%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP163^2 : 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 0.68s 0.45s
% Output : Refutation 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP163^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n020.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 20:05:04 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.22/0.28 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.42 % (1524672)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.68/0.42 % (1524677)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1191856941:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.68/0.42 % (1524683)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.68/0.42 % (1524683)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
% 0.68/0.42 % (1524678)lrs+10_16_si=on:nwc=1.5:random_seed=1700856322:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.68/0.42 % (1524679)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2052725652:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.68/0.42 % (1524681)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1824388876:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.68/0.42 % (1524682)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=4004866659:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.68/0.42 % (1524683)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=3083074686:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.68/0.42 % (1524679)Instruction limit reached!
% 0.68/0.42 % (1524679)------------------------------
% 0.68/0.42 % (1524679)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (1524679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (1524679)CaDiCaL version: 2.1.3
% 0.68/0.42 % (1524679)Termination reason: Instruction limit
% 0.68/0.42 % (1524679)Termination phase: shuffling
% 0.68/0.42 % (1524679)Time elapsed: 0.002 s
% 0.68/0.42 % (1524679)Peak memory usage: 10 MB
% 0.68/0.42 % (1524679)Instructions burned: 4 (million)
% 0.68/0.42 % (1524680)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=1133093691: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)
% 0.68/0.42 % (1524678)Instruction limit reached!
% 0.68/0.42 % (1524678)------------------------------
% 0.68/0.42 % (1524678)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (1524678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (1524678)CaDiCaL version: 2.1.3
% 0.68/0.42 % (1524678)Termination reason: Instruction limit
% 0.68/0.42 % (1524678)Termination phase: Property scanning
% 0.68/0.42 % (1524678)Time elapsed: 0.010 s
% 0.68/0.42 % (1524678)Peak memory usage: 10 MB
% 0.68/0.42 % (1524678)Instructions burned: 20 (million)
% 0.68/0.42 % (1524681)Instruction limit reached!
% 0.68/0.42 % (1524681)------------------------------
% 0.68/0.42 % (1524681)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (1524681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (1524681)CaDiCaL version: 2.1.3
% 0.68/0.42 % (1524681)Termination reason: Instruction limit
% 0.68/0.42 % (1524681)Termination phase: Property scanning
% 0.68/0.42 % (1524681)Time elapsed: 0.012 s
% 0.68/0.42 % (1524681)Peak memory usage: 10 MB
% 0.68/0.42 % (1524681)Instructions burned: 25 (million)
% 0.68/0.42 % (1524677)Instruction limit reached!
% 0.68/0.42 % (1524677)------------------------------
% 0.68/0.42 % (1524677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.42 % (1524677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.42 % (1524677)CaDiCaL version: 2.1.3
% 0.68/0.42 % (1524677)Termination reason: Instruction limit
% 0.68/0.42 % (1524677)Termination phase: Equality resolution with deletion
% 0.68/0.42 % (1524677)Time elapsed: 0.022 s
% 0.68/0.42 % (1524677)Peak memory usage: 12 MB
% 0.68/0.42 % (1524677)Instructions burned: 87 (million)
% 0.68/0.42 % (1524690)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3652956683:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.68/0.42 % (1524694)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2015385987:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.68/0.45 % (1524690)Instruction limit reached!
% 0.68/0.45 % (1524690)------------------------------
% 0.68/0.45 % (1524690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524690)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524690)Termination reason: Instruction limit
% 0.68/0.45 % (1524690)Termination phase: shuffling
% 0.68/0.45 % (1524690)Time elapsed: 0.002 s
% 0.68/0.45 % (1524690)Peak memory usage: 10 MB
% 0.68/0.45 % (1524690)Instructions burned: 4 (million)
% 0.68/0.45 % (1524693)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.68/0.45 % (1524694)Instruction limit reached!
% 0.68/0.45 % (1524694)------------------------------
% 0.68/0.45 % (1524694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524694)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524694)Termination reason: Instruction limit
% 0.68/0.45 % (1524694)Termination phase: shuffling
% 0.68/0.45 % (1524694)Time elapsed: 0.003 s
% 0.68/0.45 % (1524694)Peak memory usage: 10 MB
% 0.68/0.45 % (1524694)Instructions burned: 13 (million)
% 0.68/0.45 % (1524692)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3253481021:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.68/0.45 % (1524693)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=531666914:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.68/0.45 % (1524692)Instruction limit reached!
% 0.68/0.45 % (1524692)------------------------------
% 0.68/0.45 % (1524692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524692)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524692)Termination reason: Instruction limit
% 0.68/0.45 % (1524692)Termination phase: shuffling
% 0.68/0.45 % (1524692)Time elapsed: 0.004 s
% 0.68/0.45 % (1524692)Peak memory usage: 10 MB
% 0.68/0.45 % (1524692)Instructions burned: 6 (million)
% 0.68/0.45 % (1524693)Instruction limit reached!
% 0.68/0.45 % (1524693)------------------------------
% 0.68/0.45 % (1524693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524693)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524693)Termination reason: Instruction limit
% 0.68/0.45 % (1524693)Termination phase: shuffling
% 0.68/0.45 % (1524693)Time elapsed: 0.004 s
% 0.68/0.45 % (1524693)Peak memory usage: 10 MB
% 0.68/0.45 % (1524693)Instructions burned: 7 (million)
% 0.68/0.45 % (1524682)Instruction limit reached!
% 0.68/0.45 % (1524682)------------------------------
% 0.68/0.45 % (1524682)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524682)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524682)Termination reason: Instruction limit
% 0.68/0.45 % (1524682)Termination phase: Property scanning
% 0.68/0.45 % (1524682)Time elapsed: 0.036 s
% 0.68/0.45 % (1524682)Peak memory usage: 12 MB
% 0.68/0.45 % (1524682)Instructions burned: 75 (million)
% 0.68/0.45 % (1524698)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=2902980261:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.68/0.45 % (1524697)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
% 0.68/0.45 % (1524697)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.68/0.45 % (1524697)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1963347300:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.68/0.45 % (1524702)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.68/0.45 % (1524701)lrs+10_1_si=on:cs=on:random_seed=2339605323:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.68/0.45 % (1524702)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=2449161259:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.68/0.45 % (1524703)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3437523757:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.68/0.45 % (1524701)Instruction limit reached!
% 0.68/0.45 % (1524701)------------------------------
% 0.68/0.45 % (1524701)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524701)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524701)Termination reason: Instruction limit
% 0.68/0.45 % (1524701)Termination phase: shuffling
% 0.68/0.45 % (1524701)Time elapsed: 0.005 s
% 0.68/0.45 % (1524701)Peak memory usage: 10 MB
% 0.68/0.45 % (1524701)Instructions burned: 9 (million)
% 0.68/0.45 % (1524702)Instruction limit reached!
% 0.68/0.45 % (1524702)------------------------------
% 0.68/0.45 % (1524702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524702)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524702)Termination reason: Instruction limit
% 0.68/0.45 % (1524702)Termination phase: shuffling
% 0.68/0.45 % (1524702)Time elapsed: 0.003 s
% 0.68/0.45 % (1524702)Peak memory usage: 10 MB
% 0.68/0.45 % (1524702)Instructions burned: 6 (million)
% 0.68/0.45 % (1524697)Instruction limit reached!
% 0.68/0.45 % (1524697)------------------------------
% 0.68/0.45 % (1524697)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524697)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524697)Termination reason: Instruction limit
% 0.68/0.45 % (1524697)Termination phase: shuffling
% 0.68/0.45 % (1524697)Time elapsed: 0.013 s
% 0.68/0.45 % (1524697)Peak memory usage: 10 MB
% 0.68/0.45 % (1524697)Instructions burned: 29 (million)
% 0.68/0.45 % (1524698)Instruction limit reached!
% 0.68/0.45 % (1524698)------------------------------
% 0.68/0.45 % (1524698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524698)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524698)Termination reason: Instruction limit
% 0.68/0.45 % (1524698)Termination phase: Preprocessing 3
% 0.68/0.45 % (1524698)Time elapsed: 0.020 s
% 0.68/0.45 % (1524698)Peak memory usage: 11 MB
% 0.68/0.45 % (1524698)Instructions burned: 89 (million)
% 0.68/0.45 % (1524712)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1225579904:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.68/0.45 % (1524703)Instruction limit reached!
% 0.68/0.45 % (1524703)------------------------------
% 0.68/0.45 % (1524703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524703)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524703)Termination reason: Instruction limit
% 0.68/0.45 % (1524703)Termination phase: Preprocessing 3
% 0.68/0.45 % (1524703)Time elapsed: 0.019 s
% 0.68/0.45 % (1524703)Peak memory usage: 11 MB
% 0.68/0.45 % (1524703)Instructions burned: 39 (million)
% 0.68/0.45 % (1524709)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1293382011:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.68/0.45 % (1524710)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3131765401:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.68/0.45 % (1524711)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3189405957:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.68/0.45 % (1524683)Instruction limit reached!
% 0.68/0.45 % (1524683)------------------------------
% 0.68/0.45 % (1524683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524683)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524683)Termination reason: Instruction limit
% 0.68/0.45 % (1524683)Termination phase: Saturation
% 0.68/0.45 % (1524683)Time elapsed: 0.079 s
% 0.68/0.45 % (1524683)Peak memory usage: 14 MB
% 0.68/0.45 % (1524683)Instructions burned: 158 (million)
% 0.68/0.45 % (1524711)Instruction limit reached!
% 0.68/0.45 % (1524711)------------------------------
% 0.68/0.45 % (1524711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524711)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524711)Termination reason: Instruction limit
% 0.68/0.45 % (1524711)Termination phase: shuffling
% 0.68/0.45 % (1524711)Time elapsed: 0.008 s
% 0.68/0.45 % (1524711)Peak memory usage: 10 MB
% 0.68/0.45 % (1524711)Instructions burned: 16 (million)
% 0.68/0.45 % (1524710)Instruction limit reached!
% 0.68/0.45 % (1524710)------------------------------
% 0.68/0.45 % (1524710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524710)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524710)Termination reason: Instruction limit
% 0.68/0.45 % (1524710)Termination phase: Property scanning
% 0.68/0.45 % (1524710)Time elapsed: 0.012 s
% 0.68/0.45 % (1524710)Peak memory usage: 10 MB
% 0.68/0.45 % (1524710)Instructions burned: 27 (million)
% 0.68/0.45 % (1524715)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1712213703:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.68/0.45 % (1524718)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2261529331: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)
% 0.68/0.45 % (1524718)Instruction limit reached!
% 0.68/0.45 % (1524718)------------------------------
% 0.68/0.45 % (1524718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524718)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524718)Termination reason: Instruction limit
% 0.68/0.45 % (1524718)Termination phase: shuffling
% 0.68/0.45 % (1524718)Time elapsed: 0.003 s
% 0.68/0.45 % (1524718)Peak memory usage: 10 MB
% 0.68/0.45 % (1524718)Instructions burned: 5 (million)
% 0.68/0.45 % (1524715)Instruction limit reached!
% 0.68/0.45 % (1524715)------------------------------
% 0.68/0.45 % (1524715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524715)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524715)Termination reason: Instruction limit
% 0.68/0.45 % (1524715)Termination phase: shuffling
% 0.68/0.45 % (1524715)Time elapsed: 0.007 s
% 0.68/0.45 % (1524715)Peak memory usage: 10 MB
% 0.68/0.45 % (1524715)Instructions burned: 15 (million)
% 0.68/0.45 % (1524709) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1524672-1524709"...
% 0.68/0.45 % (1524719)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=105198684:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.68/0.45 % (1524709)...printing done.
% 0.68/0.45 % (1524709)Refutation found. Thanks to Tanya!
% 0.68/0.45 % SZS status Theorem for theBenchmark
% 0.68/0.45 % SZS output start Proof for theBenchmark
% 0.68/0.45 thf(type_def_5, type, refine1665802226e_nres: $tType > $tType).
% 0.68/0.45 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 0.68/0.45 thf(type_def_7, type, set: $tType > $tType).
% 0.68/0.45 thf(type_def_8, type, a: $tType).
% 0.68/0.45 thf(type_def_9, type, sTfun: ($tType * $tType) > $tType).
% 0.68/0.45 thf(func_def_0, type, type: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_1, type, ord: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_2, type, order: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_3, type, no_bot: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_4, type, no_top: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_5, type, linorder: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_6, type, preorder: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_7, type, wellorder: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_8, type, dense_order: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_9, type, linordered_idom: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_10, type, linordered_field: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_11, type, dense_linorder: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_12, type, condit1656338222tinuum: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_13, type, condit1037483654norder: !>[X0: $tType]:($o)).
% 0.68/0.45 thf(func_def_14, type, bNF_Ca1785829860lChain: !>[X0: $tType, X1: $tType]:((set @ product_prod @ X0 @ X0 > (X0 > X1) > $o))).
% 0.68/0.45 thf(func_def_15, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.68/0.45 thf(func_def_16, type, uncurry: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.68/0.45 thf(func_def_17, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.68/0.45 thf(func_def_18, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.68/0.45 thf(func_def_19, type, order_Greatest: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.68/0.45 thf(func_def_20, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.68/0.45 thf(func_def_21, type, produc2004651681e_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.68/0.45 thf(func_def_22, type, product_rec_prod: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > X2) > product_prod @ X0 @ X1 > X2))).
% 0.68/0.45 thf(func_def_23, type, refine1687780735RETURN: !>[X0: $tType]:((X0 > refine1665802226e_nres @ X0))).
% 0.68/0.45 thf(func_def_24, type, refine1315500908_inres: !>[X0: $tType]:((refine1665802226e_nres @ X0 > X0 > $o))).
% 0.68/0.45 thf(func_def_25, type, refine1554218259es_rel: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > $o))).
% 0.68/0.45 thf(func_def_26, type, refine1378444575es_rel: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > $o))).
% 0.68/0.45 thf(func_def_27, type, refine406925620_inres: !>[X0: $tType]:((refine1665802226e_nres @ X0 > X0 > $o))).
% 0.68/0.45 thf(func_def_28, type, refine1102455758nofail: !>[X0: $tType]:((refine1665802226e_nres @ X0 > $o))).
% 0.68/0.45 thf(func_def_29, type, refine1767639642_FAILi: !>[X0: $tType]:(refine1665802226e_nres @ X0)).
% 0.68/0.45 thf(func_def_30, type, refine605929679le_RES: !>[X0: $tType]:((set @ X0 > refine1665802226e_nres @ X0))).
% 0.68/0.45 thf(func_def_31, type, refine60818195e_nres: !>[X0: $tType, X1: $tType]:((X0 > (set @ X1 > X0) > refine1665802226e_nres @ X1 > X0))).
% 0.68/0.45 thf(func_def_32, type, refine1442219249c_nres: !>[X0: $tType, X1: $tType]:((X0 > (set @ X1 > X0) > refine1665802226e_nres @ X1 > X0))).
% 0.68/0.45 thf(func_def_33, type, refine1672542526he_RES: !>[X0: $tType]:((refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_34, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.68/0.45 thf(func_def_35, type, accp: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > $o))).
% 0.68/0.45 thf(func_def_36, type, chain_subset: !>[X0: $tType]:((set @ set @ X0 > $o))).
% 0.68/0.45 thf(func_def_37, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.68/0.45 thf(func_def_38, type, phi: (a > $o)).
% 0.68/0.45 thf(func_def_39, type, x: a).
% 0.68/0.45 thf(func_def_41, type, db1: !>[X0: $tType]:(X0)).
% 0.68/0.45 thf(func_def_42, type, db0: !>[X0: $tType]:(X0)).
% 0.68/0.45 thf(func_def_43, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.68/0.45 thf(func_def_44, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.68/0.45 thf(func_def_45, type, vAND: ($o > $o > $o)).
% 0.68/0.45 thf(func_def_48, type, vNOT: ($o > $o)).
% 0.68/0.45 thf(func_def_49, type, vOR: ($o > $o > $o)).
% 0.68/0.45 thf(func_def_50, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.68/0.45 thf(func_def_51, type, db2: !>[X0: $tType]:(X0)).
% 0.68/0.45 thf(func_def_52, type, vIMP: ($o > $o > $o)).
% 0.68/0.45 thf(func_def_53, type, db3: !>[X0: $tType]:(X0)).
% 0.68/0.45 thf(func_def_54, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.68/0.45 thf(func_def_55, type, sK0: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_56, type, sK1: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_57, type, sK2: !>[X0: $tType]:((refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_58, type, sK3: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 0.68/0.45 thf(func_def_59, type, sK4: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > refine1665802226e_nres @ X0))).
% 0.68/0.45 thf(func_def_60, type, sK5: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 0.68/0.45 thf(func_def_61, type, sK6: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 0.68/0.45 thf(func_def_62, type, sK7: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 0.68/0.45 thf(func_def_63, type, sK8: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.68/0.45 thf(func_def_64, type, sK9: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0))).
% 0.68/0.45 thf(func_def_65, type, sK10: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_66, type, sK11: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_67, type, sK12: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_68, type, sK13: !>[X0: $tType]:((refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_69, type, sK14: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_70, type, sK15: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_71, type, sK16: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_72, type, sK17: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_73, type, sK18: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_74, type, sK19: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0))).
% 0.68/0.45 thf(func_def_75, type, sK20: !>[X0: $tType]:((refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_76, type, sK21: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_77, type, sK22: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_78, type, sK23: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_79, type, sK24: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_80, type, sK25: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0))).
% 0.68/0.45 thf(func_def_81, type, sK26: !>[X0: $tType]:((product_prod @ refine1665802226e_nres @ X0 @ refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_82, type, sK27: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_83, type, sK28: !>[X0: $tType]:((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > set @ X0))).
% 0.68/0.45 thf(func_def_84, type, sK29: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.68/0.45 thf(func_def_85, type, sK30: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 0.68/0.45 thf(func_def_86, type, sK31: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 0.68/0.45 thf(func_def_87, type, sK32: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 0.68/0.45 thf(func_def_88, type, sK33: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > refine1665802226e_nres @ X0))).
% 0.68/0.45 thf(func_def_89, type, sK34: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 0.68/0.45 thf(func_def_90, type, sK35: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 0.68/0.45 thf(func_def_91, type, sK36: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > set @ X0))).
% 0.68/0.45 thf(func_def_92, type, sK37: !>[X0: $tType]:(((refine1665802226e_nres @ X0 > refine1665802226e_nres @ X0 > $o) > refine1665802226e_nres @ X0))).
% 0.68/0.45 thf(func_def_93, type, sK38: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.68/0.45 thf(f3,axiom,(
% 0.68/0.45 ! [X0 : $tType,X1 : set @ X0,X2 : X0] : (((refine406925620_inres @ X0 @ (refine605929679le_RES @ X0 @ X1) @ X2)) = ((member @ X0 @ X2 @ X1)))),
% 0.68/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_nf__inres__RES)).
% 0.68/0.45 thf(f22,axiom,(
% 0.68/0.45 ! [X0 : $tType] : (refine406925620_inres @ X0 = (^[X1 : refine1665802226e_nres @ X0, X2 : X0] : ((refine1102455758nofail @ X0 @ X1) & (refine1315500908_inres @ X0 @ X1 @ X2))))),
% 0.68/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_nf__inres__def)).
% 0.68/0.45 thf(f46,axiom,(
% 0.68/0.45 ! [X0 : $tType,X2 : (X0 > $o),X1 : X0] : (((member @ X0 @ X1 @ (collect @ X0 @ X2))) = ((X2 @ X1)))),
% 0.68/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_mem__Collect__eq)).
% 0.68/0.45 thf(f262,conjecture,(
% 0.68/0.45 (((refine406925620_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) = ((phi @ x)))),
% 0.68/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.68/0.45 thf(f263,negated_conjecture,(
% 0.68/0.45 ~ (((refine406925620_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) = ((phi @ x)))),
% 0.68/0.45 inference(negated_conjecture,[status(cth)],[f262])).
% 0.68/0.45 thf(f557,plain,(
% 0.68/0.45 ! [X0 : $tType] : (refine406925620_inres @ X0 = (^[X1 : refine1665802226e_nres @ X0, X2 : X0] : ((refine1102455758nofail @ X0 @ X1) & (refine1315500908_inres @ X0 @ X1 @ X2))))),
% 0.68/0.45 inference(rectify,[],[f22])).
% 0.68/0.45 thf(f558,plain,(
% 0.68/0.45 ! [X0 : $tType] : (refine406925620_inres @ X0 = (^[Y0 : refine1665802226e_nres @ X0]: ((^[Y1 : X0]: ((refine1315500908_inres @ X0 @ Y0 @ Y1) & (refine1102455758nofail @ X0 @ Y0))))))),
% 0.68/0.45 inference(fool_elimination,[],[f557])).
% 0.68/0.45 thf(f717,plain,(
% 0.68/0.45 (((refine406925620_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) != ((phi @ x)))),
% 0.68/0.45 inference(flattening,[],[f263])).
% 0.68/0.45 thf(f726,plain,(
% 0.68/0.45 ! [X0 : $tType,X1 : (X0 > $o),X2 : X0] : (((X1 @ X2)) = ((member @ X0 @ X2 @ (collect @ X0 @ X1))))),
% 0.68/0.45 inference(rectify,[],[f46])).
% 0.68/0.45 thf(f813,plain,(
% 0.68/0.45 ( ! [X0 : $tType] : ((refine406925620_inres @ X0 = (^[Y0 : refine1665802226e_nres @ X0]: ((^[Y1 : X0]: ((refine1315500908_inres @ X0 @ Y0 @ Y1) & (refine1102455758nofail @ X0 @ Y0))))))) )),
% 0.68/0.45 inference(cnf_transformation,[],[f558])).
% 0.68/0.45 thf(f820,plain,(
% 0.68/0.45 (((refine406925620_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) != ((phi @ x)))),
% 0.68/0.45 inference(cnf_transformation,[],[f717])).
% 0.68/0.45 thf(f837,plain,(
% 0.68/0.45 ( ! [X0 : $tType,X2 : X0,X1 : (X0 > $o)] : ((((X1 @ X2)) = ((member @ X0 @ X2 @ (collect @ X0 @ X1))))) )),
% 0.68/0.45 inference(cnf_transformation,[],[f726])).
% 0.68/0.45 thf(f847,plain,(
% 0.68/0.45 ( ! [X0 : $tType,X2 : X0,X1 : set @ X0] : ((((refine406925620_inres @ X0 @ (refine605929679le_RES @ X0 @ X1) @ X2)) = ((member @ X0 @ X2 @ X1)))) )),
% 0.68/0.45 inference(cnf_transformation,[],[f3])).
% 0.68/0.45 thf(f871,plain,(
% 0.68/0.45 (((phi @ x)) != (((^[Y0 : refine1665802226e_nres @ a]: ((^[Y1 : a]: ((refine1315500908_inres @ a @ Y0 @ Y1) & (refine1102455758nofail @ a @ Y0))))) @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)))),
% 0.68/0.45 inference(definition_unfolding,[],[f820,f813])).
% 0.68/0.45 thf(f872,plain,(
% 0.68/0.45 ( ! [X0 : $tType,X2 : X0,X1 : set @ X0] : ((((member @ X0 @ X2 @ X1)) = (((^[Y0 : refine1665802226e_nres @ X0]: ((^[Y1 : X0]: ((refine1315500908_inres @ X0 @ Y0 @ Y1) & (refine1102455758nofail @ X0 @ Y0))))) @ (refine605929679le_RES @ X0 @ X1) @ X2)))) )),
% 0.68/0.45 inference(definition_unfolding,[],[f847,f813])).
% 0.68/0.45 thf(f877,plain,(
% 0.68/0.45 ( ! [X0 : $tType,X2 : X0,X1 : set @ X0] : ((((member @ X0 @ X2 @ X1)) = (((refine1315500908_inres @ X0 @ (refine605929679le_RES @ X0 @ X1) @ X2) & (refine1102455758nofail @ X0 @ (refine605929679le_RES @ X0 @ X1)))))) )),
% 0.68/0.45 inference(beta-eta_normalization,[],[f872])).
% 0.68/0.45 thf(f878,plain,(
% 0.68/0.45 (((phi @ x)) = $true) | ((((^[Y0 : refine1665802226e_nres @ a]: ((^[Y1 : a]: ((refine1315500908_inres @ a @ Y0 @ Y1) & (refine1102455758nofail @ a @ Y0))))) @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) = $true)),
% 0.68/0.45 inference(xor_proxy_clausification,[],[f871])).
% 0.68/0.45 thf(f879,plain,(
% 0.68/0.45 ((((^[Y0 : refine1665802226e_nres @ a]: ((^[Y1 : a]: ((refine1315500908_inres @ a @ Y0 @ Y1) & (refine1102455758nofail @ a @ Y0))))) @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) = $false) | (((phi @ x)) = $false)),
% 0.68/0.45 inference(xor_proxy_clausification,[],[f871])).
% 0.68/0.45 thf(f880,plain,(
% 0.68/0.45 ($false = (((refine1315500908_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x) & (refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)))))) | (((phi @ x)) = $false)),
% 0.68/0.45 inference(beta-eta_normalization,[],[f879])).
% 0.68/0.45 thf(f881,plain,(
% 0.68/0.45 (((refine1315500908_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) = $false) | ($false = ((refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi))))) | (((phi @ x)) = $false)),
% 0.68/0.45 inference(and_proxy_clausification,[],[f880])).
% 0.68/0.45 thf(f882,plain,(
% 0.68/0.45 (((phi @ x)) = $true) | ($true = (((refine1315500908_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x) & (refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi))))))),
% 0.68/0.45 inference(beta-eta_normalization,[],[f878])).
% 0.68/0.45 thf(f883,plain,(
% 0.68/0.45 ($true = ((refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi))))) | (((phi @ x)) = $true)),
% 0.68/0.45 inference(and_proxy_clausification,[],[f882])).
% 0.68/0.45 thf(f884,plain,(
% 0.68/0.45 (((refine1315500908_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) = $true) | (((phi @ x)) = $true)),
% 0.68/0.45 inference(and_proxy_clausification,[],[f882])).
% 0.68/0.45 thf(f886,definition,(
% 0.68/0.45 spl39_1 <=> ($false = ((refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)))))),
% 0.68/0.45 introduced(definition,[new_symbols(definition,[spl39_1])],[avatar_definition])).
% 0.68/0.45 thf(f888,plain,(
% 0.68/0.45 ($false = ((refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi))))) | ~spl39_1),
% 0.68/0.45 inference(avatar_component_clause,[],[f886])).
% 0.68/0.45 thf(f890,definition,(
% 0.68/0.45 spl39_2 <=> (((phi @ x)) = $false)),
% 0.68/0.45 introduced(definition,[new_symbols(definition,[spl39_2])],[avatar_definition])).
% 0.68/0.45 thf(f891,plain,(
% 0.68/0.45 (((phi @ x)) != $false) | spl39_2),
% 0.68/0.45 inference(avatar_component_clause,[],[f890])).
% 0.68/0.45 thf(f892,plain,(
% 0.68/0.45 (((phi @ x)) = $false) | ~spl39_2),
% 0.68/0.45 inference(avatar_component_clause,[],[f890])).
% 0.68/0.45 thf(f894,definition,(
% 0.68/0.45 spl39_3 <=> (((refine1315500908_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) = $false)),
% 0.68/0.45 introduced(definition,[new_symbols(definition,[spl39_3])],[avatar_definition])).
% 0.68/0.45 thf(f896,plain,(
% 0.68/0.45 (((refine1315500908_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) = $false) | ~spl39_3),
% 0.68/0.45 inference(avatar_component_clause,[],[f894])).
% 0.68/0.45 thf(f897,plain,(
% 0.68/0.45 spl39_1 | spl39_2 | spl39_3),
% 0.68/0.45 inference(avatar_split_clause,[],[f881,f894,f890,f886])).
% 0.68/0.45 thf(f899,definition,(
% 0.68/0.45 spl39_4 <=> (((phi @ x)) = $true)),
% 0.68/0.45 introduced(definition,[new_symbols(definition,[spl39_4])],[avatar_definition])).
% 0.68/0.45 thf(f901,plain,(
% 0.68/0.45 (((phi @ x)) = $true) | ~spl39_4),
% 0.68/0.45 inference(avatar_component_clause,[],[f899])).
% 0.68/0.45 thf(f903,definition,(
% 0.68/0.45 spl39_5 <=> (((refine1315500908_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) = $true)),
% 0.68/0.45 introduced(definition,[new_symbols(definition,[spl39_5])],[avatar_definition])).
% 0.68/0.45 thf(f905,plain,(
% 0.68/0.45 (((refine1315500908_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ x)) = $true) | ~spl39_5),
% 0.68/0.45 inference(avatar_component_clause,[],[f903])).
% 0.68/0.45 thf(f906,plain,(
% 0.68/0.45 spl39_4 | spl39_5),
% 0.68/0.45 inference(avatar_split_clause,[],[f884,f903,f899])).
% 0.68/0.45 thf(f908,definition,(
% 0.68/0.45 spl39_6 <=> ($true = ((refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)))))),
% 0.68/0.45 introduced(definition,[new_symbols(definition,[spl39_6])],[avatar_definition])).
% 0.68/0.45 thf(f910,plain,(
% 0.68/0.45 ($true = ((refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi))))) | ~spl39_6),
% 0.68/0.45 inference(avatar_component_clause,[],[f908])).
% 0.68/0.45 thf(f911,plain,(
% 0.68/0.45 spl39_6 | spl39_4),
% 0.68/0.45 inference(avatar_split_clause,[],[f883,f899,f908])).
% 0.68/0.45 thf(f915,plain,(
% 0.68/0.45 ($true = $false) | (~spl39_2 | ~spl39_4)),
% 0.68/0.45 inference(superposition,[],[f892,f901])).
% 0.68/0.45 thf(f918,plain,(
% 0.68/0.45 $false | (~spl39_2 | ~spl39_4)),
% 0.68/0.45 inference(trivial_inequality_removal,[],[f915])).
% 0.68/0.45 thf(f919,plain,(
% 0.68/0.45 ~spl39_2 | ~spl39_4),
% 0.68/0.45 inference(avatar_contradiction_clause,[],[f918])).
% 0.68/0.45 thf(f938,plain,(
% 0.68/0.45 (((member @ a @ x @ (collect @ a @ phi))) = (($true & (refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)))))) | ~spl39_5),
% 0.68/0.45 inference(superposition,[],[f877,f905])).
% 0.68/0.45 thf(f941,plain,(
% 0.68/0.45 ((($true & (refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi))))) = $false) | (((member @ a @ x @ (collect @ a @ phi))) = $true) | ~spl39_5),
% 0.68/0.45 inference(iff_proxy_clausification,[],[f938])).
% 0.68/0.45 thf(f945,plain,(
% 0.68/0.45 ($false = ((refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi))))) | ($true = $false) | (((member @ a @ x @ (collect @ a @ phi))) = $true) | ~spl39_5),
% 0.68/0.45 inference(and_proxy_clausification,[],[f941])).
% 0.68/0.45 thf(f946,plain,(
% 0.68/0.45 ($false = ((refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi))))) | (((member @ a @ x @ (collect @ a @ phi))) = $true) | ~spl39_5),
% 0.68/0.45 inference(trivial_inequality_removal,[],[f945])).
% 0.68/0.45 thf(f949,plain,(
% 0.68/0.45 (((member @ a @ x @ (collect @ a @ phi))) = $true) | ($true = $false) | (~spl39_5 | ~spl39_6)),
% 0.68/0.45 inference(forward_demodulation,[],[f946,f910])).
% 0.68/0.45 thf(f950,plain,(
% 0.68/0.45 (((member @ a @ x @ (collect @ a @ phi))) = $true) | (~spl39_5 | ~spl39_6)),
% 0.68/0.45 inference(trivial_inequality_removal,[],[f949])).
% 0.68/0.45 thf(f951,plain,(
% 0.68/0.45 (((phi @ x)) = $true) | (~spl39_5 | ~spl39_6)),
% 0.68/0.45 inference(forward_demodulation,[],[f950,f837])).
% 0.68/0.45 thf(f952,plain,(
% 0.68/0.45 ($true = $false) | (~spl39_2 | ~spl39_5 | ~spl39_6)),
% 0.68/0.45 inference(forward_demodulation,[],[f951,f892])).
% 0.68/0.45 thf(f953,plain,(
% 0.68/0.45 $false | (~spl39_2 | ~spl39_5 | ~spl39_6)),
% 0.68/0.45 inference(trivial_inequality_removal,[],[f952])).
% 0.68/0.45 thf(f954,plain,(
% 0.68/0.45 ~spl39_2 | ~spl39_5 | ~spl39_6),
% 0.68/0.45 inference(avatar_contradiction_clause,[],[f953])).
% 0.68/0.45 thf(f962,plain,(
% 0.68/0.45 ( ! [X0 : a] : ((((member @ a @ X0 @ (collect @ a @ phi))) = (((refine1315500908_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ X0) & $false)))) ) | ~spl39_1),
% 0.68/0.45 inference(superposition,[],[f877,f888])).
% 0.68/0.45 thf(f971,plain,(
% 0.68/0.45 ( ! [X0 : a] : ((((member @ a @ X0 @ (collect @ a @ phi))) = $false) | ((((refine1315500908_inres @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi)) @ X0) & $false)) = $true)) ) | ~spl39_1),
% 0.68/0.45 inference(iff_proxy_clausification,[],[f962])).
% 0.68/0.45 thf(f972,plain,(
% 0.68/0.45 ( ! [X0 : a] : (($true = $false) | (((member @ a @ X0 @ (collect @ a @ phi))) = $false)) ) | ~spl39_1),
% 0.68/0.45 inference(and_proxy_clausification,[],[f971])).
% 0.68/0.45 thf(f974,plain,(
% 0.68/0.45 ( ! [X0 : a] : ((((member @ a @ X0 @ (collect @ a @ phi))) = $false)) ) | ~spl39_1),
% 0.68/0.45 inference(trivial_inequality_removal,[],[f972])).
% 0.68/0.45 thf(f979,plain,(
% 0.68/0.45 ( ! [X0 : a] : ((((phi @ X0)) = $false)) ) | ~spl39_1),
% 0.68/0.45 inference(forward_demodulation,[],[f974,f837])).
% 0.68/0.45 thf(f987,plain,(
% 0.68/0.45 ((($false & (refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi))))) = ((member @ a @ x @ (collect @ a @ phi)))) | ~spl39_3),
% 0.68/0.45 inference(superposition,[],[f877,f896])).
% 0.68/0.45 thf(f988,plain,(
% 0.68/0.45 ((($false & (refine1102455758nofail @ a @ (refine605929679le_RES @ a @ (collect @ a @ phi))))) = $true) | (((member @ a @ x @ (collect @ a @ phi))) = $false) | ~spl39_3),
% 0.68/0.45 inference(iff_proxy_clausification,[],[f987])).
% 0.68/0.45 thf(f992,plain,(
% 0.68/0.45 (((member @ a @ x @ (collect @ a @ phi))) = $false) | ($true = $false) | ~spl39_3),
% 0.68/0.45 inference(and_proxy_clausification,[],[f988])).
% 0.68/0.45 thf(f993,plain,(
% 0.68/0.45 (((member @ a @ x @ (collect @ a @ phi))) = $false) | ~spl39_3),
% 0.68/0.45 inference(trivial_inequality_removal,[],[f992])).
% 0.68/0.45 thf(f1003,plain,(
% 0.68/0.45 (((phi @ x)) = $false) | ~spl39_3),
% 0.68/0.45 inference(forward_demodulation,[],[f993,f837])).
% 0.68/0.45 thf(f1004,plain,(
% 0.68/0.45 $false | (spl39_2 | ~spl39_3)),
% 0.68/0.45 inference(forward_subsumption_resolution,[],[f1003,f891])).
% 0.68/0.45 thf(f1005,plain,(
% 0.68/0.45 spl39_2 | ~spl39_3),
% 0.68/0.45 inference(avatar_contradiction_clause,[],[f1004])).
% 0.68/0.45 thf(f1012,plain,(
% 0.68/0.45 ($false != $false) | (~spl39_1 | spl39_2)),
% 0.68/0.45 inference(superposition,[],[f891,f979])).
% 0.68/0.45 thf(f1017,plain,(
% 0.68/0.45 $false | (~spl39_1 | spl39_2)),
% 0.68/0.45 inference(trivial_inequality_removal,[],[f1012])).
% 0.68/0.45 thf(f1018,plain,(
% 0.68/0.45 ~spl39_1 | spl39_2),
% 0.68/0.45 inference(avatar_contradiction_clause,[],[f1017])).
% 0.68/0.45 cnf(s1, plain, spl39_1 | spl39_2 | spl39_3, inference(sat_conversion,[],[f897])).
% 0.68/0.45 cnf(s2, plain, spl39_4 | spl39_5, inference(sat_conversion,[],[f906])).
% 0.68/0.45 cnf(s3, plain, spl39_4 | spl39_6, inference(sat_conversion,[],[f911])).
% 0.68/0.45 cnf(s5, plain, ~spl39_2 | ~spl39_4, inference(sat_conversion,[],[f919])).
% 0.68/0.45 cnf(s6, plain, ~spl39_2 | ~spl39_5 | ~spl39_6, inference(sat_conversion,[],[f954])).
% 0.68/0.45 cnf(s12, plain, spl39_2 | ~spl39_3, inference(sat_conversion,[],[f1005])).
% 0.68/0.45 cnf(s15, plain, ~spl39_1 | spl39_2, inference(sat_conversion,[],[f1018])).
% 0.68/0.45 cnf(s17, plain, ~spl39_2, inference(rat,[],[s6,s2,s3,s5])).
% 0.68/0.45 cnf(s18, plain, ~spl39_1, inference(rat,[],[s15,s17])).
% 0.68/0.45 cnf(s19, plain, ~spl39_3, inference(rat,[],[s12,s17])).
% 0.68/0.45 cnf(s20, plain, $false, inference(rat,[],[s1,s18,s19,s17])).
% 0.68/0.45 thf(f1020,plain,(
% 0.68/0.45 $false),
% 0.68/0.45 inference(avatar_sat_refutation,[],[s20])).
% 0.68/0.45 % SZS output end Proof for theBenchmark
% 0.68/0.45 % (1524709)------------------------------
% 0.68/0.45 % (1524709)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.68/0.45 % (1524709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.68/0.45 % (1524709)CaDiCaL version: 2.1.3
% 0.68/0.45 % (1524709)Termination reason: Refutation
% 0.68/0.45 % (1524709)Time elapsed: 0.029 s
% 0.68/0.45 % (1524709)Peak memory usage: 14 MB
% 0.68/0.45 % (1524709)Instructions burned: 57 (million)
% 0.68/0.45 % (1524672)Success in time 0.163 s
% 0.68/0.45 % Vampire exiting
%------------------------------------------------------------------------------