%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM170^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 07:46:23 AM UTC 2026
% Result : Theorem 0.48s 0.45s
% Output : Refutation 0.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM170^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n018.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 17:50:41 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.21/0.28 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
% 0.48/0.43 % (416174)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.48/0.43 % (416195)lrs+10_16_si=on:nwc=1.5:random_seed=178157693:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.48/0.43 % (416200)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.48/0.43 % (416200)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
% 0.48/0.43 % (416195)Instruction limit reached!
% 0.48/0.43 % (416195)------------------------------
% 0.48/0.43 % (416195)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.43 % (416195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.43 % (416195)CaDiCaL version: 2.1.3
% 0.48/0.43 % (416195)Termination reason: Instruction limit
% 0.48/0.43 % (416195)Termination phase: Property scanning
% 0.48/0.43 % (416195)Time elapsed: 0.005 s
% 0.48/0.43 % (416195)Peak memory usage: 10 MB
% 0.48/0.43 % (416195)Instructions burned: 20 (million)
% 0.48/0.43 % (416194)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=650911924:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.48/0.43 % (416199)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=150323256:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.48/0.43 % (416198)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1244640337:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.48/0.43 % (416197)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=1801271566: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)
% 0.48/0.43 % (416200)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=143807514:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.48/0.43 % (416196)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2638716848:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.48/0.43 % (416205)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=431642656:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.48/0.43 % (416196)Instruction limit reached!
% 0.48/0.43 % (416196)------------------------------
% 0.48/0.43 % (416196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.43 % (416196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.43 % (416196)CaDiCaL version: 2.1.3
% 0.48/0.43 % (416196)Termination reason: Instruction limit
% 0.48/0.43 % (416196)Termination phase: shuffling
% 0.48/0.43 % (416196)Time elapsed: 0.002 s
% 0.48/0.43 % (416196)Peak memory usage: 10 MB
% 0.48/0.43 % (416196)Instructions burned: 3 (million)
% 0.48/0.43 % (416205)Instruction limit reached!
% 0.48/0.43 % (416205)------------------------------
% 0.48/0.43 % (416205)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.43 % (416205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.43 % (416205)CaDiCaL version: 2.1.3
% 0.48/0.43 % (416205)Termination reason: Instruction limit
% 0.48/0.43 % (416205)Termination phase: shuffling
% 0.48/0.43 % (416205)Time elapsed: 0.003 s
% 0.48/0.43 % (416205)Peak memory usage: 10 MB
% 0.48/0.43 % (416205)Instructions burned: 10 (million)
% 0.48/0.43 % (416198)Instruction limit reached!
% 0.48/0.43 % (416198)------------------------------
% 0.48/0.43 % (416198)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.43 % (416198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.43 % (416198)CaDiCaL version: 2.1.3
% 0.48/0.43 % (416198)Termination reason: Instruction limit
% 0.48/0.43 % (416198)Termination phase: Property scanning
% 0.48/0.43 % (416198)Time elapsed: 0.012 s
% 0.48/0.43 % (416198)Peak memory usage: 10 MB
% 0.48/0.43 % (416198)Instructions burned: 25 (million)
% 0.48/0.43 % (416216)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.48/0.43 % (416216)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1803361036:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.48/0.45 % (416216)Instruction limit reached!
% 0.48/0.45 % (416216)------------------------------
% 0.48/0.45 % (416216)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416216)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416216)Termination reason: Instruction limit
% 0.48/0.45 % (416216)Termination phase: shuffling
% 0.48/0.45 % (416216)Time elapsed: 0.003 s
% 0.48/0.45 % (416216)Peak memory usage: 10 MB
% 0.48/0.45 % (416216)Instructions burned: 14 (million)
% 0.48/0.45 % (416213)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1574121094:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.48/0.45 % (416217)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1733113532:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.48/0.45 % (416213)Instruction limit reached!
% 0.48/0.45 % (416213)------------------------------
% 0.48/0.45 % (416213)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416213)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416213)Termination reason: Instruction limit
% 0.48/0.45 % (416213)Termination phase: shuffling
% 0.48/0.45 % (416213)Time elapsed: 0.003 s
% 0.48/0.45 % (416213)Peak memory usage: 10 MB
% 0.48/0.45 % (416213)Instructions burned: 6 (million)
% 0.48/0.45 % (416223)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
% 0.48/0.45 % (416223)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.48/0.45 % (416223)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1937498253:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.48/0.45 % (416199)Instruction limit reached!
% 0.48/0.45 % (416199)------------------------------
% 0.48/0.45 % (416199)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416199)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416199)Termination reason: Instruction limit
% 0.48/0.45 % (416199)Termination phase: Function definition elimination
% 0.48/0.45 % (416199)Time elapsed: 0.036 s
% 0.48/0.45 % (416199)Peak memory usage: 12 MB
% 0.48/0.45 % (416199)Instructions burned: 75 (million)
% 0.48/0.45 % (416217)Instruction limit reached!
% 0.48/0.45 % (416217)------------------------------
% 0.48/0.45 % (416217)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416217)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416217)Termination reason: Instruction limit
% 0.48/0.45 % (416217)Termination phase: shuffling
% 0.48/0.45 % (416217)Time elapsed: 0.006 s
% 0.48/0.45 % (416217)Peak memory usage: 10 MB
% 0.48/0.45 % (416217)Instructions burned: 13 (million)
% 0.48/0.45 % (416194)Instruction limit reached!
% 0.48/0.45 % (416194)------------------------------
% 0.48/0.45 % (416194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416194)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416194)Termination reason: Instruction limit
% 0.48/0.45 % (416194)Termination phase: Property scanning
% 0.48/0.45 % (416194)Time elapsed: 0.041 s
% 0.48/0.45 % (416194)Peak memory usage: 12 MB
% 0.48/0.45 % (416194)Instructions burned: 88 (million)
% 0.48/0.45 % (416223)Instruction limit reached!
% 0.48/0.45 % (416223)------------------------------
% 0.48/0.45 % (416223)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416223)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416223)Termination reason: Instruction limit
% 0.48/0.45 % (416223)Termination phase: shuffling
% 0.48/0.45 % (416223)Time elapsed: 0.007 s
% 0.48/0.45 % (416223)Peak memory usage: 10 MB
% 0.48/0.45 % (416223)Instructions burned: 30 (million)
% 0.48/0.45 % (416230)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=1240644903:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.48/0.45 % (416234)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.48/0.45 % (416238)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1989420005:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.48/0.45 % (416233)lrs+10_1_si=on:cs=on:random_seed=1694808903:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.48/0.45 % (416234)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=4281491212:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.48/0.45 % (416234)Instruction limit reached!
% 0.48/0.45 % (416234)------------------------------
% 0.48/0.45 % (416234)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416234)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416234)Termination reason: Instruction limit
% 0.48/0.45 % (416234)Termination phase: shuffling
% 0.48/0.45 % (416234)Time elapsed: 0.002 s
% 0.48/0.45 % (416234)Peak memory usage: 10 MB
% 0.48/0.45 % (416234)Instructions burned: 3 (million)
% 0.48/0.45 % (416233)Instruction limit reached!
% 0.48/0.45 % (416233)------------------------------
% 0.48/0.45 % (416233)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416233)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416233)Termination reason: Instruction limit
% 0.48/0.45 % (416233)Termination phase: shuffling
% 0.48/0.45 % (416233)Time elapsed: 0.004 s
% 0.48/0.45 % (416233)Peak memory usage: 10 MB
% 0.48/0.45 % (416233)Instructions burned: 8 (million)
% 0.48/0.45 % (416236)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=509397510:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.48/0.45 % (416247)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3051180308:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.48/0.45 % (416249)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1538048869:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.48/0.45 % (416236)Instruction limit reached!
% 0.48/0.45 % (416236)------------------------------
% 0.48/0.45 % (416236)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416236)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416236)Termination reason: Instruction limit
% 0.48/0.45 % (416236)Termination phase: Property scanning
% 0.48/0.45 % (416236)Time elapsed: 0.018 s
% 0.48/0.45 % (416236)Peak memory usage: 11 MB
% 0.48/0.45 % (416236)Instructions burned: 38 (million)
% 0.48/0.45 % (416200)Instruction limit reached!
% 0.48/0.45 % (416200)------------------------------
% 0.48/0.45 % (416200)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416200)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416200)Termination reason: Instruction limit
% 0.48/0.45 % (416200)Termination phase: Saturation
% 0.48/0.45 % (416200)Time elapsed: 0.080 s
% 0.48/0.45 % (416200)Peak memory usage: 14 MB
% 0.48/0.45 % (416200)Instructions burned: 157 (million)
% 0.48/0.45 % (416249)Instruction limit reached!
% 0.48/0.45 % (416249)------------------------------
% 0.48/0.45 % (416249)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416249)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416249)Termination reason: Instruction limit
% 0.48/0.45 % (416249)Termination phase: shuffling
% 0.48/0.45 % (416249)Time elapsed: 0.007 s
% 0.48/0.45 % (416249)Peak memory usage: 10 MB
% 0.48/0.45 % (416249)Instructions burned: 15 (million)
% 0.48/0.45 % (416230)Instruction limit reached!
% 0.48/0.45 % (416230)------------------------------
% 0.48/0.45 % (416230)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416230)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416230)Termination reason: Instruction limit
% 0.48/0.45 % (416230)Termination phase: Property scanning
% 0.48/0.45 % (416230)Time elapsed: 0.038 s
% 0.48/0.45 % (416230)Peak memory usage: 11 MB
% 0.48/0.45 % (416230)Instructions burned: 88 (million)
% 0.48/0.45 % (416247)Instruction limit reached!
% 0.48/0.45 % (416247)------------------------------
% 0.48/0.45 % (416247)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416247)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416247)Termination reason: Instruction limit
% 0.48/0.45 % (416247)Termination phase: Property scanning
% 0.48/0.45 % (416247)Time elapsed: 0.012 s
% 0.48/0.45 % (416247)Peak memory usage: 10 MB
% 0.48/0.45 % (416247)Instructions burned: 25 (million)
% 0.48/0.45 % (416260)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=66205399:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.48/0.45 % (416263)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=3395840882:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.48/0.45 % (416197) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-416174-416197"...
% 0.48/0.45 % (416267)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=431931922: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)
% 0.48/0.45 % (416197)...printing done.
% 0.48/0.45 % (416263)Instruction limit reached!
% 0.48/0.45 % (416263)------------------------------
% 0.48/0.45 % (416263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416263)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416263)Termination reason: Instruction limit
% 0.48/0.45 % (416263)Termination phase: shuffling
% 0.48/0.45 % (416263)Time elapsed: 0.007 s
% 0.48/0.45 % (416263)Peak memory usage: 10 MB
% 0.48/0.45 % (416263)Instructions burned: 15 (million)
% 0.48/0.45 % (416197)Refutation found. Thanks to Tanya!
% 0.48/0.45 % SZS status Theorem for theBenchmark
% 0.48/0.45 % SZS output start Proof for theBenchmark
% 0.48/0.45 thf(type_def_5, type, binDag_Mirabelle_dag: $tType).
% 0.48/0.45 thf(type_def_6, type, simpl_ref: $tType).
% 0.48/0.45 thf(type_def_7, type, list: $tType > $tType).
% 0.48/0.45 thf(type_def_8, type, set: $tType > $tType).
% 0.48/0.45 thf(type_def_9, type, itself: $tType > $tType).
% 0.48/0.45 thf(type_def_10, type, sTfun: ($tType * $tType) > $tType).
% 0.48/0.45 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_1, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_3, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_4, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_5, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_6, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_7, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_8, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_9, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_10, type, dense_order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_11, type, dense_linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_12, type, condit1656338222tinuum: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_13, type, condit1037483654norder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.48/0.45 thf(func_def_14, type, binDag_Mirabelle_DAG: (binDag_Mirabelle_dag > $o)).
% 0.48/0.45 thf(func_def_15, type, binDag_Mirabelle_Dag: (simpl_ref > (simpl_ref > simpl_ref) > (simpl_ref > simpl_ref) > binDag_Mirabelle_dag > $o)).
% 0.48/0.45 thf(func_def_16, type, binDag476092410e_Node: (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 0.48/0.45 thf(func_def_17, type, binDag_Mirabelle_Tip: binDag_Mirabelle_dag).
% 0.48/0.45 thf(func_def_18, type, binDag1297733282se_dag: !>[X0: $tType]:((X0 > (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0) > binDag_Mirabelle_dag > X0))).
% 0.48/0.45 thf(func_def_19, type, binDag1442713106ec_dag: !>[X0: $tType]:((X0 > (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0 > X0 > X0) > binDag_Mirabelle_dag > X0))).
% 0.48/0.45 thf(func_def_20, type, binDag1380252983set_of: (binDag_Mirabelle_dag > set @ simpl_ref)).
% 0.48/0.45 thf(func_def_21, type, binDag786255756subdag: (binDag_Mirabelle_dag > binDag_Mirabelle_dag > $o)).
% 0.48/0.45 thf(func_def_22, type, finite_finite: !>[X0: $tType]:((set @ X0 > $o))).
% 0.48/0.45 thf(func_def_23, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 0.48/0.45 thf(func_def_24, type, override_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0 > X1))).
% 0.48/0.45 thf(func_def_25, type, swap: !>[X0: $tType, X1: $tType]:((X0 > X0 > (X0 > X1) > X0 > X1))).
% 0.48/0.45 thf(func_def_26, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.48/0.45 thf(func_def_27, type, coset: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 0.48/0.45 thf(func_def_28, type, linord467138063of_set: !>[X0: $tType]:((set @ X0 > list @ X0))).
% 0.48/0.45 thf(func_def_29, type, nil: !>[X0: $tType]:(list @ X0)).
% 0.48/0.45 thf(func_def_30, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 0.48/0.45 thf(func_def_31, type, null: !>[X0: $tType]:((list @ X0 > $o))).
% 0.48/0.45 thf(func_def_32, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.48/0.45 thf(func_def_33, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.48/0.45 thf(func_def_34, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.48/0.45 thf(func_def_35, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.48/0.45 thf(func_def_36, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.48/0.45 thf(func_def_37, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.48/0.45 thf(func_def_38, type, simpl_Null: simpl_ref).
% 0.48/0.45 thf(func_def_39, type, simpl_new: (set @ simpl_ref > simpl_ref)).
% 0.48/0.45 thf(func_def_40, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.48/0.45 thf(func_def_41, type, l: (simpl_ref > simpl_ref)).
% 0.48/0.45 thf(func_def_42, type, lt: binDag_Mirabelle_dag).
% 0.48/0.45 thf(func_def_43, type, p: simpl_ref).
% 0.48/0.45 thf(func_def_44, type, r: (simpl_ref > simpl_ref)).
% 0.48/0.45 thf(func_def_45, type, rt: binDag_Mirabelle_dag).
% 0.48/0.45 thf(func_def_46, type, t: binDag_Mirabelle_dag).
% 0.48/0.45 thf(func_def_47, type, thesis: $o).
% 0.48/0.45 thf(func_def_51, type, vOR: ($o > $o > $o)).
% 0.48/0.45 thf(func_def_52, type, db1: !>[X0: $tType]:(X0)).
% 0.48/0.45 thf(func_def_53, type, db0: !>[X0: $tType]:(X0)).
% 0.48/0.45 thf(func_def_54, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.48/0.45 thf(func_def_55, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.48/0.45 thf(func_def_56, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.48/0.45 thf(func_def_57, type, vIMP: ($o > $o > $o)).
% 0.48/0.45 thf(func_def_58, type, db2: !>[X0: $tType]:(X0)).
% 0.48/0.45 thf(func_def_59, type, vAND: ($o > $o > $o)).
% 0.48/0.45 thf(func_def_60, type, vNOT: ($o > $o)).
% 0.48/0.45 thf(func_def_61, type, db3: !>[X0: $tType]:(X0)).
% 0.48/0.45 thf(func_def_62, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.48/0.45 thf(func_def_63, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.48/0.45 thf(func_def_64, type, sK2: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_65, type, sK3: (binDag_Mirabelle_dag > simpl_ref)).
% 0.48/0.45 thf(func_def_66, type, sK4: (binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 0.48/0.45 thf(func_def_67, type, sK5: (binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 0.48/0.45 thf(func_def_68, type, sK6: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.45 thf(func_def_69, type, sK7: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.45 thf(func_def_70, type, sK8: !>[X0: $tType]:((set @ X0 > X0))).
% 0.48/0.45 thf(func_def_71, type, sK9: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_72, type, sK10: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.48/0.45 thf(func_def_73, type, sK11: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_74, type, sK12: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_75, type, sK13: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.48/0.45 thf(func_def_76, type, sK14: (binDag_Mirabelle_dag > (simpl_ref > simpl_ref) > (simpl_ref > simpl_ref) > simpl_ref)).
% 0.48/0.45 thf(func_def_77, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_78, type, sK16: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_79, type, sK17: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_80, type, sK18: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.45 thf(func_def_81, type, sK19: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.45 thf(func_def_82, type, sK20: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_83, type, sK21: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_84, type, sK22: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_85, type, sK23: !>[X0: $tType]:(((X0 > $o) > X0 > X0 > X0))).
% 0.48/0.45 thf(func_def_86, type, sK24: !>[X0: $tType]:((X0 > (X0 > $o) > X0 > X0))).
% 0.48/0.45 thf(func_def_87, type, sK25: ((simpl_ref > simpl_ref) > simpl_ref > (simpl_ref > simpl_ref) > binDag_Mirabelle_dag)).
% 0.48/0.45 thf(func_def_88, type, sK26: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_89, type, sK27: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_90, type, sK28: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_91, type, sK29: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.48/0.45 thf(func_def_92, type, sK30: !>[X0: $tType]:((set @ X0 > X0))).
% 0.48/0.45 thf(func_def_93, type, sK31: !>[X0: $tType]:((set @ X0 > list @ X0 > X0))).
% 0.48/0.45 thf(func_def_94, type, sK32: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_95, type, sK33: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_96, type, sK34: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_97, type, sK35: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_98, type, sK36: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_99, type, sK37: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_100, type, sK38: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_101, type, sK39: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_102, type, sK40: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_103, type, sK41: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_104, type, sK42: ((binDag_Mirabelle_dag > $o) > binDag_Mirabelle_dag)).
% 0.48/0.45 thf(func_def_105, type, sK43: ((binDag_Mirabelle_dag > $o) > binDag_Mirabelle_dag)).
% 0.48/0.45 thf(func_def_106, type, sK44: ((binDag_Mirabelle_dag > $o) > simpl_ref)).
% 0.48/0.45 thf(func_def_107, type, sK45: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.45 thf(func_def_108, type, sK46: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.45 thf(func_def_109, type, sK47: (simpl_ref > (simpl_ref > simpl_ref) > binDag_Mirabelle_dag > (simpl_ref > simpl_ref) > binDag_Mirabelle_dag)).
% 0.48/0.45 thf(func_def_110, type, sK48: (simpl_ref > (simpl_ref > simpl_ref) > binDag_Mirabelle_dag > (simpl_ref > simpl_ref) > binDag_Mirabelle_dag)).
% 0.48/0.45 thf(func_def_111, type, sK49: !>[X0: $tType]:((set @ X0 > X0))).
% 0.48/0.45 thf(func_def_112, type, sK50: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.45 thf(func_def_113, type, sK51: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.45 thf(func_def_114, type, sK52: !>[X0: $tType, X1: $tType]:((X1 > X0))).
% 0.48/0.45 thf(func_def_115, type, sK53: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.48/0.45 thf(func_def_116, type, sK54: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_117, type, sK55: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_118, type, sK56: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.48/0.45 thf(func_def_119, type, sK57: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_120, type, sK58: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_121, type, sK59: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_122, type, sK60: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_123, type, sK61: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_124, type, sK62: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.45 thf(func_def_125, type, sK63: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.48/0.45 thf(func_def_126, type, sK64: !>[X0: $tType, X1: $tType]:((X0 > X1))).
% 0.48/0.45 thf(func_def_127, type, sK65: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_128, type, sK66: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_129, type, sK67: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_130, type, sK68: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_131, type, sK69: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_132, type, sK70: !>[X0: $tType]:((set @ X0 > X0))).
% 0.48/0.45 thf(func_def_133, type, sK71: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_134, type, sK72: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_135, type, sK73: !>[X0: $tType]:((X0 > X0 > X0 > X0))).
% 0.48/0.45 thf(func_def_136, type, sK74: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_137, type, sK75: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_138, type, sK76: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_139, type, sK77: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_140, type, sK78: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_141, type, sK79: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_142, type, sK80: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_143, type, sK81: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_144, type, sK82: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_145, type, sK83: (simpl_ref > binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 0.48/0.45 thf(func_def_146, type, sK84: (simpl_ref > binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 0.48/0.45 thf(func_def_147, type, sK85: !>[X0: $tType]:((X0 > X0))).
% 0.48/0.45 thf(func_def_148, type, sK86: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_149, type, sK87: !>[X0: $tType]:((X0 > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_150, type, sK88: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > (X0 > $o) > (X0 > $o) > X0))).
% 0.48/0.45 thf(func_def_151, type, sK89: !>[X0: $tType]:((set @ X0 > list @ X0 > X0))).
% 0.48/0.45 thf(func_def_152, type, sK90: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_153, type, sK91: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.48/0.45 thf(func_def_154, type, sK92: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.48/0.45 thf(f1,axiom,(
% 0.48/0.45 (binDag_Mirabelle_Dag @ (r @ p) @ l @ r @ t)),
% 0.48/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_assms)).
% 0.48/0.45 thf(f3,axiom,(
% 0.48/0.45 (binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))),
% 0.48/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_subdag)).
% 0.48/0.45 thf(f9,axiom,(
% 0.48/0.45 ! [X1 : (simpl_ref > simpl_ref),X2 : (simpl_ref > simpl_ref),X0 : simpl_ref,X3 : binDag_Mirabelle_dag,X4 : binDag_Mirabelle_dag] : ((binDag_Mirabelle_Dag @ X0 @ X1 @ X2 @ X3) => ((binDag786255756subdag @ X3 @ X4) => ? [X5 : simpl_ref] : (binDag_Mirabelle_Dag @ X5 @ X1 @ X2 @ X4)))),
% 0.48/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_Dag__subdag)).
% 0.48/0.45 thf(f279,axiom,(
% 0.48/0.45 ! [X0 : simpl_ref] : ((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt)) => thesis)),
% 0.48/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0)).
% 0.48/0.45 thf(f280,conjecture,(
% 0.48/0.45 thesis),
% 0.48/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1)).
% 0.48/0.45 thf(f281,negated_conjecture,(
% 0.48/0.45 ~thesis),
% 0.48/0.45 inference(negated_conjecture,[status(cth)],[f280])).
% 0.48/0.45 thf(f401,plain,(
% 0.48/0.45 ~thesis),
% 0.48/0.45 inference(rectify,[],[f281])).
% 0.48/0.45 thf(f402,plain,(
% 0.48/0.45 ~ (thesis = $true)),
% 0.48/0.45 inference(fool_elimination,[],[f401])).
% 0.48/0.45 thf(f431,plain,(
% 0.48/0.45 (binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))),
% 0.48/0.45 inference(rectify,[],[f3])).
% 0.48/0.45 thf(f432,plain,(
% 0.48/0.45 (((binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))) = $true)),
% 0.48/0.45 inference(fool_elimination,[],[f431])).
% 0.48/0.45 thf(f468,plain,(
% 0.48/0.45 ! [X0 : simpl_ref] : ((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt)) => thesis)),
% 0.48/0.45 inference(rectify,[],[f279])).
% 0.48/0.45 thf(f469,plain,(
% 0.48/0.45 ! [X0 : simpl_ref] : ((((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt))) = $true) => (thesis = $true))),
% 0.48/0.45 inference(fool_elimination,[],[f468])).
% 0.48/0.45 thf(f490,plain,(
% 0.48/0.45 ! [X0 : (simpl_ref > simpl_ref),X1 : (simpl_ref > simpl_ref),X2 : simpl_ref,X3 : binDag_Mirabelle_dag,X4 : binDag_Mirabelle_dag] : ((binDag_Mirabelle_Dag @ X2 @ X0 @ X1 @ X3) => ((binDag786255756subdag @ X3 @ X4) => ? [X5 : simpl_ref] : (binDag_Mirabelle_Dag @ X5 @ X0 @ X1 @ X4)))),
% 0.48/0.45 inference(rectify,[],[f9])).
% 0.48/0.45 thf(f491,plain,(
% 0.48/0.45 ! [X4 : binDag_Mirabelle_dag,X3 : binDag_Mirabelle_dag,X1 : (simpl_ref > simpl_ref),X2 : simpl_ref,X0 : (simpl_ref > simpl_ref)] : ((((binDag_Mirabelle_Dag @ X2 @ X0 @ X1 @ X3)) = $true) => ((((binDag786255756subdag @ X3 @ X4)) = $true) => ? [X5 : simpl_ref] : (((binDag_Mirabelle_Dag @ X5 @ X0 @ X1 @ X4)) = $true)))),
% 0.48/0.45 inference(fool_elimination,[],[f490])).
% 0.48/0.45 thf(f511,plain,(
% 0.48/0.45 (binDag_Mirabelle_Dag @ (r @ p) @ l @ r @ t)),
% 0.48/0.45 inference(rectify,[],[f1])).
% 0.48/0.45 thf(f512,plain,(
% 0.48/0.45 (((binDag_Mirabelle_Dag @ (r @ p) @ l @ r @ t)) = $true)),
% 0.48/0.45 inference(fool_elimination,[],[f511])).
% 0.48/0.45 thf(f799,plain,(
% 0.48/0.45 (thesis != $true)),
% 0.48/0.45 inference(flattening,[],[f402])).
% 0.48/0.45 thf(f941,plain,(
% 0.48/0.45 ! [X0 : simpl_ref] : ((thesis = $true) | (((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt))) != $true))),
% 0.48/0.45 inference(ennf_transformation,[],[f469])).
% 0.48/0.45 thf(f1020,plain,(
% 0.48/0.45 ! [X4 : binDag_Mirabelle_dag,X3 : binDag_Mirabelle_dag,X1 : (simpl_ref > simpl_ref),X2 : simpl_ref,X0 : (simpl_ref > simpl_ref)] : ((? [X5 : simpl_ref] : (((binDag_Mirabelle_Dag @ X5 @ X0 @ X1 @ X4)) = $true) | (((binDag786255756subdag @ X3 @ X4)) != $true)) | (((binDag_Mirabelle_Dag @ X2 @ X0 @ X1 @ X3)) != $true))),
% 0.48/0.45 inference(ennf_transformation,[],[f491])).
% 0.48/0.45 thf(f1021,plain,(
% 0.48/0.45 ! [X1 : (simpl_ref > simpl_ref),X0 : (simpl_ref > simpl_ref),X2 : simpl_ref,X4 : binDag_Mirabelle_dag,X3 : binDag_Mirabelle_dag] : ((((binDag_Mirabelle_Dag @ X2 @ X0 @ X1 @ X3)) != $true) | (((binDag786255756subdag @ X3 @ X4)) != $true) | ? [X5 : simpl_ref] : (((binDag_Mirabelle_Dag @ X5 @ X0 @ X1 @ X4)) = $true))),
% 0.48/0.45 inference(flattening,[],[f1020])).
% 0.48/0.45 thf(f1147,plain,(
% 0.48/0.45 ! [X0 : (simpl_ref > simpl_ref),X1 : (simpl_ref > simpl_ref),X2 : simpl_ref,X3 : binDag_Mirabelle_dag,X4 : binDag_Mirabelle_dag] : ((((binDag_Mirabelle_Dag @ X2 @ X1 @ X0 @ X4)) != $true) | (((binDag786255756subdag @ X4 @ X3)) != $true) | ? [X5 : simpl_ref] : (((binDag_Mirabelle_Dag @ X5 @ X1 @ X0 @ X3)) = $true))),
% 0.48/0.45 inference(rectify,[],[f1021])).
% 0.48/0.45 thf(f1148,plain,(
% 0.48/0.45 ! [X0 : (simpl_ref > simpl_ref),X1 : (simpl_ref > simpl_ref),X2 : simpl_ref,X3 : binDag_Mirabelle_dag,X4 : binDag_Mirabelle_dag] : ((((binDag_Mirabelle_Dag @ X2 @ X1 @ X0 @ X4)) != $true) | (((binDag786255756subdag @ X4 @ X3)) != $true) | (((binDag_Mirabelle_Dag @ (sK14 @ X3 @ X1 @ X0) @ X1 @ X0 @ X3)) = $true))),
% 0.48/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X2,sK2 @ X0 @ X1)],[f1147])).
% 0.48/0.45 thf(f1427,plain,(
% 0.48/0.45 ( ! [X2 : simpl_ref,X3 : binDag_Mirabelle_dag,X0 : (simpl_ref > simpl_ref),X1 : (simpl_ref > simpl_ref),X4 : binDag_Mirabelle_dag] : ((((binDag_Mirabelle_Dag @ (sK14 @ X3 @ X1 @ X0) @ X1 @ X0 @ X3)) = $true) | (((binDag786255756subdag @ X4 @ X3)) != $true) | (((binDag_Mirabelle_Dag @ X2 @ X1 @ X0 @ X4)) != $true)) )),
% 0.48/0.45 inference(cnf_transformation,[],[f1148])).
% 0.48/0.45 thf(f1435,plain,(
% 0.48/0.45 (((binDag_Mirabelle_Dag @ (r @ p) @ l @ r @ t)) = $true)),
% 0.48/0.45 inference(cnf_transformation,[],[f512])).
% 0.48/0.45 thf(f1498,plain,(
% 0.48/0.45 (thesis != $true)),
% 0.48/0.45 inference(cnf_transformation,[],[f799])).
% 0.48/0.45 thf(f1644,plain,(
% 0.48/0.45 ( ! [X0 : simpl_ref] : ((thesis = $true) | (((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt))) != $true)) )),
% 0.48/0.45 inference(cnf_transformation,[],[f941])).
% 0.48/0.45 thf(f1826,plain,(
% 0.48/0.45 (((binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))) = $true)),
% 0.48/0.45 inference(cnf_transformation,[],[f432])).
% 0.48/0.45 thf(f2103,definition,(
% 0.48/0.45 spl93_3 <=> (((binDag_Mirabelle_Dag @ (r @ p) @ l @ r @ t)) = $true)),
% 0.48/0.45 introduced(definition,[new_symbols(definition,[spl93_3])],[avatar_definition])).
% 0.48/0.45 thf(f2105,plain,(
% 0.48/0.45 (((binDag_Mirabelle_Dag @ (r @ p) @ l @ r @ t)) = $true) | ~spl93_3),
% 0.48/0.45 inference(avatar_component_clause,[],[f2103])).
% 0.48/0.45 thf(f2106,plain,(
% 0.48/0.45 spl93_3),
% 0.48/0.45 inference(avatar_split_clause,[],[f1435,f2103])).
% 0.48/0.45 thf(f2115,definition,(
% 0.48/0.45 spl93_6 <=> (thesis = $true)),
% 0.48/0.45 introduced(definition,[new_symbols(definition,[spl93_6])],[avatar_definition])).
% 0.48/0.45 thf(f2119,definition,(
% 0.48/0.45 spl93_7 <=> ! [X0 : simpl_ref] : (((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt))) != $true)),
% 0.48/0.45 introduced(definition,[new_symbols(definition,[spl93_7])],[avatar_definition])).
% 0.48/0.45 thf(f2120,plain,(
% 0.48/0.45 ( ! [X0 : simpl_ref] : ((((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt))) != $true)) ) | ~spl93_7),
% 0.48/0.45 inference(avatar_component_clause,[],[f2119])).
% 0.48/0.45 thf(f2121,plain,(
% 0.48/0.45 spl93_6 | spl93_7),
% 0.48/0.45 inference(avatar_split_clause,[],[f1644,f2119,f2115])).
% 0.48/0.45 thf(f2158,plain,(
% 0.48/0.45 ~spl93_6),
% 0.48/0.45 inference(avatar_split_clause,[],[f1498,f2115])).
% 0.48/0.45 thf(f2175,definition,(
% 0.48/0.45 spl93_18 <=> (((binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))) = $true)),
% 0.48/0.45 introduced(definition,[new_symbols(definition,[spl93_18])],[avatar_definition])).
% 0.48/0.45 thf(f2177,plain,(
% 0.48/0.45 (((binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))) = $true) | ~spl93_18),
% 0.48/0.45 inference(avatar_component_clause,[],[f2175])).
% 0.48/0.45 thf(f2178,plain,(
% 0.48/0.45 spl93_18),
% 0.48/0.45 inference(avatar_split_clause,[],[f1826,f2175])).
% 0.48/0.45 thf(f2546,plain,(
% 0.48/0.45 ( ! [X0 : binDag_Mirabelle_dag,X1 : simpl_ref] : ((((binDag786255756subdag @ X0 @ (binDag476092410e_Node @ lt @ p @ rt))) != $true) | (((binDag_Mirabelle_Dag @ X1 @ l @ r @ X0)) != $true) | ($true != $true)) ) | ~spl93_7),
% 0.48/0.45 inference(superposition,[],[f2120,f1427])).
% 0.48/0.45 thf(f2552,plain,(
% 0.48/0.45 ( ! [X0 : binDag_Mirabelle_dag,X1 : simpl_ref] : ((((binDag_Mirabelle_Dag @ X1 @ l @ r @ X0)) != $true) | (((binDag786255756subdag @ X0 @ (binDag476092410e_Node @ lt @ p @ rt))) != $true)) ) | ~spl93_7),
% 0.48/0.45 inference(trivial_inequality_removal,[],[f2546])).
% 0.48/0.45 thf(f2675,plain,(
% 0.48/0.45 (((binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))) != $true) | ($true != $true) | (~spl93_3 | ~spl93_7)),
% 0.48/0.45 inference(superposition,[],[f2552,f2105])).
% 0.48/0.45 thf(f2685,plain,(
% 0.48/0.45 (((binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))) != $true) | (~spl93_3 | ~spl93_7)),
% 0.48/0.45 inference(trivial_inequality_removal,[],[f2675])).
% 0.48/0.45 thf(f2687,plain,(
% 0.48/0.45 $false | (~spl93_3 | ~spl93_7 | ~spl93_18)),
% 0.48/0.45 inference(forward_subsumption_resolution,[],[f2685,f2177])).
% 0.48/0.45 thf(f2688,plain,(
% 0.48/0.45 ~spl93_3 | ~spl93_7 | ~spl93_18),
% 0.48/0.45 inference(avatar_contradiction_clause,[],[f2687])).
% 0.48/0.45 cnf(s3, plain, spl93_3, inference(sat_conversion,[],[f2106])).
% 0.48/0.45 cnf(s5, plain, spl93_6 | spl93_7, inference(sat_conversion,[],[f2121])).
% 0.48/0.45 cnf(s15, plain, ~spl93_6, inference(sat_conversion,[],[f2158])).
% 0.48/0.45 cnf(s19, plain, spl93_18, inference(sat_conversion,[],[f2178])).
% 0.48/0.45 cnf(s39, plain, ~spl93_3 | ~spl93_7 | ~spl93_18, inference(sat_conversion,[],[f2688])).
% 0.48/0.45 cnf(s50, plain, spl93_7, inference(rat,[],[s5,s15])).
% 0.48/0.45 cnf(s51, plain, ~spl93_3, inference(rat,[],[s39,s19,s50])).
% 0.48/0.45 cnf(s52, plain, $false, inference(rat,[],[s3,s51])).
% 0.48/0.45 thf(f2689,plain,(
% 0.48/0.45 $false),
% 0.48/0.45 inference(avatar_sat_refutation,[],[s52])).
% 0.48/0.45 % SZS output end Proof for theBenchmark
% 0.48/0.45 % (416197)------------------------------
% 0.48/0.45 % (416197)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.48/0.45 % (416197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.48/0.45 % (416197)CaDiCaL version: 2.1.3
% 0.48/0.45 % (416197)Termination reason: Refutation
% 0.48/0.45 % (416197)Time elapsed: 0.106 s
% 0.48/0.45 % (416197)Peak memory usage: 15 MB
% 0.48/0.45 % (416197)Instructions burned: 209 (million)
% 0.48/0.45 % (416174)Success in time 0.162 s
% 0.48/0.45 % Vampire exiting
%------------------------------------------------------------------------------