TSTP Solution File: CAT010-10 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---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_sat --cores 0 -t %d %s
% Computer : n017.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 15:51:16 EDT 2022
% Result : Unsatisfiable 1.62s 0.56s
% Output : Refutation 1.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% 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 : 3 ( 3 ~; 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(f480,plain,
$false,
inference(trivial_inequality_removal,[],[f462]) ).
fof(f462,plain,
sF1 != sF1,
inference(superposition,[],[f20,f449]) ).
fof(f449,plain,
sF2 = sF1,
inference(forward_demodulation,[],[f440,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : ifeq2(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_001) ).
fof(f440,plain,
sF2 = ifeq2(true,true,sF1,sF2),
inference(superposition,[],[f315,f435]) ).
fof(f435,plain,
domain(sF2) = sF1,
inference(superposition,[],[f323,f2]) ).
fof(f323,plain,
ifeq2(true,true,domain(sF2),sF1) = sF1,
inference(forward_demodulation,[],[f322,f21]) ).
fof(f21,plain,
true = there_exists(sF0),
inference(superposition,[],[f15,f17]) ).
fof(f17,plain,
compose(a,b) = sF0,
introduced(function_definition,[]) ).
fof(f15,axiom,
true = there_exists(compose(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_exists) ).
fof(f322,plain,
ifeq2(there_exists(sF0),true,domain(sF2),sF1) = sF1,
inference(forward_demodulation,[],[f290,f18]) ).
fof(f18,plain,
codomain(sF0) = sF1,
introduced(function_definition,[]) ).
fof(f290,plain,
codomain(sF0) = ifeq2(there_exists(sF0),true,domain(sF2),codomain(sF0)),
inference(superposition,[],[f10,f70]) ).
fof(f70,plain,
compose(sF2,sF0) = sF0,
inference(superposition,[],[f55,f17]) ).
fof(f55,plain,
! [X10] : compose(a,X10) = compose(sF2,compose(a,X10)),
inference(superposition,[],[f12,f23]) ).
fof(f23,plain,
a = compose(sF2,a),
inference(superposition,[],[f14,f19]) ).
fof(f19,plain,
codomain(a) = sF2,
introduced(function_definition,[]) ).
fof(f14,axiom,
! [X3] : compose(codomain(X3),X3) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_codomain) ).
fof(f12,axiom,
! [X3,X4,X5] : compose(X3,compose(X4,X5)) = compose(compose(X3,X4),X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_compose) ).
fof(f10,axiom,
! [X3,X4] : codomain(X4) = ifeq2(there_exists(compose(X3,X4)),true,domain(X3),codomain(X4)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_codomain_composition1) ).
fof(f315,plain,
sF2 = ifeq2(true,true,domain(sF2),sF2),
inference(forward_demodulation,[],[f314,f246]) ).
fof(f246,plain,
true = there_exists(a),
inference(superposition,[],[f241,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom_002) ).
fof(f241,plain,
true = ifeq(true,true,there_exists(a),true),
inference(superposition,[],[f7,f237]) ).
fof(f237,plain,
true = there_exists(domain(a)),
inference(superposition,[],[f226,f3]) ).
fof(f226,plain,
true = ifeq(true,true,there_exists(domain(a)),true),
inference(superposition,[],[f9,f15]) ).
fof(f9,axiom,
! [X3,X4] : true = ifeq(there_exists(compose(X3,X4)),true,there_exists(domain(X3)),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composition_implies_domain) ).
fof(f7,axiom,
! [X3] : true = ifeq(there_exists(domain(X3)),true,there_exists(X3),true),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain_has_elements) ).
fof(f314,plain,
ifeq2(there_exists(a),true,domain(sF2),sF2) = sF2,
inference(forward_demodulation,[],[f287,f19]) ).
fof(f287,plain,
codomain(a) = ifeq2(there_exists(a),true,domain(sF2),codomain(a)),
inference(superposition,[],[f10,f23]) ).
fof(f20,plain,
sF2 != sF1,
inference(definition_folding,[],[f16,f19,f18,f17]) ).
fof(f16,axiom,
codomain(compose(a,b)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_ab_equals_codomain_of_a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT010-10 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 15:42:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 % (24621)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (24642)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 % (24634)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.51 % (24622)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.51 % (24626)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 % (24628)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.51 TRYING [2]
% 0.19/0.52 % (24631)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 TRYING [3]
% 0.19/0.52 % (24628)Instruction limit reached!
% 0.19/0.52 % (24628)------------------------------
% 0.19/0.52 % (24628)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (24644)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.52 % (24638)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.53 % (24637)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (24620)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (24636)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.53 % (24629)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (24628)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (24628)Termination reason: Unknown
% 0.19/0.53 % (24628)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (24628)Memory used [KB]: 5373
% 0.19/0.53 % (24628)Time elapsed: 0.123 s
% 0.19/0.53 % (24628)Instructions burned: 3 (million)
% 0.19/0.53 % (24628)------------------------------
% 0.19/0.53 % (24628)------------------------------
% 0.19/0.53 % (24623)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (24640)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.50/0.54 % (24646)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.50/0.54 % (24624)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.54 TRYING [2]
% 1.50/0.54 % (24645)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.50/0.54 % (24627)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.50/0.55 TRYING [1]
% 1.50/0.55 TRYING [2]
% 1.50/0.55 % (24625)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.50/0.55 TRYING [3]
% 1.50/0.55 % (24639)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.55 % (24622)Instruction limit reached!
% 1.50/0.55 % (24622)------------------------------
% 1.50/0.55 % (24622)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 TRYING [3]
% 1.50/0.55 % (24630)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.50/0.55 % (24622)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (24622)Termination reason: Unknown
% 1.50/0.55 % (24622)Termination phase: Saturation
% 1.50/0.55
% 1.50/0.55 % (24622)Memory used [KB]: 1663
% 1.50/0.55 % (24622)Time elapsed: 0.128 s
% 1.50/0.55 % (24622)Instructions burned: 37 (million)
% 1.50/0.55 % (24622)------------------------------
% 1.50/0.55 % (24622)------------------------------
% 1.50/0.55 % (24648)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.50/0.55 % (24647)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.50/0.55 % (24635)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.50/0.56 % (24643)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.62/0.56 % (24632)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.62/0.56 % (24641)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.62/0.56 % (24623)First to succeed.
% 1.62/0.56 % (24623)Refutation found. Thanks to Tanya!
% 1.62/0.56 % SZS status Unsatisfiable for theBenchmark
% 1.62/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.56 % (24623)------------------------------
% 1.62/0.56 % (24623)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.62/0.56 % (24623)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.62/0.56 % (24623)Termination reason: Refutation
% 1.62/0.56
% 1.62/0.56 % (24623)Memory used [KB]: 5756
% 1.62/0.56 % (24623)Time elapsed: 0.156 s
% 1.62/0.56 % (24623)Instructions burned: 20 (million)
% 1.62/0.56 % (24623)------------------------------
% 1.62/0.56 % (24623)------------------------------
% 1.62/0.56 % (24619)Success in time 0.207 s
%------------------------------------------------------------------------------