TSTP Solution File: COM021+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : COM021+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : n026.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 15:53:48 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 17 unt; 0 def)
% Number of atoms : 284 ( 17 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 362 ( 138 ~; 141 |; 65 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-3 aty)
% Number of variables : 121 ( 108 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f543,plain,
$false,
inference(subsumption_resolution,[],[f530,f158]) ).
fof(f158,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(flattening,[],[f26]) ).
fof(f26,negated_conjecture,
~ sdtmndtasgtdt0(xb,xR,xd),
inference(negated_conjecture,[],[f25]) ).
fof(f25,conjecture,
sdtmndtasgtdt0(xb,xR,xd),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f530,plain,
sdtmndtasgtdt0(xb,xR,xd),
inference(backward_demodulation,[],[f144,f527]) ).
fof(f527,plain,
xd = xx,
inference(subsumption_resolution,[],[f522,f143]) ).
fof(f143,plain,
aElement0(xx),
inference(cnf_transformation,[],[f24]) ).
fof(f24,axiom,
( sdtmndtasgtdt0(xb,xR,xx)
& aElement0(xx)
& sdtmndtasgtdt0(xd,xR,xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__850) ).
fof(f522,plain,
( xd = xx
| ~ aElement0(xx) ),
inference(resolution,[],[f335,f499]) ).
fof(f499,plain,
! [X6] :
( ~ sdtmndtplgtdt0(xd,xR,X6)
| ~ aElement0(X6) ),
inference(subsumption_resolution,[],[f498,f178]) ).
fof(f178,plain,
aElement0(xd),
inference(subsumption_resolution,[],[f177,f102]) ).
fof(f102,plain,
aElement0(xw),
inference(cnf_transformation,[],[f22]) ).
fof(f22,axiom,
( sdtmndtasgtdt0(xv,xR,xw)
& sdtmndtasgtdt0(xu,xR,xw)
& aElement0(xw) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__799) ).
fof(f177,plain,
( aElement0(xd)
| ~ aElement0(xw) ),
inference(resolution,[],[f176,f170]) ).
fof(f170,plain,
aNormalFormOfIn0(xd,xw,xR),
inference(cnf_transformation,[],[f23]) ).
fof(f23,axiom,
aNormalFormOfIn0(xd,xw,xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__818) ).
fof(f176,plain,
! [X0,X1] :
( ~ aNormalFormOfIn0(X0,X1,xR)
| aElement0(X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f124,f157]) ).
fof(f157,plain,
aRewritingSystem0(xR),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
aRewritingSystem0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__656) ).
fof(f124,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aNormalFormOfIn0(X2,X1,X0)
| aElement0(X2)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ! [X2] :
( ( aNormalFormOfIn0(X2,X1,X0)
| ~ aElement0(X2)
| aReductOfIn0(sK10(X0,X2),X2,X0)
| ~ sdtmndtasgtdt0(X1,X0,X2) )
& ( ( aElement0(X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,X0)
& sdtmndtasgtdt0(X1,X0,X2) )
| ~ aNormalFormOfIn0(X2,X1,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f78,f79]) ).
fof(f79,plain,
! [X0,X2] :
( ? [X3] : aReductOfIn0(X3,X2,X0)
=> aReductOfIn0(sK10(X0,X2),X2,X0) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1] :
( ~ aRewritingSystem0(X0)
| ~ aElement0(X1)
| ! [X2] :
( ( aNormalFormOfIn0(X2,X1,X0)
| ~ aElement0(X2)
| ? [X3] : aReductOfIn0(X3,X2,X0)
| ~ sdtmndtasgtdt0(X1,X0,X2) )
& ( ( aElement0(X2)
& ! [X4] : ~ aReductOfIn0(X4,X2,X0)
& sdtmndtasgtdt0(X1,X0,X2) )
| ~ aNormalFormOfIn0(X2,X1,X0) ) ) ),
inference(rectify,[],[f77]) ).
fof(f77,plain,
! [X1,X0] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2) )
& ( ( aElement0(X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) ) ),
inference(flattening,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ! [X2] :
( ( aNormalFormOfIn0(X2,X0,X1)
| ~ aElement0(X2)
| ? [X3] : aReductOfIn0(X3,X2,X1)
| ~ sdtmndtasgtdt0(X0,X1,X2) )
& ( ( aElement0(X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2) )
| ~ aNormalFormOfIn0(X2,X0,X1) ) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f55,plain,
! [X1,X0] :
( ~ aRewritingSystem0(X1)
| ~ aElement0(X0)
| ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2) ) ) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
! [X1,X0] :
( ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& ! [X3] : ~ aReductOfIn0(X3,X2,X1)
& sdtmndtasgtdt0(X0,X1,X2) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( ( aRewritingSystem0(X1)
& aElement0(X0) )
=> ! [X2] :
( aNormalFormOfIn0(X2,X0,X1)
<=> ( aElement0(X2)
& sdtmndtasgtdt0(X0,X1,X2)
& ~ ? [X3] : aReductOfIn0(X3,X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNFRDef) ).
fof(f498,plain,
! [X6] :
( ~ aElement0(X6)
| ~ sdtmndtplgtdt0(xd,xR,X6)
| ~ aElement0(xd) ),
inference(subsumption_resolution,[],[f491,f213]) ).
fof(f213,plain,
! [X0] : ~ aReductOfIn0(X0,xd,xR),
inference(subsumption_resolution,[],[f210,f102]) ).
fof(f210,plain,
! [X0] :
( ~ aElement0(xw)
| ~ aReductOfIn0(X0,xd,xR) ),
inference(resolution,[],[f189,f170]) ).
fof(f189,plain,
! [X2,X0,X1] :
( ~ aNormalFormOfIn0(X1,X2,xR)
| ~ aElement0(X2)
| ~ aReductOfIn0(X0,X1,xR) ),
inference(resolution,[],[f123,f157]) ).
fof(f123,plain,
! [X2,X0,X1,X4] :
( ~ aRewritingSystem0(X0)
| ~ aReductOfIn0(X4,X2,X0)
| ~ aNormalFormOfIn0(X2,X1,X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f491,plain,
! [X6] :
( aReductOfIn0(X6,xd,xR)
| ~ sdtmndtplgtdt0(xd,xR,X6)
| ~ aElement0(X6)
| ~ aElement0(xd) ),
inference(resolution,[],[f247,f213]) ).
fof(f247,plain,
! [X0,X1] :
( aReductOfIn0(sK17(xR,X0,X1),X1,xR)
| aReductOfIn0(X0,X1,xR)
| ~ aElement0(X0)
| ~ sdtmndtplgtdt0(X1,xR,X0)
| ~ aElement0(X1) ),
inference(resolution,[],[f161,f157]) ).
fof(f161,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X0)
| aReductOfIn0(X1,X2,X0)
| ~ sdtmndtplgtdt0(X2,X0,X1)
| aReductOfIn0(sK17(X0,X1,X2),X2,X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ( ( ( aElement0(sK17(X0,X1,X2))
& sdtmndtplgtdt0(sK17(X0,X1,X2),X0,X1)
& aReductOfIn0(sK17(X0,X1,X2),X2,X0) )
| aReductOfIn0(X1,X2,X0)
| ~ sdtmndtplgtdt0(X2,X0,X1) )
& ( sdtmndtplgtdt0(X2,X0,X1)
| ( ! [X4] :
( ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X4,X0,X1)
| ~ aReductOfIn0(X4,X2,X0) )
& ~ aReductOfIn0(X1,X2,X0) ) ) )
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK17])],[f97,f98]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,X0,X1)
& aReductOfIn0(X3,X2,X0) )
=> ( aElement0(sK17(X0,X1,X2))
& sdtmndtplgtdt0(sK17(X0,X1,X2),X0,X1)
& aReductOfIn0(sK17(X0,X1,X2),X2,X0) ) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ( ( ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,X0,X1)
& aReductOfIn0(X3,X2,X0) )
| aReductOfIn0(X1,X2,X0)
| ~ sdtmndtplgtdt0(X2,X0,X1) )
& ( sdtmndtplgtdt0(X2,X0,X1)
| ( ! [X4] :
( ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X4,X0,X1)
| ~ aReductOfIn0(X4,X2,X0) )
& ~ aReductOfIn0(X1,X2,X0) ) ) )
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1) ),
inference(rectify,[],[f96]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ( ( ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,X0,X1)
& aReductOfIn0(X3,X2,X0) )
| aReductOfIn0(X1,X2,X0)
| ~ sdtmndtplgtdt0(X2,X0,X1) )
& ( sdtmndtplgtdt0(X2,X0,X1)
| ( ! [X3] :
( ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X0,X1)
| ~ aReductOfIn0(X3,X2,X0) )
& ~ aReductOfIn0(X1,X2,X0) ) ) )
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f95]) ).
fof(f95,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ( ( ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,X0,X1)
& aReductOfIn0(X3,X2,X0) )
| aReductOfIn0(X1,X2,X0)
| ~ sdtmndtplgtdt0(X2,X0,X1) )
& ( sdtmndtplgtdt0(X2,X0,X1)
| ( ! [X3] :
( ~ aElement0(X3)
| ~ sdtmndtplgtdt0(X3,X0,X1)
| ~ aReductOfIn0(X3,X2,X0) )
& ~ aReductOfIn0(X1,X2,X0) ) ) )
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ aElement0(X2)
| ( ( ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,X0,X1)
& aReductOfIn0(X3,X2,X0) )
| aReductOfIn0(X1,X2,X0) )
<=> sdtmndtplgtdt0(X2,X0,X1) )
| ~ aRewritingSystem0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ( ( ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,X0,X1)
& aReductOfIn0(X3,X2,X0) )
| aReductOfIn0(X1,X2,X0) )
<=> sdtmndtplgtdt0(X2,X0,X1) )
| ~ aRewritingSystem0(X0)
| ~ aElement0(X2)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ( aRewritingSystem0(X0)
& aElement0(X2)
& aElement0(X1) )
=> ( ( ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,X0,X1)
& aReductOfIn0(X3,X2,X0) )
| aReductOfIn0(X1,X2,X0) )
<=> sdtmndtplgtdt0(X2,X0,X1) ) ),
inference(rectify,[],[f6]) ).
fof(f6,axiom,
! [X1,X2,X0] :
( ( aElement0(X2)
& aElement0(X0)
& aRewritingSystem0(X1) )
=> ( ( ? [X3] :
( aElement0(X3)
& sdtmndtplgtdt0(X3,X1,X2)
& aReductOfIn0(X3,X0,X1) )
| aReductOfIn0(X2,X0,X1) )
<=> sdtmndtplgtdt0(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCDef) ).
fof(f335,plain,
( sdtmndtplgtdt0(xd,xR,xx)
| xd = xx ),
inference(subsumption_resolution,[],[f334,f178]) ).
fof(f334,plain,
( ~ aElement0(xd)
| xd = xx
| sdtmndtplgtdt0(xd,xR,xx) ),
inference(subsumption_resolution,[],[f299,f143]) ).
fof(f299,plain,
( ~ aElement0(xx)
| ~ aElement0(xd)
| xd = xx
| sdtmndtplgtdt0(xd,xR,xx) ),
inference(resolution,[],[f203,f142]) ).
fof(f142,plain,
sdtmndtasgtdt0(xd,xR,xx),
inference(cnf_transformation,[],[f24]) ).
fof(f203,plain,
! [X0,X1] :
( ~ sdtmndtasgtdt0(X0,xR,X1)
| ~ aElement0(X0)
| X0 = X1
| ~ aElement0(X1)
| sdtmndtplgtdt0(X0,xR,X1) ),
inference(resolution,[],[f126,f157]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ aRewritingSystem0(X2)
| ~ sdtmndtasgtdt0(X0,X2,X1)
| X0 = X1
| ~ aElement0(X0)
| ~ aElement0(X1)
| sdtmndtplgtdt0(X0,X2,X1) ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( ( sdtmndtasgtdt0(X0,X2,X1)
| ( X0 != X1
& ~ sdtmndtplgtdt0(X0,X2,X1) ) )
& ( X0 = X1
| sdtmndtplgtdt0(X0,X2,X1)
| ~ sdtmndtasgtdt0(X0,X2,X1) ) )
| ~ aRewritingSystem0(X2)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(rectify,[],[f82]) ).
fof(f82,plain,
! [X2,X0,X1] :
( ( ( sdtmndtasgtdt0(X2,X1,X0)
| ( X0 != X2
& ~ sdtmndtplgtdt0(X2,X1,X0) ) )
& ( X0 = X2
| sdtmndtplgtdt0(X2,X1,X0)
| ~ sdtmndtasgtdt0(X2,X1,X0) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0) ),
inference(flattening,[],[f81]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ( ( sdtmndtasgtdt0(X2,X1,X0)
| ( X0 != X2
& ~ sdtmndtplgtdt0(X2,X1,X0) ) )
& ( X0 = X2
| sdtmndtplgtdt0(X2,X1,X0)
| ~ sdtmndtasgtdt0(X2,X1,X0) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0) ),
inference(nnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ( sdtmndtasgtdt0(X2,X1,X0)
<=> ( X0 = X2
| sdtmndtplgtdt0(X2,X1,X0) ) )
| ~ aRewritingSystem0(X1)
| ~ aElement0(X2)
| ~ aElement0(X0) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X1,X2,X0] :
( ( sdtmndtasgtdt0(X2,X1,X0)
<=> ( X0 = X2
| sdtmndtplgtdt0(X2,X1,X0) ) )
| ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aRewritingSystem0(X1) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,plain,
! [X1,X2,X0] :
( ( aElement0(X2)
& aElement0(X0)
& aRewritingSystem0(X1) )
=> ( sdtmndtasgtdt0(X2,X1,X0)
<=> ( X0 = X2
| sdtmndtplgtdt0(X2,X1,X0) ) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X2,X1,X0] :
( ( aElement0(X2)
& aElement0(X0)
& aRewritingSystem0(X1) )
=> ( ( X0 = X2
| sdtmndtplgtdt0(X0,X1,X2) )
<=> sdtmndtasgtdt0(X0,X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mTCRDef) ).
fof(f144,plain,
sdtmndtasgtdt0(xb,xR,xx),
inference(cnf_transformation,[],[f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : COM021+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 29 17:21:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.48 % (12871)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)
% 0.20/0.50 % (12879)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)
% 0.20/0.51 % (12871)First to succeed.
% 0.20/0.52 % (12871)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 % (12871)------------------------------
% 0.20/0.52 % (12871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (12871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (12871)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (12871)Memory used [KB]: 1279
% 0.20/0.52 % (12871)Time elapsed: 0.084 s
% 0.20/0.52 % (12871)Instructions burned: 22 (million)
% 0.20/0.52 % (12871)------------------------------
% 0.20/0.52 % (12871)------------------------------
% 0.20/0.52 % (12854)Success in time 0.16 s
%------------------------------------------------------------------------------