%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP161^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 08:08:37 AM UTC 2026
% Result : Theorem 0.62s 0.45s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP161^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n020.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:04:49 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.24/0.27 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
% 0.62/0.41 % (1524214)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.62/0.41 % (1524219)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3915522227:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.62/0.41 % (1524225)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.62/0.41 % (1524225)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
% 0.62/0.41 % (1524221)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4162619366:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.62/0.41 % (1524222)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=2526948577: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)
% 0.62/0.41 % (1524223)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2747541500:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.62/0.41 % (1524224)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2343996918:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.62/0.41 % (1524225)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=3477925874:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.62/0.41 % (1524221)Instruction limit reached!
% 0.62/0.41 % (1524221)------------------------------
% 0.62/0.41 % (1524221)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (1524221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (1524221)CaDiCaL version: 2.1.3
% 0.62/0.41 % (1524221)Termination reason: Instruction limit
% 0.62/0.41 % (1524221)Termination phase: shuffling
% 0.62/0.41 % (1524221)Time elapsed: 0.003 s
% 0.62/0.41 % (1524221)Peak memory usage: 10 MB
% 0.62/0.41 % (1524221)Instructions burned: 5 (million)
% 0.62/0.41 % (1524220)lrs+10_16_si=on:nwc=1.5:random_seed=1352907759:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.62/0.41 % (1524223)Instruction limit reached!
% 0.62/0.41 % (1524223)------------------------------
% 0.62/0.41 % (1524223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (1524223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (1524223)CaDiCaL version: 2.1.3
% 0.62/0.41 % (1524223)Termination reason: Instruction limit
% 0.62/0.41 % (1524223)Termination phase: Property scanning
% 0.62/0.41 % (1524223)Time elapsed: 0.012 s
% 0.62/0.41 % (1524223)Peak memory usage: 10 MB
% 0.62/0.41 % (1524223)Instructions burned: 25 (million)
% 0.62/0.41 % (1524219)Instruction limit reached!
% 0.62/0.41 % (1524219)------------------------------
% 0.62/0.41 % (1524219)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (1524219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (1524219)CaDiCaL version: 2.1.3
% 0.62/0.41 % (1524219)Termination reason: Instruction limit
% 0.62/0.41 % (1524219)Termination phase: Function definition elimination
% 0.62/0.41 % (1524219)Time elapsed: 0.023 s
% 0.62/0.41 % (1524219)Peak memory usage: 12 MB
% 0.62/0.41 % (1524219)Instructions burned: 87 (million)
% 0.62/0.41 % (1524220)Instruction limit reached!
% 0.62/0.41 % (1524220)------------------------------
% 0.62/0.41 % (1524220)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.41 % (1524220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.41 % (1524220)CaDiCaL version: 2.1.3
% 0.62/0.41 % (1524220)Termination reason: Instruction limit
% 0.62/0.41 % (1524220)Termination phase: shuffling
% 0.62/0.41 % (1524220)Time elapsed: 0.016 s
% 0.62/0.41 % (1524220)Peak memory usage: 10 MB
% 0.62/0.41 % (1524220)Instructions burned: 18 (million)
% 0.62/0.41 % (1524233)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3621202227:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.41 % (1524235)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.45 % (1524233)Instruction limit reached!
% 0.62/0.45 % (1524233)------------------------------
% 0.62/0.45 % (1524233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524233)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524233)Termination reason: Instruction limit
% 0.62/0.45 % (1524233)Termination phase: shuffling
% 0.62/0.45 % (1524233)Time elapsed: 0.002 s
% 0.62/0.45 % (1524233)Peak memory usage: 10 MB
% 0.62/0.45 % (1524233)Instructions burned: 3 (million)
% 0.62/0.45 % (1524235)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3406566778:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.62/0.45 % (1524235)Instruction limit reached!
% 0.62/0.45 % (1524235)------------------------------
% 0.62/0.45 % (1524235)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524235)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524235)Termination reason: Instruction limit
% 0.62/0.45 % (1524235)Termination phase: shuffling
% 0.62/0.45 % (1524235)Time elapsed: 0.002 s
% 0.62/0.45 % (1524235)Peak memory usage: 10 MB
% 0.62/0.45 % (1524235)Instructions burned: 9 (million)
% 0.62/0.45 % (1524234)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2581273476:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.62/0.45 % (1524234)Instruction limit reached!
% 0.62/0.45 % (1524234)------------------------------
% 0.62/0.45 % (1524234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524234)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524234)Termination reason: Instruction limit
% 0.62/0.45 % (1524234)Termination phase: shuffling
% 0.62/0.45 % (1524234)Time elapsed: 0.003 s
% 0.62/0.45 % (1524234)Peak memory usage: 10 MB
% 0.62/0.45 % (1524234)Instructions burned: 6 (million)
% 0.62/0.45 % (1524224)Instruction limit reached!
% 0.62/0.45 % (1524224)------------------------------
% 0.62/0.45 % (1524224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524224)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524224)Termination reason: Instruction limit
% 0.62/0.45 % (1524224)Termination phase: Property scanning
% 0.62/0.45 % (1524224)Time elapsed: 0.038 s
% 0.62/0.45 % (1524224)Peak memory usage: 12 MB
% 0.62/0.45 % (1524224)Instructions burned: 76 (million)
% 0.62/0.45 % (1524240)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=3290341412:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.62/0.45 % (1524238)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
% 0.62/0.45 % (1524238)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.62/0.45 % (1524238)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3125828645:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.62/0.45 % (1524236)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3882928639:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.62/0.45 % (1524243)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.62/0.45 % (1524242)lrs+10_1_si=on:cs=on:random_seed=2078983525:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.62/0.45 % (1524238)Instruction limit reached!
% 0.62/0.45 % (1524238)------------------------------
% 0.62/0.45 % (1524238)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524238)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524238)Termination reason: Instruction limit
% 0.62/0.45 % (1524238)Termination phase: shuffling
% 0.62/0.45 % (1524238)Time elapsed: 0.014 s
% 0.62/0.45 % (1524238)Peak memory usage: 10 MB
% 0.62/0.45 % (1524238)Instructions burned: 29 (million)
% 0.62/0.45 % (1524243)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=2068661778:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.62/0.45 % (1524243)Instruction limit reached!
% 0.62/0.45 % (1524243)------------------------------
% 0.62/0.45 % (1524243)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524243)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524243)Termination reason: Instruction limit
% 0.62/0.45 % (1524243)Termination phase: shuffling
% 0.62/0.45 % (1524243)Time elapsed: 0.002 s
% 0.62/0.45 % (1524243)Peak memory usage: 10 MB
% 0.62/0.45 % (1524243)Instructions burned: 3 (million)
% 0.62/0.45 % (1524240)Instruction limit reached!
% 0.62/0.45 % (1524240)------------------------------
% 0.62/0.45 % (1524240)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524240)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524240)Termination reason: Instruction limit
% 0.62/0.45 % (1524240)Termination phase: Preprocessing 3
% 0.62/0.45 % (1524240)Time elapsed: 0.021 s
% 0.62/0.45 % (1524240)Peak memory usage: 11 MB
% 0.62/0.45 % (1524240)Instructions burned: 89 (million)
% 0.62/0.45 % (1524242)Instruction limit reached!
% 0.62/0.45 % (1524242)------------------------------
% 0.62/0.45 % (1524242)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524242)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524242)Termination reason: Instruction limit
% 0.62/0.45 % (1524242)Termination phase: shuffling
% 0.62/0.45 % (1524242)Time elapsed: 0.005 s
% 0.62/0.45 % (1524242)Peak memory usage: 10 MB
% 0.62/0.45 % (1524242)Instructions burned: 9 (million)
% 0.62/0.45 % (1524236)Instruction limit reached!
% 0.62/0.45 % (1524236)------------------------------
% 0.62/0.45 % (1524236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524236)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524236)Termination reason: Instruction limit
% 0.62/0.45 % (1524236)Termination phase: shuffling
% 0.62/0.45 % (1524236)Time elapsed: 0.012 s
% 0.62/0.45 % (1524236)Peak memory usage: 10 MB
% 0.62/0.45 % (1524236)Instructions burned: 13 (million)
% 0.62/0.45 % (1524251)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1488608188:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.62/0.45 % (1524249)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=462678898:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.62/0.45 % (1524251)Instruction limit reached!
% 0.62/0.45 % (1524251)------------------------------
% 0.62/0.45 % (1524251)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524251)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524251)Termination reason: Instruction limit
% 0.62/0.45 % (1524251)Termination phase: Property scanning
% 0.62/0.45 % (1524251)Time elapsed: 0.006 s
% 0.62/0.45 % (1524251)Peak memory usage: 10 MB
% 0.62/0.45 % (1524251)Instructions burned: 26 (million)
% 0.62/0.45 % (1524225)Instruction limit reached!
% 0.62/0.45 % (1524225)------------------------------
% 0.62/0.45 % (1524225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524225)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524225)Termination reason: Instruction limit
% 0.62/0.45 % (1524225)Termination phase: Saturation
% 0.62/0.45 % (1524225)Time elapsed: 0.081 s
% 0.62/0.45 % (1524225)Peak memory usage: 14 MB
% 0.62/0.45 % (1524225)Instructions burned: 158 (million)
% 0.62/0.45 % (1524250)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1219930865:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.62/0.45 % (1524252)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3590208825:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.62/0.45 % (1524253)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1388922113:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.62/0.45 % (1524256)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=290928077:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.62/0.45 % (1524252)Instruction limit reached!
% 0.62/0.45 % (1524252)------------------------------
% 0.62/0.45 % (1524252)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524252)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524252)Termination reason: Instruction limit
% 0.62/0.45 % (1524252)Termination phase: shuffling
% 0.62/0.45 % (1524252)Time elapsed: 0.008 s
% 0.62/0.45 % (1524252)Peak memory usage: 10 MB
% 0.62/0.45 % (1524252)Instructions burned: 16 (million)
% 0.62/0.45 % (1524256)Instruction limit reached!
% 0.62/0.45 % (1524256)------------------------------
% 0.62/0.45 % (1524256)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524256)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524256)Termination reason: Instruction limit
% 0.62/0.45 % (1524256)Termination phase: shuffling
% 0.62/0.45 % (1524256)Time elapsed: 0.004 s
% 0.62/0.45 % (1524256)Peak memory usage: 10 MB
% 0.62/0.45 % (1524256)Instructions burned: 15 (million)
% 0.62/0.45 % (1524249)Instruction limit reached!
% 0.62/0.45 % (1524249)------------------------------
% 0.62/0.45 % (1524249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524249)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524249)Termination reason: Instruction limit
% 0.62/0.45 % (1524249)Termination phase: Preprocessing 3
% 0.62/0.45 % (1524249)Time elapsed: 0.019 s
% 0.62/0.45 % (1524249)Peak memory usage: 11 MB
% 0.62/0.45 % (1524249)Instructions burned: 39 (million)
% 0.62/0.45 % (1524258)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=825151884: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)
% 0.62/0.45 % (1524258)Instruction limit reached!
% 0.62/0.45 % (1524258)------------------------------
% 0.62/0.45 % (1524258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524258)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524258)Termination reason: Instruction limit
% 0.62/0.45 % (1524258)Termination phase: shuffling
% 0.62/0.45 % (1524258)Time elapsed: 0.003 s
% 0.62/0.45 % (1524258)Peak memory usage: 10 MB
% 0.62/0.45 % (1524258)Instructions burned: 5 (million)
% 0.62/0.45 % (1524263)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=699180343:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.62/0.45 % (1524262)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3463644756:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.62/0.45 % (1524263)Instruction limit reached!
% 0.62/0.45 % (1524263)------------------------------
% 0.62/0.45 % (1524263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524263)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524263)Termination reason: Instruction limit
% 0.62/0.45 % (1524263)Termination phase: Property scanning
% 0.62/0.45 % (1524263)Time elapsed: 0.006 s
% 0.62/0.45 % (1524263)Peak memory usage: 10 MB
% 0.62/0.45 % (1524263)Instructions burned: 24 (million)
% 0.62/0.45 % (1524250) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1524214-1524250"...
% 0.62/0.45 % (1524250)...printing done.
% 0.62/0.45 % (1524264)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=2230382237:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.62/0.45 % (1524266)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
% 0.62/0.45 % (1524266)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.62/0.45 % (1524250)Refutation found. Thanks to Tanya!
% 0.62/0.45 % SZS status Theorem for theBenchmark
% 0.62/0.45 % SZS output start Proof for theBenchmark
% 0.62/0.45 thf(type_def_5, type, refine1665802226e_nres: $tType > $tType).
% 0.62/0.45 thf(type_def_6, type, product_unit: $tType).
% 0.62/0.45 thf(type_def_7, type, product_prod: ($tType * $tType) > $tType).
% 0.62/0.45 thf(type_def_8, type, set: $tType > $tType).
% 0.62/0.45 thf(type_def_9, type, b: $tType).
% 0.62/0.45 thf(type_def_10, type, a: $tType).
% 0.62/0.45 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.62/0.45 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_1, type, bot: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_2, type, ord: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_3, type, top: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_4, type, order: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_5, type, linorder: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_6, type, preorder: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_7, type, order_top: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_8, type, comple187826305attice: !>[X0: $tType]:($o)).
% 0.62/0.45 thf(func_def_9, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 0.62/0.45 thf(func_def_10, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.62/0.45 thf(func_def_11, type, fun_of_rel: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > X0 > X1))).
% 0.62/0.45 thf(func_def_12, type, uncurry: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.62/0.45 thf(func_def_13, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_14, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_15, type, antimono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 0.62/0.45 thf(func_def_16, type, mono: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > $o))).
% 0.62/0.45 thf(func_def_17, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.62/0.45 thf(func_def_18, type, top_top: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_19, type, partial_flat_ord: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_20, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.62/0.45 thf(func_def_21, type, product_curry: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ X1 > X2) > X0 > X1 > X2))).
% 0.62/0.45 thf(func_def_22, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.62/0.45 thf(func_def_23, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.62/0.45 thf(func_def_24, type, refine1814851989ASSERT: ($o > refine1665802226e_nres @ product_unit)).
% 0.62/0.45 thf(func_def_25, type, refine1687780735RETURN: !>[X0: $tType]:((X0 > refine1665802226e_nres @ X0))).
% 0.62/0.45 thf(func_def_26, type, refine81118332bs_fun: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > refine1665802226e_nres @ X0 > refine1665802226e_nres @ X1))).
% 0.62/0.45 thf(func_def_27, type, refine463715084e_bind: !>[X0: $tType, X1: $tType]:((refine1665802226e_nres @ X0 > (X0 > refine1665802226e_nres @ X1) > refine1665802226e_nres @ X1))).
% 0.62/0.45 thf(func_def_28, type, refine1073749519nc_fun: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > refine1665802226e_nres @ X1 > refine1665802226e_nres @ X0))).
% 0.62/0.45 thf(func_def_29, type, refine1315500908_inres: !>[X0: $tType]:((refine1665802226e_nres @ X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_30, type, refine1580981607t_assn: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > (X1 > $o) > X0 > $o))).
% 0.62/0.45 thf(func_def_31, type, refine406925620_inres: !>[X0: $tType]:((refine1665802226e_nres @ X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_32, type, refine1102455758nofail: !>[X0: $tType]:((refine1665802226e_nres @ X0 > $o))).
% 0.62/0.45 thf(func_def_33, type, refine1767639642_FAILi: !>[X0: $tType]:(refine1665802226e_nres @ X0)).
% 0.62/0.45 thf(func_def_34, type, refine605929679le_RES: !>[X0: $tType]:((set @ X0 > refine1665802226e_nres @ X0))).
% 0.62/0.45 thf(func_def_35, type, refine1442219249c_nres: !>[X0: $tType, X1: $tType]:((X0 > (set @ X1 > X0) > refine1665802226e_nres @ X1 > X0))).
% 0.62/0.45 thf(func_def_36, type, refine1672542526he_RES: !>[X0: $tType]:((refine1665802226e_nres @ X0 > set @ X0))).
% 0.62/0.45 thf(func_def_37, type, domain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X0))).
% 0.62/0.45 thf(func_def_38, type, image: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X1 > set @ X0 > set @ X1))).
% 0.62/0.45 thf(func_def_39, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.62/0.45 thf(func_def_40, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.62/0.45 thf(func_def_41, type, phi: (a > $o)).
% 0.62/0.45 thf(func_def_42, type, f: (a > refine1665802226e_nres @ b)).
% 0.62/0.45 thf(func_def_43, type, m: refine1665802226e_nres @ b).
% 0.62/0.45 thf(func_def_44, type, x: a).
% 0.62/0.45 thf(func_def_46, type, db1: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_47, type, db0: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_48, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.62/0.45 thf(func_def_49, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.62/0.45 thf(func_def_52, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.62/0.45 thf(func_def_53, type, vIMP: ($o > $o > $o)).
% 0.62/0.45 thf(func_def_54, type, db2: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_55, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.62/0.45 thf(func_def_56, type, vAND: ($o > $o > $o)).
% 0.62/0.45 thf(func_def_57, type, db3: !>[X0: $tType]:(X0)).
% 0.62/0.45 thf(func_def_58, type, vNOT: ($o > $o)).
% 0.62/0.45 thf(func_def_59, type, sK0: !>[X0: $tType]:((refine1665802226e_nres @ X0 > set @ X0))).
% 0.62/0.45 thf(func_def_60, type, sK1: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.62/0.45 thf(func_def_61, type, sK2: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.62/0.45 thf(func_def_62, type, sK3: !>[X0: $tType, X1: $tType]:((refine1665802226e_nres @ X0 > (X0 > refine1665802226e_nres @ X1) > (X0 > refine1665802226e_nres @ X1) > X0))).
% 0.62/0.45 thf(func_def_63, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType]:(((X1 > $o) > (X0 > refine1665802226e_nres @ X1) > refine1665802226e_nres @ X0 > (X0 > refine1665802226e_nres @ X2) > (X2 > $o) > X0))).
% 0.62/0.45 thf(func_def_64, type, sK5: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.62/0.45 thf(func_def_65, type, sK6: !>[X0: $tType, X1: $tType]:(((X1 > refine1665802226e_nres @ X0) > (X1 > refine1665802226e_nres @ X0) > X1))).
% 0.62/0.45 thf(func_def_66, type, sK7: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((set @ product_prod @ X1 @ X2 > set @ product_prod @ X3 @ X0 > X3 > (X0 > refine1665802226e_nres @ X2) > refine1665802226e_nres @ X1 > X0))).
% 0.62/0.45 thf(func_def_67, type, sK8: !>[X0: $tType, X1: $tType]:((set @ X0 > set @ X1 > set @ product_prod @ X1 @ X0 > X1))).
% 0.62/0.45 thf(func_def_68, type, sK9: !>[X0: $tType, X1: $tType]:(((X0 > refine1665802226e_nres @ X1) > refine1665802226e_nres @ X0 > (X0 > refine1665802226e_nres @ X1) > X0))).
% 0.62/0.45 thf(func_def_69, type, sK10: !>[X0: $tType]:(((X0 > $o) > set @ X0 > X0))).
% 0.62/0.45 thf(func_def_70, type, sK11: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.62/0.45 thf(func_def_71, type, sK12: !>[X0: $tType, X1: $tType]:((refine1665802226e_nres @ X0 > (X1 > refine1665802226e_nres @ X0) > refine1665802226e_nres @ X1 > X1))).
% 0.62/0.45 thf(func_def_72, type, sK13: !>[X0: $tType, X1: $tType]:((X1 > set @ product_prod @ X1 @ X0 > (X0 > $o) > X0))).
% 0.62/0.45 thf(func_def_73, type, sK14: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.62/0.45 thf(f1,axiom,(
% 0.62/0.45 (phi @ x)),
% 0.62/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms_I1_J)).
% 0.62/0.45 thf(f2,axiom,(
% 0.62/0.45 (ord_less_eq @ refine1665802226e_nres @ b @ m @ (f @ x))),
% 0.62/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_assms_I2_J)).
% 0.62/0.45 thf(f11,axiom,(
% 0.62/0.45 ! [X1 : $tType,X0 : $tType,X3 : set @ X1,X2 : X1,X5 : (X1 > refine1665802226e_nres @ X0),X4 : refine1665802226e_nres @ X0] : ((member @ X1 @ X2 @ X3) => ((ord_less_eq @ refine1665802226e_nres @ X0 @ X4 @ (X5 @ X2)) => (ord_less_eq @ refine1665802226e_nres @ X0 @ X4 @ (refine463715084e_bind @ X1 @ X0 @ (refine605929679le_RES @ X1 @ X3) @ X5))))),
% 0.62/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10_RES__bind__choose)).
% 0.62/0.45 thf(f44,axiom,(
% 0.62/0.45 ! [X0 : $tType,X1 : X0,X2 : (X0 > $o)] : (((member @ X0 @ X1 @ (collect @ X0 @ X2))) = ((X2 @ X1)))),
% 0.62/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_mem__Collect__eq)).
% 0.62/0.45 thf(f291,conjecture,(
% 0.62/0.45 (ord_less_eq @ refine1665802226e_nres @ b @ m @ (refine463715084e_bind @ a @ b @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ f))),
% 0.62/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.62/0.45 thf(f292,negated_conjecture,(
% 0.62/0.45 ~(ord_less_eq @ refine1665802226e_nres @ b @ m @ (refine463715084e_bind @ a @ b @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ f))),
% 0.62/0.45 inference(negated_conjecture,[status(cth)],[f291])).
% 0.62/0.45 thf(f366,plain,(
% 0.62/0.45 (ord_less_eq @ refine1665802226e_nres @ b @ m @ (f @ x))),
% 0.62/0.45 inference(rectify,[],[f2])).
% 0.62/0.45 thf(f367,plain,(
% 0.62/0.45 (((ord_less_eq @ refine1665802226e_nres @ b @ m @ (f @ x))) = $true)),
% 0.62/0.45 inference(fool_elimination,[],[f366])).
% 0.62/0.45 thf(f378,plain,(
% 0.62/0.45 ~(ord_less_eq @ refine1665802226e_nres @ b @ m @ (refine463715084e_bind @ a @ b @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ f))),
% 0.62/0.45 inference(rectify,[],[f292])).
% 0.62/0.45 thf(f379,plain,(
% 0.62/0.45 ~ (((ord_less_eq @ refine1665802226e_nres @ b @ m @ (refine463715084e_bind @ a @ b @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ f))) = $true)),
% 0.62/0.45 inference(fool_elimination,[],[f378])).
% 0.62/0.45 thf(f449,plain,(
% 0.62/0.45 ! [X0 : $tType,X1 : $tType,X2 : set @ X0,X3 : X0,X4 : (X0 > refine1665802226e_nres @ X1),X5 : refine1665802226e_nres @ X1] : ((member @ X0 @ X3 @ X2) => ((ord_less_eq @ refine1665802226e_nres @ X1 @ X5 @ (X4 @ X3)) => (ord_less_eq @ refine1665802226e_nres @ X1 @ X5 @ (refine463715084e_bind @ X0 @ X1 @ (refine605929679le_RES @ X0 @ X2) @ X4))))),
% 0.62/0.45 inference(rectify,[],[f11])).
% 0.62/0.45 thf(f450,plain,(
% 0.62/0.45 ! [X0 : $tType,X1 : $tType,X5 : refine1665802226e_nres @ X1,X3 : X0,X2 : set @ X0,X4 : (X0 > refine1665802226e_nres @ X1)] : ((((member @ X0 @ X3 @ X2)) = $true) => (($true = ((ord_less_eq @ refine1665802226e_nres @ X1 @ X5 @ (X4 @ X3)))) => ($true = ((ord_less_eq @ refine1665802226e_nres @ X1 @ X5 @ (refine463715084e_bind @ X0 @ X1 @ (refine605929679le_RES @ X0 @ X2) @ X4))))))),
% 0.62/0.45 inference(fool_elimination,[],[f449])).
% 0.62/0.45 thf(f485,plain,(
% 0.62/0.45 (phi @ x)),
% 0.62/0.45 inference(rectify,[],[f1])).
% 0.62/0.45 thf(f486,plain,(
% 0.62/0.45 (((phi @ x)) = $true)),
% 0.62/0.45 inference(fool_elimination,[],[f485])).
% 0.62/0.45 thf(f771,plain,(
% 0.62/0.45 (((ord_less_eq @ refine1665802226e_nres @ b @ m @ (refine463715084e_bind @ a @ b @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ f))) != $true)),
% 0.62/0.45 inference(flattening,[],[f379])).
% 0.62/0.45 thf(f796,plain,(
% 0.62/0.45 ! [X0 : $tType,X1 : $tType,X5 : refine1665802226e_nres @ X1,X3 : X0,X2 : set @ X0,X4 : (X0 > refine1665802226e_nres @ X1)] : ((($true = ((ord_less_eq @ refine1665802226e_nres @ X1 @ X5 @ (refine463715084e_bind @ X0 @ X1 @ (refine605929679le_RES @ X0 @ X2) @ X4)))) | ($true != ((ord_less_eq @ refine1665802226e_nres @ X1 @ X5 @ (X4 @ X3))))) | (((member @ X0 @ X3 @ X2)) != $true))),
% 0.62/0.45 inference(ennf_transformation,[],[f450])).
% 0.62/0.45 thf(f797,plain,(
% 0.62/0.45 ! [X0 : $tType,X1 : $tType,X5 : refine1665802226e_nres @ X1,X4 : (X0 > refine1665802226e_nres @ X1),X3 : X0,X2 : set @ X0] : ((((member @ X0 @ X3 @ X2)) != $true) | ($true != ((ord_less_eq @ refine1665802226e_nres @ X1 @ X5 @ (X4 @ X3)))) | ($true = ((ord_less_eq @ refine1665802226e_nres @ X1 @ X5 @ (refine463715084e_bind @ X0 @ X1 @ (refine605929679le_RES @ X0 @ X2) @ X4)))))),
% 0.62/0.45 inference(flattening,[],[f796])).
% 0.62/0.45 thf(f830,plain,(
% 0.62/0.45 ! [X0 : $tType,X1 : $tType,X2 : refine1665802226e_nres @ X1,X3 : (X0 > refine1665802226e_nres @ X1),X4 : X0,X5 : set @ X0] : (($true != ((member @ X0 @ X4 @ X5))) | ($true != ((ord_less_eq @ refine1665802226e_nres @ X1 @ X2 @ (X3 @ X4)))) | ($true = ((ord_less_eq @ refine1665802226e_nres @ X1 @ X2 @ (refine463715084e_bind @ X0 @ X1 @ (refine605929679le_RES @ X0 @ X5) @ X3)))))),
% 0.62/0.45 inference(rectify,[],[f797])).
% 0.62/0.45 thf(f875,plain,(
% 0.62/0.45 ( ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : ((((member @ X0 @ X1 @ (collect @ X0 @ X2))) = ((X2 @ X1)))) )),
% 0.62/0.45 inference(cnf_transformation,[],[f44])).
% 0.62/0.45 thf(f882,plain,(
% 0.62/0.45 (((ord_less_eq @ refine1665802226e_nres @ b @ m @ (refine463715084e_bind @ a @ b @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ f))) != $true)),
% 0.62/0.45 inference(cnf_transformation,[],[f771])).
% 0.62/0.45 thf(f883,plain,(
% 0.62/0.45 (((phi @ x)) = $true)),
% 0.62/0.45 inference(cnf_transformation,[],[f486])).
% 0.62/0.45 thf(f884,plain,(
% 0.62/0.45 ( ! [X1 : $tType,X0 : $tType,X2 : refine1665802226e_nres @ X1,X3 : (X0 > refine1665802226e_nres @ X1),X4 : X0,X5 : set @ X0] : (($true = ((ord_less_eq @ refine1665802226e_nres @ X1 @ X2 @ (refine463715084e_bind @ X0 @ X1 @ (refine605929679le_RES @ X0 @ X5) @ X3)))) | ($true != ((member @ X0 @ X4 @ X5))) | ($true != ((ord_less_eq @ refine1665802226e_nres @ X1 @ X2 @ (X3 @ X4))))) )),
% 0.62/0.45 inference(cnf_transformation,[],[f830])).
% 0.62/0.45 thf(f931,plain,(
% 0.62/0.45 (((ord_less_eq @ refine1665802226e_nres @ b @ m @ (f @ x))) = $true)),
% 0.62/0.45 inference(cnf_transformation,[],[f367])).
% 0.62/0.45 thf(f952,plain,(
% 0.62/0.45 ( ! [X0 : a] : (($true != ((ord_less_eq @ refine1665802226e_nres @ b @ m @ (f @ X0)))) | ($true != $true) | ($true != ((member @ a @ X0 @ (collect @ a @ phi))))) )),
% 0.62/0.45 inference(superposition,[],[f882,f884])).
% 0.62/0.45 thf(f954,plain,(
% 0.62/0.45 ( ! [X0 : a] : (($true != ((member @ a @ X0 @ (collect @ a @ phi)))) | ($true != ((ord_less_eq @ refine1665802226e_nres @ b @ m @ (f @ X0))))) )),
% 0.62/0.45 inference(trivial_inequality_removal,[],[f952])).
% 0.62/0.45 thf(f960,plain,(
% 0.62/0.45 ( ! [X0 : a] : (($true != ((ord_less_eq @ refine1665802226e_nres @ b @ m @ (f @ X0)))) | ($true != ((phi @ X0)))) )),
% 0.62/0.45 inference(forward_demodulation,[],[f954,f875])).
% 0.62/0.45 thf(f961,plain,(
% 0.62/0.45 (((phi @ x)) != $true) | ($true != $true)),
% 0.62/0.45 inference(superposition,[],[f960,f931])).
% 0.62/0.45 thf(f964,plain,(
% 0.62/0.45 (((phi @ x)) != $true)),
% 0.62/0.45 inference(trivial_inequality_removal,[],[f961])).
% 0.62/0.45 thf(f965,plain,(
% 0.62/0.45 $false),
% 0.62/0.45 inference(forward_subsumption_resolution,[],[f964,f883])).
% 0.62/0.45 % SZS output end Proof for theBenchmark
% 0.62/0.45 % (1524250)------------------------------
% 0.62/0.45 % (1524250)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.62/0.45 % (1524250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.62/0.45 % (1524250)CaDiCaL version: 2.1.3
% 0.62/0.45 % (1524250)Termination reason: Refutation
% 0.62/0.45 % (1524250)Time elapsed: 0.034 s
% 0.62/0.45 % (1524250)Peak memory usage: 13 MB
% 0.62/0.45 % (1524250)Instructions burned: 66 (million)
% 0.62/0.45 % (1524214)Success in time 0.175 s
% 0.62/0.45 % Vampire exiting
%------------------------------------------------------------------------------