TSTP Solution File: SYN354+1 by PyRes---1.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SYN354+1 : TPTP v8.1.0. Released v2.0.0.
% 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 : Thu Jul 21 11:27:30 EDT 2022
% Result : Theorem 0.20s 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN354+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n022.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 : 600
% 0.13/0.34 % DateTime : Tue Jul 12 07:16:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.54 # Version: 1.3
% 0.20/0.54 # SZS status Theorem
% 0.20/0.54 # SZS output start CNFRefutation
% 0.20/0.54 fof(church_46_20_1,conjecture,(![X1]:(![X2]:(?[Y1]:(?[Y2]:(![Z]:(big_f(X1,X2)=>(big_g(X1,X2)=>(((big_g(X2,Z)<=>big_g(Y2,Z))=>(big_f(Y1,Y2)=>big_f(X2,Y2)))=>((big_g(X2,Z)<=>big_g(Y1,Z))=>((big_f(X1,Y1)&big_f(X2,Y1))&big_f(Y1,Y2))))))))))),input).
% 0.20/0.54 fof(c0,negated_conjecture,(~(![X1]:(![X2]:(?[Y1]:(?[Y2]:(![Z]:(big_f(X1,X2)=>(big_g(X1,X2)=>(((big_g(X2,Z)<=>big_g(Y2,Z))=>(big_f(Y1,Y2)=>big_f(X2,Y2)))=>((big_g(X2,Z)<=>big_g(Y1,Z))=>((big_f(X1,Y1)&big_f(X2,Y1))&big_f(Y1,Y2)))))))))))),inference(assume_negation,status(cth),[church_46_20_1])).
% 0.20/0.54 fof(c1,negated_conjecture,(?[X1]:(?[X2]:(![Y1]:(![Y2]:(?[Z]:(big_f(X1,X2)&(big_g(X1,X2)&((((~big_g(X2,Z)|~big_g(Y2,Z))&(big_g(X2,Z)|big_g(Y2,Z)))|(~big_f(Y1,Y2)|big_f(X2,Y2)))&(((~big_g(X2,Z)|big_g(Y1,Z))&(~big_g(Y1,Z)|big_g(X2,Z)))&((~big_f(X1,Y1)|~big_f(X2,Y1))|~big_f(Y1,Y2))))))))))),inference(fof_nnf,status(thm),[c0])).
% 0.20/0.54 fof(c2,negated_conjecture,(?[X1]:(?[X2]:(big_f(X1,X2)&(big_g(X1,X2)&(![Y1]:(![Y2]:(?[Z]:((((~big_g(X2,Z)|~big_g(Y2,Z))&(big_g(X2,Z)|big_g(Y2,Z)))|(~big_f(Y1,Y2)|big_f(X2,Y2)))&(((~big_g(X2,Z)|big_g(Y1,Z))&(~big_g(Y1,Z)|big_g(X2,Z)))&((~big_f(X1,Y1)|~big_f(X2,Y1))|~big_f(Y1,Y2))))))))))),inference(shift_quantors,status(thm),[c1])).
% 0.20/0.54 fof(c3,negated_conjecture,(?[X2]:(?[X3]:(big_f(X2,X3)&(big_g(X2,X3)&(![X4]:(![X5]:(?[X6]:((((~big_g(X3,X6)|~big_g(X5,X6))&(big_g(X3,X6)|big_g(X5,X6)))|(~big_f(X4,X5)|big_f(X3,X5)))&(((~big_g(X3,X6)|big_g(X4,X6))&(~big_g(X4,X6)|big_g(X3,X6)))&((~big_f(X2,X4)|~big_f(X3,X4))|~big_f(X4,X5))))))))))),inference(variable_rename,status(thm),[c2])).
% 0.20/0.54 fof(c5,negated_conjecture,(![X4]:(![X5]:(big_f(skolem0001,skolem0002)&(big_g(skolem0001,skolem0002)&((((~big_g(skolem0002,skolem0003(X4,X5))|~big_g(X5,skolem0003(X4,X5)))&(big_g(skolem0002,skolem0003(X4,X5))|big_g(X5,skolem0003(X4,X5))))|(~big_f(X4,X5)|big_f(skolem0002,X5)))&(((~big_g(skolem0002,skolem0003(X4,X5))|big_g(X4,skolem0003(X4,X5)))&(~big_g(X4,skolem0003(X4,X5))|big_g(skolem0002,skolem0003(X4,X5))))&((~big_f(skolem0001,X4)|~big_f(skolem0002,X4))|~big_f(X4,X5)))))))),inference(shift_quantors,status(thm),[fof(c4,negated_conjecture,(big_f(skolem0001,skolem0002)&(big_g(skolem0001,skolem0002)&(![X4]:(![X5]:((((~big_g(skolem0002,skolem0003(X4,X5))|~big_g(X5,skolem0003(X4,X5)))&(big_g(skolem0002,skolem0003(X4,X5))|big_g(X5,skolem0003(X4,X5))))|(~big_f(X4,X5)|big_f(skolem0002,X5)))&(((~big_g(skolem0002,skolem0003(X4,X5))|big_g(X4,skolem0003(X4,X5)))&(~big_g(X4,skolem0003(X4,X5))|big_g(skolem0002,skolem0003(X4,X5))))&((~big_f(skolem0001,X4)|~big_f(skolem0002,X4))|~big_f(X4,X5)))))))),inference(skolemize,status(esa),[c3])).])).
% 0.20/0.54 fof(c6,negated_conjecture,(![X4]:(![X5]:(big_f(skolem0001,skolem0002)&(big_g(skolem0001,skolem0002)&((((~big_g(skolem0002,skolem0003(X4,X5))|~big_g(X5,skolem0003(X4,X5)))|(~big_f(X4,X5)|big_f(skolem0002,X5)))&((big_g(skolem0002,skolem0003(X4,X5))|big_g(X5,skolem0003(X4,X5)))|(~big_f(X4,X5)|big_f(skolem0002,X5))))&(((~big_g(skolem0002,skolem0003(X4,X5))|big_g(X4,skolem0003(X4,X5)))&(~big_g(X4,skolem0003(X4,X5))|big_g(skolem0002,skolem0003(X4,X5))))&((~big_f(skolem0001,X4)|~big_f(skolem0002,X4))|~big_f(X4,X5)))))))),inference(distribute,status(thm),[c5])).
% 0.20/0.54 cnf(c7,negated_conjecture,big_f(skolem0001,skolem0002),inference(split_conjunct,status(thm),[c6])).
% 0.20/0.54 cnf(c10,negated_conjecture,big_g(skolem0002,skolem0003(X16,X15))|big_g(X15,skolem0003(X16,X15))|~big_f(X16,X15)|big_f(skolem0002,X15),inference(split_conjunct,status(thm),[c6])).
% 0.20/0.54 cnf(c15,plain,big_g(skolem0002,skolem0003(skolem0001,skolem0002))|big_f(skolem0002,skolem0002),inference(resolution,status(thm),[c10, c7])).
% 0.20/0.54 cnf(c9,negated_conjecture,~big_g(skolem0002,skolem0003(X12,X11))|~big_g(X11,skolem0003(X12,X11))|~big_f(X12,X11)|big_f(skolem0002,X11),inference(split_conjunct,status(thm),[c6])).
% 0.20/0.54 cnf(c16,plain,big_f(skolem0002,skolem0002)|~big_g(skolem0002,skolem0003(skolem0001,skolem0002))|~big_f(skolem0001,skolem0002),inference(resolution,status(thm),[c15, c9])).
% 0.20/0.54 cnf(c23,plain,big_f(skolem0002,skolem0002)|~big_f(skolem0001,skolem0002),inference(resolution,status(thm),[c16, c15])).
% 0.20/0.54 cnf(c24,plain,big_f(skolem0002,skolem0002),inference(resolution,status(thm),[c23, c7])).
% 0.20/0.54 cnf(c13,negated_conjecture,~big_f(skolem0001,X8)|~big_f(skolem0002,X8)|~big_f(X8,X7),inference(split_conjunct,status(thm),[c6])).
% 0.20/0.54 cnf(c26,plain,~big_f(skolem0001,skolem0002)|~big_f(skolem0002,skolem0002),inference(resolution,status(thm),[c24, c13])).
% 0.20/0.54 cnf(c27,plain,~big_f(skolem0001,skolem0002),inference(resolution,status(thm),[c26, c24])).
% 0.20/0.54 cnf(c28,plain,$false,inference(resolution,status(thm),[c27, c7])).
% 0.20/0.54 # SZS output end CNFRefutation
% 0.20/0.54
% 0.20/0.54 # Initial clauses : 7
% 0.20/0.54 # Processed clauses : 15
% 0.20/0.54 # Factors computed : 0
% 0.20/0.54 # Resolvents computed: 15
% 0.20/0.54 # Tautologies deleted: 0
% 0.20/0.54 # Forward subsumed : 1
% 0.20/0.54 # Backward subsumed : 5
% 0.20/0.54 # -------- CPU Time ---------
% 0.20/0.54 # User time : 0.170 s
% 0.20/0.54 # System time : 0.020 s
% 0.20/0.54 # Total time : 0.190 s
%------------------------------------------------------------------------------