%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP185^2 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:08:43 AM UTC 2026
% Result : Theorem 0.57s 0.41s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP185^2 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.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 20:08:33 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.19/0.28 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
% 0.57/0.41 % (1281971)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.57/0.41 % (1281981)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1452077363:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.57/0.41 % (1281988)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.57/0.41 % (1281988)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
% 0.57/0.41 % (1281982)lrs+10_16_si=on:nwc=1.5:random_seed=902370581:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.57/0.41 % (1281984)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=1407096351: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)
% 0.57/0.41 % (1281983)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1895118166:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.57/0.41 % (1281986)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=253947528:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.57/0.41 % (1281988)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=1297298050:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.57/0.41 % (1281985)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=675570633:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.57/0.41 % (1281983)Instruction limit reached!
% 0.57/0.41 % (1281983)------------------------------
% 0.57/0.41 % (1281983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1281983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1281983)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1281983)Termination reason: Instruction limit
% 0.57/0.41 % (1281983)Termination phase: shuffling
% 0.57/0.41 % (1281983)Time elapsed: 0.003 s
% 0.57/0.41 % (1281983)Peak memory usage: 10 MB
% 0.57/0.41 % (1281983)Instructions burned: 5 (million)
% 0.57/0.41 % (1281982)Instruction limit reached!
% 0.57/0.41 % (1281982)------------------------------
% 0.57/0.41 % (1281982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1281982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1281982)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1281982)Termination reason: Instruction limit
% 0.57/0.41 % (1281982)Termination phase: shuffling
% 0.57/0.41 % (1281982)Time elapsed: 0.009 s
% 0.57/0.41 % (1281982)Peak memory usage: 10 MB
% 0.57/0.41 % (1281982)Instructions burned: 18 (million)
% 0.57/0.41 % (1281981)Instruction limit reached!
% 0.57/0.41 % (1281981)------------------------------
% 0.57/0.41 % (1281981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1281981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1281981)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1281981)Termination reason: Instruction limit
% 0.57/0.41 % (1281981)Termination phase: Property scanning
% 0.57/0.41 % (1281981)Time elapsed: 0.022 s
% 0.57/0.41 % (1281981)Peak memory usage: 12 MB
% 0.57/0.41 % (1281981)Instructions burned: 90 (million)
% 0.57/0.41 % (1281985)Instruction limit reached!
% 0.57/0.41 % (1281985)------------------------------
% 0.57/0.41 % (1281985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1281985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1281985)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1281985)Termination reason: Instruction limit
% 0.57/0.41 % (1281985)Termination phase: Property scanning
% 0.57/0.41 % (1281985)Time elapsed: 0.013 s
% 0.57/0.41 % (1281985)Peak memory usage: 10 MB
% 0.57/0.41 % (1281985)Instructions burned: 25 (million)
% 0.57/0.41 % (1282001)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.57/0.41 % (1282001)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4122785174:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.57/0.41 % (1281999)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3265724708:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.57/0.41 % (1282001)Instruction limit reached!
% 0.57/0.41 % (1282001)------------------------------
% 0.57/0.41 % (1282001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1282001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1282001)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1282001)Termination reason: Instruction limit
% 0.57/0.41 % (1282001)Termination phase: shuffling
% 0.57/0.41 % (1282001)Time elapsed: 0.002 s
% 0.57/0.41 % (1282001)Peak memory usage: 10 MB
% 0.57/0.41 % (1282001)Instructions burned: 10 (million)
% 0.57/0.41 % (1281999)Instruction limit reached!
% 0.57/0.41 % (1281999)------------------------------
% 0.57/0.41 % (1281999)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1281999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1281999)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1281999)Termination reason: Instruction limit
% 0.57/0.41 % (1281999)Termination phase: shuffling
% 0.57/0.41 % (1281999)Time elapsed: 0.002 s
% 0.57/0.41 % (1281999)Peak memory usage: 10 MB
% 0.57/0.41 % (1281999)Instructions burned: 4 (million)
% 0.57/0.41 % (1282000)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3969266392:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.57/0.41 % (1282000)Instruction limit reached!
% 0.57/0.41 % (1282000)------------------------------
% 0.57/0.41 % (1282000)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1282002)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=593299447:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.57/0.41 % (1282000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1282000)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1282000)Termination reason: Instruction limit
% 0.57/0.41 % (1282000)Termination phase: shuffling
% 0.57/0.41 % (1282000)Time elapsed: 0.003 s
% 0.57/0.41 % (1282000)Peak memory usage: 10 MB
% 0.57/0.41 % (1282000)Instructions burned: 5 (million)
% 0.57/0.41 % (1281986)Instruction limit reached!
% 0.57/0.41 % (1281986)------------------------------
% 0.57/0.41 % (1281986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1281986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1281986)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1281986)Termination reason: Instruction limit
% 0.57/0.41 % (1281986)Termination phase: Preprocessing 3
% 0.57/0.41 % (1281986)Time elapsed: 0.035 s
% 0.57/0.41 % (1281986)Peak memory usage: 12 MB
% 0.57/0.41 % (1281986)Instructions burned: 75 (million)
% 0.57/0.41 % (1282008)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
% 0.57/0.41 % (1282008)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.57/0.41 % (1282008)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=905734584:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.57/0.41 % (1282002)Instruction limit reached!
% 0.57/0.41 % (1282002)------------------------------
% 0.57/0.41 % (1282002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1282002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1282002)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1282002)Termination reason: Instruction limit
% 0.57/0.41 % (1282002)Termination phase: shuffling
% 0.57/0.41 % (1282002)Time elapsed: 0.006 s
% 0.57/0.41 % (1282002)Peak memory usage: 10 MB
% 0.57/0.41 % (1282002)Instructions burned: 12 (million)
% 0.57/0.41 % (1282008)Instruction limit reached!
% 0.57/0.41 % (1282008)------------------------------
% 0.57/0.41 % (1282008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1282008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1282008)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1282008)Termination reason: Instruction limit
% 0.57/0.41 % (1282008)Termination phase: shuffling
% 0.57/0.41 % (1282008)Time elapsed: 0.007 s
% 0.57/0.41 % (1282008)Peak memory usage: 10 MB
% 0.57/0.41 % (1282008)Instructions burned: 31 (million)
% 0.57/0.41 % (1282009)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=2685318112:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.57/0.41 % (1282015)lrs+10_1_si=on:cs=on:random_seed=2323816399:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.57/0.41 % (1282017)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.57/0.41 % (1282017)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=1749167506:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.57/0.41 % (1282015)Instruction limit reached!
% 0.57/0.41 % (1282015)------------------------------
% 0.57/0.41 % (1282015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1282015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1282015)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1282015)Termination reason: Instruction limit
% 0.57/0.41 % (1282015)Termination phase: shuffling
% 0.57/0.41 % (1282015)Time elapsed: 0.004 s
% 0.57/0.41 % (1282015)Peak memory usage: 10 MB
% 0.57/0.41 % (1282015)Instructions burned: 8 (million)
% 0.57/0.41 % (1282022)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=751028325:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.57/0.41 % (1282020)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=346612141:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.57/0.41 % (1282017)Instruction limit reached!
% 0.57/0.41 % (1282017)------------------------------
% 0.57/0.41 % (1282017)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1282017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1282017)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1282017)Termination reason: Instruction limit
% 0.57/0.41 % (1282017)Termination phase: shuffling
% 0.57/0.41 % (1282017)Time elapsed: 0.002 s
% 0.57/0.41 % (1282017)Peak memory usage: 10 MB
% 0.57/0.41 % (1282017)Instructions burned: 3 (million)
% 0.57/0.41 % (1281988)Instruction limit reached!
% 0.57/0.41 % (1281988)------------------------------
% 0.57/0.41 % (1281988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1281988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1281988)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1281988)Termination reason: Instruction limit
% 0.57/0.41 % (1281988)Termination phase: Property scanning
% 0.57/0.41 % (1281988)Time elapsed: 0.069 s
% 0.57/0.41 % (1281988)Peak memory usage: 12 MB
% 0.57/0.41 % (1281988)Instructions burned: 158 (million)
% 0.57/0.41 % (1282032)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1401818071:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/25Mi)
% 0.57/0.41 % (1282020)Instruction limit reached!
% 0.57/0.41 % (1282020)------------------------------
% 0.57/0.41 % (1282020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.41 % (1282020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.41 % (1282020)CaDiCaL version: 2.1.3
% 0.57/0.41 % (1282020)Termination reason: Instruction limit
% 0.57/0.41 % (1282020)Termination phase: SInE selection
% 0.57/0.41 % (1282020)Time elapsed: 0.017 s
% 0.57/0.41 % (1282020)Peak memory usage: 11 MB
% 0.57/0.41 % (1282020)Instructions burned: 39 (million)
% 0.57/0.41 % (1282035)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=555049206:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2999 on theBenchmark for (2999ds/14Mi)
% 0.57/0.41 % (1282022) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1281971-1282022"...
% 0.57/0.41 % (1282022)...printing done.
% 0.57/0.41 % (1282022)Refutation found. Thanks to Tanya!
% 0.57/0.41 % SZS status Theorem for theBenchmark
% 0.57/0.41 % SZS output start Proof for theBenchmark
% 0.57/0.41 thf(type_def_5, type, late_residual: $tType).
% 0.57/0.41 thf(type_def_6, type, late_subject: $tType).
% 0.57/0.41 thf(type_def_7, type, late_freeRes: $tType).
% 0.57/0.41 thf(type_def_8, type, noption: $tType > $tType).
% 0.57/0.41 thf(type_def_9, type, name: $tType).
% 0.57/0.41 thf(type_def_10, type, pi: $tType).
% 0.57/0.41 thf(type_def_11, type, set: $tType > $tType).
% 0.57/0.41 thf(type_def_12, type, sTfun: ($tType * $tType) > $tType).
% 0.57/0.41 thf(func_def_0, type, fs_name: !>[X0: $tType]:($o)).
% 0.57/0.41 thf(func_def_1, type, pt_name: !>[X0: $tType]:($o)).
% 0.57/0.41 thf(func_def_2, type, bang: (pi > pi)).
% 0.57/0.41 thf(func_def_3, type, input: (name > name > pi > pi)).
% 0.57/0.41 thf(func_def_4, type, match: (name > name > pi > pi)).
% 0.57/0.41 thf(func_def_5, type, mismatch: (name > name > pi > pi)).
% 0.57/0.41 thf(func_def_6, type, output: (name > name > pi > pi)).
% 0.57/0.41 thf(func_def_7, type, par: (pi > pi > pi)).
% 0.57/0.41 thf(func_def_8, type, piNil: pi).
% 0.57/0.41 thf(func_def_9, type, res: (name > pi > pi)).
% 0.57/0.41 thf(func_def_10, type, sum: (pi > pi > pi)).
% 0.57/0.41 thf(func_def_11, type, tau: (pi > pi)).
% 0.57/0.41 thf(func_def_12, type, pi_rec: !>[X0: $tType]:((X0 > (name > name > pi > X0 > X0) > (pi > X0 > X0) > (name > name > pi > X0 > X0) > (name > name > pi > X0 > X0) > (name > name > pi > X0 > X0) > (pi > pi > X0 > X0 > X0) > (pi > pi > X0 > X0 > X0) > (name > pi > X0 > X0) > (pi > X0 > X0) > pi > X0))).
% 0.57/0.41 thf(func_def_13, type, subs: (pi > name > name > pi)).
% 0.57/0.41 thf(func_def_14, type, subst_name: (name > name > name > name)).
% 0.57/0.41 thf(func_def_15, type, finite_finite: !>[X0: $tType]:((set @ X0 > $o))).
% 0.57/0.41 thf(func_def_16, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.57/0.41 thf(func_def_17, type, late_case_freeRes: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 0.57/0.41 thf(func_def_18, type, late_case_subject: !>[X0: $tType]:(((name > X0) > (name > X0) > late_subject > X0))).
% 0.57/0.41 thf(func_def_19, type, late_bangPred: (pi > pi > $o)).
% 0.57/0.41 thf(func_def_20, type, late_OutputR: (name > name > late_freeRes)).
% 0.57/0.41 thf(func_def_21, type, late_TauR: late_freeRes).
% 0.57/0.41 thf(func_def_22, type, late_freeRes_rec: !>[X0: $tType]:(((name > name > X0) > X0 > late_freeRes > X0))).
% 0.57/0.41 thf(func_def_23, type, late_BoundR: (late_subject > name > pi > late_residual)).
% 0.57/0.41 thf(func_def_24, type, late_FreeR: (late_freeRes > pi > late_residual)).
% 0.57/0.41 thf(func_def_25, type, late_residual_rec: !>[X0: $tType]:(((late_subject > name > pi > X0) > (late_freeRes > pi > X0) > late_residual > X0))).
% 0.57/0.41 thf(func_def_26, type, late_r582136743ec_set: !>[X0: $tType]:(((late_subject > name > pi > X0) > (late_freeRes > pi > X0) > late_residual > X0 > $o))).
% 0.57/0.41 thf(func_def_27, type, late_BoundOutputS: (name > late_subject)).
% 0.57/0.41 thf(func_def_28, type, late_InputS: (name > late_subject)).
% 0.57/0.41 thf(func_def_29, type, late_subject_rec: !>[X0: $tType]:(((name > X0) > (name > X0) > late_subject > X0))).
% 0.57/0.41 thf(func_def_30, type, late_transitions: (pi > late_residual > $o)).
% 0.57/0.41 thf(func_def_31, type, sup_sup: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.57/0.41 thf(func_def_32, type, abs_fun: !>[X0: $tType, X1: $tType]:((X0 > X1 > X0 > noption @ X1))).
% 0.57/0.41 thf(func_def_33, type, fresh: !>[X0: $tType, X1: $tType]:((X0 > X1 > $o))).
% 0.57/0.41 thf(func_def_34, type, supp: !>[X0: $tType, X1: $tType]:((X0 > set @ X1))).
% 0.57/0.41 thf(func_def_35, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.57/0.41 thf(func_def_36, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.57/0.41 thf(func_def_37, type, p: pi).
% 0.57/0.41 thf(func_def_38, type, pqr: pi).
% 0.57/0.41 thf(func_def_39, type, q: pi).
% 0.57/0.41 thf(func_def_40, type, qr: pi).
% 0.57/0.41 thf(func_def_41, type, q2: pi).
% 0.57/0.41 thf(func_def_42, type, r: pi).
% 0.57/0.41 thf(func_def_43, type, r2: pi).
% 0.57/0.41 thf(func_def_44, type, alpha: late_freeRes).
% 0.57/0.41 thf(func_def_45, type, a: name).
% 0.57/0.41 thf(func_def_46, type, x: name).
% 0.57/0.41 thf(func_def_47, type, y: name).
% 0.57/0.41 thf(func_def_51, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.57/0.41 thf(func_def_52, type, vAND: ($o > $o > $o)).
% 0.57/0.41 thf(func_def_53, type, vOR: ($o > $o > $o)).
% 0.57/0.41 thf(func_def_54, type, vNOT: ($o > $o)).
% 0.57/0.41 thf(func_def_55, type, db1: !>[X0: $tType]:(X0)).
% 0.57/0.41 thf(func_def_56, type, db0: !>[X0: $tType]:(X0)).
% 0.57/0.41 thf(func_def_57, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.57/0.41 thf(func_def_58, type, db2: !>[X0: $tType]:(X0)).
% 0.57/0.41 thf(func_def_59, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.57/0.41 thf(func_def_60, type, db4: !>[X0: $tType]:(X0)).
% 0.57/0.41 thf(func_def_61, type, db3: !>[X0: $tType]:(X0)).
% 0.57/0.41 thf(func_def_62, type, sP0: (pi > pi > late_subject > name > pi > $o)).
% 0.57/0.41 thf(func_def_63, type, sP1: (name > pi > late_residual > $o)).
% 0.57/0.41 thf(func_def_64, type, sP2: (late_residual > name > pi > $o)).
% 0.57/0.41 thf(func_def_65, type, sP3: (name > pi > late_subject > name > pi > $o)).
% 0.57/0.41 thf(func_def_66, type, sK4: ((late_freeRes > $o) > name)).
% 0.57/0.41 thf(func_def_67, type, sK5: ((late_freeRes > $o) > name)).
% 0.57/0.41 thf(func_def_68, type, sK6: (pi > pi > late_subject > name > pi > pi)).
% 0.57/0.41 thf(func_def_69, type, sK7: (pi > pi > late_subject > name > pi > name)).
% 0.57/0.41 thf(func_def_70, type, sK8: (pi > pi > late_subject > name > pi > late_subject)).
% 0.57/0.41 thf(func_def_71, type, sK9: (pi > pi > late_subject > name > pi > pi)).
% 0.57/0.41 thf(func_def_72, type, sK10: (pi > pi > late_subject > name > pi > pi)).
% 0.57/0.41 thf(func_def_73, type, sK11: (name > late_subject > pi > pi > pi > pi)).
% 0.57/0.41 thf(func_def_74, type, sK12: (name > late_subject > pi > pi > pi > pi)).
% 0.57/0.41 thf(func_def_75, type, sK13: (name > late_subject > pi > pi > pi > late_subject)).
% 0.57/0.41 thf(func_def_76, type, sK14: (name > late_subject > pi > pi > pi > name)).
% 0.57/0.41 thf(func_def_77, type, sK15: (name > late_subject > pi > pi > pi > pi)).
% 0.57/0.41 thf(func_def_78, type, sK16: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.57/0.41 thf(func_def_79, type, sK17: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.57/0.41 thf(func_def_80, type, sK18: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.57/0.41 thf(func_def_81, type, sK19: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.57/0.41 thf(func_def_82, type, sK20: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.57/0.41 thf(func_def_83, type, sK21: (late_freeRes > name)).
% 0.57/0.41 thf(func_def_84, type, sK22: (late_freeRes > name)).
% 0.57/0.41 thf(func_def_85, type, sK23: (late_residual > name > name > pi > pi)).
% 0.57/0.41 thf(func_def_86, type, sK24: (late_residual > name > name > pi > name)).
% 0.57/0.41 thf(func_def_87, type, sK25: (late_residual > name > name > pi > name)).
% 0.57/0.41 thf(func_def_88, type, sK26: (pi > late_residual > pi)).
% 0.57/0.41 thf(func_def_89, type, sK27: (late_residual > name > pi > name)).
% 0.57/0.41 thf(func_def_90, type, sK28: (late_residual > name > pi > pi)).
% 0.57/0.41 thf(func_def_91, type, sK29: (late_residual > name > pi > name)).
% 0.57/0.41 thf(func_def_92, type, sK30: (late_residual > name > pi > pi)).
% 0.57/0.41 thf(func_def_93, type, sK31: (name > pi > late_residual > late_subject)).
% 0.57/0.41 thf(func_def_94, type, sK32: (name > pi > late_residual > name)).
% 0.57/0.41 thf(func_def_95, type, sK33: (name > pi > late_residual > pi)).
% 0.57/0.41 thf(func_def_96, type, sK34: (name > pi > late_residual > name)).
% 0.57/0.41 thf(func_def_97, type, sK35: (name > pi > late_residual > pi)).
% 0.57/0.41 thf(func_def_98, type, sK36: (pi > name > late_residual > late_freeRes)).
% 0.57/0.41 thf(func_def_99, type, sK37: (pi > name > late_residual > name)).
% 0.57/0.41 thf(func_def_100, type, sK38: (pi > name > late_residual > pi)).
% 0.57/0.41 thf(func_def_101, type, sK39: (pi > name > late_residual > pi)).
% 0.57/0.41 thf(func_def_102, type, sK40: (pi > pi > name > late_freeRes > pi)).
% 0.57/0.41 thf(func_def_103, type, sK41: (pi > pi > name > late_freeRes > pi)).
% 0.57/0.41 thf(func_def_104, type, sK42: (pi > pi > name > late_freeRes > name)).
% 0.57/0.41 thf(func_def_105, type, sK43: (pi > pi > name > late_freeRes > late_freeRes)).
% 0.57/0.41 thf(func_def_106, type, sK44: (name > pi > late_subject > name > pi > late_subject)).
% 0.57/0.41 thf(func_def_107, type, sK45: (name > pi > late_subject > name > pi > name)).
% 0.57/0.41 thf(func_def_108, type, sK46: (name > pi > late_subject > name > pi > pi)).
% 0.57/0.41 thf(func_def_109, type, sK47: (name > pi > late_subject > name > pi > pi)).
% 0.57/0.41 thf(func_def_110, type, sK48: (name > pi > late_subject > name > pi > name)).
% 0.57/0.41 thf(func_def_111, type, sK49: (late_subject > pi > pi > name > name > name)).
% 0.57/0.41 thf(func_def_112, type, sK50: (late_subject > pi > pi > name > name > pi)).
% 0.57/0.41 thf(func_def_113, type, sK51: (late_subject > pi > pi > name > name > name)).
% 0.57/0.41 thf(func_def_114, type, sK52: (late_subject > pi > pi > name > name > pi)).
% 0.57/0.41 thf(func_def_115, type, sK53: (late_subject > name > pi > (pi > $o) > pi > pi)).
% 0.57/0.41 thf(func_def_116, type, sK54: (late_subject > name > pi > (pi > $o) > pi > pi)).
% 0.57/0.41 thf(func_def_117, type, sK55: ((pi > $o) > late_freeRes > name > pi > pi)).
% 0.57/0.41 thf(func_def_118, type, sK56: (pi > late_residual > pi)).
% 0.57/0.41 thf(func_def_119, type, sK57: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.57/0.41 thf(func_def_120, type, sK58: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.57/0.42 thf(func_def_121, type, sK59: !>[X0: $tType]:(((X0 > late_freeRes > $o) > name))).
% 0.57/0.42 thf(func_def_122, type, sK60: !>[X0: $tType]:(((X0 > late_freeRes > $o) > X0))).
% 0.57/0.42 thf(func_def_123, type, sK61: ((late_residual > $o) > late_subject)).
% 0.57/0.42 thf(func_def_124, type, sK62: ((late_residual > $o) > pi)).
% 0.57/0.42 thf(func_def_125, type, sK63: ((late_residual > $o) > name)).
% 0.57/0.42 thf(func_def_126, type, sK64: ((late_residual > $o) > late_freeRes)).
% 0.57/0.42 thf(func_def_127, type, sK65: ((late_residual > $o) > pi)).
% 0.57/0.42 thf(f4,axiom,(
% 0.57/0.42 (fresh @ name @ pi @ y @ r)),
% 0.57/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_cClose2_Ohyps_I9_J)).
% 0.57/0.42 thf(f13,axiom,(
% 0.57/0.42 (late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2))),
% 0.57/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_cClose2_Ohyps_I2_J)).
% 0.57/0.42 thf(f14,axiom,(
% 0.57/0.42 (late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ (par @ p @ q2)))),
% 0.57/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_Aa_060_092_060nu_062y_062_A_092_060prec_062_AP_A_092_060parallel_062_AQ_H_092_060close_062)).
% 0.57/0.42 thf(f25,axiom,(
% 0.57/0.42 ! [X5 : name,X0 : pi,X1 : name,X4 : pi,X6 : pi,X3 : pi,X2 : name] : ((late_transitions @ X0 @ (late_BoundR @ (late_BoundOutputS @ X1) @ X2 @ X3)) => ((late_transitions @ X4 @ (late_BoundR @ (late_InputS @ X1) @ X5 @ X6)) => ((fresh @ name @ pi @ X2 @ X4) => (late_transitions @ (par @ X0 @ X4) @ (late_FreeR @ late_TauR @ (res @ X2 @ (par @ X3 @ (subs @ X6 @ X5 @ X2))))))))),
% 0.57/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_Late__Semantics_OClose2)).
% 0.57/0.42 thf(f275,conjecture,(
% 0.57/0.42 (late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y)))))),
% 0.57/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.57/0.42 thf(f276,negated_conjecture,(
% 0.57/0.42 ~(late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y)))))),
% 0.57/0.42 inference(negated_conjecture,[status(cth)],[f275])).
% 0.57/0.42 thf(f311,plain,(
% 0.57/0.42 (fresh @ name @ pi @ y @ r)),
% 0.57/0.42 inference(rectify,[],[f4])).
% 0.57/0.42 thf(f312,plain,(
% 0.57/0.42 (((fresh @ name @ pi @ y @ r)) = $true)),
% 0.57/0.42 inference(fool_elimination,[],[f311])).
% 0.57/0.42 thf(f388,plain,(
% 0.57/0.42 ! [X0 : name,X1 : pi,X2 : name,X3 : pi,X4 : pi,X5 : pi,X6 : name] : ((late_transitions @ X1 @ (late_BoundR @ (late_BoundOutputS @ X2) @ X6 @ X5)) => ((late_transitions @ X3 @ (late_BoundR @ (late_InputS @ X2) @ X0 @ X4)) => ((fresh @ name @ pi @ X6 @ X3) => (late_transitions @ (par @ X1 @ X3) @ (late_FreeR @ late_TauR @ (res @ X6 @ (par @ X5 @ (subs @ X4 @ X0 @ X6))))))))),
% 0.57/0.42 inference(rectify,[],[f25])).
% 0.57/0.42 thf(f389,plain,(
% 0.57/0.42 ! [X4 : pi,X1 : pi,X5 : pi,X6 : name,X3 : pi,X2 : name,X0 : name] : ((((late_transitions @ X1 @ (late_BoundR @ (late_BoundOutputS @ X2) @ X6 @ X5))) = $true) => (($true = ((late_transitions @ X3 @ (late_BoundR @ (late_InputS @ X2) @ X0 @ X4)))) => ((((fresh @ name @ pi @ X6 @ X3)) = $true) => (((late_transitions @ (par @ X1 @ X3) @ (late_FreeR @ late_TauR @ (res @ X6 @ (par @ X5 @ (subs @ X4 @ X0 @ X6)))))) = $true))))),
% 0.57/0.42 inference(fool_elimination,[],[f388])).
% 0.57/0.42 thf(f419,plain,(
% 0.57/0.42 (late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2))),
% 0.57/0.42 inference(rectify,[],[f13])).
% 0.57/0.42 thf(f420,plain,(
% 0.57/0.42 (((late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2))) = $true)),
% 0.57/0.42 inference(fool_elimination,[],[f419])).
% 0.57/0.42 thf(f423,plain,(
% 0.57/0.42 (late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ (par @ p @ q2)))),
% 0.57/0.42 inference(rectify,[],[f14])).
% 0.57/0.42 thf(f424,plain,(
% 0.57/0.42 (((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ (par @ p @ q2)))) = $true)),
% 0.57/0.42 inference(fool_elimination,[],[f423])).
% 0.57/0.42 thf(f482,plain,(
% 0.57/0.42 ~(late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y)))))),
% 0.57/0.42 inference(rectify,[],[f276])).
% 0.57/0.42 thf(f483,plain,(
% 0.57/0.42 ~ (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y)))))) = $true)),
% 0.57/0.42 inference(fool_elimination,[],[f482])).
% 0.57/0.42 thf(f638,plain,(
% 0.57/0.42 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y)))))) != $true)),
% 0.57/0.42 inference(flattening,[],[f483])).
% 0.57/0.42 thf(f678,plain,(
% 0.57/0.42 ! [X4 : pi,X1 : pi,X5 : pi,X6 : name,X3 : pi,X2 : name,X0 : name] : ((((((late_transitions @ (par @ X1 @ X3) @ (late_FreeR @ late_TauR @ (res @ X6 @ (par @ X5 @ (subs @ X4 @ X0 @ X6)))))) = $true) | (((fresh @ name @ pi @ X6 @ X3)) != $true)) | ($true != ((late_transitions @ X3 @ (late_BoundR @ (late_InputS @ X2) @ X0 @ X4))))) | (((late_transitions @ X1 @ (late_BoundR @ (late_BoundOutputS @ X2) @ X6 @ X5))) != $true))),
% 0.57/0.42 inference(ennf_transformation,[],[f389])).
% 0.57/0.42 thf(f679,plain,(
% 0.57/0.42 ! [X2 : name,X1 : pi,X0 : name,X5 : pi,X3 : pi,X4 : pi,X6 : name] : ((((late_transitions @ (par @ X1 @ X3) @ (late_FreeR @ late_TauR @ (res @ X6 @ (par @ X5 @ (subs @ X4 @ X0 @ X6)))))) = $true) | ($true != ((late_transitions @ X3 @ (late_BoundR @ (late_InputS @ X2) @ X0 @ X4)))) | (((late_transitions @ X1 @ (late_BoundR @ (late_BoundOutputS @ X2) @ X6 @ X5))) != $true) | (((fresh @ name @ pi @ X6 @ X3)) != $true))),
% 0.57/0.42 inference(flattening,[],[f678])).
% 0.57/0.42 thf(f795,plain,(
% 0.57/0.42 ! [X0 : name,X1 : pi,X2 : name,X3 : pi,X4 : pi,X5 : pi,X6 : name] : ((((late_transitions @ (par @ X1 @ X4) @ (late_FreeR @ late_TauR @ (res @ X6 @ (par @ X3 @ (subs @ X5 @ X2 @ X6)))))) = $true) | (((late_transitions @ X4 @ (late_BoundR @ (late_InputS @ X0) @ X2 @ X5))) != $true) | (((late_transitions @ X1 @ (late_BoundR @ (late_BoundOutputS @ X0) @ X6 @ X3))) != $true) | (((fresh @ name @ pi @ X6 @ X4)) != $true))),
% 0.57/0.42 inference(rectify,[],[f679])).
% 0.57/0.42 thf(f872,plain,(
% 0.57/0.42 (((late_transitions @ (par @ (par @ p @ q) @ r) @ (late_FreeR @ late_TauR @ (res @ y @ (par @ (par @ p @ q2) @ (subs @ r2 @ x @ y)))))) != $true)),
% 0.57/0.42 inference(cnf_transformation,[],[f638])).
% 0.57/0.42 thf(f900,plain,(
% 0.57/0.42 (((late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2))) = $true)),
% 0.57/0.42 inference(cnf_transformation,[],[f420])).
% 0.57/0.42 thf(f911,plain,(
% 0.57/0.42 ( ! [X2 : name,X3 : pi,X0 : name,X1 : pi,X6 : name,X4 : pi,X5 : pi] : ((((late_transitions @ (par @ X1 @ X4) @ (late_FreeR @ late_TauR @ (res @ X6 @ (par @ X3 @ (subs @ X5 @ X2 @ X6)))))) = $true) | (((late_transitions @ X4 @ (late_BoundR @ (late_InputS @ X0) @ X2 @ X5))) != $true) | (((late_transitions @ X1 @ (late_BoundR @ (late_BoundOutputS @ X0) @ X6 @ X3))) != $true) | (((fresh @ name @ pi @ X6 @ X4)) != $true)) )),
% 0.57/0.42 inference(cnf_transformation,[],[f795])).
% 0.57/0.42 thf(f1010,plain,(
% 0.57/0.42 (((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ a) @ y @ (par @ p @ q2)))) = $true)),
% 0.57/0.42 inference(cnf_transformation,[],[f424])).
% 0.57/0.42 thf(f1017,plain,(
% 0.57/0.42 (((fresh @ name @ pi @ y @ r)) = $true)),
% 0.57/0.42 inference(cnf_transformation,[],[f312])).
% 0.57/0.42 thf(f1029,plain,(
% 0.57/0.42 ( ! [X0 : name] : ((((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ X0) @ y @ (par @ p @ q2)))) != $true) | ($true != $true) | (((late_transitions @ r @ (late_BoundR @ (late_InputS @ X0) @ x @ r2))) != $true) | (((fresh @ name @ pi @ y @ r)) != $true)) )),
% 0.57/0.42 inference(superposition,[],[f872,f911])).
% 0.57/0.42 thf(f1034,plain,(
% 0.57/0.42 ( ! [X0 : name] : ((((fresh @ name @ pi @ y @ r)) != $true) | (((late_transitions @ r @ (late_BoundR @ (late_InputS @ X0) @ x @ r2))) != $true) | (((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ X0) @ y @ (par @ p @ q2)))) != $true)) )),
% 0.57/0.42 inference(trivial_inequality_removal,[],[f1029])).
% 0.57/0.42 thf(f1045,plain,(
% 0.57/0.42 ( ! [X0 : name] : ((((late_transitions @ (par @ p @ q) @ (late_BoundR @ (late_BoundOutputS @ X0) @ y @ (par @ p @ q2)))) != $true) | (((late_transitions @ r @ (late_BoundR @ (late_InputS @ X0) @ x @ r2))) != $true)) )),
% 0.57/0.42 inference(forward_subsumption_resolution,[],[f1034,f1017])).
% 0.57/0.42 thf(f1054,plain,(
% 0.57/0.42 ($true != $true) | (((late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2))) != $true)),
% 0.57/0.42 inference(superposition,[],[f1045,f1010])).
% 0.57/0.42 thf(f1060,plain,(
% 0.57/0.42 (((late_transitions @ r @ (late_BoundR @ (late_InputS @ a) @ x @ r2))) != $true)),
% 0.57/0.42 inference(trivial_inequality_removal,[],[f1054])).
% 0.57/0.42 thf(f1064,plain,(
% 0.57/0.42 $false),
% 0.57/0.42 inference(forward_subsumption_resolution,[],[f1060,f900])).
% 0.57/0.42 % SZS output end Proof for theBenchmark
% 0.57/0.42 % (1282022)------------------------------
% 0.57/0.42 % (1282022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.57/0.42 % (1282022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.57/0.42 % (1282022)CaDiCaL version: 2.1.3
% 0.57/0.42 % (1282022)Termination reason: Refutation
% 0.57/0.42 % (1282022)Time elapsed: 0.025 s
% 0.57/0.42 % (1282022)Peak memory usage: 14 MB
% 0.57/0.42 % (1282022)Instructions burned: 99 (million)
% 0.57/0.42 % (1281971)Success in time 0.123 s
% 0.57/0.42 % Vampire exiting
%------------------------------------------------------------------------------