TSTP Solution File: CAT008-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : CAT008-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : n006.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 2.33s 0.66s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 15
% Syntax : Number of formulae : 36 ( 19 unt; 0 def)
% Number of atoms : 64 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1073,plain,
$false,
inference(subsumption_resolution,[],[f1051,f23]) ).
fof(f23,plain,
sF0 != sF1,
inference(definition_folding,[],[f20,f22,f21]) ).
fof(f21,plain,
domain(a) = sF0,
introduced(function_definition,[]) ).
fof(f22,plain,
codomain(b) = sF1,
introduced(function_definition,[]) ).
fof(f20,axiom,
domain(a) != codomain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_domain_of_a_equals_codomain_of_b) ).
fof(f1051,plain,
sF0 = sF1,
inference(resolution,[],[f1049,f250]) ).
fof(f250,plain,
! [X8,X9] :
( ~ product(X8,sF1,X9)
| X8 = X9 ),
inference(resolution,[],[f94,f27]) ).
fof(f27,plain,
identity_map(sF1),
inference(superposition,[],[f11,f22]) ).
fof(f11,axiom,
! [X0] : identity_map(codomain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',codomain_is_an_identity_map) ).
fof(f94,plain,
! [X10,X8,X9] :
( ~ identity_map(X9)
| X8 = X10
| ~ product(X8,X9,X10) ),
inference(subsumption_resolution,[],[f88,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] :
( ~ product(X0,X1,X2)
| defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_property1) ).
fof(f88,plain,
! [X10,X8,X9] :
( ~ product(X8,X9,X10)
| ~ identity_map(X9)
| X8 = X10
| ~ defined(X8,X9) ),
inference(resolution,[],[f18,f17]) ).
fof(f17,axiom,
! [X0,X1] :
( product(X0,X1,X0)
| ~ defined(X0,X1)
| ~ identity_map(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity2) ).
fof(f18,axiom,
! [X2,X0,X1,X6] :
( ~ product(X0,X1,X6)
| ~ product(X0,X1,X2)
| X2 = X6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_is_well_defined) ).
fof(f1049,plain,
product(sF0,sF1,sF1),
inference(subsumption_resolution,[],[f1046,f497]) ).
fof(f497,plain,
defined(sF0,sF1),
inference(forward_demodulation,[],[f495,f22]) ).
fof(f495,plain,
defined(sF0,codomain(b)),
inference(resolution,[],[f60,f15]) ).
fof(f15,axiom,
! [X0] : product(codomain(X0),X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_on_codomain) ).
fof(f60,plain,
! [X10,X11] :
( ~ product(X10,X11,b)
| defined(sF0,X10) ),
inference(resolution,[],[f6,f47]) ).
fof(f47,plain,
defined(sF0,b),
inference(forward_demodulation,[],[f42,f21]) ).
fof(f42,plain,
defined(domain(a),b),
inference(resolution,[],[f39,f14]) ).
fof(f14,axiom,
! [X0] : product(X0,domain(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_on_domain) ).
fof(f39,plain,
! [X6,X7] :
( ~ product(X7,X6,a)
| defined(X6,b) ),
inference(resolution,[],[f3,f19]) ).
fof(f19,axiom,
defined(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_defined) ).
fof(f3,axiom,
! [X2,X3,X0,X1] :
( ~ defined(X3,X2)
| defined(X1,X2)
| ~ product(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associative_property2) ).
fof(f6,axiom,
! [X2,X0,X1,X4] :
( ~ defined(X0,X4)
| ~ product(X1,X2,X4)
| defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',category_theory_axiom3) ).
fof(f1046,plain,
( ~ defined(sF0,sF1)
| product(sF0,sF1,sF1) ),
inference(superposition,[],[f1,f996]) ).
fof(f996,plain,
compose(sF0,sF1) = sF1,
inference(resolution,[],[f443,f497]) ).
fof(f443,plain,
! [X0] :
( ~ defined(sF0,X0)
| compose(sF0,X0) = X0 ),
inference(resolution,[],[f198,f1]) ).
fof(f198,plain,
! [X6,X7] :
( ~ product(sF0,X6,X7)
| X6 = X7 ),
inference(resolution,[],[f92,f25]) ).
fof(f25,plain,
identity_map(sF0),
inference(superposition,[],[f10,f21]) ).
fof(f10,axiom,
! [X0] : identity_map(domain(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_is_an_identity_map) ).
fof(f92,plain,
! [X6,X7,X5] :
( ~ identity_map(X5)
| ~ product(X5,X6,X7)
| X6 = X7 ),
inference(subsumption_resolution,[],[f87,f2]) ).
fof(f87,plain,
! [X6,X7,X5] :
( ~ identity_map(X5)
| X6 = X7
| ~ defined(X5,X6)
| ~ product(X5,X6,X7) ),
inference(resolution,[],[f18,f16]) ).
fof(f16,axiom,
! [X0,X1] :
( product(X0,X1,X1)
| ~ identity_map(X0)
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity1) ).
fof(f1,axiom,
! [X0,X1] :
( product(X0,X1,compose(X0,X1))
| ~ defined(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_composition) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT008-1 : TPTP v8.1.0. Released v1.0.0.
% 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
% 0.13/0.34 % Computer : n006.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 16:16:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.55 % (17413)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)
% 0.19/0.56 % (17405)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)
% 0.19/0.56 % (17405)Refutation not found, incomplete strategy% (17405)------------------------------
% 0.19/0.56 % (17405)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56 % (17405)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56 % (17405)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.56
% 0.19/0.56 % (17405)Memory used [KB]: 5373
% 0.19/0.56 % (17405)Time elapsed: 0.124 s
% 0.19/0.56 % (17405)Instructions burned: 2 (million)
% 0.19/0.56 % (17405)------------------------------
% 0.19/0.56 % (17405)------------------------------
% 0.19/0.56 % (17419)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)
% 0.19/0.56 % (17429)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.57 % (17427)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)
% 1.60/0.58 % (17408)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.60/0.58 % (17411)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.60/0.59 % (17411)Instruction limit reached!
% 1.60/0.59 % (17411)------------------------------
% 1.60/0.59 % (17411)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.59 % (17411)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.59 % (17411)Termination reason: Unknown
% 1.60/0.59 % (17411)Termination phase: Saturation
% 1.60/0.59
% 1.60/0.59 % (17411)Memory used [KB]: 5500
% 1.60/0.59 % (17411)Time elapsed: 0.100 s
% 1.60/0.59 % (17411)Instructions burned: 7 (million)
% 1.60/0.59 % (17411)------------------------------
% 1.60/0.59 % (17411)------------------------------
% 1.60/0.59 % (17410)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)
% 1.60/0.59 TRYING [1]
% 1.60/0.59 TRYING [2]
% 1.60/0.59 % (17409)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)
% 1.60/0.59 % (17415)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)
% 1.60/0.59 TRYING [3]
% 1.91/0.60 % (17414)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.91/0.60 % (17404)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)
% 1.91/0.61 TRYING [1]
% 1.91/0.61 TRYING [2]
% 1.91/0.61 TRYING [3]
% 1.91/0.61 TRYING [4]
% 1.91/0.61 % (17407)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)
% 1.91/0.61 % (17413)Instruction limit reached!
% 1.91/0.61 % (17413)------------------------------
% 1.91/0.61 % (17413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.91/0.61 % (17413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.91/0.61 % (17406)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)
% 1.91/0.61 % (17413)Termination reason: Unknown
% 1.91/0.61 % (17413)Termination phase: Saturation
% 1.91/0.61
% 1.91/0.61 % (17413)Memory used [KB]: 1279
% 1.91/0.61 % (17413)Time elapsed: 0.184 s
% 1.91/0.61 % (17413)Instructions burned: 51 (million)
% 1.91/0.61 % (17413)------------------------------
% 1.91/0.61 % (17413)------------------------------
% 1.91/0.62 % (17426)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)
% 1.91/0.62 % (17433)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.91/0.62 % (17430)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)
% 1.91/0.62 % (17431)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)
% 1.91/0.62 % (17425)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.91/0.62 % (17432)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.91/0.62 % (17418)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)
% 1.91/0.63 % (17420)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)
% 1.91/0.63 % (17424)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)
% 1.91/0.63 % (17417)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.91/0.63 TRYING [4]
% 1.91/0.64 % (17428)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.91/0.64 % (17422)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.91/0.64 % (17423)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)
% 1.91/0.64 % (17416)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 2.33/0.65 % (17412)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 2.33/0.65 % (17412)Instruction limit reached!
% 2.33/0.65 % (17412)------------------------------
% 2.33/0.65 % (17412)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.65 % (17412)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.65 % (17412)Termination reason: Unknown
% 2.33/0.65 % (17412)Termination phase: Saturation
% 2.33/0.65
% 2.33/0.65 % (17412)Memory used [KB]: 895
% 2.33/0.65 % (17412)Time elapsed: 0.004 s
% 2.33/0.65 % (17412)Instructions burned: 2 (million)
% 2.33/0.65 % (17412)------------------------------
% 2.33/0.65 % (17412)------------------------------
% 2.33/0.66 % (17421)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 2.33/0.66 TRYING [1]
% 2.33/0.66 TRYING [2]
% 2.33/0.66 TRYING [3]
% 2.33/0.66 % (17419)First to succeed.
% 2.33/0.66 TRYING [4]
% 2.33/0.66 % (17424)Also succeeded, but the first one will report.
% 2.33/0.66 % (17419)Refutation found. Thanks to Tanya!
% 2.33/0.66 % SZS status Unsatisfiable for theBenchmark
% 2.33/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.33/0.66 % (17419)------------------------------
% 2.33/0.66 % (17419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.33/0.66 % (17419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.33/0.66 % (17419)Termination reason: Refutation
% 2.33/0.66
% 2.33/0.66 % (17419)Memory used [KB]: 1279
% 2.33/0.66 % (17419)Time elapsed: 0.154 s
% 2.33/0.66 % (17419)Instructions burned: 48 (million)
% 2.33/0.66 % (17419)------------------------------
% 2.33/0.66 % (17419)------------------------------
% 2.33/0.66 % (17403)Success in time 0.31 s
%------------------------------------------------------------------------------