%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : NUM473+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % Computer : n007.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 : Mon Jul 18 09:41:23 EDT 2022 % Result : Theorem 4.52s 0.97s % Output : CNFRefutation 4.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : NUM473+2 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.33 % Computer : n007.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Wed Jul 6 22:25:43 EDT 2022 % 0.13/0.33 % CPUTime : % 0.20/0.37 # No SInE strategy applied % 0.20/0.37 # Auto-Mode selected heuristic U_____100_C07_23_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.20/0.37 # and selection function SelectComplexExceptUniqMaxHorn. % 0.20/0.37 # % 0.20/0.37 # Presaturation interreduction done % 0.20/0.37 # Number of axioms: 75 Number of unprocessed: 70 % 0.20/0.37 # Tableaux proof search. % 0.20/0.37 # APR header successfully linked. % 0.20/0.37 # Hello from C++ % 0.20/0.37 # The folding up rule is enabled... % 0.20/0.37 # Local unification is enabled... % 0.20/0.37 # Any saturation attempts will use folding labels... % 0.20/0.37 # 70 beginning clauses after preprocessing and clausification % 0.20/0.37 # Creating start rules for all 2 conjectures. % 0.20/0.37 # There are 2 start rule candidates: % 0.20/0.37 # Found 23 unit axioms. % 0.20/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.20/0.37 # 2 start rule tableaux created. % 0.20/0.37 # 47 extension rule candidate clauses % 0.20/0.37 # 23 unit axiom clauses % 0.20/0.37 % 0.20/0.37 # Requested 8, 32 cores available to the main process. % 0.20/0.37 # There are not enough tableaux to fork, creating more from the initial 2 % 0.20/0.37 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux. % 0.20/0.37 # We now have 11 tableaux to operate on % 4.52/0.97 # There were 5 total branch saturation attempts. % 4.52/0.97 # There were 0 of these attempts blocked. % 4.52/0.97 # There were 0 deferred branch saturation attempts. % 4.52/0.97 # There were 0 free duplicated saturations. % 4.52/0.97 # There were 5 total successful branch saturations. % 4.52/0.97 # There were 0 successful branch saturations in interreduction. % 4.52/0.97 # There were 0 successful branch saturations on the branch. % 4.52/0.97 # There were 5 successful branch saturations after the branch. % 4.52/0.97 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.52/0.97 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 4.52/0.97 # Begin clausification derivation % 4.52/0.97 % 4.52/0.97 # End clausification derivation % 4.52/0.97 # Begin listing active clauses obtained from FOF to CNF conversion % 4.52/0.97 cnf(i_0_2, plain, (aNaturalNumber0(sz00))). % 4.52/0.97 cnf(i_0_4, plain, (aNaturalNumber0(sz10))). % 4.52/0.97 cnf(i_0_60, hypothesis, (aNaturalNumber0(xl))). % 4.52/0.97 cnf(i_0_59, hypothesis, (aNaturalNumber0(xm))). % 4.52/0.97 cnf(i_0_58, hypothesis, (aNaturalNumber0(xn))). % 4.52/0.97 cnf(i_0_70, hypothesis, (aNaturalNumber0(xp))). % 4.52/0.97 cnf(i_0_73, hypothesis, (aNaturalNumber0(xq))). % 4.52/0.97 cnf(i_0_66, hypothesis, (aNaturalNumber0(esk3_0))). % 4.52/0.97 cnf(i_0_63, hypothesis, (aNaturalNumber0(esk4_0))). % 4.52/0.97 cnf(i_0_76, hypothesis, (aNaturalNumber0(esk5_0))). % 4.52/0.97 cnf(i_0_64, hypothesis, (doDivides0(xl,xm))). % 4.52/0.97 cnf(i_0_69, hypothesis, (sdtasdt0(xl,xp)=xm)). % 4.52/0.97 cnf(i_0_65, hypothesis, (sdtasdt0(xl,esk3_0)=xm)). % 4.52/0.97 cnf(i_0_68, hypothesis, (sdtsldt0(xm,xl)=xp)). % 4.52/0.97 cnf(i_0_74, hypothesis, (sdtlseqdt0(xm,sdtpldt0(xm,xn)))). % 4.52/0.97 cnf(i_0_61, hypothesis, (doDivides0(xl,sdtpldt0(xm,xn)))). % 4.52/0.97 cnf(i_0_75, hypothesis, (sdtpldt0(xm,esk5_0)=sdtpldt0(xm,xn))). % 4.52/0.97 cnf(i_0_72, hypothesis, (sdtasdt0(xl,xq)=sdtpldt0(xm,xn))). % 4.52/0.97 cnf(i_0_62, hypothesis, (sdtasdt0(xl,esk4_0)=sdtpldt0(xm,xn))). % 4.52/0.97 cnf(i_0_71, hypothesis, (sdtsldt0(sdtpldt0(xm,xn),xl)=xq)). % 4.52/0.97 cnf(i_0_3, plain, (sz10!=sz00)). % 4.52/0.97 cnf(i_0_67, hypothesis, (xl!=sz00)). % 4.52/0.97 cnf(i_0_77, negated_conjecture, (~sdtlseqdt0(xp,xq))). % 4.52/0.97 cnf(i_0_78, negated_conjecture, (sdtpldt0(xp,X1)!=xq|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_32, plain, (sdtlseqdt0(X1,X1)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_23, plain, (X1=sz00|sdtpldt0(X2,X1)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_24, plain, (X1=sz00|sdtpldt0(X1,X2)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_15, plain, (sdtasdt0(sz00,X1)=sz00|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_16, plain, (sdtasdt0(X1,sz00)=sz00|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_9, plain, (sdtpldt0(sz00,X1)=X1|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_13, plain, (sdtasdt0(sz10,X1)=X1|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_10, plain, (sdtpldt0(X1,sz00)=X1|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_14, plain, (sdtasdt0(X1,sz10)=X1|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_33, plain, (X1=X2|~sdtlseqdt0(X2,X1)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_5, plain, (aNaturalNumber0(sdtpldt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_6, plain, (aNaturalNumber0(sdtasdt0(X1,X2))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_49, plain, (X1=X2|iLess0(X1,X2)|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_20, plain, (X1=X2|sdtpldt0(X3,X1)!=sdtpldt0(X3,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3))). % 4.52/0.97 cnf(i_0_19, plain, (X1=X2|sdtpldt0(X1,X3)!=sdtpldt0(X2,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_25, plain, (X1=sz00|X2=sz00|sdtasdt0(X1,X2)!=sz00|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_28, plain, (aNaturalNumber0(esk1_2(X1,X2))|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_52, plain, (aNaturalNumber0(esk2_2(X1,X2))|~doDivides0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_7, plain, (sdtpldt0(X1,X2)=sdtpldt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_11, plain, (sdtasdt0(X1,X2)=sdtasdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_35, plain, (sdtlseqdt0(X1,X2)|sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_45, plain, (X1=sz10|X1=sz00|sdtlseqdt0(sz10,X1)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_47, plain, (X1=sz00|sdtlseqdt0(X2,sdtasdt0(X2,X1))|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_31, plain, (aNaturalNumber0(sdtmndt0(X1,X2))|~sdtlseqdt0(X2,X1)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_51, plain, (sdtasdt0(X1,esk2_2(X1,X2))=X2|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))). % 4.52/0.97 cnf(i_0_27, plain, (sdtpldt0(X1,esk1_2(X1,X2))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_8, plain, (sdtpldt0(sdtpldt0(X1,X2),X3)=sdtpldt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_12, plain, (sdtasdt0(sdtasdt0(X1,X2),X3)=sdtasdt0(X1,sdtasdt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_18, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))=sdtasdt0(X1,sdtpldt0(X2,X3))|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_17, plain, (sdtpldt0(sdtasdt0(X1,X2),sdtasdt0(X3,X2))=sdtasdt0(sdtpldt0(X1,X3),X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_57, plain, (doDivides0(X1,sdtpldt0(X2,X3))|~doDivides0(X1,X3)|~doDivides0(X1,X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_39, plain, (X1=X2|sdtlseqdt0(sdtpldt0(X3,X1),sdtpldt0(X3,X2))|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X3))). % 4.52/0.97 cnf(i_0_37, plain, (X1=X2|sdtlseqdt0(sdtpldt0(X1,X3),sdtpldt0(X2,X3))|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_50, plain, (doDivides0(X1,sdtasdt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))). % 4.52/0.97 cnf(i_0_26, plain, (sdtlseqdt0(X1,sdtpldt0(X1,X2))|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))). % 4.52/0.97 cnf(i_0_22, plain, (X1=sz00|X2=X3|sdtasdt0(X1,X2)!=sdtasdt0(X1,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_21, plain, (X1=sz00|X2=X3|sdtasdt0(X2,X1)!=sdtasdt0(X3,X1)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))). % 4.52/0.97 cnf(i_0_34, plain, (sdtlseqdt0(X1,X2)|~sdtlseqdt0(X3,X2)|~sdtlseqdt0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_56, plain, (doDivides0(X1,X2)|~doDivides0(X3,X2)|~doDivides0(X1,X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_55, plain, (X1=sz00|aNaturalNumber0(sdtsldt0(X2,X1))|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))). % 4.52/0.97 cnf(i_0_30, plain, (sdtpldt0(X1,sdtmndt0(X2,X1))=X2|~sdtlseqdt0(X1,X2)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_54, plain, (sdtasdt0(X1,sdtsldt0(X2,X1))=X2|X1=sz00|~doDivides0(X1,X2)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))). % 4.52/0.97 cnf(i_0_43, plain, (X1=sz00|X2=X3|sdtlseqdt0(sdtasdt0(X1,X2),sdtasdt0(X1,X3))|~sdtlseqdt0(X2,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X2)|~aNaturalNumber0(X1))). % 4.52/0.97 cnf(i_0_41, plain, (X1=sz00|X2=X3|sdtlseqdt0(sdtasdt0(X2,X1),sdtasdt0(X3,X1))|~sdtlseqdt0(X2,X3)|~aNaturalNumber0(X3)|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))). % 4.52/0.97 cnf(i_0_29, plain, (sdtmndt0(sdtpldt0(X1,X2),X1)=X2|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))). % 4.52/0.97 cnf(i_0_53, plain, (sdtsldt0(sdtasdt0(X1,X2),X1)=X2|X1=sz00|~aNaturalNumber0(X1)|~aNaturalNumber0(X2))). % 4.52/0.97 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 4.52/0.97 # Begin printing tableau % 4.52/0.97 # Found 12 steps % 4.52/0.97 cnf(i_0_78, negated_conjecture, (sdtpldt0(xp,sz00)!=xq|~aNaturalNumber0(sz00)), inference(start_rule)). % 4.52/0.97 cnf(i_0_89, plain, (~aNaturalNumber0(sz00)), inference(closure_rule, [i_0_2])). % 4.52/0.97 cnf(i_0_88, plain, (sdtpldt0(xp,sz00)!=xq), inference(extension_rule, [i_0_21])). % 4.52/0.97 cnf(i_0_228, plain, (sz10=sz00), inference(closure_rule, [i_0_3])). % 4.52/0.97 cnf(i_0_231, plain, (~aNaturalNumber0(xq)), inference(closure_rule, [i_0_73])). % 4.52/0.97 cnf(i_0_232, plain, (~aNaturalNumber0(sz10)), inference(closure_rule, [i_0_4])). % 4.52/0.97 cnf(i_0_230, plain, (sdtasdt0(sdtpldt0(xp,sz00),sz10)!=sdtasdt0(xq,sz10)), inference(extension_rule, [i_0_33])). % 4.52/0.97 cnf(i_0_233, plain, (~aNaturalNumber0(sdtpldt0(xp,sz00))), inference(etableau_closure_rule, [i_0_233, ...])). % 4.52/0.97 cnf(i_0_306, plain, (~sdtlseqdt0(sdtasdt0(xq,sz10),sdtasdt0(sdtpldt0(xp,sz00),sz10))), inference(etableau_closure_rule, [i_0_306, ...])). % 4.52/0.97 cnf(i_0_307, plain, (~sdtlseqdt0(sdtasdt0(sdtpldt0(xp,sz00),sz10),sdtasdt0(xq,sz10))), inference(etableau_closure_rule, [i_0_307, ...])). % 4.52/0.97 cnf(i_0_308, plain, (~aNaturalNumber0(sdtasdt0(xq,sz10))), inference(etableau_closure_rule, [i_0_308, ...])). % 4.52/0.97 cnf(i_0_309, plain, (~aNaturalNumber0(sdtasdt0(sdtpldt0(xp,sz00),sz10))), inference(etableau_closure_rule, [i_0_309, ...])). % 4.52/0.97 # End printing tableau % 4.52/0.97 # SZS output end % 4.52/0.97 # Branches closed with saturation will be marked with an "s" % 4.86/0.97 # Child (29885) has found a proof. % 4.86/0.97 % 4.86/0.97 # Proof search is over... % 4.86/0.97 # Freeing feature tree %------------------------------------------------------------------------------