%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : DAT148^1 : 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 : n016.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 07:48:25 AM UTC 2026
% Result : Theorem 0.47s 0.45s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT148^1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n016.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 18:06:35 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.21/0.29 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
% 0.47/0.43 % (702922)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.47/0.43 % (702933)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.47/0.43 % (702933)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
% 0.47/0.43 % (702928)lrs+10_16_si=on:nwc=1.5:random_seed=2474616089:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.47/0.43 % (702930)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=3991258963: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)
% 0.47/0.43 % (702927)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3174492328:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.47/0.43 % (702929)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2497347919:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.47/0.43 % (702931)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2526695833:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.47/0.43 % (702932)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=61662417:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.47/0.43 % (702933)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=2861272484:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.47/0.43 % (702928)Instruction limit reached!
% 0.47/0.43 % (702928)------------------------------
% 0.47/0.43 % (702928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.43 % (702928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.43 % (702928)CaDiCaL version: 2.1.3
% 0.47/0.43 % (702928)Termination reason: Instruction limit
% 0.47/0.43 % (702928)Termination phase: shuffling
% 0.47/0.43 % (702928)Time elapsed: 0.005 s
% 0.47/0.43 % (702928)Peak memory usage: 10 MB
% 0.47/0.43 % (702928)Instructions burned: 18 (million)
% 0.47/0.43 % (702929)Instruction limit reached!
% 0.47/0.43 % (702929)------------------------------
% 0.47/0.43 % (702929)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.43 % (702929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.43 % (702929)CaDiCaL version: 2.1.3
% 0.47/0.43 % (702929)Termination reason: Instruction limit
% 0.47/0.43 % (702929)Termination phase: shuffling
% 0.47/0.43 % (702929)Time elapsed: 0.003 s
% 0.47/0.43 % (702929)Peak memory usage: 10 MB
% 0.47/0.43 % (702929)Instructions burned: 6 (million)
% 0.47/0.43 % (702931)Instruction limit reached!
% 0.47/0.43 % (702931)------------------------------
% 0.47/0.43 % (702931)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.43 % (702931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.43 % (702931)CaDiCaL version: 2.1.3
% 0.47/0.43 % (702931)Termination reason: Instruction limit
% 0.47/0.43 % (702931)Termination phase: shuffling
% 0.47/0.43 % (702931)Time elapsed: 0.012 s
% 0.47/0.43 % (702931)Peak memory usage: 10 MB
% 0.47/0.43 % (702931)Instructions burned: 24 (million)
% 0.47/0.43 % (702941)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1787961571:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.47/0.43 % (702941)Instruction limit reached!
% 0.47/0.43 % (702941)------------------------------
% 0.47/0.43 % (702941)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.43 % (702941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.43 % (702941)CaDiCaL version: 2.1.3
% 0.47/0.43 % (702941)Termination reason: Instruction limit
% 0.47/0.43 % (702941)Termination phase: shuffling
% 0.47/0.43 % (702941)Time elapsed: 0.001 s
% 0.47/0.43 % (702941)Peak memory usage: 10 MB
% 0.47/0.43 % (702941)Instructions burned: 3 (million)
% 0.47/0.43 % (702942)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1489948338:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.47/0.43 % (702944)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.47/0.44 % (702944)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4058413630:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.47/0.44 % (702942)Instruction limit reached!
% 0.47/0.44 % (702942)------------------------------
% 0.47/0.44 % (702942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (702942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (702942)CaDiCaL version: 2.1.3
% 0.47/0.44 % (702942)Termination reason: Instruction limit
% 0.47/0.44 % (702942)Termination phase: shuffling
% 0.47/0.44 % (702942)Time elapsed: 0.003 s
% 0.47/0.44 % (702942)Peak memory usage: 10 MB
% 0.47/0.44 % (702942)Instructions burned: 6 (million)
% 0.47/0.44 % (702944)Instruction limit reached!
% 0.47/0.44 % (702944)------------------------------
% 0.47/0.44 % (702944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (702944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (702944)CaDiCaL version: 2.1.3
% 0.47/0.44 % (702944)Termination reason: Instruction limit
% 0.47/0.44 % (702944)Termination phase: shuffling
% 0.47/0.44 % (702944)Time elapsed: 0.003 s
% 0.47/0.44 % (702944)Peak memory usage: 10 MB
% 0.47/0.44 % (702944)Instructions burned: 11 (million)
% 0.47/0.44 % (702932)Instruction limit reached!
% 0.47/0.44 % (702932)------------------------------
% 0.47/0.44 % (702932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (702945)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2640015275:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.47/0.44 % (702932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (702932)CaDiCaL version: 2.1.3
% 0.47/0.44 % (702932)Termination reason: Instruction limit
% 0.47/0.44 % (702932)Termination phase: Property scanning
% 0.47/0.44 % (702932)Time elapsed: 0.035 s
% 0.47/0.44 % (702932)Peak memory usage: 11 MB
% 0.47/0.44 % (702932)Instructions burned: 76 (million)
% 0.47/0.44 % (702927)Instruction limit reached!
% 0.47/0.44 % (702927)------------------------------
% 0.47/0.44 % (702927)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (702927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (702927)CaDiCaL version: 2.1.3
% 0.47/0.44 % (702927)Termination reason: Instruction limit
% 0.47/0.44 % (702927)Termination phase: Preprocessing 1
% 0.47/0.44 % (702927)Time elapsed: 0.041 s
% 0.47/0.44 % (702927)Peak memory usage: 12 MB
% 0.47/0.44 % (702927)Instructions burned: 87 (million)
% 0.47/0.44 % (702948)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
% 0.47/0.44 % (702948)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.47/0.44 % (702945)Instruction limit reached!
% 0.47/0.44 % (702945)------------------------------
% 0.47/0.44 % (702945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (702945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (702945)CaDiCaL version: 2.1.3
% 0.47/0.44 % (702945)Termination reason: Instruction limit
% 0.47/0.44 % (702945)Termination phase: shuffling
% 0.47/0.44 % (702945)Time elapsed: 0.007 s
% 0.47/0.44 % (702945)Peak memory usage: 10 MB
% 0.47/0.44 % (702945)Instructions burned: 14 (million)
% 0.47/0.44 % (702948)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2955858336:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.47/0.44 % (702949)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=239991714:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.47/0.44 % (702952)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.47/0.44 % (702952)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=1240340027:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.47/0.44 % (702952)Instruction limit reached!
% 0.47/0.44 % (702952)------------------------------
% 0.47/0.44 % (702952)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (702952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (702952)CaDiCaL version: 2.1.3
% 0.47/0.44 % (702952)Termination reason: Instruction limit
% 0.47/0.44 % (702952)Termination phase: shuffling
% 0.47/0.44 % (702952)Time elapsed: 0.001 s
% 0.47/0.44 % (702952)Peak memory usage: 10 MB
% 0.47/0.44 % (702952)Instructions burned: 2 (million)
% 0.47/0.44 % (702951)lrs+10_1_si=on:cs=on:random_seed=3040338021:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.47/0.44 % (702951)Instruction limit reached!
% 0.47/0.44 % (702951)------------------------------
% 0.47/0.44 % (702951)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (702951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (702951)CaDiCaL version: 2.1.3
% 0.47/0.44 % (702951)Termination reason: Instruction limit
% 0.47/0.44 % (702951)Termination phase: shuffling
% 0.47/0.44 % (702951)Time elapsed: 0.005 s
% 0.47/0.44 % (702951)Peak memory usage: 10 MB
% 0.47/0.44 % (702951)Instructions burned: 10 (million)
% 0.47/0.44 % (702948)Instruction limit reached!
% 0.47/0.44 % (702948)------------------------------
% 0.47/0.44 % (702948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.44 % (702948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.44 % (702948)CaDiCaL version: 2.1.3
% 0.47/0.44 % (702948)Termination reason: Instruction limit
% 0.47/0.44 % (702948)Termination phase: shuffling
% 0.47/0.44 % (702948)Time elapsed: 0.014 s
% 0.47/0.44 % (702948)Peak memory usage: 11 MB
% 0.47/0.44 % (702948)Instructions burned: 28 (million)
% 0.47/0.44 % (702953)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3477968272:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.47/0.44 % (702957)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2991109065:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.47/0.45 % (702933)Instruction limit reached!
% 0.47/0.45 % (702933)------------------------------
% 0.47/0.45 % (702933)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.45 % (702933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.45 % (702933)CaDiCaL version: 2.1.3
% 0.47/0.45 % (702933)Termination reason: Instruction limit
% 0.47/0.45 % (702933)Termination phase: Function definition elimination
% 0.47/0.45 % (702933)Time elapsed: 0.075 s
% 0.47/0.45 % (702933)Peak memory usage: 13 MB
% 0.47/0.45 % (702933)Instructions burned: 159 (million)
% 0.47/0.45 % (702959)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3391082270:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.47/0.45 % (702960)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=753091559:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.47/0.45 % (702953)Instruction limit reached!
% 0.47/0.45 % (702953)------------------------------
% 0.47/0.45 % (702953)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.45 % (702953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.45 % (702953)CaDiCaL version: 2.1.3
% 0.47/0.45 % (702953)Termination reason: Instruction limit
% 0.47/0.45 % (702953)Termination phase: shuffling
% 0.47/0.45 % (702953)Time elapsed: 0.019 s
% 0.47/0.45 % (702953)Peak memory usage: 11 MB
% 0.47/0.45 % (702953)Instructions burned: 39 (million)
% 0.47/0.45 % (702960)Instruction limit reached!
% 0.47/0.45 % (702960)------------------------------
% 0.47/0.45 % (702960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.45 % (702960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.45 % (702960)CaDiCaL version: 2.1.3
% 0.47/0.45 % (702960)Termination reason: Instruction limit
% 0.47/0.45 % (702960)Termination phase: shuffling
% 0.47/0.45 % (702960)Time elapsed: 0.007 s
% 0.47/0.45 % (702960)Peak memory usage: 10 MB
% 0.47/0.45 % (702960)Instructions burned: 15 (million)
% 0.47/0.45 % (702949)Instruction limit reached!
% 0.47/0.45 % (702949)------------------------------
% 0.47/0.45 % (702949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.45 % (702949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.45 % (702949)CaDiCaL version: 2.1.3
% 0.47/0.45 % (702949)Termination reason: Instruction limit
% 0.47/0.45 % (702949)Termination phase: Property scanning
% 0.47/0.45 % (702949)Time elapsed: 0.040 s
% 0.47/0.45 % (702949)Peak memory usage: 11 MB
% 0.47/0.45 % (702949)Instructions burned: 86 (million)
% 0.47/0.45 % (702959)Instruction limit reached!
% 0.47/0.45 % (702959)------------------------------
% 0.47/0.45 % (702959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.45 % (702959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.45 % (702959)CaDiCaL version: 2.1.3
% 0.47/0.45 % (702959)Termination reason: Instruction limit
% 0.47/0.45 % (702959)Termination phase: shuffling
% 0.47/0.45 % (702959)Time elapsed: 0.012 s
% 0.47/0.45 % (702959)Peak memory usage: 10 MB
% 0.47/0.45 % (702959)Instructions burned: 25 (million)
% 0.47/0.45 % (702963)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3328698855:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.47/0.45 % (702957) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-702922-702957"...
% 0.47/0.45 % (702966)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2766699715:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.47/0.45 % (702957)...printing done.
% 0.47/0.45 % (702957)Refutation found. Thanks to Tanya!
% 0.47/0.45 % SZS status Theorem for theBenchmark
% 0.47/0.45 % SZS output start Proof for theBenchmark
% 0.47/0.45 thf(type_def_5, type, coinductive_llist: $tType > $tType).
% 0.47/0.45 thf(type_def_6, type, stream: $tType > $tType).
% 0.47/0.45 thf(type_def_7, type, set: $tType > $tType).
% 0.47/0.45 thf(type_def_8, type, itself: $tType > $tType).
% 0.47/0.45 thf(type_def_9, type, b: $tType).
% 0.47/0.45 thf(type_def_10, type, a: $tType).
% 0.47/0.45 thf(type_def_11, type, sTfun: ($tType * $tType) > $tType).
% 0.47/0.45 thf(func_def_0, type, bNF_rel_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1 > $o) > (X2 > X3 > $o) > (X0 > X2) > (X1 > X3) > $o))).
% 0.47/0.45 thf(func_def_1, type, basic_pred_fun: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X1 > $o) > (X0 > X1) > $o))).
% 0.47/0.45 thf(func_def_2, type, coinductive_iterates: !>[X0: $tType]:(((X0 > X0) > X0 > coinductive_llist @ X0))).
% 0.47/0.45 thf(func_def_3, type, coinductive_lfinite: !>[X0: $tType]:((coinductive_llist @ X0 > $o))).
% 0.47/0.45 thf(func_def_4, type, coindu1381640503_llist: !>[X0: $tType, X1: $tType]:((X0 > (X1 > coinductive_llist @ X1 > X0) > coinductive_llist @ X1 > X0))).
% 0.47/0.45 thf(func_def_5, type, coindu1259883913_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > $o) > (X0 > coinductive_llist @ X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 0.47/0.45 thf(func_def_6, type, coindu1486289336t_all2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > coinductive_llist @ X0 > coinductive_llist @ X1 > $o))).
% 0.47/0.45 thf(func_def_7, type, coindu543516966_llist: !>[X0: $tType]:(((X0 > $o) > coinductive_llist @ X0 > $o))).
% 0.47/0.45 thf(func_def_8, type, coindu1441602521_llist: !>[X0: $tType, X1: $tType]:(((X0 > $o) > (X0 > X1) > (X0 > X0) > X0 > coinductive_llist @ X1))).
% 0.47/0.45 thf(func_def_9, type, coindu1724414836stream: !>[X0: $tType]:((stream @ X0 > coinductive_llist @ X0))).
% 0.47/0.45 thf(func_def_10, type, coindu1183105481stream: !>[X0: $tType]:((coinductive_llist @ X0 > stream @ X0 > $o))).
% 0.47/0.45 thf(func_def_11, type, coindu773941317stream: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > coinductive_llist @ X0 > stream @ X1 > $o))).
% 0.47/0.45 thf(func_def_12, type, coindu2010755910_llist: !>[X0: $tType]:((coinductive_llist @ X0 > stream @ X0))).
% 0.47/0.45 thf(func_def_13, type, coindu139217191stream: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X0) > X0 > stream @ X1))).
% 0.47/0.45 thf(func_def_14, type, comple1396247847notone: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > $o))).
% 0.47/0.45 thf(func_def_15, type, comp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X2 > X0) > X2 > X1))).
% 0.47/0.45 thf(func_def_16, type, map_fun: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X2 > X3) > (X1 > X2) > X0 > X3))).
% 0.47/0.45 thf(func_def_17, type, if: !>[X0: $tType]:(($o > X0 > X0 > X0))).
% 0.47/0.45 thf(func_def_18, type, inf_inf: !>[X0: $tType]:((X0 > X0 > X0))).
% 0.47/0.45 thf(func_def_19, type, rel_pred_comp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X1 > $o) > X0 > $o))).
% 0.47/0.45 thf(func_def_20, type, ord_less_eq: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.47/0.45 thf(func_def_21, type, partial_fun_ord: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X2 > X0) > (X2 > X1) > $o))).
% 0.47/0.45 thf(func_def_22, type, partial_img_ord: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1) > (X1 > X1 > X2) > X0 > X0 > X2))).
% 0.47/0.45 thf(func_def_23, type, partial_mk_less: !>[X0: $tType]:(((X0 > X0 > $o) > X0 > X0 > $o))).
% 0.47/0.45 thf(func_def_24, type, type: !>[X0: $tType]:(itself @ X0)).
% 0.47/0.45 thf(func_def_25, type, bex1_rel: !>[X0: $tType]:(((X0 > X0 > $o) > (X0 > $o) > $o))).
% 0.47/0.45 thf(func_def_26, type, quotient3: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X1) > (X1 > X0) > $o))).
% 0.47/0.45 thf(func_def_27, type, domainp: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > X0 > $o))).
% 0.47/0.45 thf(func_def_28, type, powp: !>[X0: $tType]:(((X0 > $o) > set @ X0 > $o))).
% 0.47/0.45 thf(func_def_29, type, reflp: !>[X0: $tType]:(((X0 > X0 > $o) > $o))).
% 0.47/0.45 thf(func_def_30, type, relcompp: !>[X0: $tType, X1: $tType, X2: $tType]:(((X0 > X1 > $o) > (X1 > X2 > $o) > X0 > X2 > $o))).
% 0.47/0.45 thf(func_def_31, type, ball: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 0.47/0.45 thf(func_def_32, type, bex: !>[X0: $tType]:((set @ X0 > (X0 > $o) > $o))).
% 0.47/0.45 thf(func_def_33, type, collect: !>[X0: $tType]:(((X0 > $o) > set @ X0))).
% 0.47/0.45 thf(func_def_34, type, siterate: !>[X0: $tType]:(((X0 > X0) > X0 > stream @ X0))).
% 0.47/0.45 thf(func_def_35, type, case_stream: !>[X0: $tType, X1: $tType]:(((X0 > stream @ X0 > X1) > stream @ X0 > X1))).
% 0.47/0.45 thf(func_def_36, type, corec_stream: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > $o) > (X0 > stream @ X1) > (X0 > X0) > X0 > stream @ X1))).
% 0.47/0.45 thf(func_def_37, type, pred_stream: !>[X0: $tType]:(((X0 > $o) > stream @ X0 > $o))).
% 0.47/0.45 thf(func_def_38, type, stream_all2: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > stream @ X0 > stream @ X1 > $o))).
% 0.47/0.45 thf(func_def_39, type, bi_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 0.47/0.45 thf(func_def_40, type, left_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 0.47/0.45 thf(func_def_41, type, rev_implies: ($o > $o > $o)).
% 0.47/0.45 thf(func_def_42, type, right_total: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > $o))).
% 0.47/0.45 thf(func_def_43, type, transfer_bforall: !>[X0: $tType]:(((X0 > $o) > (X0 > $o) > $o))).
% 0.47/0.45 thf(func_def_44, type, transfer_forall: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.47/0.45 thf(func_def_45, type, type_definition: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X1 > X0) > set @ X1 > $o))).
% 0.47/0.45 thf(func_def_46, type, member: !>[X0: $tType]:((X0 > set @ X0 > $o))).
% 0.47/0.45 thf(func_def_47, type, xb: (a > coinductive_llist @ b)).
% 0.47/0.45 thf(func_def_48, type, yb: (a > stream @ b)).
% 0.47/0.45 thf(func_def_50, type, vIMP: ($o > $o > $o)).
% 0.47/0.45 thf(func_def_51, type, vPI: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.47/0.45 thf(func_def_52, type, vSIGMA: !>[X0: $tType]:(((X0 > $o) > $o))).
% 0.47/0.45 thf(func_def_53, type, db2: !>[X0: $tType]:(X0)).
% 0.47/0.45 thf(func_def_54, type, db0: !>[X0: $tType]:(X0)).
% 0.47/0.45 thf(func_def_55, type, db1: !>[X0: $tType]:(X0)).
% 0.47/0.45 thf(func_def_56, type, vLAM: !>[X0: $tType, X1: $tType]:((X1) > (X0 > X1))).
% 0.47/0.45 thf(func_def_59, type, vEQ: !>[X0: $tType]:((X0 > X0 > $o))).
% 0.47/0.45 thf(func_def_60, type, vAND: ($o > $o > $o)).
% 0.47/0.45 thf(func_def_61, type, vNOT: ($o > $o)).
% 0.47/0.45 thf(func_def_62, type, db4: !>[X0: $tType]:(X0)).
% 0.47/0.45 thf(func_def_63, type, db3: !>[X0: $tType]:(X0)).
% 0.47/0.45 thf(func_def_64, type, db5: !>[X0: $tType]:(X0)).
% 0.47/0.45 thf(func_def_65, type, db6: !>[X0: $tType]:(X0)).
% 0.47/0.45 thf(func_def_66, type, sK0: !>[X0: $tType, X1: $tType]:(((X0 > X1) > (X0 > X1) > X0))).
% 0.47/0.45 thf(func_def_67, type, sK1: !>[X0: $tType]:(((coinductive_llist @ X0 > $o) > stream @ X0))).
% 0.47/0.45 thf(func_def_68, type, sK2: !>[X0: $tType]:(((X0 > X0 > $o) > X0))).
% 0.47/0.45 thf(func_def_69, type, sK3: !>[X0: $tType]:((coinductive_llist @ X0 > stream @ X0))).
% 0.47/0.45 thf(func_def_70, type, sK4: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X0 > X3 > $o) > (X3 > X2) > (X1 > X2 > $o) > X0))).
% 0.47/0.45 thf(func_def_71, type, sK5: !>[X0: $tType, X1: $tType, X2: $tType, X3: $tType]:(((X0 > X1) > (X0 > X3 > $o) > (X3 > X2) > (X1 > X2 > $o) > X3))).
% 0.47/0.45 thf(func_def_72, type, sK6: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X1))).
% 0.47/0.45 thf(func_def_73, type, sK7: !>[X0: $tType, X1: $tType]:(((X0 > X1 > $o) > (X0 > X1 > $o) > X0))).
% 0.47/0.45 thf(func_def_74, type, sK8: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.47/0.45 thf(func_def_75, type, sK9: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.47/0.45 thf(func_def_76, type, sK10: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > X0))).
% 0.47/0.45 thf(func_def_77, type, sK11: !>[X0: $tType, X1: $tType]:(((X0 > X0 > $o) > (X0 > X0 > $o) > (X1 > X1 > $o) > (X0 > X1) > X0))).
% 0.47/0.45 thf(func_def_78, type, sK12: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > (X1 > X1 > $o) > X1))).
% 0.47/0.45 thf(func_def_79, type, sK13: !>[X0: $tType, X1: $tType]:(((X1 > X0) > (X0 > X0 > $o) > (X1 > X1 > $o) > X1))).
% 0.47/0.45 thf(func_def_80, type, sK14: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.47/0.45 thf(func_def_81, type, sK15: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.47/0.45 thf(func_def_82, type, sK16: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X0))).
% 0.47/0.45 thf(func_def_83, type, sK17: !>[X0: $tType, X1: $tType]:(((X1 > X0 > $o) > (X1 > X0 > $o) > X1))).
% 0.47/0.45 thf(func_def_84, type, sK18: a).
% 0.47/0.45 thf(f2,axiom,(
% 0.47/0.45 ! [X0 : $tType,X1 : $tType,X2 : $tType] : (comp @ X2 @ X1 @ X0 = (^[X3 : (X2 > X1), X4 : (X0 > X2), X5 : X0] : ((X3 @ (X4 @ X5)))))),
% 0.47/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_comp__apply)).
% 0.47/0.45 thf(f38,axiom,(
% 0.47/0.45 ! [X0 : $tType,X1 : $tType,X2 : $tType,X6 : (X2 > X1),X7 : X2,X4 : (X0 > X1 > $o),X3 : (X2 > X2 > $o),X5 : (X2 > X0)] : ((bNF_rel_fun @ X2 @ X2 @ X0 @ X1 @ X3 @ X4 @ X5 @ X6) => ((X3 @ X7 @ X7) => (X4 @ (X5 @ X7) @ (X6 @ X7))))),
% 0.47/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_rel__funD2)).
% 0.47/0.45 thf(f260,axiom,(
% 0.47/0.45 (bNF_rel_fun @ a @ a @ coinductive_llist @ b @ stream @ b @ (^[X0 : a, X1 : a] : ((X0 = X1))) @ (^[X2 : coinductive_llist @ b, X3 : stream @ b] : ((X2 = ((coindu1724414836stream @ b @ X3))))) @ xb @ yb)),
% 0.47/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0)).
% 0.47/0.45 thf(f261,conjecture,(
% 0.47/0.45 (xb = ((comp @ stream @ b @ coinductive_llist @ b @ a @ coindu1724414836stream @ b @ yb)))),
% 0.47/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1)).
% 0.47/0.45 thf(f262,negated_conjecture,(
% 0.47/0.45 ~ (xb = ((comp @ stream @ b @ coinductive_llist @ b @ a @ coindu1724414836stream @ b @ yb)))),
% 0.47/0.45 inference(negated_conjecture,[status(cth)],[f261])).
% 0.47/0.45 thf(f285,plain,(
% 0.47/0.45 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X2 > X1),X4 : X2,X5 : (X0 > X1 > $o),X6 : (X2 > X2 > $o),X7 : (X2 > X0)] : ((bNF_rel_fun @ X2 @ X2 @ X0 @ X1 @ X6 @ X5 @ X7 @ X3) => ((X6 @ X4 @ X4) => (X5 @ (X7 @ X4) @ (X3 @ X4))))),
% 0.47/0.45 inference(rectify,[],[f38])).
% 0.47/0.45 thf(f286,plain,(
% 0.47/0.45 ! [X1 : $tType,X2 : $tType,X0 : $tType,X5 : (X0 > X1 > $o),X7 : (X2 > X0),X3 : (X2 > X1),X4 : X2,X6 : (X2 > X2 > $o)] : (($true = ((bNF_rel_fun @ X2 @ X2 @ X0 @ X1 @ X6 @ X5 @ X7 @ X3))) => (($true = ((X6 @ X4 @ X4))) => ($true = ((X5 @ (X7 @ X4) @ (X3 @ X4))))))),
% 0.47/0.45 inference(fool_elimination,[],[f285])).
% 0.47/0.45 thf(f323,plain,(
% 0.47/0.45 ! [X1 : $tType,X2 : $tType,X0 : $tType] : (comp @ X2 @ X1 @ X0 = (^[Y0 : X2 > X1]: ((^[Y1 : X0 > X2]: ((^[Y2 : X0]: (Y0 @ (Y1 @ Y2))))))))),
% 0.47/0.45 inference(fool_elimination,[],[f2])).
% 0.47/0.45 thf(f563,plain,(
% 0.47/0.45 (bNF_rel_fun @ a @ a @ coinductive_llist @ b @ stream @ b @ (^[X0 : a, X1 : a] : ((X0 = X1))) @ (^[X2 : coinductive_llist @ b, X3 : stream @ b] : ((X2 = ((coindu1724414836stream @ b @ X3))))) @ xb @ yb)),
% 0.47/0.45 inference(rectify,[],[f260])).
% 0.47/0.45 thf(f564,plain,(
% 0.47/0.45 ($true = ((bNF_rel_fun @ a @ a @ coinductive_llist @ b @ stream @ b @ (^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ (^[Y0 : coinductive_llist @ b]: ((^[Y1 : stream @ b]: ((coindu1724414836stream @ b @ Y1) = Y0)))) @ xb @ yb)))),
% 0.47/0.45 inference(fool_elimination,[],[f563])).
% 0.47/0.45 thf(f722,plain,(
% 0.47/0.45 (xb != ((comp @ stream @ b @ coinductive_llist @ b @ a @ coindu1724414836stream @ b @ yb)))),
% 0.47/0.45 inference(flattening,[],[f262])).
% 0.47/0.45 thf(f758,plain,(
% 0.47/0.45 ! [X1 : $tType,X2 : $tType,X0 : $tType,X5 : (X0 > X1 > $o),X7 : (X2 > X0),X3 : (X2 > X1),X4 : X2,X6 : (X2 > X2 > $o)] : ((($true = ((X5 @ (X7 @ X4) @ (X3 @ X4)))) | ($true != ((X6 @ X4 @ X4)))) | ($true != ((bNF_rel_fun @ X2 @ X2 @ X0 @ X1 @ X6 @ X5 @ X7 @ X3))))),
% 0.47/0.45 inference(ennf_transformation,[],[f286])).
% 0.47/0.45 thf(f759,plain,(
% 0.47/0.45 ! [X0 : $tType,X2 : $tType,X1 : $tType,X7 : (X2 > X0),X5 : (X0 > X1 > $o),X3 : (X2 > X1),X4 : X2,X6 : (X2 > X2 > $o)] : (($true = ((X5 @ (X7 @ X4) @ (X3 @ X4)))) | ($true != ((X6 @ X4 @ X4))) | ($true != ((bNF_rel_fun @ X2 @ X2 @ X0 @ X1 @ X6 @ X5 @ X7 @ X3))))),
% 0.47/0.45 inference(flattening,[],[f758])).
% 0.47/0.45 thf(f782,plain,(
% 0.47/0.45 ! [X0 : $tType,X1 : $tType,X2 : $tType] : (comp @ X1 @ X0 @ X2 = (^[Y0 : X1 > X0]: ((^[Y1 : X2 > X1]: ((^[Y2 : X2]: (Y0 @ (Y1 @ Y2))))))))),
% 0.47/0.45 inference(rectify,[],[f323])).
% 0.47/0.45 thf(f804,plain,(
% 0.47/0.45 ! [X0 : $tType,X1 : $tType,X2 : $tType,X3 : (X1 > X0),X4 : (X0 > X2 > $o),X5 : (X1 > X2),X6 : X1,X7 : (X1 > X1 > $o)] : (($true = ((X4 @ (X3 @ X6) @ (X5 @ X6)))) | ($true != ((X7 @ X6 @ X6))) | ($true != ((bNF_rel_fun @ X1 @ X1 @ X0 @ X2 @ X7 @ X4 @ X3 @ X5))))),
% 0.47/0.45 inference(rectify,[],[f759])).
% 0.47/0.45 thf(f828,plain,(
% 0.47/0.45 ( ! [X1 : $tType,X0 : $tType,X2 : $tType] : ((comp @ X1 @ X0 @ X2 = (^[Y0 : X1 > X0]: ((^[Y1 : X2 > X1]: ((^[Y2 : X2]: (Y0 @ (Y1 @ Y2))))))))) )),
% 0.47/0.45 inference(cnf_transformation,[],[f782])).
% 0.47/0.45 thf(f852,plain,(
% 0.47/0.45 ( ! [X1 : $tType,X0 : $tType,X2 : $tType,X3 : (X1 > X0),X6 : X1,X7 : (X1 > X1 > $o),X4 : (X0 > X2 > $o),X5 : (X1 > X2)] : (($true != ((bNF_rel_fun @ X1 @ X1 @ X0 @ X2 @ X7 @ X4 @ X3 @ X5))) | ($true = ((X4 @ (X3 @ X6) @ (X5 @ X6)))) | ($true != ((X7 @ X6 @ X6)))) )),
% 0.47/0.45 inference(cnf_transformation,[],[f804])).
% 0.47/0.45 thf(f873,plain,(
% 0.47/0.45 (xb != ((comp @ stream @ b @ coinductive_llist @ b @ a @ coindu1724414836stream @ b @ yb)))),
% 0.47/0.45 inference(cnf_transformation,[],[f722])).
% 0.47/0.45 thf(f881,plain,(
% 0.47/0.45 ($true = ((bNF_rel_fun @ a @ a @ coinductive_llist @ b @ stream @ b @ (^[Y0 : a]: ((^[Y1 : a]: (Y0 = Y1)))) @ (^[Y0 : coinductive_llist @ b]: ((^[Y1 : stream @ b]: ((coindu1724414836stream @ b @ Y1) = Y0)))) @ xb @ yb)))),
% 0.47/0.45 inference(cnf_transformation,[],[f564])).
% 0.47/0.45 thf(f914,plain,(
% 0.47/0.45 (xb != (((^[Y0 : stream @ b > coinductive_llist @ b]: ((^[Y1 : a > stream @ b]: ((^[Y2 : a]: (Y0 @ (Y1 @ Y2))))))) @ coindu1724414836stream @ b @ yb)))),
% 0.47/0.45 inference(definition_unfolding,[],[f873,f828])).
% 0.47/0.45 thf(f957,plain,(
% 0.47/0.45 ($true = ((bNF_rel_fun @ a @ a @ coinductive_llist @ b @ stream @ b @ = @ (^[Y0 : coinductive_llist @ b]: ((^[Y1 : stream @ b]: ((coindu1724414836stream @ b @ Y1) = Y0)))) @ xb @ yb)))),
% 0.47/0.45 inference(beta-eta_normalization,[],[f881])).
% 0.47/0.45 thf(f958,plain,(
% 0.47/0.45 (xb != (^[Y0 : a]: (coindu1724414836stream @ b @ (yb @ Y0))))),
% 0.47/0.45 inference(beta-eta_normalization,[],[f914])).
% 0.47/0.45 thf(f959,plain,(
% 0.47/0.45 ((((^[Y0 : a]: (coindu1724414836stream @ b @ (yb @ Y0))) @ sK18)) != ((xb @ sK18)))),
% 0.47/0.45 inference(negative_extensionality,[],[f958])).
% 0.47/0.45 thf(f960,plain,(
% 0.47/0.45 (((xb @ sK18)) != ((coindu1724414836stream @ b @ (yb @ sK18))))),
% 0.47/0.45 inference(beta-eta_normalization,[],[f959])).
% 0.47/0.45 thf(f961,plain,(
% 0.47/0.45 ( ! [X0 : a] : (($true != $true) | ($true != ((X0 = X0))) | ((((^[Y0 : coinductive_llist @ b]: ((^[Y1 : stream @ b]: ((coindu1724414836stream @ b @ Y1) = Y0)))) @ (xb @ X0) @ (yb @ X0))) = $true)) )),
% 0.47/0.45 inference(superposition,[],[f852,f957])).
% 0.47/0.45 thf(f983,plain,(
% 0.47/0.45 ( ! [X0 : a] : ((X0 != X0) | ($true != $true) | ((((^[Y0 : coinductive_llist @ b]: ((^[Y1 : stream @ b]: ((coindu1724414836stream @ b @ Y1) = Y0)))) @ (xb @ X0) @ (yb @ X0))) = $true)) )),
% 0.47/0.45 inference(equality_proxy_clausification,[],[f961])).
% 0.47/0.45 thf(f984,plain,(
% 0.47/0.45 ( ! [X0 : a] : (((((^[Y0 : coinductive_llist @ b]: ((^[Y1 : stream @ b]: ((coindu1724414836stream @ b @ Y1) = Y0)))) @ (xb @ X0) @ (yb @ X0))) = $true)) )),
% 0.47/0.45 inference(trivial_inequality_removal,[],[f983])).
% 0.47/0.45 thf(f985,plain,(
% 0.47/0.45 ( ! [X0 : a] : (($true = (((coindu1724414836stream @ b @ (yb @ X0)) = (xb @ X0))))) )),
% 0.47/0.45 inference(beta-eta_normalization,[],[f984])).
% 0.47/0.45 thf(f986,plain,(
% 0.47/0.45 ( ! [X0 : a] : ((((coindu1724414836stream @ b @ (yb @ X0))) = ((xb @ X0)))) )),
% 0.47/0.45 inference(equality_proxy_clausification,[],[f985])).
% 0.47/0.45 thf(f1003,plain,(
% 0.47/0.45 (((xb @ sK18)) != ((xb @ sK18)))),
% 0.47/0.45 inference(superposition,[],[f960,f986])).
% 0.47/0.45 thf(f1030,plain,(
% 0.47/0.45 $false),
% 0.47/0.45 inference(trivial_inequality_removal,[],[f1003])).
% 0.47/0.45 % SZS output end Proof for theBenchmark
% 0.47/0.45 % (702957)------------------------------
% 0.47/0.45 % (702957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.45 % (702957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.45 % (702957)CaDiCaL version: 2.1.3
% 0.47/0.45 % (702957)Termination reason: Refutation
% 0.47/0.45 % (702957)Time elapsed: 0.037 s
% 0.47/0.45 % (702957)Peak memory usage: 15 MB
% 0.47/0.45 % (702957)Instructions burned: 141 (million)
% 0.47/0.45 % (702922)Success in time 0.148 s
% 0.47/0.45 % Vampire exiting
%------------------------------------------------------------------------------