TSTP Solution File: RNG125+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.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 : Mon Jul 18 20:39:39 EDT 2022
% Result : Theorem 232.49s 232.74s
% Output : Refutation 232.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG125+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n022.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 : Mon May 30 04:54:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 232.49/232.74 # Version: 1.3
% 232.49/232.74 # SZS status Theorem
% 232.49/232.74 # SZS output start CNFRefutation
% 232.49/232.74 fof(m__2383,plain,(~(aDivisorOf0(xu,xa)&aDivisorOf0(xu,xb))),input).
% 232.49/232.74 fof(c30,plain,(~aDivisorOf0(xu,xa)|~aDivisorOf0(xu,xb)),inference(fof_nnf,status(thm),[m__2383])).
% 232.49/232.74 cnf(c31,plain,~aDivisorOf0(xu,xa)|~aDivisorOf0(xu,xb),inference(split_conjunct,status(thm),[c30])).
% 232.49/232.74 fof(m__2091,plain,(aElement0(xa)&aElement0(xb)),input).
% 232.49/232.74 cnf(c52,plain,aElement0(xb),inference(split_conjunct,status(thm),[m__2091])).
% 232.49/232.74 fof(m__2174,plain,(aIdeal0(xI)&xI=sdtpldt1(slsdtgt0(xa),slsdtgt0(xb))),input).
% 232.49/232.74 cnf(c47,plain,aIdeal0(xI),inference(split_conjunct,status(thm),[m__2174])).
% 232.49/232.74 fof(mDefIdeal,plain,(![W0]:(aIdeal0(W0)<=>(aSet0(W0)&(![W1]:(aElementOf0(W1,W0)=>((![W2]:(aElementOf0(W2,W0)=>aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]:(aElement0(W2)=>aElementOf0(sdtasdt0(W2,W1),W0))))))))),input).
% 232.49/232.74 fof(c139,plain,(![W0]:((~aIdeal0(W0)|(aSet0(W0)&(![W1]:(~aElementOf0(W1,W0)|((![W2]:(~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]:(~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0))))))))&((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&((?[W2]:(aElementOf0(W2,W0)&~aElementOf0(sdtpldt0(W1,W2),W0)))|(?[W2]:(aElement0(W2)&~aElementOf0(sdtasdt0(W2,W1),W0)))))))|aIdeal0(W0)))),inference(fof_nnf,status(thm),[mDefIdeal])).
% 232.49/232.74 fof(c140,plain,((![W0]:(~aIdeal0(W0)|(aSet0(W0)&(![W1]:(~aElementOf0(W1,W0)|((![W2]:(~aElementOf0(W2,W0)|aElementOf0(sdtpldt0(W1,W2),W0)))&(![W2]:(~aElement0(W2)|aElementOf0(sdtasdt0(W2,W1),W0)))))))))&(![W0]:((~aSet0(W0)|(?[W1]:(aElementOf0(W1,W0)&((?[W2]:(aElementOf0(W2,W0)&~aElementOf0(sdtpldt0(W1,W2),W0)))|(?[W2]:(aElement0(W2)&~aElementOf0(sdtasdt0(W2,W1),W0)))))))|aIdeal0(W0)))),inference(shift_quantors,status(thm),[c139])).
% 232.49/232.74 fof(c141,plain,((![X50]:(~aIdeal0(X50)|(aSet0(X50)&(![X51]:(~aElementOf0(X51,X50)|((![X52]:(~aElementOf0(X52,X50)|aElementOf0(sdtpldt0(X51,X52),X50)))&(![X53]:(~aElement0(X53)|aElementOf0(sdtasdt0(X53,X51),X50)))))))))&(![X54]:((~aSet0(X54)|(?[X55]:(aElementOf0(X55,X54)&((?[X56]:(aElementOf0(X56,X54)&~aElementOf0(sdtpldt0(X55,X56),X54)))|(?[X57]:(aElement0(X57)&~aElementOf0(sdtasdt0(X57,X55),X54)))))))|aIdeal0(X54)))),inference(variable_rename,status(thm),[c140])).
% 232.49/232.74 fof(c143,plain,(![X50]:(![X51]:(![X52]:(![X53]:(![X54]:((~aIdeal0(X50)|(aSet0(X50)&(~aElementOf0(X51,X50)|((~aElementOf0(X52,X50)|aElementOf0(sdtpldt0(X51,X52),X50))&(~aElement0(X53)|aElementOf0(sdtasdt0(X53,X51),X50))))))&((~aSet0(X54)|(aElementOf0(skolem0013(X54),X54)&((aElementOf0(skolem0014(X54),X54)&~aElementOf0(sdtpldt0(skolem0013(X54),skolem0014(X54)),X54))|(aElement0(skolem0015(X54))&~aElementOf0(sdtasdt0(skolem0015(X54),skolem0013(X54)),X54)))))|aIdeal0(X54)))))))),inference(shift_quantors,status(thm),[fof(c142,plain,((![X50]:(~aIdeal0(X50)|(aSet0(X50)&(![X51]:(~aElementOf0(X51,X50)|((![X52]:(~aElementOf0(X52,X50)|aElementOf0(sdtpldt0(X51,X52),X50)))&(![X53]:(~aElement0(X53)|aElementOf0(sdtasdt0(X53,X51),X50)))))))))&(![X54]:((~aSet0(X54)|(aElementOf0(skolem0013(X54),X54)&((aElementOf0(skolem0014(X54),X54)&~aElementOf0(sdtpldt0(skolem0013(X54),skolem0014(X54)),X54))|(aElement0(skolem0015(X54))&~aElementOf0(sdtasdt0(skolem0015(X54),skolem0013(X54)),X54)))))|aIdeal0(X54)))),inference(skolemize,status(esa),[c141])).])).
% 232.49/232.74 fof(c144,plain,(![X50]:(![X51]:(![X52]:(![X53]:(![X54]:(((~aIdeal0(X50)|aSet0(X50))&((~aIdeal0(X50)|(~aElementOf0(X51,X50)|(~aElementOf0(X52,X50)|aElementOf0(sdtpldt0(X51,X52),X50))))&(~aIdeal0(X50)|(~aElementOf0(X51,X50)|(~aElement0(X53)|aElementOf0(sdtasdt0(X53,X51),X50))))))&(((~aSet0(X54)|aElementOf0(skolem0013(X54),X54))|aIdeal0(X54))&((((~aSet0(X54)|(aElementOf0(skolem0014(X54),X54)|aElement0(skolem0015(X54))))|aIdeal0(X54))&((~aSet0(X54)|(aElementOf0(skolem0014(X54),X54)|~aElementOf0(sdtasdt0(skolem0015(X54),skolem0013(X54)),X54)))|aIdeal0(X54)))&(((~aSet0(X54)|(~aElementOf0(sdtpldt0(skolem0013(X54),skolem0014(X54)),X54)|aElement0(skolem0015(X54))))|aIdeal0(X54))&((~aSet0(X54)|(~aElementOf0(sdtpldt0(skolem0013(X54),skolem0014(X54)),X54)|~aElementOf0(sdtasdt0(skolem0015(X54),skolem0013(X54)),X54)))|aIdeal0(X54))))))))))),inference(distribute,status(thm),[c143])).
% 232.49/232.74 cnf(c145,plain,~aIdeal0(X118)|aSet0(X118),inference(split_conjunct,status(thm),[c144])).
% 232.49/232.74 cnf(c256,plain,aSet0(xI),inference(resolution,status(thm),[c145, c47])).
% 232.49/232.74 fof(m__2273,plain,((aElementOf0(xu,xI)&xu!=sz00)&(![W0]:((aElementOf0(W0,xI)&W0!=sz00)=>(~iLess0(sbrdtbr0(W0),sbrdtbr0(xu)))))),input).
% 232.49/232.74 fof(c32,plain,((aElementOf0(xu,xI)&xu!=sz00)&(![W0]:((aElementOf0(W0,xI)&W0!=sz00)=>~iLess0(sbrdtbr0(W0),sbrdtbr0(xu))))),inference(fof_simplification,status(thm),[m__2273])).
% 232.49/232.74 fof(c33,plain,((aElementOf0(xu,xI)&xu!=sz00)&(![W0]:((~aElementOf0(W0,xI)|W0=sz00)|~iLess0(sbrdtbr0(W0),sbrdtbr0(xu))))),inference(fof_nnf,status(thm),[c32])).
% 232.49/232.74 fof(c35,plain,(![X4]:((aElementOf0(xu,xI)&xu!=sz00)&((~aElementOf0(X4,xI)|X4=sz00)|~iLess0(sbrdtbr0(X4),sbrdtbr0(xu))))),inference(shift_quantors,status(thm),[fof(c34,plain,((aElementOf0(xu,xI)&xu!=sz00)&(![X4]:((~aElementOf0(X4,xI)|X4=sz00)|~iLess0(sbrdtbr0(X4),sbrdtbr0(xu))))),inference(variable_rename,status(thm),[c33])).])).
% 232.49/232.74 cnf(c36,plain,aElementOf0(xu,xI),inference(split_conjunct,status(thm),[c35])).
% 232.49/232.74 fof(mEOfElem,axiom,(![W0]:(aSet0(W0)=>(![W1]:(aElementOf0(W1,W0)=>aElement0(W1))))),input).
% 232.49/232.74 fof(c189,axiom,(![W0]:(~aSet0(W0)|(![W1]:(~aElementOf0(W1,W0)|aElement0(W1))))),inference(fof_nnf,status(thm),[mEOfElem])).
% 232.49/232.74 fof(c191,axiom,(![X84]:(![X85]:(~aSet0(X84)|(~aElementOf0(X85,X84)|aElement0(X85))))),inference(shift_quantors,status(thm),[fof(c190,axiom,(![X84]:(~aSet0(X84)|(![X85]:(~aElementOf0(X85,X84)|aElement0(X85))))),inference(variable_rename,status(thm),[c189])).])).
% 232.49/232.74 cnf(c192,axiom,~aSet0(X166)|~aElementOf0(X167,X166)|aElement0(X167),inference(split_conjunct,status(thm),[c191])).
% 232.49/232.74 cnf(c321,plain,~aSet0(xI)|aElement0(xu),inference(resolution,status(thm),[c192, c36])).
% 232.49/232.74 cnf(c326,plain,aElement0(xu),inference(resolution,status(thm),[c321, c256])).
% 232.49/232.74 fof(m__2612,plain,(~(~doDivides0(xu,xb))),input).
% 232.49/232.74 fof(c21,plain,doDivides0(xu,xb),inference(fof_simplification,status(thm),[m__2612])).
% 232.49/232.74 cnf(c22,plain,doDivides0(xu,xb),inference(split_conjunct,status(thm),[c21])).
% 232.49/232.74 fof(mDefDvs,plain,(![W0]:(aElement0(W0)=>(![W1]:(aDivisorOf0(W1,W0)<=>(aElement0(W1)&doDivides0(W1,W0)))))),input).
% 232.49/232.74 fof(c86,plain,(![W0]:(~aElement0(W0)|(![W1]:((~aDivisorOf0(W1,W0)|(aElement0(W1)&doDivides0(W1,W0)))&((~aElement0(W1)|~doDivides0(W1,W0))|aDivisorOf0(W1,W0)))))),inference(fof_nnf,status(thm),[mDefDvs])).
% 232.49/232.74 fof(c87,plain,(![W0]:(~aElement0(W0)|((![W1]:(~aDivisorOf0(W1,W0)|(aElement0(W1)&doDivides0(W1,W0))))&(![W1]:((~aElement0(W1)|~doDivides0(W1,W0))|aDivisorOf0(W1,W0)))))),inference(shift_quantors,status(thm),[c86])).
% 232.49/232.74 fof(c89,plain,(![X25]:(![X26]:(![X27]:(~aElement0(X25)|((~aDivisorOf0(X26,X25)|(aElement0(X26)&doDivides0(X26,X25)))&((~aElement0(X27)|~doDivides0(X27,X25))|aDivisorOf0(X27,X25))))))),inference(shift_quantors,status(thm),[fof(c88,plain,(![X25]:(~aElement0(X25)|((![X26]:(~aDivisorOf0(X26,X25)|(aElement0(X26)&doDivides0(X26,X25))))&(![X27]:((~aElement0(X27)|~doDivides0(X27,X25))|aDivisorOf0(X27,X25)))))),inference(variable_rename,status(thm),[c87])).])).
% 232.49/232.74 fof(c90,plain,(![X25]:(![X26]:(![X27]:(((~aElement0(X25)|(~aDivisorOf0(X26,X25)|aElement0(X26)))&(~aElement0(X25)|(~aDivisorOf0(X26,X25)|doDivides0(X26,X25))))&(~aElement0(X25)|((~aElement0(X27)|~doDivides0(X27,X25))|aDivisorOf0(X27,X25))))))),inference(distribute,status(thm),[c89])).
% 232.49/232.74 cnf(c93,plain,~aElement0(X246)|~aElement0(X247)|~doDivides0(X247,X246)|aDivisorOf0(X247,X246),inference(split_conjunct,status(thm),[c90])).
% 232.49/232.74 cnf(c1267,plain,~aElement0(xb)|~aElement0(xu)|aDivisorOf0(xu,xb),inference(resolution,status(thm),[c93, c22])).
% 232.49/232.74 cnf(c313598,plain,~aElement0(xb)|aDivisorOf0(xu,xb),inference(resolution,status(thm),[c1267, c326])).
% 232.49/232.74 cnf(c313599,plain,aDivisorOf0(xu,xb),inference(resolution,status(thm),[c313598, c52])).
% 232.49/232.74 cnf(c313606,plain,~aDivisorOf0(xu,xa),inference(resolution,status(thm),[c313599, c31])).
% 232.49/232.74 cnf(c51,plain,aElement0(xa),inference(split_conjunct,status(thm),[m__2091])).
% 232.49/232.74 fof(m__2479,plain,(~(~doDivides0(xu,xa))),input).
% 232.49/232.74 fof(c23,plain,doDivides0(xu,xa),inference(fof_simplification,status(thm),[m__2479])).
% 232.49/232.74 cnf(c24,plain,doDivides0(xu,xa),inference(split_conjunct,status(thm),[c23])).
% 232.49/232.74 cnf(c1268,plain,~aElement0(xa)|~aElement0(xu)|aDivisorOf0(xu,xa),inference(resolution,status(thm),[c93, c24])).
% 232.49/232.74 cnf(c313607,plain,~aElement0(xa)|aDivisorOf0(xu,xa),inference(resolution,status(thm),[c1268, c326])).
% 232.49/232.74 cnf(c313608,plain,aDivisorOf0(xu,xa),inference(resolution,status(thm),[c313607, c51])).
% 232.49/232.74 cnf(c313610,plain,$false,inference(resolution,status(thm),[c313608, c313606])).
% 232.49/232.74 # SZS output end CNFRefutation
% 232.49/232.74
% 232.49/232.74 # Initial clauses : 136
% 232.49/232.74 # Processed clauses : 3890
% 232.49/232.74 # Factors computed : 0
% 232.49/232.74 # Resolvents computed: 313361
% 232.49/232.74 # Tautologies deleted: 7
% 232.49/232.74 # Forward subsumed : 455
% 232.49/232.74 # Backward subsumed : 23
% 232.49/232.74 # -------- CPU Time ---------
% 232.49/232.74 # User time : 231.643 s
% 232.49/232.74 # System time : 0.677 s
% 232.49/232.74 # Total time : 232.320 s
%------------------------------------------------------------------------------