%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWC179+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:43:31 EDT 2024
% Result : Theorem 25.25s 25.47s
% Output : Refutation 25.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWC179+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 9 02:44:08 EDT 2024
% 0.13/0.34 % CPUTime :
% 25.25/25.47 % Version: 1.5
% 25.25/25.47 % SZS status Theorem
% 25.25/25.47 % SZS output start CNFRefutation
% 25.25/25.47 fof(co1,conjecture,(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>(((V!=X|U!=W)|duplicatefreeP(U))|((![Y]:(ssItem(Y)=>(![Z]:(ssList(Z)=>(![X1]:(ssList(X1)=>(((cons(Y,nil)!=W|app(app(Z,W),X1)!=X)|(?[X2]:((ssItem(X2)&memberP(Z,X2))<(Y,X2))))|(?[X3]:((ssItem(X3)&memberP(X1,X3))<(X3,Y))))))))))&(nil!=X|nil!=W))))))))))),file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 25.25/25.47 fof(c23,negated_conjecture,(~(![U]:(ssList(U)=>(![V]:(ssList(V)=>(![W]:(ssList(W)=>(![X]:(ssList(X)=>(((V!=X|U!=W)|duplicatefreeP(U))|((![Y]:(ssItem(Y)=>(![Z]:(ssList(Z)=>(![X1]:(ssList(X1)=>(((cons(Y,nil)!=W|app(app(Z,W),X1)!=X)|(?[X2]:((ssItem(X2)&memberP(Z,X2))<(Y,X2))))|(?[X3]:((ssItem(X3)&memberP(X1,X3))<(X3,Y))))))))))&(nil!=X|nil!=W)))))))))))),inference(assume_negation,[status(cth)],[co1])).
% 25.25/25.47 fof(c24,negated_conjecture,(?[U]:(ssList(U)&(?[V]:(ssList(V)&(?[W]:(ssList(W)&(?[X]:(ssList(X)&(((V=X&U=W)&~duplicatefreeP(U))&((?[Y]:(ssItem(Y)&(?[Z]:(ssList(Z)&(?[X1]:(ssList(X1)&(((cons(Y,nil)=W&app(app(Z,W),X1)=X)&(![X2]:((~ssItem(X2)|~memberP(Z,X2))|~lt(Y,X2))))&(![X3]:((~ssItem(X3)|~memberP(X1,X3))|~lt(X3,Y))))))))))|(nil=X&nil=W))))))))))),inference(fof_nnf,[status(thm)],[c23])).
% 25.25/25.47 fof(c25,negated_conjecture,(?[X2]:(ssList(X2)&(?[X3]:(ssList(X3)&(?[X4]:(ssList(X4)&(?[X5]:(ssList(X5)&(((X3=X5&X2=X4)&~duplicatefreeP(X2))&((?[X6]:(ssItem(X6)&(?[X7]:(ssList(X7)&(?[X8]:(ssList(X8)&(((cons(X6,nil)=X4&app(app(X7,X4),X8)=X5)&(![X9]:((~ssItem(X9)|~memberP(X7,X9))|~lt(X6,X9))))&(![X10]:((~ssItem(X10)|~memberP(X8,X10))|~lt(X10,X6))))))))))|(nil=X5&nil=X4))))))))))),inference(variable_rename,[status(thm)],[c24])).
% 25.25/25.47 fof(c27,negated_conjecture,(![X9]:(![X10]:(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&(((skolem0002=skolem0004&skolem0001=skolem0003)&~duplicatefreeP(skolem0001))&((ssItem(skolem0005)&(ssList(skolem0006)&(ssList(skolem0007)&(((cons(skolem0005,nil)=skolem0003&app(app(skolem0006,skolem0003),skolem0007)=skolem0004)&((~ssItem(X9)|~memberP(skolem0006,X9))|~lt(skolem0005,X9)))&((~ssItem(X10)|~memberP(skolem0007,X10))|~lt(X10,skolem0005))))))|(nil=skolem0004&nil=skolem0003))))))))),inference(shift_quantors,[status(thm)],[fof(c26,negated_conjecture,(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&(((skolem0002=skolem0004&skolem0001=skolem0003)&~duplicatefreeP(skolem0001))&((ssItem(skolem0005)&(ssList(skolem0006)&(ssList(skolem0007)&(((cons(skolem0005,nil)=skolem0003&app(app(skolem0006,skolem0003),skolem0007)=skolem0004)&(![X9]:((~ssItem(X9)|~memberP(skolem0006,X9))|~lt(skolem0005,X9))))&(![X10]:((~ssItem(X10)|~memberP(skolem0007,X10))|~lt(X10,skolem0005)))))))|(nil=skolem0004&nil=skolem0003))))))),inference(skolemize,[status(esa)],[c25])).])).
% 25.25/25.47 fof(c28,negated_conjecture,(![X9]:(![X10]:(ssList(skolem0001)&(ssList(skolem0002)&(ssList(skolem0003)&(ssList(skolem0004)&(((skolem0002=skolem0004&skolem0001=skolem0003)&~duplicatefreeP(skolem0001))&(((ssItem(skolem0005)|nil=skolem0004)&(ssItem(skolem0005)|nil=skolem0003))&(((ssList(skolem0006)|nil=skolem0004)&(ssList(skolem0006)|nil=skolem0003))&(((ssList(skolem0007)|nil=skolem0004)&(ssList(skolem0007)|nil=skolem0003))&(((((cons(skolem0005,nil)=skolem0003|nil=skolem0004)&(cons(skolem0005,nil)=skolem0003|nil=skolem0003))&((app(app(skolem0006,skolem0003),skolem0007)=skolem0004|nil=skolem0004)&(app(app(skolem0006,skolem0003),skolem0007)=skolem0004|nil=skolem0003)))&((((~ssItem(X9)|~memberP(skolem0006,X9))|~lt(skolem0005,X9))|nil=skolem0004)&(((~ssItem(X9)|~memberP(skolem0006,X9))|~lt(skolem0005,X9))|nil=skolem0003)))&((((~ssItem(X10)|~memberP(skolem0007,X10))|~lt(X10,skolem0005))|nil=skolem0004)&(((~ssItem(X10)|~memberP(skolem0007,X10))|~lt(X10,skolem0005))|nil=skolem0003))))))))))))),inference(distribute,[status(thm)],[c27])).
% 25.25/25.47 cnf(c35,negated_conjecture,~duplicatefreeP(skolem0001),inference(split_conjunct,[status(thm)],[c28])).
% 25.25/25.47 cnf(symmetry,axiom,X257!=X256|X256=X257,theory(equality)).
% 25.25/25.47 cnf(c34,negated_conjecture,skolem0001=skolem0003,inference(split_conjunct,[status(thm)],[c28])).
% 25.25/25.47 cnf(c527,plain,skolem0003=skolem0001,inference(resolution,[status(thm)],[c34, symmetry])).
% 25.25/25.47 cnf(c19,axiom,X342!=X341|~duplicatefreeP(X342)|duplicatefreeP(X341),theory(equality)).
% 25.25/25.47 cnf(c659,plain,~duplicatefreeP(skolem0003)|duplicatefreeP(skolem0001),inference(resolution,[status(thm)],[c19, c527])).
% 25.25/25.47 fof(ax72,axiom,duplicatefreeP(nil),file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax72)).
% 25.25/25.47 cnf(c146,plain,duplicatefreeP(nil),inference(split_conjunct,[status(thm)],[ax72])).
% 25.25/25.47 fof(ax71,axiom,(![U]:(ssItem(U)=>duplicatefreeP(cons(U,nil)))),file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax71)).
% 25.25/25.47 fof(c147,plain,(![U]:(~ssItem(U)|duplicatefreeP(cons(U,nil)))),inference(fof_nnf,[status(thm)],[ax71])).
% 25.25/25.47 fof(c148,plain,(![X56]:(~ssItem(X56)|duplicatefreeP(cons(X56,nil)))),inference(variable_rename,[status(thm)],[c147])).
% 25.25/25.47 cnf(c149,plain,~ssItem(X356)|duplicatefreeP(cons(X356,nil)),inference(split_conjunct,[status(thm)],[c148])).
% 25.25/25.47 cnf(c37,negated_conjecture,ssItem(skolem0005)|nil=skolem0003,inference(split_conjunct,[status(thm)],[c28])).
% 25.25/25.47 cnf(c688,plain,ssItem(skolem0005)|~duplicatefreeP(nil)|duplicatefreeP(skolem0003),inference(resolution,[status(thm)],[c37, c19])).
% 25.25/25.47 cnf(c27362,plain,ssItem(skolem0005)|duplicatefreeP(skolem0003),inference(resolution,[status(thm)],[c688, c146])).
% 25.25/25.47 cnf(c27378,plain,ssItem(skolem0005)|duplicatefreeP(skolem0001),inference(resolution,[status(thm)],[c27362, c659])).
% 25.25/25.47 cnf(c27394,plain,ssItem(skolem0005),inference(resolution,[status(thm)],[c27378, c35])).
% 25.25/25.47 cnf(c27399,plain,duplicatefreeP(cons(skolem0005,nil)),inference(resolution,[status(thm)],[c27394, c149])).
% 25.25/25.47 cnf(c43,negated_conjecture,cons(skolem0005,nil)=skolem0003|nil=skolem0003,inference(split_conjunct,[status(thm)],[c28])).
% 25.25/25.47 cnf(c832,plain,nil=skolem0003|~duplicatefreeP(cons(skolem0005,nil))|duplicatefreeP(skolem0003),inference(resolution,[status(thm)],[c43, c19])).
% 25.25/25.47 cnf(c40260,plain,nil=skolem0003|duplicatefreeP(skolem0003),inference(resolution,[status(thm)],[c832, c27399])).
% 25.25/25.47 cnf(c46324,plain,duplicatefreeP(skolem0003)|~duplicatefreeP(nil),inference(resolution,[status(thm)],[c40260, c19])).
% 25.25/25.47 cnf(c46368,plain,duplicatefreeP(skolem0003),inference(resolution,[status(thm)],[c46324, c146])).
% 25.25/25.47 cnf(c46369,plain,duplicatefreeP(skolem0001),inference(resolution,[status(thm)],[c46368, c659])).
% 25.25/25.47 cnf(c46370,plain,$false,inference(resolution,[status(thm)],[c46369, c35])).
% 25.25/25.47 % SZS output end CNFRefutation
% 25.25/25.47
% 25.25/25.47 % Initial clauses : 237
% 25.25/25.47 % Processed clauses : 1552
% 25.25/25.47 % Factors computed : 44
% 25.25/25.47 % Resolvents computed: 45808
% 25.25/25.47 % Tautologies deleted: 14
% 25.25/25.47 % Forward subsumed : 996
% 25.25/25.47 % Backward subsumed : 224
% 25.25/25.47 % -------- CPU Time ---------
% 25.25/25.47 % User time : 25.017 s
% 25.25/25.47 % System time : 0.107 s
% 25.25/25.47 % Total time : 25.124 s
%------------------------------------------------------------------------------