TSTP Solution File: SWV387+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWV387+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : n010.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 18:56:41 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 10 unt; 0 def)
% Number of atoms : 63 ( 2 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 69 ( 33 ~; 15 |; 14 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-3 aty)
% Number of variables : 52 ( 38 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f367,plain,
$false,
inference(subsumption_resolution,[],[f366,f210]) ).
fof(f210,plain,
ok(sF5),
inference(definition_folding,[],[f174,f209,f208]) ).
fof(f208,plain,
sF4 = triple(sK0,sK1,sK2),
introduced(function_definition,[]) ).
fof(f209,plain,
sF5 = remove_cpq(sF4,sK3),
introduced(function_definition,[]) ).
fof(f174,plain,
ok(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ok(remove_cpq(triple(sK0,sK1,sK2),sK3))
& check_cpq(remove_cpq(triple(sK0,sK1,sK2),sK3))
& ~ check_cpq(triple(sK0,sK1,sK2)) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f126,f128,f127]) ).
fof(f127,plain,
( ? [X0,X1,X2] :
( ? [X3] :
( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
& ~ check_cpq(triple(X0,X1,X2)) )
=> ( ? [X3] :
( ok(remove_cpq(triple(sK0,sK1,sK2),X3))
& check_cpq(remove_cpq(triple(sK0,sK1,sK2),X3)) )
& ~ check_cpq(triple(sK0,sK1,sK2)) ) ),
introduced(choice_axiom,[]) ).
fof(f128,plain,
( ? [X3] :
( ok(remove_cpq(triple(sK0,sK1,sK2),X3))
& check_cpq(remove_cpq(triple(sK0,sK1,sK2),X3)) )
=> ( ok(remove_cpq(triple(sK0,sK1,sK2),sK3))
& check_cpq(remove_cpq(triple(sK0,sK1,sK2),sK3)) ) ),
introduced(choice_axiom,[]) ).
fof(f126,plain,
? [X0,X1,X2] :
( ? [X3] :
( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
& ~ check_cpq(triple(X0,X1,X2)) ),
inference(rectify,[],[f104]) ).
fof(f104,plain,
? [X1,X0,X2] :
( ? [X3] :
( ok(remove_cpq(triple(X1,X0,X2),X3))
& check_cpq(remove_cpq(triple(X1,X0,X2),X3)) )
& ~ check_cpq(triple(X1,X0,X2)) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
~ ! [X1,X2,X0] :
( ~ check_cpq(triple(X1,X0,X2))
=> ! [X3] :
( ~ check_cpq(remove_cpq(triple(X1,X0,X2),X3))
| ~ ok(remove_cpq(triple(X1,X0,X2),X3)) ) ),
inference(rectify,[],[f44]) ).
fof(f44,negated_conjecture,
~ ! [X1,X0,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ! [X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ) ),
inference(negated_conjecture,[],[f43]) ).
fof(f43,conjecture,
! [X1,X0,X2] :
( ~ check_cpq(triple(X0,X1,X2))
=> ! [X3] :
( ~ ok(remove_cpq(triple(X0,X1,X2),X3))
| ~ check_cpq(remove_cpq(triple(X0,X1,X2),X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_co) ).
fof(f366,plain,
~ ok(sF5),
inference(subsumption_resolution,[],[f365,f211]) ).
fof(f211,plain,
check_cpq(sF5),
inference(definition_folding,[],[f173,f209,f208]) ).
fof(f173,plain,
check_cpq(remove_cpq(triple(sK0,sK1,sK2),sK3)),
inference(cnf_transformation,[],[f129]) ).
fof(f365,plain,
( ~ check_cpq(sF5)
| ~ ok(sF5) ),
inference(superposition,[],[f364,f209]) ).
fof(f364,plain,
! [X0] :
( ~ ok(remove_cpq(sF4,X0))
| ~ check_cpq(remove_cpq(sF4,X0)) ),
inference(subsumption_resolution,[],[f362,f212]) ).
fof(f212,plain,
~ check_cpq(sF4),
inference(definition_folding,[],[f172,f208]) ).
fof(f172,plain,
~ check_cpq(triple(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f129]) ).
fof(f362,plain,
! [X0] :
( check_cpq(sF4)
| ~ check_cpq(remove_cpq(sF4,X0))
| ~ ok(remove_cpq(sF4,X0)) ),
inference(superposition,[],[f158,f208]) ).
fof(f158,plain,
! [X2,X3,X0,X1] :
( ~ ok(remove_cpq(triple(X1,X3,X0),X2))
| check_cpq(triple(X1,X3,X0))
| ~ check_cpq(remove_cpq(triple(X1,X3,X0),X2)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2,X3] :
( ~ ok(remove_cpq(triple(X1,X3,X0),X2))
| ~ check_cpq(remove_cpq(triple(X1,X3,X0),X2))
| check_cpq(triple(X1,X3,X0)) ),
inference(rectify,[],[f94]) ).
fof(f94,plain,
! [X2,X1,X3,X0] :
( ~ ok(remove_cpq(triple(X1,X0,X2),X3))
| ~ check_cpq(remove_cpq(triple(X1,X0,X2),X3))
| check_cpq(triple(X1,X0,X2)) ),
inference(flattening,[],[f93]) ).
fof(f93,plain,
! [X2,X3,X1,X0] :
( check_cpq(triple(X1,X0,X2))
| ~ check_cpq(remove_cpq(triple(X1,X0,X2),X3))
| ~ ok(remove_cpq(triple(X1,X0,X2),X3)) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X2,X3,X1,X0] :
( ( check_cpq(remove_cpq(triple(X1,X0,X2),X3))
& ok(remove_cpq(triple(X1,X0,X2),X3)) )
=> check_cpq(triple(X1,X0,X2)) ),
inference(rectify,[],[f42]) ).
fof(f42,axiom,
! [X1,X0,X2,X3] :
( ( ok(remove_cpq(triple(X0,X1,X2),X3))
& check_cpq(remove_cpq(triple(X0,X1,X2),X3)) )
=> check_cpq(triple(X0,X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_l027) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV387+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % 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 : n010.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 : Tue Aug 30 19:14:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50 % (16908)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (16901)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)
% 0.20/0.50 % (16916)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)
% 0.20/0.50 % (16908)Instruction limit reached!
% 0.20/0.50 % (16908)------------------------------
% 0.20/0.50 % (16908)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (16908)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (16908)Termination reason: Unknown
% 0.20/0.50 % (16908)Termination phase: Preprocessing 3
% 0.20/0.50
% 0.20/0.50 % (16908)Memory used [KB]: 895
% 0.20/0.50 % (16908)Time elapsed: 0.003 s
% 0.20/0.50 % (16908)Instructions burned: 2 (million)
% 0.20/0.50 % (16908)------------------------------
% 0.20/0.50 % (16908)------------------------------
% 0.20/0.51 % (16924)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.51 % (16907)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51 % (16907)Instruction limit reached!
% 0.20/0.51 % (16907)------------------------------
% 0.20/0.51 % (16907)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (16907)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (16907)Termination reason: Unknown
% 0.20/0.51 % (16907)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (16907)Memory used [KB]: 5628
% 0.20/0.51 % (16907)Time elapsed: 0.102 s
% 0.20/0.51 % (16907)Instructions burned: 7 (million)
% 0.20/0.51 % (16907)------------------------------
% 0.20/0.51 % (16907)------------------------------
% 0.20/0.51 % (16922)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)
% 0.20/0.51 % (16915)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)
% 0.20/0.52 % (16900)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)
% 0.20/0.52 % (16924)First to succeed.
% 0.20/0.52 % (16901)Also succeeded, but the first one will report.
% 0.20/0.52 % (16924)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Theorem for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (16924)------------------------------
% 0.20/0.52 % (16924)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16924)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16924)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (16924)Memory used [KB]: 5628
% 0.20/0.52 % (16924)Time elapsed: 0.124 s
% 0.20/0.52 % (16924)Instructions burned: 11 (million)
% 0.20/0.52 % (16924)------------------------------
% 0.20/0.52 % (16924)------------------------------
% 0.20/0.52 % (16899)Success in time 0.173 s
%------------------------------------------------------------------------------