%------------------------------------------------------------------------------ % File : Etableau---0.67 % Problem : GRP184-4 : TPTP v8.1.0. Bugfixed v1.2.1. % 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 : n006.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 : Sat Jul 16 09:05:20 EDT 2022 % Result : Unsatisfiable 18.93s 2.76s % Output : CNFRefutation 18.93s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRP184-4 : TPTP v8.1.0. Bugfixed v1.2.1. % 0.07/0.13 % 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 : n006.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 : Mon Jun 13 10:42:42 EDT 2022 % 0.13/0.34 % CPUTime : % 0.13/0.35 # No SInE strategy applied % 0.13/0.35 # Auto-Mode selected heuristic H_____047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S % 0.13/0.35 # and selection function SelectNewComplexAHP. % 0.13/0.35 # % 0.13/0.35 # Presaturation interreduction done % 0.13/0.35 # Number of axioms: 21 Number of unprocessed: 21 % 0.13/0.35 # Tableaux proof search. % 0.13/0.35 # APR header successfully linked. % 0.13/0.35 # Hello from C++ % 0.13/0.35 # The folding up rule is enabled... % 0.13/0.35 # Local unification is enabled... % 0.13/0.35 # Any saturation attempts will use folding labels... % 0.13/0.35 # 21 beginning clauses after preprocessing and clausification % 0.13/0.35 # Creating start rules for all 1 conjectures. % 0.13/0.35 # There are 1 start rule candidates: % 0.13/0.35 # Found 21 unit axioms. % 0.13/0.35 # 1 start rule tableaux created. % 0.13/0.35 # 0 extension rule candidate clauses % 0.13/0.35 # 21 unit axiom clauses % 0.13/0.35 % 0.13/0.35 # Requested 8, 32 cores available to the main process. % 0.13/0.35 # There are not enough tableaux to fork, creating more from the initial 1 % 0.13/0.35 # Creating equality axioms % 0.13/0.35 # Ran out of tableaux, making start rules for all clauses % 0.13/0.35 # Returning from population with 30 new_tableaux and 0 remaining starting tableaux. % 0.13/0.35 # We now have 30 tableaux to operate on % 18.93/2.76 # There were 1 total branch saturation attempts. % 18.93/2.76 # There were 0 of these attempts blocked. % 18.93/2.76 # There were 0 deferred branch saturation attempts. % 18.93/2.76 # There were 0 free duplicated saturations. % 18.93/2.76 # There were 1 total successful branch saturations. % 18.93/2.76 # There were 0 successful branch saturations in interreduction. % 18.93/2.76 # There were 0 successful branch saturations on the branch. % 18.93/2.76 # There were 1 successful branch saturations after the branch. % 18.93/2.76 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 18.93/2.76 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 18.93/2.76 # Begin clausification derivation % 18.93/2.76 % 18.93/2.76 # End clausification derivation % 18.93/2.76 # Begin listing active clauses obtained from FOF to CNF conversion % 18.93/2.76 cnf(i_0_37, hypothesis, (inverse(identity)=identity)). % 18.93/2.76 cnf(i_0_38, hypothesis, (inverse(inverse(X1))=X1)). % 18.93/2.76 cnf(i_0_22, plain, (multiply(identity,X1)=X1)). % 18.93/2.76 cnf(i_0_30, plain, (greatest_lower_bound(X1,X1)=X1)). % 18.93/2.76 cnf(i_0_29, plain, (least_upper_bound(X1,X1)=X1)). % 18.93/2.76 cnf(i_0_23, plain, (multiply(inverse(X1),X1)=identity)). % 18.93/2.76 cnf(i_0_32, plain, (greatest_lower_bound(X1,least_upper_bound(X1,X2))=X1)). % 18.93/2.76 cnf(i_0_31, plain, (least_upper_bound(X1,greatest_lower_bound(X1,X2))=X1)). % 18.93/2.76 cnf(i_0_27, plain, (greatest_lower_bound(greatest_lower_bound(X1,X2),X3)=greatest_lower_bound(X1,greatest_lower_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_28, plain, (least_upper_bound(least_upper_bound(X1,X2),X3)=least_upper_bound(X1,least_upper_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_24, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 18.93/2.76 cnf(i_0_39, hypothesis, (multiply(inverse(X1),inverse(X2))=inverse(multiply(X2,X1)))). % 18.93/2.76 cnf(i_0_40, hypothesis, (least_upper_bound(inverse(X1),inverse(X2))=inverse(greatest_lower_bound(X1,X2)))). % 18.93/2.76 cnf(i_0_41, hypothesis, (greatest_lower_bound(inverse(X1),inverse(X2))=inverse(least_upper_bound(X1,X2)))). % 18.93/2.76 cnf(i_0_34, plain, (greatest_lower_bound(multiply(X1,X2),multiply(X1,X3))=multiply(X1,greatest_lower_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_33, plain, (least_upper_bound(multiply(X1,X2),multiply(X1,X3))=multiply(X1,least_upper_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_36, plain, (greatest_lower_bound(multiply(X1,X2),multiply(X3,X2))=multiply(greatest_lower_bound(X1,X3),X2))). % 18.93/2.76 cnf(i_0_35, plain, (least_upper_bound(multiply(X1,X2),multiply(X3,X2))=multiply(least_upper_bound(X1,X3),X2))). % 18.93/2.76 cnf(i_0_25, plain, (greatest_lower_bound(X1,X2)=greatest_lower_bound(X2,X1))). % 18.93/2.76 cnf(i_0_26, plain, (least_upper_bound(X1,X2)=least_upper_bound(X2,X1))). % 18.93/2.76 cnf(i_0_42, negated_conjecture, (multiply(inverse(greatest_lower_bound(identity,a)),least_upper_bound(identity,a))!=multiply(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))))). % 18.93/2.76 cnf(i_0_44, plain, (X4=X4)). % 18.93/2.76 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 18.93/2.76 # Begin printing tableau % 18.93/2.76 # Found 6 steps % 18.93/2.76 cnf(i_0_37, hypothesis, (inverse(identity)=identity), inference(start_rule)). % 18.93/2.76 cnf(i_0_52, plain, (inverse(identity)=identity), inference(extension_rule, [i_0_51])). % 18.93/2.76 cnf(i_0_91, plain, (inverse(identity)!=identity), inference(closure_rule, [i_0_37])). % 18.93/2.76 cnf(i_0_89, plain, (least_upper_bound(inverse(identity),inverse(identity))=least_upper_bound(identity,identity)), inference(extension_rule, [i_0_47])). % 18.93/2.76 cnf(i_0_98, plain, (least_upper_bound(identity,identity)!=inverse(inverse(least_upper_bound(identity,identity)))), inference(closure_rule, [i_0_38])). % 18.93/2.76 cnf(i_0_96, plain, (least_upper_bound(inverse(identity),inverse(identity))=inverse(inverse(least_upper_bound(identity,identity)))), inference(etableau_closure_rule, [i_0_96, ...])). % 18.93/2.76 # End printing tableau % 18.93/2.76 # SZS output end % 18.93/2.76 # Branches closed with saturation will be marked with an "s" % 18.93/2.76 # There were 1 total branch saturation attempts. % 18.93/2.76 # There were 0 of these attempts blocked. % 18.93/2.76 # There were 0 deferred branch saturation attempts. % 18.93/2.76 # There were 0 free duplicated saturations. % 18.93/2.76 # There were 1 total successful branch saturations. % 18.93/2.76 # There were 0 successful branch saturations in interreduction. % 18.93/2.76 # There were 0 successful branch saturations on the branch. % 18.93/2.76 # There were 1 successful branch saturations after the branch. % 18.93/2.76 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 18.93/2.76 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 18.93/2.76 # Begin clausification derivation % 18.93/2.76 % 18.93/2.76 # End clausification derivation % 18.93/2.76 # Begin listing active clauses obtained from FOF to CNF conversion % 18.93/2.76 cnf(i_0_37, hypothesis, (inverse(identity)=identity)). % 18.93/2.76 cnf(i_0_38, hypothesis, (inverse(inverse(X1))=X1)). % 18.93/2.76 cnf(i_0_22, plain, (multiply(identity,X1)=X1)). % 18.93/2.76 cnf(i_0_30, plain, (greatest_lower_bound(X1,X1)=X1)). % 18.93/2.76 cnf(i_0_29, plain, (least_upper_bound(X1,X1)=X1)). % 18.93/2.76 cnf(i_0_23, plain, (multiply(inverse(X1),X1)=identity)). % 18.93/2.76 cnf(i_0_32, plain, (greatest_lower_bound(X1,least_upper_bound(X1,X2))=X1)). % 18.93/2.76 cnf(i_0_31, plain, (least_upper_bound(X1,greatest_lower_bound(X1,X2))=X1)). % 18.93/2.76 cnf(i_0_27, plain, (greatest_lower_bound(greatest_lower_bound(X1,X2),X3)=greatest_lower_bound(X1,greatest_lower_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_28, plain, (least_upper_bound(least_upper_bound(X1,X2),X3)=least_upper_bound(X1,least_upper_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_24, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 18.93/2.76 cnf(i_0_39, hypothesis, (multiply(inverse(X1),inverse(X2))=inverse(multiply(X2,X1)))). % 18.93/2.76 cnf(i_0_40, hypothesis, (least_upper_bound(inverse(X1),inverse(X2))=inverse(greatest_lower_bound(X1,X2)))). % 18.93/2.76 cnf(i_0_41, hypothesis, (greatest_lower_bound(inverse(X1),inverse(X2))=inverse(least_upper_bound(X1,X2)))). % 18.93/2.76 cnf(i_0_34, plain, (greatest_lower_bound(multiply(X1,X2),multiply(X1,X3))=multiply(X1,greatest_lower_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_33, plain, (least_upper_bound(multiply(X1,X2),multiply(X1,X3))=multiply(X1,least_upper_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_36, plain, (greatest_lower_bound(multiply(X1,X2),multiply(X3,X2))=multiply(greatest_lower_bound(X1,X3),X2))). % 18.93/2.76 cnf(i_0_35, plain, (least_upper_bound(multiply(X1,X2),multiply(X3,X2))=multiply(least_upper_bound(X1,X3),X2))). % 18.93/2.76 cnf(i_0_25, plain, (greatest_lower_bound(X1,X2)=greatest_lower_bound(X2,X1))). % 18.93/2.76 cnf(i_0_26, plain, (least_upper_bound(X1,X2)=least_upper_bound(X2,X1))). % 18.93/2.76 cnf(i_0_42, negated_conjecture, (multiply(inverse(greatest_lower_bound(identity,a)),least_upper_bound(identity,a))!=multiply(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))))). % 18.93/2.76 cnf(i_0_44, plain, (X4=X4)). % 18.93/2.76 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 18.93/2.76 # Begin printing tableau % 18.93/2.76 # Found 6 steps % 18.93/2.76 cnf(i_0_37, hypothesis, (inverse(identity)=identity), inference(start_rule)). % 18.93/2.76 cnf(i_0_52, plain, (inverse(identity)=identity), inference(extension_rule, [i_0_50])). % 18.93/2.76 cnf(i_0_88, plain, (inverse(identity)!=identity), inference(closure_rule, [i_0_37])). % 18.93/2.76 cnf(i_0_86, plain, (greatest_lower_bound(inverse(identity),inverse(identity))=greatest_lower_bound(identity,identity)), inference(extension_rule, [i_0_47])). % 18.93/2.76 cnf(i_0_98, plain, (greatest_lower_bound(identity,identity)!=inverse(inverse(greatest_lower_bound(identity,identity)))), inference(closure_rule, [i_0_38])). % 18.93/2.76 cnf(i_0_96, plain, (greatest_lower_bound(inverse(identity),inverse(identity))=inverse(inverse(greatest_lower_bound(identity,identity)))), inference(etableau_closure_rule, [i_0_96, ...])). % 18.93/2.76 # End printing tableau % 18.93/2.76 # SZS output end % 18.93/2.76 # Branches closed with saturation will be marked with an "s" % 18.93/2.76 # There were 1 total branch saturation attempts. % 18.93/2.76 # There were 0 of these attempts blocked. % 18.93/2.76 # There were 0 deferred branch saturation attempts. % 18.93/2.76 # There were 0 free duplicated saturations. % 18.93/2.76 # There were 1 total successful branch saturations. % 18.93/2.76 # There were 0 successful branch saturations in interreduction. % 18.93/2.76 # There were 0 successful branch saturations on the branch. % 18.93/2.76 # There were 1 successful branch saturations after the branch. % 18.93/2.76 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 18.93/2.76 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 18.93/2.76 # Begin clausification derivation % 18.93/2.76 % 18.93/2.76 # End clausification derivation % 18.93/2.76 # Begin listing active clauses obtained from FOF to CNF conversion % 18.93/2.76 cnf(i_0_37, hypothesis, (inverse(identity)=identity)). % 18.93/2.76 cnf(i_0_38, hypothesis, (inverse(inverse(X1))=X1)). % 18.93/2.76 cnf(i_0_22, plain, (multiply(identity,X1)=X1)). % 18.93/2.76 cnf(i_0_30, plain, (greatest_lower_bound(X1,X1)=X1)). % 18.93/2.76 cnf(i_0_29, plain, (least_upper_bound(X1,X1)=X1)). % 18.93/2.76 cnf(i_0_23, plain, (multiply(inverse(X1),X1)=identity)). % 18.93/2.76 cnf(i_0_32, plain, (greatest_lower_bound(X1,least_upper_bound(X1,X2))=X1)). % 18.93/2.76 cnf(i_0_31, plain, (least_upper_bound(X1,greatest_lower_bound(X1,X2))=X1)). % 18.93/2.76 cnf(i_0_27, plain, (greatest_lower_bound(greatest_lower_bound(X1,X2),X3)=greatest_lower_bound(X1,greatest_lower_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_28, plain, (least_upper_bound(least_upper_bound(X1,X2),X3)=least_upper_bound(X1,least_upper_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_24, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 18.93/2.76 cnf(i_0_39, hypothesis, (multiply(inverse(X1),inverse(X2))=inverse(multiply(X2,X1)))). % 18.93/2.76 cnf(i_0_40, hypothesis, (least_upper_bound(inverse(X1),inverse(X2))=inverse(greatest_lower_bound(X1,X2)))). % 18.93/2.76 cnf(i_0_41, hypothesis, (greatest_lower_bound(inverse(X1),inverse(X2))=inverse(least_upper_bound(X1,X2)))). % 18.93/2.76 cnf(i_0_34, plain, (greatest_lower_bound(multiply(X1,X2),multiply(X1,X3))=multiply(X1,greatest_lower_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_33, plain, (least_upper_bound(multiply(X1,X2),multiply(X1,X3))=multiply(X1,least_upper_bound(X2,X3)))). % 18.93/2.76 cnf(i_0_36, plain, (greatest_lower_bound(multiply(X1,X2),multiply(X3,X2))=multiply(greatest_lower_bound(X1,X3),X2))). % 18.93/2.76 cnf(i_0_35, plain, (least_upper_bound(multiply(X1,X2),multiply(X3,X2))=multiply(least_upper_bound(X1,X3),X2))). % 18.93/2.76 cnf(i_0_25, plain, (greatest_lower_bound(X1,X2)=greatest_lower_bound(X2,X1))). % 18.93/2.76 cnf(i_0_26, plain, (least_upper_bound(X1,X2)=least_upper_bound(X2,X1))). % 18.93/2.76 cnf(i_0_42, negated_conjecture, (multiply(inverse(greatest_lower_bound(identity,a)),least_upper_bound(identity,a))!=multiply(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))))). % 18.93/2.76 cnf(i_0_44, plain, (X4=X4)). % 18.93/2.76 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 18.93/2.76 # Begin printing tableau % 18.93/2.76 # Found 6 steps % 18.93/2.76 cnf(i_0_37, hypothesis, (inverse(identity)=identity), inference(start_rule)). % 18.93/2.76 cnf(i_0_52, plain, (inverse(identity)=identity), inference(extension_rule, [i_0_48])). % 18.93/2.76 cnf(i_0_82, plain, (inverse(identity)!=identity), inference(closure_rule, [i_0_37])). % 18.93/2.76 cnf(i_0_81, plain, (multiply(inverse(identity),inverse(identity))=multiply(identity,identity)), inference(extension_rule, [i_0_47])). % 18.93/2.76 cnf(i_0_98, plain, (multiply(identity,identity)!=inverse(inverse(multiply(identity,identity)))), inference(closure_rule, [i_0_38])). % 18.93/2.76 cnf(i_0_96, plain, (multiply(inverse(identity),inverse(identity))=inverse(inverse(multiply(identity,identity)))), inference(etableau_closure_rule, [i_0_96, ...])). % 18.93/2.76 # End printing tableau % 18.93/2.76 # SZS output end % 18.93/2.76 # Branches closed with saturation will be marked with an "s" % 18.93/2.77 # There were 1 total branch saturation attempts. % 18.93/2.77 # There were 0 of these attempts blocked. % 18.93/2.77 # There were 0 deferred branch saturation attempts. % 18.93/2.77 # There were 0 free duplicated saturations. % 18.93/2.77 # There were 1 total successful branch saturations. % 18.93/2.77 # There were 0 successful branch saturations in interreduction. % 18.93/2.77 # There were 0 successful branch saturations on the branch. % 18.93/2.77 # There were 1 successful branch saturations after the branch. % 18.93/2.77 # SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p % 18.93/2.77 # SZS output start for /export/starexec/sandbox/benchmark/theBenchmark.p % 18.93/2.77 # Begin clausification derivation % 18.93/2.77 % 18.93/2.77 # End clausification derivation % 18.93/2.77 # Begin listing active clauses obtained from FOF to CNF conversion % 18.93/2.77 cnf(i_0_37, hypothesis, (inverse(identity)=identity)). % 18.93/2.77 cnf(i_0_38, hypothesis, (inverse(inverse(X1))=X1)). % 18.93/2.77 cnf(i_0_22, plain, (multiply(identity,X1)=X1)). % 18.93/2.77 cnf(i_0_30, plain, (greatest_lower_bound(X1,X1)=X1)). % 18.93/2.77 cnf(i_0_29, plain, (least_upper_bound(X1,X1)=X1)). % 18.93/2.77 cnf(i_0_23, plain, (multiply(inverse(X1),X1)=identity)). % 18.93/2.77 cnf(i_0_32, plain, (greatest_lower_bound(X1,least_upper_bound(X1,X2))=X1)). % 18.93/2.77 cnf(i_0_31, plain, (least_upper_bound(X1,greatest_lower_bound(X1,X2))=X1)). % 18.93/2.77 cnf(i_0_27, plain, (greatest_lower_bound(greatest_lower_bound(X1,X2),X3)=greatest_lower_bound(X1,greatest_lower_bound(X2,X3)))). % 18.93/2.77 cnf(i_0_28, plain, (least_upper_bound(least_upper_bound(X1,X2),X3)=least_upper_bound(X1,least_upper_bound(X2,X3)))). % 18.93/2.77 cnf(i_0_24, plain, (multiply(multiply(X1,X2),X3)=multiply(X1,multiply(X2,X3)))). % 18.93/2.77 cnf(i_0_39, hypothesis, (multiply(inverse(X1),inverse(X2))=inverse(multiply(X2,X1)))). % 18.93/2.77 cnf(i_0_40, hypothesis, (least_upper_bound(inverse(X1),inverse(X2))=inverse(greatest_lower_bound(X1,X2)))). % 18.93/2.77 cnf(i_0_41, hypothesis, (greatest_lower_bound(inverse(X1),inverse(X2))=inverse(least_upper_bound(X1,X2)))). % 18.93/2.77 cnf(i_0_34, plain, (greatest_lower_bound(multiply(X1,X2),multiply(X1,X3))=multiply(X1,greatest_lower_bound(X2,X3)))). % 18.93/2.77 cnf(i_0_33, plain, (least_upper_bound(multiply(X1,X2),multiply(X1,X3))=multiply(X1,least_upper_bound(X2,X3)))). % 18.93/2.77 cnf(i_0_36, plain, (greatest_lower_bound(multiply(X1,X2),multiply(X3,X2))=multiply(greatest_lower_bound(X1,X3),X2))). % 18.93/2.77 cnf(i_0_35, plain, (least_upper_bound(multiply(X1,X2),multiply(X3,X2))=multiply(least_upper_bound(X1,X3),X2))). % 18.93/2.77 cnf(i_0_25, plain, (greatest_lower_bound(X1,X2)=greatest_lower_bound(X2,X1))). % 18.93/2.77 cnf(i_0_26, plain, (least_upper_bound(X1,X2)=least_upper_bound(X2,X1))). % 18.93/2.77 cnf(i_0_42, negated_conjecture, (multiply(inverse(greatest_lower_bound(identity,a)),least_upper_bound(identity,a))!=multiply(least_upper_bound(identity,a),inverse(greatest_lower_bound(identity,a))))). % 18.93/2.77 cnf(i_0_44, plain, (X4=X4)). % 18.93/2.77 # End listing active clauses. There is an equivalent clause to each of these in the clausification! % 18.93/2.77 # Begin printing tableau % 18.93/2.77 # Found 6 steps % 18.93/2.77 cnf(i_0_37, hypothesis, (inverse(identity)=identity), inference(start_rule)). % 18.93/2.77 cnf(i_0_52, plain, (inverse(identity)=identity), inference(extension_rule, [i_0_47])). % 18.93/2.77 cnf(i_0_79, plain, (inverse(identity)!=identity), inference(closure_rule, [i_0_37])). % 18.93/2.77 cnf(i_0_78, plain, (identity=identity), inference(extension_rule, [i_0_48])). % 18.93/2.77 cnf(i_0_157, plain, (inverse(identity)!=identity), inference(closure_rule, [i_0_37])). % 18.93/2.77 cnf(i_0_155, plain, (multiply(identity,inverse(identity))=multiply(identity,identity)), inference(etableau_closure_rule, [i_0_155, ...])). % 18.93/2.77 # End printing tableau % 18.93/2.77 # SZS output end % 18.93/2.77 # Branches closed with saturation will be marked with an "s" % 19.42/2.78 # Child (798) has found a proof. % 19.42/2.78 % 19.42/2.78 # Proof search is over... % 19.42/2.78 # Freeing feature tree %------------------------------------------------------------------------------