0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s 0.12/0.34 % Computer : n024.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 03:27:37 EDT 2022 0.12/0.34 % CPUTime : 0.20/0.45 openjdk version "1.8.0_171" 0.20/0.45 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.20/0.45 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.20/0.46 file=/export/starexec/sandbox/benchmark/theBenchmark.p 0.52/0.68 start to proof: theBenchmark 0.64/0.72 % Version : CSE_E---1.4 0.64/0.72 % Problem : theBenchmark.p 0.64/0.72 % Proof found 0.64/0.72 % SZS status Theorem for theBenchmark.p 0.64/0.72 % SZS output start Proof 0.64/0.72 fof(church_46_18_5, conjecture, ![X1]:?[X2, X3, X4]:![X5]:((((big_f(X3,X4,X2)|big_f(X4,X2,X3))<=big_f(X1,X1,X5))<=big_f(X2,X3,X4))=>((((big_f(X3,X4,X2)&big_f(X2,X3,X4))<=big_f(X4,X2,X3))<=>big_f(X3,X2,X5))=>(((((big_f(X3,X4,X2)&big_f(X4,X2,X3))&big_f(X2,X3,X4))<=>big_f(X5,X5,X5))<=((big_f(X2,X3,X4)<=(~(big_f(X3,X4,X2))<=big_f(X4,X2,X3)))<=>big_f(X5,X3,X2)))<=((big_f(X3,X4,X2)=>(big_f(X2,X3,X4)&big_f(X4,X2,X3)))<=>big_f(X2,X5,X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', church_46_18_5)). 0.64/0.72 fof(c_0_1, negated_conjecture, ~(![X1]:?[X2, X3, X4]:![X5]:((big_f(X2,X3,X4)=>(big_f(X1,X1,X5)=>(big_f(X3,X4,X2)|big_f(X4,X2,X3))))=>(((big_f(X4,X2,X3)=>(big_f(X3,X4,X2)&big_f(X2,X3,X4)))<=>big_f(X3,X2,X5))=>(((big_f(X3,X4,X2)=>(big_f(X2,X3,X4)&big_f(X4,X2,X3)))<=>big_f(X2,X5,X3))=>((((big_f(X4,X2,X3)=>~big_f(X3,X4,X2))=>big_f(X2,X3,X4))<=>big_f(X5,X3,X2))=>(((big_f(X3,X4,X2)&big_f(X4,X2,X3))&big_f(X2,X3,X4))<=>big_f(X5,X5,X5))))))), inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[church_46_18_5])])). 0.64/0.72 fof(c_0_2, negated_conjecture, ![X12, X13, X14]:((~big_f(X12,X13,X14)|(~big_f(esk1_0,esk1_0,esk2_3(X12,X13,X14))|(big_f(X13,X14,X12)|big_f(X14,X12,X13))))&((((big_f(X14,X12,X13)|big_f(X13,X12,esk2_3(X12,X13,X14)))&(~big_f(X13,X14,X12)|~big_f(X12,X13,X14)|big_f(X13,X12,esk2_3(X12,X13,X14))))&((big_f(X13,X14,X12)|~big_f(X14,X12,X13)|~big_f(X13,X12,esk2_3(X12,X13,X14)))&(big_f(X12,X13,X14)|~big_f(X14,X12,X13)|~big_f(X13,X12,esk2_3(X12,X13,X14)))))&((((big_f(X13,X14,X12)|big_f(X12,esk2_3(X12,X13,X14),X13))&(~big_f(X12,X13,X14)|~big_f(X14,X12,X13)|big_f(X12,esk2_3(X12,X13,X14),X13)))&((big_f(X12,X13,X14)|~big_f(X13,X14,X12)|~big_f(X12,esk2_3(X12,X13,X14),X13))&(big_f(X14,X12,X13)|~big_f(X13,X14,X12)|~big_f(X12,esk2_3(X12,X13,X14),X13))))&((((~big_f(X14,X12,X13)|~big_f(X13,X14,X12)|big_f(esk2_3(X12,X13,X14),X13,X12))&(~big_f(X12,X13,X14)|big_f(esk2_3(X12,X13,X14),X13,X12)))&((big_f(X14,X12,X13)|big_f(X12,X13,X14)|~big_f(esk2_3(X12,X13,X14),X13,X12))&(big_f(X13,X14,X12)|big_f(X12,X13,X14)|~big_f(esk2_3(X12,X13,X14),X13,X12))))&((~big_f(X13,X14,X12)|~big_f(X14,X12,X13)|~big_f(X12,X13,X14)|~big_f(esk2_3(X12,X13,X14),esk2_3(X12,X13,X14),esk2_3(X12,X13,X14)))&(((big_f(X13,X14,X12)|big_f(esk2_3(X12,X13,X14),esk2_3(X12,X13,X14),esk2_3(X12,X13,X14)))&(big_f(X14,X12,X13)|big_f(esk2_3(X12,X13,X14),esk2_3(X12,X13,X14),esk2_3(X12,X13,X14))))&(big_f(X12,X13,X14)|big_f(esk2_3(X12,X13,X14),esk2_3(X12,X13,X14),esk2_3(X12,X13,X14))))))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])). 0.64/0.72 cnf(c_0_3, negated_conjecture, (big_f(X2,X3,X1)|big_f(X3,X1,X2)|~big_f(X1,X2,X3)|~big_f(esk1_0,esk1_0,esk2_3(X1,X2,X3))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.64/0.72 cnf(c_0_4, negated_conjecture, (big_f(X1,X2,X3)|big_f(X3,X2,esk2_3(X2,X3,X1))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.64/0.72 cnf(c_0_5, negated_conjecture, (big_f(X1,X2,X3)|big_f(X2,X3,X1)|~big_f(esk2_3(X2,X3,X1),X3,X2)), inference(split_conjunct,[status(thm)],[c_0_2])). 0.64/0.72 cnf(c_0_6, negated_conjecture, (big_f(esk1_0,X1,esk1_0)|big_f(X1,esk1_0,esk1_0)|~big_f(esk1_0,esk1_0,X1)), inference(spm,[status(thm)],[c_0_3, c_0_4])). 0.64/0.72 cnf(c_0_7, negated_conjecture, (big_f(X1,X2,X3)|~big_f(X3,X1,X2)|~big_f(X2,esk2_3(X2,X3,X1),X3)), inference(split_conjunct,[status(thm)],[c_0_2])). 0.64/0.72 cnf(c_0_8, negated_conjecture, (big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)|big_f(X1,esk1_0,esk1_0)|big_f(esk1_0,esk1_0,X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_6]), c_0_4])). 0.64/0.72 cnf(c_0_9, negated_conjecture, (big_f(X1,X2,X3)|big_f(X3,X1,X2)|~big_f(esk2_3(X3,X1,X2),X1,X3)), inference(split_conjunct,[status(thm)],[c_0_2])). 0.64/0.72 cnf(c_0_10, negated_conjecture, (big_f(esk1_0,esk1_0,X1)|big_f(X1,esk1_0,esk1_0)|~big_f(esk1_0,X1,esk1_0)), inference(spm,[status(thm)],[c_0_7, c_0_8])). 0.64/0.72 cnf(c_0_11, negated_conjecture, (big_f(X1,X2,X3)|big_f(X3,esk2_3(X3,X1,X2),X1)), inference(split_conjunct,[status(thm)],[c_0_2])). 0.64/0.72 cnf(c_0_12, negated_conjecture, (big_f(X1,X2,X3)|~big_f(X3,X1,X2)|~big_f(X2,X1,esk2_3(X1,X2,X3))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.64/0.72 cnf(c_0_13, negated_conjecture, (big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))|big_f(esk1_0,X1,esk1_0)|big_f(esk1_0,esk1_0,X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_10]), c_0_11])). 0.64/0.72 cnf(c_0_14, negated_conjecture, (big_f(esk1_0,X1,esk1_0)|big_f(esk1_0,esk1_0,X1)|~big_f(X1,esk1_0,esk1_0)), inference(spm,[status(thm)],[c_0_12, c_0_13])). 0.64/0.72 cnf(c_0_15, negated_conjecture, (big_f(esk2_3(X2,X3,X1),X3,X2)|~big_f(X1,X2,X3)|~big_f(X3,X1,X2)), inference(split_conjunct,[status(thm)],[c_0_2])). 0.64/0.72 cnf(c_0_16, negated_conjecture, (big_f(X1,X2,X3)|~big_f(X2,X3,X1)|~big_f(X1,esk2_3(X1,X2,X3),X2)), inference(split_conjunct,[status(thm)],[c_0_2])). 0.64/0.72 cnf(c_0_17, negated_conjecture, (big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))|big_f(esk1_0,esk2_3(esk1_0,esk1_0,X1),esk1_0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_14, c_0_15]), c_0_4]), c_0_11])). 0.64/0.72 cnf(c_0_18, negated_conjecture, (big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))|big_f(esk1_0,esk1_0,X1)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_13])). 0.64/0.72 cnf(c_0_19, negated_conjecture, (big_f(esk1_0,esk1_0,X1)|~big_f(X1,esk1_0,esk1_0)), inference(spm,[status(thm)],[c_0_12, c_0_18])). 0.64/0.72 cnf(c_0_20, negated_conjecture, (big_f(esk1_0,esk1_0,X1)|~big_f(esk1_0,X1,esk1_0)), inference(spm,[status(thm)],[c_0_19, c_0_10])). 0.64/0.72 cnf(c_0_21, negated_conjecture, (big_f(X1,X2,X3)|~big_f(X2,X3,X1)|~big_f(X1,X3,esk2_3(X3,X1,X2))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.64/0.72 cnf(c_0_22, negated_conjecture, (big_f(esk1_0,esk1_0,esk2_3(esk1_0,esk1_0,X1))), inference(spm,[status(thm)],[c_0_20, c_0_17])). 0.64/0.72 cnf(c_0_23, negated_conjecture, (big_f(esk1_0,X1,esk1_0)|~big_f(X1,esk1_0,esk1_0)), inference(spm,[status(thm)],[c_0_21, c_0_22])). 0.64/0.72 cnf(c_0_24, negated_conjecture, (big_f(esk1_0,X1,esk1_0)|~big_f(esk1_0,esk1_0,X1)), inference(spm,[status(thm)],[c_0_23, c_0_6])). 0.64/0.72 cnf(c_0_25, negated_conjecture, (big_f(X1,esk1_0,esk1_0)|~big_f(esk1_0,X1,esk1_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7, c_0_24]), c_0_22])])). 0.64/0.72 cnf(c_0_26, negated_conjecture, (big_f(X1,esk1_0,esk1_0)|~big_f(esk1_0,esk1_0,X1)), inference(spm,[status(thm)],[c_0_25, c_0_24])). 0.64/0.72 cnf(c_0_27, negated_conjecture, (big_f(esk1_0,esk1_0,X1)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_26]), c_0_22])]), c_0_20])). 0.64/0.72 cnf(c_0_28, negated_conjecture, (big_f(X1,X2,X3)|big_f(X2,X3,X1)|~big_f(X3,X1,X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_3, c_0_27])])). 0.64/0.72 cnf(c_0_29, negated_conjecture, (big_f(X1,esk2_3(X1,X2,X3),X2)|big_f(X2,X1,esk2_3(X1,X2,X3))), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_15]), c_0_4]), c_0_11])). 0.64/0.72 cnf(c_0_30, negated_conjecture, (big_f(X1,esk2_3(X1,X2,X3),X2)|big_f(X3,X1,X2)|big_f(X1,X2,X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_5, c_0_28]), c_0_4])). 0.64/0.72 cnf(c_0_31, negated_conjecture, (big_f(X1,esk2_3(X1,X2,X3),X2)|big_f(X1,X2,X3)), inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_12, c_0_29]), c_0_30])). 0.64/0.72 cnf(c_0_32, negated_conjecture, (big_f(X1,X2,X3)|~big_f(X2,X3,X1)), inference(spm,[status(thm)],[c_0_16, c_0_31])). 0.64/0.72 cnf(c_0_33, negated_conjecture, (big_f(X1,X2,esk2_3(X2,X1,X3))), inference(spm,[status(thm)],[c_0_32, c_0_29])). 0.64/0.72 cnf(c_0_34, negated_conjecture, (~big_f(X1,X2,X3)|~big_f(X2,X3,X1)|~big_f(X3,X1,X2)|~big_f(esk2_3(X3,X1,X2),esk2_3(X3,X1,X2),esk2_3(X3,X1,X2))), inference(split_conjunct,[status(thm)],[c_0_2])). 0.64/0.72 cnf(c_0_35, negated_conjecture, (big_f(X1,X2,X3)), inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9, c_0_32]), c_0_33])]), c_0_32])). 0.64/0.72 cnf(c_0_36, negated_conjecture, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35]), c_0_35]), c_0_35]), c_0_35])]), ['proof']). 0.64/0.72 % SZS output end Proof 0.64/0.72 % Total time : 0.036000 s 0.64/0.73 EOF