%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL143-1 : 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 : n001.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 12:28:12 PM UTC 2026 % Result : Unsatisfiable 3.62s 0.82s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL143-1 : TPTP v9.3.1. Released v1.0.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.11/0.34 % Computer : n001.cluster.edu % 0.11/0.34 % Model : x86_64 x86_64 % 0.11/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.34 % Memory : 8046.5625MB % 0.11/0.34 % OS : Linux 6.8.0-71-generic % 0.11/0.34 % CPULimit : 300 % 0.11/0.34 % WCLimit : 300 % 0.11/0.34 % DateTime : Fri Sep 4 23:49:30 UTC 2026 % 0.11/0.34 % CPUTime : % 3.62/0.82 % SZS status Unsatisfiable % 3.62/0.82 % SZS output begin IncompleteProof % 3.62/0.82 cnf(c0, axiom, % 3.62/0.82 ordered(x,y)). % 3.62/0.82 cnf(c1, plain, % 3.62/0.82 ordered(x,y), % 3.62/0.82 inference(start, [], [c0])). % 3.62/0.82 % 3.62/0.82 cnf(c2, axiom, % 3.62/0.82 truth = implies(X0,X1) | ~ordered(X0,X1)). % 3.62/0.82 cnf(a0, assumption, % 3.62/0.82 x = X0). % 3.62/0.82 cnf(a1, assumption, % 3.62/0.82 y = X1). % 3.62/0.82 cnf(c3, plain, % 3.62/0.82 $false, % 3.62/0.82 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 3.62/0.82 cnf(c4, plain, % 3.62/0.82 truth = implies(X0,X1), % 3.62/0.82 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 3.62/0.82 % 3.62/0.82 cnf(c5, axiom, % 3.62/0.82 truth = implies(implies(X2,X3),implies(implies(X3,X4),implies(X2,X4)))). % 3.62/0.82 cnf(a2, assumption, % 3.62/0.82 implies(X3,X4) = implies(X0,X1)). % 3.62/0.82 cnf(a3, assumption, % 3.62/0.82 truth = X5). % 3.62/0.82 cnf(c6, plain, % 3.62/0.82 $false, % 3.62/0.82 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])). % 3.62/0.82 cnf(c7, plain, % 3.62/0.82 $false, % 3.62/0.82 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])). % 3.62/0.82 cnf(c8, plain, % 3.62/0.82 truth = implies(implies(X2,X3),implies(X5,implies(X2,X4))), % 3.62/0.82 inference(strict_subterm_extension, [assumptions([a2, a3])], [c4, c5])). % 3.62/0.82 % 3.62/0.82 cnf(c9, axiom, % 3.62/0.82 implies(truth,X6) = X6). % 3.62/0.82 cnf(a4, assumption, % 3.62/0.82 implies(X5,implies(X2,X4)) = implies(truth,X6)). % 3.62/0.82 cnf(c10, plain, % 3.62/0.82 $false, % 3.62/0.82 inference(strict_function_extension, [assumptions([a4])], [c8, c9])). % 3.62/0.82 cnf(c11, plain, % 3.62/0.82 $false, % 3.62/0.82 inference(strict_function_extension, [assumptions([a4])], [c8, c9])). % 3.62/0.82 cnf(c12, plain, % 3.62/0.82 X7 != X6 | truth = implies(implies(X2,X3),X7), % 3.62/0.82 inference(strict_function_extension, [assumptions([a4])], [c8, c9])). % 3.62/0.82 % 3.62/0.82 cnf(a5, assumption, % 3.62/0.82 X7 = X6). % 3.62/0.82 cnf(c13, plain, % 3.62/0.82 truth = implies(implies(X2,X3),X7), % 3.62/0.82 inference(reflexivity, [assumptions([a5])], [c12])). % 3.62/0.82 % 3.62/0.82 cnf(c14, axiom, % 3.62/0.82 ordered(X8,X9) | truth != implies(X8,X9)). % 3.62/0.82 cnf(a6, assumption, % 3.62/0.82 implies(X8,X9) = implies(implies(X2,X3),X7)). % 3.62/0.82 cnf(a7, assumption, % 3.62/0.82 truth = X10). % 3.62/0.82 cnf(c15, plain, % 3.62/0.82 $false, % 3.62/0.82 inference(strict_subterm_extension, [assumptions([a6, a7])], [c13, c14])). % 3.62/0.82 cnf(c16, plain, % 3.62/0.82 ordered(X8,X9), % 3.62/0.82 inference(strict_subterm_extension, [assumptions([a6, a7])], [c13, c14])). % 3.62/0.82 cnf(c17, plain, % 3.62/0.82 truth != X10, % 3.62/0.82 inference(strict_subterm_extension, [assumptions([a6, a7])], [c13, c14])). % 3.62/0.82 % 3.62/0.82 cnf(a8, assumption, % 3.62/0.82 truth = X10). % 3.62/0.82 cnf(c18, plain, % 3.62/0.82 $false, % 3.62/0.82 inference(reflexivity, [assumptions([a8])], [c17])). % 3.62/0.82 % 3.62/0.82 cnf(c19, axiom, % 3.62/0.82 ~ordered(implies(z,x),implies(z,y))). % 3.62/0.82 cnf(a9, assumption, % 3.62/0.82 X8 = implies(z,x)). % 3.62/0.82 cnf(a10, assumption, % 3.62/0.82 X9 = implies(z,y)). % 3.62/0.82 cnf(c20, plain, % 3.62/0.82 $false, % 3.62/0.82 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c19])). % 3.62/0.82 cnf(c21, plain, % 3.62/0.82 $false, % 3.62/0.82 inference(strict_predicate_extension, [assumptions([a9, a10])], [c16, c19])). % 3.62/0.82 % 3.62/0.82 cnf(c22, plain, % 3.62/0.82 $false, % 3.62/0.82 inference(constraint_solving, [ % 3.62/0.82 bind(X0, x), % 3.62/0.82 bind(X1, y), % 3.62/0.82 bind(X2, z), % 3.62/0.82 bind(X3, x), % 3.62/0.82 bind(X4, y), % 3.62/0.82 bind(X5, truth), % 3.62/0.82 bind(X6, implies(X2,X4)), % 3.62/0.82 bind(X7, implies(X2,X4)), % 3.62/0.82 bind(X8, implies(X2,X3)), % 3.62/0.82 bind(X9, implies(X2,X4)), % 3.62/0.82 bind(X10, truth) % 3.62/0.82 ], % 3.62/0.82 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10])). % 3.62/0.82 % 3.62/0.82 % SZS output end IncompleteProof %------------------------------------------------------------------------------