%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL656+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 : n012.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 12:29:02 PM UTC 2026 % Result : Theorem 63.15s 8.67s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.01 % Problem : LCL656+1.005 : TPTP v9.3.1. Released v4.0.0. % 0.00/0.02 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.03/0.30 % Computer : n012.cluster.edu % 0.03/0.30 % Model : x86_64 x86_64 % 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.03/0.30 % Memory : 8046.5625MB % 0.03/0.30 % OS : Linux 6.8.0-71-generic % 0.03/0.30 % CPULimit : 300 % 0.03/0.30 % WCLimit : 300 % 0.03/0.30 % DateTime : Sat Sep 5 17:24:57 UTC 2026 % 0.03/0.30 % CPUTime : % 63.15/8.67 % SZS status Theorem % 63.15/8.67 % SZS output begin IncompleteProof % 63.15/8.67 cnf(c0, axiom, % 63.15/8.67 p3(X0) | ~r1(X1,X0) | ~r1(X2,X1) | ~r1(X3,X2) | ~r1(X4,X3) | ~r1(sK32,X4)). % 63.15/8.67 cnf(c1, plain, % 63.15/8.67 p3(X0) | ~r1(X1,X0) | ~r1(X2,X1) | ~r1(X3,X2) | ~r1(X4,X3) | ~r1(sK32,X4), % 63.15/8.67 inference(start, [], [c0])). % 63.15/8.67 % 63.15/8.67 cnf(c2, axiom, % 63.15/8.67 ~p3(sK25(X5)) | ~sP6(X5)). % 63.15/8.67 cnf(a0, assumption, % 63.15/8.67 X0 = sK25(X5)). % 63.15/8.67 cnf(c3, plain, % 63.15/8.67 ~r1(X1,X0) | ~r1(X2,X1) | ~r1(X3,X2) | ~r1(X4,X3) | ~r1(sK32,X4), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 63.15/8.67 cnf(c4, plain, % 63.15/8.67 ~sP6(X5), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a0])], [c1, c2])). % 63.15/8.67 % 63.15/8.67 cnf(c5, axiom, % 63.15/8.67 ~p101(X6) | p102(X6) | sP6(X6) | ~sP13(X6)). % 63.15/8.67 cnf(a1, assumption, % 63.15/8.67 X5 = X6). % 63.15/8.67 cnf(c6, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 63.15/8.67 cnf(c7, plain, % 63.15/8.67 ~p101(X6) | p102(X6) | ~sP13(X6), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a1])], [c4, c5])). % 63.15/8.67 % 63.15/8.67 cnf(c8, axiom, % 63.15/8.67 p101(sK23(X7)) | ~sP8(X7)). % 63.15/8.67 cnf(a2, assumption, % 63.15/8.67 X6 = sK23(X7)). % 63.15/8.67 cnf(c9, plain, % 63.15/8.67 p102(X6) | ~sP13(X6), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 63.15/8.67 cnf(c10, plain, % 63.15/8.67 ~sP8(X7), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a2])], [c7, c8])). % 63.15/8.67 % 63.15/8.67 cnf(c11, axiom, % 63.15/8.67 ~p100(X8) | p101(X8) | sP8(X8) | ~sP14(X8)). % 63.15/8.67 cnf(a3, assumption, % 63.15/8.67 X7 = X8). % 63.15/8.67 cnf(c12, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 63.15/8.67 cnf(c13, plain, % 63.15/8.67 ~p100(X8) | p101(X8) | ~sP14(X8), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a3])], [c10, c11])). % 63.15/8.67 % 63.15/8.67 cnf(c14, axiom, % 63.15/8.67 p100(sK32)). % 63.15/8.67 cnf(a4, assumption, % 63.15/8.67 X8 = sK32). % 63.15/8.67 cnf(c15, plain, % 63.15/8.67 p101(X8) | ~sP14(X8), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 63.15/8.67 cnf(c16, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a4])], [c13, c14])). % 63.15/8.67 % 63.15/8.67 cnf(c17, axiom, % 63.15/8.67 ~p101(sK32)). % 63.15/8.67 cnf(a5, assumption, % 63.15/8.67 X8 = sK32). % 63.15/8.67 cnf(c18, plain, % 63.15/8.67 ~sP14(X8), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])). % 63.15/8.67 cnf(c19, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a5])], [c15, c17])). % 63.15/8.67 % 63.15/8.67 cnf(c20, axiom, % 63.15/8.67 sP14(X9) | ~sP21(X9)). % 63.15/8.67 cnf(a6, assumption, % 63.15/8.67 X8 = X9). % 63.15/8.67 cnf(c21, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a6])], [c18, c20])). % 63.15/8.67 cnf(c22, plain, % 63.15/8.67 ~sP21(X9), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a6])], [c18, c20])). % 63.15/8.67 % 63.15/8.67 cnf(c23, axiom, % 63.15/8.67 sP21(X10) | ~r1(X11,X10) | ~r1(X12,X11) | ~r1(X13,X12) | ~r1(X14,X13) | ~r1(sK32,X14)). % 63.15/8.67 cnf(a7, assumption, % 63.15/8.67 X9 = X10). % 63.15/8.67 cnf(c24, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 63.15/8.67 cnf(c25, plain, % 63.15/8.67 ~r1(X11,X10) | ~r1(X12,X11) | ~r1(X13,X12) | ~r1(X14,X13) | ~r1(sK32,X14), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a7])], [c22, c23])). % 63.15/8.67 % 63.15/8.67 cnf(c26, axiom, % 63.15/8.67 r1(X15,X15)). % 63.15/8.67 cnf(a8, assumption, % 63.15/8.67 X11 = X15). % 63.15/8.67 cnf(a9, assumption, % 63.15/8.67 X10 = X15). % 63.15/8.67 cnf(c27, plain, % 63.15/8.67 ~r1(X12,X11) | ~r1(X13,X12) | ~r1(X14,X13) | ~r1(sK32,X14), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a8, a9])], [c25, c26])). % 63.15/8.67 cnf(c28, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a8, a9])], [c25, c26])). % 63.15/8.67 % 63.15/8.67 cnf(c29, plain, % 63.15/8.67 r1(X11,X10)). % 63.15/8.67 cnf(a10, assumption, % 63.15/8.67 X12 = X11). % 63.15/8.67 cnf(a11, assumption, % 63.15/8.67 X11 = X10). % 63.15/8.67 cnf(c30, plain, % 63.15/8.67 ~r1(X13,X12) | ~r1(X14,X13) | ~r1(sK32,X14), % 63.15/8.67 inference(predicate_reduction, [assumptions([a10, a11])], [c27, c29])). % 63.15/8.67 % 63.15/8.67 cnf(c31, plain, % 63.15/8.67 r1(X11,X10)). % 63.15/8.67 cnf(a12, assumption, % 63.15/8.67 X13 = X11). % 63.15/8.67 cnf(a13, assumption, % 63.15/8.67 X12 = X10). % 63.15/8.67 cnf(c32, plain, % 63.15/8.67 ~r1(X14,X13) | ~r1(sK32,X14), % 63.15/8.67 inference(predicate_reduction, [assumptions([a12, a13])], [c30, c31])). % 63.15/8.67 % 63.15/8.67 cnf(c33, plain, % 63.15/8.67 r1(X11,X10)). % 63.15/8.67 cnf(a14, assumption, % 63.15/8.67 X14 = X11). % 63.15/8.67 cnf(a15, assumption, % 63.15/8.67 X13 = X10). % 63.15/8.67 cnf(c34, plain, % 63.15/8.67 ~r1(sK32,X14), % 63.15/8.67 inference(predicate_reduction, [assumptions([a14, a15])], [c32, c33])). % 63.15/8.67 % 63.15/8.67 cnf(c35, plain, % 63.15/8.67 r1(X11,X10)). % 63.15/8.67 cnf(a16, assumption, % 63.15/8.67 sK32 = X11). % 63.15/8.67 cnf(a17, assumption, % 63.15/8.67 X14 = X10). % 63.15/8.67 cnf(c36, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(predicate_reduction, [assumptions([a16, a17])], [c34, c35])). % 63.15/8.67 % 63.15/8.67 cnf(c37, axiom, % 63.15/8.67 ~p102(sK23(X16)) | ~sP8(X16)). % 63.15/8.67 cnf(a18, assumption, % 63.15/8.67 X6 = sK23(X16)). % 63.15/8.67 cnf(c38, plain, % 63.15/8.67 ~sP13(X6), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a18])], [c9, c37])). % 63.15/8.67 cnf(c39, plain, % 63.15/8.67 ~sP8(X16), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a18])], [c9, c37])). % 63.15/8.67 % 63.15/8.67 cnf(c40, plain, % 63.15/8.67 sP8(X7)). % 63.15/8.67 cnf(a19, assumption, % 63.15/8.67 X16 = X7). % 63.15/8.67 cnf(c41, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(predicate_reduction, [assumptions([a19])], [c39, c40])). % 63.15/8.67 % 63.15/8.67 cnf(c42, axiom, % 63.15/8.67 sP13(X17) | ~sP21(X17)). % 63.15/8.67 cnf(a20, assumption, % 63.15/8.67 X6 = X17). % 63.15/8.67 cnf(c43, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a20])], [c38, c42])). % 63.15/8.67 cnf(c44, plain, % 63.15/8.67 ~sP21(X17), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a20])], [c38, c42])). % 63.15/8.67 % 63.15/8.67 cnf(c45, axiom, % 63.15/8.67 sP21(X18) | ~r1(X19,X18) | ~r1(X20,X19) | ~r1(X21,X20) | ~r1(X22,X21) | ~r1(sK32,X22)). % 63.15/8.67 cnf(a21, assumption, % 63.15/8.67 X17 = X18). % 63.15/8.67 cnf(c46, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a21])], [c44, c45])). % 63.15/8.67 cnf(c47, plain, % 63.15/8.67 ~r1(X19,X18) | ~r1(X20,X19) | ~r1(X21,X20) | ~r1(X22,X21) | ~r1(sK32,X22), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a21])], [c44, c45])). % 63.15/8.67 % 63.15/8.67 cnf(c48, axiom, % 63.15/8.67 r1(X23,X23)). % 63.15/8.67 cnf(a22, assumption, % 63.15/8.67 X19 = X23). % 63.15/8.67 cnf(a23, assumption, % 63.15/8.67 X18 = X23). % 63.15/8.67 cnf(c49, plain, % 63.15/8.67 ~r1(X20,X19) | ~r1(X21,X20) | ~r1(X22,X21) | ~r1(sK32,X22), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a22, a23])], [c47, c48])). % 63.15/8.67 cnf(c50, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a22, a23])], [c47, c48])). % 63.15/8.67 % 63.15/8.67 cnf(c51, axiom, % 63.15/8.67 r1(X24,sK23(X24)) | ~sP8(X24)). % 63.15/8.67 cnf(a24, assumption, % 63.15/8.67 X20 = X24). % 63.15/8.67 cnf(a25, assumption, % 63.15/8.67 X19 = sK23(X24)). % 63.15/8.67 cnf(c52, plain, % 63.15/8.67 ~r1(X21,X20) | ~r1(X22,X21) | ~r1(sK32,X22), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a24, a25])], [c49, c51])). % 63.15/8.67 cnf(c53, plain, % 63.15/8.67 ~sP8(X24), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a24, a25])], [c49, c51])). % 63.15/8.67 % 63.15/8.67 cnf(c54, plain, % 63.15/8.67 sP8(X7)). % 63.15/8.67 cnf(a26, assumption, % 63.15/8.67 X24 = X7). % 63.15/8.67 cnf(c55, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(predicate_reduction, [assumptions([a26])], [c53, c54])). % 63.15/8.67 % 63.15/8.67 cnf(c56, plain, % 63.15/8.67 r1(X11,X10)). % 63.15/8.67 cnf(a27, assumption, % 63.15/8.67 X21 = X11). % 63.15/8.67 cnf(a28, assumption, % 63.15/8.67 X20 = X10). % 63.15/8.67 cnf(c57, plain, % 63.15/8.67 ~r1(X22,X21) | ~r1(sK32,X22), % 63.15/8.67 inference(predicate_reduction, [assumptions([a27, a28])], [c52, c56])). % 63.15/8.67 % 63.15/8.67 cnf(c58, plain, % 63.15/8.67 r1(X11,X10)). % 63.15/8.67 cnf(a29, assumption, % 63.15/8.67 X22 = X11). % 63.15/8.67 cnf(a30, assumption, % 63.15/8.67 X21 = X10). % 63.15/8.67 cnf(c59, plain, % 63.15/8.67 ~r1(sK32,X22), % 63.15/8.67 inference(predicate_reduction, [assumptions([a29, a30])], [c57, c58])). % 63.15/8.67 % 63.15/8.67 cnf(c60, plain, % 63.15/8.67 r1(X11,X10)). % 63.15/8.67 cnf(a31, assumption, % 63.15/8.67 sK32 = X11). % 63.15/8.67 cnf(a32, assumption, % 63.15/8.67 X22 = X10). % 63.15/8.67 cnf(c61, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(predicate_reduction, [assumptions([a31, a32])], [c59, c60])). % 63.15/8.67 % 63.15/8.67 cnf(c62, axiom, % 63.15/8.67 r1(X25,sK25(X25)) | ~sP6(X25)). % 63.15/8.67 cnf(a33, assumption, % 63.15/8.67 X1 = X25). % 63.15/8.67 cnf(a34, assumption, % 63.15/8.67 X0 = sK25(X25)). % 63.15/8.67 cnf(c63, plain, % 63.15/8.67 ~r1(X2,X1) | ~r1(X3,X2) | ~r1(X4,X3) | ~r1(sK32,X4), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a33, a34])], [c3, c62])). % 63.15/8.67 cnf(c64, plain, % 63.15/8.67 ~sP6(X25), % 63.15/8.67 inference(strict_predicate_extension, [assumptions([a33, a34])], [c3, c62])). % 63.15/8.67 % 63.15/8.67 cnf(c65, plain, % 63.15/8.67 sP6(X5)). % 63.15/8.67 cnf(a35, assumption, % 63.15/8.67 X25 = X5). % 63.15/8.67 cnf(c66, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(predicate_reduction, [assumptions([a35])], [c64, c65])). % 63.15/8.67 % 63.15/8.67 cnf(c67, plain, % 63.15/8.67 r1(X20,X19)). % 63.15/8.67 cnf(a36, assumption, % 63.15/8.67 X2 = X20). % 63.15/8.67 cnf(a37, assumption, % 63.15/8.67 X1 = X19). % 63.15/8.67 cnf(c68, plain, % 63.15/8.67 ~r1(X3,X2) | ~r1(X4,X3) | ~r1(sK32,X4), % 63.15/8.67 inference(predicate_reduction, [assumptions([a36, a37])], [c63, c67])). % 63.15/8.67 % 63.15/8.67 cnf(c69, plain, % 63.15/8.67 r1(X11,X10)). % 63.15/8.67 cnf(a38, assumption, % 63.15/8.67 X3 = X11). % 63.15/8.67 cnf(a39, assumption, % 63.15/8.67 X2 = X10). % 63.15/8.67 cnf(c70, plain, % 63.15/8.67 ~r1(X4,X3) | ~r1(sK32,X4), % 63.15/8.67 inference(predicate_reduction, [assumptions([a38, a39])], [c68, c69])). % 63.15/8.67 % 63.15/8.67 cnf(c71, plain, % 63.15/8.67 r1(X11,X10)). % 63.15/8.67 cnf(a40, assumption, % 63.15/8.67 X4 = X11). % 63.15/8.67 cnf(a41, assumption, % 63.15/8.67 X3 = X10). % 63.15/8.67 cnf(c72, plain, % 63.15/8.67 ~r1(sK32,X4), % 63.15/8.67 inference(predicate_reduction, [assumptions([a40, a41])], [c70, c71])). % 63.15/8.67 % 63.15/8.67 cnf(c73, plain, % 63.15/8.67 r1(X11,X10)). % 63.15/8.67 cnf(a42, assumption, % 63.15/8.67 sK32 = X11). % 63.15/8.67 cnf(a43, assumption, % 63.15/8.67 X4 = X10). % 63.15/8.67 cnf(c74, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(predicate_reduction, [assumptions([a42, a43])], [c72, c73])). % 63.15/8.67 % 63.15/8.67 cnf(c75, plain, % 63.15/8.67 $false, % 63.15/8.67 inference(constraint_solving, [ % 63.15/8.67 bind(X0, sK25(X5)), % 63.15/8.67 bind(X1, sK23(X7)), % 63.15/8.67 bind(X2, sK32), % 63.15/8.67 bind(X3, sK32), % 63.15/8.67 bind(X4, sK32), % 63.15/8.67 bind(X5, sK23(X7)), % 63.15/8.67 bind(X6, sK23(X7)), % 63.15/8.67 bind(X7, sK32), % 63.15/8.67 bind(X8, sK32), % 63.15/8.67 bind(X9, sK32), % 63.15/8.67 bind(X10, sK32), % 63.15/8.67 bind(X11, sK32), % 63.15/8.67 bind(X12, sK32), % 63.15/8.67 bind(X13, sK32), % 63.15/8.67 bind(X14, sK32), % 63.15/8.67 bind(X15, sK32), % 63.15/8.67 bind(X16, sK32), % 63.15/8.67 bind(X17, sK23(X7)), % 63.15/8.67 bind(X18, sK23(X7)), % 63.15/8.67 bind(X19, sK23(X7)), % 63.15/8.67 bind(X20, sK32), % 63.15/8.67 bind(X21, sK32), % 63.15/8.67 bind(X22, sK32), % 63.15/8.67 bind(X23, sK23(X7)), % 63.15/8.67 bind(X24, sK32), % 63.15/8.67 bind(X25, sK23(X7)) % 63.15/8.67 ], % 63.15/8.67 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37, a38, a39, a40, a41, a42, a43])). % 63.15/8.67 % 63.15/8.67 % SZS output end IncompleteProof %------------------------------------------------------------------------------