%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SET792+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 : n014.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 02:48:09 EDT 2022 % Result : Theorem 229.24s 32.42s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET792+4 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n014.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 05:28:05 EDT 2022 % 0.13/0.34 % CPUTime : % 229.24/32.42 % SZS status Theorem % 229.24/32.42 % SZS output begin IncompleteProof % 229.24/32.42 cnf(c0, axiom, % 229.24/32.42 least(sK28,sK26,sK27)). % 229.24/32.42 cnf(c1, plain, % 229.24/32.42 least(sK28,sK26,sK27), % 229.24/32.42 inference(start, [], [c0])). % 229.24/32.42 % 229.24/32.42 cnf(c2, axiom, % 229.24/32.42 sP5(X0,X1,X2) | ~least(X0,X1,X2)). % 229.24/32.42 cnf(a0, assumption, % 229.24/32.42 sK28 = X0). % 229.24/32.42 cnf(a1, assumption, % 229.24/32.42 sK26 = X1). % 229.24/32.42 cnf(a2, assumption, % 229.24/32.42 sK27 = X2). % 229.24/32.42 cnf(c3, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 229.24/32.42 cnf(c4, plain, % 229.24/32.42 sP5(X0,X1,X2), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 229.24/32.42 % 229.24/32.42 cnf(c5, axiom, % 229.24/32.42 member(X3,X4) | ~sP5(X3,X5,X4)). % 229.24/32.42 cnf(a3, assumption, % 229.24/32.42 X0 = X3). % 229.24/32.42 cnf(a4, assumption, % 229.24/32.42 X1 = X5). % 229.24/32.42 cnf(a5, assumption, % 229.24/32.42 X2 = X4). % 229.24/32.42 cnf(c6, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 229.24/32.42 cnf(c7, plain, % 229.24/32.42 member(X3,X4), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 229.24/32.42 % 229.24/32.42 cnf(c8, axiom, % 229.24/32.42 min(X6,X7,X8) | ~sP7(X6,X7,X8) | ~member(X6,X8)). % 229.24/32.42 cnf(a6, assumption, % 229.24/32.42 X3 = X6). % 229.24/32.42 cnf(a7, assumption, % 229.24/32.42 X4 = X8). % 229.24/32.42 cnf(c9, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])). % 229.24/32.42 cnf(c10, plain, % 229.24/32.42 min(X6,X7,X8) | ~sP7(X6,X7,X8), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a6, a7])], [c7, c8])). % 229.24/32.42 % 229.24/32.42 cnf(c11, axiom, % 229.24/32.42 ~min(sK28,sK26,sK27)). % 229.24/32.42 cnf(a8, assumption, % 229.24/32.42 X6 = sK28). % 229.24/32.42 cnf(a9, assumption, % 229.24/32.42 X7 = sK26). % 229.24/32.42 cnf(a10, assumption, % 229.24/32.42 X8 = sK27). % 229.24/32.42 cnf(c12, plain, % 229.24/32.42 ~sP7(X6,X7,X8), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c10, c11])). % 229.24/32.42 cnf(c13, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a8, a9, a10])], [c10, c11])). % 229.24/32.42 % 229.24/32.42 cnf(c14, axiom, % 229.24/32.42 sP7(X9,X10,X11) | apply(X10,sK23(X9,X10,X11),X9)). % 229.24/32.42 cnf(a11, assumption, % 229.24/32.42 X6 = X9). % 229.24/32.42 cnf(a12, assumption, % 229.24/32.42 X7 = X10). % 229.24/32.42 cnf(a13, assumption, % 229.24/32.42 X8 = X11). % 229.24/32.42 cnf(c15, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c12, c14])). % 229.24/32.42 cnf(c16, plain, % 229.24/32.42 apply(X10,sK23(X9,X10,X11),X9), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a11, a12, a13])], [c12, c14])). % 229.24/32.42 % 229.24/32.42 cnf(c17, axiom, % 229.24/32.42 X12 = X13 | ~apply(X14,X13,X12) | ~apply(X14,X12,X13) | ~member(X13,X15) | ~member(X12,X15) | ~sP0(X14,X15)). % 229.24/32.42 cnf(a14, assumption, % 229.24/32.42 X10 = X14). % 229.24/32.42 cnf(a15, assumption, % 229.24/32.42 sK23(X9,X10,X11) = X13). % 229.24/32.42 cnf(a16, assumption, % 229.24/32.42 X9 = X12). % 229.24/32.42 cnf(c18, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c16, c17])). % 229.24/32.42 cnf(c19, plain, % 229.24/32.42 X12 = X13 | ~apply(X14,X12,X13) | ~member(X13,X15) | ~member(X12,X15) | ~sP0(X14,X15), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a14, a15, a16])], [c16, c17])). % 229.24/32.42 % 229.24/32.42 cnf(c20, axiom, % 229.24/32.42 sP7(X16,X17,X18) | sK23(X16,X17,X18) != X16). % 229.24/32.42 cnf(a17, assumption, % 229.24/32.42 sK23(X16,X17,X18) = X13). % 229.24/32.42 cnf(c21, plain, % 229.24/32.42 ~apply(X14,X12,X13) | ~member(X13,X15) | ~member(X12,X15) | ~sP0(X14,X15), % 229.24/32.42 inference(strict_subterm_extension, [assumptions([a17])], [c19, c20])). % 229.24/32.42 cnf(c22, plain, % 229.24/32.42 sP7(X16,X17,X18), % 229.24/32.42 inference(strict_subterm_extension, [assumptions([a17])], [c19, c20])). % 229.24/32.42 cnf(c23, plain, % 229.24/32.42 X12 != X16, % 229.24/32.42 inference(strict_subterm_extension, [assumptions([a17])], [c19, c20])). % 229.24/32.42 % 229.24/32.42 cnf(a18, assumption, % 229.24/32.42 X12 = X16). % 229.24/32.42 cnf(c24, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(reflexivity, [assumptions([a18])], [c23])). % 229.24/32.42 % 229.24/32.42 cnf(c25, plain, % 229.24/32.42 ~sP7(X6,X7,X8)). % 229.24/32.42 cnf(a19, assumption, % 229.24/32.42 X16 = X6). % 229.24/32.42 cnf(a20, assumption, % 229.24/32.42 X17 = X7). % 229.24/32.42 cnf(a21, assumption, % 229.24/32.42 X18 = X8). % 229.24/32.42 cnf(c26, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(predicate_reduction, [assumptions([a19, a20, a21])], [c22, c25])). % 229.24/32.42 % 229.24/32.42 cnf(c27, axiom, % 229.24/32.42 apply(X19,X20,X21) | ~member(X21,X22) | ~sP5(X20,X19,X22)). % 229.24/32.42 cnf(a22, assumption, % 229.24/32.42 X14 = X19). % 229.24/32.42 cnf(a23, assumption, % 229.24/32.42 X12 = X20). % 229.24/32.42 cnf(a24, assumption, % 229.24/32.42 X13 = X21). % 229.24/32.42 cnf(c28, plain, % 229.24/32.42 ~member(X13,X15) | ~member(X12,X15) | ~sP0(X14,X15), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c21, c27])). % 229.24/32.42 cnf(c29, plain, % 229.24/32.42 ~member(X21,X22) | ~sP5(X20,X19,X22), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c21, c27])). % 229.24/32.42 % 229.24/32.42 cnf(c30, axiom, % 229.24/32.42 sP7(X23,X24,X25) | member(sK23(X23,X24,X25),X25)). % 229.24/32.42 cnf(a25, assumption, % 229.24/32.42 X21 = sK23(X23,X24,X25)). % 229.24/32.42 cnf(a26, assumption, % 229.24/32.42 X22 = X25). % 229.24/32.42 cnf(c31, plain, % 229.24/32.42 ~sP5(X20,X19,X22), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a25, a26])], [c29, c30])). % 229.24/32.42 cnf(c32, plain, % 229.24/32.42 sP7(X23,X24,X25), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a25, a26])], [c29, c30])). % 229.24/32.42 % 229.24/32.42 cnf(c33, plain, % 229.24/32.42 ~sP7(X6,X7,X8)). % 229.24/32.42 cnf(a27, assumption, % 229.24/32.42 X23 = X6). % 229.24/32.42 cnf(a28, assumption, % 229.24/32.42 X24 = X7). % 229.24/32.42 cnf(a29, assumption, % 229.24/32.42 X25 = X8). % 229.24/32.42 cnf(c34, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(predicate_reduction, [assumptions([a27, a28, a29])], [c32, c33])). % 229.24/32.42 % 229.24/32.42 cnf(c35, plain, % 229.24/32.42 sP5(X0,X1,X2)). % 229.24/32.42 cnf(a30, assumption, % 229.24/32.42 X20 = X0). % 229.24/32.42 cnf(a31, assumption, % 229.24/32.42 X19 = X1). % 229.24/32.42 cnf(a32, assumption, % 229.24/32.42 X22 = X2). % 229.24/32.42 cnf(c36, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(predicate_reduction, [assumptions([a30, a31, a32])], [c31, c35])). % 229.24/32.42 % 229.24/32.42 cnf(c37, plain, % 229.24/32.42 member(X21,X22)). % 229.24/32.42 cnf(a33, assumption, % 229.24/32.42 X13 = X21). % 229.24/32.42 cnf(a34, assumption, % 229.24/32.42 X15 = X22). % 229.24/32.42 cnf(c38, plain, % 229.24/32.42 ~member(X12,X15) | ~sP0(X14,X15), % 229.24/32.42 inference(predicate_reduction, [assumptions([a33, a34])], [c28, c37])). % 229.24/32.42 % 229.24/32.42 cnf(c39, plain, % 229.24/32.42 member(X3,X4)). % 229.24/32.42 cnf(a35, assumption, % 229.24/32.42 X12 = X3). % 229.24/32.42 cnf(a36, assumption, % 229.24/32.42 X15 = X4). % 229.24/32.42 cnf(c40, plain, % 229.24/32.42 ~sP0(X14,X15), % 229.24/32.42 inference(predicate_reduction, [assumptions([a35, a36])], [c38, c39])). % 229.24/32.42 % 229.24/32.42 cnf(c41, axiom, % 229.24/32.42 sP0(X26,X27) | ~sP2(X27,X26)). % 229.24/32.42 cnf(a37, assumption, % 229.24/32.42 X14 = X26). % 229.24/32.42 cnf(a38, assumption, % 229.24/32.42 X15 = X27). % 229.24/32.42 cnf(c42, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a37, a38])], [c40, c41])). % 229.24/32.42 cnf(c43, plain, % 229.24/32.42 ~sP2(X27,X26), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a37, a38])], [c40, c41])). % 229.24/32.42 % 229.24/32.42 cnf(c44, axiom, % 229.24/32.42 sP2(X28,X29) | ~order(X29,X28)). % 229.24/32.42 cnf(a39, assumption, % 229.24/32.42 X27 = X28). % 229.24/32.42 cnf(a40, assumption, % 229.24/32.42 X26 = X29). % 229.24/32.42 cnf(c45, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a39, a40])], [c43, c44])). % 229.24/32.42 cnf(c46, plain, % 229.24/32.42 ~order(X29,X28), % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a39, a40])], [c43, c44])). % 229.24/32.42 % 229.24/32.42 cnf(c47, axiom, % 229.24/32.42 order(sK26,sK27)). % 229.24/32.42 cnf(a41, assumption, % 229.24/32.42 X29 = sK26). % 229.24/32.42 cnf(a42, assumption, % 229.24/32.42 X28 = sK27). % 229.24/32.42 cnf(c48, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a41, a42])], [c46, c47])). % 229.24/32.42 cnf(c49, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(strict_predicate_extension, [assumptions([a41, a42])], [c46, c47])). % 229.24/32.42 % 229.24/32.42 cnf(c50, plain, % 229.24/32.42 $false, % 229.24/32.42 inference(constraint_solving, [ % 229.24/32.42 bind(X0, sK28), % 229.24/32.42 bind(X1, sK26), % 229.24/32.42 bind(X2, sK27), % 229.24/32.42 bind(X3, sK28), % 229.24/32.42 bind(X4, sK27), % 229.24/32.42 bind(X5, sK26), % 229.24/32.42 bind(X6, sK28), % 229.24/32.42 bind(X7, sK26), % 229.24/32.42 bind(X8, sK27), % 229.24/32.42 bind(X9, sK28), % 229.24/32.42 bind(X10, sK26), % 229.24/32.42 bind(X11, sK27), % 229.24/32.42 bind(X12, sK28), % 229.24/32.42 bind(X13, sK23(X9,X10,X11)), % 229.24/32.42 bind(X14, sK26), % 229.24/32.42 bind(X15, sK27), % 229.24/32.42 bind(X16, sK28), % 229.24/32.42 bind(X17, sK26), % 229.24/32.42 bind(X18, sK27), % 229.24/32.42 bind(X19, sK26), % 229.24/32.42 bind(X20, sK28), % 229.24/32.42 bind(X21, sK23(X9,X10,X11)), % 229.24/32.42 bind(X22, sK27), % 229.24/32.42 bind(X23, sK28), % 229.24/32.42 bind(X24, sK26), % 229.24/32.42 bind(X25, sK27), % 229.24/32.42 bind(X26, sK26), % 229.24/32.42 bind(X27, sK27), % 229.24/32.42 bind(X28, sK27), % 229.24/32.42 bind(X29, sK26) % 229.24/32.42 ], % 229.24/32.42 [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])). % 229.24/32.42 % 229.24/32.42 % SZS output end IncompleteProof %------------------------------------------------------------------------------