%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : LCL650+1.001 : 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 : n007.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 12:29:00 PM UTC 2026 % Result : Theorem 24.93s 3.54s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.03 % Problem : LCL650+1.001 : 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 : n007.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 19:57:25 UTC 2026 % 0.10/0.35 % CPUTime : % 24.93/3.54 % SZS status Theorem % 24.93/3.54 % SZS output begin IncompleteProof % 24.93/3.54 cnf(c0, axiom, % 24.93/3.54 r1(sK17,sK18)). % 24.93/3.54 cnf(c1, plain, % 24.93/3.54 r1(sK17,sK18), % 24.93/3.54 inference(start, [], [c0])). % 24.93/3.54 % 24.93/3.54 cnf(c2, axiom, % 24.93/3.54 p2(X0) | p1(X0) | ~r1(X1,X0) | ~r1(X2,X1) | ~sP2(X2)). % 24.93/3.54 cnf(a0, assumption, % 24.93/3.54 sK17 = X1). % 24.93/3.54 cnf(a1, assumption, % 24.93/3.54 sK18 = X0). % 24.93/3.54 cnf(c3, plain, % 24.93/3.54 $false, % 24.93/3.54 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 24.93/3.54 cnf(c4, plain, % 24.93/3.54 p2(X0) | p1(X0) | ~r1(X2,X1) | ~sP2(X2), % 24.93/3.54 inference(strict_predicate_extension, [assumptions([a0, a1])], [c1, c2])). % 24.93/3.54 % 24.93/3.54 cnf(c5, axiom, % 24.93/3.54 ~p1(X3) | ~p2(X3) | ~r1(X4,X3) | ~r1(X5,X4) | ~sP2(X5)). % 24.93/3.54 cnf(a2, assumption, % 24.93/3.54 X0 = X3). % 24.93/3.54 cnf(c6, plain, % 24.93/3.54 p1(X0) | ~r1(X2,X1) | ~sP2(X2), % 24.93/3.54 inference(strict_predicate_extension, [assumptions([a2])], [c4, c5])). % 24.93/3.54 cnf(c7, plain, % 24.93/3.54 ~p1(X3) | ~r1(X4,X3) | ~r1(X5,X4) | ~sP2(X5), % 24.93/3.54 inference(strict_predicate_extension, [assumptions([a2])], [c4, c5])). % 24.93/3.54 % 24.93/3.54 cnf(c8, axiom, % 24.93/3.54 p1(X6) | p3(X6) | ~r1(X7,X6) | ~r1(X8,X7) | ~r1(X9,X8) | ~sP4(X9)). % 24.93/3.54 cnf(a3, assumption, % 24.93/3.54 X3 = X6). % 24.93/3.54 cnf(c9, plain, % 24.93/3.54 ~r1(X4,X3) | ~r1(X5,X4) | ~sP2(X5), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a3])], [c7, c8])). % 24.93/3.55 cnf(c10, plain, % 24.93/3.55 p3(X6) | ~r1(X7,X6) | ~r1(X8,X7) | ~r1(X9,X8) | ~sP4(X9), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a3])], [c7, c8])). % 24.93/3.55 % 24.93/3.55 cnf(c11, axiom, % 24.93/3.55 ~p2(X10) | ~p3(X10) | ~r1(X11,X10) | ~r1(X12,X11) | ~sP0(X12)). % 24.93/3.55 cnf(a4, assumption, % 24.93/3.55 X6 = X10). % 24.93/3.55 cnf(c12, plain, % 24.93/3.55 ~r1(X7,X6) | ~r1(X8,X7) | ~r1(X9,X8) | ~sP4(X9), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a4])], [c10, c11])). % 24.93/3.55 cnf(c13, plain, % 24.93/3.55 ~p2(X10) | ~r1(X11,X10) | ~r1(X12,X11) | ~sP0(X12), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a4])], [c10, c11])). % 24.93/3.55 % 24.93/3.55 cnf(c14, plain, % 24.93/3.55 p2(X0)). % 24.93/3.55 cnf(a5, assumption, % 24.93/3.55 X10 = X0). % 24.93/3.55 cnf(c15, plain, % 24.93/3.55 ~r1(X11,X10) | ~r1(X12,X11) | ~sP0(X12), % 24.93/3.55 inference(predicate_reduction, [assumptions([a5])], [c13, c14])). % 24.93/3.55 % 24.93/3.55 cnf(c16, plain, % 24.93/3.55 r1(sK17,sK18)). % 24.93/3.55 cnf(a6, assumption, % 24.93/3.55 X11 = sK17). % 24.93/3.55 cnf(a7, assumption, % 24.93/3.55 X10 = sK18). % 24.93/3.55 cnf(c17, plain, % 24.93/3.55 ~r1(X12,X11) | ~sP0(X12), % 24.93/3.55 inference(predicate_reduction, [assumptions([a6, a7])], [c15, c16])). % 24.93/3.55 % 24.93/3.55 cnf(c18, axiom, % 24.93/3.55 r1(sK16,sK17)). % 24.93/3.55 cnf(a8, assumption, % 24.93/3.55 X12 = sK16). % 24.93/3.55 cnf(a9, assumption, % 24.93/3.55 X11 = sK17). % 24.93/3.55 cnf(c19, plain, % 24.93/3.55 ~sP0(X12), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a8, a9])], [c17, c18])). % 24.93/3.55 cnf(c20, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a8, a9])], [c17, c18])). % 24.93/3.55 % 24.93/3.55 cnf(c21, axiom, % 24.93/3.55 sP0(X13) | ~sP3(X13)). % 24.93/3.55 cnf(a10, assumption, % 24.93/3.55 X12 = X13). % 24.93/3.55 cnf(c22, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a10])], [c19, c21])). % 24.93/3.55 cnf(c23, plain, % 24.93/3.55 ~sP3(X13), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a10])], [c19, c21])). % 24.93/3.55 % 24.93/3.55 cnf(c24, axiom, % 24.93/3.55 sP3(X14) | ~r1(X15,X14) | ~sP6(X15)). % 24.93/3.55 cnf(a11, assumption, % 24.93/3.55 X13 = X14). % 24.93/3.55 cnf(c25, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a11])], [c23, c24])). % 24.93/3.55 cnf(c26, plain, % 24.93/3.55 ~r1(X15,X14) | ~sP6(X15), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a11])], [c23, c24])). % 24.93/3.55 % 24.93/3.55 cnf(c27, axiom, % 24.93/3.55 r1(sK15,sK16)). % 24.93/3.55 cnf(a12, assumption, % 24.93/3.55 X15 = sK15). % 24.93/3.55 cnf(a13, assumption, % 24.93/3.55 X14 = sK16). % 24.93/3.55 cnf(c28, plain, % 24.93/3.55 ~sP6(X15), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a12, a13])], [c26, c27])). % 24.93/3.55 cnf(c29, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a12, a13])], [c26, c27])). % 24.93/3.55 % 24.93/3.55 cnf(c30, axiom, % 24.93/3.55 sP6(X16) | ~r1(sK9,X16)). % 24.93/3.55 cnf(a14, assumption, % 24.93/3.55 X15 = X16). % 24.93/3.55 cnf(c31, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a14])], [c28, c30])). % 24.93/3.55 cnf(c32, plain, % 24.93/3.55 ~r1(sK9,X16), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a14])], [c28, c30])). % 24.93/3.55 % 24.93/3.55 cnf(c33, axiom, % 24.93/3.55 r1(sK9,sK15)). % 24.93/3.55 cnf(a15, assumption, % 24.93/3.55 sK9 = sK9). % 24.93/3.55 cnf(a16, assumption, % 24.93/3.55 X16 = sK15). % 24.93/3.55 cnf(c34, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a15, a16])], [c32, c33])). % 24.93/3.55 cnf(c35, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a15, a16])], [c32, c33])). % 24.93/3.55 % 24.93/3.55 cnf(c36, plain, % 24.93/3.55 r1(sK17,sK18)). % 24.93/3.55 cnf(a17, assumption, % 24.93/3.55 X7 = sK17). % 24.93/3.55 cnf(a18, assumption, % 24.93/3.55 X6 = sK18). % 24.93/3.55 cnf(c37, plain, % 24.93/3.55 ~r1(X8,X7) | ~r1(X9,X8) | ~sP4(X9), % 24.93/3.55 inference(predicate_reduction, [assumptions([a17, a18])], [c12, c36])). % 24.93/3.55 % 24.93/3.55 cnf(c38, plain, % 24.93/3.55 r1(X12,X11)). % 24.93/3.55 cnf(a19, assumption, % 24.93/3.55 X8 = X12). % 24.93/3.55 cnf(a20, assumption, % 24.93/3.55 X7 = X11). % 24.93/3.55 cnf(c39, plain, % 24.93/3.55 ~r1(X9,X8) | ~sP4(X9), % 24.93/3.55 inference(predicate_reduction, [assumptions([a19, a20])], [c37, c38])). % 24.93/3.55 % 24.93/3.55 cnf(c40, plain, % 24.93/3.55 r1(X15,X14)). % 24.93/3.55 cnf(a21, assumption, % 24.93/3.55 X9 = X15). % 24.93/3.55 cnf(a22, assumption, % 24.93/3.55 X8 = X14). % 24.93/3.55 cnf(c41, plain, % 24.93/3.55 ~sP4(X9), % 24.93/3.55 inference(predicate_reduction, [assumptions([a21, a22])], [c39, c40])). % 24.93/3.55 % 24.93/3.55 cnf(c42, axiom, % 24.93/3.55 sP4(X17) | ~sP6(X17)). % 24.93/3.55 cnf(a23, assumption, % 24.93/3.55 X9 = X17). % 24.93/3.55 cnf(c43, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a23])], [c41, c42])). % 24.93/3.55 cnf(c44, plain, % 24.93/3.55 ~sP6(X17), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a23])], [c41, c42])). % 24.93/3.55 % 24.93/3.55 cnf(c45, plain, % 24.93/3.55 sP6(X15)). % 24.93/3.55 cnf(a24, assumption, % 24.93/3.55 X17 = X15). % 24.93/3.55 cnf(c46, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(predicate_reduction, [assumptions([a24])], [c44, c45])). % 24.93/3.55 % 24.93/3.55 cnf(c47, plain, % 24.93/3.55 r1(sK17,sK18)). % 24.93/3.55 cnf(a25, assumption, % 24.93/3.55 X4 = sK17). % 24.93/3.55 cnf(a26, assumption, % 24.93/3.55 X3 = sK18). % 24.93/3.55 cnf(c48, plain, % 24.93/3.55 ~r1(X5,X4) | ~sP2(X5), % 24.93/3.55 inference(predicate_reduction, [assumptions([a25, a26])], [c9, c47])). % 24.93/3.55 % 24.93/3.55 cnf(c49, plain, % 24.93/3.55 r1(X12,X11)). % 24.93/3.55 cnf(a27, assumption, % 24.93/3.55 X5 = X12). % 24.93/3.55 cnf(a28, assumption, % 24.93/3.55 X4 = X11). % 24.93/3.55 cnf(c50, plain, % 24.93/3.55 ~sP2(X5), % 24.93/3.55 inference(predicate_reduction, [assumptions([a27, a28])], [c48, c49])). % 24.93/3.55 % 24.93/3.55 cnf(c51, axiom, % 24.93/3.55 sP2(X18) | ~sP3(X18)). % 24.93/3.55 cnf(a29, assumption, % 24.93/3.55 X5 = X18). % 24.93/3.55 cnf(c52, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a29])], [c50, c51])). % 24.93/3.55 cnf(c53, plain, % 24.93/3.55 ~sP3(X18), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a29])], [c50, c51])). % 24.93/3.55 % 24.93/3.55 cnf(c54, plain, % 24.93/3.55 sP3(X13)). % 24.93/3.55 cnf(a30, assumption, % 24.93/3.55 X18 = X13). % 24.93/3.55 cnf(c55, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(predicate_reduction, [assumptions([a30])], [c53, c54])). % 24.93/3.55 % 24.93/3.55 cnf(c56, axiom, % 24.93/3.55 ~p3(X19) | ~p1(X19) | ~r1(X20,X19) | ~r1(X21,X20) | ~r1(X22,X21) | ~sP4(X22)). % 24.93/3.55 cnf(a31, assumption, % 24.93/3.55 X0 = X19). % 24.93/3.55 cnf(c57, plain, % 24.93/3.55 ~r1(X2,X1) | ~sP2(X2), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a31])], [c6, c56])). % 24.93/3.55 cnf(c58, plain, % 24.93/3.55 ~p3(X19) | ~r1(X20,X19) | ~r1(X21,X20) | ~r1(X22,X21) | ~sP4(X22), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a31])], [c6, c56])). % 24.93/3.55 % 24.93/3.55 cnf(c59, axiom, % 24.93/3.55 p3(X23) | p2(X23) | ~r1(X24,X23) | ~r1(X25,X24) | ~sP0(X25)). % 24.93/3.55 cnf(a32, assumption, % 24.93/3.55 X19 = X23). % 24.93/3.55 cnf(c60, plain, % 24.93/3.55 ~r1(X20,X19) | ~r1(X21,X20) | ~r1(X22,X21) | ~sP4(X22), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a32])], [c58, c59])). % 24.93/3.55 cnf(c61, plain, % 24.93/3.55 p2(X23) | ~r1(X24,X23) | ~r1(X25,X24) | ~sP0(X25), % 24.93/3.55 inference(strict_predicate_extension, [assumptions([a32])], [c58, c59])). % 24.93/3.55 % 24.93/3.55 cnf(c62, plain, % 24.93/3.55 ~p2(X0)). % 24.93/3.55 cnf(a33, assumption, % 24.93/3.55 X23 = X0). % 24.93/3.55 cnf(c63, plain, % 24.93/3.55 ~r1(X24,X23) | ~r1(X25,X24) | ~sP0(X25), % 24.93/3.55 inference(predicate_reduction, [assumptions([a33])], [c61, c62])). % 24.93/3.55 % 24.93/3.55 cnf(c64, plain, % 24.93/3.55 r1(sK17,sK18)). % 24.93/3.55 cnf(a34, assumption, % 24.93/3.55 X24 = sK17). % 24.93/3.55 cnf(a35, assumption, % 24.93/3.55 X23 = sK18). % 24.93/3.55 cnf(c65, plain, % 24.93/3.55 ~r1(X25,X24) | ~sP0(X25), % 24.93/3.55 inference(predicate_reduction, [assumptions([a34, a35])], [c63, c64])). % 24.93/3.55 % 24.93/3.55 cnf(c66, plain, % 24.93/3.55 r1(X12,X11)). % 24.93/3.55 cnf(a36, assumption, % 24.93/3.55 X25 = X12). % 24.93/3.55 cnf(a37, assumption, % 24.93/3.55 X24 = X11). % 24.93/3.55 cnf(c67, plain, % 24.93/3.55 ~sP0(X25), % 24.93/3.55 inference(predicate_reduction, [assumptions([a36, a37])], [c65, c66])). % 24.93/3.55 % 24.93/3.55 cnf(c68, plain, % 24.93/3.55 sP0(X12)). % 24.93/3.55 cnf(a38, assumption, % 24.93/3.55 X25 = X12). % 24.93/3.55 cnf(c69, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(predicate_reduction, [assumptions([a38])], [c67, c68])). % 24.93/3.55 % 24.93/3.55 cnf(c70, plain, % 24.93/3.55 r1(sK17,sK18)). % 24.93/3.55 cnf(a39, assumption, % 24.93/3.55 X20 = sK17). % 24.93/3.55 cnf(a40, assumption, % 24.93/3.55 X19 = sK18). % 24.93/3.55 cnf(c71, plain, % 24.93/3.55 ~r1(X21,X20) | ~r1(X22,X21) | ~sP4(X22), % 24.93/3.55 inference(predicate_reduction, [assumptions([a39, a40])], [c60, c70])). % 24.93/3.55 % 24.93/3.55 cnf(c72, plain, % 24.93/3.55 r1(X12,X11)). % 24.93/3.55 cnf(a41, assumption, % 24.93/3.55 X21 = X12). % 24.93/3.55 cnf(a42, assumption, % 24.93/3.55 X20 = X11). % 24.93/3.55 cnf(c73, plain, % 24.93/3.55 ~r1(X22,X21) | ~sP4(X22), % 24.93/3.55 inference(predicate_reduction, [assumptions([a41, a42])], [c71, c72])). % 24.93/3.55 % 24.93/3.55 cnf(c74, plain, % 24.93/3.55 r1(X15,X14)). % 24.93/3.55 cnf(a43, assumption, % 24.93/3.55 X22 = X15). % 24.93/3.55 cnf(a44, assumption, % 24.93/3.55 X21 = X14). % 24.93/3.55 cnf(c75, plain, % 24.93/3.55 ~sP4(X22), % 24.93/3.55 inference(predicate_reduction, [assumptions([a43, a44])], [c73, c74])). % 24.93/3.55 % 24.93/3.55 cnf(c76, plain, % 24.93/3.55 sP4(X9)). % 24.93/3.55 cnf(a45, assumption, % 24.93/3.55 X22 = X9). % 24.93/3.55 cnf(c77, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(predicate_reduction, [assumptions([a45])], [c75, c76])). % 24.93/3.55 % 24.93/3.55 cnf(c78, plain, % 24.93/3.55 r1(X12,X11)). % 24.93/3.55 cnf(a46, assumption, % 24.93/3.55 X2 = X12). % 24.93/3.55 cnf(a47, assumption, % 24.93/3.55 X1 = X11). % 24.93/3.55 cnf(c79, plain, % 24.93/3.55 ~sP2(X2), % 24.93/3.55 inference(predicate_reduction, [assumptions([a46, a47])], [c57, c78])). % 24.93/3.55 % 24.93/3.55 cnf(c80, plain, % 24.93/3.55 sP2(X5)). % 24.93/3.55 cnf(a48, assumption, % 24.93/3.55 X2 = X5). % 24.93/3.55 cnf(c81, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(predicate_reduction, [assumptions([a48])], [c79, c80])). % 24.93/3.55 % 24.93/3.55 cnf(c82, plain, % 24.93/3.55 $false, % 24.93/3.55 inference(constraint_solving, [ % 24.93/3.55 bind(X0, sK18), % 24.93/3.55 bind(X1, sK17), % 24.93/3.55 bind(X2, sK16), % 24.93/3.55 bind(X3, sK18), % 24.93/3.55 bind(X4, sK17), % 24.93/3.55 bind(X5, sK16), % 24.93/3.55 bind(X6, sK18), % 24.93/3.55 bind(X7, sK17), % 24.93/3.55 bind(X8, sK16), % 24.93/3.55 bind(X9, sK15), % 24.93/3.55 bind(X10, sK18), % 24.93/3.55 bind(X11, sK17), % 24.93/3.55 bind(X12, sK16), % 24.93/3.55 bind(X13, sK16), % 24.93/3.55 bind(X14, sK16), % 24.93/3.55 bind(X15, sK15), % 24.93/3.55 bind(X16, sK15), % 24.93/3.55 bind(X17, sK15), % 24.93/3.55 bind(X18, sK16), % 24.93/3.55 bind(X19, sK18), % 24.93/3.55 bind(X20, sK17), % 24.93/3.55 bind(X21, sK16), % 24.93/3.55 bind(X22, sK15), % 24.93/3.55 bind(X23, sK18), % 24.93/3.55 bind(X24, sK17), % 24.93/3.55 bind(X25, sK16) % 24.93/3.55 ], % 24.93/3.55 [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, a44, a45, a46, a47, a48])). % 24.93/3.55 % 24.93/3.55 % SZS output end IncompleteProof %------------------------------------------------------------------------------