%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : COL123-2 : 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 : n023.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 : Fri Jul 15 00:34:10 EDT 2022 % Result : Unsatisfiable 1.42s 0.58s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : COL123-2 : TPTP v8.1.0. Released v3.2.0. % 0.08/0.14 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.14/0.35 % Computer : n023.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Tue May 31 10:14:56 EDT 2022 % 0.14/0.36 % CPUTime : % 1.42/0.58 % SZS status Unsatisfiable % 1.42/0.58 % SZS output begin IncompleteProof % 1.42/0.58 cnf(c0, axiom, % 1.42/0.58 c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))). % 1.42/0.58 cnf(c1, plain, % 1.42/0.58 c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a)), % 1.42/0.58 inference(start, [], [c0])). % 1.42/0.58 % 1.42/0.58 cnf(c2, axiom, % 1.42/0.58 ~c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) | ~c_in(c_Pair(X0,X2,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(c_Pair(X1,v_xa(X0,X1,X2),t_a,t_a),v_r,tc_prod(t_a,t_a))). % 1.42/0.58 cnf(a0, assumption, % 1.42/0.58 c_Pair(v_y,v_z,t_a,t_a) = c_Pair(X0,X2,t_a,t_a)). % 1.42/0.58 cnf(a1, assumption, % 1.42/0.58 v_r = v_r). % 1.42/0.58 cnf(a2, assumption, % 1.42/0.58 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 1.42/0.58 cnf(c3, plain, % 1.42/0.58 $false, % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 1.42/0.58 cnf(c4, plain, % 1.42/0.58 ~c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(c_Pair(X1,v_xa(X0,X1,X2),t_a,t_a),v_r,tc_prod(t_a,t_a)), % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 1.42/0.58 % 1.42/0.58 cnf(c5, axiom, % 1.42/0.58 ~c_in(c_Pair(v_x,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(c_Pair(v_y,v_xaa(X3),t_a,t_a),v_r,tc_prod(t_a,t_a))). % 1.42/0.58 cnf(a3, assumption, % 1.42/0.58 c_Pair(X0,X1,t_a,t_a) = c_Pair(v_y,v_xaa(X3),t_a,t_a)). % 1.42/0.58 cnf(a4, assumption, % 1.42/0.58 v_r = v_r). % 1.42/0.58 cnf(a5, assumption, % 1.42/0.58 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 1.42/0.58 cnf(c6, plain, % 1.42/0.58 c_in(c_Pair(X1,v_xa(X0,X1,X2),t_a,t_a),v_r,tc_prod(t_a,t_a)), % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 1.42/0.58 cnf(c7, plain, % 1.42/0.58 ~c_in(c_Pair(v_x,X3,t_a,t_a),v_r,tc_prod(t_a,t_a)), % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])). % 1.42/0.58 % 1.42/0.58 cnf(c8, axiom, % 1.42/0.58 c_in(c_Pair(v_x,v_xb,t_a,t_a),v_r,tc_prod(t_a,t_a))). % 1.42/0.58 cnf(a6, assumption, % 1.42/0.58 c_Pair(v_x,X3,t_a,t_a) = c_Pair(v_x,v_xb,t_a,t_a)). % 1.42/0.58 cnf(a7, assumption, % 1.42/0.58 v_r = v_r). % 1.42/0.58 cnf(a8, assumption, % 1.42/0.58 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 1.42/0.58 cnf(c9, plain, % 1.42/0.58 $false, % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 1.42/0.58 cnf(c10, plain, % 1.42/0.58 $false, % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])). % 1.42/0.58 % 1.42/0.58 cnf(c11, axiom, % 1.42/0.58 c_in(X4,c_Transitive__Closure_Ortrancl(X5,X6),tc_prod(X6,X6)) | ~c_in(X4,X5,tc_prod(X6,X6))). % 1.42/0.58 cnf(a9, assumption, % 1.42/0.58 c_Pair(X1,v_xa(X0,X1,X2),t_a,t_a) = X4). % 1.42/0.58 cnf(a10, assumption, % 1.42/0.58 v_r = X5). % 1.42/0.58 cnf(a11, assumption, % 1.42/0.58 tc_prod(t_a,t_a) = tc_prod(X6,X6)). % 1.42/0.58 cnf(c12, plain, % 1.42/0.58 $false, % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c11])). % 1.42/0.58 cnf(c13, plain, % 1.42/0.58 c_in(X4,c_Transitive__Closure_Ortrancl(X5,X6),tc_prod(X6,X6)), % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c11])). % 1.42/0.58 % 1.42/0.58 cnf(c14, axiom, % 1.42/0.58 c_in(c_Pair(X7,X8,X9,X9),c_Transitive__Closure_Ortrancl(X10,X9),tc_prod(X9,X9)) | ~c_in(c_Pair(X7,X11,X9,X9),c_Transitive__Closure_Ortrancl(X10,X9),tc_prod(X9,X9)) | ~c_in(c_Pair(X11,X8,X9,X9),c_Transitive__Closure_Ortrancl(X10,X9),tc_prod(X9,X9))). % 1.42/0.58 cnf(a12, assumption, % 1.42/0.58 X4 = c_Pair(X11,X8,X9,X9)). % 1.42/0.58 cnf(a13, assumption, % 1.42/0.58 c_Transitive__Closure_Ortrancl(X5,X6) = c_Transitive__Closure_Ortrancl(X10,X9)). % 1.42/0.58 cnf(a14, assumption, % 1.42/0.58 tc_prod(X6,X6) = tc_prod(X9,X9)). % 1.42/0.58 cnf(c15, plain, % 1.42/0.58 $false, % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])). % 1.42/0.58 cnf(c16, plain, % 1.42/0.58 c_in(c_Pair(X7,X8,X9,X9),c_Transitive__Closure_Ortrancl(X10,X9),tc_prod(X9,X9)) | ~c_in(c_Pair(X7,X11,X9,X9),c_Transitive__Closure_Ortrancl(X10,X9),tc_prod(X9,X9)), % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])). % 1.42/0.58 % 1.42/0.58 cnf(c17, axiom, % 1.42/0.58 ~c_in(c_Pair(v_xb,X12,t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a)) | ~c_in(c_Pair(v_z,X12,t_a,t_a),v_r,tc_prod(t_a,t_a))). % 1.42/0.58 cnf(a15, assumption, % 1.42/0.58 c_Pair(X7,X8,X9,X9) = c_Pair(v_xb,X12,t_a,t_a)). % 1.42/0.58 cnf(a16, assumption, % 1.42/0.58 c_Transitive__Closure_Ortrancl(X10,X9) = c_Transitive__Closure_Ortrancl(v_r,t_a)). % 1.42/0.58 cnf(a17, assumption, % 1.42/0.58 tc_prod(X9,X9) = tc_prod(t_a,t_a)). % 1.42/0.58 cnf(c18, plain, % 1.42/0.58 ~c_in(c_Pair(X7,X11,X9,X9),c_Transitive__Closure_Ortrancl(X10,X9),tc_prod(X9,X9)), % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])). % 1.42/0.58 cnf(c19, plain, % 1.42/0.58 ~c_in(c_Pair(v_z,X12,t_a,t_a),v_r,tc_prod(t_a,t_a)), % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])). % 1.42/0.58 % 1.42/0.58 cnf(c20, axiom, % 1.42/0.58 ~c_in(c_Pair(X13,X14,t_a,t_a),v_r,tc_prod(t_a,t_a)) | ~c_in(c_Pair(X13,X15,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(c_Pair(X15,v_xa(X13,X14,X15),t_a,t_a),v_r,tc_prod(t_a,t_a))). % 1.42/0.58 cnf(a18, assumption, % 1.42/0.58 c_Pair(v_z,X12,t_a,t_a) = c_Pair(X15,v_xa(X13,X14,X15),t_a,t_a)). % 1.42/0.58 cnf(a19, assumption, % 1.42/0.58 v_r = v_r). % 1.42/0.58 cnf(a20, assumption, % 1.42/0.58 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 1.42/0.58 cnf(c21, plain, % 1.42/0.58 $false, % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])). % 1.42/0.58 cnf(c22, plain, % 1.42/0.58 ~c_in(c_Pair(X13,X14,t_a,t_a),v_r,tc_prod(t_a,t_a)) | ~c_in(c_Pair(X13,X15,t_a,t_a),v_r,tc_prod(t_a,t_a)), % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])). % 1.42/0.58 % 1.42/0.58 cnf(c23, plain, % 1.42/0.58 c_in(c_Pair(X0,X1,t_a,t_a),v_r,tc_prod(t_a,t_a))). % 1.42/0.58 cnf(a21, assumption, % 1.42/0.58 c_Pair(X13,X14,t_a,t_a) = c_Pair(X0,X1,t_a,t_a)). % 1.42/0.58 cnf(a22, assumption, % 1.42/0.58 v_r = v_r). % 1.42/0.58 cnf(a23, assumption, % 1.42/0.58 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 1.42/0.58 cnf(c24, plain, % 1.42/0.58 ~c_in(c_Pair(X13,X15,t_a,t_a),v_r,tc_prod(t_a,t_a)), % 1.42/0.58 inference(predicate_reduction, [assumptions([a21, a22, a23])], [c22, c23])). % 1.42/0.58 % 1.42/0.58 cnf(c25, plain, % 1.42/0.58 c_in(c_Pair(v_y,v_z,t_a,t_a),v_r,tc_prod(t_a,t_a))). % 1.42/0.58 cnf(a24, assumption, % 1.42/0.58 c_Pair(X13,X15,t_a,t_a) = c_Pair(v_y,v_z,t_a,t_a)). % 1.42/0.58 cnf(a25, assumption, % 1.42/0.58 v_r = v_r). % 1.42/0.58 cnf(a26, assumption, % 1.42/0.58 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 1.42/0.58 cnf(c26, plain, % 1.42/0.58 $false, % 1.42/0.58 inference(predicate_reduction, [assumptions([a24, a25, a26])], [c24, c25])). % 1.42/0.58 % 1.42/0.58 cnf(c27, axiom, % 1.42/0.58 ~c_in(c_Pair(v_x,X16,t_a,t_a),v_r,tc_prod(t_a,t_a)) | c_in(c_Pair(X16,v_xaa(X16),t_a,t_a),c_Transitive__Closure_Ortrancl(v_r,t_a),tc_prod(t_a,t_a))). % 1.42/0.58 cnf(a27, assumption, % 1.42/0.58 c_Pair(X7,X11,X9,X9) = c_Pair(X16,v_xaa(X16),t_a,t_a)). % 1.42/0.58 cnf(a28, assumption, % 1.42/0.58 c_Transitive__Closure_Ortrancl(X10,X9) = c_Transitive__Closure_Ortrancl(v_r,t_a)). % 1.42/0.58 cnf(a29, assumption, % 1.42/0.58 tc_prod(X9,X9) = tc_prod(t_a,t_a)). % 1.42/0.58 cnf(c28, plain, % 1.42/0.58 $false, % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c18, c27])). % 1.42/0.58 cnf(c29, plain, % 1.42/0.58 ~c_in(c_Pair(v_x,X16,t_a,t_a),v_r,tc_prod(t_a,t_a)), % 1.42/0.58 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c18, c27])). % 1.42/0.58 % 1.42/0.58 cnf(c30, plain, % 1.42/0.58 c_in(c_Pair(v_x,X3,t_a,t_a),v_r,tc_prod(t_a,t_a))). % 1.42/0.58 cnf(a30, assumption, % 1.42/0.58 c_Pair(v_x,X16,t_a,t_a) = c_Pair(v_x,X3,t_a,t_a)). % 1.42/0.58 cnf(a31, assumption, % 1.42/0.58 v_r = v_r). % 1.42/0.58 cnf(a32, assumption, % 1.42/0.58 tc_prod(t_a,t_a) = tc_prod(t_a,t_a)). % 1.42/0.58 cnf(c31, plain, % 1.42/0.58 $false, % 1.42/0.58 inference(predicate_reduction, [assumptions([a30, a31, a32])], [c29, c30])). % 1.42/0.58 % 1.42/0.58 cnf(c32, plain, % 1.42/0.58 $false, % 1.42/0.58 inference(constraint_solving, [ % 1.42/0.58 bind(X0, v_y), % 1.42/0.58 bind(X1, v_xaa(X3)), % 1.42/0.58 bind(X2, v_z), % 1.42/0.58 bind(X3, v_xb), % 1.42/0.58 bind(X4, c_Pair(X1,v_xa(X0,X1,X2),t_a,t_a)), % 1.42/0.58 bind(X5, v_r), % 1.42/0.58 bind(X6, t_a), % 1.42/0.58 bind(X7, v_xb), % 1.42/0.58 bind(X8, v_xa(X0,X1,X2)), % 1.42/0.58 bind(X9, t_a), % 1.42/0.58 bind(X10, v_r), % 1.42/0.58 bind(X11, v_xaa(X3)), % 1.42/0.58 bind(X12, v_xa(X0,X1,X2)), % 1.42/0.58 bind(X13, v_y), % 1.42/0.58 bind(X14, v_xaa(X3)), % 1.42/0.58 bind(X15, v_z), % 1.42/0.58 bind(X16, v_xb) % 1.42/0.58 ], % 1.42/0.58 [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])). % 1.42/0.58 % 1.42/0.58 % SZS output end IncompleteProof 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