%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET790+4 : TPTP v8.1.0. Released v3.2.0. % 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 : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Tue Jul 19 02:48:08 EDT 2022 % Result : Theorem 146.65s 19.82s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SET790+4 : TPTP v8.1.0. Released v3.2.0. % 0.10/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.12/0.33 % Computer : n012.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jul 10 09:28:58 EDT 2022 % 0.12/0.33 % CPUTime : % 146.65/19.82 % SZS status Theorem % 146.65/19.82 % SZS output begin IncompleteProof % 146.65/19.82 cnf(c0, axiom, % 146.65/19.82 least(sK28,sK26,sK27)). % 146.65/19.82 cnf(c1, plain, % 146.65/19.82 least(sK28,sK26,sK27), % 146.65/19.82 inference(start, [], [c0])). % 146.65/19.82 % 146.65/19.82 cnf(c2, axiom, % 146.65/19.82 sP5(X0,X1,X2) | ~least(X0,X1,X2)). % 146.65/19.82 cnf(a0, assumption, % 146.65/19.82 sK28 = X0). % 146.65/19.82 cnf(a1, assumption, % 146.65/19.82 sK26 = X1). % 146.65/19.82 cnf(a2, assumption, % 146.65/19.82 sK27 = X2). % 146.65/19.82 cnf(c3, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 146.65/19.82 cnf(c4, plain, % 146.65/19.82 sP5(X0,X1,X2), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 146.65/19.82 % 146.65/19.82 cnf(c5, axiom, % 146.65/19.82 apply(X3,X4,X5) | ~member(X5,X6) | ~sP5(X4,X3,X6)). % 146.65/19.82 cnf(a3, assumption, % 146.65/19.82 X0 = X4). % 146.65/19.82 cnf(a4, assumption, % 146.65/19.82 X1 = X3). % 146.65/19.82 cnf(a5, assumption, % 146.65/19.82 X2 = X6). % 146.65/19.82 cnf(c6, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 146.65/19.82 cnf(c7, plain, % 146.65/19.82 apply(X3,X4,X5) | ~member(X5,X6), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 146.65/19.82 % 146.65/19.82 cnf(c8, axiom, % 146.65/19.82 X7 = X8 | ~apply(X9,X8,X7) | ~apply(X9,X7,X8) | ~member(X8,X10) | ~member(X7,X10) | ~sP0(X9,X10)). % 146.65/19.82 cnf(a6, assumption, % 146.65/19.82 X3 = X9). % 146.65/19.82 cnf(a7, assumption, % 146.65/19.82 X4 = X7). % 146.65/19.82 cnf(a8, assumption, % 146.65/19.82 X5 = X8). % 146.65/19.82 cnf(c9, plain, % 146.65/19.82 ~member(X5,X6), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 146.65/19.82 cnf(c10, plain, % 146.65/19.82 X7 = X8 | ~apply(X9,X8,X7) | ~member(X8,X10) | ~member(X7,X10) | ~sP0(X9,X10), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 146.65/19.82 % 146.65/19.82 cnf(c11, axiom, % 146.65/19.82 sK28 != sK29). % 146.65/19.82 cnf(a9, assumption, % 146.65/19.82 sK29 = X8). % 146.65/19.82 cnf(c12, plain, % 146.65/19.82 ~apply(X9,X8,X7) | ~member(X8,X10) | ~member(X7,X10) | ~sP0(X9,X10), % 146.65/19.82 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])). % 146.65/19.82 cnf(c13, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])). % 146.65/19.82 cnf(c14, plain, % 146.65/19.82 sK28 != X7, % 146.65/19.82 inference(strict_subterm_extension, [assumptions([a9])], [c10, c11])). % 146.65/19.82 % 146.65/19.82 cnf(a10, assumption, % 146.65/19.82 sK28 = X7). % 146.65/19.82 cnf(c15, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(reflexivity, [assumptions([a10])], [c14])). % 146.65/19.82 % 146.65/19.82 cnf(c16, axiom, % 146.65/19.82 apply(X11,X12,X13) | ~member(X13,X14) | ~sP5(X12,X11,X14)). % 146.65/19.82 cnf(a11, assumption, % 146.65/19.82 X9 = X11). % 146.65/19.82 cnf(a12, assumption, % 146.65/19.82 X8 = X12). % 146.65/19.82 cnf(a13, assumption, % 146.65/19.82 X7 = X13). % 146.65/19.82 cnf(c17, plain, % 146.65/19.82 ~member(X8,X10) | ~member(X7,X10) | ~sP0(X9,X10), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c12, c16])). % 146.65/19.82 cnf(c18, plain, % 146.65/19.82 ~member(X13,X14) | ~sP5(X12,X11,X14), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c12, c16])). % 146.65/19.82 % 146.65/19.82 cnf(c19, axiom, % 146.65/19.82 member(X15,X16) | ~sP5(X15,X17,X16)). % 146.65/19.82 cnf(a14, assumption, % 146.65/19.82 X13 = X15). % 146.65/19.82 cnf(a15, assumption, % 146.65/19.82 X14 = X16). % 146.65/19.82 cnf(c20, plain, % 146.65/19.82 ~sP5(X12,X11,X14), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a14, a15])], [c18, c19])). % 146.65/19.82 cnf(c21, plain, % 146.65/19.82 ~sP5(X15,X17,X16), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a14, a15])], [c18, c19])). % 146.65/19.82 % 146.65/19.82 cnf(c22, plain, % 146.65/19.82 sP5(X0,X1,X2)). % 146.65/19.82 cnf(a16, assumption, % 146.65/19.82 X15 = X0). % 146.65/19.82 cnf(a17, assumption, % 146.65/19.82 X17 = X1). % 146.65/19.82 cnf(a18, assumption, % 146.65/19.82 X16 = X2). % 146.65/19.82 cnf(c23, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(predicate_reduction, [assumptions([a16, a17, a18])], [c21, c22])). % 146.65/19.82 % 146.65/19.82 cnf(c24, axiom, % 146.65/19.82 sP5(X18,X19,X20) | ~least(X18,X19,X20)). % 146.65/19.82 cnf(a19, assumption, % 146.65/19.82 X12 = X18). % 146.65/19.82 cnf(a20, assumption, % 146.65/19.82 X11 = X19). % 146.65/19.82 cnf(a21, assumption, % 146.65/19.82 X14 = X20). % 146.65/19.82 cnf(c25, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c20, c24])). % 146.65/19.82 cnf(c26, plain, % 146.65/19.82 ~least(X18,X19,X20), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c20, c24])). % 146.65/19.82 % 146.65/19.82 cnf(c27, axiom, % 146.65/19.82 least(sK29,sK26,sK27)). % 146.65/19.82 cnf(a22, assumption, % 146.65/19.82 X18 = sK29). % 146.65/19.82 cnf(a23, assumption, % 146.65/19.82 X19 = sK26). % 146.65/19.82 cnf(a24, assumption, % 146.65/19.82 X20 = sK27). % 146.65/19.82 cnf(c28, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c26, c27])). % 146.65/19.82 cnf(c29, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c26, c27])). % 146.65/19.82 % 146.65/19.82 cnf(c30, axiom, % 146.65/19.82 member(X21,X22) | ~sP5(X21,X23,X22)). % 146.65/19.82 cnf(a25, assumption, % 146.65/19.82 X8 = X21). % 146.65/19.82 cnf(a26, assumption, % 146.65/19.82 X10 = X22). % 146.65/19.82 cnf(c31, plain, % 146.65/19.82 ~member(X7,X10) | ~sP0(X9,X10), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a25, a26])], [c17, c30])). % 146.65/19.82 cnf(c32, plain, % 146.65/19.82 ~sP5(X21,X23,X22), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a25, a26])], [c17, c30])). % 146.65/19.82 % 146.65/19.82 cnf(c33, plain, % 146.65/19.82 sP5(X12,X11,X14)). % 146.65/19.82 cnf(a27, assumption, % 146.65/19.82 X21 = X12). % 146.65/19.82 cnf(a28, assumption, % 146.65/19.82 X23 = X11). % 146.65/19.82 cnf(a29, assumption, % 146.65/19.82 X22 = X14). % 146.65/19.82 cnf(c34, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(predicate_reduction, [assumptions([a27, a28, a29])], [c32, c33])). % 146.65/19.82 % 146.65/19.82 cnf(c35, plain, % 146.65/19.82 member(X13,X14)). % 146.65/19.82 cnf(a30, assumption, % 146.65/19.82 X7 = X13). % 146.65/19.82 cnf(a31, assumption, % 146.65/19.82 X10 = X14). % 146.65/19.82 cnf(c36, plain, % 146.65/19.82 ~sP0(X9,X10), % 146.65/19.82 inference(predicate_reduction, [assumptions([a30, a31])], [c31, c35])). % 146.65/19.82 % 146.65/19.82 cnf(c37, axiom, % 146.65/19.82 sP0(X24,X25) | ~sP2(X25,X24)). % 146.65/19.82 cnf(a32, assumption, % 146.65/19.82 X9 = X24). % 146.65/19.82 cnf(a33, assumption, % 146.65/19.82 X10 = X25). % 146.65/19.82 cnf(c38, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a32, a33])], [c36, c37])). % 146.65/19.82 cnf(c39, plain, % 146.65/19.82 ~sP2(X25,X24), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a32, a33])], [c36, c37])). % 146.65/19.82 % 146.65/19.82 cnf(c40, axiom, % 146.65/19.82 sP2(X26,X27) | ~order(X27,X26)). % 146.65/19.82 cnf(a34, assumption, % 146.65/19.82 X25 = X26). % 146.65/19.82 cnf(a35, assumption, % 146.65/19.82 X24 = X27). % 146.65/19.82 cnf(c41, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a34, a35])], [c39, c40])). % 146.65/19.82 cnf(c42, plain, % 146.65/19.82 ~order(X27,X26), % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a34, a35])], [c39, c40])). % 146.65/19.82 % 146.65/19.82 cnf(c43, axiom, % 146.65/19.82 order(sK26,sK27)). % 146.65/19.82 cnf(a36, assumption, % 146.65/19.82 X27 = sK26). % 146.65/19.82 cnf(a37, assumption, % 146.65/19.82 X26 = sK27). % 146.65/19.82 cnf(c44, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a36, a37])], [c42, c43])). % 146.65/19.82 cnf(c45, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(strict_predicate_extension, [assumptions([a36, a37])], [c42, c43])). % 146.65/19.82 % 146.65/19.82 cnf(c46, plain, % 146.65/19.82 member(X8,X10)). % 146.65/19.82 cnf(a38, assumption, % 146.65/19.82 X5 = X8). % 146.65/19.82 cnf(a39, assumption, % 146.65/19.82 X6 = X10). % 146.65/19.82 cnf(c47, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(predicate_reduction, [assumptions([a38, a39])], [c9, c46])). % 146.65/19.82 % 146.65/19.82 cnf(c48, plain, % 146.65/19.82 $false, % 146.65/19.82 inference(constraint_solving, [ % 146.65/19.82 bind(X0, sK28), % 146.65/19.82 bind(X1, sK26), % 146.65/19.82 bind(X2, sK27), % 146.65/19.82 bind(X3, sK26), % 146.65/19.82 bind(X4, sK28), % 146.65/19.82 bind(X5, sK29), % 146.65/19.82 bind(X6, sK27), % 146.65/19.82 bind(X7, sK28), % 146.65/19.82 bind(X8, sK29), % 146.65/19.82 bind(X9, sK26), % 146.65/19.82 bind(X10, sK27), % 146.65/19.82 bind(X11, sK26), % 146.65/19.82 bind(X12, sK29), % 146.65/19.82 bind(X13, sK28), % 146.65/19.82 bind(X14, sK27), % 146.65/19.82 bind(X15, sK28), % 146.65/19.82 bind(X16, sK27), % 146.65/19.82 bind(X17, sK26), % 146.65/19.82 bind(X18, sK29), % 146.65/19.82 bind(X19, sK26), % 146.65/19.82 bind(X20, sK27), % 146.65/19.82 bind(X21, sK29), % 146.65/19.82 bind(X22, sK27), % 146.65/19.82 bind(X23, sK26), % 146.65/19.82 bind(X24, sK26), % 146.65/19.82 bind(X25, sK27), % 146.65/19.82 bind(X26, sK27), % 146.65/19.82 bind(X27, sK26) % 146.65/19.82 ], % 146.65/19.82 [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])). % 146.65/19.82 % 146.65/19.82 % SZS output end IncompleteProof %------------------------------------------------------------------------------