%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM169^1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 0.54s 0.43s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM169^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n018.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 17:50:27 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.23/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.54/0.41 % (415440)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.54/0.41 % (415445)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3208881736:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.54/0.41 % (415451)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.54/0.41 % (415451)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
% 0.54/0.41 % (415446)lrs+10_16_si=on:nwc=1.5:random_seed=173566544:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.54/0.41 % (415447)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2190316781:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.54/0.41 % (415449)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=684710275:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.54/0.41 % (415448)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=1932427003: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)
% 0.54/0.41 % (415450)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3474506181:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.54/0.41 % (415451)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=3984733605:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.54/0.41 % (415447)Instruction limit reached!
% 0.54/0.41 % (415447)------------------------------
% 0.54/0.41 % (415447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.41 % (415447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.41 % (415447)CaDiCaL version: 2.1.3
% 0.54/0.41 % (415447)Termination reason: Instruction limit
% 0.54/0.41 % (415447)Termination phase: shuffling
% 0.54/0.41 % (415447)Time elapsed: 0.002 s
% 0.54/0.41 % (415447)Peak memory usage: 10 MB
% 0.54/0.41 % (415447)Instructions burned: 3 (million)
% 0.54/0.41 % (415446)Instruction limit reached!
% 0.54/0.41 % (415446)------------------------------
% 0.54/0.41 % (415446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.41 % (415446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.41 % (415446)CaDiCaL version: 2.1.3
% 0.54/0.41 % (415446)Termination reason: Instruction limit
% 0.54/0.41 % (415446)Termination phase: shuffling
% 0.54/0.41 % (415446)Time elapsed: 0.010 s
% 0.54/0.41 % (415446)Peak memory usage: 10 MB
% 0.54/0.41 % (415446)Instructions burned: 18 (million)
% 0.54/0.41 % (415449)Instruction limit reached!
% 0.54/0.41 % (415449)------------------------------
% 0.54/0.41 % (415449)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.41 % (415449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.41 % (415449)CaDiCaL version: 2.1.3
% 0.54/0.41 % (415449)Termination reason: Instruction limit
% 0.54/0.41 % (415449)Termination phase: Property scanning
% 0.54/0.41 % (415449)Time elapsed: 0.012 s
% 0.54/0.41 % (415449)Peak memory usage: 10 MB
% 0.54/0.41 % (415449)Instructions burned: 25 (million)
% 0.54/0.41 % (415445)Instruction limit reached!
% 0.54/0.41 % (415445)------------------------------
% 0.54/0.41 % (415445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.41 % (415445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.41 % (415445)CaDiCaL version: 2.1.3
% 0.54/0.41 % (415445)Termination reason: Instruction limit
% 0.54/0.41 % (415445)Termination phase: Property scanning
% 0.54/0.41 % (415445)Time elapsed: 0.022 s
% 0.54/0.41 % (415445)Peak memory usage: 12 MB
% 0.54/0.41 % (415445)Instructions burned: 88 (million)
% 0.54/0.41 % (415459)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3631439624:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.54/0.41 % (415462)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=3535852518:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.54/0.41 % (415459)Instruction limit reached!
% 0.54/0.43 % (415459)------------------------------
% 0.54/0.43 % (415459)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415459)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415459)Termination reason: Instruction limit
% 0.54/0.43 % (415459)Termination phase: shuffling
% 0.54/0.43 % (415459)Time elapsed: 0.002 s
% 0.54/0.43 % (415459)Peak memory usage: 10 MB
% 0.54/0.43 % (415459)Instructions burned: 3 (million)
% 0.54/0.43 % (415461)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.54/0.43 % (415462)Instruction limit reached!
% 0.54/0.43 % (415462)------------------------------
% 0.54/0.43 % (415462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415462)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415462)Termination reason: Instruction limit
% 0.54/0.43 % (415462)Termination phase: shuffling
% 0.54/0.43 % (415462)Time elapsed: 0.004 s
% 0.54/0.43 % (415462)Peak memory usage: 10 MB
% 0.54/0.43 % (415462)Instructions burned: 14 (million)
% 0.54/0.43 % (415460)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=2836792460:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.54/0.43 % (415461)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2143840848:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.54/0.43 % (415460)Instruction limit reached!
% 0.54/0.43 % (415460)------------------------------
% 0.54/0.43 % (415460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415460)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415460)Termination reason: Instruction limit
% 0.54/0.43 % (415460)Termination phase: shuffling
% 0.54/0.43 % (415460)Time elapsed: 0.003 s
% 0.54/0.43 % (415460)Peak memory usage: 10 MB
% 0.54/0.43 % (415460)Instructions burned: 5 (million)
% 0.54/0.43 % (415461)Instruction limit reached!
% 0.54/0.43 % (415461)------------------------------
% 0.54/0.43 % (415461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415461)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415461)Termination reason: Instruction limit
% 0.54/0.43 % (415461)Termination phase: shuffling
% 0.54/0.43 % (415461)Time elapsed: 0.004 s
% 0.54/0.43 % (415461)Peak memory usage: 10 MB
% 0.54/0.43 % (415461)Instructions burned: 8 (million)
% 0.54/0.43 % (415450)Instruction limit reached!
% 0.54/0.43 % (415450)------------------------------
% 0.54/0.43 % (415450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415450)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415450)Termination reason: Instruction limit
% 0.54/0.43 % (415450)Termination phase: Function definition elimination
% 0.54/0.43 % (415450)Time elapsed: 0.037 s
% 0.54/0.43 % (415450)Peak memory usage: 12 MB
% 0.54/0.43 % (415450)Instructions burned: 77 (million)
% 0.54/0.43 % (415466)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=260766143:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.54/0.43 % (415465)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
% 0.54/0.43 % (415465)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.54/0.43 % (415465)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2166833196:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.54/0.43 % (415470)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.54/0.43 % (415469)lrs+10_1_si=on:cs=on:random_seed=1567121255:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.54/0.43 % (415470)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=938069337:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.54/0.43 % (415469)Instruction limit reached!
% 0.54/0.43 % (415469)------------------------------
% 0.54/0.43 % (415469)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415469)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415469)Termination reason: Instruction limit
% 0.54/0.43 % (415469)Termination phase: shuffling
% 0.54/0.43 % (415469)Time elapsed: 0.004 s
% 0.54/0.43 % (415469)Peak memory usage: 10 MB
% 0.54/0.43 % (415469)Instructions burned: 8 (million)
% 0.54/0.43 % (415470)Instruction limit reached!
% 0.54/0.43 % (415470)------------------------------
% 0.54/0.43 % (415470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415470)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415470)Termination reason: Instruction limit
% 0.54/0.43 % (415470)Termination phase: shuffling
% 0.54/0.43 % (415470)Time elapsed: 0.002 s
% 0.54/0.43 % (415470)Peak memory usage: 10 MB
% 0.54/0.43 % (415470)Instructions burned: 3 (million)
% 0.54/0.43 % (415471)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=27183759:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.54/0.43 % (415465)Instruction limit reached!
% 0.54/0.43 % (415465)------------------------------
% 0.54/0.43 % (415465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415465)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415465)Termination reason: Instruction limit
% 0.54/0.43 % (415465)Termination phase: shuffling
% 0.54/0.43 % (415465)Time elapsed: 0.013 s
% 0.54/0.43 % (415465)Peak memory usage: 10 MB
% 0.54/0.43 % (415465)Instructions burned: 28 (million)
% 0.54/0.43 % (415466)Instruction limit reached!
% 0.54/0.43 % (415466)------------------------------
% 0.54/0.43 % (415466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415466)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415466)Termination reason: Instruction limit
% 0.54/0.43 % (415466)Termination phase: Property scanning
% 0.54/0.43 % (415466)Time elapsed: 0.021 s
% 0.54/0.43 % (415466)Peak memory usage: 11 MB
% 0.54/0.43 % (415466)Instructions burned: 90 (million)
% 0.54/0.43 % (415480)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=664364082:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.54/0.43 % (415476)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1954510047:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.54/0.43 % (415478)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3305267678:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.54/0.43 % (415471)Instruction limit reached!
% 0.54/0.43 % (415471)------------------------------
% 0.54/0.43 % (415471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415471)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415471)Termination reason: Instruction limit
% 0.54/0.43 % (415471)Termination phase: Equality resolution with deletion
% 0.54/0.43 % (415471)Time elapsed: 0.019 s
% 0.54/0.43 % (415471)Peak memory usage: 11 MB
% 0.54/0.43 % (415471)Instructions burned: 40 (million)
% 0.54/0.43 % (415479)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=3169466605:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.54/0.43 % (415451)Instruction limit reached!
% 0.54/0.43 % (415451)------------------------------
% 0.54/0.43 % (415451)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415451)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415451)Termination reason: Instruction limit
% 0.54/0.43 % (415451)Termination phase: Saturation
% 0.54/0.43 % (415451)Time elapsed: 0.081 s
% 0.54/0.43 % (415451)Peak memory usage: 14 MB
% 0.54/0.43 % (415451)Instructions burned: 158 (million)
% 0.54/0.43 % (415479)Instruction limit reached!
% 0.54/0.43 % (415479)------------------------------
% 0.54/0.43 % (415479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415479)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415479)Termination reason: Instruction limit
% 0.54/0.43 % (415479)Termination phase: shuffling
% 0.54/0.43 % (415479)Time elapsed: 0.008 s
% 0.54/0.43 % (415479)Peak memory usage: 10 MB
% 0.54/0.43 % (415479)Instructions burned: 15 (million)
% 0.54/0.43 % (415478)Instruction limit reached!
% 0.54/0.43 % (415478)------------------------------
% 0.54/0.43 % (415478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415478)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415478)Termination reason: Instruction limit
% 0.54/0.43 % (415478)Termination phase: Property scanning
% 0.54/0.43 % (415478)Time elapsed: 0.012 s
% 0.54/0.43 % (415478)Peak memory usage: 10 MB
% 0.54/0.43 % (415478)Instructions burned: 25 (million)
% 0.54/0.43 % (415485)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2090740178:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.54/0.43 % (415486)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3662301866: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)
% 0.54/0.43 % (415476) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-415440-415476"...
% 0.54/0.43 % (415448) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-415440-415448"...
% 0.54/0.43 % (415487)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1250704739:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.54/0.43 % (415485)Instruction limit reached!
% 0.54/0.43 % (415485)------------------------------
% 0.54/0.43 % (415485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415485)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415485)Termination reason: Instruction limit
% 0.54/0.43 % (415485)Termination phase: shuffling
% 0.54/0.43 % (415485)Time elapsed: 0.008 s
% 0.54/0.43 % (415485)Peak memory usage: 10 MB
% 0.54/0.43 % (415485)Instructions burned: 16 (million)
% 0.54/0.43 % (415476)...printing done.
% 0.54/0.43 % (415486)Instruction limit reached!
% 0.54/0.43 % (415486)------------------------------
% 0.54/0.43 % (415486)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.43 % (415486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.43 % (415486)CaDiCaL version: 2.1.3
% 0.54/0.43 % (415486)Termination reason: Instruction limit
% 0.54/0.43 % (415486)Termination phase: shuffling
% 0.54/0.43 % (415486)Time elapsed: 0.003 s
% 0.54/0.43 % (415486)Peak memory usage: 10 MB
% 0.54/0.43 % (415486)Instructions burned: 6 (million)
% 0.54/0.43 % (415476)Refutation found. Thanks to Tanya!
% 0.54/0.43 % SZS status Theorem for theBenchmark
% 0.54/0.43 % SZS output start Proof for theBenchmark
% 0.54/0.43 thf(type_def_5, type, binDag_Mirabelle_dag: $tType).
% 0.54/0.43 thf(type_def_6, type, simpl_ref: $tType).
% 0.54/0.43 thf(type_def_7, type, list: $tType > $tType).
% 0.54/0.43 thf(type_def_8, type, set: $tType > $tType).
% 0.54/0.43 thf(type_def_9, type, nat: $tType).
% 0.54/0.43 thf(type_def_10, type, itself: $tType > $tType).
% 0.54/0.43 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.54/0.43 thf(func_def_0, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_1, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_2, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_3, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_4, type, no_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_5, type, no_top: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_6, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_7, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_8, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_9, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_10, type, dense_order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_11, type, linordered_idom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_12, type, linordered_field: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_13, type, dense_linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_14, type, linordered_semidom: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_15, type, canoni770627133id_add: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_16, type, condit1656338222tinuum: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_17, type, condit1037483654norder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.54/0.43 thf(func_def_18, type, binDag_Mirabelle_DAG: (binDag_Mirabelle_dag > $o)).
% 0.54/0.43 thf(func_def_19, type, binDag_Mirabelle_Dag: (simpl_ref > (simpl_ref > simpl_ref) > (simpl_ref > simpl_ref) > binDag_Mirabelle_dag > $o)).
% 0.54/0.43 thf(func_def_20, type, binDag476092410e_Node: (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 0.54/0.43 thf(func_def_21, type, binDag_Mirabelle_Tip: binDag_Mirabelle_dag).
% 0.54/0.43 thf(func_def_22, type, binDag1297733282se_dag: !>[X0: $tType]:((X0 > (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0) > binDag_Mirabelle_dag > X0))).
% 0.54/0.43 thf(func_def_23, type, binDag1442713106ec_dag: !>[X0: $tType]:((X0 > (binDag_Mirabelle_dag > simpl_ref > binDag_Mirabelle_dag > X0 > X0 > X0) > binDag_Mirabelle_dag > X0))).
% 0.54/0.43 thf(func_def_24, type, binDag1924123185ze_dag: (binDag_Mirabelle_dag > nat)).
% 0.54/0.43 thf(func_def_25, type, binDag1380252983set_of: (binDag_Mirabelle_dag > set @ simpl_ref)).
% 0.54/0.43 thf(func_def_26, type, binDag786255756subdag: (binDag_Mirabelle_dag > binDag_Mirabelle_dag > $o)).
% 0.54/0.43 thf(func_def_27, type, fun_upd: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0 > X1 > X0 > X1))).
% 0.54/0.43 thf(func_def_28, type, override_on: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > set @ X0 > X0 > X1))).
% 0.54/0.43 thf(func_def_29, type, sgn_sgn: !>[X0: $tType]:((X0 > X0))).
% 0.54/0.43 thf(func_def_30, type, zero_zero: !>[X0: $tType]:(X0)).
% 0.54/0.43 thf(func_def_31, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.54/0.43 thf(func_def_32, type, set2: !>[X0: $tType]:((list @ X0 > set @ X0))).
% 0.54/0.43 thf(func_def_33, type, size_size: !>[X0: $tType]:((X0 > nat))).
% 0.54/0.43 thf(func_def_34, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.54/0.43 thf(func_def_35, type, ord_less: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.54/0.43 thf(func_def_36, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.54/0.43 thf(func_def_37, type, order_strict_mono: !>[X0: $tType, X1: $tType]:(((X0 > X1) > $o))).
% 0.54/0.43 thf(func_def_38, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.54/0.43 thf(func_def_39, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.54/0.43 thf(func_def_40, type, is_empty: !>[X0: $tType]:((set @ X0 > $o))).
% 0.54/0.43 thf(func_def_41, type, simpl_Null: simpl_ref).
% 0.54/0.43 thf(func_def_42, type, simpl_new: (set @ simpl_ref > simpl_ref)).
% 0.54/0.43 thf(func_def_43, type, chain_subset: !>[X0: $tType]:((set @ set @ X0 > $o))).
% 0.54/0.43 thf(func_def_44, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.54/0.43 thf(func_def_45, type, l: (simpl_ref > simpl_ref)).
% 0.54/0.43 thf(func_def_46, type, lt: binDag_Mirabelle_dag).
% 0.54/0.43 thf(func_def_47, type, p: simpl_ref).
% 0.54/0.43 thf(func_def_48, type, r: (simpl_ref > simpl_ref)).
% 0.54/0.43 thf(func_def_49, type, rt: binDag_Mirabelle_dag).
% 0.54/0.43 thf(func_def_50, type, t: binDag_Mirabelle_dag).
% 0.54/0.43 thf(func_def_51, type, thesis: $o).
% 0.54/0.43 thf(func_def_55, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.54/0.43 thf(func_def_56, type, vOR: ($o > $o > $o)).
% 0.54/0.43 thf(func_def_57, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.54/0.43 thf(func_def_58, type, vAND: ($o > $o > $o)).
% 0.54/0.43 thf(func_def_59, type, vNOT: ($o > $o)).
% 0.54/0.43 thf(func_def_60, type, db0: !>[X0: $tType]:(X0)).
% 0.54/0.43 thf(func_def_61, type, db1: !>[X0: $tType]:(X0)).
% 0.54/0.43 thf(func_def_62, type, db2: !>[X0: $tType]:(X0)).
% 0.54/0.43 thf(func_def_63, type, db3: !>[X0: $tType]:(X0)).
% 0.54/0.43 thf(func_def_64, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.54/0.43 thf(func_def_65, type, vIMP: ($o > $o > $o)).
% 0.54/0.43 thf(func_def_66, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.54/0.43 thf(func_def_67, type, sK0: ((simpl_ref > simpl_ref) > binDag_Mirabelle_dag > (simpl_ref > simpl_ref) > simpl_ref)).
% 0.54/0.43 thf(func_def_68, type, sK1: (binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 0.54/0.44 thf(func_def_69, type, sK2: (binDag_Mirabelle_dag > simpl_ref)).
% 0.54/0.44 thf(func_def_70, type, sK3: (binDag_Mirabelle_dag > binDag_Mirabelle_dag)).
% 0.54/0.44 thf(func_def_71, type, sK4: ((simpl_ref > simpl_ref) > simpl_ref > (simpl_ref > simpl_ref) > binDag_Mirabelle_dag)).
% 0.54/0.44 thf(func_def_72, type, sK5: ((binDag_Mirabelle_dag > $o) > simpl_ref)).
% 0.54/0.44 thf(func_def_73, type, sK6: ((binDag_Mirabelle_dag > $o) > binDag_Mirabelle_dag)).
% 0.54/0.44 thf(func_def_74, type, sK7: ((binDag_Mirabelle_dag > $o) > binDag_Mirabelle_dag)).
% 0.54/0.44 thf(func_def_75, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.54/0.44 thf(f1,axiom,(
% 0.54/0.44 (binDag_Mirabelle_Dag @ (l @ p) @ l @ r @ t)),
% 0.54/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms)).
% 0.54/0.44 thf(f3,axiom,(
% 0.54/0.44 (binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))),
% 0.54/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_subdag)).
% 0.54/0.44 thf(f9,axiom,(
% 0.54/0.44 ! [X2 : (simpl_ref > simpl_ref),X4 : binDag_Mirabelle_dag,X0 : simpl_ref,X3 : binDag_Mirabelle_dag,X1 : (simpl_ref > simpl_ref)] : ((binDag_Mirabelle_Dag @ X0 @ X1 @ X2 @ X3) => ((binDag786255756subdag @ X3 @ X4) => ? [X5 : simpl_ref] : (binDag_Mirabelle_Dag @ X5 @ X1 @ X2 @ X4)))),
% 0.54/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_Dag__subdag)).
% 0.54/0.44 thf(f290,axiom,(
% 0.54/0.44 ! [X0 : simpl_ref] : ((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt)) => thesis)),
% 0.54/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.54/0.44 thf(f291,conjecture,(
% 0.54/0.44 thesis),
% 0.54/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 0.54/0.44 thf(f292,negated_conjecture,(
% 0.54/0.44 ~thesis),
% 0.54/0.44 inference(negated_conjecture,[status(cth)],[f291])).
% 0.54/0.44 thf(f399,plain,(
% 0.54/0.44 ~thesis),
% 0.54/0.44 inference(rectify,[],[f292])).
% 0.54/0.44 thf(f400,plain,(
% 0.54/0.44 ~ (thesis = $true)),
% 0.54/0.44 inference(fool_elimination,[],[f399])).
% 0.54/0.44 thf(f448,plain,(
% 0.54/0.44 ! [X0 : (simpl_ref > simpl_ref),X1 : binDag_Mirabelle_dag,X2 : simpl_ref,X3 : binDag_Mirabelle_dag,X4 : (simpl_ref > simpl_ref)] : ((binDag_Mirabelle_Dag @ X2 @ X4 @ X0 @ X3) => ((binDag786255756subdag @ X3 @ X1) => ? [X5 : simpl_ref] : (binDag_Mirabelle_Dag @ X5 @ X4 @ X0 @ X1)))),
% 0.54/0.44 inference(rectify,[],[f9])).
% 0.54/0.44 thf(f449,plain,(
% 0.54/0.44 ! [X1 : binDag_Mirabelle_dag,X3 : binDag_Mirabelle_dag,X2 : simpl_ref,X4 : (simpl_ref > simpl_ref),X0 : (simpl_ref > simpl_ref)] : ((((binDag_Mirabelle_Dag @ X2 @ X4 @ X0 @ X3)) = $true) => ((((binDag786255756subdag @ X3 @ X1)) = $true) => ? [X5 : simpl_ref] : ($true = ((binDag_Mirabelle_Dag @ X5 @ X4 @ X0 @ X1)))))),
% 0.54/0.44 inference(fool_elimination,[],[f448])).
% 0.54/0.44 thf(f501,plain,(
% 0.54/0.44 (binDag_Mirabelle_Dag @ (l @ p) @ l @ r @ t)),
% 0.54/0.44 inference(rectify,[],[f1])).
% 0.54/0.44 thf(f502,plain,(
% 0.54/0.44 (((binDag_Mirabelle_Dag @ (l @ p) @ l @ r @ t)) = $true)),
% 0.54/0.44 inference(fool_elimination,[],[f501])).
% 0.54/0.44 thf(f719,plain,(
% 0.54/0.44 ! [X0 : simpl_ref] : ((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt)) => thesis)),
% 0.54/0.44 inference(rectify,[],[f290])).
% 0.54/0.44 thf(f720,plain,(
% 0.54/0.44 ! [X0 : simpl_ref] : ((((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt))) = $true) => (thesis = $true))),
% 0.54/0.44 inference(fool_elimination,[],[f719])).
% 0.54/0.44 thf(f773,plain,(
% 0.54/0.44 (binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))),
% 0.54/0.44 inference(rectify,[],[f3])).
% 0.54/0.44 thf(f774,plain,(
% 0.54/0.44 (((binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))) = $true)),
% 0.54/0.44 inference(fool_elimination,[],[f773])).
% 0.54/0.44 thf(f825,plain,(
% 0.54/0.44 (thesis != $true)),
% 0.54/0.44 inference(flattening,[],[f400])).
% 0.54/0.44 thf(f836,plain,(
% 0.54/0.44 ! [X0 : simpl_ref] : ((thesis = $true) | (((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt))) != $true))),
% 0.54/0.44 inference(ennf_transformation,[],[f720])).
% 0.54/0.44 thf(f851,plain,(
% 0.54/0.44 ! [X1 : binDag_Mirabelle_dag,X3 : binDag_Mirabelle_dag,X2 : simpl_ref,X4 : (simpl_ref > simpl_ref),X0 : (simpl_ref > simpl_ref)] : ((? [X5 : simpl_ref] : ($true = ((binDag_Mirabelle_Dag @ X5 @ X4 @ X0 @ X1))) | (((binDag786255756subdag @ X3 @ X1)) != $true)) | (((binDag_Mirabelle_Dag @ X2 @ X4 @ X0 @ X3)) != $true))),
% 0.54/0.44 inference(ennf_transformation,[],[f449])).
% 0.54/0.44 thf(f852,plain,(
% 0.54/0.44 ! [X2 : simpl_ref,X3 : binDag_Mirabelle_dag,X4 : (simpl_ref > simpl_ref),X1 : binDag_Mirabelle_dag,X0 : (simpl_ref > simpl_ref)] : (? [X5 : simpl_ref] : ($true = ((binDag_Mirabelle_Dag @ X5 @ X4 @ X0 @ X1))) | (((binDag_Mirabelle_Dag @ X2 @ X4 @ X0 @ X3)) != $true) | (((binDag786255756subdag @ X3 @ X1)) != $true))),
% 0.54/0.44 inference(flattening,[],[f851])).
% 0.54/0.44 thf(f855,plain,(
% 0.54/0.44 ! [X0 : simpl_ref,X1 : binDag_Mirabelle_dag,X2 : (simpl_ref > simpl_ref),X3 : binDag_Mirabelle_dag,X4 : (simpl_ref > simpl_ref)] : (? [X5 : simpl_ref] : (((binDag_Mirabelle_Dag @ X5 @ X2 @ X4 @ X3)) = $true) | (((binDag_Mirabelle_Dag @ X0 @ X2 @ X4 @ X1)) != $true) | (((binDag786255756subdag @ X1 @ X3)) != $true))),
% 0.54/0.44 inference(rectify,[],[f852])).
% 0.54/0.44 thf(f856,plain,(
% 0.54/0.44 ! [X0 : simpl_ref,X1 : binDag_Mirabelle_dag,X2 : (simpl_ref > simpl_ref),X3 : binDag_Mirabelle_dag,X4 : (simpl_ref > simpl_ref)] : ((((binDag_Mirabelle_Dag @ (sK0 @ X4 @ X3 @ X2) @ X2 @ X4 @ X3)) = $true) | (((binDag_Mirabelle_Dag @ X0 @ X2 @ X4 @ X1)) != $true) | (((binDag786255756subdag @ X1 @ X3)) != $true))),
% 0.54/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X5,sK0 @ X4 @ X3 @ X2)],[f855])).
% 0.54/0.44 thf(f878,plain,(
% 0.54/0.44 ( ! [X2 : (simpl_ref > simpl_ref),X3 : binDag_Mirabelle_dag,X0 : simpl_ref,X1 : binDag_Mirabelle_dag,X4 : (simpl_ref > simpl_ref)] : ((((binDag_Mirabelle_Dag @ (sK0 @ X4 @ X3 @ X2) @ X2 @ X4 @ X3)) = $true) | (((binDag786255756subdag @ X1 @ X3)) != $true) | (((binDag_Mirabelle_Dag @ X0 @ X2 @ X4 @ X1)) != $true)) )),
% 0.54/0.44 inference(cnf_transformation,[],[f856])).
% 0.54/0.44 thf(f890,plain,(
% 0.54/0.44 ( ! [X0 : simpl_ref] : ((thesis = $true) | (((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt))) != $true)) )),
% 0.54/0.44 inference(cnf_transformation,[],[f836])).
% 0.54/0.44 thf(f898,plain,(
% 0.54/0.44 (((binDag_Mirabelle_Dag @ (l @ p) @ l @ r @ t)) = $true)),
% 0.54/0.44 inference(cnf_transformation,[],[f502])).
% 0.54/0.44 thf(f908,plain,(
% 0.54/0.44 (thesis != $true)),
% 0.54/0.44 inference(cnf_transformation,[],[f825])).
% 0.54/0.44 thf(f909,plain,(
% 0.54/0.44 (((binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))) = $true)),
% 0.54/0.44 inference(cnf_transformation,[],[f774])).
% 0.54/0.44 thf(f913,definition,(
% 0.54/0.44 spl9_1 <=> (thesis = $true)),
% 0.54/0.44 introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition])).
% 0.54/0.44 thf(f917,definition,(
% 0.54/0.44 spl9_2 <=> ! [X0 : simpl_ref] : (((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt))) != $true)),
% 0.54/0.44 introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition])).
% 0.54/0.44 thf(f918,plain,(
% 0.54/0.44 ( ! [X0 : simpl_ref] : ((((binDag_Mirabelle_Dag @ X0 @ l @ r @ (binDag476092410e_Node @ lt @ p @ rt))) != $true)) ) | ~spl9_2),
% 0.54/0.44 inference(avatar_component_clause,[],[f917])).
% 0.54/0.44 thf(f919,plain,(
% 0.54/0.44 spl9_1 | spl9_2),
% 0.54/0.44 inference(avatar_split_clause,[],[f890,f917,f913])).
% 0.54/0.44 thf(f920,plain,(
% 0.54/0.44 ~spl9_1),
% 0.54/0.44 inference(avatar_split_clause,[],[f908,f913])).
% 0.54/0.44 thf(f923,plain,(
% 0.54/0.44 ( ! [X0 : binDag_Mirabelle_dag,X1 : simpl_ref] : (($true != $true) | (((binDag786255756subdag @ X0 @ (binDag476092410e_Node @ lt @ p @ rt))) != $true) | (((binDag_Mirabelle_Dag @ X1 @ l @ r @ X0)) != $true)) ) | ~spl9_2),
% 0.54/0.44 inference(superposition,[],[f918,f878])).
% 0.54/0.44 thf(f927,plain,(
% 0.54/0.44 ( ! [X0 : binDag_Mirabelle_dag,X1 : simpl_ref] : ((((binDag_Mirabelle_Dag @ X1 @ l @ r @ X0)) != $true) | (((binDag786255756subdag @ X0 @ (binDag476092410e_Node @ lt @ p @ rt))) != $true)) ) | ~spl9_2),
% 0.54/0.44 inference(trivial_inequality_removal,[],[f923])).
% 0.54/0.44 thf(f998,plain,(
% 0.54/0.44 ($true != $true) | (((binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))) != $true) | ~spl9_2),
% 0.54/0.44 inference(superposition,[],[f927,f898])).
% 0.54/0.44 thf(f1007,plain,(
% 0.54/0.44 (((binDag786255756subdag @ t @ (binDag476092410e_Node @ lt @ p @ rt))) != $true) | ~spl9_2),
% 0.54/0.44 inference(trivial_inequality_removal,[],[f998])).
% 0.54/0.44 thf(f1018,plain,(
% 0.54/0.44 $false | ~spl9_2),
% 0.54/0.44 inference(forward_subsumption_resolution,[],[f1007,f909])).
% 0.54/0.44 thf(f1019,plain,(
% 0.54/0.44 ~spl9_2),
% 0.54/0.44 inference(avatar_contradiction_clause,[],[f1018])).
% 0.54/0.44 cnf(s1, plain, spl9_1 | spl9_2, inference(sat_conversion,[],[f919])).
% 0.54/0.44 cnf(s2, plain, ~spl9_1, inference(sat_conversion,[],[f920])).
% 0.54/0.44 cnf(s3, plain, ~spl9_2, inference(sat_conversion,[],[f1019])).
% 0.54/0.44 cnf(s4, plain, $false, inference(rat,[],[s1,s3,s2])).
% 0.54/0.44 thf(f1029,plain,(
% 0.54/0.44 $false),
% 0.54/0.44 inference(avatar_sat_refutation,[],[s4])).
% 0.54/0.44 % SZS output end Proof for theBenchmark
% 0.54/0.44 % (415476)------------------------------
% 0.54/0.44 % (415476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.54/0.44 % (415476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.54/0.44 % (415476)CaDiCaL version: 2.1.3
% 0.54/0.44 % (415476)Termination reason: Refutation
% 0.54/0.44 % (415476)Time elapsed: 0.027 s
% 0.54/0.44 % (415476)Peak memory usage: 14 MB
% 0.54/0.44 % (415476)Instructions burned: 52 (million)
% 0.54/0.44 % (415440)Success in time 0.152 s
% 0.54/0.44 % Vampire exiting
%------------------------------------------------------------------------------