%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET041-3 : TPTP v8.1.0. Released v1.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n028.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 02:42:53 EDT 2022 % Result : Unsatisfiable 26.07s 3.73s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.02/0.11 % Problem : SET041-3 : TPTP v8.1.0. Released v1.0.0. % 0.02/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jul 10 13:12:27 EDT 2022 % 0.12/0.33 % CPUTime : % 26.07/3.73 % SZS status Unsatisfiable % 26.07/3.73 % SZS output begin IncompleteProof % 26.07/3.73 cnf(c0, axiom, % 26.07/3.73 apply(another_function,apply(a_function,a)) != apply(compose(another_function,a_function),a)). % 26.07/3.73 cnf(c1, plain, % 26.07/3.73 apply(another_function,apply(a_function,a)) != apply(compose(another_function,a_function),a), % 26.07/3.73 inference(start, [], [c0])). % 26.07/3.73 % 26.07/3.73 cnf(c2, axiom, % 26.07/3.73 X0 = X1 | ~subset(X1,X0) | ~subset(X0,X1)). % 26.07/3.73 cnf(a0, assumption, % 26.07/3.73 apply(compose(another_function,a_function),a) = X0). % 26.07/3.73 cnf(c3, plain, % 26.07/3.73 $false, % 26.07/3.73 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 26.07/3.73 cnf(c4, plain, % 26.07/3.73 ~subset(X1,X0) | ~subset(X0,X1), % 26.07/3.73 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 26.07/3.73 cnf(c5, plain, % 26.07/3.73 X1 != X2 | apply(another_function,apply(a_function,a)) != X2, % 26.07/3.73 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 26.07/3.73 % 26.07/3.73 cnf(a1, assumption, % 26.07/3.73 X1 = X2). % 26.07/3.73 cnf(c6, plain, % 26.07/3.73 apply(another_function,apply(a_function,a)) != X2, % 26.07/3.73 inference(reflexivity, [assumptions([a1])], [c5])). % 26.07/3.73 % 26.07/3.73 cnf(a2, assumption, % 26.07/3.73 apply(another_function,apply(a_function,a)) = X2). % 26.07/3.73 cnf(c7, plain, % 26.07/3.73 $false, % 26.07/3.73 inference(reflexivity, [assumptions([a2])], [c6])). % 26.07/3.73 % 26.07/3.73 cnf(c8, axiom, % 26.07/3.73 subset(apply(X3,apply(X4,X5)),apply(compose(X3,X4),X5)) | ~member(X5,domain_of(X4)) | ~function(X4)). % 26.07/3.73 cnf(a3, assumption, % 26.07/3.73 X1 = apply(X3,apply(X4,X5))). % 26.07/3.73 cnf(a4, assumption, % 26.07/3.73 X0 = apply(compose(X3,X4),X5)). % 26.07/3.73 cnf(c9, plain, % 26.07/3.73 ~subset(X0,X1), % 26.07/3.73 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])). % 26.07/3.73 cnf(c10, plain, % 26.07/3.73 ~member(X5,domain_of(X4)) | ~function(X4), % 26.07/3.73 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c8])). % 26.07/3.73 % 26.07/3.73 cnf(c11, axiom, % 26.07/3.73 member(a,domain_of(a_function))). % 26.07/3.73 cnf(a5, assumption, % 26.07/3.73 X5 = a). % 26.07/3.73 cnf(a6, assumption, % 26.07/3.73 domain_of(X4) = domain_of(a_function)). % 26.07/3.73 cnf(c12, plain, % 26.07/3.73 ~function(X4), % 26.07/3.73 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])). % 26.07/3.73 cnf(c13, plain, % 26.07/3.73 $false, % 26.07/3.73 inference(strict_predicate_extension, [assumptions([a5, a6])], [c10, c11])). % 26.07/3.73 % 26.07/3.73 cnf(c14, axiom, % 26.07/3.73 function(a_function)). % 26.07/3.73 cnf(a7, assumption, % 26.07/3.73 X4 = a_function). % 26.07/3.73 cnf(c15, plain, % 26.07/3.73 $false, % 26.07/3.73 inference(strict_predicate_extension, [assumptions([a7])], [c12, c14])). % 26.07/3.73 cnf(c16, plain, % 26.07/3.73 $false, % 26.07/3.73 inference(strict_predicate_extension, [assumptions([a7])], [c12, c14])). % 26.07/3.73 % 26.07/3.73 cnf(c17, axiom, % 26.07/3.73 subset(apply(compose(X6,X7),X8),apply(X6,apply(X7,X8))) | ~function(X7)). % 26.07/3.73 cnf(a8, assumption, % 26.07/3.73 X0 = apply(compose(X6,X7),X8)). % 26.07/3.73 cnf(a9, assumption, % 26.07/3.73 X1 = apply(X6,apply(X7,X8))). % 26.07/3.73 cnf(c18, plain, % 26.07/3.73 $false, % 26.07/3.73 inference(strict_predicate_extension, [assumptions([a8, a9])], [c9, c17])). % 26.07/3.73 cnf(c19, plain, % 26.07/3.73 ~function(X7), % 26.07/3.73 inference(strict_predicate_extension, [assumptions([a8, a9])], [c9, c17])). % 26.07/3.73 % 26.07/3.73 cnf(c20, plain, % 26.07/3.73 function(X4)). % 26.07/3.73 cnf(a10, assumption, % 26.07/3.73 X7 = X4). % 26.07/3.73 cnf(c21, plain, % 26.07/3.73 $false, % 26.07/3.73 inference(predicate_reduction, [assumptions([a10])], [c19, c20])). % 26.07/3.73 % 26.07/3.73 cnf(c22, plain, % 26.07/3.73 $false, % 26.07/3.73 inference(constraint_solving, [ % 26.07/3.73 bind(X0, apply(compose(another_function,a_function),a)), % 26.07/3.73 bind(X1, apply(another_function,apply(a_function,a))), % 26.07/3.73 bind(X2, apply(another_function,apply(a_function,a))), % 26.07/3.73 bind(X3, another_function), % 26.07/3.73 bind(X4, a_function), % 26.07/3.73 bind(X5, a), % 26.07/3.73 bind(X6, another_function), % 26.07/3.73 bind(X7, a_function), % 26.07/3.73 bind(X8, a) % 26.07/3.73 ], % 26.07/3.73 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 26.07/3.73 % 26.07/3.73 % SZS output end IncompleteProof %------------------------------------------------------------------------------