TSTP Solution File: COM012+3 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %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 : 600s
% DateTime : Fri Jul 15 01:39:07 EDT 2022
% Result : Theorem 1.64s 1.83s
% Output : Refutation 1.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : COM012+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 19:52:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.64/1.83 # Version: 1.3
% 1.64/1.83 # SZS status Theorem
% 1.64/1.83 # SZS output start CNFRefutation
% 1.64/1.83 fof(m__,conjecture,(((((xx=xy|((aReductOfIn0(xy,xx,xR)|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xx,xR))&sdtmndtplgtdt0(W0,xR,xy))))&sdtmndtplgtdt0(xx,xR,xy)))&sdtmndtasgtdt0(xx,xR,xy))&(xy=xz|((aReductOfIn0(xz,xy,xR)|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xy,xR))&sdtmndtplgtdt0(W0,xR,xz))))&sdtmndtplgtdt0(xy,xR,xz))))&sdtmndtasgtdt0(xy,xR,xz))=>((((xx=xz|aReductOfIn0(xz,xx,xR))|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xx,xR))&sdtmndtplgtdt0(W0,xR,xz))))|sdtmndtplgtdt0(xx,xR,xz))|sdtmndtasgtdt0(xx,xR,xz))),input).
% 1.64/1.83 fof(c6,negated_conjecture,(~(((((xx=xy|((aReductOfIn0(xy,xx,xR)|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xx,xR))&sdtmndtplgtdt0(W0,xR,xy))))&sdtmndtplgtdt0(xx,xR,xy)))&sdtmndtasgtdt0(xx,xR,xy))&(xy=xz|((aReductOfIn0(xz,xy,xR)|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xy,xR))&sdtmndtplgtdt0(W0,xR,xz))))&sdtmndtplgtdt0(xy,xR,xz))))&sdtmndtasgtdt0(xy,xR,xz))=>((((xx=xz|aReductOfIn0(xz,xx,xR))|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xx,xR))&sdtmndtplgtdt0(W0,xR,xz))))|sdtmndtplgtdt0(xx,xR,xz))|sdtmndtasgtdt0(xx,xR,xz)))),inference(assume_negation,status(cth),[m__])).
% 1.64/1.83 fof(c7,negated_conjecture,(((((xx=xy|((aReductOfIn0(xy,xx,xR)|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xx,xR))&sdtmndtplgtdt0(W0,xR,xy))))&sdtmndtplgtdt0(xx,xR,xy)))&sdtmndtasgtdt0(xx,xR,xy))&(xy=xz|((aReductOfIn0(xz,xy,xR)|(?[W0]:((aElement0(W0)&aReductOfIn0(W0,xy,xR))&sdtmndtplgtdt0(W0,xR,xz))))&sdtmndtplgtdt0(xy,xR,xz))))&sdtmndtasgtdt0(xy,xR,xz))&((((xx!=xz&~aReductOfIn0(xz,xx,xR))&(![W0]:((~aElement0(W0)|~aReductOfIn0(W0,xx,xR))|~sdtmndtplgtdt0(W0,xR,xz))))&~sdtmndtplgtdt0(xx,xR,xz))&~sdtmndtasgtdt0(xx,xR,xz))),inference(fof_nnf,status(thm),[c6])).
% 1.64/1.83 fof(c8,negated_conjecture,(((((xx=xy|((aReductOfIn0(xy,xx,xR)|(?[X2]:((aElement0(X2)&aReductOfIn0(X2,xx,xR))&sdtmndtplgtdt0(X2,xR,xy))))&sdtmndtplgtdt0(xx,xR,xy)))&sdtmndtasgtdt0(xx,xR,xy))&(xy=xz|((aReductOfIn0(xz,xy,xR)|(?[X3]:((aElement0(X3)&aReductOfIn0(X3,xy,xR))&sdtmndtplgtdt0(X3,xR,xz))))&sdtmndtplgtdt0(xy,xR,xz))))&sdtmndtasgtdt0(xy,xR,xz))&((((xx!=xz&~aReductOfIn0(xz,xx,xR))&(![X4]:((~aElement0(X4)|~aReductOfIn0(X4,xx,xR))|~sdtmndtplgtdt0(X4,xR,xz))))&~sdtmndtplgtdt0(xx,xR,xz))&~sdtmndtasgtdt0(xx,xR,xz))),inference(variable_rename,status(thm),[c7])).
% 1.64/1.83 fof(c10,negated_conjecture,(![X4]:(((((xx=xy|((aReductOfIn0(xy,xx,xR)|((aElement0(skolem0001)&aReductOfIn0(skolem0001,xx,xR))&sdtmndtplgtdt0(skolem0001,xR,xy)))&sdtmndtplgtdt0(xx,xR,xy)))&sdtmndtasgtdt0(xx,xR,xy))&(xy=xz|((aReductOfIn0(xz,xy,xR)|((aElement0(skolem0002)&aReductOfIn0(skolem0002,xy,xR))&sdtmndtplgtdt0(skolem0002,xR,xz)))&sdtmndtplgtdt0(xy,xR,xz))))&sdtmndtasgtdt0(xy,xR,xz))&((((xx!=xz&~aReductOfIn0(xz,xx,xR))&((~aElement0(X4)|~aReductOfIn0(X4,xx,xR))|~sdtmndtplgtdt0(X4,xR,xz)))&~sdtmndtplgtdt0(xx,xR,xz))&~sdtmndtasgtdt0(xx,xR,xz)))),inference(shift_quantors,status(thm),[fof(c9,negated_conjecture,(((((xx=xy|((aReductOfIn0(xy,xx,xR)|((aElement0(skolem0001)&aReductOfIn0(skolem0001,xx,xR))&sdtmndtplgtdt0(skolem0001,xR,xy)))&sdtmndtplgtdt0(xx,xR,xy)))&sdtmndtasgtdt0(xx,xR,xy))&(xy=xz|((aReductOfIn0(xz,xy,xR)|((aElement0(skolem0002)&aReductOfIn0(skolem0002,xy,xR))&sdtmndtplgtdt0(skolem0002,xR,xz)))&sdtmndtplgtdt0(xy,xR,xz))))&sdtmndtasgtdt0(xy,xR,xz))&((((xx!=xz&~aReductOfIn0(xz,xx,xR))&(![X4]:((~aElement0(X4)|~aReductOfIn0(X4,xx,xR))|~sdtmndtplgtdt0(X4,xR,xz))))&~sdtmndtplgtdt0(xx,xR,xz))&~sdtmndtasgtdt0(xx,xR,xz))),inference(skolemize,status(esa),[c8])).])).
% 1.64/1.83 fof(c11,negated_conjecture,(![X4]:((((((((xx=xy|(aReductOfIn0(xy,xx,xR)|aElement0(skolem0001)))&(xx=xy|(aReductOfIn0(xy,xx,xR)|aReductOfIn0(skolem0001,xx,xR))))&(xx=xy|(aReductOfIn0(xy,xx,xR)|sdtmndtplgtdt0(skolem0001,xR,xy))))&(xx=xy|sdtmndtplgtdt0(xx,xR,xy)))&sdtmndtasgtdt0(xx,xR,xy))&((((xy=xz|(aReductOfIn0(xz,xy,xR)|aElement0(skolem0002)))&(xy=xz|(aReductOfIn0(xz,xy,xR)|aReductOfIn0(skolem0002,xy,xR))))&(xy=xz|(aReductOfIn0(xz,xy,xR)|sdtmndtplgtdt0(skolem0002,xR,xz))))&(xy=xz|sdtmndtplgtdt0(xy,xR,xz))))&sdtmndtasgtdt0(xy,xR,xz))&((((xx!=xz&~aReductOfIn0(xz,xx,xR))&((~aElement0(X4)|~aReductOfIn0(X4,xx,xR))|~sdtmndtplgtdt0(X4,xR,xz)))&~sdtmndtplgtdt0(xx,xR,xz))&~sdtmndtasgtdt0(xx,xR,xz)))),inference(distribute,status(thm),[c10])).
% 1.64/1.83 cnf(c26,negated_conjecture,~sdtmndtasgtdt0(xx,xR,xz),inference(split_conjunct,status(thm),[c11])).
% 1.64/1.83 cnf(reflexivity,axiom,X20=X20,eq_axiom).
% 1.64/1.83 cnf(c16,negated_conjecture,sdtmndtasgtdt0(xx,xR,xy),inference(split_conjunct,status(thm),[c11])).
% 1.64/1.83 cnf(c5,plain,X56!=X58|X57!=X54|X59!=X55|~sdtmndtasgtdt0(X56,X57,X59)|sdtmndtasgtdt0(X58,X54,X55),eq_axiom).
% 1.64/1.83 cnf(c86,plain,xx!=X82|xR!=X81|xy!=X80|sdtmndtasgtdt0(X82,X81,X80),inference(resolution,status(thm),[c5, c16])).
% 1.64/1.83 cnf(c21,negated_conjecture,sdtmndtasgtdt0(xy,xR,xz),inference(split_conjunct,status(thm),[c11])).
% 1.64/1.83 cnf(c87,plain,xy!=X92|xR!=X91|xz!=X90|sdtmndtasgtdt0(X92,X91,X90),inference(resolution,status(thm),[c5, c21])).
% 1.64/1.83 cnf(c241,plain,xy!=X96|xR!=X97|sdtmndtasgtdt0(X96,X97,xz),inference(resolution,status(thm),[c87, reflexivity])).
% 1.64/1.83 cnf(c248,plain,xy!=X98|sdtmndtasgtdt0(X98,xR,xz),inference(resolution,status(thm),[c241, reflexivity])).
% 1.64/1.83 cnf(symmetry,axiom,X22!=X21|X21=X22,eq_axiom).
% 1.64/1.83 fof(m__349,plain,(((aElement0(xx)&aRewritingSystem0(xR))&aElement0(xy))&aElement0(xz)),input).
% 1.64/1.83 cnf(c29,plain,aElement0(xy),inference(split_conjunct,status(thm),[m__349])).
% 1.64/1.83 cnf(c12,negated_conjecture,xx=xy|aReductOfIn0(xy,xx,xR)|aElement0(skolem0001),inference(split_conjunct,status(thm),[c11])).
% 1.64/1.83 cnf(c20,negated_conjecture,xy=xz|sdtmndtplgtdt0(xy,xR,xz),inference(split_conjunct,status(thm),[c11])).
% 1.64/1.83 cnf(c24,negated_conjecture,~aElement0(X60)|~aReductOfIn0(X60,xx,xR)|~sdtmndtplgtdt0(X60,xR,xz),inference(split_conjunct,status(thm),[c11])).
% 1.64/1.83 cnf(c88,plain,~aElement0(xy)|~aReductOfIn0(xy,xx,xR)|xy=xz,inference(resolution,status(thm),[c24, c20])).
% 1.64/1.83 cnf(c174,plain,~aElement0(xy)|xy=xz|xx=xy|aElement0(skolem0001),inference(resolution,status(thm),[c88, c12])).
% 1.64/1.83 cnf(c330,plain,xy=xz|xx=xy|aElement0(skolem0001),inference(resolution,status(thm),[c174, c29])).
% 1.64/1.83 cnf(c349,plain,xy=xz|aElement0(skolem0001)|xy=xx,inference(resolution,status(thm),[c330, symmetry])).
% 1.64/1.83 cnf(c398,plain,xy=xz|aElement0(skolem0001)|sdtmndtasgtdt0(xx,xR,xz),inference(resolution,status(thm),[c349, c248])).
% 1.64/1.83 cnf(c521,plain,xy=xz|aElement0(skolem0001),inference(resolution,status(thm),[c398, c26])).
% 1.64/1.83 cnf(c527,plain,aElement0(skolem0001)|xx!=X182|xR!=X181|sdtmndtasgtdt0(X182,X181,xz),inference(resolution,status(thm),[c521, c86])).
% 1.64/1.83 cnf(c741,plain,aElement0(skolem0001)|xx!=X183|sdtmndtasgtdt0(X183,xR,xz),inference(resolution,status(thm),[c527, reflexivity])).
% 1.64/1.83 cnf(c742,plain,aElement0(skolem0001)|sdtmndtasgtdt0(xx,xR,xz),inference(resolution,status(thm),[c741, reflexivity])).
% 1.64/1.83 cnf(c748,plain,aElement0(skolem0001),inference(resolution,status(thm),[c742, c26])).
% 1.64/1.83 cnf(c22,negated_conjecture,xx!=xz,inference(split_conjunct,status(thm),[c11])).
% 1.64/1.83 cnf(c13,negated_conjecture,xx=xy|aReductOfIn0(xy,xx,xR)|aReductOfIn0(skolem0001,xx,xR),inference(split_conjunct,status(thm),[c11])).
% 1.64/1.83 cnf(transitivity,axiom,X25!=X24|X24!=X26|X25=X26,eq_axiom).
% 1.64/1.83 cnf(c172,plain,~aElement0(xy)|xy=xz|xx=xy|aReductOfIn0(skolem0001,xx,xR),inference(resolution,status(thm),[c88, c13])).
% 1.64/1.83 cnf(c921,plain,xy=xz|xx=xy|aReductOfIn0(skolem0001,xx,xR),inference(resolution,status(thm),[c172, c29])).
% 1.64/1.83 cnf(c937,plain,xy=xz|aReductOfIn0(skolem0001,xx,xR)|xy=xx,inference(resolution,status(thm),[c921, symmetry])).
% 1.64/1.83 cnf(c1005,plain,xy=xz|aReductOfIn0(skolem0001,xx,xR)|sdtmndtasgtdt0(xx,xR,xz),inference(resolution,status(thm),[c937, c248])).
% 1.64/1.83 cnf(c1204,plain,xy=xz|aReductOfIn0(skolem0001,xx,xR),inference(resolution,status(thm),[c1005, c26])).
% 1.64/1.83 cnf(c1229,plain,aReductOfIn0(skolem0001,xx,xR)|X242!=xy|X242=xz,inference(resolution,status(thm),[c1204, transitivity])).
% 1.64/1.83 cnf(c1264,plain,aReductOfIn0(skolem0001,xx,xR)|xx=xz|aReductOfIn0(xy,xx,xR),inference(resolution,status(thm),[c1229, c13])).
% 1.64/1.83 cnf(c1440,plain,aReductOfIn0(skolem0001,xx,xR)|aReductOfIn0(xy,xx,xR),inference(resolution,status(thm),[c1264, c22])).
% 1.64/1.83 cnf(c222,plain,xx!=X255|xR!=X254|sdtmndtasgtdt0(X255,X254,xz)|sdtmndtplgtdt0(xy,xR,xz),inference(resolution,status(thm),[c86, c20])).
% 1.64/1.83 cnf(c1760,plain,xx!=X256|sdtmndtasgtdt0(X256,xR,xz)|sdtmndtplgtdt0(xy,xR,xz),inference(resolution,status(thm),[c222, reflexivity])).
% 1.64/1.83 cnf(c1761,plain,sdtmndtasgtdt0(xx,xR,xz)|sdtmndtplgtdt0(xy,xR,xz),inference(resolution,status(thm),[c1760, reflexivity])).
% 1.64/1.83 cnf(c1764,plain,sdtmndtplgtdt0(xy,xR,xz),inference(resolution,status(thm),[c1761, c26])).
% 1.64/1.83 cnf(c1774,plain,~aElement0(xy)|~aReductOfIn0(xy,xx,xR),inference(resolution,status(thm),[c1764, c24])).
% 1.64/1.83 cnf(c1781,plain,~aElement0(xy)|aReductOfIn0(skolem0001,xx,xR),inference(resolution,status(thm),[c1774, c1440])).
% 1.64/1.83 cnf(c1783,plain,aReductOfIn0(skolem0001,xx,xR),inference(resolution,status(thm),[c1781, c29])).
% 1.64/1.83 cnf(c28,plain,aRewritingSystem0(xR),inference(split_conjunct,status(thm),[m__349])).
% 1.64/1.83 cnf(c30,plain,aElement0(xz),inference(split_conjunct,status(thm),[m__349])).
% 1.64/1.83 cnf(c14,negated_conjecture,xx=xy|aReductOfIn0(xy,xx,xR)|sdtmndtplgtdt0(skolem0001,xR,xy),inference(split_conjunct,status(thm),[c11])).
% 1.64/1.83 cnf(c173,plain,~aElement0(xy)|xy=xz|xx=xy|sdtmndtplgtdt0(skolem0001,xR,xy),inference(resolution,status(thm),[c88, c14])).
% 1.64/1.83 cnf(c1256,plain,xy=xz|xx=xy|sdtmndtplgtdt0(skolem0001,xR,xy),inference(resolution,status(thm),[c173, c29])).
% 1.64/1.83 cnf(c1291,plain,xy=xz|sdtmndtplgtdt0(skolem0001,xR,xy)|xy=xx,inference(resolution,status(thm),[c1256, symmetry])).
% 1.64/1.83 cnf(c1380,plain,xy=xz|sdtmndtplgtdt0(skolem0001,xR,xy)|sdtmndtasgtdt0(xx,xR,xz),inference(resolution,status(thm),[c1291, c248])).
% 1.64/1.83 cnf(c1642,plain,xy=xz|sdtmndtplgtdt0(skolem0001,xR,xy),inference(resolution,status(thm),[c1380, c26])).
% 1.64/1.83 cnf(c1658,plain,sdtmndtplgtdt0(skolem0001,xR,xy)|X252!=xy|X252=xz,inference(resolution,status(thm),[c1642, transitivity])).
% 1.64/1.83 cnf(c1703,plain,sdtmndtplgtdt0(skolem0001,xR,xy)|xx=xz|aReductOfIn0(xy,xx,xR),inference(resolution,status(thm),[c1658, c14])).
% 1.64/1.83 cnf(c1736,plain,sdtmndtplgtdt0(skolem0001,xR,xy)|aReductOfIn0(xy,xx,xR),inference(resolution,status(thm),[c1703, c22])).
% 1.64/1.83 cnf(c1782,plain,~aElement0(xy)|sdtmndtplgtdt0(skolem0001,xR,xy),inference(resolution,status(thm),[c1774, c1736])).
% 1.64/1.83 cnf(c1787,plain,sdtmndtplgtdt0(skolem0001,xR,xy),inference(resolution,status(thm),[c1782, c29])).
% 1.64/1.83 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).
% 1.64/1.83 fof(c37,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])).
% 1.64/1.83 fof(c38,axiom,(![X8]:(![X9]:(![X10]:(![X11]:((((~aElement0(X8)|~aRewritingSystem0(X9))|~aElement0(X10))|~aElement0(X11))|((~sdtmndtplgtdt0(X8,X9,X10)|~sdtmndtplgtdt0(X10,X9,X11))|sdtmndtplgtdt0(X8,X9,X11))))))),inference(variable_rename,status(thm),[c37])).
% 1.64/1.83 cnf(c39,axiom,~aElement0(X84)|~aRewritingSystem0(X85)|~aElement0(X83)|~aElement0(X86)|~sdtmndtplgtdt0(X84,X85,X83)|~sdtmndtplgtdt0(X83,X85,X86)|sdtmndtplgtdt0(X84,X85,X86),inference(split_conjunct,status(thm),[c38])).
% 1.64/1.83 cnf(c1779,plain,~aElement0(X742)|~aRewritingSystem0(xR)|~aElement0(xy)|~aElement0(xz)|~sdtmndtplgtdt0(X742,xR,xy)|sdtmndtplgtdt0(X742,xR,xz),inference(resolution,status(thm),[c1764, c39])).
% 1.64/1.83 cnf(c2122,plain,~aElement0(skolem0001)|~aRewritingSystem0(xR)|~aElement0(xy)|~aElement0(xz)|sdtmndtplgtdt0(skolem0001,xR,xz),inference(resolution,status(thm),[c1779, c1787])).
% 1.64/1.83 cnf(c2124,plain,~aElement0(skolem0001)|~aRewritingSystem0(xR)|~aElement0(xy)|sdtmndtplgtdt0(skolem0001,xR,xz),inference(resolution,status(thm),[c2122, c30])).
% 1.64/1.83 cnf(c2125,plain,~aElement0(skolem0001)|~aRewritingSystem0(xR)|sdtmndtplgtdt0(skolem0001,xR,xz),inference(resolution,status(thm),[c2124, c29])).
% 1.64/1.83 cnf(c2126,plain,~aElement0(skolem0001)|sdtmndtplgtdt0(skolem0001,xR,xz),inference(resolution,status(thm),[c2125, c28])).
% 1.64/1.83 cnf(c2127,plain,sdtmndtplgtdt0(skolem0001,xR,xz),inference(resolution,status(thm),[c2126, c748])).
% 1.64/1.83 cnf(c2129,plain,~aElement0(skolem0001)|~aReductOfIn0(skolem0001,xx,xR),inference(resolution,status(thm),[c2127, c24])).
% 1.64/1.83 cnf(c2136,plain,~aElement0(skolem0001),inference(resolution,status(thm),[c2129, c1783])).
% 1.64/1.83 cnf(c2137,plain,$false,inference(resolution,status(thm),[c2136, c748])).
% 1.64/1.83 # SZS output end CNFRefutation
% 1.64/1.83
% 1.64/1.83 # Initial clauses : 42
% 1.64/1.83 # Processed clauses : 409
% 1.64/1.83 # Factors computed : 0
% 1.64/1.83 # Resolvents computed: 2076
% 1.64/1.83 # Tautologies deleted: 3
% 1.64/1.83 # Forward subsumed : 863
% 1.64/1.83 # Backward subsumed : 253
% 1.64/1.83 # -------- CPU Time ---------
% 1.64/1.83 # User time : 1.471 s
% 1.64/1.83 # System time : 0.019 s
% 1.64/1.83 # Total time : 1.490 s
%------------------------------------------------------------------------------