%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP187^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 08:08:44 AM UTC 2026
% Result : Theorem 0.66s 0.47s
% Output : Refutation 0.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP187^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n020.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 20:09:50 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.22/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.41 % (1527296)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.66/0.41 % (1527302)lrs+10_16_si=on:nwc=1.5:random_seed=4238345446:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.66/0.41 % (1527307)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.66/0.41 % (1527307)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
% 0.66/0.41 % (1527302)Instruction limit reached!
% 0.66/0.41 % (1527302)------------------------------
% 0.66/0.41 % (1527302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (1527302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (1527302)CaDiCaL version: 2.1.3
% 0.66/0.41 % (1527302)Termination reason: Instruction limit
% 0.66/0.41 % (1527302)Termination phase: shuffling
% 0.66/0.41 % (1527302)Time elapsed: 0.006 s
% 0.66/0.41 % (1527302)Peak memory usage: 11 MB
% 0.66/0.41 % (1527302)Instructions burned: 23 (million)
% 0.66/0.41 % (1527303)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=636268393:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.66/0.41 % (1527301)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1949516658:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.66/0.41 % (1527304)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=3852177455: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)
% 0.66/0.41 % (1527305)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=35980124:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.66/0.41 % (1527306)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=722482390:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.66/0.41 % (1527307)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=450259359:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.66/0.41 % (1527303)Instruction limit reached!
% 0.66/0.41 % (1527303)------------------------------
% 0.66/0.41 % (1527303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (1527303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (1527303)CaDiCaL version: 2.1.3
% 0.66/0.41 % (1527303)Termination reason: Instruction limit
% 0.66/0.41 % (1527303)Termination phase: shuffling
% 0.66/0.41 % (1527303)Time elapsed: 0.002 s
% 0.66/0.41 % (1527303)Peak memory usage: 10 MB
% 0.66/0.41 % (1527303)Instructions burned: 4 (million)
% 0.66/0.41 % (1527309)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1457828768:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.66/0.41 % (1527309)Instruction limit reached!
% 0.66/0.41 % (1527309)------------------------------
% 0.66/0.41 % (1527309)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (1527309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (1527309)CaDiCaL version: 2.1.3
% 0.66/0.41 % (1527309)Termination reason: Instruction limit
% 0.66/0.41 % (1527309)Termination phase: shuffling
% 0.66/0.41 % (1527309)Time elapsed: 0.001 s
% 0.66/0.41 % (1527309)Peak memory usage: 10 MB
% 0.66/0.41 % (1527309)Instructions burned: 4 (million)
% 0.66/0.41 % (1527305)Instruction limit reached!
% 0.66/0.41 % (1527305)------------------------------
% 0.66/0.41 % (1527305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (1527305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (1527305)CaDiCaL version: 2.1.3
% 0.66/0.41 % (1527305)Termination reason: Instruction limit
% 0.66/0.41 % (1527305)Termination phase: Property scanning
% 0.66/0.41 % (1527305)Time elapsed: 0.012 s
% 0.66/0.41 % (1527305)Peak memory usage: 11 MB
% 0.66/0.41 % (1527305)Instructions burned: 26 (million)
% 0.66/0.41 % (1527318)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.45 % (1527316)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3066144253:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.66/0.45 % (1527318)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2517894447:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.66/0.45 % (1527318)Instruction limit reached!
% 0.66/0.45 % (1527318)------------------------------
% 0.66/0.45 % (1527318)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.45 % (1527318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.45 % (1527318)CaDiCaL version: 2.1.3
% 0.66/0.45 % (1527318)Termination reason: Instruction limit
% 0.66/0.45 % (1527318)Termination phase: shuffling
% 0.66/0.45 % (1527318)Time elapsed: 0.002 s
% 0.66/0.45 % (1527318)Peak memory usage: 10 MB
% 0.66/0.45 % (1527318)Instructions burned: 10 (million)
% 0.66/0.45 % (1527316)Instruction limit reached!
% 0.66/0.45 % (1527316)------------------------------
% 0.66/0.45 % (1527316)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.45 % (1527316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.45 % (1527316)CaDiCaL version: 2.1.3
% 0.66/0.45 % (1527316)Termination reason: Instruction limit
% 0.66/0.45 % (1527316)Termination phase: shuffling
% 0.66/0.45 % (1527316)Time elapsed: 0.003 s
% 0.66/0.45 % (1527316)Peak memory usage: 10 MB
% 0.66/0.45 % (1527316)Instructions burned: 7 (million)
% 0.66/0.45 % (1527319)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1472170405:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.66/0.45 % (1527322)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
% 0.66/0.45 % (1527322)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.45 % (1527322)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=381444487:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.66/0.45 % (1527306)Instruction limit reached!
% 0.66/0.45 % (1527306)------------------------------
% 0.66/0.45 % (1527306)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.45 % (1527306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.45 % (1527306)CaDiCaL version: 2.1.3
% 0.66/0.45 % (1527306)Termination reason: Instruction limit
% 0.66/0.45 % (1527306)Termination phase: Preprocessing 3
% 0.66/0.45 % (1527306)Time elapsed: 0.035 s
% 0.66/0.45 % (1527306)Peak memory usage: 12 MB
% 0.66/0.45 % (1527306)Instructions burned: 75 (million)
% 0.66/0.45 % (1527319)Instruction limit reached!
% 0.66/0.45 % (1527319)------------------------------
% 0.66/0.45 % (1527319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.45 % (1527319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.45 % (1527319)CaDiCaL version: 2.1.3
% 0.66/0.45 % (1527319)Termination reason: Instruction limit
% 0.66/0.45 % (1527319)Termination phase: shuffling
% 0.66/0.45 % (1527319)Time elapsed: 0.006 s
% 0.66/0.45 % (1527319)Peak memory usage: 10 MB
% 0.66/0.45 % (1527319)Instructions burned: 13 (million)
% 0.66/0.45 % (1527322)Instruction limit reached!
% 0.66/0.45 % (1527322)------------------------------
% 0.66/0.45 % (1527322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.45 % (1527322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.45 % (1527322)CaDiCaL version: 2.1.3
% 0.66/0.45 % (1527322)Termination reason: Instruction limit
% 0.66/0.45 % (1527322)Termination phase: shuffling
% 0.66/0.45 % (1527322)Time elapsed: 0.008 s
% 0.66/0.45 % (1527322)Peak memory usage: 11 MB
% 0.66/0.45 % (1527322)Instructions burned: 32 (million)
% 0.66/0.45 % (1527323)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=1020679571:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.66/0.45 % (1527328)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=735310303:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.66/0.47 % (1527327)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.66/0.47 % (1527326)lrs+10_1_si=on:cs=on:random_seed=146505400:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.66/0.47 % (1527327)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=1720869075:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.66/0.47 % (1527326)Instruction limit reached!
% 0.66/0.47 % (1527326)------------------------------
% 0.66/0.47 % (1527326)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527326)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527326)Termination reason: Instruction limit
% 0.66/0.47 % (1527326)Termination phase: shuffling
% 0.66/0.47 % (1527326)Time elapsed: 0.005 s
% 0.66/0.47 % (1527326)Peak memory usage: 10 MB
% 0.66/0.47 % (1527326)Instructions burned: 9 (million)
% 0.66/0.47 % (1527327)Instruction limit reached!
% 0.66/0.47 % (1527327)------------------------------
% 0.66/0.47 % (1527327)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527327)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527327)Termination reason: Instruction limit
% 0.66/0.47 % (1527327)Termination phase: shuffling
% 0.66/0.47 % (1527327)Time elapsed: 0.003 s
% 0.66/0.47 % (1527327)Peak memory usage: 10 MB
% 0.66/0.47 % (1527327)Instructions burned: 5 (million)
% 0.66/0.47 % (1527328)Instruction limit reached!
% 0.66/0.47 % (1527328)------------------------------
% 0.66/0.47 % (1527328)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527328)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527328)Termination reason: Instruction limit
% 0.66/0.47 % (1527328)Termination phase: SInE selection
% 0.66/0.47 % (1527328)Time elapsed: 0.009 s
% 0.66/0.47 % (1527328)Peak memory usage: 11 MB
% 0.66/0.47 % (1527328)Instructions burned: 40 (million)
% 0.66/0.47 % (1527307)Instruction limit reached!
% 0.66/0.47 % (1527307)------------------------------
% 0.66/0.47 % (1527307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527307)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527307)Termination reason: Instruction limit
% 0.66/0.47 % (1527307)Termination phase: Saturation
% 0.66/0.47 % (1527307)Time elapsed: 0.071 s
% 0.66/0.47 % (1527307)Peak memory usage: 14 MB
% 0.66/0.47 % (1527307)Instructions burned: 157 (million)
% 0.66/0.47 % (1527334)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1199890621:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.66/0.47 % (1527301)Instruction limit reached!
% 0.66/0.47 % (1527301)------------------------------
% 0.66/0.47 % (1527301)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527301)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527301)Termination reason: Instruction limit
% 0.66/0.47 % (1527301)Termination phase: Property scanning
% 0.66/0.47 % (1527301)Time elapsed: 0.079 s
% 0.66/0.47 % (1527301)Peak memory usage: 12 MB
% 0.66/0.47 % (1527301)Instructions burned: 88 (million)
% 0.66/0.47 % (1527333)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3141774000:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.66/0.47 % (1527334)Instruction limit reached!
% 0.66/0.47 % (1527334)------------------------------
% 0.66/0.47 % (1527334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527334)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527334)Termination reason: Instruction limit
% 0.66/0.47 % (1527334)Termination phase: Property scanning
% 0.66/0.47 % (1527334)Time elapsed: 0.006 s
% 0.66/0.47 % (1527334)Peak memory usage: 11 MB
% 0.66/0.47 % (1527334)Instructions burned: 28 (million)
% 0.66/0.47 % (1527323)Instruction limit reached!
% 0.66/0.47 % (1527323)------------------------------
% 0.66/0.47 % (1527323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527323)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527323)Termination reason: Instruction limit
% 0.66/0.47 % (1527323)Termination phase: Preprocessing 1
% 0.66/0.47 % (1527323)Time elapsed: 0.037 s
% 0.66/0.47 % (1527323)Peak memory usage: 11 MB
% 0.66/0.47 % (1527323)Instructions burned: 86 (million)
% 0.66/0.47 % (1527335)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2698371432:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.66/0.47 % (1527335)Instruction limit reached!
% 0.66/0.47 % (1527335)------------------------------
% 0.66/0.47 % (1527335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527336)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=405575329:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.66/0.47 % (1527335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527335)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527335)Termination reason: Instruction limit
% 0.66/0.47 % (1527335)Termination phase: shuffling
% 0.66/0.47 % (1527335)Time elapsed: 0.007 s
% 0.66/0.47 % (1527335)Peak memory usage: 11 MB
% 0.66/0.47 % (1527335)Instructions burned: 16 (million)
% 0.66/0.47 % (1527340)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3169176859: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)
% 0.66/0.47 % (1527340)Instruction limit reached!
% 0.66/0.47 % (1527340)------------------------------
% 0.66/0.47 % (1527340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527340)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527340)Termination reason: Instruction limit
% 0.66/0.47 % (1527340)Termination phase: shuffling
% 0.66/0.47 % (1527340)Time elapsed: 0.001 s
% 0.66/0.47 % (1527340)Peak memory usage: 10 MB
% 0.66/0.47 % (1527340)Instructions burned: 3 (million)
% 0.66/0.47 % (1527338)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2170126511:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.66/0.47 % (1527341)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1359600509:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.66/0.47 % (1527346)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=545263999:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.66/0.47 % (1527338)Instruction limit reached!
% 0.66/0.47 % (1527338)------------------------------
% 0.66/0.47 % (1527338)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527338)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527338)Termination reason: Instruction limit
% 0.66/0.47 % (1527338)Termination phase: shuffling
% 0.66/0.47 % (1527338)Time elapsed: 0.007 s
% 0.66/0.47 % (1527338)Peak memory usage: 10 MB
% 0.66/0.47 % (1527338)Instructions burned: 16 (million)
% 0.66/0.47 % (1527344)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3594546085:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.66/0.47 % (1527341)Instruction limit reached!
% 0.66/0.47 % (1527341)------------------------------
% 0.66/0.47 % (1527341)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527341)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527341)Termination reason: Instruction limit
% 0.66/0.47 % (1527341)Termination phase: shuffling
% 0.66/0.47 % (1527341)Time elapsed: 0.012 s
% 0.66/0.47 % (1527341)Peak memory usage: 11 MB
% 0.66/0.47 % (1527341)Instructions burned: 27 (million)
% 0.66/0.47 % (1527346)Instruction limit reached!
% 0.66/0.47 % (1527346)------------------------------
% 0.66/0.47 % (1527346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527346)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527346)Termination reason: Instruction limit
% 0.66/0.47 % (1527346)Termination phase: Preprocessing 3
% 0.66/0.47 % (1527346)Time elapsed: 0.015 s
% 0.66/0.47 % (1527346)Peak memory usage: 12 MB
% 0.66/0.47 % (1527346)Instructions burned: 63 (million)
% 0.66/0.47 % (1527350)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
% 0.66/0.47 % (1527350)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.66/0.47 % (1527344)Instruction limit reached!
% 0.66/0.47 % (1527344)------------------------------
% 0.66/0.47 % (1527344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527344)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527344)Termination reason: Instruction limit
% 0.66/0.47 % (1527344)Termination phase: shuffling
% 0.66/0.47 % (1527344)Time elapsed: 0.011 s
% 0.66/0.47 % (1527344)Peak memory usage: 11 MB
% 0.66/0.47 % (1527344)Instructions burned: 25 (million)
% 0.66/0.47 % (1527350)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=2718766423:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.66/0.47 % (1527333) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1527296-1527333"...
% 0.66/0.47 % (1527352)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.66/0.47 % (1527353)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=44300572:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 0.66/0.47 % (1527333)...printing done.
% 0.66/0.47 % (1527350)Instruction limit reached!
% 0.66/0.47 % (1527350)------------------------------
% 0.66/0.47 % (1527350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527350)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527350)Termination reason: Instruction limit
% 0.66/0.47 % (1527350)Termination phase: shuffling
% 0.66/0.47 % (1527350)Time elapsed: 0.007 s
% 0.66/0.47 % (1527350)Peak memory usage: 10 MB
% 0.66/0.47 % (1527350)Instructions burned: 15 (million)
% 0.66/0.47 % (1527352)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=1208812950:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.66/0.47 % (1527333)Refutation found. Thanks to Tanya!
% 0.66/0.47 % SZS status Theorem for theBenchmark
% 0.66/0.47 % SZS output start Proof for theBenchmark
% 0.66/0.47 thf(type_def_5, type, late_residual: $tType).
% 0.66/0.47 thf(type_def_6, type, late_subject: $tType).
% 0.66/0.47 thf(type_def_7, type, late_freeRes: $tType).
% 0.66/0.47 thf(type_def_8, type, product_prod: ($tType * $tType) > $tType).
% 0.66/0.47 thf(type_def_9, type, noption: $tType > $tType).
% 0.66/0.47 thf(type_def_10, type, name: $tType).
% 0.66/0.47 thf(type_def_11, type, pi: $tType).
% 0.66/0.47 thf(type_def_12, type, set: $tType > $tType).
% 0.66/0.47 thf(type_def_13, type, sTfun: ($tType * $tType) > $tType).
% 0.66/0.47 thf(func_def_0, type, fs_name: !>[X0: $tType]:($o)).
% 0.66/0.47 thf(func_def_1, type, bang: (pi > pi)).
% 0.66/0.47 thf(func_def_2, type, input: (name > name > pi > pi)).
% 0.66/0.47 thf(func_def_3, type, match: (name > name > pi > pi)).
% 0.66/0.47 thf(func_def_4, type, mismatch: (name > name > pi > pi)).
% 0.66/0.47 thf(func_def_5, type, output: (name > name > pi > pi)).
% 0.66/0.47 thf(func_def_6, type, par: (pi > pi > pi)).
% 0.66/0.47 thf(func_def_7, type, piNil: pi).
% 0.66/0.47 thf(func_def_8, type, res: (name > pi > pi)).
% 0.66/0.47 thf(func_def_9, type, sum: (pi > pi > pi)).
% 0.66/0.47 thf(func_def_10, type, tau: (pi > pi)).
% 0.66/0.47 thf(func_def_11, type, subs: (pi > name > name > pi)).
% 0.66/0.47 thf(func_def_12, type, subst_name: (name > name > name > name)).
% 0.66/0.47 thf(func_def_13, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.66/0.47 thf(func_def_14, type, late_OutputR: (name > name > late_freeRes)).
% 0.66/0.47 thf(func_def_15, type, late_TauR: late_freeRes).
% 0.66/0.47 thf(func_def_16, type, late_freeRes_rec: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 0.66/0.47 thf(func_def_17, type, late_BoundR: (late_subject > name > pi > late_residual)).
% 0.66/0.47 thf(func_def_18, type, late_FreeR: (late_freeRes > pi > late_residual)).
% 0.66/0.47 thf(func_def_19, type, late_BoundOutputS: (name > late_subject)).
% 0.66/0.47 thf(func_def_20, type, late_InputS: (name > late_subject)).
% 0.66/0.47 thf(func_def_21, type, late_subject_rec: !>[X0: $tType]:(((name > X0) > (name > X0) > late_subject > X0))).
% 0.66/0.47 thf(func_def_22, type, late_transitions: (pi > late_residual > $o)).
% 0.66/0.47 thf(func_def_23, type, abs_fun: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > noption @ X1))).
% 0.66/0.47 thf(func_def_24, type, fresh: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 0.66/0.47 thf(func_def_25, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.66/0.47 thf(func_def_26, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.66/0.47 thf(func_def_27, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.66/0.47 thf(func_def_28, type, eqvt: !>[X0: $tType]:((set @ product_prod @ X0 @ X0 > $o))).
% 0.66/0.47 thf(func_def_29, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.66/0.47 thf(func_def_30, type, strong2129052853vative: (pi > pi > late_subject > name > set @ product_prod @ pi @ pi > $o)).
% 0.66/0.47 thf(func_def_31, type, strong743114133lation: (pi > set @ product_prod @ pi @ pi > pi > $o)).
% 0.66/0.47 thf(func_def_32, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.66/0.47 thf(func_def_33, type, p: pi).
% 0.66/0.47 thf(func_def_34, type, pqr: pi).
% 0.66/0.47 thf(func_def_35, type, p2: pi).
% 0.66/0.47 thf(func_def_36, type, q: pi).
% 0.66/0.47 thf(func_def_37, type, qr: pi).
% 0.66/0.47 thf(func_def_38, type, q2: pi).
% 0.66/0.47 thf(func_def_39, type, r: pi).
% 0.66/0.47 thf(func_def_40, type, rel: set @ product_prod @ pi @ pi).
% 0.66/0.47 thf(func_def_41, type, alpha: late_freeRes).
% 0.66/0.47 thf(func_def_42, type, a: name).
% 0.66/0.47 thf(func_def_43, type, x: name).
% 0.66/0.47 thf(func_def_44, type, y: name).
% 0.66/0.47 thf(func_def_48, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.66/0.47 thf(func_def_49, type, vAND: ($o > $o > $o)).
% 0.66/0.47 thf(func_def_50, type, db2: !>[X0: $tType]:(X0)).
% 0.66/0.47 thf(func_def_51, type, db1: !>[X0: $tType]:(X0)).
% 0.66/0.47 thf(func_def_52, type, db0: !>[X0: $tType]:(X0)).
% 0.66/0.47 thf(func_def_53, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.66/0.47 thf(func_def_54, type, vOR: ($o > $o > $o)).
% 0.66/0.47 thf(func_def_55, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.66/0.47 thf(func_def_56, type, vIMP: ($o > $o > $o)).
% 0.66/0.47 thf(func_def_57, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.66/0.47 thf(func_def_58, type, db5: !>[X0: $tType]:(X0)).
% 0.66/0.47 thf(func_def_59, type, db4: !>[X0: $tType]:(X0)).
% 0.66/0.47 thf(func_def_60, type, db3: !>[X0: $tType]:(X0)).
% 0.66/0.47 thf(func_def_61, type, db6: !>[X0: $tType]:(X0)).
% 0.66/0.47 thf(func_def_62, type, vNOT: ($o > $o)).
% 0.66/0.47 thf(func_def_63, type, sP0: (late_subject > name > pi > pi > pi > $o)).
% 0.66/0.47 thf(func_def_64, type, sK1: (late_subject > pi > pi > (pi > $o) > name > pi)).
% 0.66/0.47 thf(func_def_65, type, sK2: (late_subject > pi > pi > (pi > $o) > name > pi)).
% 0.66/0.47 thf(func_def_66, type, sK3: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X0))).
% 0.66/0.47 thf(func_def_67, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X1))).
% 0.66/0.47 thf(func_def_68, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X0 @ X1 > X2))).
% 0.66/0.47 thf(func_def_69, type, sK6: (late_subject > name > pi > pi > pi > late_subject)).
% 0.66/0.47 thf(func_def_70, type, sK7: (late_subject > name > pi > pi > pi > name)).
% 0.66/0.47 thf(func_def_71, type, sK8: (late_subject > name > pi > pi > pi > pi)).
% 0.66/0.47 thf(func_def_72, type, sK9: (late_subject > name > pi > pi > pi > pi)).
% 0.66/0.47 thf(func_def_73, type, sK10: (late_subject > name > pi > pi > pi > pi)).
% 0.66/0.47 thf(func_def_74, type, sK11: (pi > pi > late_subject > name > pi > pi)).
% 0.66/0.47 thf(func_def_75, type, sK12: (pi > pi > late_subject > name > pi > pi)).
% 0.66/0.47 thf(func_def_76, type, sK13: (pi > pi > late_subject > name > pi > pi)).
% 0.66/0.47 thf(func_def_77, type, sK14: (pi > pi > late_subject > name > pi > name)).
% 0.66/0.47 thf(func_def_78, type, sK15: (pi > pi > late_subject > name > pi > late_subject)).
% 0.66/0.47 thf(func_def_79, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ X4 > X5))).
% 0.66/0.47 thf(func_def_80, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ X4 > X2))).
% 0.66/0.47 thf(func_def_81, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ X4 > X3))).
% 0.66/0.47 thf(func_def_82, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ X4 > X1))).
% 0.66/0.47 thf(func_def_83, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ X4 > X4))).
% 0.66/0.47 thf(func_def_84, type, sK21: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X1 @ X4 > X0))).
% 0.66/0.47 thf(func_def_85, type, sK22: (late_freeRes > name > (pi > $o) > pi > pi)).
% 0.66/0.47 thf(func_def_86, type, sK23: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X1))).
% 0.66/0.47 thf(func_def_87, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X4))).
% 0.66/0.47 thf(func_def_88, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X2))).
% 0.66/0.47 thf(func_def_89, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X3))).
% 0.66/0.47 thf(func_def_90, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ product_prod @ X4 @ X2 > $o) > X0))).
% 0.66/0.47 thf(func_def_91, type, sK28: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.66/0.47 thf(func_def_92, type, sK29: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.66/0.47 thf(func_def_93, type, sK30: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.66/0.47 thf(func_def_94, type, sK31: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.66/0.47 thf(func_def_95, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ X2 > X4))).
% 0.66/0.47 thf(func_def_96, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ X2 > X0))).
% 0.66/0.47 thf(func_def_97, type, sK34: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ X2 > X1))).
% 0.66/0.47 thf(func_def_98, type, sK35: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ X2 > X3))).
% 0.66/0.47 thf(func_def_99, type, sK36: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ X2 > X2))).
% 0.66/0.47 thf(func_def_100, type, sK37: (name > pi > name > late_residual > pi)).
% 0.66/0.47 thf(func_def_101, type, sK38: (name > pi > name > late_residual > name)).
% 0.66/0.47 thf(func_def_102, type, sK39: (name > pi > name > late_residual > name)).
% 0.66/0.47 thf(func_def_103, type, sK40: (pi > late_residual > pi)).
% 0.66/0.47 thf(func_def_104, type, sK41: (set @ product_prod @ pi @ pi > pi > late_freeRes > pi > pi)).
% 0.66/0.47 thf(func_def_105, type, sK42: (set @ product_prod @ pi @ pi > pi)).
% 0.66/0.47 thf(func_def_106, type, sK43: (late_freeRes > name)).
% 0.66/0.47 thf(func_def_107, type, sK44: (late_freeRes > name)).
% 0.66/0.47 thf(func_def_108, type, sK45: ((late_freeRes > $o) > name)).
% 0.66/0.47 thf(func_def_109, type, sK46: ((late_freeRes > $o) > name)).
% 0.66/0.47 thf(func_def_110, type, sK47: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.66/0.47 thf(func_def_111, type, sK48: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.66/0.47 thf(func_def_112, type, sK49: (set @ product_prod @ pi @ pi > name)).
% 0.66/0.47 thf(func_def_113, type, sK50: (set @ product_prod @ pi @ pi > pi)).
% 0.66/0.47 thf(func_def_114, type, sK51: (set @ product_prod @ pi @ pi > pi)).
% 0.66/0.47 thf(func_def_115, type, sK52: (set @ product_prod @ pi @ pi > pi)).
% 0.66/0.47 thf(func_def_116, type, sK53: (set @ product_prod @ pi @ pi > pi)).
% 0.66/0.47 thf(func_def_117, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X1))).
% 0.66/0.47 thf(func_def_118, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X3))).
% 0.66/0.47 thf(func_def_119, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X0))).
% 0.66/0.47 thf(func_def_120, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X0 @ X1 > $o) > X2))).
% 0.66/0.47 thf(func_def_121, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ X6 > $o) > X3))).
% 0.66/0.47 thf(func_def_122, type, sK59: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ X6 > $o) > X2))).
% 0.66/0.47 thf(func_def_123, type, sK60: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ X6 > $o) > X1))).
% 0.66/0.47 thf(func_def_124, type, sK61: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ X6 > $o) > X6))).
% 0.66/0.47 thf(func_def_125, type, sK62: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ X6 > $o) > X0))).
% 0.66/0.47 thf(func_def_126, type, sK63: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ X6 > $o) > X4))).
% 0.66/0.47 thf(func_def_127, type, sK64: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X2 @ product_prod @ X3 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ X6 > $o) > X5))).
% 0.66/0.47 thf(func_def_128, type, sK65: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X2))).
% 0.66/0.47 thf(func_def_129, type, sK66: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X1))).
% 0.66/0.47 thf(func_def_130, type, sK67: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ X1 > $o) > X0))).
% 0.66/0.47 thf(func_def_131, type, sK68: (set @ product_prod @ pi @ pi > pi)).
% 0.66/0.47 thf(func_def_132, type, sK69: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ X2 > X4))).
% 0.66/0.47 thf(func_def_133, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ X2 > X5))).
% 0.66/0.47 thf(func_def_134, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ X2 > X3))).
% 0.66/0.47 thf(func_def_135, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ X2 > X2))).
% 0.66/0.47 thf(func_def_136, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ X2 > X0))).
% 0.66/0.47 thf(func_def_137, type, sK74: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ X2 > X1))).
% 0.66/0.47 thf(func_def_138, type, sK75: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X1 @ product_prod @ X0 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X6 @ X2 > X6))).
% 0.66/0.47 thf(func_def_139, type, sK76: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 0.66/0.47 thf(func_def_140, type, sK77: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X3))).
% 0.66/0.47 thf(func_def_141, type, sK78: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 0.66/0.47 thf(func_def_142, type, sK79: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 0.66/0.47 thf(func_def_143, type, sK80: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.66/0.47 thf(func_def_144, type, sK81: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.66/0.47 thf(func_def_145, type, sK82: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.66/0.47 thf(func_def_146, type, sK83: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.66/0.47 thf(func_def_147, type, sK84: (pi > pi > name > late_freeRes > name)).
% 0.66/0.47 thf(func_def_148, type, sK85: (pi > pi > name > late_freeRes > pi)).
% 0.66/0.47 thf(func_def_149, type, sK86: (pi > pi > name > late_freeRes > pi)).
% 0.66/0.47 thf(func_def_150, type, sK87: (pi > pi > name > late_freeRes > late_freeRes)).
% 0.66/0.47 thf(func_def_151, type, sK88: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.66/0.47 thf(func_def_152, type, sK89: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.66/0.47 thf(func_def_153, type, sK90: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X5 > $o) > X5))).
% 0.66/0.47 thf(func_def_154, type, sK91: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X5 > $o) > X1))).
% 0.66/0.47 thf(func_def_155, type, sK92: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X5 > $o) > X2))).
% 0.66/0.47 thf(func_def_156, type, sK93: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X5 > $o) > X4))).
% 0.66/0.47 thf(func_def_157, type, sK94: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X5 > $o) > X0))).
% 0.66/0.47 thf(func_def_158, type, sK95: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X1 @ product_prod @ X2 @ product_prod @ X0 @ product_prod @ X3 @ product_prod @ X4 @ X5 > $o) > X3))).
% 0.66/0.47 thf(func_def_159, type, sK96: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.66/0.47 thf(func_def_160, type, sK97: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.66/0.47 thf(func_def_161, type, sK98: ((late_residual > $o) > late_subject)).
% 0.66/0.47 thf(func_def_162, type, sK99: ((late_residual > $o) > pi)).
% 0.66/0.47 thf(func_def_163, type, sK100: ((late_residual > $o) > name)).
% 0.66/0.47 thf(func_def_164, type, sK101: ((late_residual > $o) > pi)).
% 0.66/0.47 thf(func_def_165, type, sK102: ((late_residual > $o) > late_freeRes)).
% 0.66/0.47 thf(func_def_166, type, sK103: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.66/0.47 thf(func_def_167, type, sK104: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.66/0.47 thf(f7,axiom,(
% 0.66/0.47 (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (par @ (res @ y @ (par @ p2 @ (subs @ q2 @ x @ y))) @ r) @ (res @ y @ (par @ p2 @ (subs @ (par @ q2 @ r) @ x @ y)))) @ rel)),
% 0.66/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6__092_060open_062_I_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_M_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_A_IQ_H_A_092_060parallel_062_AR_J_091x_058_058_061y_093_J_J_A_092_060in_062_ARel_092_060close_062)).
% 0.66/0.47 thf(f8,axiom,(
% 0.66/0.47 (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (res @ y @ (par @ p2 @ (subs @ q2 @ x @ y))) @ r)))),
% 0.66/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7__092_060open_062_IP_A_092_060parallel_062_AQ_J_A_092_060parallel_062_AR_A_092_060longmapsto_062_A_092_060tau_062_A_092_060prec_062_A_060_092_060nu_062y_062_IP_H_A_092_060parallel_062_AQ_H_091x_058_058_061y_093_J_A_092_060parallel_062_AR_092_060close_062)).
% 0.66/0.47 thf(f267,conjecture,(
% 0.66/0.47 ? [X0 : pi] : ((member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ X0 @ (res @ y @ (par @ p2 @ (subs @ (par @ q2 @ r) @ x @ y)))) @ rel) & (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ X0)))),
% 0.66/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.66/0.47 thf(f268,negated_conjecture,(
% 0.66/0.47 ~ ? [X0 : pi] : ((member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ X0 @ (res @ y @ (par @ p2 @ (subs @ (par @ q2 @ r) @ x @ y)))) @ rel) & (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ X0)))),
% 0.66/0.47 inference(negated_conjecture,[status(cth)],[f267])).
% 0.66/0.47 thf(f429,plain,(
% 0.66/0.47 (member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (par @ (res @ y @ (par @ p2 @ (subs @ q2 @ x @ y))) @ r) @ (res @ y @ (par @ p2 @ (subs @ (par @ q2 @ r) @ x @ y)))) @ rel)),
% 0.66/0.47 inference(rectify,[],[f7])).
% 0.66/0.47 thf(f430,plain,(
% 0.66/0.47 (((member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (par @ (res @ y @ (par @ p2 @ (subs @ q2 @ x @ y))) @ r) @ (res @ y @ (par @ p2 @ (subs @ (par @ q2 @ r) @ x @ y)))) @ rel)) = $true)),
% 0.66/0.47 inference(fool_elimination,[],[f429])).
% 0.66/0.47 thf(f431,plain,(
% 0.66/0.47 ~ ? [X0 : pi] : ((member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ X0 @ (res @ y @ (par @ p2 @ (subs @ (par @ q2 @ r) @ x @ y)))) @ rel) & (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ X0)))),
% 0.66/0.47 inference(rectify,[],[f268])).
% 0.66/0.47 thf(f432,plain,(
% 0.66/0.47 ~ ? [X0 : pi] : ((((member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ X0 @ (res @ y @ (par @ p2 @ (subs @ (par @ q2 @ r) @ x @ y)))) @ rel)) = $true) & (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ X0))) = $true))),
% 0.66/0.47 inference(fool_elimination,[],[f431])).
% 0.66/0.47 thf(f564,plain,(
% 0.66/0.47 (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (res @ y @ (par @ p2 @ (subs @ q2 @ x @ y))) @ r)))),
% 0.66/0.47 inference(rectify,[],[f8])).
% 0.66/0.47 thf(f565,plain,(
% 0.66/0.47 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (res @ y @ (par @ p2 @ (subs @ q2 @ x @ y))) @ r)))) = $true)),
% 0.66/0.47 inference(fool_elimination,[],[f564])).
% 0.66/0.47 thf(f716,plain,(
% 0.66/0.47 ! [X0 : pi] : ((((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ X0))) != $true) | (((member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ X0 @ (res @ y @ (par @ p2 @ (subs @ (par @ q2 @ r) @ x @ y)))) @ rel)) != $true))),
% 0.66/0.47 inference(ennf_transformation,[],[f432])).
% 0.66/0.47 thf(f933,plain,(
% 0.66/0.47 (((member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ (par @ (res @ y @ (par @ p2 @ (subs @ q2 @ x @ y))) @ r) @ (res @ y @ (par @ p2 @ (subs @ (par @ q2 @ r) @ x @ y)))) @ rel)) = $true)),
% 0.66/0.47 inference(cnf_transformation,[],[f430])).
% 0.66/0.47 thf(f951,plain,(
% 0.66/0.47 ( ! [X0 : pi] : ((((member @ product_prod @ pi @ pi @ (product_Pair @ pi @ pi @ X0 @ (res @ y @ (par @ p2 @ (subs @ (par @ q2 @ r) @ x @ y)))) @ rel)) != $true) | (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ X0))) != $true)) )),
% 0.66/0.47 inference(cnf_transformation,[],[f716])).
% 0.66/0.47 thf(f1001,plain,(
% 0.66/0.47 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (res @ y @ (par @ p2 @ (subs @ q2 @ x @ y))) @ r)))) = $true)),
% 0.66/0.47 inference(cnf_transformation,[],[f565])).
% 0.66/0.47 thf(f1056,plain,(
% 0.66/0.47 ($true != $true) | (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (res @ y @ (par @ p2 @ (subs @ q2 @ x @ y))) @ r)))) != $true)),
% 0.66/0.47 inference(superposition,[],[f951,f933])).
% 0.66/0.47 thf(f1062,plain,(
% 0.66/0.47 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (par @ (res @ y @ (par @ p2 @ (subs @ q2 @ x @ y))) @ r)))) != $true)),
% 0.66/0.47 inference(trivial_inequality_removal,[],[f1056])).
% 0.66/0.47 thf(f1064,plain,(
% 0.66/0.47 $false),
% 0.66/0.47 inference(forward_subsumption_resolution,[],[f1062,f1001])).
% 0.66/0.47 % SZS output end Proof for theBenchmark
% 0.66/0.47 % (1527333)------------------------------
% 0.66/0.47 % (1527333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.47 % (1527333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.47 % (1527333)CaDiCaL version: 2.1.3
% 0.66/0.47 % (1527333)Termination reason: Refutation
% 0.66/0.47 % (1527333)Time elapsed: 0.050 s
% 0.66/0.47 % (1527333)Peak memory usage: 15 MB
% 0.66/0.47 % (1527333)Instructions burned: 103 (million)
% 0.66/0.47 % (1527296)Success in time 0.184 s
% 0.66/0.47 % Vampire exiting
%------------------------------------------------------------------------------