%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : SEU157+1 : TPTP v8.1.0. Released v3.3.0. % 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 : n025.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 09:24:17 EDT 2022 % Result : Theorem 0.18s 0.40s % Output : CNFRefutation 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SEU157+1 : TPTP v8.1.0. Released v3.3.0. % 0.06/0.13 % Command : etableau --auto --tsmdo --quicksat=10000 --tableau=1 --tableau-saturation=1 -s -p --tableau-cores=8 --cpu-limit=%d %s % 0.13/0.34 % Computer : n025.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 : Sun Jun 19 11:33:14 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.37 # No SInE strategy applied % 0.13/0.37 # Auto-Mode selected heuristic G_E___208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AN % 0.13/0.37 # and selection function SelectComplexExceptUniqMaxHorn. % 0.13/0.37 # % 0.13/0.37 # Presaturation interreduction done % 0.13/0.37 # Number of axioms: 18 Number of unprocessed: 18 % 0.13/0.37 # Tableaux proof search. % 0.13/0.37 # APR header successfully linked. % 0.13/0.37 # Hello from C++ % 0.13/0.37 # The folding up rule is enabled... % 0.13/0.37 # Local unification is enabled... % 0.13/0.37 # Any saturation attempts will use folding labels... % 0.13/0.37 # 18 beginning clauses after preprocessing and clausification % 0.13/0.37 # Creating start rules for all 3 conjectures. % 0.13/0.37 # There are 3 start rule candidates: % 0.13/0.37 # Found 4 unit axioms. % 0.13/0.37 # Unsuccessfully attempted saturation on 1 start tableaux, moving on. % 0.13/0.37 # 3 start rule tableaux created. % 0.13/0.37 # 14 extension rule candidate clauses % 0.13/0.37 # 4 unit axiom clauses % 0.13/0.37 % 0.13/0.37 # Requested 8, 32 cores available to the main process. % 0.13/0.37 # There are not enough tableaux to fork, creating more from the initial 3 % 0.13/0.37 # Returning from population with 11 new_tableaux and 0 remaining starting tableaux. % 0.13/0.37 # We now have 11 tableaux to operate on % 0.18/0.39 # Creating equality axioms % 0.18/0.39 # Ran out of tableaux, making start rules for all clauses % 0.18/0.39 # Creating equality axioms % 0.18/0.39 # Ran out of tableaux, making start rules for all clauses % 0.18/0.39 # Creating equality axioms % 0.18/0.39 # Ran out of tableaux, making start rules for all clauses % 0.18/0.39 # Creating equality axioms % 0.18/0.39 # Ran out of tableaux, making start rules for all clauses % 0.18/0.40 # There were 1 total branch saturation attempts. % 0.18/0.40 # There were 0 of these attempts blocked. % 0.18/0.40 # There were 0 deferred branch saturation attempts. % 0.18/0.40 # There were 0 free duplicated saturations. % 0.18/0.40 # There were 1 total successful branch saturations. % 0.18/0.40 # There were 0 successful branch saturations in interreduction. % 0.18/0.40 # There were 0 successful branch saturations on the branch. % 0.18/0.40 # There were 1 successful branch saturations after the branch. % 0.18/0.40 # There were 1 total branch saturation attempts. % 0.18/0.40 # There were 0 of these attempts blocked. % 0.18/0.40 # There were 0 deferred branch saturation attempts. % 0.18/0.40 # There were 0 free duplicated saturations. % 0.18/0.40 # There were 1 total successful branch saturations. % 0.18/0.40 # There were 0 successful branch saturations in interreduction. % 0.18/0.40 # There were 0 successful branch saturations on the branch. % 0.18/0.40 # There were 1 successful branch saturations after the branch. % 0.18/0.40 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.40 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.40 # Begin clausification derivation % 0.18/0.40 % 0.18/0.40 # End clausification derivation % 0.18/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.18/0.40 cnf(i_0_20, plain, (empty(esk10_0))). % 0.18/0.40 cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 0.18/0.40 cnf(i_0_21, plain, (~empty(esk11_0))). % 0.18/0.40 cnf(i_0_16, plain, (~empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))))). % 0.18/0.40 cnf(i_0_19, negated_conjecture, (~in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|~in(esk6_0,esk8_0)|~in(esk7_0,esk9_0))). % 0.18/0.40 cnf(i_0_18, negated_conjecture, (in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|in(esk6_0,esk8_0))). % 0.18/0.40 cnf(i_0_17, negated_conjecture, (in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|in(esk7_0,esk9_0))). % 0.18/0.40 cnf(i_0_22, plain, (X1=X2|unordered_pair(unordered_pair(X3,X1),singleton(X3))!=unordered_pair(unordered_pair(X4,X2),singleton(X4)))). % 0.18/0.40 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.18/0.40 cnf(i_0_23, plain, (X1=X2|unordered_pair(unordered_pair(X1,X3),singleton(X1))!=unordered_pair(unordered_pair(X2,X4),singleton(X2)))). % 0.18/0.40 cnf(i_0_10, plain, (in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_9, plain, (in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_7, plain, (in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))). % 0.18/0.40 cnf(i_0_5, plain, (X1=cartesian_product2(X2,X3)|in(esk4_3(X2,X3,X1),X2)|in(esk3_3(X2,X3,X1),X1))). % 0.18/0.40 cnf(i_0_4, plain, (X1=cartesian_product2(X2,X3)|in(esk5_3(X2,X3,X1),X3)|in(esk3_3(X2,X3,X1),X1))). % 0.18/0.40 cnf(i_0_6, plain, (X1=cartesian_product2(X2,X3)|esk3_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),singleton(X4))|~in(esk3_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))). % 0.18/0.40 cnf(i_0_3, plain, (unordered_pair(singleton(esk4_3(X1,X2,X3)),unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)))=esk3_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk3_3(X1,X2,X3),X3))). % 0.18/0.40 cnf(i_0_8, plain, (unordered_pair(singleton(esk1_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),esk2_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_144, plain, (X42=X42)). % 0.18/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.18/0.40 # Begin printing tableau % 0.18/0.40 # Found 4 steps % 0.18/0.40 cnf(i_0_144, plain, (unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))=unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))), inference(start_rule)). % 0.18/0.40 cnf(i_0_193, plain, (unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))=unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))), inference(extension_rule, [i_0_22])). % 0.18/0.40 cnf(i_0_194, plain, (unordered_pair(unordered_pair(X7,X10),singleton(X7))=unordered_pair(unordered_pair(X7,X10),singleton(X7))), inference(extension_rule, [i_0_23])). % 0.18/0.40 cnf(i_0_198, plain, (X7=X7), inference(etableau_closure_rule, [i_0_198, ...])). % 0.18/0.40 # End printing tableau % 0.18/0.40 # SZS output end % 0.18/0.40 # Branches closed with saturation will be marked with an "s" % 0.18/0.40 # There were 1 total branch saturation attempts. % 0.18/0.40 # There were 0 of these attempts blocked. % 0.18/0.40 # There were 0 deferred branch saturation attempts. % 0.18/0.40 # There were 0 free duplicated saturations. % 0.18/0.40 # There were 1 total successful branch saturations. % 0.18/0.40 # There were 0 successful branch saturations in interreduction. % 0.18/0.40 # There were 0 successful branch saturations on the branch. % 0.18/0.40 # There were 1 successful branch saturations after the branch. % 0.18/0.40 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.40 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.40 # Begin clausification derivation % 0.18/0.40 % 0.18/0.40 # End clausification derivation % 0.18/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.18/0.40 cnf(i_0_20, plain, (empty(esk10_0))). % 0.18/0.40 cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 0.18/0.40 cnf(i_0_21, plain, (~empty(esk11_0))). % 0.18/0.40 cnf(i_0_16, plain, (~empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))))). % 0.18/0.40 cnf(i_0_19, negated_conjecture, (~in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|~in(esk6_0,esk8_0)|~in(esk7_0,esk9_0))). % 0.18/0.40 cnf(i_0_18, negated_conjecture, (in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|in(esk6_0,esk8_0))). % 0.18/0.40 cnf(i_0_17, negated_conjecture, (in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|in(esk7_0,esk9_0))). % 0.18/0.40 cnf(i_0_22, plain, (X1=X2|unordered_pair(unordered_pair(X3,X1),singleton(X3))!=unordered_pair(unordered_pair(X4,X2),singleton(X4)))). % 0.18/0.40 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.18/0.40 cnf(i_0_23, plain, (X1=X2|unordered_pair(unordered_pair(X1,X3),singleton(X1))!=unordered_pair(unordered_pair(X2,X4),singleton(X2)))). % 0.18/0.40 cnf(i_0_10, plain, (in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_9, plain, (in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_7, plain, (in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))). % 0.18/0.40 cnf(i_0_5, plain, (X1=cartesian_product2(X2,X3)|in(esk4_3(X2,X3,X1),X2)|in(esk3_3(X2,X3,X1),X1))). % 0.18/0.40 cnf(i_0_4, plain, (X1=cartesian_product2(X2,X3)|in(esk5_3(X2,X3,X1),X3)|in(esk3_3(X2,X3,X1),X1))). % 0.18/0.40 cnf(i_0_6, plain, (X1=cartesian_product2(X2,X3)|esk3_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),singleton(X4))|~in(esk3_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))). % 0.18/0.40 cnf(i_0_3, plain, (unordered_pair(singleton(esk4_3(X1,X2,X3)),unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)))=esk3_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk3_3(X1,X2,X3),X3))). % 0.18/0.40 cnf(i_0_8, plain, (unordered_pair(singleton(esk1_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),esk2_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_144, plain, (X42=X42)). % 0.18/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.18/0.40 # Begin printing tableau % 0.18/0.40 # Found 4 steps % 0.18/0.40 cnf(i_0_144, plain, (unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))=unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))), inference(start_rule)). % 0.18/0.40 cnf(i_0_193, plain, (unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))=unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))), inference(extension_rule, [i_0_22])). % 0.18/0.40 cnf(i_0_194, plain, (unordered_pair(unordered_pair(X7,X10),singleton(X7))=unordered_pair(unordered_pair(X7,X10),singleton(X7))), inference(extension_rule, [i_0_23])). % 0.18/0.40 cnf(i_0_198, plain, (X7=X7), inference(etableau_closure_rule, [i_0_198, ...])). % 0.18/0.40 # End printing tableau % 0.18/0.40 # SZS output end % 0.18/0.40 # Branches closed with saturation will be marked with an "s" % 0.18/0.40 # There were 1 total branch saturation attempts. % 0.18/0.40 # There were 0 of these attempts blocked. % 0.18/0.40 # There were 0 deferred branch saturation attempts. % 0.18/0.40 # There were 0 free duplicated saturations. % 0.18/0.40 # There were 1 total successful branch saturations. % 0.18/0.40 # There were 0 successful branch saturations in interreduction. % 0.18/0.40 # There were 0 successful branch saturations on the branch. % 0.18/0.40 # There were 1 successful branch saturations after the branch. % 0.18/0.40 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.40 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.40 # Begin clausification derivation % 0.18/0.40 % 0.18/0.40 # End clausification derivation % 0.18/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.18/0.40 cnf(i_0_20, plain, (empty(esk10_0))). % 0.18/0.40 cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 0.18/0.40 cnf(i_0_21, plain, (~empty(esk11_0))). % 0.18/0.40 cnf(i_0_16, plain, (~empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))))). % 0.18/0.40 cnf(i_0_19, negated_conjecture, (~in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|~in(esk6_0,esk8_0)|~in(esk7_0,esk9_0))). % 0.18/0.40 cnf(i_0_18, negated_conjecture, (in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|in(esk6_0,esk8_0))). % 0.18/0.40 cnf(i_0_17, negated_conjecture, (in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|in(esk7_0,esk9_0))). % 0.18/0.40 cnf(i_0_22, plain, (X1=X2|unordered_pair(unordered_pair(X3,X1),singleton(X3))!=unordered_pair(unordered_pair(X4,X2),singleton(X4)))). % 0.18/0.40 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.18/0.40 cnf(i_0_23, plain, (X1=X2|unordered_pair(unordered_pair(X1,X3),singleton(X1))!=unordered_pair(unordered_pair(X2,X4),singleton(X2)))). % 0.18/0.40 cnf(i_0_10, plain, (in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_9, plain, (in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_7, plain, (in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))). % 0.18/0.40 cnf(i_0_5, plain, (X1=cartesian_product2(X2,X3)|in(esk4_3(X2,X3,X1),X2)|in(esk3_3(X2,X3,X1),X1))). % 0.18/0.40 cnf(i_0_4, plain, (X1=cartesian_product2(X2,X3)|in(esk5_3(X2,X3,X1),X3)|in(esk3_3(X2,X3,X1),X1))). % 0.18/0.40 cnf(i_0_6, plain, (X1=cartesian_product2(X2,X3)|esk3_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),singleton(X4))|~in(esk3_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))). % 0.18/0.40 cnf(i_0_3, plain, (unordered_pair(singleton(esk4_3(X1,X2,X3)),unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)))=esk3_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk3_3(X1,X2,X3),X3))). % 0.18/0.40 cnf(i_0_8, plain, (unordered_pair(singleton(esk1_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),esk2_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_108, plain, (X42=X42)). % 0.18/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.18/0.40 # Begin printing tableau % 0.18/0.40 # Found 4 steps % 0.18/0.40 cnf(i_0_108, plain, (unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))=unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))), inference(start_rule)). % 0.18/0.40 cnf(i_0_157, plain, (unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))=unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))), inference(extension_rule, [i_0_22])). % 0.18/0.40 cnf(i_0_158, plain, (unordered_pair(unordered_pair(X7,X10),singleton(X7))=unordered_pair(unordered_pair(X7,X10),singleton(X7))), inference(extension_rule, [i_0_23])). % 0.18/0.40 cnf(i_0_162, plain, (X7=X7), inference(etableau_closure_rule, [i_0_162, ...])). % 0.18/0.40 # End printing tableau % 0.18/0.40 # SZS output end % 0.18/0.40 # Branches closed with saturation will be marked with an "s" % 0.18/0.40 # SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.40 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 0.18/0.40 # Begin clausification derivation % 0.18/0.40 % 0.18/0.40 # End clausification derivation % 0.18/0.40 # Begin listing active clauses obtained from FOF to CNF conversion % 0.18/0.40 cnf(i_0_20, plain, (empty(esk10_0))). % 0.18/0.40 cnf(i_0_2, plain, (unordered_pair(X1,X2)=unordered_pair(X2,X1))). % 0.18/0.40 cnf(i_0_21, plain, (~empty(esk11_0))). % 0.18/0.40 cnf(i_0_16, plain, (~empty(unordered_pair(unordered_pair(X1,X2),singleton(X1))))). % 0.18/0.40 cnf(i_0_19, negated_conjecture, (~in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|~in(esk6_0,esk8_0)|~in(esk7_0,esk9_0))). % 0.18/0.40 cnf(i_0_18, negated_conjecture, (in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|in(esk6_0,esk8_0))). % 0.18/0.40 cnf(i_0_17, negated_conjecture, (in(unordered_pair(unordered_pair(esk6_0,esk7_0),singleton(esk6_0)),cartesian_product2(esk8_0,esk9_0))|in(esk7_0,esk9_0))). % 0.18/0.40 cnf(i_0_22, plain, (X1=X2|unordered_pair(unordered_pair(X3,X1),singleton(X3))!=unordered_pair(unordered_pair(X4,X2),singleton(X4)))). % 0.18/0.40 cnf(i_0_1, plain, (~in(X1,X2)|~in(X2,X1))). % 0.18/0.40 cnf(i_0_23, plain, (X1=X2|unordered_pair(unordered_pair(X1,X3),singleton(X1))!=unordered_pair(unordered_pair(X2,X4),singleton(X2)))). % 0.18/0.40 cnf(i_0_10, plain, (in(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),X1)|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_9, plain, (in(esk2_4(X1,X2,cartesian_product2(X1,X2),X3),X2)|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_7, plain, (in(unordered_pair(unordered_pair(X1,X2),singleton(X1)),cartesian_product2(X3,X4))|~in(X2,X4)|~in(X1,X3))). % 0.18/0.40 cnf(i_0_5, plain, (X1=cartesian_product2(X2,X3)|in(esk4_3(X2,X3,X1),X2)|in(esk3_3(X2,X3,X1),X1))). % 0.18/0.40 cnf(i_0_4, plain, (X1=cartesian_product2(X2,X3)|in(esk5_3(X2,X3,X1),X3)|in(esk3_3(X2,X3,X1),X1))). % 0.18/0.40 cnf(i_0_6, plain, (X1=cartesian_product2(X2,X3)|esk3_3(X2,X3,X1)!=unordered_pair(unordered_pair(X4,X5),singleton(X4))|~in(esk3_3(X2,X3,X1),X1)|~in(X5,X3)|~in(X4,X2))). % 0.18/0.40 cnf(i_0_3, plain, (unordered_pair(singleton(esk4_3(X1,X2,X3)),unordered_pair(esk4_3(X1,X2,X3),esk5_3(X1,X2,X3)))=esk3_3(X1,X2,X3)|X3=cartesian_product2(X1,X2)|in(esk3_3(X1,X2,X3),X3))). % 0.18/0.40 cnf(i_0_8, plain, (unordered_pair(singleton(esk1_4(X1,X2,cartesian_product2(X1,X2),X3)),unordered_pair(esk1_4(X1,X2,cartesian_product2(X1,X2),X3),esk2_4(X1,X2,cartesian_product2(X1,X2),X3)))=X3|~in(X3,cartesian_product2(X1,X2)))). % 0.18/0.40 cnf(i_0_108, plain, (X42=X42)). % 0.18/0.40 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 0.18/0.40 # Begin printing tableau % 0.18/0.40 # Found 4 steps % 0.18/0.40 cnf(i_0_108, plain, (unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))=unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))), inference(start_rule)). % 0.18/0.40 cnf(i_0_157, plain, (unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))=unordered_pair(unordered_pair(X8,unordered_pair(unordered_pair(X7,X10),singleton(X7))),singleton(X8))), inference(extension_rule, [i_0_22])). % 0.18/0.40 cnf(i_0_158, plain, (unordered_pair(unordered_pair(X7,X10),singleton(X7))=unordered_pair(unordered_pair(X7,X10),singleton(X7))), inference(extension_rule, [i_0_23])). % 0.18/0.40 cnf(i_0_162, plain, (X7=X7), inference(etableau_closure_rule, [i_0_162, ...])). % 0.18/0.40 # End printing tableau % 0.18/0.40 # SZS output end % 0.18/0.40 # Branches closed with saturation will be marked with an "s" % 0.18/0.40 # Child (17677) has found a proof. % 0.18/0.40 % 0.18/0.40 # Proof search is over... % 0.18/0.40 # Freeing feature tree %------------------------------------------------------------------------------