%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : COM160^1 : 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 : n002.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 07:46:22 AM UTC 2026
% Result : Theorem 0.50s 0.43s
% Output : Refutation 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM160^1 : 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 : n002.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 17:49:37 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.21 Running higher-order theorem proving
% 0.20/0.27 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
% 0.50/0.42 % (1634983)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.50/0.42 % (1634989)lrs+10_16_si=on:nwc=1.5:random_seed=1828570985:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.50/0.42 % (1634994)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.50/0.42 % (1634994)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
% 0.50/0.42 % (1634989)Instruction limit reached!
% 0.50/0.42 % (1634989)------------------------------
% 0.50/0.42 % (1634989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (1634989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (1634989)CaDiCaL version: 2.1.3
% 0.50/0.42 % (1634989)Termination reason: Instruction limit
% 0.50/0.42 % (1634989)Termination phase: shuffling
% 0.50/0.42 % (1634989)Time elapsed: 0.005 s
% 0.50/0.42 % (1634989)Peak memory usage: 10 MB
% 0.50/0.42 % (1634989)Instructions burned: 20 (million)
% 0.50/0.42 % (1634990)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4119451391:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.50/0.42 % (1634993)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1263495099:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.50/0.42 % (1634991)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=2357943325: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)
% 0.50/0.42 % (1634992)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=516076289:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.50/0.42 % (1634994)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=337681129:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.50/0.42 % (1634990)Instruction limit reached!
% 0.50/0.42 % (1634990)------------------------------
% 0.50/0.42 % (1634990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (1634990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (1634990)CaDiCaL version: 2.1.3
% 0.50/0.42 % (1634990)Termination reason: Instruction limit
% 0.50/0.42 % (1634990)Termination phase: shuffling
% 0.50/0.42 % (1634990)Time elapsed: 0.003 s
% 0.50/0.42 % (1634990)Peak memory usage: 10 MB
% 0.50/0.42 % (1634990)Instructions burned: 4 (million)
% 0.50/0.42 % (1634988)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1301700898:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.50/0.42 % (1634996)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3245903707:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.50/0.42 % (1634996)Instruction limit reached!
% 0.50/0.42 % (1634996)------------------------------
% 0.50/0.42 % (1634996)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (1634996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (1634996)CaDiCaL version: 2.1.3
% 0.50/0.42 % (1634996)Termination reason: Instruction limit
% 0.50/0.42 % (1634996)Termination phase: shuffling
% 0.50/0.42 % (1634996)Time elapsed: 0.001 s
% 0.50/0.42 % (1634996)Peak memory usage: 10 MB
% 0.50/0.42 % (1634996)Instructions burned: 5 (million)
% 0.50/0.42 % (1634992)Instruction limit reached!
% 0.50/0.42 % (1634992)------------------------------
% 0.50/0.42 % (1634992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.42 % (1634992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.42 % (1634992)CaDiCaL version: 2.1.3
% 0.50/0.42 % (1634992)Termination reason: Instruction limit
% 0.50/0.42 % (1634992)Termination phase: shuffling
% 0.50/0.42 % (1634992)Time elapsed: 0.012 s
% 0.50/0.42 % (1634992)Peak memory usage: 10 MB
% 0.50/0.42 % (1634992)Instructions burned: 24 (million)
% 0.50/0.42 % (1635005)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.43 % (1635005)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2702775251:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.50/0.43 % (1635002)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1655263165:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.50/0.43 % (1635005)Instruction limit reached!
% 0.50/0.43 % (1635005)------------------------------
% 0.50/0.43 % (1635005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1635005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1635005)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1635005)Termination reason: Instruction limit
% 0.50/0.43 % (1635005)Termination phase: shuffling
% 0.50/0.43 % (1635005)Time elapsed: 0.003 s
% 0.50/0.43 % (1635005)Peak memory usage: 10 MB
% 0.50/0.43 % (1635005)Instructions burned: 10 (million)
% 0.50/0.43 % (1635002)Instruction limit reached!
% 0.50/0.43 % (1635002)------------------------------
% 0.50/0.43 % (1635002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1635002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1635002)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1635002)Termination reason: Instruction limit
% 0.50/0.43 % (1635002)Termination phase: shuffling
% 0.50/0.43 % (1635002)Time elapsed: 0.004 s
% 0.50/0.43 % (1635002)Peak memory usage: 10 MB
% 0.50/0.43 % (1635002)Instructions burned: 6 (million)
% 0.50/0.43 % (1635006)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4271947564:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.50/0.43 % (1635009)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
% 0.50/0.43 % (1635009)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.50/0.43 % (1635009)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=3823753743:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.50/0.43 % (1635006)Instruction limit reached!
% 0.50/0.43 % (1635006)------------------------------
% 0.50/0.43 % (1635006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1635006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1635006)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1635006)Termination reason: Instruction limit
% 0.50/0.43 % (1635006)Termination phase: shuffling
% 0.50/0.43 % (1635006)Time elapsed: 0.006 s
% 0.50/0.43 % (1635006)Peak memory usage: 10 MB
% 0.50/0.43 % (1635006)Instructions burned: 12 (million)
% 0.50/0.43 % (1634993)Instruction limit reached!
% 0.50/0.43 % (1634993)------------------------------
% 0.50/0.43 % (1634993)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1634993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1634993)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1634993)Termination reason: Instruction limit
% 0.50/0.43 % (1634993)Termination phase: Clausification
% 0.50/0.43 % (1634993)Time elapsed: 0.038 s
% 0.50/0.43 % (1634993)Peak memory usage: 12 MB
% 0.50/0.43 % (1634993)Instructions burned: 75 (million)
% 0.50/0.43 % (1635009)Instruction limit reached!
% 0.50/0.43 % (1635009)------------------------------
% 0.50/0.43 % (1635009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1635009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1635009)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1635009)Termination reason: Instruction limit
% 0.50/0.43 % (1635009)Termination phase: shuffling
% 0.50/0.43 % (1635009)Time elapsed: 0.007 s
% 0.50/0.43 % (1635009)Peak memory usage: 10 MB
% 0.50/0.43 % (1635009)Instructions burned: 30 (million)
% 0.50/0.43 % (1635010)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=2485696015:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.50/0.43 % (1635015)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=861544573:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.50/0.43 % (1635014)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.50/0.43 % (1635013)lrs+10_1_si=on:cs=on:random_seed=1339762939:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.50/0.43 % (1635014)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=3491658510:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.50/0.43 % (1635014)Instruction limit reached!
% 0.50/0.43 % (1635014)------------------------------
% 0.50/0.43 % (1635014)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1635014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1635014)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1635014)Termination reason: Instruction limit
% 0.50/0.43 % (1635014)Termination phase: shuffling
% 0.50/0.43 % (1635014)Time elapsed: 0.002 s
% 0.50/0.43 % (1635014)Peak memory usage: 10 MB
% 0.50/0.43 % (1635014)Instructions burned: 3 (million)
% 0.50/0.43 % (1635013)Instruction limit reached!
% 0.50/0.43 % (1635013)------------------------------
% 0.50/0.43 % (1635013)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1635013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1635013)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1635013)Termination reason: Instruction limit
% 0.50/0.43 % (1635013)Termination phase: shuffling
% 0.50/0.43 % (1635013)Time elapsed: 0.005 s
% 0.50/0.43 % (1635013)Peak memory usage: 10 MB
% 0.50/0.43 % (1635013)Instructions burned: 10 (million)
% 0.50/0.43 % (1635015)Instruction limit reached!
% 0.50/0.43 % (1635015)------------------------------
% 0.50/0.43 % (1635015)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1635015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1635015)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1635015)Termination reason: Instruction limit
% 0.50/0.43 % (1635015)Termination phase: SInE selection
% 0.50/0.43 % (1635015)Time elapsed: 0.010 s
% 0.50/0.43 % (1635015)Peak memory usage: 11 MB
% 0.50/0.43 % (1635015)Instructions burned: 42 (million)
% 0.50/0.43 % (1635022)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2863849609:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.50/0.43 % (1634994)Instruction limit reached!
% 0.50/0.43 % (1634994)------------------------------
% 0.50/0.43 % (1634994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1634994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1634994)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1634994)Termination reason: Instruction limit
% 0.50/0.43 % (1634994)Termination phase: Saturation
% 0.50/0.43 % (1634994)Time elapsed: 0.075 s
% 0.50/0.43 % (1634994)Peak memory usage: 14 MB
% 0.50/0.43 % (1634994)Instructions burned: 158 (million)
% 0.50/0.43 % (1635020)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3655301804:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.50/0.43 % (1635022)Instruction limit reached!
% 0.50/0.43 % (1635022)------------------------------
% 0.50/0.43 % (1635022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1635022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1635022)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1635022)Termination reason: Instruction limit
% 0.50/0.43 % (1635022)Termination phase: shuffling
% 0.50/0.43 % (1635022)Time elapsed: 0.004 s
% 0.50/0.43 % (1635022)Peak memory usage: 10 MB
% 0.50/0.43 % (1635022)Instructions burned: 16 (million)
% 0.50/0.43 % (1635021)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=1887567053:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.50/0.43 % (1634988)Instruction limit reached!
% 0.50/0.43 % (1634988)------------------------------
% 0.50/0.43 % (1634988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1634988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1634988)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1634988)Termination reason: Instruction limit
% 0.50/0.43 % (1634988)Termination phase: Property scanning
% 0.50/0.43 % (1634988)Time elapsed: 0.074 s
% 0.50/0.43 % (1634988)Peak memory usage: 12 MB
% 0.50/0.43 % (1634988)Instructions burned: 87 (million)
% 0.50/0.43 % (1635010)Instruction limit reached!
% 0.50/0.43 % (1635010)------------------------------
% 0.50/0.43 % (1635010)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1635010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1635010)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1635010)Termination reason: Instruction limit
% 0.50/0.43 % (1635010)Termination phase: Preprocessing 1
% 0.50/0.43 % (1635010)Time elapsed: 0.039 s
% 0.50/0.43 % (1635010)Peak memory usage: 11 MB
% 0.50/0.43 % (1635010)Instructions burned: 87 (million)
% 0.50/0.43 % (1635026)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2271510464:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.50/0.43 % (1634991) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1634983-1634991"...
% 0.50/0.43 % (1635026)Instruction limit reached!
% 0.50/0.43 % (1635026)------------------------------
% 0.50/0.43 % (1635026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1635026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1635026)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1635026)Termination reason: Instruction limit
% 0.50/0.43 % (1635026)Termination phase: shuffling
% 0.50/0.43 % (1635026)Time elapsed: 0.003 s
% 0.50/0.43 % (1635026)Peak memory usage: 10 MB
% 0.50/0.43 % (1635026)Instructions burned: 14 (million)
% 0.50/0.43 % (1635021)Instruction limit reached!
% 0.50/0.43 % (1635021)------------------------------
% 0.50/0.43 % (1635021)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1635021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1635021)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1635021)Termination reason: Instruction limit
% 0.50/0.43 % (1635021)Termination phase: Property scanning
% 0.50/0.43 % (1635021)Time elapsed: 0.013 s
% 0.50/0.43 % (1635021)Peak memory usage: 10 MB
% 0.50/0.43 % (1635021)Instructions burned: 26 (million)
% 0.50/0.43 % (1634991)...printing done.
% 0.50/0.43 % (1635024)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1596581894:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.50/0.43 % (1634991)Refutation found. Thanks to Tanya!
% 0.50/0.43 % SZS status Theorem for theBenchmark
% 0.50/0.43 % SZS output start Proof for theBenchmark
% 0.50/0.43 thf(type_def_5, type, abstra2103299360e_tree: $tType > $tType).
% 0.50/0.43 thf(type_def_6, type, product_prod: ($tType * $tType) > $tType).
% 0.50/0.43 thf(type_def_7, type, stream: $tType > $tType).
% 0.50/0.43 thf(type_def_8, type, fset: $tType > $tType).
% 0.50/0.43 thf(type_def_9, type, set: $tType > $tType).
% 0.50/0.43 thf(type_def_10, type, nat: $tType).
% 0.50/0.43 thf(type_def_11, type, state: $tType).
% 0.50/0.43 thf(type_def_12, type, itself: $tType > $tType).
% 0.50/0.43 thf(type_def_13, type, rule: $tType).
% 0.50/0.43 thf(type_def_14, type, sTfun: ($tType * $tType) > $tType).
% 0.50/0.43 thf(func_def_0, type, finite_finite: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.50/0.43 thf(func_def_1, type, type: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.50/0.43 thf(func_def_2, type, bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.50/0.43 thf(func_def_3, type, ord: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.50/0.43 thf(func_def_4, type, order: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.50/0.43 thf(func_def_5, type, linorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.50/0.43 thf(func_def_6, type, preorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.50/0.43 thf(func_def_7, type, countable: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.50/0.43 thf(func_def_8, type, order_bot: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.50/0.43 thf(func_def_9, type, wellorder: !>[X0: $tType]:((itself @ X0 > $o))).
% 0.50/0.43 thf(func_def_10, type, abstra1326562878System: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > $o))).
% 0.50/0.43 thf(func_def_11, type, abstra1332369113inWait: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > X1 > nat))).
% 0.50/0.43 thf(func_def_12, type, abstra2096684367le_per: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > set @ X1 > X0 > $o))).
% 0.50/0.43 thf(func_def_13, type, abstra2097340358le_pos: !>[X0: $tType]:((stream @ X0 > X0 > nat))).
% 0.50/0.43 thf(func_def_14, type, abstra1209608345urated: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > stream @ product_prod @ X1 @ X0 > $o))).
% 0.50/0.43 thf(func_def_15, type, abstra1874422341nabled: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > X0 > X1 > $o))).
% 0.50/0.43 thf(func_def_16, type, abstra523868654_epath: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > stream @ product_prod @ X1 @ X0 > $o))).
% 0.50/0.43 thf(func_def_17, type, abstra928354080m_fair: !>[X0: $tType]:((stream @ X0 > stream @ X0 > $o))).
% 0.50/0.43 thf(func_def_18, type, abstra1774373515_fenum: !>[X0: $tType]:((stream @ X0 > stream @ X0))).
% 0.50/0.43 thf(func_def_19, type, abstra1225283448mkTree: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > X1 > abstra2103299360e_tree @ product_prod @ X1 @ X0))).
% 0.50/0.43 thf(func_def_20, type, abstra1276541928ickEff: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > X0 > X1 > fset @ X1))).
% 0.50/0.43 thf(func_def_21, type, abstra726722745urated: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > X0 > stream @ product_prod @ X1 @ X0 > $o))).
% 0.50/0.43 thf(func_def_22, type, abstra1259602206m_trim: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > X1 > stream @ X0))).
% 0.50/0.43 thf(func_def_23, type, abstra1874736267tem_wf: !>[X0: $tType, X1: $tType]:(((X0 > X1 > fset @ X1 > $o) > stream @ X0 > abstra2103299360e_tree @ product_prod @ X1 @ X0 > $o))).
% 0.50/0.43 thf(func_def_24, type, abstra313004635_ipath: !>[X0: $tType]:((abstra2103299360e_tree @ X0 > stream @ X0 > $o))).
% 0.50/0.43 thf(func_def_25, type, abstra388494275e_Node: !>[X0: $tType]:((X0 > fset @ abstra2103299360e_tree @ X0 > abstra2103299360e_tree @ X0))).
% 0.50/0.43 thf(func_def_26, type, abstra1749095923e_cont: !>[X0: $tType]:((abstra2103299360e_tree @ X0 > fset @ abstra2103299360e_tree @ X0))).
% 0.50/0.43 thf(func_def_27, type, abstra573067619e_root: !>[X0: $tType]:((abstra2103299360e_tree @ X0 > X0))).
% 0.50/0.43 thf(func_def_28, type, countable_countable: !>[X0: $tType]:((set @ X0 > $o))).
% 0.50/0.43 thf(func_def_29, type, fimage: !>[X0: $tType, X1: $tType]:(((X0 > X1) > fset @ X0 > fset @ X1))).
% 0.50/0.43 thf(func_def_30, type, fmember: !>[X0: $tType]:((X0 > fset @ X0 > $o))).
% 0.50/0.43 thf(func_def_31, type, minus_minus: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.50/0.43 thf(func_def_32, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.50/0.43 thf(func_def_33, type, bot_bot: !>[X0: $tType]:(X0)).
% 0.50/0.43 thf(func_def_34, type, ord_Least: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_35, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.50/0.43 thf(func_def_36, type, product_Pair: !>[X0: $tType, X1: $tType]:((X0 > X1 > product_prod @ X0 @ X1))).
% 0.50/0.43 thf(func_def_37, type, product_fst: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.50/0.43 thf(func_def_38, type, product_snd: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.50/0.43 thf(func_def_39, type, type2: !>[X0: $tType]:(itself @ X0)).
% 0.50/0.43 thf(func_def_40, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.50/0.43 thf(func_def_41, type, insert: !>[X0: $tType]:((X0 > set @ X0 > set @ X0))).
% 0.50/0.43 thf(func_def_42, type, sdrop: !>[X0: $tType]:((nat > stream @ X0 > stream @ X0))).
% 0.50/0.43 thf(func_def_43, type, sdrop_while: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > stream @ X0))).
% 0.50/0.43 thf(func_def_44, type, case_stream: !>[X0: $tType, X1: $tType]:(((X0 > stream @ X0 > X1) > stream @ X0 > X1))).
% 0.50/0.43 thf(func_def_45, type, shd: !>[X0: $tType]:((stream @ X0 > X0))).
% 0.50/0.43 thf(func_def_46, type, sset: !>[X0: $tType]:((stream @ X0 > set @ X0))).
% 0.50/0.43 thf(func_def_47, type, stl: !>[X0: $tType]:((stream @ X0 > stream @ X0))).
% 0.50/0.43 thf(func_def_48, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.50/0.43 thf(func_def_49, type, s: set @ state).
% 0.50/0.43 thf(func_def_50, type, eff: (rule > state > fset @ state > $o)).
% 0.50/0.43 thf(func_def_51, type, r: rule).
% 0.50/0.43 thf(func_def_52, type, rules: stream @ rule).
% 0.50/0.43 thf(func_def_53, type, steps: stream @ product_prod @ state @ rule).
% 0.50/0.43 thf(func_def_54, type, stepsa: stream @ product_prod @ state @ rule).
% 0.50/0.43 thf(func_def_55, type, thesis: $o).
% 0.50/0.43 thf(func_def_57, type, db0: !>[X0: $tType]:(X0)).
% 0.50/0.43 thf(func_def_58, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.50/0.43 thf(func_def_61, type, vNOT: ($o > $o)).
% 0.50/0.43 thf(func_def_62, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.50/0.43 thf(func_def_63, type, vIMP: ($o > $o > $o)).
% 0.50/0.43 thf(func_def_64, type, db2: !>[X0: $tType]:(X0)).
% 0.50/0.43 thf(func_def_65, type, db1: !>[X0: $tType]:(X0)).
% 0.50/0.43 thf(func_def_66, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.50/0.43 thf(func_def_67, type, vAND: ($o > $o > $o)).
% 0.50/0.43 thf(func_def_68, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.50/0.43 thf(func_def_69, type, db3: !>[X0: $tType]:(X0)).
% 0.50/0.43 thf(func_def_70, type, db4: !>[X0: $tType]:(X0)).
% 0.50/0.43 thf(func_def_71, type, db5: !>[X0: $tType]:(X0)).
% 0.50/0.43 thf(func_def_72, type, sP0: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.50/0.43 thf(func_def_73, type, sP1: !>[X0: $tType]:((X0 > X0 > X0 > $o))).
% 0.50/0.43 thf(func_def_74, type, sK2: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.50/0.43 thf(func_def_75, type, sK3: !>[X0: $tType, X1: $tType]:(((X0 > X1) > X0))).
% 0.50/0.43 thf(func_def_76, type, sK4: !>[X0: $tType]:(((stream @ X0 > stream @ X0 > $o) > stream @ X0))).
% 0.50/0.43 thf(func_def_77, type, sK5: !>[X0: $tType]:(((stream @ X0 > stream @ X0 > $o) > stream @ X0))).
% 0.50/0.43 thf(func_def_78, type, sK6: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_79, type, sK7: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_80, type, sK8: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_81, type, sK9: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_82, type, sK10: !>[X0: $tType, X1: $tType]:((X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > nat))).
% 0.50/0.43 thf(func_def_83, type, sK11: !>[X0: $tType, X1: $tType]:((stream @ X0 > stream @ product_prod @ X1 @ X0 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 0.50/0.43 thf(func_def_84, type, sK12: !>[X0: $tType, X1: $tType]:((fset @ X1 > fset @ X0 > (X1 > X0) > X1))).
% 0.50/0.43 thf(func_def_85, type, sK13: !>[X0: $tType, X1: $tType]:((stream @ X1 > X0 > set @ X0 > abstra2103299360e_tree @ product_prod @ X0 @ X1 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 0.50/0.43 thf(func_def_86, type, sK14: !>[X0: $tType, X1: $tType]:((stream @ X1 > X0 > set @ X0 > abstra2103299360e_tree @ product_prod @ X0 @ X1 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_87, type, sK15: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X1 > X2))).
% 0.50/0.43 thf(func_def_88, type, sK16: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X1 > X0))).
% 0.50/0.43 thf(func_def_89, type, sK17: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X1 > X5))).
% 0.50/0.43 thf(func_def_90, type, sK18: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X1 > X4))).
% 0.50/0.43 thf(func_def_91, type, sK19: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X1 > X3))).
% 0.50/0.43 thf(func_def_92, type, sK20: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:((product_prod @ X0 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X4 @ product_prod @ X3 @ X1 > X1))).
% 0.50/0.43 thf(func_def_93, type, sK21: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_94, type, sK22: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > X1))).
% 0.50/0.43 thf(func_def_95, type, sK23: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_96, type, sK24: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X0))).
% 0.50/0.43 thf(func_def_97, type, sK25: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X3))).
% 0.50/0.43 thf(func_def_98, type, sK26: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X1))).
% 0.50/0.43 thf(func_def_99, type, sK27: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:((product_prod @ X3 @ product_prod @ X0 @ product_prod @ X1 @ X2 > X2))).
% 0.50/0.43 thf(func_def_100, type, sK28: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 0.50/0.43 thf(func_def_101, type, sK29: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 0.50/0.43 thf(func_def_102, type, sK30: !>[X0: $tType, X1: $tType, X2: $tType]:((product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 0.50/0.43 thf(func_def_103, type, sK31: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X1))).
% 0.50/0.43 thf(func_def_104, type, sK32: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X2))).
% 0.50/0.43 thf(func_def_105, type, sK33: !>[X0: $tType, X1: $tType, X2: $tType]:(((product_prod @ X0 @ product_prod @ X1 @ X2 > $o) > X0))).
% 0.50/0.43 thf(func_def_106, type, sK34: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X1))).
% 0.50/0.43 thf(func_def_107, type, sK35: !>[X0: $tType, X1: $tType]:(((product_prod @ X1 @ X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_108, type, sK36: ((stream @ product_prod @ state @ rule > $o) > stream @ product_prod @ state @ rule)).
% 0.50/0.43 thf(func_def_109, type, sK37: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.50/0.43 thf(func_def_110, type, sK38: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.50/0.43 thf(func_def_111, type, sK39: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X5))).
% 0.50/0.43 thf(func_def_112, type, sK40: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X3))).
% 0.50/0.43 thf(func_def_113, type, sK41: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X2))).
% 0.50/0.43 thf(func_def_114, type, sK42: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X4))).
% 0.50/0.43 thf(func_def_115, type, sK43: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X6))).
% 0.50/0.43 thf(func_def_116, type, sK44: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X1))).
% 0.50/0.43 thf(func_def_117, type, sK45: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:(((product_prod @ X6 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X4 @ product_prod @ X2 @ product_prod @ X1 @ X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_118, type, sK46: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X2))).
% 0.50/0.43 thf(func_def_119, type, sK47: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X0))).
% 0.50/0.43 thf(func_def_120, type, sK48: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X4))).
% 0.50/0.43 thf(func_def_121, type, sK49: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X3))).
% 0.50/0.43 thf(func_def_122, type, sK50: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X1 @ product_prod @ X3 @ X2 > X1))).
% 0.50/0.43 thf(func_def_123, type, sK51: (state > stream @ rule > nat)).
% 0.50/0.43 thf(func_def_124, type, sK52: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X6))).
% 0.50/0.43 thf(func_def_125, type, sK53: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X4))).
% 0.50/0.43 thf(func_def_126, type, sK54: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X1))).
% 0.50/0.43 thf(func_def_127, type, sK55: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X3))).
% 0.50/0.43 thf(func_def_128, type, sK56: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X0))).
% 0.50/0.43 thf(func_def_129, type, sK57: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X5))).
% 0.50/0.43 thf(func_def_130, type, sK58: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType, X6: $tType]:((product_prod @ X6 @ product_prod @ X4 @ product_prod @ X3 @ product_prod @ X5 @ product_prod @ X2 @ product_prod @ X1 @ X0 > X2))).
% 0.50/0.43 thf(func_def_131, type, sK59: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > fset @ X1 > X1))).
% 0.50/0.43 thf(func_def_132, type, sK60: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > fset @ X1 > X1 > X0))).
% 0.50/0.43 thf(func_def_133, type, sK61: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X1 > X0) > X1))).
% 0.50/0.43 thf(func_def_134, type, sK62: !>[X0: $tType]:(((stream @ X0 > stream @ X0 > $o) > stream @ X0))).
% 0.50/0.43 thf(func_def_135, type, sK63: !>[X0: $tType]:(((stream @ X0 > stream @ X0 > $o) > stream @ X0))).
% 0.50/0.43 thf(func_def_136, type, sK64: (stream @ rule > abstra2103299360e_tree @ product_prod @ state @ rule > state > fset @ state)).
% 0.50/0.43 thf(func_def_137, type, sK65: (stream @ rule > abstra2103299360e_tree @ product_prod @ state @ rule > state > state)).
% 0.50/0.43 thf(func_def_138, type, sK66: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_139, type, sK67: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X0))).
% 0.50/0.43 thf(func_def_140, type, sK68: !>[X0: $tType, X1: $tType]:(((product_prod @ X0 @ X1 > $o) > X1))).
% 0.50/0.43 thf(func_def_141, type, sK69: (stream @ product_prod @ state @ rule > fset @ state)).
% 0.50/0.43 thf(func_def_142, type, sK70: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X1))).
% 0.50/0.43 thf(func_def_143, type, sK71: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X2))).
% 0.50/0.43 thf(func_def_144, type, sK72: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X0))).
% 0.50/0.43 thf(func_def_145, type, sK73: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((product_prod @ X0 @ product_prod @ X2 @ product_prod @ X1 @ X3 > $o) > X3))).
% 0.50/0.43 thf(func_def_146, type, sK74: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.50/0.43 thf(func_def_147, type, sK75: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.50/0.43 thf(func_def_148, type, sK76: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_149, type, sK77: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_150, type, sK78: (state > rule)).
% 0.50/0.43 thf(func_def_151, type, sK79: (state > fset @ state)).
% 0.50/0.43 thf(func_def_152, type, sK80: !>[X0: $tType, X1: $tType]:((set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > stream @ product_prod @ X1 @ X0 > nat > nat))).
% 0.50/0.43 thf(func_def_153, type, sK81: !>[X0: $tType, X1: $tType]:((set @ X1 > stream @ X0 > (X0 > X1 > fset @ X1 > $o) > stream @ product_prod @ X1 @ X0 > nat > X1))).
% 0.50/0.43 thf(func_def_154, type, sK82: !>[X0: $tType]:((set @ X0 > X0))).
% 0.50/0.43 thf(func_def_155, type, sK83: !>[X0: $tType]:(((X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_156, type, sK84: (stream @ product_prod @ state @ rule > fset @ state)).
% 0.50/0.43 thf(func_def_157, type, sK85: (stream @ product_prod @ state @ rule > stream @ product_prod @ state @ rule)).
% 0.50/0.43 thf(func_def_158, type, sK86: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_159, type, sK87: !>[X0: $tType]:((abstra2103299360e_tree @ X0 > X0))).
% 0.50/0.43 thf(func_def_160, type, sK88: !>[X0: $tType]:((abstra2103299360e_tree @ X0 > fset @ abstra2103299360e_tree @ X0))).
% 0.50/0.43 thf(func_def_161, type, sK89: !>[X0: $tType, X1: $tType]:((X1 > stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_162, type, sK90: !>[X0: $tType, X1: $tType]:((X1 > stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_163, type, sK91: !>[X0: $tType, X1: $tType]:((X1 > stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > X1))).
% 0.50/0.43 thf(func_def_164, type, sK92: !>[X0: $tType, X1: $tType]:((X1 > stream @ X1 > set @ X0 > (X1 > X0 > fset @ X0 > $o) > fset @ X0))).
% 0.50/0.43 thf(func_def_165, type, sK93: !>[X0: $tType, X1: $tType]:((stream @ X0 > X1 > (X0 > X1 > fset @ X1 > $o) > X0))).
% 0.50/0.43 thf(func_def_166, type, sK94: !>[X0: $tType, X1: $tType]:((stream @ X0 > X1 > (X0 > X1 > fset @ X1 > $o) > fset @ X1))).
% 0.50/0.43 thf(func_def_167, type, sK95: !>[X0: $tType, X1: $tType]:((fset @ X1 > fset @ X0 > (X1 > X0) > fset @ X1))).
% 0.50/0.43 thf(func_def_168, type, sK96: !>[X0: $tType]:((set @ X0 > set @ X0 > X0))).
% 0.50/0.43 thf(func_def_169, type, sK97: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_170, type, sK98: (stream @ product_prod @ state @ rule > rule)).
% 0.50/0.43 thf(func_def_171, type, sK99: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_172, type, sK100: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_173, type, sK101: !>[X0: $tType, X1: $tType]:((fset @ X1 > (X1 > X0) > (X1 > X0) > X1))).
% 0.50/0.43 thf(func_def_174, type, sK102: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.50/0.43 thf(func_def_175, type, sK103: !>[X0: $tType]:((fset @ X0 > fset @ X0 > X0))).
% 0.50/0.43 thf(func_def_176, type, sK104: !>[X0: $tType]:((X0 > (X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_177, type, sK105: !>[X0: $tType, X1: $tType]:((stream @ X0 > (X0 > X1 > fset @ X1 > $o) > set @ X1 > X1))).
% 0.50/0.43 thf(func_def_178, type, sK106: !>[X0: $tType, X1: $tType]:((stream @ X0 > (X0 > X1 > fset @ X1 > $o) > set @ X1 > X0))).
% 0.50/0.43 thf(func_def_179, type, sK107: !>[X0: $tType, X1: $tType]:((stream @ X0 > (X0 > X1 > fset @ X1 > $o) > set @ X1 > fset @ X1))).
% 0.50/0.43 thf(func_def_180, type, sK108: !>[X0: $tType, X1: $tType]:((stream @ X0 > (X0 > X1 > fset @ X1 > $o) > set @ X1 > X1))).
% 0.50/0.43 thf(func_def_181, type, sK109: !>[X0: $tType, X1: $tType]:((stream @ X0 > (X0 > X1 > fset @ X1 > $o) > set @ X1 > X1))).
% 0.50/0.43 thf(func_def_182, type, sK110: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_183, type, sK111: !>[X0: $tType, X1: $tType]:((fset @ X1 > X0 > (X1 > X0) > X1))).
% 0.50/0.43 thf(func_def_184, type, sK112: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X1))).
% 0.50/0.43 thf(func_def_185, type, sK113: !>[X0: $tType, X1: $tType]:((product_prod @ X0 @ X1 > X0))).
% 0.50/0.43 thf(func_def_186, type, sK114: !>[X0: $tType]:((fset @ X0 > fset @ X0 > X0))).
% 0.50/0.43 thf(func_def_187, type, sK115: (rule > rule)).
% 0.50/0.43 thf(func_def_188, type, sK116: (rule > state)).
% 0.50/0.43 thf(func_def_189, type, sK117: (rule > fset @ state)).
% 0.50/0.43 thf(func_def_190, type, sK118: (rule > state)).
% 0.50/0.43 thf(func_def_191, type, sK119: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_192, type, sK120: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > stream @ X0))).
% 0.50/0.43 thf(func_def_193, type, sK121: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > X0))).
% 0.50/0.43 thf(func_def_194, type, sK122: !>[X0: $tType]:(((X0 > stream @ X0 > $o) > stream @ X0))).
% 0.50/0.43 thf(func_def_195, type, sK123: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X5))).
% 0.50/0.43 thf(func_def_196, type, sK124: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X4))).
% 0.50/0.43 thf(func_def_197, type, sK125: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X2))).
% 0.50/0.43 thf(func_def_198, type, sK126: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X0))).
% 0.50/0.43 thf(func_def_199, type, sK127: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X3))).
% 0.50/0.43 thf(func_def_200, type, sK128: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType, X5: $tType]:(((product_prod @ X4 @ product_prod @ X0 @ product_prod @ X5 @ product_prod @ X1 @ product_prod @ X3 @ X2 > $o) > X1))).
% 0.50/0.43 thf(func_def_201, type, sK129: !>[X0: $tType]:((fset @ X0 > X0))).
% 0.50/0.43 thf(func_def_202, type, sK130: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.50/0.43 thf(func_def_203, type, sK131: !>[X0: $tType, X1: $tType]:(((X1 > X0) > X1))).
% 0.50/0.43 thf(func_def_204, type, sK132: (stream @ rule > stream @ product_prod @ state @ rule > nat > nat)).
% 0.50/0.43 thf(func_def_205, type, sK133: (stream @ rule > stream @ product_prod @ state @ rule > nat > state)).
% 0.50/0.43 thf(func_def_206, type, sK134: !>[X0: $tType, X1: $tType]:((stream @ X0 > (X0 > X1 > fset @ X1 > $o) > (stream @ product_prod @ X1 @ X0 > $o) > stream @ product_prod @ X1 @ X0))).
% 0.50/0.43 thf(func_def_207, type, sK135: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X0))).
% 0.50/0.43 thf(func_def_208, type, sK136: !>[X0: $tType, X1: $tType]:((product_prod @ X1 @ X0 > X1))).
% 0.50/0.43 thf(func_def_209, type, sK137: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X1 > $o) > X0))).
% 0.50/0.43 thf(func_def_210, type, sK138: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X1 > $o) > X2))).
% 0.50/0.43 thf(func_def_211, type, sK139: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X1 > $o) > X4))).
% 0.50/0.43 thf(func_def_212, type, sK140: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X1 > $o) > X1))).
% 0.50/0.43 thf(func_def_213, type, sK141: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType, X4: $tType]:(((product_prod @ X2 @ product_prod @ X4 @ product_prod @ X0 @ product_prod @ X3 @ X1 > $o) > X3))).
% 0.50/0.43 thf(func_def_214, type, sK142: (state > rule > fset @ state)).
% 0.50/0.43 thf(f6,axiom,(
% 0.50/0.43 ! [X0 : stream @ product_prod @ state @ rule] : ((abstra523868654_epath @ rule @ state @ eff @ rules @ X0) => ~((member @ rule @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (sset @ rule @ rules)) => ! [X1 : fset @ state] : ((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ X0))) @ X1) => ((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ X1) => ~(abstra523868654_epath @ rule @ state @ eff @ rules @ (stl @ product_prod @ state @ rule @ X0))))))),
% 0.50/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_epath_Ocases)).
% 0.50/0.43 thf(f36,axiom,(
% 0.50/0.43 (abstra523868654_epath @ rule @ state @ eff @ rules @ stepsa) & (member @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ s)),
% 0.50/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_local_Oalw)).
% 0.50/0.43 thf(f299,axiom,(
% 0.50/0.43 ! [X0 : fset @ state] : (((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ X0) & (fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ stepsa))) @ X0)) => thesis)),
% 0.50/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.50/0.43 thf(f300,conjecture,(
% 0.50/0.43 thesis),
% 0.50/0.43 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 0.50/0.43 thf(f301,negated_conjecture,(
% 0.50/0.43 ~thesis),
% 0.50/0.43 inference(negated_conjecture,[status(cth)],[f300])).
% 0.50/0.43 thf(f366,plain,(
% 0.50/0.43 ! [X0 : fset @ state] : (((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ X0) & (fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ stepsa))) @ X0)) => thesis)),
% 0.50/0.43 inference(rectify,[],[f299])).
% 0.50/0.43 thf(f367,plain,(
% 0.50/0.43 ! [X0 : fset @ state] : (((((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ X0)) = $true) & (((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ stepsa))) @ X0)) = $true)) => (thesis = $true))),
% 0.50/0.43 inference(fool_elimination,[],[f366])).
% 0.50/0.43 thf(f482,plain,(
% 0.50/0.43 (abstra523868654_epath @ rule @ state @ eff @ rules @ stepsa) & (member @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ s)),
% 0.50/0.43 inference(rectify,[],[f36])).
% 0.50/0.43 thf(f483,plain,(
% 0.50/0.43 (((abstra523868654_epath @ rule @ state @ eff @ rules @ stepsa)) = $true) & (((member @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ s)) = $true)),
% 0.50/0.43 inference(fool_elimination,[],[f482])).
% 0.50/0.43 thf(f548,plain,(
% 0.50/0.43 ~thesis),
% 0.50/0.43 inference(rectify,[],[f301])).
% 0.50/0.43 thf(f549,plain,(
% 0.50/0.43 ~ (thesis = $true)),
% 0.50/0.43 inference(fool_elimination,[],[f548])).
% 0.50/0.43 thf(f653,plain,(
% 0.50/0.43 ! [X0 : stream @ product_prod @ state @ rule] : ((abstra523868654_epath @ rule @ state @ eff @ rules @ X0) => ~((member @ rule @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (sset @ rule @ rules)) => ! [X1 : fset @ state] : ((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ X0))) @ X1) => ((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ X1) => ~(abstra523868654_epath @ rule @ state @ eff @ rules @ (stl @ product_prod @ state @ rule @ X0))))))),
% 0.50/0.43 inference(rectify,[],[f6])).
% 0.50/0.43 thf(f654,plain,(
% 0.50/0.43 ! [X0 : stream @ product_prod @ state @ rule] : ((((abstra523868654_epath @ rule @ state @ eff @ rules @ X0)) = $true) => ~((((member @ rule @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (sset @ rule @ rules))) = $true) => ! [X1 : fset @ state] : ((((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ X0))) @ X1)) = $true) => ((((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ X1)) = $true) => ~ (((abstra523868654_epath @ rule @ state @ eff @ rules @ (stl @ product_prod @ state @ rule @ X0))) = $true)))))),
% 0.50/0.43 inference(fool_elimination,[],[f653])).
% 0.50/0.43 thf(f831,plain,(
% 0.50/0.43 (thesis != $true)),
% 0.50/0.43 inference(flattening,[],[f549])).
% 0.50/0.43 thf(f842,plain,(
% 0.50/0.43 ! [X0 : stream @ product_prod @ state @ rule] : ((((abstra523868654_epath @ rule @ state @ eff @ rules @ X0)) = $true) => ~((((member @ rule @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (sset @ rule @ rules))) = $true) => ! [X1 : fset @ state] : ((((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ X0))) @ X1)) = $true) => ((((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ X1)) = $true) => (((abstra523868654_epath @ rule @ state @ eff @ rules @ (stl @ product_prod @ state @ rule @ X0))) != $true)))))),
% 0.50/0.43 inference(flattening,[],[f654])).
% 0.50/0.43 thf(f987,plain,(
% 0.50/0.43 ! [X0 : stream @ product_prod @ state @ rule] : ((? [X1 : fset @ state] : (((((abstra523868654_epath @ rule @ state @ eff @ rules @ (stl @ product_prod @ state @ rule @ X0))) = $true) & (((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ X1)) = $true)) & (((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ X0))) @ X1)) = $true)) & (((member @ rule @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (sset @ rule @ rules))) = $true)) | (((abstra523868654_epath @ rule @ state @ eff @ rules @ X0)) != $true))),
% 0.50/0.43 inference(ennf_transformation,[],[f842])).
% 0.50/0.43 thf(f988,plain,(
% 0.50/0.43 ! [X0 : stream @ product_prod @ state @ rule] : ((((abstra523868654_epath @ rule @ state @ eff @ rules @ X0)) != $true) | ((((member @ rule @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (sset @ rule @ rules))) = $true) & ? [X1 : fset @ state] : ((((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ X1)) = $true) & (((abstra523868654_epath @ rule @ state @ eff @ rules @ (stl @ product_prod @ state @ rule @ X0))) = $true) & (((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ X0))) @ X1)) = $true))))),
% 0.50/0.43 inference(flattening,[],[f987])).
% 0.50/0.43 thf(f1051,plain,(
% 0.50/0.43 ! [X0 : fset @ state] : ((thesis = $true) | ((((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ X0)) != $true) | (((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ stepsa))) @ X0)) != $true)))),
% 0.50/0.43 inference(ennf_transformation,[],[f367])).
% 0.50/0.43 thf(f1052,plain,(
% 0.50/0.43 ! [X0 : fset @ state] : ((thesis = $true) | (((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ stepsa))) @ X0)) != $true) | (((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ X0)) != $true))),
% 0.50/0.43 inference(flattening,[],[f1051])).
% 0.50/0.43 thf(f1232,plain,(
% 0.50/0.43 ! [X0 : stream @ product_prod @ state @ rule] : ((((abstra523868654_epath @ rule @ state @ eff @ rules @ X0)) != $true) | ((((member @ rule @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (sset @ rule @ rules))) = $true) & (($true = ((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (sK69 @ X0)))) & (((abstra523868654_epath @ rule @ state @ eff @ rules @ (stl @ product_prod @ state @ rule @ X0))) = $true) & ($true = ((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ X0))) @ (sK69 @ X0)))))))),
% 0.50/0.43 inference(skolemize,[status(esa),new_symbols(skolem,[vAPP]),skolemize(X7,sK3 @ X0 @ X1 @ X5)],[f988])).
% 0.50/0.43 thf(f1546,plain,(
% 0.50/0.43 (thesis != $true)),
% 0.50/0.43 inference(cnf_transformation,[],[f831])).
% 0.50/0.43 thf(f1554,plain,(
% 0.50/0.43 ( ! [X0 : stream @ product_prod @ state @ rule] : (($true = ((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ X0))) @ (sK69 @ X0)))) | (((abstra523868654_epath @ rule @ state @ eff @ rules @ X0)) != $true)) )),
% 0.50/0.43 inference(cnf_transformation,[],[f1232])).
% 0.50/0.43 thf(f1556,plain,(
% 0.50/0.43 ( ! [X0 : stream @ product_prod @ state @ rule] : (($true = ((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ X0)) @ (sK69 @ X0)))) | (((abstra523868654_epath @ rule @ state @ eff @ rules @ X0)) != $true)) )),
% 0.50/0.43 inference(cnf_transformation,[],[f1232])).
% 0.50/0.43 thf(f1635,plain,(
% 0.50/0.43 ( ! [X0 : fset @ state] : ((((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ X0)) != $true) | (thesis = $true) | (((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ stepsa))) @ X0)) != $true)) )),
% 0.50/0.43 inference(cnf_transformation,[],[f1052])).
% 0.50/0.43 thf(f1732,plain,(
% 0.50/0.43 (((abstra523868654_epath @ rule @ state @ eff @ rules @ stepsa)) = $true)),
% 0.50/0.43 inference(cnf_transformation,[],[f483])).
% 0.50/0.43 thf(f1960,definition,(
% 0.50/0.43 spl143_4 <=> ! [X0 : fset @ state] : ((((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ X0)) != $true) | (((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ stepsa))) @ X0)) != $true))),
% 0.50/0.43 introduced(definition,[new_symbols(definition,[spl143_4])],[avatar_definition])).
% 0.50/0.43 thf(f1961,plain,(
% 0.50/0.43 ( ! [X0 : fset @ state] : ((((eff @ (product_snd @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ stepsa)) @ X0)) != $true) | (((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ stepsa))) @ X0)) != $true)) ) | ~spl143_4),
% 0.50/0.43 inference(avatar_component_clause,[],[f1960])).
% 0.50/0.43 thf(f1963,definition,(
% 0.50/0.43 spl143_5 <=> (thesis = $true)),
% 0.50/0.43 introduced(definition,[new_symbols(definition,[spl143_5])],[avatar_definition])).
% 0.50/0.43 thf(f1966,plain,(
% 0.50/0.43 spl143_4 | spl143_5),
% 0.50/0.43 inference(avatar_split_clause,[],[f1635,f1963,f1960])).
% 0.50/0.43 thf(f2029,plain,(
% 0.50/0.43 ~spl143_5),
% 0.50/0.43 inference(avatar_split_clause,[],[f1546,f1963])).
% 0.50/0.43 thf(f2051,definition,(
% 0.50/0.43 spl143_23 <=> (((abstra523868654_epath @ rule @ state @ eff @ rules @ stepsa)) = $true)),
% 0.50/0.43 introduced(definition,[new_symbols(definition,[spl143_23])],[avatar_definition])).
% 0.50/0.43 thf(f2053,plain,(
% 0.50/0.43 (((abstra523868654_epath @ rule @ state @ eff @ rules @ stepsa)) = $true) | ~spl143_23),
% 0.50/0.43 inference(avatar_component_clause,[],[f2051])).
% 0.50/0.43 thf(f2054,plain,(
% 0.50/0.43 spl143_23),
% 0.50/0.43 inference(avatar_split_clause,[],[f1732,f2051])).
% 0.50/0.43 thf(f2154,plain,(
% 0.50/0.43 ($true != ((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ stepsa))) @ (sK69 @ stepsa)))) | ($true != $true) | (((abstra523868654_epath @ rule @ state @ eff @ rules @ stepsa)) != $true) | ~spl143_4),
% 0.50/0.43 inference(superposition,[],[f1961,f1556])).
% 0.50/0.43 thf(f2155,plain,(
% 0.50/0.43 (((abstra523868654_epath @ rule @ state @ eff @ rules @ stepsa)) != $true) | ($true != ((fmember @ state @ (product_fst @ state @ rule @ (shd @ product_prod @ state @ rule @ (stl @ product_prod @ state @ rule @ stepsa))) @ (sK69 @ stepsa)))) | ~spl143_4),
% 0.50/0.43 inference(trivial_inequality_removal,[],[f2154])).
% 0.50/0.43 thf(f2156,plain,(
% 0.50/0.43 (((abstra523868654_epath @ rule @ state @ eff @ rules @ stepsa)) != $true) | ~spl143_4),
% 0.50/0.43 inference(forward_subsumption_resolution,[],[f2155,f1554])).
% 0.50/0.43 thf(f2157,plain,(
% 0.50/0.43 $false | (~spl143_4 | ~spl143_23)),
% 0.50/0.43 inference(forward_subsumption_resolution,[],[f2156,f2053])).
% 0.50/0.43 thf(f2158,plain,(
% 0.50/0.43 ~spl143_4 | ~spl143_23),
% 0.50/0.43 inference(avatar_contradiction_clause,[],[f2157])).
% 0.50/0.43 cnf(s4, plain, spl143_4 | spl143_5, inference(sat_conversion,[],[f1966])).
% 0.50/0.43 cnf(s18, plain, ~spl143_5, inference(sat_conversion,[],[f2029])).
% 0.50/0.43 cnf(s23, plain, spl143_23, inference(sat_conversion,[],[f2054])).
% 0.50/0.43 cnf(s39, plain, ~spl143_4 | ~spl143_23, inference(sat_conversion,[],[f2158])).
% 0.50/0.43 cnf(s40, plain, ~spl143_4, inference(rat,[],[s39,s23])).
% 0.50/0.43 cnf(s44, plain, $false, inference(rat,[],[s4,s18,s40])).
% 0.50/0.43 thf(f2159,plain,(
% 0.50/0.43 $false),
% 0.50/0.43 inference(avatar_sat_refutation,[],[s44])).
% 0.50/0.43 % SZS output end Proof for theBenchmark
% 0.50/0.43 % (1634991)------------------------------
% 0.50/0.43 % (1634991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.50/0.43 % (1634991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.50/0.43 % (1634991)CaDiCaL version: 2.1.3
% 0.50/0.43 % (1634991)Termination reason: Refutation
% 0.50/0.43 % (1634991)Time elapsed: 0.093 s
% 0.50/0.43 % (1634991)Peak memory usage: 15 MB
% 0.50/0.43 % (1634991)Instructions burned: 181 (million)
% 0.50/0.43 % (1634983)Success in time 0.148 s
% 0.50/0.43 % Vampire exiting
%------------------------------------------------------------------------------