%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SWX233-1 : 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 : n003.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 07:03:26 PM UTC 2026 % Result : Unsatisfiable 0.19s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX233-1 : TPTP v9.3.0. Released v9.3.0. % 0.00/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.16/0.34 % Computer : n003.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue May 5 13:06:11 EDT 2026 % 0.16/0.34 % CPUTime : % 0.19/0.35 % SZS status Unsatisfiable % 0.19/0.35 % SZS output begin IncompleteProof % 0.19/0.35 cnf(c0, axiom, % 0.19/0.35 btrue != eq(eq(f(X0),bfalse),bfalse)). % 0.19/0.35 cnf(c1, plain, % 0.19/0.35 btrue != eq(eq(f(X0),bfalse),bfalse), % 0.19/0.35 inference(start, [], [c0])). % 0.19/0.35 % 0.19/0.35 cnf(c2, axiom, % 0.19/0.35 btrue = f(nil)). % 0.19/0.35 cnf(a0, assumption, % 0.19/0.35 f(X0) = f(nil)). % 0.19/0.35 cnf(c3, plain, % 0.19/0.35 $false, % 0.19/0.35 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.19/0.35 cnf(c4, plain, % 0.19/0.35 $false, % 0.19/0.35 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.19/0.35 cnf(c5, plain, % 0.19/0.35 X1 != btrue | btrue != eq(eq(X1,bfalse),bfalse), % 0.19/0.35 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 0.19/0.35 % 0.19/0.35 cnf(a1, assumption, % 0.19/0.35 X1 = btrue). % 0.19/0.35 cnf(c6, plain, % 0.19/0.35 btrue != eq(eq(X1,bfalse),bfalse), % 0.19/0.35 inference(reflexivity, [assumptions([a1])], [c5])). % 0.19/0.35 % 0.19/0.35 cnf(c7, axiom, % 0.19/0.35 bfalse = eq(btrue,bfalse)). % 0.19/0.35 cnf(a2, assumption, % 0.19/0.35 eq(X1,bfalse) = eq(btrue,bfalse)). % 0.19/0.35 cnf(c8, plain, % 0.19/0.35 $false, % 0.19/0.35 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.19/0.35 cnf(c9, plain, % 0.19/0.35 $false, % 0.19/0.35 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.19/0.35 cnf(c10, plain, % 0.19/0.35 X2 != bfalse | btrue != eq(X2,bfalse), % 0.19/0.35 inference(strict_function_extension, [assumptions([a2])], [c6, c7])). % 0.19/0.35 % 0.19/0.35 cnf(a3, assumption, % 0.19/0.35 X2 = bfalse). % 0.19/0.35 cnf(c11, plain, % 0.19/0.35 btrue != eq(X2,bfalse), % 0.19/0.35 inference(reflexivity, [assumptions([a3])], [c10])). % 0.19/0.35 % 0.19/0.35 cnf(c12, axiom, % 0.19/0.35 btrue = eq(X3,X3)). % 0.19/0.35 cnf(a4, assumption, % 0.19/0.35 eq(X2,bfalse) = eq(X3,X3)). % 0.19/0.35 cnf(c13, plain, % 0.19/0.35 $false, % 0.19/0.35 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 0.19/0.35 cnf(c14, plain, % 0.19/0.35 $false, % 0.19/0.35 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 0.19/0.35 cnf(c15, plain, % 0.19/0.35 X4 != btrue | btrue != X4, % 0.19/0.35 inference(strict_function_extension, [assumptions([a4])], [c11, c12])). % 0.19/0.35 % 0.19/0.35 cnf(a5, assumption, % 0.19/0.35 X4 = btrue). % 0.19/0.35 cnf(c16, plain, % 0.19/0.35 btrue != X4, % 0.19/0.35 inference(reflexivity, [assumptions([a5])], [c15])). % 0.19/0.35 % 0.19/0.35 cnf(a6, assumption, % 0.19/0.35 btrue = X4). % 0.19/0.35 cnf(c17, plain, % 0.19/0.35 $false, % 0.19/0.35 inference(reflexivity, [assumptions([a6])], [c16])). % 0.19/0.35 % 0.19/0.35 cnf(c18, plain, % 0.19/0.35 $false, % 0.19/0.35 inference(constraint_solving, [ % 0.19/0.35 bind(X0, nil), % 0.19/0.35 bind(X1, btrue), % 0.19/0.35 bind(X2, bfalse), % 0.19/0.35 bind(X3, bfalse), % 0.19/0.35 bind(X4, btrue) % 0.19/0.35 ], % 0.19/0.35 [a0, a1, a2, a3, a4, a5, a6])). % 0.19/0.35 % 0.19/0.35 % SZS output end IncompleteProof %------------------------------------------------------------------------------