%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL161-1 : 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 : n005.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 12:28:13 PM UTC 2026 % Result : Unsatisfiable 23.74s 3.46s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL161-1 : 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 % 0.08/0.35 % Computer : n005.cluster.edu % 0.08/0.35 % Model : x86_64 x86_64 % 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.08/0.35 % Memory : 8046.5625MB % 0.08/0.35 % OS : Linux 6.8.0-71-generic % 0.08/0.35 % CPULimit : 300 % 0.08/0.35 % WCLimit : 300 % 0.08/0.35 % DateTime : Sat Sep 5 08:53:20 UTC 2026 % 0.08/0.35 % CPUTime : % 23.74/3.46 % SZS status Unsatisfiable % 23.74/3.46 % SZS output begin IncompleteProof % 23.74/3.46 cnf(c0, axiom, % 23.74/3.46 x != xor(truth,and_star(truth,xor(truth,x)))). % 23.74/3.46 cnf(c1, plain, % 23.74/3.46 x != xor(truth,and_star(truth,xor(truth,x))), % 23.74/3.46 inference(start, [], [c0])). % 23.74/3.46 % 23.74/3.46 cnf(c2, axiom, % 23.74/3.46 and_star(X0,X1) = and_star(X1,X0)). % 23.74/3.46 cnf(a0, assumption, % 23.74/3.46 and_star(truth,xor(truth,x)) = and_star(X0,X1)). % 23.74/3.46 cnf(c3, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 23.74/3.46 cnf(c4, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 23.74/3.46 cnf(c5, plain, % 23.74/3.46 X2 != and_star(X1,X0) | x != xor(truth,X2), % 23.74/3.46 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 23.74/3.46 % 23.74/3.46 cnf(c6, axiom, % 23.74/3.46 and_star(X3,truth) = X3). % 23.74/3.46 cnf(a1, assumption, % 23.74/3.46 and_star(X1,X0) = and_star(X3,truth)). % 23.74/3.46 cnf(c7, plain, % 23.74/3.46 x != xor(truth,X2), % 23.74/3.46 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 23.74/3.46 cnf(c8, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 23.74/3.46 cnf(c9, plain, % 23.74/3.46 X4 != X3 | X2 != X4, % 23.74/3.46 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 23.74/3.46 % 23.74/3.46 cnf(a2, assumption, % 23.74/3.46 X4 = X3). % 23.74/3.46 cnf(c10, plain, % 23.74/3.46 X2 != X4, % 23.74/3.46 inference(reflexivity, [assumptions([a2])], [c9])). % 23.74/3.46 % 23.74/3.46 cnf(a3, assumption, % 23.74/3.46 X2 = X4). % 23.74/3.46 cnf(c11, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(reflexivity, [assumptions([a3])], [c10])). % 23.74/3.46 % 23.74/3.46 cnf(c12, axiom, % 23.74/3.46 xor(X5,xor(truth,X6)) = xor(xor(X5,truth),X6)). % 23.74/3.46 cnf(a4, assumption, % 23.74/3.46 xor(truth,X2) = xor(X5,xor(truth,X6))). % 23.74/3.46 cnf(c13, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(strict_function_extension, [assumptions([a4])], [c7, c12])). % 23.74/3.46 cnf(c14, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(strict_function_extension, [assumptions([a4])], [c7, c12])). % 23.74/3.46 cnf(c15, plain, % 23.74/3.46 X7 != xor(xor(X5,truth),X6) | x != X7, % 23.74/3.46 inference(strict_function_extension, [assumptions([a4])], [c7, c12])). % 23.74/3.46 % 23.74/3.46 cnf(c16, axiom, % 23.74/3.46 falsehood = xor(X8,X8)). % 23.74/3.46 cnf(a5, assumption, % 23.74/3.46 xor(X5,truth) = xor(X8,X8)). % 23.74/3.46 cnf(c17, plain, % 23.74/3.46 x != X7, % 23.74/3.46 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 23.74/3.46 cnf(c18, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 23.74/3.46 cnf(c19, plain, % 23.74/3.46 X9 != falsehood | X7 != xor(X9,X6), % 23.74/3.46 inference(strict_function_extension, [assumptions([a5])], [c15, c16])). % 23.74/3.46 % 23.74/3.46 cnf(a6, assumption, % 23.74/3.46 X9 = falsehood). % 23.74/3.46 cnf(c20, plain, % 23.74/3.46 X7 != xor(X9,X6), % 23.74/3.46 inference(reflexivity, [assumptions([a6])], [c19])). % 23.74/3.46 % 23.74/3.46 cnf(c21, axiom, % 23.74/3.46 xor(X10,X11) = xor(X11,X10)). % 23.74/3.46 cnf(a7, assumption, % 23.74/3.46 xor(X9,X6) = xor(X10,X11)). % 23.74/3.46 cnf(c22, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(strict_function_extension, [assumptions([a7])], [c20, c21])). % 23.74/3.46 cnf(c23, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(strict_function_extension, [assumptions([a7])], [c20, c21])). % 23.74/3.46 cnf(c24, plain, % 23.74/3.46 X12 != xor(X11,X10) | X7 != X12, % 23.74/3.46 inference(strict_function_extension, [assumptions([a7])], [c20, c21])). % 23.74/3.46 % 23.74/3.46 cnf(c25, axiom, % 23.74/3.46 xor(X13,falsehood) = X13). % 23.74/3.46 cnf(a8, assumption, % 23.74/3.46 xor(X11,X10) = xor(X13,falsehood)). % 23.74/3.46 cnf(c26, plain, % 23.74/3.46 X7 != X12, % 23.74/3.46 inference(strict_function_extension, [assumptions([a8])], [c24, c25])). % 23.74/3.46 cnf(c27, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(strict_function_extension, [assumptions([a8])], [c24, c25])). % 23.74/3.46 cnf(c28, plain, % 23.74/3.46 X14 != X13 | X12 != X14, % 23.74/3.46 inference(strict_function_extension, [assumptions([a8])], [c24, c25])). % 23.74/3.46 % 23.74/3.46 cnf(a9, assumption, % 23.74/3.46 X14 = X13). % 23.74/3.46 cnf(c29, plain, % 23.74/3.46 X12 != X14, % 23.74/3.46 inference(reflexivity, [assumptions([a9])], [c28])). % 23.74/3.46 % 23.74/3.46 cnf(a10, assumption, % 23.74/3.46 X12 = X14). % 23.74/3.46 cnf(c30, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(reflexivity, [assumptions([a10])], [c29])). % 23.74/3.46 % 23.74/3.46 cnf(a11, assumption, % 23.74/3.46 X7 = X12). % 23.74/3.46 cnf(c31, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(reflexivity, [assumptions([a11])], [c26])). % 23.74/3.46 % 23.74/3.46 cnf(a12, assumption, % 23.74/3.46 x = X7). % 23.74/3.46 cnf(c32, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(reflexivity, [assumptions([a12])], [c17])). % 23.74/3.46 % 23.74/3.46 cnf(c33, plain, % 23.74/3.46 $false, % 23.74/3.46 inference(constraint_solving, [ % 23.74/3.46 bind(X0, truth), % 23.74/3.46 bind(X1, xor(truth,x)), % 23.74/3.46 bind(X2, xor(truth,x)), % 23.74/3.46 bind(X3, xor(truth,x)), % 23.74/3.46 bind(X4, xor(truth,x)), % 23.74/3.46 bind(X5, truth), % 23.74/3.46 bind(X6, x), % 23.74/3.46 bind(X7, x), % 23.74/3.46 bind(X8, truth), % 23.74/3.46 bind(X9, falsehood), % 23.74/3.46 bind(X10, falsehood), % 23.74/3.46 bind(X11, x), % 23.74/3.46 bind(X12, x), % 23.74/3.46 bind(X13, x), % 23.74/3.46 bind(X14, x) % 23.74/3.46 ], % 23.74/3.46 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12])). % 23.74/3.46 % 23.74/3.46 % SZS output end IncompleteProof %------------------------------------------------------------------------------