%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SWX204-1 : 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 : n018.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 165.66s 21.33s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWX204-1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.15/0.33 % Computer : n018.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.33 % CPULimit : 300 % 0.15/0.33 % WCLimit : 300 % 0.15/0.33 % DateTime : Tue May 5 11:29:31 EDT 2026 % 0.15/0.33 % CPUTime : % 165.66/21.33 % SZS status Unsatisfiable % 165.66/21.33 % SZS output begin IncompleteProof % 165.66/21.33 cnf(c0, axiom, % 165.66/21.33 btrue != eq2(eq(x22(X0,X0),X0),bfalse)). % 165.66/21.33 cnf(c1, plain, % 165.66/21.33 btrue != eq2(eq(x22(X0,X0),X0),bfalse), % 165.66/21.33 inference(start, [], [c0])). % 165.66/21.33 % 165.66/21.33 cnf(c2, axiom, % 165.66/21.33 x22(s(X1),X2) = x2(X2,x22(X1,X2))). % 165.66/21.33 cnf(a0, assumption, % 165.66/21.33 x22(X0,X0) = x22(s(X1),X2)). % 165.66/21.33 cnf(c3, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 165.66/21.33 cnf(c4, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 165.66/21.33 cnf(c5, plain, % 165.66/21.33 X3 != x2(X2,x22(X1,X2)) | btrue != eq2(eq(X3,X0),bfalse), % 165.66/21.33 inference(strict_function_extension, [assumptions([a0])], [c1, c2])). % 165.66/21.33 % 165.66/21.33 cnf(c6, axiom, % 165.66/21.33 x22(s(X4),X5) = x2(X5,x22(X4,X5))). % 165.66/21.33 cnf(a1, assumption, % 165.66/21.33 x22(X1,X2) = x22(s(X4),X5)). % 165.66/21.33 cnf(c7, plain, % 165.66/21.33 btrue != eq2(eq(X3,X0),bfalse), % 165.66/21.33 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 165.66/21.33 cnf(c8, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 165.66/21.33 cnf(c9, plain, % 165.66/21.33 X6 != x2(X5,x22(X4,X5)) | X3 != x2(X2,X6), % 165.66/21.33 inference(strict_function_extension, [assumptions([a1])], [c5, c6])). % 165.66/21.33 % 165.66/21.33 cnf(c10, axiom, % 165.66/21.33 x2(s(X7),X8) = s(x2(X7,X8))). % 165.66/21.33 cnf(a2, assumption, % 165.66/21.33 x2(X5,x22(X4,X5)) = x2(s(X7),X8)). % 165.66/21.33 cnf(c11, plain, % 165.66/21.33 X3 != x2(X2,X6), % 165.66/21.33 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 165.66/21.33 cnf(c12, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 165.66/21.33 cnf(c13, plain, % 165.66/21.33 X9 != s(x2(X7,X8)) | X6 != X9, % 165.66/21.33 inference(strict_function_extension, [assumptions([a2])], [c9, c10])). % 165.66/21.33 % 165.66/21.33 cnf(a3, assumption, % 165.66/21.33 X9 = s(x2(X7,X8))). % 165.66/21.33 cnf(c14, plain, % 165.66/21.33 X6 != X9, % 165.66/21.33 inference(reflexivity, [assumptions([a3])], [c13])). % 165.66/21.33 % 165.66/21.33 cnf(a4, assumption, % 165.66/21.33 X6 = X9). % 165.66/21.33 cnf(c15, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(reflexivity, [assumptions([a4])], [c14])). % 165.66/21.33 % 165.66/21.33 cnf(c16, axiom, % 165.66/21.33 x2(s(X10),X11) = s(x2(X10,X11))). % 165.66/21.33 cnf(a5, assumption, % 165.66/21.33 x2(X2,X6) = x2(s(X10),X11)). % 165.66/21.33 cnf(c17, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a5])], [c11, c16])). % 165.66/21.33 cnf(c18, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a5])], [c11, c16])). % 165.66/21.33 cnf(c19, plain, % 165.66/21.33 X12 != s(x2(X10,X11)) | X3 != X12, % 165.66/21.33 inference(strict_function_extension, [assumptions([a5])], [c11, c16])). % 165.66/21.33 % 165.66/21.33 cnf(c20, axiom, % 165.66/21.33 x2(s(X13),X14) = s(x2(X13,X14))). % 165.66/21.33 cnf(a6, assumption, % 165.66/21.33 x2(X10,X11) = x2(s(X13),X14)). % 165.66/21.33 cnf(c21, plain, % 165.66/21.33 X3 != X12, % 165.66/21.33 inference(strict_function_extension, [assumptions([a6])], [c19, c20])). % 165.66/21.33 cnf(c22, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a6])], [c19, c20])). % 165.66/21.33 cnf(c23, plain, % 165.66/21.33 X15 != s(x2(X13,X14)) | X12 != s(X15), % 165.66/21.33 inference(strict_function_extension, [assumptions([a6])], [c19, c20])). % 165.66/21.33 % 165.66/21.33 cnf(c24, axiom, % 165.66/21.33 x2(z,X16) = X16). % 165.66/21.33 cnf(a7, assumption, % 165.66/21.33 x2(X13,X14) = x2(z,X16)). % 165.66/21.33 cnf(c25, plain, % 165.66/21.33 X12 != s(X15), % 165.66/21.33 inference(strict_function_extension, [assumptions([a7])], [c23, c24])). % 165.66/21.33 cnf(c26, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a7])], [c23, c24])). % 165.66/21.33 cnf(c27, plain, % 165.66/21.33 X17 != X16 | X15 != s(X17), % 165.66/21.33 inference(strict_function_extension, [assumptions([a7])], [c23, c24])). % 165.66/21.33 % 165.66/21.33 cnf(a8, assumption, % 165.66/21.33 X17 = X16). % 165.66/21.33 cnf(c28, plain, % 165.66/21.33 X15 != s(X17), % 165.66/21.33 inference(reflexivity, [assumptions([a8])], [c27])). % 165.66/21.33 % 165.66/21.33 cnf(a9, assumption, % 165.66/21.33 X15 = s(X17)). % 165.66/21.33 cnf(c29, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(reflexivity, [assumptions([a9])], [c28])). % 165.66/21.33 % 165.66/21.33 cnf(a10, assumption, % 165.66/21.33 X12 = s(X15)). % 165.66/21.33 cnf(c30, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(reflexivity, [assumptions([a10])], [c25])). % 165.66/21.33 % 165.66/21.33 cnf(a11, assumption, % 165.66/21.33 X3 = X12). % 165.66/21.33 cnf(c31, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(reflexivity, [assumptions([a11])], [c21])). % 165.66/21.33 % 165.66/21.33 cnf(c32, axiom, % 165.66/21.33 eq(s(X18),s(X19)) = eq(X18,X19)). % 165.66/21.33 cnf(a12, assumption, % 165.66/21.33 eq(X3,X0) = eq(s(X18),s(X19))). % 165.66/21.33 cnf(c33, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a12])], [c7, c32])). % 165.66/21.33 cnf(c34, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a12])], [c7, c32])). % 165.66/21.33 cnf(c35, plain, % 165.66/21.33 X20 != eq(X18,X19) | btrue != eq2(X20,bfalse), % 165.66/21.33 inference(strict_function_extension, [assumptions([a12])], [c7, c32])). % 165.66/21.33 % 165.66/21.33 cnf(c36, axiom, % 165.66/21.33 eq(s(X21),s(X22)) = eq(X21,X22)). % 165.66/21.33 cnf(a13, assumption, % 165.66/21.33 eq(X18,X19) = eq(s(X21),s(X22))). % 165.66/21.33 cnf(c37, plain, % 165.66/21.33 btrue != eq2(X20,bfalse), % 165.66/21.33 inference(strict_function_extension, [assumptions([a13])], [c35, c36])). % 165.66/21.33 cnf(c38, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a13])], [c35, c36])). % 165.66/21.33 cnf(c39, plain, % 165.66/21.33 X23 != eq(X21,X22) | X20 != X23, % 165.66/21.33 inference(strict_function_extension, [assumptions([a13])], [c35, c36])). % 165.66/21.33 % 165.66/21.33 cnf(c40, axiom, % 165.66/21.33 bfalse = eq(s(X24),z)). % 165.66/21.33 cnf(a14, assumption, % 165.66/21.33 eq(X21,X22) = eq(s(X24),z)). % 165.66/21.33 cnf(c41, plain, % 165.66/21.33 X20 != X23, % 165.66/21.33 inference(strict_function_extension, [assumptions([a14])], [c39, c40])). % 165.66/21.33 cnf(c42, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a14])], [c39, c40])). % 165.66/21.33 cnf(c43, plain, % 165.66/21.33 X25 != bfalse | X23 != X25, % 165.66/21.33 inference(strict_function_extension, [assumptions([a14])], [c39, c40])). % 165.66/21.33 % 165.66/21.33 cnf(a15, assumption, % 165.66/21.33 X25 = bfalse). % 165.66/21.33 cnf(c44, plain, % 165.66/21.33 X23 != X25, % 165.66/21.33 inference(reflexivity, [assumptions([a15])], [c43])). % 165.66/21.33 % 165.66/21.33 cnf(a16, assumption, % 165.66/21.33 X23 = X25). % 165.66/21.33 cnf(c45, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(reflexivity, [assumptions([a16])], [c44])). % 165.66/21.33 % 165.66/21.33 cnf(a17, assumption, % 165.66/21.33 X20 = X23). % 165.66/21.33 cnf(c46, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(reflexivity, [assumptions([a17])], [c41])). % 165.66/21.33 % 165.66/21.33 cnf(c47, axiom, % 165.66/21.33 btrue = eq2(X26,X26)). % 165.66/21.33 cnf(a18, assumption, % 165.66/21.33 eq2(X20,bfalse) = eq2(X26,X26)). % 165.66/21.33 cnf(c48, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a18])], [c37, c47])). % 165.66/21.33 cnf(c49, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(strict_function_extension, [assumptions([a18])], [c37, c47])). % 165.66/21.33 cnf(c50, plain, % 165.66/21.33 X27 != btrue | btrue != X27, % 165.66/21.33 inference(strict_function_extension, [assumptions([a18])], [c37, c47])). % 165.66/21.33 % 165.66/21.33 cnf(a19, assumption, % 165.66/21.33 X27 = btrue). % 165.66/21.33 cnf(c51, plain, % 165.66/21.33 btrue != X27, % 165.66/21.33 inference(reflexivity, [assumptions([a19])], [c50])). % 165.66/21.33 % 165.66/21.33 cnf(a20, assumption, % 165.66/21.33 btrue = X27). % 165.66/21.33 cnf(c52, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(reflexivity, [assumptions([a20])], [c51])). % 165.66/21.33 % 165.66/21.33 cnf(c53, plain, % 165.66/21.33 $false, % 165.66/21.33 inference(constraint_solving, [ % 165.66/21.33 bind(X0, s(X1)), % 165.66/21.33 bind(X1, s(X4)), % 165.66/21.33 bind(X2, s(X1)), % 165.66/21.33 bind(X3, s(X15)), % 165.66/21.33 bind(X4, z), % 165.66/21.33 bind(X5, s(X1)), % 165.66/21.33 bind(X6, s(x2(X7,X8))), % 165.66/21.33 bind(X7, s(X4)), % 165.66/21.33 bind(X8, x22(X4,X5)), % 165.66/21.33 bind(X9, s(x2(X7,X8))), % 165.66/21.33 bind(X10, s(X4)), % 165.66/21.33 bind(X11, s(x2(X7,X8))), % 165.66/21.33 bind(X12, s(X15)), % 165.66/21.33 bind(X13, z), % 165.66/21.33 bind(X14, s(x2(X7,X8))), % 165.66/21.33 bind(X15, s(X17)), % 165.66/21.33 bind(X16, s(x2(X7,X8))), % 165.66/21.33 bind(X17, s(x2(X7,X8))), % 165.66/21.33 bind(X18, s(X17)), % 165.66/21.33 bind(X19, s(X4)), % 165.66/21.33 bind(X20, bfalse), % 165.66/21.33 bind(X21, s(x2(X7,X8))), % 165.66/21.33 bind(X22, z), % 165.66/21.33 bind(X23, bfalse), % 165.66/21.33 bind(X24, x2(X7,X8)), % 165.66/21.33 bind(X25, bfalse), % 165.66/21.33 bind(X26, bfalse), % 165.66/21.33 bind(X27, btrue) % 165.66/21.33 ], % 165.66/21.33 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])). % 165.66/21.33 % 165.66/21.33 % SZS output end IncompleteProof %------------------------------------------------------------------------------