaL version: 2.1.3
% 2.54/0.65 % (3141374)Termination reason: Instruction limit
% 2.54/0.65 % (3141374)Termination phase: Preprocessing 1
% 2.54/0.65 % (3141374)Time elapsed: 0.010 s
% 2.95/0.71 % (3141374)Peak memory usage: 10 MB
% 2.95/0.71 % (3141374)Instructions burned: 22 (million)
% 2.95/0.71 % (3141358)Instruction limit reached!
% 2.95/0.71 % (3141358)------------------------------
% 2.95/0.71 % (3141358)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.95/0.71 % (3141358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/0.71 % (3141358)CaDiCaL version: 2.1.3
% 2.95/0.71 % (3141358)Termination reason: Instruction limit
% 2.95/0.71 % (3141358)Termination phase: Saturation
% 2.95/0.71 % (3141358)Time elapsed: 0.069 s
% 2.95/0.71 % (3141358)Peak memory usage: 14 MB
% 2.95/0.71 % (3141358)Instructions burned: 144 (million)
% 2.95/0.71 % (3141376)Instruction limit reached!
% 2.95/0.71 % (3141376)------------------------------
% 2.95/0.71 % (3141376)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.95/0.71 % (3141376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/0.71 % (3141376)CaDiCaL version: 2.1.3
% 2.95/0.71 % (3141376)Termination reason: Instruction limit
% 2.95/0.71 % (3141376)Termination phase: shuffling
% 2.95/0.71 % (3141376)Time elapsed: 0.009 s
% 2.95/0.71 % (3141376)Peak memory usage: 10 MB
% 2.95/0.71 % (3141376)Instructions burned: 20 (million)
% 2.95/0.71 % (3141381)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=49495414:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.95/0.71 % (3141382)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=1244287198:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.95/0.71 % (3141383)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3452571728:i=480:rtra=on_2997 on theBenchmark for (2997ds/480Mi)
% 2.95/0.71 % (3141361)Instruction limit reached!
% 2.95/0.71 % (3141361)------------------------------
% 2.95/0.71 % (3141361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.95/0.71 % (3141361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/0.71 % (3141361)CaDiCaL version: 2.1.3
% 2.95/0.71 % (3141361)Termination reason: Instruction limit
% 2.95/0.71 % (3141361)Termination phase: Saturation
% 2.95/0.71 % (3141361)Time elapsed: 0.088 s
% 2.95/0.71 % (3141361)Peak memory usage: 14 MB
% 2.95/0.71 % (3141361)Instructions burned: 196 (million)
% 2.95/0.71 % (3141382)Instruction limit reached!
% 2.95/0.71 % (3141382)------------------------------
% 2.95/0.71 % (3141382)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.95/0.71 % (3141382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/0.71 % (3141382)CaDiCaL version: 2.1.3
% 2.95/0.71 % (3141382)Termination reason: Instruction limit
% 2.95/0.71 % (3141382)Termination phase: Preprocessing 3
% 2.95/0.71 % (3141382)Time elapsed: 0.021 s
% 2.95/0.71 % (3141382)Peak memory usage: 11 MB
% 2.95/0.71 % (3141382)Instructions burned: 45 (million)
% 2.95/0.71 % (3141387)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=1710346997:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.95/0.71 % (3141388)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.95/0.71 % (3141387)Instruction limit reached!
% 2.95/0.71 % (3141387)------------------------------
% 2.95/0.71 % (3141387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.95/0.71 % (3141387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/0.71 % (3141387)CaDiCaL version: 2.1.3
% 2.95/0.71 % (3141387)Termination reason: Instruction limit
% 2.95/0.71 % (3141387)Termination phase: Preprocessing 1
% 2.95/0.71 % (3141387)Time elapsed: 0.009 s
% 2.95/0.71 % (3141387)Peak memory usage: 11 MB
% 2.95/0.71 % (3141387)Instructions burned: 22 (million)
% 2.95/0.71 % (3141388)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3082128129:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.95/0.71 % (3141383)Refutation not found, incomplete strategy
% 2.95/0.71 % (3141383)------------------------------
% 2.95/0.71 % (3141383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.87 % (3141383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.87 % (3141383)CaDiCaL version: 2.1.3
% 3.56/0.87 % (3141383)Termination reason: Refutation not found, incomplete strategy
% 3.56/0.87 % (3141383)Time elapsed: 0.046 s
% 3.56/0.87 % (3141383)Peak memory usage: 14 MB
% 3.56/0.87 % (3141383)Instructions burned: 97 (million)
% 3.56/0.87 % (3141383)------------------------------
% 3.56/0.87 % (3141383)------------------------------
% 3.56/0.87 % (3141390)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1898847664:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.56/0.87 % (3141377)Instruction limit reached!
% 3.56/0.87 % (3141377)------------------------------
% 3.56/0.87 % (3141377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.87 % (3141377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.87 % (3141377)CaDiCaL version: 2.1.3
% 3.56/0.87 % (3141377)Termination reason: Instruction limit
% 3.56/0.87 % (3141377)Termination phase: Saturation
% 3.56/0.87 % (3141377)Time elapsed: 0.085 s
% 3.56/0.87 % (3141377)Peak memory usage: 16 MB
% 3.56/0.87 % (3141377)Instructions burned: 316 (million)
% 3.56/0.87 % (3141390)Instruction limit reached!
% 3.56/0.87 % (3141390)------------------------------
% 3.56/0.87 % (3141390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.87 % (3141390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.87 % (3141390)CaDiCaL version: 2.1.3
% 3.56/0.87 % (3141390)Termination reason: Instruction limit
% 3.56/0.87 % (3141390)Termination phase: Property scanning
% 3.56/0.87 % (3141390)Time elapsed: 0.006 s
% 3.56/0.87 % (3141390)Peak memory usage: 10 MB
% 3.56/0.87 % (3141390)Instructions burned: 14 (million)
% 3.56/0.87 % (3141394)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=2481237959:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.56/0.87 % (3141300)Instruction limit reached!
% 3.56/0.87 % (3141300)------------------------------
% 3.56/0.87 % (3141300)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.87 % (3141300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.87 % (3141300)CaDiCaL version: 2.1.3
% 3.56/0.87 % (3141300)Termination reason: Instruction limit
% 3.56/0.87 % (3141300)Termination phase: Saturation
% 3.56/0.87 % (3141300)Time elapsed: 0.315 s
% 3.56/0.87 % (3141300)Peak memory usage: 16 MB
% 3.56/0.87 % (3141300)Instructions burned: 634 (million)
% 3.56/0.87 % (3141392)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1034784844:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.56/0.87 % (3141394)Instruction limit reached!
% 3.56/0.87 % (3141394)------------------------------
% 3.56/0.87 % (3141394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.87 % (3141394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.87 % (3141394)CaDiCaL version: 2.1.3
% 3.56/0.87 % (3141394)Termination reason: Instruction limit
% 3.56/0.87 % (3141394)Termination phase: Function definition elimination
% 3.56/0.87 % (3141394)Time elapsed: 0.012 s
% 3.56/0.87 % (3141394)Peak memory usage: 11 MB
% 3.56/0.87 % (3141394)Instructions burned: 52 (million)
% 3.56/0.87 % (3141395)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2978054836:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.56/0.87 % (3141397)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=1915354984:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2996 on theBenchmark for (2996ds/137Mi)
% 3.56/0.87 % (3141399)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=3337153658:cond=on:i=34:hud=10:nm=10:rtra=on_2996 on theBenchmark for (2996ds/34Mi)
% 3.56/0.87 % (3141395)Instruction limit reached!
% 3.56/0.87 % (3141395)------------------------------
% 3.56/0.87 % (3141395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.56/0.87 % (3141395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.56/0.87 % (3141395)CaDiCaL version: 2.1.3
% 3.56/0.87 % (3141395)Termination reason: Instruction limit
% 3.91/0.92 % (3141395)Termination phase: shuffling
% 3.91/0.92 % (3141395)Time elapsed: 0.014 s
% 3.91/0.92 % (3141395)Peak memory usage: 10 MB
% 3.91/0.92 % (3141395)Instructions burned: 32 (million)
% 3.91/0.92 % (3141399)Instruction limit reached!
% 3.91/0.92 % (3141399)------------------------------
% 3.91/0.92 % (3141399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141399)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141399)Termination reason: Instruction limit
% 3.91/0.92 % (3141399)Termination phase: shuffling
% 3.91/0.92 % (3141399)Time elapsed: 0.008 s
% 3.91/0.92 % (3141399)Peak memory usage: 10 MB
% 3.91/0.92 % (3141399)Instructions burned: 38 (million)
% 3.91/0.92 % (3141392)Instruction limit reached!
% 3.91/0.92 % (3141392)------------------------------
% 3.91/0.92 % (3141392)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141392)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141392)Termination reason: Instruction limit
% 3.91/0.92 % (3141392)Termination phase: Property scanning
% 3.91/0.92 % (3141392)Time elapsed: 0.028 s
% 3.91/0.92 % (3141392)Peak memory usage: 10 MB
% 3.91/0.92 % (3141392)Instructions burned: 67 (million)
% 3.91/0.92 % (3141404)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.91/0.92 % (3141404)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=1525563146:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2996 on theBenchmark for (2996ds/180Mi)
% 3.91/0.92 % (3141403)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=2422568767:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2996 on theBenchmark for (2996ds/67Mi)
% 3.91/0.92 % (3141405)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=29048053:st=2:i=246:sd=3:rtra=on:ss=axioms_2996 on theBenchmark for (2996ds/246Mi)
% 3.91/0.92 % (3141388)Instruction limit reached!
% 3.91/0.92 % (3141388)------------------------------
% 3.91/0.92 % (3141388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141388)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141388)Termination reason: Instruction limit
% 3.91/0.92 % (3141388)Termination phase: Saturation
% 3.91/0.92 % (3141388)Time elapsed: 0.096 s
% 3.91/0.92 % (3141388)Peak memory usage: 13 MB
% 3.91/0.92 % (3141388)Instructions burned: 200 (million)
% 3.91/0.92 % (3141403)Instruction limit reached!
% 3.91/0.92 % (3141403)------------------------------
% 3.91/0.92 % (3141403)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141403)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141403)Termination reason: Instruction limit
% 3.91/0.92 % (3141403)Termination phase: Property scanning
% 3.91/0.92 % (3141403)Time elapsed: 0.029 s
% 3.91/0.92 % (3141403)Peak memory usage: 11 MB
% 3.91/0.92 % (3141403)Instructions burned: 68 (million)
% 3.91/0.92 % (3141404)Instruction limit reached!
% 3.91/0.92 % (3141404)------------------------------
% 3.91/0.92 % (3141404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141404)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141404)Termination reason: Instruction limit
% 3.91/0.92 % (3141404)Termination phase: Saturation
% 3.91/0.92 % (3141404)Time elapsed: 0.039 s
% 3.91/0.92 % (3141404)Peak memory usage: 13 MB
% 3.91/0.92 % (3141404)Instructions burned: 182 (million)
% 3.91/0.92 % (3141409)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=690918911:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.91/0.92 % (3141397)Instruction limit reached!
% 3.91/0.92 % (3141397)------------------------------
% 3.91/0.92 % (3141397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141397)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141397)Termination reason: Instruction limit
% 3.91/0.92 % (3141397)Termination phase: Saturation
% 3.91/0.92 % (3141397)Time elapsed: 0.066 s
% 3.91/0.92 % (3141397)Peak memory usage: 13 MB
% 3.91/0.92 % (3141397)Instructions burned: 139 (million)
% 3.91/0.92 % (3141411)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1887758237:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.91/0.92 % (3141410)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=2121692805:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.91/0.92 % (3141413)dis+1010_4_sas=cadical:si=on:cbe=off:nwc=20:random_seed=1686218401:st=6:s2a=on:i=515:sd=2:nm=2:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/515Mi)
% 3.91/0.92 % (3141410)Refutation not found, incomplete strategy
% 3.91/0.92 % (3141410)------------------------------
% 3.91/0.92 % (3141410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141410)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141410)Termination reason: Refutation not found, incomplete strategy
% 3.91/0.92 % (3141410)Time elapsed: 0.012 s
% 3.91/0.92 % (3141410)Peak memory usage: 12 MB
% 3.91/0.92 % (3141410)Instructions burned: 26 (million)
% 3.91/0.92 % (3141410)------------------------------
% 3.91/0.92 % (3141410)------------------------------
% 3.91/0.92 % (3141417)lrs+1002_1_cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:random_seed=1150776733:st=1.5:i=130:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/130Mi)
% 3.91/0.92 % (3141409)Instruction limit reached!
% 3.91/0.92 % (3141409)------------------------------
% 3.91/0.92 % (3141409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141409)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141409)Termination reason: Instruction limit
% 3.91/0.92 % (3141409)Termination phase: Saturation
% 3.91/0.92 % (3141409)Time elapsed: 0.044 s
% 3.91/0.92 % (3141409)Peak memory usage: 13 MB
% 3.91/0.92 % (3141409)Instructions burned: 97 (million)
% 3.91/0.92 % (3141419)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1575355344:i=44:ep=R:rtra=on:ntd=on_2995 on theBenchmark for (2995ds/44Mi)
% 3.91/0.92 % (3141419)Instruction limit reached!
% 3.91/0.92 % (3141419)------------------------------
% 3.91/0.92 % (3141419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141419)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141419)Termination reason: Instruction limit
% 3.91/0.92 % (3141419)Termination phase: Property scanning
% 3.91/0.92 % (3141419)Time elapsed: 0.019 s
% 3.91/0.92 % (3141419)Peak memory usage: 10 MB
% 3.91/0.92 % (3141419)Instructions burned: 45 (million)
% 3.91/0.92 % (3141405)Instruction limit reached!
% 3.91/0.92 % (3141405)------------------------------
% 3.91/0.92 % (3141405)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141405)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141405)Termination reason: Instruction limit
% 3.91/0.92 % (3141405)Termination phase: Saturation
% 3.91/0.92 % (3141405)Time elapsed: 0.123 s
% 3.91/0.92 % (3141405)Peak memory usage: 14 MB
% 3.91/0.92 % (3141405)Instructions burned: 247 (million)
% 3.91/0.92 % (3141417)Instruction limit reached!
% 3.91/0.92 % (3141417)------------------------------
% 3.91/0.92 % (3141417)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141417)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141417)Termination reason: Instruction limit
% 3.91/0.92 % (3141417)Termination phase: Saturation
% 3.91/0.92 % (3141417)Time elapsed: 0.055 s
% 3.91/0.92 % (3141417)Peak memory usage: 12 MB
% 3.91/0.92 % (3141417)Instructions burned: 131 (million)
% 3.91/0.92 % (3141421)lrs+1010_8:1_sil=128000:fde=unused:e2e=on:si=on:sos=on:urr=on:uwa=one_side_constant:fd=off:random_seed=375267641:s2a=on:i=571:nm=16:rtra=on_2994 on theBenchmark for (2994ds/571Mi)
% 3.91/0.92 % (3141422)dis+1010_8_to=lpo:sil=128000:tgt=ground:si=on:sp=reverse_frequency:cbe=off:uwa=off:random_seed=2737401793:i=450:rtra=on:ixr=off:ntd=on_2994 on theBenchmark for (2994ds/450Mi)
% 3.91/0.92 % (3141423)lrs+10_5:1_to=lpo:sil=128000:si=on:uwa=one_side_interpreted:random_seed=2021807173:cts=off:i=95:piset=pi_sigma:bd=all:rtra=on:ntd=on_2994 on theBenchmark for (2994ds/95Mi)
% 3.91/0.92 % (3141423)Instruction limit reached!
% 3.91/0.92 % (3141423)------------------------------
% 3.91/0.92 % (3141423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141423)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141423)Termination reason: Instruction limit
% 3.91/0.92 % (3141423)Termination phase: Saturation
% 3.91/0.92 % (3141423)Time elapsed: 0.044 s
% 3.91/0.92 % (3141423)Peak memory usage: 13 MB
% 3.91/0.92 % (3141423)Instructions burned: 97 (million)
% 3.91/0.92 % (3141427)lrs+1003_1_sil=128000:drc=off:cnfonf=lazy_pi_sigma_gen:si=on:uwa=one_side_interpreted:fd=off:rp=on:sac=on:random_seed=4081594790:s2a=on:i=65:add=on:bd=preordered:ins=10:rtra=on_2993 on theBenchmark for (2993ds/65Mi)
% 3.91/0.92 % (3141381) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3141292-3141381"...
% 3.91/0.92 % (3141381)...printing done.
% 3.91/0.92 % (3141381)Refutation found. Thanks to Tanya!
% 3.91/0.92 % SZS status Theorem for theBenchmark
% 3.91/0.92 % SZS output start Proof for theBenchmark
% 3.91/0.92 thf(type_def_5, type, polyno1532895200ly_nat: $tType).
% 3.91/0.92 thf(type_def_6, type, polyno727731844poly_a: $tType).
% 3.91/0.92 thf(type_def_7, type, list_nat: $tType).
% 3.91/0.92 thf(type_def_8, type, list_a: $tType).
% 3.91/0.92 thf(type_def_9, type, nat: $tType).
% 3.91/0.92 thf(type_def_10, type, a: $tType).
% 3.91/0.92 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 3.91/0.92 thf(func_def_0, type, one_one_nat: nat).
% 3.91/0.92 thf(func_def_1, type, one_one_a: a).
% 3.91/0.92 thf(func_def_2, type, plus_plus_nat: (nat > nat > nat)).
% 3.91/0.92 thf(func_def_3, type, plus_plus_a: (a > a > a)).
% 3.91/0.92 thf(func_def_4, type, times_times_nat: (nat > nat > nat)).
% 3.91/0.92 thf(func_def_5, type, times_times_a: (a > a > a)).
% 3.91/0.92 thf(func_def_6, type, zero_zero_nat: nat).
% 3.91/0.92 thf(func_def_7, type, zero_zero_a: a).
% 3.91/0.92 thf(func_def_8, type, if_nat: ($o > nat > nat > nat)).
% 3.91/0.92 thf(func_def_9, type, compow808008746ly_nat: (nat > (polyno1532895200ly_nat > polyno1532895200ly_nat) > polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_10, type, compow1114216044poly_a: (nat > (polyno727731844poly_a > polyno727731844poly_a) > polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_11, type, polyno422358502poly_a: (list_a > polyno727731844poly_a > a)).
% 3.91/0.92 thf(func_def_12, type, polyno587244178ad_nat: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_13, type, polyno1465139388head_a: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_14, type, polyno220183259ee_nat: (polyno1532895200ly_nat > nat)).
% 3.91/0.92 thf(func_def_15, type, polyno578545843gree_a: (polyno727731844poly_a > nat)).
% 3.91/0.92 thf(func_def_16, type, polyno1779722485en_nat: (polyno1532895200ly_nat > nat > nat)).
% 3.91/0.92 thf(func_def_17, type, polyno1674775833reen_a: (polyno727731844poly_a > nat > nat)).
% 3.91/0.92 thf(func_def_18, type, polyno1952548879ad_nat: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_19, type, polyno1884029055head_a: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_20, type, polyno524777654st_nat: (polyno1532895200ly_nat > nat)).
% 3.91/0.92 thf(func_def_21, type, polyno2115742616onst_a: (polyno727731844poly_a > a)).
% 3.91/0.92 thf(func_def_22, type, polyno544860353dn_nat: (polyno1532895200ly_nat > nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_23, type, polyno567601229eadn_a: (polyno727731844poly_a > nat > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_24, type, polyno1013235523ly_nat: (polyno1532895200ly_nat > $o)).
% 3.91/0.92 thf(func_def_25, type, polyno190918219poly_a: (polyno727731844poly_a > $o)).
% 3.91/0.92 thf(func_def_26, type, polyno892049031yh_nat: (polyno1532895200ly_nat > nat > $o)).
% 3.91/0.92 thf(func_def_27, type, polyno1372495879olyh_a: (polyno727731844poly_a > nat > $o)).
% 3.91/0.92 thf(func_def_28, type, polyno1222032024dd_nat: (polyno1532895200ly_nat > polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_29, type, polyno1623170614_Add_a: (polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_30, type, polyno1999838549nd_nat: (nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_31, type, polyno2024845497ound_a: (nat > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_32, type, polyno720942678CN_nat: (polyno1532895200ly_nat > nat > polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_33, type, polyno1057396216e_CN_a: (polyno727731844poly_a > nat > polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_34, type, polyno2122022170_C_nat: (nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_35, type, polyno439679028le_C_a: (a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_36, type, polyno1415441627ul_nat: (polyno1532895200ly_nat > polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_37, type, polyno1491482291_Mul_a: (polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_38, type, polyno1366804583eg_nat: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_39, type, polyno96675367_Neg_a: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_40, type, polyno359287218Pw_nat: (polyno1532895200ly_nat > nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_41, type, polyno1538138524e_Pw_a: (polyno727731844poly_a > nat > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_42, type, polyno1921014231ub_nat: (polyno1532895200ly_nat > polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_43, type, polyno975704247_Sub_a: (polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_44, type, polyno1467023772ul_nat: (nat > polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_45, type, polyno562434098cmul_a: (a > polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_46, type, polyno212464073eriv_a: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_47, type, polyno1006823949_aux_a: (a > polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_48, type, polyno929799083ul_nat: (polyno1532895200ly_nat > polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_49, type, polyno1934269411ymul_a: (polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_50, type, polyno955999183nate_a: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_51, type, polyno1510045887ow_nat: (nat > polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_52, type, polyno1371724751ypow_a: (nat > polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_53, type, polyno1418491367ysub_a: (polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_54, type, polyno336795754t0_nat: (polyno1532895200ly_nat > polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_55, type, polyno1397854436bst0_a: (polyno727731844poly_a > polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_56, type, polyno1964927358t1_nat: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_57, type, polyno784948432ift1_a: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_58, type, polyno1438831695bs_nat: (list_nat > polyno1532895200ly_nat > $o)).
% 3.91/0.92 thf(func_def_59, type, polyno896877631f_bs_a: (list_a > polyno727731844poly_a > $o)).
% 3.91/0.92 thf(func_def_60, type, n0: nat).
% 3.91/0.92 thf(func_def_61, type, n1: nat).
% 3.91/0.92 thf(func_def_62, type, p: polyno727731844poly_a).
% 3.91/0.92 thf(func_def_63, type, q: polyno727731844poly_a).
% 3.91/0.92 thf(func_def_67, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 3.91/0.92 thf(func_def_68, type, db0: !>[X0: $tType]:(X0)).
% 3.91/0.92 thf(func_def_69, type, db1: !>[X0: $tType]:(X0)).
% 3.91/0.92 thf(func_def_70, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 3.91/0.92 thf(func_def_71, type, sP0: ((nat > nat) > polyno1532895200ly_nat > $o)).
% 3.91/0.92 thf(func_def_72, type, sP1: ((nat > nat) > polyno1532895200ly_nat > $o)).
% 3.91/0.92 thf(func_def_73, type, sP2: ((nat > nat) > polyno727731844poly_a > $o)).
% 3.91/0.92 thf(func_def_74, type, sP3: (polyno727731844poly_a > (nat > nat) > $o)).
% 3.91/0.92 thf(func_def_75, type, sK4: list_a).
% 3.91/0.92 thf(func_def_76, type, sK5: (polyno1532895200ly_nat > nat)).
% 3.91/0.92 thf(func_def_77, type, sK6: ((nat > nat) > polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_78, type, sK7: ((nat > nat) > polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_79, type, sK8: ((nat > nat) > polyno1532895200ly_nat > nat)).
% 3.91/0.92 thf(func_def_80, type, sK9: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_81, type, sK10: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_82, type, sK11: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_83, type, sK12: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_84, type, sK13: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_85, type, sK14: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_86, type, sK15: (polyno1532895200ly_nat > nat)).
% 3.91/0.92 thf(func_def_87, type, sK16: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_88, type, sK17: (polyno1532895200ly_nat > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_89, type, sK18: (polyno1532895200ly_nat > nat)).
% 3.91/0.92 thf(func_def_90, type, sK19: ((polyno727731844poly_a > polyno727731844poly_a) > nat > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_91, type, sK20: (polyno727731844poly_a > polyno727731844poly_a > list_a)).
% 3.91/0.92 thf(func_def_92, type, sK21: (polyno727731844poly_a > list_a)).
% 3.91/0.92 thf(func_def_93, type, sK22: (polyno727731844poly_a > (nat > nat) > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_94, type, sK23: (polyno727731844poly_a > (nat > nat) > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_95, type, sK24: (polyno727731844poly_a > (nat > nat) > nat)).
% 3.91/0.92 thf(func_def_96, type, sK25: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_97, type, sK26: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_98, type, sK27: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_99, type, sK28: (polyno727731844poly_a > a)).
% 3.91/0.92 thf(func_def_100, type, sK29: (polyno727731844poly_a > nat)).
% 3.91/0.92 thf(func_def_101, type, sK30: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_102, type, sK31: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_103, type, sK32: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_104, type, sK33: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_105, type, sK34: (polyno727731844poly_a > nat)).
% 3.91/0.92 thf(func_def_106, type, sK35: (polyno727731844poly_a > polyno727731844poly_a)).
% 3.91/0.92 thf(func_def_107, type, sK36: ((nat > nat > $o) > nat)).
% 3.91/0.92 thf(func_def_108, type, sK37: ((nat > nat > $o) > nat)).
% 3.91/0.92 thf(func_def_109, type, sK38: ((nat > nat > $o) > nat)).
% 3.91/0.92 thf(func_def_110, type, sK39: ((nat > nat > $o) > nat)).
% 3.91/0.92 thf(func_def_111, type, sK40: ((nat > nat > $o) > nat)).
% 3.91/0.92 thf(func_def_112, type, sK41: (nat > (polyno1532895200ly_nat > polyno1532895200ly_nat) > polyno1532895200ly_nat)).
% 3.91/0.92 thf(func_def_113, type, vNOT: ($o > $o)).
% 3.91/0.92 thf(f1,axiom,(
% 3.91/0.92 (! [X0 : list_a] : (((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ p @ q))) = ((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ q @ p)))) = (((polyno1934269411ymul_a @ p @ q)) = ((polyno1934269411ymul_a @ q @ p))))),
% 3.91/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_I_092_060forall_062bs_O_AIpoly_Abs_A_Ip_A_K_092_060_094sub_062p_Aq_J_A_061_AIpoly_Abs_A_Iq_A_K_092_060_094sub_062p_Ap_J_J_A_061_A_Ip_A_K_092_060_094sub_062p_Aq_A_061_Aq_A_K_092_060_094sub_062p_Ap_J_092_060close_062)).
% 3.91/0.92 thf(f2,axiom,(
% 3.91/0.92 (polyno1372495879olyh_a @ p @ n0)),
% 3.91/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_np)).
% 3.91/0.92 thf(f3,axiom,(
% 3.91/0.92 (polyno1372495879olyh_a @ q @ n1)),
% 3.91/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_nq)).
% 3.91/0.92 thf(f11,axiom,(
% 3.91/0.92 ! [X2 : polyno727731844poly_a,X0 : list_a,X1 : polyno727731844poly_a] : (((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ X1 @ X2))) = ((times_times_a @ (polyno422358502poly_a @ X0 @ X1) @ (polyno422358502poly_a @ X0 @ X2))))),
% 3.91/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_polymul)).
% 3.91/0.92 thf(f59,axiom,(
% 3.91/0.92 ! [X0 : polyno727731844poly_a,X1 : nat] : ((polyno1372495879olyh_a @ X0 @ X1) => (! [X2 : list_a] : ((polyno896877631f_bs_a @ X2 @ X0) => (((polyno422358502poly_a @ X2 @ X0)) = zero_zero_a)) => (X0 = ((polyno439679028le_C_a @ zero_zero_a)))))),
% 3.91/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_isnpolyh__zero__iff)).
% 3.91/0.92 thf(f61,axiom,(
% 3.91/0.92 ! [X0 : polyno727731844poly_a,X1 : nat] : ((polyno1372495879olyh_a @ X0 @ X1) => (((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ X0)) = ((polyno439679028le_C_a @ zero_zero_a))))),
% 3.91/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_polymul__0_I2_J)).
% 3.91/0.92 thf(f62,axiom,(
% 3.91/0.92 ! [X0 : polyno727731844poly_a,X1 : nat] : ((polyno1372495879olyh_a @ X0 @ X1) => (((polyno1934269411ymul_a @ X0 @ (polyno439679028le_C_a @ zero_zero_a))) = ((polyno439679028le_C_a @ zero_zero_a))))),
% 3.91/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_61_polymul__0_I1_J)).
% 3.91/0.92 thf(f129,axiom,(
% 3.91/0.92 ! [X2 : a,X1 : a,X0 : a] : (((times_times_a @ (times_times_a @ X0 @ X1) @ X2)) = ((times_times_a @ X0 @ (times_times_a @ X1 @ X2))))),
% 3.91/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_128_ab__semigroup__mult__class_Omult__ac_I1_J)).
% 3.91/0.92 thf(f135,axiom,(
% 3.91/0.92 ! [X2 : a,X0 : a,X1 : a] : (((times_times_a @ X0 @ (times_times_a @ X1 @ X2))) = ((times_times_a @ X1 @ (times_times_a @ X0 @ X2))))),
% 3.91/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_134_mult_Oleft__commute)).
% 3.91/0.92 thf(f147,axiom,(
% 3.91/0.92 ! [X1 : a,X0 : a,X2 : a] : ((X0 != zero_zero_a) => ((X1 = X2) = (((times_times_a @ X1 @ X0)) = ((times_times_a @ X2 @ X0)))))),
% 3.91/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_mult__right__cancel)).
% 3.91/0.92 thf(f356,conjecture,(
% 3.91/0.92 (((polyno1934269411ymul_a @ p @ q)) = ((polyno1934269411ymul_a @ q @ p)))),
% 3.91/0.92 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 3.91/0.92 thf(f357,negated_conjecture,(
% 3.91/0.92 ~ (((polyno1934269411ymul_a @ p @ q)) = ((polyno1934269411ymul_a @ q @ p)))),
% 3.91/0.92 inference(negated_conjecture,[status(cth)],[f356])).
% 3.91/0.92 thf(f358,plain,(
% 3.91/0.92 ! [X0 : list_a] : (((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ p @ q))) = ((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ q @ p)))) <=> (((polyno1934269411ymul_a @ p @ q)) = ((polyno1934269411ymul_a @ q @ p)))),
% 3.91/0.92 inference(fool_elimination,[],[f1])).
% 3.91/0.92 thf(f435,plain,(
% 3.91/0.92 ! [X0 : polyno727731844poly_a,X1 : nat] : ((polyno1372495879olyh_a @ X0 @ X1) => (((polyno1934269411ymul_a @ X0 @ (polyno439679028le_C_a @ zero_zero_a))) = ((polyno439679028le_C_a @ zero_zero_a))))),
% 3.91/0.92 inference(rectify,[],[f62])).
% 3.91/0.92 thf(f436,plain,(
% 3.91/0.92 ! [X0 : polyno727731844poly_a,X1 : nat] : ((((polyno1372495879olyh_a @ X0 @ X1)) = $true) => (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ X0 @ (polyno439679028le_C_a @ zero_zero_a)))))),
% 3.91/0.92 inference(fool_elimination,[],[f435])).
% 3.91/0.92 thf(f501,plain,(
% 3.91/0.92 ! [X0 : a,X1 : a,X2 : a] : ((zero_zero_a != X1) => ((X0 = X2) = (((times_times_a @ X0 @ X1)) = ((times_times_a @ X2 @ X1)))))),
% 3.91/0.92 inference(rectify,[],[f147])).
% 3.91/0.92 thf(f502,plain,(
% 3.91/0.92 ! [X1 : a,X2 : a,X0 : a] : ((zero_zero_a != X1) => ((((times_times_a @ X0 @ X1)) = ((times_times_a @ X2 @ X1))) <=> (X0 = X2)))),
% 3.91/0.92 inference(fool_elimination,[],[f501])).
% 3.91/0.92 thf(f509,plain,(
% 3.91/0.92 ! [X0 : polyno727731844poly_a,X1 : nat] : ((polyno1372495879olyh_a @ X0 @ X1) => (((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ X0)) = ((polyno439679028le_C_a @ zero_zero_a))))),
% 3.91/0.92 inference(rectify,[],[f61])).
% 3.91/0.92 thf(f510,plain,(
% 3.91/0.92 ! [X1 : nat,X0 : polyno727731844poly_a] : ((((polyno1372495879olyh_a @ X0 @ X1)) = $true) => (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ X0))))),
% 3.91/0.92 inference(fool_elimination,[],[f509])).
% 3.91/0.92 thf(f518,plain,(
% 3.91/0.92 (polyno1372495879olyh_a @ q @ n1)),
% 3.91/0.92 inference(rectify,[],[f3])).
% 3.91/0.92 thf(f519,plain,(
% 3.91/0.92 (((polyno1372495879olyh_a @ q @ n1)) = $true)),
% 3.91/0.92 inference(fool_elimination,[],[f518])).
% 3.91/0.92 thf(f531,plain,(
% 3.91/0.92 ! [X0 : polyno727731844poly_a,X1 : nat] : ((polyno1372495879olyh_a @ X0 @ X1) => (! [X2 : list_a] : ((polyno896877631f_bs_a @ X2 @ X0) => (((polyno422358502poly_a @ X2 @ X0)) = zero_zero_a)) => (X0 = ((polyno439679028le_C_a @ zero_zero_a)))))),
% 3.91/0.92 inference(rectify,[],[f59])).
% 3.91/0.92 thf(f532,plain,(
% 3.91/0.92 ! [X1 : nat,X0 : polyno727731844poly_a] : ((((polyno1372495879olyh_a @ X0 @ X1)) = $true) => (! [X2 : list_a] : ((((polyno896877631f_bs_a @ X2 @ X0)) = $true) => (((polyno422358502poly_a @ X2 @ X0)) = zero_zero_a)) => (((polyno439679028le_C_a @ zero_zero_a)) = X0)))),
% 3.91/0.92 inference(fool_elimination,[],[f531])).
% 3.91/0.92 thf(f540,plain,(
% 3.91/0.92 (polyno1372495879olyh_a @ p @ n0)),
% 3.91/0.92 inference(rectify,[],[f2])).
% 3.91/0.92 thf(f541,plain,(
% 3.91/0.92 (((polyno1372495879olyh_a @ p @ n0)) = $true)),
% 3.91/0.92 inference(fool_elimination,[],[f540])).
% 3.91/0.92 thf(f593,plain,(
% 3.91/0.92 ! [X2 : a,X1 : a,X0 : a] : (((times_times_a @ (times_times_a @ X2 @ X1) @ X0)) = ((times_times_a @ X2 @ (times_times_a @ X1 @ X0))))),
% 3.91/0.92 inference(rectify,[],[f129])).
% 3.91/0.92 thf(f596,plain,(
% 3.91/0.92 ! [X1 : list_a,X0 : polyno727731844poly_a,X2 : polyno727731844poly_a] : (((polyno422358502poly_a @ X1 @ (polyno1934269411ymul_a @ X2 @ X0))) = ((times_times_a @ (polyno422358502poly_a @ X1 @ X2) @ (polyno422358502poly_a @ X1 @ X0))))),
% 3.91/0.92 inference(rectify,[],[f11])).
% 3.91/0.92 thf(f645,plain,(
% 3.91/0.92 (((polyno1934269411ymul_a @ p @ q)) != ((polyno1934269411ymul_a @ q @ p)))),
% 3.91/0.92 inference(flattening,[],[f357])).
% 3.91/0.92 thf(f682,plain,(
% 3.91/0.92 ! [X1 : a,X0 : a,X2 : a] : (((times_times_a @ X1 @ (times_times_a @ X2 @ X0))) = ((times_times_a @ X2 @ (times_times_a @ X1 @ X0))))),
% 3.91/0.92 inference(rectify,[],[f135])).
% 3.91/0.92 thf(f714,plain,(
% 3.91/0.92 ! [X1 : a,X0 : a,X2 : a] : ((zero_zero_a = X1) | ((((times_times_a @ X0 @ X1)) = ((times_times_a @ X2 @ X1))) <=> (X0 = X2)))),
% 3.91/0.92 inference(ennf_transformation,[],[f502])).
% 3.91/0.92 thf(f738,plain,(
% 3.91/0.92 ! [X1 : nat,X0 : polyno727731844poly_a] : (((((polyno439679028le_C_a @ zero_zero_a)) = X0) | ? [X2 : list_a] : ((((polyno422358502poly_a @ X2 @ X0)) != zero_zero_a) & (((polyno896877631f_bs_a @ X2 @ X0)) = $true))) | (((polyno1372495879olyh_a @ X0 @ X1)) != $true))),
% 3.91/0.92 inference(ennf_transformation,[],[f532])).
% 3.91/0.92 thf(f739,plain,(
% 3.91/0.92 ! [X1 : nat,X0 : polyno727731844poly_a] : ((((polyno1372495879olyh_a @ X0 @ X1)) != $true) | (((polyno439679028le_C_a @ zero_zero_a)) = X0) | ? [X2 : list_a] : ((((polyno422358502poly_a @ X2 @ X0)) != zero_zero_a) & (((polyno896877631f_bs_a @ X2 @ X0)) = $true)))),
% 3.91/0.92 inference(flattening,[],[f738])).
% 3.91/0.92 thf(f760,plain,(
% 3.91/0.92 ! [X1 : nat,X0 : polyno727731844poly_a] : ((((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ X0))) | (((polyno1372495879olyh_a @ X0 @ X1)) != $true))),
% 3.91/0.92 inference(ennf_transformation,[],[f510])).
% 3.91/0.92 thf(f785,plain,(
% 3.91/0.92 ! [X1 : nat,X0 : polyno727731844poly_a] : ((((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ X0 @ (polyno439679028le_C_a @ zero_zero_a)))) | (((polyno1372495879olyh_a @ X0 @ X1)) != $true))),
% 3.91/0.92 inference(ennf_transformation,[],[f436])).
% 3.91/0.92 thf(f813,plain,(
% 3.91/0.92 ! [X0 : a,X1 : a,X2 : a] : (((times_times_a @ X2 @ (times_times_a @ X0 @ X1))) = ((times_times_a @ X0 @ (times_times_a @ X2 @ X1))))),
% 3.91/0.92 inference(rectify,[],[f682])).
% 3.91/0.92 thf(f834,plain,(
% 3.91/0.92 (! [X0 : list_a] : (((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ p @ q))) = ((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ q @ p)))) | (((polyno1934269411ymul_a @ p @ q)) != ((polyno1934269411ymul_a @ q @ p)))) & ((((polyno1934269411ymul_a @ p @ q)) = ((polyno1934269411ymul_a @ q @ p))) | ? [X0 : list_a] : (((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ p @ q))) != ((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ q @ p)))))),
% 3.91/0.92 inference(nnf_transformation,[],[f358])).
% 3.91/0.92 thf(f835,plain,(
% 3.91/0.92 (! [X0 : list_a] : (((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ p @ q))) = ((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ q @ p)))) | (((polyno1934269411ymul_a @ p @ q)) != ((polyno1934269411ymul_a @ q @ p)))) & ((((polyno1934269411ymul_a @ p @ q)) = ((polyno1934269411ymul_a @ q @ p))) | ? [X1 : list_a] : (((polyno422358502poly_a @ X1 @ (polyno1934269411ymul_a @ q @ p))) != ((polyno422358502poly_a @ X1 @ (polyno1934269411ymul_a @ p @ q)))))),
% 3.91/0.92 inference(rectify,[],[f834])).
% 3.91/0.92 thf(f836,plain,(
% 3.91/0.92 (! [X0 : list_a] : (((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ p @ q))) = ((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ q @ p)))) | (((polyno1934269411ymul_a @ p @ q)) != ((polyno1934269411ymul_a @ q @ p)))) & ((((polyno1934269411ymul_a @ p @ q)) = ((polyno1934269411ymul_a @ q @ p))) | (((polyno422358502poly_a @ sK4 @ (polyno1934269411ymul_a @ p @ q))) != ((polyno422358502poly_a @ sK4 @ (polyno1934269411ymul_a @ q @ p)))))),
% 3.91/0.92 inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X1,sK4)],[f835])).
% 3.91/0.92 thf(f841,plain,(
% 3.91/0.92 ! [X0 : nat,X1 : polyno727731844poly_a] : ((((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ X1))) | (((polyno1372495879olyh_a @ X1 @ X0)) != $true))),
% 3.91/0.92 inference(rectify,[],[f760])).
% 3.91/0.92 thf(f842,plain,(
% 3.91/0.92 ! [X0 : list_a,X1 : polyno727731844poly_a,X2 : polyno727731844poly_a] : (((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ X2 @ X1))) = ((times_times_a @ (polyno422358502poly_a @ X0 @ X2) @ (polyno422358502poly_a @ X0 @ X1))))),
% 3.91/0.92 inference(rectify,[],[f596])).
% 3.91/0.92 thf(f953,plain,(
% 3.91/0.92 ! [X0 : a,X1 : a,X2 : a] : (((times_times_a @ (times_times_a @ X0 @ X1) @ X2)) = ((times_times_a @ X0 @ (times_times_a @ X1 @ X2))))),
% 3.91/0.92 inference(rectify,[],[f593])).
% 3.91/0.92 thf(f965,plain,(
% 3.91/0.92 ! [X0 : nat,X1 : polyno727731844poly_a] : ((((polyno1372495879olyh_a @ X1 @ X0)) != $true) | (((polyno439679028le_C_a @ zero_zero_a)) = X1) | ? [X2 : list_a] : ((zero_zero_a != ((polyno422358502poly_a @ X2 @ X1))) & (((polyno896877631f_bs_a @ X2 @ X1)) = $true)))),
% 3.91/0.92 inference(rectify,[],[f739])).
% 3.91/0.92 thf(f966,plain,(
% 3.91/0.92 ! [X0 : nat,X1 : polyno727731844poly_a] : ((((polyno1372495879olyh_a @ X1 @ X0)) != $true) | (((polyno439679028le_C_a @ zero_zero_a)) = X1) | ((zero_zero_a != ((polyno422358502poly_a @ (sK21 @ X1) @ X1))) & ($true = ((polyno896877631f_bs_a @ (sK21 @ X1) @ X1)))))),
% 3.91/0.92 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK5 @ X0)],[f965])).
% 3.91/0.92 thf(f990,plain,(
% 3.91/0.92 ! [X0 : nat,X1 : polyno727731844poly_a] : ((((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ X1 @ (polyno439679028le_C_a @ zero_zero_a)))) | (((polyno1372495879olyh_a @ X1 @ X0)) != $true))),
% 3.91/0.92 inference(rectify,[],[f785])).
% 3.91/0.92 thf(f991,plain,(
% 3.91/0.92 ! [X1 : a,X0 : a,X2 : a] : ((zero_zero_a = X1) | (((((times_times_a @ X0 @ X1)) = ((times_times_a @ X2 @ X1))) | (X0 != X2)) & ((X0 = X2) | (((times_times_a @ X0 @ X1)) != ((times_times_a @ X2 @ X1))))))),
% 3.91/0.92 inference(nnf_transformation,[],[f714])).
% 3.91/0.92 thf(f992,plain,(
% 3.91/0.92 ! [X0 : a,X1 : a,X2 : a] : ((zero_zero_a = X0) | (((((times_times_a @ X1 @ X0)) = ((times_times_a @ X2 @ X0))) | (X1 != X2)) & ((X1 = X2) | (((times_times_a @ X1 @ X0)) != ((times_times_a @ X2 @ X0))))))),
% 3.91/0.92 inference(rectify,[],[f991])).
% 3.91/0.92 thf(f1111,plain,(
% 3.91/0.92 ( ! [X2 : a,X0 : a,X1 : a] : ((((times_times_a @ X2 @ (times_times_a @ X0 @ X1))) = ((times_times_a @ X0 @ (times_times_a @ X2 @ X1))))) )),
% 3.91/0.92 inference(cnf_transformation,[],[f813])).
% 3.91/0.92 thf(f1141,plain,(
% 3.91/0.92 (((polyno1934269411ymul_a @ p @ q)) != ((polyno1934269411ymul_a @ q @ p)))),
% 3.91/0.92 inference(cnf_transformation,[],[f645])).
% 3.91/0.92 thf(f1150,plain,(
% 3.91/0.92 (((polyno422358502poly_a @ sK4 @ (polyno1934269411ymul_a @ p @ q))) != ((polyno422358502poly_a @ sK4 @ (polyno1934269411ymul_a @ q @ p)))) | (((polyno1934269411ymul_a @ p @ q)) = ((polyno1934269411ymul_a @ q @ p)))),
% 3.91/0.92 inference(cnf_transformation,[],[f836])).
% 3.91/0.92 thf(f1161,plain,(
% 3.91/0.92 ( ! [X0 : nat,X1 : polyno727731844poly_a] : ((((polyno1372495879olyh_a @ X1 @ X0)) != $true) | (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ X1)))) )),
% 3.91/0.92 inference(cnf_transformation,[],[f841])).
% 3.91/0.92 thf(f1162,plain,(
% 3.91/0.92 ( ! [X2 : polyno727731844poly_a,X0 : list_a,X1 : polyno727731844poly_a] : ((((polyno422358502poly_a @ X0 @ (polyno1934269411ymul_a @ X2 @ X1))) = ((times_times_a @ (polyno422358502poly_a @ X0 @ X2) @ (polyno422358502poly_a @ X0 @ X1))))) )),
% 3.91/0.92 inference(cnf_transformation,[],[f842])).
% 3.91/0.92 thf(f1408,plain,(
% 3.91/0.92 ( ! [X2 : a,X0 : a,X1 : a] : ((((times_times_a @ (times_times_a @ X0 @ X1) @ X2)) = ((times_times_a @ X0 @ (times_times_a @ X1 @ X2))))) )),
% 3.91/0.92 inference(cnf_transformation,[],[f953])).
% 3.91/0.92 thf(f1425,plain,(
% 3.91/0.92 ( ! [X0 : nat,X1 : polyno727731844poly_a] : ((zero_zero_a != ((polyno422358502poly_a @ (sK21 @ X1) @ X1))) | (((polyno439679028le_C_a @ zero_zero_a)) = X1) | (((polyno1372495879olyh_a @ X1 @ X0)) != $true)) )),
% 3.91/0.92 inference(cnf_transformation,[],[f966])).
% 3.91/0.92 thf(f1464,plain,(
% 3.91/0.92 ( ! [X0 : nat,X1 : polyno727731844poly_a] : ((((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ X1 @ (polyno439679028le_C_a @ zero_zero_a)))) | (((polyno1372495879olyh_a @ X1 @ X0)) != $true)) )),
% 3.91/0.92 inference(cnf_transformation,[],[f990])).
% 3.91/0.92 thf(f1465,plain,(
% 3.91/0.92 ( ! [X2 : a,X0 : a,X1 : a] : ((((times_times_a @ X1 @ X0)) != ((times_times_a @ X2 @ X0))) | (zero_zero_a = X0) | (X1 = X2)) )),
% 3.91/0.92 inference(cnf_transformation,[],[f992])).
% 3.91/0.92 thf(f1491,plain,(
% 3.91/0.92 (((polyno1372495879olyh_a @ p @ n0)) = $true)),
% 3.91/0.92 inference(cnf_transformation,[],[f541])).
% 3.91/0.92 thf(f1640,plain,(
% 3.91/0.92 (((polyno1372495879olyh_a @ q @ n1)) = $true)),
% 3.91/0.92 inference(cnf_transformation,[],[f519])).
% 3.91/0.92 thf(f2076,definition,(
% 3.91/0.92 spl42_3 <=> ! [X0 : nat,X3 : polyno727731844poly_a] : ((((polyno1372495879olyh_a @ X3 @ X0)) != $true) | (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ X3 @ (polyno439679028le_C_a @ zero_zero_a)))))),
% 3.91/0.92 introduced(definition,[new_symbols(definition,[spl42_3])],[avatar_definition])).
% 3.91/0.92 thf(f2077,plain,(
% 3.91/0.92 ( ! [X3 : polyno727731844poly_a,X0 : nat] : ((((polyno1372495879olyh_a @ X3 @ X0)) != $true) | (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ X3 @ (polyno439679028le_C_a @ zero_zero_a))))) ) | ~spl42_3),
% 3.91/0.92 inference(avatar_component_clause,[],[f2076])).
% 3.91/0.92 thf(f2096,definition,(
% 3.91/0.92 spl42_8 <=> (((polyno1934269411ymul_a @ p @ q)) = ((polyno1934269411ymul_a @ q @ p)))),
% 3.91/0.92 introduced(definition,[new_symbols(definition,[spl42_8])],[avatar_definition])).
% 3.91/0.92 thf(f2099,plain,(
% 3.91/0.92 ~spl42_8),
% 3.91/0.92 inference(avatar_split_clause,[],[f1141,f2096])).
% 3.91/0.92 thf(f2120,definition,(
% 3.91/0.92 spl42_13 <=> (((polyno1372495879olyh_a @ q @ n1)) = $true)),
% 3.91/0.92 introduced(definition,[new_symbols(definition,[spl42_13])],[avatar_definition])).
% 3.91/0.92 thf(f2122,plain,(
% 3.91/0.92 (((polyno1372495879olyh_a @ q @ n1)) = $true) | ~spl42_13),
% 3.91/0.92 inference(avatar_component_clause,[],[f2120])).
% 3.91/0.92 thf(f2123,plain,(
% 3.91/0.92 spl42_13),
% 3.91/0.92 inference(avatar_split_clause,[],[f1640,f2120])).
% 3.91/0.92 thf(f2140,definition,(
% 3.91/0.92 spl42_17 <=> ! [X2 : polyno727731844poly_a,X1 : nat] : ((((polyno1372495879olyh_a @ X2 @ X1)) != $true) | (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ X2))))),
% 3.91/0.92 introduced(definition,[new_symbols(definition,[spl42_17])],[avatar_definition])).
% 3.91/0.92 thf(f2141,plain,(
% 3.91/0.92 ( ! [X2 : polyno727731844poly_a,X1 : nat] : ((((polyno1372495879olyh_a @ X2 @ X1)) != $true) | (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ X2)))) ) | ~spl42_17),
% 3.91/0.92 inference(avatar_component_clause,[],[f2140])).
% 3.91/0.92 thf(f2167,plain,(
% 3.91/0.92 spl42_3),
% 3.91/0.92 inference(avatar_split_clause,[],[f1464,f2076])).
% 3.91/0.92 thf(f2179,definition,(
% 3.91/0.92 spl42_25 <=> (((polyno1372495879olyh_a @ p @ n0)) = $true)),
% 3.91/0.92 introduced(definition,[new_symbols(definition,[spl42_25])],[avatar_definition])).
% 3.91/0.92 thf(f2181,plain,(
% 3.91/0.92 (((polyno1372495879olyh_a @ p @ n0)) = $true) | ~spl42_25),
% 3.91/0.92 inference(avatar_component_clause,[],[f2179])).
% 3.91/0.92 thf(f2182,plain,(
% 3.91/0.92 spl42_25),
% 3.91/0.92 inference(avatar_split_clause,[],[f1491,f2179])).
% 3.91/0.92 thf(f2184,definition,(
% 3.91/0.92 spl42_26 <=> (((polyno422358502poly_a @ sK4 @ (polyno1934269411ymul_a @ p @ q))) = ((polyno422358502poly_a @ sK4 @ (polyno1934269411ymul_a @ q @ p))))),
% 3.91/0.92 introduced(definition,[new_symbols(definition,[spl42_26])],[avatar_definition])).
% 3.91/0.92 thf(f2186,plain,(
% 3.91/0.92 (((polyno422358502poly_a @ sK4 @ (polyno1934269411ymul_a @ p @ q))) != ((polyno422358502poly_a @ sK4 @ (polyno1934269411ymul_a @ q @ p)))) | spl42_26),
% 3.91/0.92 inference(avatar_component_clause,[],[f2184])).
% 3.91/0.92 thf(f2187,plain,(
% 3.91/0.92 ~spl42_26 | spl42_8),
% 3.91/0.92 inference(avatar_split_clause,[],[f1150,f2096,f2184])).
% 3.91/0.92 thf(f2217,plain,(
% 3.91/0.92 spl42_17),
% 3.91/0.92 inference(avatar_split_clause,[],[f1161,f2140])).
% 3.91/0.92 thf(f2225,plain,(
% 3.91/0.92 ($true != $true) | (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ q @ (polyno439679028le_C_a @ zero_zero_a)))) | (~spl42_3 | ~spl42_13)),
% 3.91/0.92 inference(superposition,[],[f2077,f2122])).
% 3.91/0.92 thf(f2230,plain,(
% 3.91/0.92 (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ q @ (polyno439679028le_C_a @ zero_zero_a)))) | (~spl42_3 | ~spl42_13)),
% 3.91/0.92 inference(trivial_inequality_removal,[],[f2225])).
% 3.91/0.92 thf(f2242,definition,(
% 3.91/0.92 spl42_33 <=> (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ q @ (polyno439679028le_C_a @ zero_zero_a))))),
% 3.91/0.92 introduced(definition,[new_symbols(definition,[spl42_33])],[avatar_definition])).
% 3.91/0.92 thf(f2245,plain,(
% 3.91/0.92 spl42_33 | ~spl42_3 | ~spl42_13),
% 3.91/0.92 inference(avatar_split_clause,[],[f2230,f2120,f2076,f2242])).
% 3.91/0.92 thf(f2246,plain,(
% 3.91/0.92 (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ q))) | (~spl42_13 | ~spl42_17)),
% 3.91/0.92 inference(unit_resulting_resolution,[],[f2141,f2122])).
% 3.91/0.92 thf(f2262,definition,(
% 3.91/0.92 spl42_35 <=> (((polyno439679028le_C_a @ zero_zero_a)) = ((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ q)))),
% 3.91/0.92 introduced(definition,[new_symbols(definition,[spl42_35])],[avatar_definition])).
% 3.91/0.92 thf(f2265,plain,(
% 3.91/0.92 spl42_35 | ~spl42_13 | ~spl42_17),
% 3.91/0.92 inference(avatar_split_clause,[],[f2246,f2140,f2120,f2262])).
% 3.91/0.92 thf(f2284,definition,(
% 3.91/0.92 spl42_39 <=> (p = ((polyno439679028le_C_a @ zero_zero_a)))),
% 3.91/0.92 introduced(definition,[new_symbols(definition,[spl42_39])],[avatar_definition])).
% 3.91/0.92 thf(f2285,plain,(
% 3.91/0.92 (p != ((polyno439679028le_C_a @ zero_zero_a))) | spl42_39),
% 3.91/0.92 inference(avatar_component_clause,[],[f2284])).
% 3.91/0.92 thf(f2317,definition,(
% 3.91/0.92 (p != ((polyno439679028le_C_a @ zero_zero_a))) | (((polyno439679028le_C_a @ zero_zero_a)) != ((polyno1934269411ymul_a @ (polyno439679028le_C_a @ zero_zero_a) @ q))) | (((polyno439679028le_C_a @ zero_zero_a)) != ((polyno1934269411ymul_a @ q @ (polyno439679028le_C_a @ zero_zero_a)))) | (((polyno1934269411ymul_a @ p @ q)) = ((polyno1934269411ymul_a @ q @ p)))),
% 3.91/0.92 introduced(theory,[theory_tautology_sat_conflict])).
% 3.91/0.92 thf(f2335,plain,(
% 3.91/0.92 (((polyno422358502poly_a @ sK4 @ (polyno1934269411ymul_a @ p @ q))) != ((times_times_a @ (polyno422358502poly_a @ sK4 @ q) @ (polyno422358502poly_a @ sK4 @ p)))) | spl42_26),
% 3.91/0.92 inference(backward_demodulation,[],[f2186,f1162])).
% 3.91/0.92 thf(f2342,plain,(
% 3.91/0.92 (((times_times_a @ (polyno422358502poly_a @ sK4 @ q) @ (polyno422358502poly_a @ sK4 @ p))) != ((times_times_a @ (polyno422358502poly_a @ sK4 @ p) @ (polyno422358502poly_a @ sK4 @ q)))) | spl42_26),
% 3.91/0.92 inference(forward_demodulation,[],[f2335,f1162])).
% 3.91/0.92 thf(f2347,definition,(
% 3.91/0.92 spl42_44 <=> (((times_times_a @ (polyno422358502poly_a @ sK4 @ q) @ (polyno422358502poly_a @ sK4 @ p))) = ((times_times_a @ (polyno422358502poly_a @ sK4 @ p) @ (polyno422358502poly_a @ sK4 @ q))))),
% 3.91/0.92 introduced(definition,[new_symbols(definition,[spl42_44])],[avatar_definition])).
% 3.91/0.92 thf(f2349,plain,(
% 3.91/0.92 (((times_times_a @ (polyno422358502poly_a @ sK4 @ q) @ (polyno422358502poly_a @ sK4 @ p))) != ((times_times_a @ (polyno422358502poly_a @ sK4 @ p) @ (polyno422358502poly_a @ sK4 @ q)))) | spl42_44),
% 3.91/0.92 inference(avatar_component_clause,[],[f2347])).
% 3.91/0.92 thf(f2350,plain,(
% 3.91/0.92 ~spl42_44 | spl42_26),
% 3.91/0.92 inference(avatar_split_clause,[],[f2342,f2184,f2347])).
% 3.91/0.92 thf(f2390,plain,(
% 3.91/0.92 (zero_zero_a != ((polyno422358502poly_a @ (sK21 @ p) @ p))) | (~spl42_25 | spl42_39)),
% 3.91/0.92 inference(unit_resulting_resolution,[],[f1425,f2181,f2285])).
% 3.91/0.92 thf(f2410,definition,(
% 3.91/0.92 spl42_50 <=> (zero_zero_a = ((polyno422358502poly_a @ (sK21 @ p) @ p)))),
% 3.91/0.92 introduced(definition,[new_symbols(definition,[spl42_50])],[avatar_definition])).
% 3.91/0.92 thf(f2412,plain,(
% 3.91/0.92 (zero_zero_a != ((polyno422358502poly_a @ (sK21 @ p) @ p))) | spl42_50),
% 3.91/0.92 inference(avatar_component_clause,[],[f2410])).
% 3.91/0.92 thf(f2413,plain,(
% 3.91/0.92 ~spl42_50 | ~spl42_25 | spl42_39),
% 3.91/0.92 inference(avatar_split_clause,[],[f2390,f2284,f2179,f2410])).
% 3.91/0.92 thf(f10130,plain,(
% 3.91/0.92 (((times_times_a @ (times_times_a @ (polyno422358502poly_a @ sK4 @ q) @ (polyno422358502poly_a @ sK4 @ p)) @ (polyno422358502poly_a @ (sK21 @ p) @ p))) != ((times_times_a @ (times_times_a @ (polyno422358502poly_a @ sK4 @ p) @ (polyno422358502poly_a @ sK4 @ q)) @ (polyno422358502poly_a @ (sK21 @ p) @ p)))) | (spl42_44 | spl42_50)),
% 3.91/0.92 inference(unit_resulting_resolution,[],[f1465,f2349,f2412])).
% 3.91/0.92 thf(f10172,plain,(
% 3.91/0.92 (((times_times_a @ (times_times_a @ (polyno422358502poly_a @ sK4 @ q) @ (polyno422358502poly_a @ sK4 @ p)) @ (polyno422358502poly_a @ (sK21 @ p) @ p))) != ((times_times_a @ (polyno422358502poly_a @ sK4 @ p) @ (times_times_a @ (polyno422358502poly_a @ sK4 @ q) @ (polyno422358502poly_a @ (sK21 @ p) @ p))))) | (spl42_44 | spl42_50)),
% 3.91/0.92 inference(forward_demodulation,[],[f10130,f1408])).
% 3.91/0.92 thf(f10229,plain,(
% 3.91/0.92 (((times_times_a @ (polyno422358502poly_a @ sK4 @ q) @ (times_times_a @ (polyno422358502poly_a @ sK4 @ p) @ (polyno422358502poly_a @ (sK21 @ p) @ p)))) != ((times_times_a @ (polyno422358502poly_a @ sK4 @ p) @ (times_times_a @ (polyno422358502poly_a @ sK4 @ q) @ (polyno422358502poly_a @ (sK21 @ p) @ p))))) | (spl42_44 | spl42_50)),
% 3.91/0.92 inference(forward_demodulation,[],[f10172,f1408])).
% 3.91/0.92 thf(f10242,plain,(
% 3.91/0.92 $false | (spl42_44 | spl42_50)),
% 3.91/0.92 inference(forward_subsumption_resolution,[],[f10229,f1111])).
% 3.91/0.92 thf(f10243,plain,(
% 3.91/0.92 spl42_44 | spl42_50),
% 3.91/0.92 inference(avatar_contradiction_clause,[],[f10242])).
% 3.91/0.92 cnf(s6, plain, ~spl42_8, inference(sat_conversion,[],[f2099])).
% 3.91/0.92 cnf(s12, plain, spl42_13, inference(sat_conversion,[],[f2123])).
% 3.91/0.92 cnf(s24, plain, spl42_3, inference(sat_conversion,[],[f2167])).
% 3.91/0.92 cnf(s27, plain, spl42_25, inference(sat_conversion,[],[f2182])).
% 3.91/0.92 cnf(s28, plain, spl42_8 | ~spl42_26, inference(sat_conversion,[],[f2187])).
% 3.91/0.92 cnf(s33, plain, spl42_17, inference(sat_conversion,[],[f2217])).
% 3.91/0.92 cnf(s37, plain, ~spl42_3 | ~spl42_13 | spl42_33, inference(sat_conversion,[],[f2245])).
% 3.91/0.92 cnf(s42, plain, ~spl42_13 | ~spl42_17 | spl42_35, inference(sat_conversion,[],[f2265])).
% 3.91/0.92 cnf(s52, plain, spl42_8 | ~spl42_33 | ~spl42_35 | ~spl42_39, inference(sat_conversion,[],[f2317])).
% 3.91/0.92 cnf(s56, plain, spl42_26 | ~spl42_44, inference(sat_conversion,[],[f2350])).
% 3.91/0.92 cnf(s63, plain, ~spl42_25 | spl42_39 | ~spl42_50, inference(sat_conversion,[],[f2413])).
% 3.91/0.92 cnf(s1323, plain, spl42_44 | spl42_50, inference(sat_conversion,[],[f10243])).
% 3.91/0.92 cnf(s1358, plain, spl42_35, inference(rat,[],[s42,s33,s12])).
% 3.91/0.92 cnf(s1359, plain, spl42_33, inference(rat,[],[s37,s24,s12])).
% 3.91/0.92 cnf(s1375, plain, ~spl42_39, inference(rat,[],[s52,s1359,s1358,s6])).
% 3.91/0.92 cnf(s1377, plain, ~spl42_26, inference(rat,[],[s28,s6])).
% 3.91/0.92 cnf(s1384, plain, ~spl42_50, inference(rat,[],[s63,s27,s1375])).
% 3.91/0.92 cnf(s1398, plain, ~spl42_44, inference(rat,[],[s56,s1377])).
% 3.91/0.92 cnf(s1438, plain, $false, inference(rat,[],[s1323,s1384,s1398])).
% 3.91/0.92 thf(f10246,plain,(
% 3.91/0.92 $false),
% 3.91/0.92 inference(avatar_sat_refutation,[],[s1438])).
% 3.91/0.92 % SZS output end Proof for theBenchmark
% 3.91/0.92 % (3141381)------------------------------
% 3.91/0.92 % (3141381)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.91/0.92 % (3141381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/0.92 % (3141381)CaDiCaL version: 2.1.3
% 3.91/0.92 % (3141381)Termination reason: Refutation
% 3.91/0.92 % (3141381)Time elapsed: 0.364 s
% 3.91/0.92 % (3141381)Peak memory usage: 21 MB
% 3.91/0.92 % (3141381)Instructions burned: 710 (million)
% 3.91/0.92 % (3141292)Success in time 0.659 s
% 3.91/0.92 % Vampire exiting
%------------------------------------------------------------------------------