0.08/0.14 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.15/0.37 % Computer : n021.cluster.edu 0.15/0.37 % Model : x86_64 x86_64 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.37 % Memory : 8042.1875MB 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.37 % CPULimit : 960 0.15/0.37 % WCLimit : 120 0.15/0.37 % DateTime : Tue Aug 9 05:43:50 EDT 2022 0.15/0.37 % CPUTime : 0.23/0.49 openjdk version "1.8.0_171" 0.23/0.49 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.23/0.49 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.23/0.49 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.64/0.72 start to proof: theBenchmark 0.70/0.95 % Version : CSE_E---1.4 0.70/0.95 % Problem : theBenchmark.p 0.70/0.95 % Proof found 0.70/0.95 % SZS status Theorem for theBenchmark.p 0.70/0.95 % SZS output start Proof 0.70/0.95 fof(d3_tarski, axiom, ![X1, X2]:(subset(X1,X2)<=>![X3]:(in(X3,X2)<=in(X3,X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_tarski)). 0.70/0.95 fof(d1_zfmisc_1, axiom, ![X1, X2]:(X2=powerset(X1)<=>![X3]:(in(X3,X2)<=>subset(X3,X1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d1_zfmisc_1)). 0.70/0.95 fof(d2_xboole_0, axiom, ![X1, X2, X3]:(![X4]:(in(X4,X3)<=>(in(X4,X1)|in(X4,X2)))<=>X3=set_union2(X1,X2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d2_xboole_0)). 0.70/0.95 fof(t86_zfmisc_1, conjecture, ![X1, X2]:subset(set_union2(powerset(set_difference(X1,X2)),powerset(set_difference(X2,X1))),powerset(symmetric_difference(X1,X2))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t86_zfmisc_1)). 0.70/0.95 fof(d6_xboole_0, axiom, ![X1, X2]:symmetric_difference(X1,X2)=set_union2(set_difference(X1,X2),set_difference(X2,X1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d6_xboole_0)). 0.70/0.95 fof(commutativity_k2_xboole_0, axiom, ![X1, X2]:set_union2(X1,X2)=set_union2(X2,X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', commutativity_k2_xboole_0)). 0.70/0.95 fof(c_0_6, plain, ![X1, X2]:(subset(X1,X2)<=>![X3]:(in(X3,X1)=>in(X3,X2))), inference(fof_simplification,[status(thm)],[d3_tarski])). 0.70/0.95 fof(c_0_7, plain, ![X63, X64, X65, X66, X67, X68]:(((~in(X65,X64)|subset(X65,X63)|X64!=powerset(X63))&(~subset(X66,X63)|in(X66,X64)|X64!=powerset(X63)))&((~in(esk7_2(X67,X68),X68)|~subset(esk7_2(X67,X68),X67)|X68=powerset(X67))&(in(esk7_2(X67,X68),X68)|subset(esk7_2(X67,X68),X67)|X68=powerset(X67)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_zfmisc_1])])])])])])). 0.70/0.95 fof(c_0_8, plain, ![X51, X52, X53, X54, X55]:((~subset(X51,X52)|(~in(X53,X51)|in(X53,X52)))&((in(esk4_2(X54,X55),X54)|subset(X54,X55))&(~in(esk4_2(X54,X55),X55)|subset(X54,X55)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])])])). 0.70/0.95 cnf(c_0_9, plain, (subset(X1,X3)|~in(X1,X2)|X2!=powerset(X3)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.70/0.95 cnf(c_0_10, plain, (in(X1,X3)|~subset(X1,X2)|X3!=powerset(X2)), inference(split_conjunct,[status(thm)],[c_0_7])). 0.70/0.95 fof(c_0_11, plain, ![X35, X36, X37, X39, X40, X41, X42, X43]:((((~in(esk1_3(X35,X36,X37),X35)|~in(esk1_3(X35,X36,X37),X37)|X37=set_union2(X35,X36))&(~in(esk1_3(X35,X36,X37),X36)|~in(esk1_3(X35,X36,X37),X37)|X37=set_union2(X35,X36)))&(in(esk1_3(X35,X36,X37),X37)|(in(esk1_3(X35,X36,X37),X35)|in(esk1_3(X35,X36,X37),X36))|X37=set_union2(X35,X36)))&((~in(X42,X41)|(in(X42,X39)|in(X42,X40))|X41!=set_union2(X39,X40))&((~in(X43,X39)|in(X43,X41)|X41!=set_union2(X39,X40))&(~in(X43,X40)|in(X43,X41)|X41!=set_union2(X39,X40))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_xboole_0])])])])])])). 0.70/0.95 cnf(c_0_12, plain, (in(X3,X2)|~subset(X1,X2)|~in(X3,X1)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.70/0.95 cnf(c_0_13, plain, (subset(X1,X2)|~in(X1,powerset(X2))), inference(er,[status(thm)],[c_0_9])). 0.70/0.95 cnf(c_0_14, plain, (in(X1,powerset(X2))|~subset(X1,X2)), inference(er,[status(thm)],[c_0_10])). 0.70/0.95 cnf(c_0_15, plain, (in(esk4_2(X1,X2),X1)|subset(X1,X2)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.70/0.95 cnf(c_0_16, plain, (subset(X1,X2)|~in(esk4_2(X1,X2),X2)), inference(split_conjunct,[status(thm)],[c_0_8])). 0.70/0.95 cnf(c_0_17, plain, (in(X1,X3)|~in(X1,X2)|X3!=set_union2(X4,X2)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.70/0.95 cnf(c_0_18, plain, (in(X1,X2)|~in(X3,powerset(X2))|~in(X1,X3)), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.70/0.95 cnf(c_0_19, plain, (in(esk4_2(X1,X2),X1)|in(X1,powerset(X2))), inference(spm,[status(thm)],[c_0_14, c_0_15])). 0.70/0.95 fof(c_0_20, negated_conjecture, ~(![X1, X2]:subset(set_union2(powerset(set_difference(X1,X2)),powerset(set_difference(X2,X1))),powerset(symmetric_difference(X1,X2)))), inference(assume_negation,[status(cth)],[t86_zfmisc_1])). 0.70/0.95 cnf(c_0_21, plain, (in(X1,powerset(X2))|~in(esk4_2(X1,X2),X2)), inference(spm,[status(thm)],[c_0_14, c_0_16])). 0.70/0.95 cnf(c_0_22, plain, (in(X1,set_union2(X2,X3))|~in(X1,X3)), inference(er,[status(thm)],[c_0_17])). 0.70/0.95 cnf(c_0_23, plain, (in(powerset(X1),powerset(X2))|in(X3,X1)|~in(X3,esk4_2(powerset(X1),X2))), inference(spm,[status(thm)],[c_0_18, c_0_19])). 0.70/0.95 fof(c_0_24, negated_conjecture, ~subset(set_union2(powerset(set_difference(esk5_0,esk6_0)),powerset(set_difference(esk6_0,esk5_0))),powerset(symmetric_difference(esk5_0,esk6_0))), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])])). 0.70/0.95 fof(c_0_25, plain, ![X49, X50]:symmetric_difference(X49,X50)=set_union2(set_difference(X49,X50),set_difference(X50,X49)), inference(variable_rename,[status(thm)],[d6_xboole_0])). 0.70/0.95 cnf(c_0_26, plain, (in(X1,powerset(set_union2(X2,X3)))|~in(esk4_2(X1,set_union2(X2,X3)),X3)), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.70/0.95 cnf(c_0_27, plain, (in(esk4_2(esk4_2(powerset(X1),X2),X3),X1)|in(esk4_2(powerset(X1),X2),powerset(X3))|in(powerset(X1),powerset(X2))), inference(spm,[status(thm)],[c_0_23, c_0_19])). 0.70/0.95 cnf(c_0_28, negated_conjecture, (~subset(set_union2(powerset(set_difference(esk5_0,esk6_0)),powerset(set_difference(esk6_0,esk5_0))),powerset(symmetric_difference(esk5_0,esk6_0)))), inference(split_conjunct,[status(thm)],[c_0_24])). 0.70/0.95 cnf(c_0_29, plain, (symmetric_difference(X1,X2)=set_union2(set_difference(X1,X2),set_difference(X2,X1))), inference(split_conjunct,[status(thm)],[c_0_25])). 0.70/0.95 cnf(c_0_30, plain, (in(esk4_2(powerset(X1),X2),powerset(set_union2(X3,X1)))|in(powerset(X1),powerset(X2))), inference(spm,[status(thm)],[c_0_26, c_0_27])). 0.70/0.95 fof(c_0_31, plain, ![X59, X60]:set_union2(X59,X60)=set_union2(X60,X59), inference(variable_rename,[status(thm)],[commutativity_k2_xboole_0])). 0.70/0.95 cnf(c_0_32, plain, (in(X1,X3)|in(X1,X4)|~in(X1,X2)|X2!=set_union2(X3,X4)), inference(split_conjunct,[status(thm)],[c_0_11])). 0.70/0.95 cnf(c_0_33, negated_conjecture, (~subset(set_union2(powerset(set_difference(esk5_0,esk6_0)),powerset(set_difference(esk6_0,esk5_0))),powerset(set_union2(set_difference(esk5_0,esk6_0),set_difference(esk6_0,esk5_0))))), inference(rw,[status(thm)],[c_0_28, c_0_29])). 0.70/0.95 cnf(c_0_34, plain, (in(powerset(X1),powerset(powerset(set_union2(X2,X1))))), inference(spm,[status(thm)],[c_0_21, c_0_30])). 0.70/0.95 cnf(c_0_35, plain, (set_union2(X1,X2)=set_union2(X2,X1)), inference(split_conjunct,[status(thm)],[c_0_31])). 0.70/0.95 cnf(c_0_36, plain, (in(X1,X2)|in(X1,X3)|~in(X1,set_union2(X3,X2))), inference(er,[status(thm)],[c_0_32])). 0.70/0.95 cnf(c_0_37, negated_conjecture, (in(esk4_2(set_union2(powerset(set_difference(esk5_0,esk6_0)),powerset(set_difference(esk6_0,esk5_0))),powerset(set_union2(set_difference(esk5_0,esk6_0),set_difference(esk6_0,esk5_0)))),set_union2(powerset(set_difference(esk5_0,esk6_0)),powerset(set_difference(esk6_0,esk5_0))))), inference(spm,[status(thm)],[c_0_33, c_0_15])). 0.70/0.95 cnf(c_0_38, negated_conjecture, (~in(esk4_2(set_union2(powerset(set_difference(esk5_0,esk6_0)),powerset(set_difference(esk6_0,esk5_0))),powerset(set_union2(set_difference(esk5_0,esk6_0),set_difference(esk6_0,esk5_0)))),powerset(set_union2(set_difference(esk5_0,esk6_0),set_difference(esk6_0,esk5_0))))), inference(spm,[status(thm)],[c_0_33, c_0_16])). 0.70/0.95 cnf(c_0_39, plain, (in(X1,powerset(set_union2(X2,X3)))|~in(X1,powerset(X3))), inference(spm,[status(thm)],[c_0_18, c_0_34])). 0.70/0.95 cnf(c_0_40, plain, (in(powerset(X1),powerset(powerset(set_union2(X1,X2))))), inference(spm,[status(thm)],[c_0_34, c_0_35])). 0.70/0.96 cnf(c_0_41, negated_conjecture, (in(esk4_2(set_union2(powerset(set_difference(esk5_0,esk6_0)),powerset(set_difference(esk6_0,esk5_0))),powerset(set_union2(set_difference(esk5_0,esk6_0),set_difference(esk6_0,esk5_0)))),powerset(set_difference(esk6_0,esk5_0)))|in(esk4_2(set_union2(powerset(set_difference(esk5_0,esk6_0)),powerset(set_difference(esk6_0,esk5_0))),powerset(set_union2(set_difference(esk5_0,esk6_0),set_difference(esk6_0,esk5_0)))),powerset(set_difference(esk5_0,esk6_0)))), inference(spm,[status(thm)],[c_0_36, c_0_37])). 0.70/0.96 cnf(c_0_42, negated_conjecture, (~in(esk4_2(set_union2(powerset(set_difference(esk5_0,esk6_0)),powerset(set_difference(esk6_0,esk5_0))),powerset(set_union2(set_difference(esk5_0,esk6_0),set_difference(esk6_0,esk5_0)))),powerset(set_difference(esk6_0,esk5_0)))), inference(spm,[status(thm)],[c_0_38, c_0_39])). 0.70/0.96 cnf(c_0_43, plain, (in(X1,powerset(set_union2(X2,X3)))|~in(X1,powerset(X2))), inference(spm,[status(thm)],[c_0_18, c_0_40])). 0.70/0.96 cnf(c_0_44, negated_conjecture, (in(esk4_2(set_union2(powerset(set_difference(esk5_0,esk6_0)),powerset(set_difference(esk6_0,esk5_0))),powerset(set_union2(set_difference(esk5_0,esk6_0),set_difference(esk6_0,esk5_0)))),powerset(set_difference(esk5_0,esk6_0)))), inference(sr,[status(thm)],[c_0_41, c_0_42])). 0.70/0.96 cnf(c_0_45, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_43]), c_0_44])]), ['proof']). 0.70/0.96 % SZS output end Proof 0.70/0.96 % Total time : 0.215000 s 0.70/0.97 EOF