%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n017.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 12:29:08 PM UTC 2026 % Result : Theorem 2.54s 0.73s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL674+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.04 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.10/0.35 % Computer : n017.cluster.edu % 0.10/0.35 % Model : x86_64 x86_64 % 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.35 % Memory : 8046.5625MB % 0.10/0.35 % OS : Linux 6.8.0-71-generic % 0.10/0.35 % CPULimit : 300 % 0.10/0.35 % WCLimit : 300 % 0.10/0.35 % DateTime : Sat Sep 5 02:00:51 UTC 2026 % 0.10/0.35 % CPUTime : % 2.54/0.73 % SZS status Theorem % 2.54/0.73 % SZS output begin IncompleteProof % 2.54/0.73 cnf(c0, axiom, % 2.54/0.73 sP21(X0) | ~r1(sK32,X0)). % 2.54/0.73 cnf(c1, plain, % 2.54/0.73 sP21(X0) | ~r1(sK32,X0), % 2.54/0.73 inference(start, [], [c0])). % 2.54/0.73 % 2.54/0.73 cnf(c2, axiom, % 2.54/0.73 sP13(X1) | ~sP21(X1)). % 2.54/0.73 cnf(a0, assumption, % 2.54/0.73 X0 = X1). % 2.54/0.73 cnf(c3, plain, % 2.54/0.73 ~r1(sK32,X0), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 2.54/0.73 cnf(c4, plain, % 2.54/0.73 sP13(X1), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 2.54/0.73 % 2.54/0.73 cnf(c5, axiom, % 2.54/0.73 ~p101(X2) | p102(X2) | sP6(X2) | ~sP13(X2)). % 2.54/0.73 cnf(a1, assumption, % 2.54/0.73 X1 = X2). % 2.54/0.73 cnf(c6, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 2.54/0.73 cnf(c7, plain, % 2.54/0.73 ~p101(X2) | p102(X2) | sP6(X2), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 2.54/0.73 % 2.54/0.73 cnf(c8, axiom, % 2.54/0.73 p101(sK22(X3)) | ~sP9(X3)). % 2.54/0.73 cnf(a2, assumption, % 2.54/0.73 X2 = sK22(X3)). % 2.54/0.73 cnf(c9, plain, % 2.54/0.73 p102(X2) | sP6(X2), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 2.54/0.73 cnf(c10, plain, % 2.54/0.73 ~sP9(X3), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 2.54/0.73 % 2.54/0.73 cnf(c11, axiom, % 2.54/0.73 ~p100(X4) | p101(X4) | sP9(X4) | ~sP14(X4)). % 2.54/0.73 cnf(a3, assumption, % 2.54/0.73 X3 = X4). % 2.54/0.73 cnf(c12, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 2.54/0.73 cnf(c13, plain, % 2.54/0.73 ~p100(X4) | p101(X4) | ~sP14(X4), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 2.54/0.73 % 2.54/0.73 cnf(c14, axiom, % 2.54/0.73 p100(sK32)). % 2.54/0.73 cnf(a4, assumption, % 2.54/0.73 X4 = sK32). % 2.54/0.73 cnf(c15, plain, % 2.54/0.73 p101(X4) | ~sP14(X4), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 2.54/0.73 cnf(c16, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 2.54/0.73 % 2.54/0.73 cnf(c17, axiom, % 2.54/0.73 ~p101(sK32)). % 2.54/0.73 cnf(a5, assumption, % 2.54/0.73 X4 = sK32). % 2.54/0.73 cnf(c18, plain, % 2.54/0.73 ~sP14(X4), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])). % 2.54/0.73 cnf(c19, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])). % 2.54/0.73 % 2.54/0.73 cnf(c20, axiom, % 2.54/0.73 sP14(X5) | ~sP21(X5)). % 2.54/0.73 cnf(a6, assumption, % 2.54/0.73 X4 = X5). % 2.54/0.73 cnf(c21, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a6])], [c18, c20])). % 2.54/0.73 cnf(c22, plain, % 2.54/0.73 ~sP21(X5), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a6])], [c18, c20])). % 2.54/0.73 % 2.54/0.73 cnf(c23, axiom, % 2.54/0.73 sP21(X6) | ~r1(sK32,X6)). % 2.54/0.73 cnf(a7, assumption, % 2.54/0.73 X5 = X6). % 2.54/0.73 cnf(c24, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 2.54/0.73 cnf(c25, plain, % 2.54/0.73 ~r1(sK32,X6), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 2.54/0.73 % 2.54/0.73 cnf(c26, axiom, % 2.54/0.73 r1(X7,X7)). % 2.54/0.73 cnf(a8, assumption, % 2.54/0.73 sK32 = X7). % 2.54/0.73 cnf(a9, assumption, % 2.54/0.73 X6 = X7). % 2.54/0.73 cnf(c27, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a8, a9])], [c25, c26])). % 2.54/0.73 cnf(c28, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a8, a9])], [c25, c26])). % 2.54/0.73 % 2.54/0.73 cnf(c29, axiom, % 2.54/0.73 ~p102(sK22(X8)) | ~sP9(X8)). % 2.54/0.73 cnf(a10, assumption, % 2.54/0.73 X2 = sK22(X8)). % 2.54/0.73 cnf(c30, plain, % 2.54/0.73 sP6(X2), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a10])], [c9, c29])). % 2.54/0.73 cnf(c31, plain, % 2.54/0.73 ~sP9(X8), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a10])], [c9, c29])). % 2.54/0.73 % 2.54/0.73 cnf(c32, plain, % 2.54/0.73 sP9(X3)). % 2.54/0.73 cnf(a11, assumption, % 2.54/0.73 X8 = X3). % 2.54/0.73 cnf(c33, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(predicate_reduction, [assumptions([a11])], [c31, c32])). % 2.54/0.73 % 2.54/0.73 cnf(c34, axiom, % 2.54/0.73 r1(X9,sK25(X9)) | ~sP6(X9)). % 2.54/0.73 cnf(a12, assumption, % 2.54/0.73 X2 = X9). % 2.54/0.73 cnf(c35, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a12])], [c30, c34])). % 2.54/0.73 cnf(c36, plain, % 2.54/0.73 r1(X9,sK25(X9)), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a12])], [c30, c34])). % 2.54/0.73 % 2.54/0.73 cnf(c37, axiom, % 2.54/0.73 r1(X10,X11) | ~r1(X12,X11) | ~r1(X10,X12)). % 2.54/0.73 cnf(a13, assumption, % 2.54/0.73 X9 = X12). % 2.54/0.73 cnf(a14, assumption, % 2.54/0.73 sK25(X9) = X11). % 2.54/0.73 cnf(c38, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a13, a14])], [c36, c37])). % 2.54/0.73 cnf(c39, plain, % 2.54/0.73 r1(X10,X11) | ~r1(X10,X12), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a13, a14])], [c36, c37])). % 2.54/0.73 % 2.54/0.73 cnf(c40, axiom, % 2.54/0.73 p3(X13) | ~r1(sK32,X13)). % 2.54/0.73 cnf(a15, assumption, % 2.54/0.73 X10 = sK32). % 2.54/0.73 cnf(a16, assumption, % 2.54/0.73 X11 = X13). % 2.54/0.73 cnf(c41, plain, % 2.54/0.73 ~r1(X10,X12), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a15, a16])], [c39, c40])). % 2.54/0.73 cnf(c42, plain, % 2.54/0.73 p3(X13), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a15, a16])], [c39, c40])). % 2.54/0.73 % 2.54/0.73 cnf(c43, axiom, % 2.54/0.73 ~p3(sK25(X14)) | ~sP6(X14)). % 2.54/0.73 cnf(a17, assumption, % 2.54/0.73 X13 = sK25(X14)). % 2.54/0.73 cnf(c44, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a17])], [c42, c43])). % 2.54/0.73 cnf(c45, plain, % 2.54/0.73 ~sP6(X14), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a17])], [c42, c43])). % 2.54/0.73 % 2.54/0.73 cnf(c46, plain, % 2.54/0.73 sP6(X2)). % 2.54/0.73 cnf(a18, assumption, % 2.54/0.73 X14 = X2). % 2.54/0.73 cnf(c47, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(predicate_reduction, [assumptions([a18])], [c45, c46])). % 2.54/0.73 % 2.54/0.73 cnf(c48, axiom, % 2.54/0.73 r1(X15,sK22(X15)) | ~sP9(X15)). % 2.54/0.73 cnf(a19, assumption, % 2.54/0.73 X10 = X15). % 2.54/0.73 cnf(a20, assumption, % 2.54/0.73 X12 = sK22(X15)). % 2.54/0.73 cnf(c49, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a19, a20])], [c41, c48])). % 2.54/0.73 cnf(c50, plain, % 2.54/0.73 ~sP9(X15), % 2.54/0.73 inference(strict_predicate_extension, [assumptions([a19, a20])], [c41, c48])). % 2.54/0.73 % 2.54/0.73 cnf(c51, plain, % 2.54/0.73 sP9(X3)). % 2.54/0.73 cnf(a21, assumption, % 2.54/0.73 X15 = X3). % 2.54/0.73 cnf(c52, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(predicate_reduction, [assumptions([a21])], [c50, c51])). % 2.54/0.73 % 2.54/0.73 cnf(c53, plain, % 2.54/0.73 r1(X10,X12)). % 2.54/0.73 cnf(a22, assumption, % 2.54/0.73 sK32 = X10). % 2.54/0.73 cnf(a23, assumption, % 2.54/0.73 X0 = X12). % 2.54/0.73 cnf(c54, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(predicate_reduction, [assumptions([a22, a23])], [c3, c53])). % 2.54/0.73 % 2.54/0.73 cnf(c55, plain, % 2.54/0.73 $false, % 2.54/0.73 inference(constraint_solving, [ % 2.54/0.73 bind(X0, sK22(X3)), % 2.54/0.73 bind(X1, sK22(X3)), % 2.54/0.73 bind(X2, sK22(X3)), % 2.54/0.73 bind(X3, sK32), % 2.54/0.73 bind(X4, sK32), % 2.54/0.73 bind(X5, sK32), % 2.54/0.73 bind(X6, sK32), % 2.54/0.73 bind(X7, sK32), % 2.54/0.73 bind(X8, sK32), % 2.54/0.73 bind(X9, sK22(X3)), % 2.54/0.73 bind(X10, sK32), % 2.54/0.73 bind(X11, sK25(X9)), % 2.54/0.73 bind(X12, sK22(X3)), % 2.54/0.73 bind(X13, sK25(X9)), % 2.54/0.73 bind(X14, sK22(X3)), % 2.54/0.73 bind(X15, sK32) % 2.54/0.73 ], % 2.54/0.73 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23])). % 2.54/0.73 % 2.54/0.73 % SZS output end IncompleteProof %------------------------------------------------------------------------------