TSTP Solution File: SEU133+1 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SEU133+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 : Tue Jul 19 13:35:48 EDT 2022
% Result : Theorem 1.26s 1.43s
% Output : Refutation 1.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU133+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n005.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 : Sun Jun 19 12:31:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.26/1.43 # Version: 1.3
% 1.26/1.43 # SZS status Theorem
% 1.26/1.43 # SZS output start CNFRefutation
% 1.26/1.43 fof(t36_xboole_1,conjecture,(![A]:(![B]:subset(set_difference(A,B),A))),input).
% 1.26/1.43 fof(c17,negated_conjecture,(~(![A]:(![B]:subset(set_difference(A,B),A)))),inference(assume_negation,status(cth),[t36_xboole_1])).
% 1.26/1.43 fof(c18,negated_conjecture,(?[A]:(?[B]:~subset(set_difference(A,B),A))),inference(fof_nnf,status(thm),[c17])).
% 1.26/1.43 fof(c19,negated_conjecture,(?[X9]:(?[X10]:~subset(set_difference(X9,X10),X9))),inference(variable_rename,status(thm),[c18])).
% 1.26/1.43 fof(c20,negated_conjecture,~subset(set_difference(skolem0001,skolem0002),skolem0001),inference(skolemize,status(esa),[c19])).
% 1.26/1.43 cnf(c21,negated_conjecture,~subset(set_difference(skolem0001,skolem0002),skolem0001),inference(split_conjunct,status(thm),[c20])).
% 1.26/1.43 fof(d3_tarski,axiom,(![A]:(![B]:(subset(A,B)<=>(![C]:(in(C,A)=>in(C,B)))))),input).
% 1.26/1.43 fof(c48,axiom,(![A]:(![B]:((~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))&((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(fof_nnf,status(thm),[d3_tarski])).
% 1.26/1.43 fof(c49,axiom,((![A]:(![B]:(~subset(A,B)|(![C]:(~in(C,A)|in(C,B))))))&(![A]:(![B]:((?[C]:(in(C,A)&~in(C,B)))|subset(A,B))))),inference(shift_quantors,status(thm),[c48])).
% 1.26/1.43 fof(c50,axiom,((![X23]:(![X24]:(~subset(X23,X24)|(![X25]:(~in(X25,X23)|in(X25,X24))))))&(![X26]:(![X27]:((?[X28]:(in(X28,X26)&~in(X28,X27)))|subset(X26,X27))))),inference(variable_rename,status(thm),[c49])).
% 1.26/1.43 fof(c52,axiom,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:((~subset(X23,X24)|(~in(X25,X23)|in(X25,X24)))&((in(skolem0006(X26,X27),X26)&~in(skolem0006(X26,X27),X27))|subset(X26,X27)))))))),inference(shift_quantors,status(thm),[fof(c51,axiom,((![X23]:(![X24]:(~subset(X23,X24)|(![X25]:(~in(X25,X23)|in(X25,X24))))))&(![X26]:(![X27]:((in(skolem0006(X26,X27),X26)&~in(skolem0006(X26,X27),X27))|subset(X26,X27))))),inference(skolemize,status(esa),[c50])).])).
% 1.26/1.43 fof(c53,axiom,(![X23]:(![X24]:(![X25]:(![X26]:(![X27]:((~subset(X23,X24)|(~in(X25,X23)|in(X25,X24)))&((in(skolem0006(X26,X27),X26)|subset(X26,X27))&(~in(skolem0006(X26,X27),X27)|subset(X26,X27))))))))),inference(distribute,status(thm),[c52])).
% 1.26/1.43 cnf(c56,axiom,~in(skolem0006(X124,X123),X123)|subset(X124,X123),inference(split_conjunct,status(thm),[c53])).
% 1.26/1.43 cnf(c55,axiom,in(skolem0006(X117,X116),X117)|subset(X117,X116),inference(split_conjunct,status(thm),[c53])).
% 1.26/1.43 cnf(reflexivity,axiom,X31=X31,eq_axiom).
% 1.26/1.43 fof(d4_xboole_0,axiom,(![A]:(![B]:(![C]:(C=set_difference(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&(~in(D,B))))))))),input).
% 1.26/1.43 fof(c35,axiom,(![A]:(![B]:(![C]:(C=set_difference(A,B)<=>(![D]:(in(D,C)<=>(in(D,A)&~in(D,B)))))))),inference(fof_simplification,status(thm),[d4_xboole_0])).
% 1.26/1.43 fof(c36,axiom,(![A]:(![B]:(![C]:((C!=set_difference(A,B)|(![D]:((~in(D,C)|(in(D,A)&~in(D,B)))&((~in(D,A)|in(D,B))|in(D,C)))))&((?[D]:((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))|C=set_difference(A,B)))))),inference(fof_nnf,status(thm),[c35])).
% 1.26/1.43 fof(c37,axiom,((![A]:(![B]:(![C]:(C!=set_difference(A,B)|((![D]:(~in(D,C)|(in(D,A)&~in(D,B))))&(![D]:((~in(D,A)|in(D,B))|in(D,C))))))))&(![A]:(![B]:(![C]:((?[D]:((~in(D,C)|(~in(D,A)|in(D,B)))&(in(D,C)|(in(D,A)&~in(D,B)))))|C=set_difference(A,B)))))),inference(shift_quantors,status(thm),[c36])).
% 1.26/1.43 fof(c38,axiom,((![X14]:(![X15]:(![X16]:(X16!=set_difference(X14,X15)|((![X17]:(~in(X17,X16)|(in(X17,X14)&~in(X17,X15))))&(![X18]:((~in(X18,X14)|in(X18,X15))|in(X18,X16))))))))&(![X19]:(![X20]:(![X21]:((?[X22]:((~in(X22,X21)|(~in(X22,X19)|in(X22,X20)))&(in(X22,X21)|(in(X22,X19)&~in(X22,X20)))))|X21=set_difference(X19,X20)))))),inference(variable_rename,status(thm),[c37])).
% 1.26/1.43 fof(c40,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((X16!=set_difference(X14,X15)|((~in(X17,X16)|(in(X17,X14)&~in(X17,X15)))&((~in(X18,X14)|in(X18,X15))|in(X18,X16))))&(((~in(skolem0005(X19,X20,X21),X21)|(~in(skolem0005(X19,X20,X21),X19)|in(skolem0005(X19,X20,X21),X20)))&(in(skolem0005(X19,X20,X21),X21)|(in(skolem0005(X19,X20,X21),X19)&~in(skolem0005(X19,X20,X21),X20))))|X21=set_difference(X19,X20))))))))))),inference(shift_quantors,status(thm),[fof(c39,axiom,((![X14]:(![X15]:(![X16]:(X16!=set_difference(X14,X15)|((![X17]:(~in(X17,X16)|(in(X17,X14)&~in(X17,X15))))&(![X18]:((~in(X18,X14)|in(X18,X15))|in(X18,X16))))))))&(![X19]:(![X20]:(![X21]:(((~in(skolem0005(X19,X20,X21),X21)|(~in(skolem0005(X19,X20,X21),X19)|in(skolem0005(X19,X20,X21),X20)))&(in(skolem0005(X19,X20,X21),X21)|(in(skolem0005(X19,X20,X21),X19)&~in(skolem0005(X19,X20,X21),X20))))|X21=set_difference(X19,X20)))))),inference(skolemize,status(esa),[c38])).])).
% 1.26/1.43 fof(c41,axiom,(![X14]:(![X15]:(![X16]:(![X17]:(![X18]:(![X19]:(![X20]:(![X21]:((((X16!=set_difference(X14,X15)|(~in(X17,X16)|in(X17,X14)))&(X16!=set_difference(X14,X15)|(~in(X17,X16)|~in(X17,X15))))&(X16!=set_difference(X14,X15)|((~in(X18,X14)|in(X18,X15))|in(X18,X16))))&(((~in(skolem0005(X19,X20,X21),X21)|(~in(skolem0005(X19,X20,X21),X19)|in(skolem0005(X19,X20,X21),X20)))|X21=set_difference(X19,X20))&(((in(skolem0005(X19,X20,X21),X21)|in(skolem0005(X19,X20,X21),X19))|X21=set_difference(X19,X20))&((in(skolem0005(X19,X20,X21),X21)|~in(skolem0005(X19,X20,X21),X20))|X21=set_difference(X19,X20))))))))))))),inference(distribute,status(thm),[c40])).
% 1.26/1.43 cnf(c42,axiom,X74!=set_difference(X76,X75)|~in(X73,X74)|in(X73,X76),inference(split_conjunct,status(thm),[c41])).
% 1.26/1.43 cnf(c104,plain,~in(X146,set_difference(X144,X145))|in(X146,X144),inference(resolution,status(thm),[c42, reflexivity])).
% 1.26/1.43 cnf(c238,plain,in(skolem0006(set_difference(X814,X813),X812),X814)|subset(set_difference(X814,X813),X812),inference(resolution,status(thm),[c104, c55])).
% 1.26/1.43 cnf(c3437,plain,subset(set_difference(X815,X816),X815),inference(resolution,status(thm),[c238, c56])).
% 1.26/1.43 cnf(c3443,plain,$false,inference(resolution,status(thm),[c3437, c21])).
% 1.26/1.43 # SZS output end CNFRefutation
% 1.26/1.43
% 1.26/1.43 # Initial clauses : 29
% 1.26/1.43 # Processed clauses : 228
% 1.26/1.43 # Factors computed : 13
% 1.26/1.43 # Resolvents computed: 3374
% 1.26/1.43 # Tautologies deleted: 10
% 1.26/1.43 # Forward subsumed : 387
% 1.26/1.43 # Backward subsumed : 37
% 1.26/1.43 # -------- CPU Time ---------
% 1.26/1.43 # User time : 1.074 s
% 1.26/1.43 # System time : 0.017 s
% 1.26/1.43 # Total time : 1.091 s
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