TSTP Solution File: COM012+1 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 : Thu May 9 17:17:42 EDT 2024
% Result : Theorem 0.60s 0.77s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 54 ( 13 unt; 0 def)
% Number of atoms : 195 ( 35 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 244 ( 103 ~; 116 |; 19 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 56 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz) )
=> sdtmndtasgtdt0(xx,xR,xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(c6,negated_conjecture,
~ ( ( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz) )
=> sdtmndtasgtdt0(xx,xR,xz) ),
inference(assume_negation,[status(cth)],[m__]) ).
fof(c7,negated_conjecture,
( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz)
& ~ sdtmndtasgtdt0(xx,xR,xz) ),
inference(fof_nnf,[status(thm)],[c6]) ).
cnf(c10,negated_conjecture,
~ sdtmndtasgtdt0(xx,xR,xz),
inference(split_conjunct,[status(thm)],[c7]) ).
fof(m__349,plain,
( aElement0(xx)
& aRewritingSystem0(xR)
& aElement0(xy)
& aElement0(xz) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__349) ).
cnf(c11,plain,
aElement0(xx),
inference(split_conjunct,[status(thm)],[m__349]) ).
cnf(c12,plain,
aRewritingSystem0(xR),
inference(split_conjunct,[status(thm)],[m__349]) ).
cnf(c14,plain,
aElement0(xz),
inference(split_conjunct,[status(thm)],[m__349]) ).
fof(mTCRDef,plain,
! [W0,W1,W2] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2) )
=> ( sdtmndtasgtdt0(W0,W1,W2)
<=> ( W0 = W2
| sdtmndtplgtdt0(W0,W1,W2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCRDef) ).
fof(c15,plain,
! [W0,W1,W2] :
( ~ aElement0(W0)
| ~ aRewritingSystem0(W1)
| ~ aElement0(W2)
| ( ( ~ sdtmndtasgtdt0(W0,W1,W2)
| W0 = W2
| sdtmndtplgtdt0(W0,W1,W2) )
& ( ( W0 != W2
& ~ sdtmndtplgtdt0(W0,W1,W2) )
| sdtmndtasgtdt0(W0,W1,W2) ) ) ),
inference(fof_nnf,[status(thm)],[mTCRDef]) ).
fof(c16,plain,
! [X2,X3,X4] :
( ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X4)
| ( ( ~ sdtmndtasgtdt0(X2,X3,X4)
| X2 = X4
| sdtmndtplgtdt0(X2,X3,X4) )
& ( ( X2 != X4
& ~ sdtmndtplgtdt0(X2,X3,X4) )
| sdtmndtasgtdt0(X2,X3,X4) ) ) ),
inference(variable_rename,[status(thm)],[c15]) ).
fof(c17,plain,
! [X2,X3,X4] :
( ( ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X4)
| ~ sdtmndtasgtdt0(X2,X3,X4)
| X2 = X4
| sdtmndtplgtdt0(X2,X3,X4) )
& ( ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X4)
| X2 != X4
| sdtmndtasgtdt0(X2,X3,X4) )
& ( ~ aElement0(X2)
| ~ aRewritingSystem0(X3)
| ~ aElement0(X4)
| ~ sdtmndtplgtdt0(X2,X3,X4)
| sdtmndtasgtdt0(X2,X3,X4) ) ),
inference(distribute,[status(thm)],[c16]) ).
cnf(c20,plain,
( ~ aElement0(X60)
| ~ aRewritingSystem0(X58)
| ~ aElement0(X59)
| ~ sdtmndtplgtdt0(X60,X58,X59)
| sdtmndtasgtdt0(X60,X58,X59) ),
inference(split_conjunct,[status(thm)],[c17]) ).
cnf(c13,plain,
aElement0(xy),
inference(split_conjunct,[status(thm)],[m__349]) ).
cnf(reflexivity,axiom,
X17 = X17,
theory(equality) ).
cnf(c9,negated_conjecture,
sdtmndtasgtdt0(xy,xR,xz),
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(c5,axiom,
( X65 != X67
| X68 != X66
| X64 != X69
| ~ sdtmndtasgtdt0(X65,X68,X64)
| sdtmndtasgtdt0(X67,X66,X69) ),
theory(equality) ).
cnf(c59,plain,
( xy != X111
| xR != X109
| xz != X110
| sdtmndtasgtdt0(X111,X109,X110) ),
inference(resolution,[status(thm)],[c5,c9]) ).
cnf(c82,plain,
( xy != X113
| xR != X112
| sdtmndtasgtdt0(X113,X112,xz) ),
inference(resolution,[status(thm)],[c59,reflexivity]) ).
cnf(c83,plain,
( xy != X117
| sdtmndtasgtdt0(X117,xR,xz) ),
inference(resolution,[status(thm)],[c82,reflexivity]) ).
cnf(symmetry,axiom,
( X19 != X18
| X18 = X19 ),
theory(equality) ).
cnf(c8,negated_conjecture,
sdtmndtasgtdt0(xx,xR,xy),
inference(split_conjunct,[status(thm)],[c7]) ).
cnf(c18,plain,
( ~ aElement0(X75)
| ~ aRewritingSystem0(X73)
| ~ aElement0(X74)
| ~ sdtmndtasgtdt0(X75,X73,X74)
| X75 = X74
| sdtmndtplgtdt0(X75,X73,X74) ),
inference(split_conjunct,[status(thm)],[c17]) ).
cnf(c65,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xy)
| xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
inference(resolution,[status(thm)],[c18,c8]) ).
cnf(c91,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
inference(resolution,[status(thm)],[c65,c13]) ).
cnf(c92,plain,
( ~ aElement0(xx)
| xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
inference(resolution,[status(thm)],[c91,c12]) ).
cnf(c93,plain,
( xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
inference(resolution,[status(thm)],[c92,c11]) ).
cnf(c94,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| xy = xx ),
inference(resolution,[status(thm)],[c93,symmetry]) ).
cnf(c118,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(resolution,[status(thm)],[c94,c83]) ).
cnf(c147,plain,
sdtmndtplgtdt0(xx,xR,xy),
inference(resolution,[status(thm)],[c118,c10]) ).
fof(mTCTrans,axiom,
! [W0,W1,W2,W3] :
( ( aElement0(W0)
& aRewritingSystem0(W1)
& aElement0(W2)
& aElement0(W3) )
=> ( ( sdtmndtplgtdt0(W0,W1,W2)
& sdtmndtplgtdt0(W2,W1,W3) )
=> sdtmndtplgtdt0(W0,W1,W3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mTCTrans) ).
fof(c21,plain,
! [W0,W1,W2,W3] :
( ~ aElement0(W0)
| ~ aRewritingSystem0(W1)
| ~ aElement0(W2)
| ~ aElement0(W3)
| ~ sdtmndtplgtdt0(W0,W1,W2)
| ~ sdtmndtplgtdt0(W2,W1,W3)
| sdtmndtplgtdt0(W0,W1,W3) ),
inference(fof_nnf,[status(thm)],[mTCTrans]) ).
fof(c22,plain,
! [X5,X6,X7,X8] :
( ~ aElement0(X5)
| ~ aRewritingSystem0(X6)
| ~ aElement0(X7)
| ~ aElement0(X8)
| ~ sdtmndtplgtdt0(X5,X6,X7)
| ~ sdtmndtplgtdt0(X7,X6,X8)
| sdtmndtplgtdt0(X5,X6,X8) ),
inference(variable_rename,[status(thm)],[c21]) ).
cnf(c23,plain,
( ~ aElement0(X83)
| ~ aRewritingSystem0(X84)
| ~ aElement0(X82)
| ~ aElement0(X85)
| ~ sdtmndtplgtdt0(X83,X84,X82)
| ~ sdtmndtplgtdt0(X82,X84,X85)
| sdtmndtplgtdt0(X83,X84,X85) ),
inference(split_conjunct,[status(thm)],[c22]) ).
cnf(c58,plain,
( xx != X102
| xR != X100
| xy != X101
| sdtmndtasgtdt0(X102,X100,X101) ),
inference(resolution,[status(thm)],[c5,c8]) ).
cnf(c66,plain,
( ~ aElement0(xy)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xz)
| xy = xz
| sdtmndtplgtdt0(xy,xR,xz) ),
inference(resolution,[status(thm)],[c18,c9]) ).
cnf(c110,plain,
( ~ aElement0(xy)
| ~ aRewritingSystem0(xR)
| xy = xz
| sdtmndtplgtdt0(xy,xR,xz) ),
inference(resolution,[status(thm)],[c66,c14]) ).
cnf(c158,plain,
( ~ aElement0(xy)
| xy = xz
| sdtmndtplgtdt0(xy,xR,xz) ),
inference(resolution,[status(thm)],[c110,c12]) ).
cnf(c160,plain,
( xy = xz
| sdtmndtplgtdt0(xy,xR,xz) ),
inference(resolution,[status(thm)],[c158,c13]) ).
cnf(c171,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| xx != X158
| xR != X159
| sdtmndtasgtdt0(X158,X159,xz) ),
inference(resolution,[status(thm)],[c160,c58]) ).
cnf(c226,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| xx != X160
| sdtmndtasgtdt0(X160,xR,xz) ),
inference(resolution,[status(thm)],[c171,reflexivity]) ).
cnf(c227,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(resolution,[status(thm)],[c226,reflexivity]) ).
cnf(c237,plain,
sdtmndtplgtdt0(xy,xR,xz),
inference(resolution,[status(thm)],[c227,c10]) ).
cnf(c241,plain,
( ~ aElement0(X218)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xy)
| ~ aElement0(xz)
| ~ sdtmndtplgtdt0(X218,xR,xy)
| sdtmndtplgtdt0(X218,xR,xz) ),
inference(resolution,[status(thm)],[c237,c23]) ).
cnf(c252,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xy)
| ~ aElement0(xz)
| sdtmndtplgtdt0(xx,xR,xz) ),
inference(resolution,[status(thm)],[c241,c147]) ).
cnf(c254,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xy)
| sdtmndtplgtdt0(xx,xR,xz) ),
inference(resolution,[status(thm)],[c252,c14]) ).
cnf(c255,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| sdtmndtplgtdt0(xx,xR,xz) ),
inference(resolution,[status(thm)],[c254,c13]) ).
cnf(c256,plain,
( ~ aElement0(xx)
| sdtmndtplgtdt0(xx,xR,xz) ),
inference(resolution,[status(thm)],[c255,c12]) ).
cnf(c257,plain,
sdtmndtplgtdt0(xx,xR,xz),
inference(resolution,[status(thm)],[c256,c11]) ).
cnf(c259,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xz)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(resolution,[status(thm)],[c257,c20]) ).
cnf(c265,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(resolution,[status(thm)],[c259,c14]) ).
cnf(c266,plain,
( ~ aElement0(xx)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(resolution,[status(thm)],[c265,c12]) ).
cnf(c267,plain,
sdtmndtasgtdt0(xx,xR,xz),
inference(resolution,[status(thm)],[c266,c11]) ).
cnf(c270,plain,
$false,
inference(resolution,[status(thm)],[c267,c10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : COM012+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n021.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 9 07:11:38 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.60/0.77 % Version: 1.5
% 0.60/0.77 % SZS status Theorem
% 0.60/0.77 % SZS output start CNFRefutation
% See solution above
% 0.60/0.77
% 0.60/0.77 % Initial clauses : 30
% 0.60/0.77 % Processed clauses : 110
% 0.60/0.77 % Factors computed : 5
% 0.60/0.77 % Resolvents computed: 220
% 0.60/0.77 % Tautologies deleted: 5
% 0.60/0.77 % Forward subsumed : 75
% 0.60/0.77 % Backward subsumed : 36
% 0.60/0.77 % -------- CPU Time ---------
% 0.60/0.77 % User time : 0.368 s
% 0.60/0.77 % System time : 0.018 s
% 0.60/0.77 % Total time : 0.386 s
%------------------------------------------------------------------------------