%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL132-1 : TPTP v9.3.1. 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 : n004.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:28:11 PM UTC 2026 % Result : Unsatisfiable 4.21s 1.01s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL132-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.03 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.09/0.36 % Computer : n004.cluster.edu % 0.09/0.36 % Model : x86_64 x86_64 % 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.36 % Memory : 8046.5625MB % 0.09/0.36 % OS : Linux 6.8.0-71-generic % 0.09/0.36 % CPULimit : 300 % 0.09/0.36 % WCLimit : 300 % 0.09/0.36 % DateTime : Fri Sep 4 20:17:14 UTC 2026 % 0.09/0.36 % CPUTime : % 4.21/1.01 % SZS status Unsatisfiable % 4.21/1.01 % SZS output begin IncompleteProof % 4.21/1.01 cnf(c0, axiom, % 4.21/1.01 truth != implies(x,x)). % 4.21/1.01 cnf(c1, plain, % 4.21/1.01 truth != implies(x,x), % 4.21/1.01 inference(start, [], [c0])). % 4.21/1.01 % 4.21/1.01 cnf(c2, axiom, % 4.21/1.01 implies(truth,X0) = X0). % 4.21/1.01 cnf(a0, assumption, % 4.21/1.01 implies(x,x) = X0). % 4.21/1.01 cnf(c3, plain, % 4.21/1.01 $false, % 4.21/1.01 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 4.21/1.01 cnf(c4, plain, % 4.21/1.01 $false, % 4.21/1.01 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 4.21/1.01 cnf(c5, plain, % 4.21/1.01 implies(truth,X0) != X1 | truth != X1, % 4.21/1.01 inference(variable_extension, [assumptions([a0])], [c1, c2])). % 4.21/1.01 % 4.21/1.01 cnf(c6, axiom, % 4.21/1.01 truth = implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))). % 4.21/1.01 cnf(a1, assumption, % 4.21/1.01 implies(X5,X6) = implies(truth,X0)). % 4.21/1.01 cnf(c7, plain, % 4.21/1.01 truth != X1, % 4.21/1.01 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 4.21/1.01 cnf(c8, plain, % 4.21/1.01 $false, % 4.21/1.01 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 4.21/1.01 cnf(c9, plain, % 4.21/1.01 X5 != implies(X2,X3) | X6 != implies(implies(X3,X4),implies(X2,X4)) | X7 != truth | X7 != X1, % 4.21/1.01 inference(lazy_function_extension, [assumptions([a1])], [c5, c6])). % 4.21/1.01 % 4.21/1.01 cnf(c10, axiom, % 4.21/1.01 implies(truth,X8) = X8). % 4.21/1.01 cnf(a2, assumption, % 4.21/1.01 implies(X2,X3) = implies(truth,X8)). % 4.21/1.01 cnf(c11, plain, % 4.21/1.01 X6 != implies(implies(X3,X4),implies(X2,X4)) | X7 != truth | X7 != X1, % 4.21/1.01 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 4.21/1.01 cnf(c12, plain, % 4.21/1.01 $false, % 4.21/1.01 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 4.21/1.01 cnf(c13, plain, % 4.21/1.01 X9 != X8 | X5 != X9, % 4.21/1.01 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 4.21/1.01 % 4.21/1.01 cnf(a3, assumption, % 4.21/1.01 X9 = X8). % 4.21/1.01 cnf(c14, plain, % 4.21/1.01 X5 != X9, % 4.21/1.01 inference(reflexivity, [assumptions([a3])], [c13])). % 4.21/1.01 % 4.21/1.01 cnf(a4, assumption, % 4.21/1.01 X5 = X9). % 4.21/1.01 cnf(c15, plain, % 4.21/1.01 $false, % 4.21/1.01 inference(reflexivity, [assumptions([a4])], [c14])). % 4.21/1.01 % 4.21/1.01 cnf(c16, axiom, % 4.21/1.01 implies(truth,X10) = X10). % 4.21/1.01 cnf(a5, assumption, % 4.21/1.01 implies(X2,X4) = implies(truth,X10)). % 4.21/1.01 cnf(c17, plain, % 4.21/1.01 X7 != truth | X7 != X1, % 4.21/1.01 inference(strict_function_extension, [assumptions([a5])], [c11, c16])). % 4.21/1.01 cnf(c18, plain, % 4.21/1.01 $false, % 4.21/1.01 inference(strict_function_extension, [assumptions([a5])], [c11, c16])). % 4.21/1.01 cnf(c19, plain, % 4.21/1.01 X11 != X10 | X6 != implies(implies(X3,X4),X11), % 4.21/1.01 inference(strict_function_extension, [assumptions([a5])], [c11, c16])). % 4.21/1.01 % 4.21/1.01 cnf(a6, assumption, % 4.21/1.01 X11 = X10). % 4.21/1.01 cnf(c20, plain, % 4.21/1.01 X6 != implies(implies(X3,X4),X11), % 4.21/1.01 inference(reflexivity, [assumptions([a6])], [c19])). % 4.21/1.01 % 4.21/1.01 cnf(c21, plain, % 4.21/1.01 implies(truth,X10) = X10). % 4.21/1.01 cnf(a7, assumption, % 4.21/1.01 implies(X3,X4) = implies(truth,X10)). % 4.21/1.01 cnf(c22, plain, % 4.21/1.01 $false, % 4.21/1.01 inference(equality_reduction, [assumptions([a7])], [c20, c21])). % 4.21/1.01 cnf(c23, plain, % 4.21/1.01 X6 != implies(X10,X11), % 4.21/1.01 inference(equality_reduction, [assumptions([a7])], [c20, c21])). % 4.21/1.01 % 4.21/1.01 cnf(a8, assumption, % 4.21/1.01 X6 = implies(X10,X11)). % 4.21/1.01 cnf(c24, plain, % 4.21/1.01 $false, % 4.21/1.01 inference(reflexivity, [assumptions([a8])], [c23])). % 4.21/1.01 % 4.21/1.01 cnf(a9, assumption, % 4.21/1.01 X7 = truth). % 4.21/1.01 cnf(c25, plain, % 4.21/1.01 X7 != X1, % 4.21/1.01 inference(reflexivity, [assumptions([a9])], [c17])). % 4.21/1.01 % 4.21/1.01 cnf(a10, assumption, % 4.21/1.01 X7 = X1). % 4.21/1.01 cnf(c26, plain, % 4.21/1.01 $false, % 4.21/1.01 inference(reflexivity, [assumptions([a10])], [c25])). % 4.21/1.01 % 4.21/1.01 cnf(a11, assumption, % 4.21/1.01 truth = X1). % 4.21/1.01 cnf(c27, plain, % 4.21/1.01 $false, % 4.21/1.01 inference(reflexivity, [assumptions([a11])], [c7])). % 4.21/1.01 % 4.21/1.01 cnf(c28, plain, % 4.21/1.01 $false, % 4.21/1.01 inference(constraint_solving, [ % 4.21/1.01 bind(X0, implies(x,x)), % 4.21/1.01 bind(X1, truth), % 4.21/1.01 bind(X2, truth), % 4.21/1.01 bind(X3, truth), % 4.21/1.01 bind(X4, x), % 4.21/1.01 bind(X7, truth), % 4.21/1.01 bind(X5, truth), % 4.21/1.01 bind(X6, implies(x,x)), % 4.21/1.01 bind(X8, truth), % 4.21/1.01 bind(X9, truth), % 4.21/1.01 bind(X10, x), % 4.21/1.01 bind(X11, x) % 4.21/1.01 ], % 4.21/1.01 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11])). % 4.21/1.01 % 4.21/1.01 % SZS output end IncompleteProof %------------------------------------------------------------------------------