TSTP Solution File: CAT010-10 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : CAT010-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 19:01:15 EDT 2024
% Result : Unsatisfiable 1.53s 0.59s
% Output : Refutation 1.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 22 ( 22 unt; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-4 aty)
% Number of variables : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10239,plain,
$false,
inference(subsumption_resolution,[],[f10238,f16]) ).
fof(f16,axiom,
codomain(compose(a,b)) != codomain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_ab_equals_codomain_of_a) ).
fof(f10238,plain,
codomain(compose(a,b)) = codomain(a),
inference(forward_demodulation,[],[f10237,f925]) ).
fof(f925,plain,
codomain(a) = domain(codomain(a)),
inference(superposition,[],[f612,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f612,plain,
codomain(a) = ifeq2(true,true,domain(codomain(a)),codomain(a)),
inference(superposition,[],[f58,f41]) ).
fof(f41,plain,
true = there_exists(a),
inference(superposition,[],[f36,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_002) ).
fof(f36,plain,
true = ifeq(true,true,there_exists(a),true),
inference(superposition,[],[f7,f32]) ).
fof(f32,plain,
true = there_exists(domain(a)),
inference(superposition,[],[f31,f3]) ).
fof(f31,plain,
true = ifeq(true,true,there_exists(domain(a)),true),
inference(superposition,[],[f9,f15]) ).
fof(f15,axiom,
true = there_exists(compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_exists) ).
fof(f9,axiom,
! [X3,X4] : true = ifeq(there_exists(compose(X3,X4)),true,there_exists(domain(X3)),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_implies_domain) ).
fof(f7,axiom,
! [X3] : true = ifeq(there_exists(domain(X3)),true,there_exists(X3),true),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f58,plain,
! [X0] : codomain(X0) = ifeq2(there_exists(X0),true,domain(codomain(X0)),codomain(X0)),
inference(superposition,[],[f10,f14]) ).
fof(f14,axiom,
! [X3] : compose(codomain(X3),X3) = X3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',compose_codomain) ).
fof(f10,axiom,
! [X3,X4] : codomain(X4) = ifeq2(there_exists(compose(X3,X4)),true,domain(X3),codomain(X4)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f10237,plain,
codomain(compose(a,b)) = domain(codomain(a)),
inference(forward_demodulation,[],[f10131,f2]) ).
fof(f10131,plain,
codomain(compose(a,b)) = ifeq2(true,true,domain(codomain(a)),codomain(compose(a,b))),
inference(superposition,[],[f148,f15]) ).
fof(f148,plain,
! [X0,X1] : codomain(compose(X0,X1)) = ifeq2(there_exists(compose(X0,X1)),true,domain(codomain(X0)),codomain(compose(X0,X1))),
inference(superposition,[],[f10,f22]) ).
fof(f22,plain,
! [X0,X1] : compose(X0,X1) = compose(codomain(X0),compose(X0,X1)),
inference(superposition,[],[f12,f14]) ).
fof(f12,axiom,
! [X3,X4,X5] : compose(X3,compose(X4,X5)) = compose(compose(X3,X4),X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_compose) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CAT010-10 : TPTP v8.2.0. Released v7.3.0.
% 0.14/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat May 18 11:45:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.20/0.36 % (4083)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.38 % (4087)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.38 % (4086)WARNING: value z3 for option sas not known
% 0.20/0.38 TRYING [1]
% 0.20/0.38 % (4084)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.38 % (4085)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.38 % (4086)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.38 TRYING [2]
% 0.20/0.38 % (4088)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.38 % (4089)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.38 % (4090)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.38 TRYING [3]
% 0.20/0.38 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.39 TRYING [4]
% 0.20/0.40 TRYING [3]
% 0.20/0.43 TRYING [5]
% 0.20/0.45 TRYING [4]
% 0.20/0.54 TRYING [6]
% 1.53/0.59 % (4086)First to succeed.
% 1.53/0.59 % (4086)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4083"
% 1.53/0.59 % (4086)Refutation found. Thanks to Tanya!
% 1.53/0.59 % SZS status Unsatisfiable for theBenchmark
% 1.53/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.53/0.59 % (4086)------------------------------
% 1.53/0.59 % (4086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.53/0.59 % (4086)Termination reason: Refutation
% 1.53/0.59
% 1.53/0.59 % (4086)Memory used [KB]: 4375
% 1.53/0.59 % (4086)Time elapsed: 0.210 s
% 1.53/0.59 % (4086)Instructions burned: 552 (million)
% 1.53/0.59 % (4083)Success in time 0.215 s
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