TSTP Solution File: CAT010-10 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : CAT010-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n023.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 : Wed Aug 31 15:50:42 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 16 ( 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,plain,
$false,
inference(subsumption_resolution,[],[f158,f20]) ).
fof(f20,plain,
sF1 != sF2,
inference(definition_folding,[],[f16,f19,f18,f17]) ).
fof(f17,plain,
compose(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f18,plain,
codomain(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f19,plain,
codomain(a) = sF2,
introduced(function_definition,[]) ).
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(f158,plain,
sF1 = sF2,
inference(forward_demodulation,[],[f136,f139]) ).
fof(f139,plain,
domain(sF2) = sF2,
inference(forward_demodulation,[],[f138,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f138,plain,
ifeq2(true,true,domain(sF2),sF2) = sF2,
inference(forward_demodulation,[],[f137,f95]) ).
fof(f95,plain,
true = there_exists(a),
inference(forward_demodulation,[],[f90,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_002) ).
fof(f90,plain,
true = ifeq(true,true,there_exists(a),true),
inference(superposition,[],[f7,f82]) ).
fof(f82,plain,
true = there_exists(domain(a)),
inference(forward_demodulation,[],[f81,f3]) ).
fof(f81,plain,
true = ifeq(true,true,there_exists(domain(a)),true),
inference(forward_demodulation,[],[f72,f21]) ).
fof(f21,plain,
true = there_exists(sF0),
inference(forward_demodulation,[],[f15,f17]) ).
fof(f15,axiom,
true = there_exists(compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_exists) ).
fof(f72,plain,
true = ifeq(there_exists(sF0),true,there_exists(domain(a)),true),
inference(superposition,[],[f9,f17]) ).
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(f137,plain,
ifeq2(there_exists(a),true,domain(sF2),sF2) = sF2,
inference(forward_demodulation,[],[f128,f19]) ).
fof(f128,plain,
codomain(a) = ifeq2(there_exists(a),true,domain(sF2),codomain(a)),
inference(superposition,[],[f10,f23]) ).
fof(f23,plain,
a = compose(sF2,a),
inference(superposition,[],[f14,f19]) ).
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(f136,plain,
domain(sF2) = sF1,
inference(forward_demodulation,[],[f135,f2]) ).
fof(f135,plain,
sF1 = ifeq2(true,true,domain(sF2),sF1),
inference(forward_demodulation,[],[f134,f21]) ).
fof(f134,plain,
ifeq2(there_exists(sF0),true,domain(sF2),sF1) = sF1,
inference(forward_demodulation,[],[f131,f18]) ).
fof(f131,plain,
codomain(sF0) = ifeq2(there_exists(sF0),true,domain(sF2),codomain(sF0)),
inference(superposition,[],[f10,f59]) ).
fof(f59,plain,
compose(sF2,sF0) = sF0,
inference(superposition,[],[f44,f17]) ).
fof(f44,plain,
! [X10] : compose(a,X10) = compose(sF2,compose(a,X10)),
inference(superposition,[],[f12,f23]) ).
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
% 0.11/0.12 % Problem : CAT010-10 : TPTP v8.1.0. Released v7.3.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 16:38:35 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (17070)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99788:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/99788Mi)
% 0.19/0.50 % (17094)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/111Mi)
% 0.19/0.50 % (17086)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/212Mi)
% 0.19/0.51 % (17070)First to succeed.
% 0.19/0.51 % (17097)dis+10_1:1024_av=off:bd=preordered:drc=off:nwc=3.0:rp=on:thsq=on:thsqc=64:thsqd=32:to=lpo:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/267Mi)
% 0.19/0.51 % (17082)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.51 % (17099)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=381:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/381Mi)
% 0.19/0.51 % (17071)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=10:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/10Mi)
% 0.19/0.51 % (17089)lrs+1011_1:1_asg=cautious:bsr=on:cond=on:drc=off:etr=on:fd=preordered:gs=on:plsq=on:plsqr=388,511:slsq=on:slsqc=1:slsqr=21,31:urr=on:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/439Mi)
% 0.19/0.51 % (17076)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/7Mi)
% 0.19/0.51 % (17081)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.52 % (17074)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/48Mi)
% 0.19/0.52 % (17072)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.19/0.52 % (17076)Instruction limit reached!
% 0.19/0.52 % (17076)------------------------------
% 0.19/0.52 % (17076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (17076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (17076)Termination reason: Unknown
% 0.19/0.52 % (17076)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (17076)Memory used [KB]: 5628
% 0.19/0.52 % (17076)Time elapsed: 0.126 s
% 0.19/0.52 % (17076)Instructions burned: 7 (million)
% 0.19/0.52 % (17076)------------------------------
% 0.19/0.52 % (17076)------------------------------
% 0.19/0.52 % (17073)lrs+10_1:1_amm=off:drc=off:sp=reverse_frequency:spb=goal_then_units:to=lpo:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/6Mi)
% 0.19/0.52 % (17070)Refutation found. Thanks to Tanya!
% 0.19/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52 % (17070)------------------------------
% 0.19/0.52 % (17070)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (17070)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (17070)Termination reason: Refutation
% 0.19/0.52
% 0.19/0.52 % (17070)Memory used [KB]: 5628
% 0.19/0.52 % (17070)Time elapsed: 0.118 s
% 0.19/0.52 % (17070)Instructions burned: 8 (million)
% 0.19/0.52 % (17070)------------------------------
% 0.19/0.52 % (17070)------------------------------
% 0.19/0.52 % (17068)Success in time 0.178 s
%------------------------------------------------------------------------------