TSTP Solution File: COM012+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : COM012+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n007.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 : 600s
% DateTime : Fri Jul 15 01:39:07 EDT 2022
% Result : Theorem 0.45s 0.67s
% Output : Refutation 0.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
fof(m__,conjecture,
( ( sdtmndtasgtdt0(xx,xR,xy)
& sdtmndtasgtdt0(xy,xR,xz) )
=> sdtmndtasgtdt0(xx,xR,xz) ),
input ).
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) ),
input ).
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) ) ) ),
input ).
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(X59)
| ~ aRewritingSystem0(X58)
| ~ aElement0(X57)
| ~ sdtmndtplgtdt0(X59,X58,X57)
| sdtmndtasgtdt0(X59,X58,X57) ),
inference(split_conjunct,status(thm),[c17]) ).
cnf(c13,plain,
aElement0(xy),
inference(split_conjunct,status(thm),[m__349]) ).
cnf(reflexivity,axiom,
X17 = X17,
eq_axiom ).
cnf(c9,negated_conjecture,
sdtmndtasgtdt0(xy,xR,xz),
inference(split_conjunct,status(thm),[c7]) ).
cnf(c5,plain,
( X68 != X63
| X65 != X66
| X67 != X64
| ~ sdtmndtasgtdt0(X68,X65,X67)
| sdtmndtasgtdt0(X63,X66,X64) ),
eq_axiom ).
cnf(c59,plain,
( xy != X105
| xR != X104
| xz != X103
| sdtmndtasgtdt0(X105,X104,X103) ),
inference(resolution,status(thm),[c5,c9]) ).
cnf(c77,plain,
( xy != X109
| xR != X110
| sdtmndtasgtdt0(X109,X110,xz) ),
inference(resolution,status(thm),[c59,reflexivity]) ).
cnf(c78,plain,
( xy != X111
| sdtmndtasgtdt0(X111,xR,xz) ),
inference(resolution,status(thm),[c77,reflexivity]) ).
cnf(symmetry,axiom,
( X19 != X18
| X18 = X19 ),
eq_axiom ).
cnf(c8,negated_conjecture,
sdtmndtasgtdt0(xx,xR,xy),
inference(split_conjunct,status(thm),[c7]) ).
cnf(c18,plain,
( ~ aElement0(X76)
| ~ aRewritingSystem0(X75)
| ~ aElement0(X74)
| ~ sdtmndtasgtdt0(X76,X75,X74)
| X76 = X74
| sdtmndtplgtdt0(X76,X75,X74) ),
inference(split_conjunct,status(thm),[c17]) ).
cnf(c62,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xy)
| xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
inference(resolution,status(thm),[c18,c8]) ).
cnf(c80,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
inference(resolution,status(thm),[c62,c13]) ).
cnf(c81,plain,
( ~ aElement0(xx)
| xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
inference(resolution,status(thm),[c80,c12]) ).
cnf(c82,plain,
( xx = xy
| sdtmndtplgtdt0(xx,xR,xy) ),
inference(resolution,status(thm),[c81,c11]) ).
cnf(c90,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| xy = xx ),
inference(resolution,status(thm),[c82,symmetry]) ).
cnf(c106,plain,
( sdtmndtplgtdt0(xx,xR,xy)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(resolution,status(thm),[c90,c78]) ).
cnf(c132,plain,
sdtmndtplgtdt0(xx,xR,xy),
inference(resolution,status(thm),[c106,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) ) ),
input ).
fof(c21,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) ),
inference(fof_nnf,status(thm),[mTCTrans]) ).
fof(c22,axiom,
! [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,axiom,
( ~ aElement0(X87)
| ~ aRewritingSystem0(X84)
| ~ aElement0(X85)
| ~ aElement0(X86)
| ~ sdtmndtplgtdt0(X87,X84,X85)
| ~ sdtmndtplgtdt0(X85,X84,X86)
| sdtmndtplgtdt0(X87,X84,X86) ),
inference(split_conjunct,status(thm),[c22]) ).
cnf(c55,plain,
( xx != X71
| xR != X70
| xy != X69
| sdtmndtasgtdt0(X71,X70,X69) ),
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(c123,plain,
( ~ aElement0(xy)
| ~ aRewritingSystem0(xR)
| xy = xz
| sdtmndtplgtdt0(xy,xR,xz) ),
inference(resolution,status(thm),[c66,c14]) ).
cnf(c144,plain,
( ~ aElement0(xy)
| xy = xz
| sdtmndtplgtdt0(xy,xR,xz) ),
inference(resolution,status(thm),[c123,c12]) ).
cnf(c145,plain,
( xy = xz
| sdtmndtplgtdt0(xy,xR,xz) ),
inference(resolution,status(thm),[c144,c13]) ).
cnf(c150,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| xx != X137
| xR != X138
| sdtmndtasgtdt0(X137,X138,xz) ),
inference(resolution,status(thm),[c145,c55]) ).
cnf(c193,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| xx != X139
| sdtmndtasgtdt0(X139,xR,xz) ),
inference(resolution,status(thm),[c150,reflexivity]) ).
cnf(c194,plain,
( sdtmndtplgtdt0(xy,xR,xz)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(resolution,status(thm),[c193,reflexivity]) ).
cnf(c204,plain,
sdtmndtplgtdt0(xy,xR,xz),
inference(resolution,status(thm),[c194,c10]) ).
cnf(c210,plain,
( ~ aElement0(X199)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xy)
| ~ aElement0(xz)
| ~ sdtmndtplgtdt0(X199,xR,xy)
| sdtmndtplgtdt0(X199,xR,xz) ),
inference(resolution,status(thm),[c204,c23]) ).
cnf(c219,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xy)
| ~ aElement0(xz)
| sdtmndtplgtdt0(xx,xR,xz) ),
inference(resolution,status(thm),[c210,c132]) ).
cnf(c220,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xy)
| sdtmndtplgtdt0(xx,xR,xz) ),
inference(resolution,status(thm),[c219,c14]) ).
cnf(c221,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| sdtmndtplgtdt0(xx,xR,xz) ),
inference(resolution,status(thm),[c220,c13]) ).
cnf(c222,plain,
( ~ aElement0(xx)
| sdtmndtplgtdt0(xx,xR,xz) ),
inference(resolution,status(thm),[c221,c12]) ).
cnf(c223,plain,
sdtmndtplgtdt0(xx,xR,xz),
inference(resolution,status(thm),[c222,c11]) ).
cnf(c228,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| ~ aElement0(xz)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(resolution,status(thm),[c223,c20]) ).
cnf(c232,plain,
( ~ aElement0(xx)
| ~ aRewritingSystem0(xR)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(resolution,status(thm),[c228,c14]) ).
cnf(c233,plain,
( ~ aElement0(xx)
| sdtmndtasgtdt0(xx,xR,xz) ),
inference(resolution,status(thm),[c232,c12]) ).
cnf(c234,plain,
sdtmndtasgtdt0(xx,xR,xz),
inference(resolution,status(thm),[c233,c11]) ).
cnf(c236,plain,
$false,
inference(resolution,status(thm),[c234,c10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : COM012+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 19:25:26 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.45/0.67 # Version: 1.3
% 0.45/0.67 # SZS status Theorem
% 0.45/0.67 # SZS output start CNFRefutation
% See solution above
% 0.45/0.67
% 0.45/0.67 # Initial clauses : 30
% 0.45/0.67 # Processed clauses : 101
% 0.45/0.67 # Factors computed : 0
% 0.45/0.67 # Resolvents computed: 193
% 0.45/0.67 # Tautologies deleted: 3
% 0.45/0.67 # Forward subsumed : 64
% 0.45/0.67 # Backward subsumed : 32
% 0.45/0.67 # -------- CPU Time ---------
% 0.45/0.67 # User time : 0.286 s
% 0.45/0.67 # System time : 0.013 s
% 0.45/0.67 # Total time : 0.299 s
%------------------------------------------------------------------------------