%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SWX206-1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n024.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 : 300s % DateTime : Tue May 5 07:03:23 PM UTC 2026 % Result : Unsatisfiable 0.59s 0.42s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWX206-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.06 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.06/0.24 % Computer : n024.cluster.edu % 0.06/0.24 % Model : x86_64 x86_64 % 0.06/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.24 % Memory : 8042.1875MB % 0.06/0.24 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.24 % CPULimit : 300 % 0.06/0.24 % WCLimit : 300 % 0.06/0.24 % DateTime : Tue May 5 06:33:56 EDT 2026 % 0.06/0.24 % CPUTime : % 0.59/0.42 % SZS status Unsatisfiable % 0.59/0.42 % SZS output begin IncompleteProof % 0.59/0.42 cnf(c0, axiom, % 0.59/0.42 btrue != eq2(impl(eq(x2(X0,X0),X0),eq2(btrue,bfalse)),bfalse)). % 0.59/0.42 cnf(c1, plain, % 0.59/0.42 btrue != eq2(impl(eq(x2(X0,X0),X0),eq2(btrue,bfalse)),bfalse), % 0.59/0.42 inference(start, [], [c0])). % 0.59/0.42 % 0.59/0.42 cnf(c2, axiom, % 0.59/0.42 bfalse = eq2(btrue,bfalse)). % 0.59/0.42 cnf(a0, assumption, % 0.59/0.42 eq2(btrue,bfalse) = eq2(btrue,bfalse)). % 0.59/0.42 cnf(c3, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.59/0.42 cnf(c4, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.59/0.42 cnf(c5, plain, % 0.59/0.42 X1 != bfalse | btrue != eq2(impl(eq(x2(X0,X0),X0),X1),bfalse), % 0.59/0.42 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.59/0.42 % 0.59/0.42 cnf(a1, assumption, % 0.59/0.42 X1 = bfalse). % 0.59/0.42 cnf(c6, plain, % 0.59/0.42 btrue != eq2(impl(eq(x2(X0,X0),X0),X1),bfalse), % 0.59/0.42 inference(reflexivity, [assumptions([a1])], [c5])). % 0.59/0.42 % 0.59/0.42 cnf(c7, axiom, % 0.59/0.42 x2(z,X2) = X2). % 0.59/0.42 cnf(a2, assumption, % 0.59/0.42 x2(X0,X0) = x2(z,X2)). % 0.59/0.42 cnf(c8, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.59/0.42 cnf(c9, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.59/0.42 cnf(c10, plain, % 0.59/0.42 X3 != X2 | btrue != eq2(impl(eq(X3,X0),X1),bfalse), % 0.59/0.42 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.59/0.42 % 0.59/0.42 cnf(a3, assumption, % 0.59/0.42 X3 = X2). % 0.59/0.42 cnf(c11, plain, % 0.59/0.42 btrue != eq2(impl(eq(X3,X0),X1),bfalse), % 0.59/0.42 inference(reflexivity, [assumptions([a3])], [c10])). % 0.59/0.42 % 0.59/0.42 cnf(c12, axiom, % 0.59/0.42 btrue = eq(X4,X4)). % 0.59/0.42 cnf(a4, assumption, % 0.59/0.42 eq(X3,X0) = eq(X4,X4)). % 0.59/0.42 cnf(c13, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 0.59/0.42 cnf(c14, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 0.59/0.42 cnf(c15, plain, % 0.59/0.42 X5 != btrue | btrue != eq2(impl(X5,X1),bfalse), % 0.59/0.42 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 0.59/0.42 % 0.59/0.42 cnf(a5, assumption, % 0.59/0.42 X5 = btrue). % 0.59/0.42 cnf(c16, plain, % 0.59/0.42 btrue != eq2(impl(X5,X1),bfalse), % 0.59/0.42 inference(reflexivity, [assumptions([a5])], [c15])). % 0.59/0.42 % 0.59/0.42 cnf(c17, axiom, % 0.59/0.42 impl(btrue,X6) = X6). % 0.59/0.42 cnf(a6, assumption, % 0.59/0.42 impl(X5,X1) = impl(btrue,X6)). % 0.59/0.42 cnf(c18, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 0.59/0.42 cnf(c19, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 0.59/0.42 cnf(c20, plain, % 0.59/0.42 X7 != X6 | btrue != eq2(X7,bfalse), % 0.59/0.42 inference(strict_function_extension, [assumptions([a6])], [c16, c17])). % 0.59/0.42 % 0.59/0.42 cnf(a7, assumption, % 0.59/0.42 X7 = X6). % 0.59/0.42 cnf(c21, plain, % 0.59/0.42 btrue != eq2(X7,bfalse), % 0.59/0.42 inference(reflexivity, [assumptions([a7])], [c20])). % 0.59/0.42 % 0.59/0.42 cnf(c22, axiom, % 0.59/0.42 btrue = eq2(X8,X8)). % 0.59/0.42 cnf(a8, assumption, % 0.59/0.42 eq2(X7,bfalse) = eq2(X8,X8)). % 0.59/0.42 cnf(c23, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 0.59/0.42 cnf(c24, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 0.59/0.42 cnf(c25, plain, % 0.59/0.42 X9 != btrue | btrue != X9, % 0.59/0.42 inference(strict_function_extension, [assumptions([a8])], [c21, c22])). % 0.59/0.42 % 0.59/0.42 cnf(a9, assumption, % 0.59/0.42 X9 = btrue). % 0.59/0.42 cnf(c26, plain, % 0.59/0.42 btrue != X9, % 0.59/0.42 inference(reflexivity, [assumptions([a9])], [c25])). % 0.59/0.42 % 0.59/0.42 cnf(a10, assumption, % 0.59/0.42 btrue = X9). % 0.59/0.42 cnf(c27, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(reflexivity, [assumptions([a10])], [c26])). % 0.59/0.42 % 0.59/0.42 cnf(c28, plain, % 0.59/0.42 $false, % 0.59/0.42 inference(constraint_solving, [ % 0.59/0.42 bind(X0, z), % 0.59/0.42 bind(X1, bfalse), % 0.59/0.42 bind(X2, z), % 0.59/0.42 bind(X3, z), % 0.59/0.42 bind(X4, z), % 0.59/0.42 bind(X5, btrue), % 0.59/0.42 bind(X6, bfalse), % 0.59/0.42 bind(X7, bfalse), % 0.59/0.42 bind(X8, bfalse), % 0.59/0.42 bind(X9, btrue) % 0.59/0.42 ], % 0.59/0.42 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 0.59/0.42 % 0.59/0.42 % SZS output end IncompleteProof %------------------------------------------------------------------------------