%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n024.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 : Thu Jul 21 17:25:01 EDT 2022 % Result : Unsatisfiable 0.21s 0.35s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYO691-1.000 : TPTP v8.1.0. Released v7.3.0. % 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n024.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 : Fri Jul 8 18:58:44 EDT 2022 % 0.13/0.34 % CPUTime : % 0.21/0.35 % SZS status Unsatisfiable % 0.21/0.35 % SZS output begin IncompleteProof % 0.21/0.35 cnf(c0, axiom, % 0.21/0.35 ~seq(succ(succ(succ(zero))),X0,X0)). % 0.21/0.35 cnf(c1, plain, % 0.21/0.35 ~seq(succ(succ(succ(zero))),X0,X0), % 0.21/0.35 inference(start, [], [c0])). % 0.21/0.35 % 0.21/0.35 cnf(c2, axiom, % 0.21/0.35 seq(succ(X1),X2,X3) | ~step(X4,X3) | ~seq(X1,X2,X4)). % 0.21/0.35 cnf(a0, assumption, % 0.21/0.35 succ(succ(succ(zero))) = succ(X1)). % 0.21/0.35 cnf(a1, assumption, % 0.21/0.35 X0 = X2). % 0.21/0.35 cnf(a2, assumption, % 0.21/0.35 X0 = X3). % 0.21/0.35 cnf(c3, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.21/0.35 cnf(c4, plain, % 0.21/0.35 ~step(X4,X3) | ~seq(X1,X2,X4), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])). % 0.21/0.35 % 0.21/0.35 cnf(c5, axiom, % 0.21/0.35 step(f(X5,X6),f(X5,X7)) | ~step(X6,X7)). % 0.21/0.35 cnf(a3, assumption, % 0.21/0.35 X4 = f(X5,X6)). % 0.21/0.35 cnf(a4, assumption, % 0.21/0.35 X3 = f(X5,X7)). % 0.21/0.35 cnf(c6, plain, % 0.21/0.35 ~seq(X1,X2,X4), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 0.21/0.35 cnf(c7, plain, % 0.21/0.35 ~step(X6,X7), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a3, a4])], [c4, c5])). % 0.21/0.35 % 0.21/0.35 cnf(c8, axiom, % 0.21/0.35 step(X8,X9) | ~top(X8,X9)). % 0.21/0.35 cnf(a5, assumption, % 0.21/0.35 X6 = X8). % 0.21/0.35 cnf(a6, assumption, % 0.21/0.35 X7 = X9). % 0.21/0.35 cnf(c9, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])). % 0.21/0.35 cnf(c10, plain, % 0.21/0.35 ~top(X8,X9), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a5, a6])], [c7, c8])). % 0.21/0.35 % 0.21/0.35 cnf(c11, axiom, % 0.21/0.35 top(f(f(X10,X11),f(X12,a)),f(f(X12,f(X11,a)),X10))). % 0.21/0.35 cnf(a7, assumption, % 0.21/0.35 X8 = f(f(X10,X11),f(X12,a))). % 0.21/0.35 cnf(a8, assumption, % 0.21/0.35 X9 = f(f(X12,f(X11,a)),X10)). % 0.21/0.35 cnf(c12, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])). % 0.21/0.35 cnf(c13, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a7, a8])], [c10, c11])). % 0.21/0.35 % 0.21/0.35 cnf(c14, axiom, % 0.21/0.35 seq(succ(X13),X14,X15) | ~step(X16,X15) | ~seq(X13,X14,X16)). % 0.21/0.35 cnf(a9, assumption, % 0.21/0.35 X1 = succ(X13)). % 0.21/0.35 cnf(a10, assumption, % 0.21/0.35 X2 = X14). % 0.21/0.35 cnf(a11, assumption, % 0.21/0.35 X4 = X15). % 0.21/0.35 cnf(c15, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c14])). % 0.21/0.35 cnf(c16, plain, % 0.21/0.35 ~step(X16,X15) | ~seq(X13,X14,X16), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c14])). % 0.21/0.35 % 0.21/0.35 cnf(c17, axiom, % 0.21/0.35 step(f(X17,X18),f(X19,X18)) | ~step(X17,X19)). % 0.21/0.35 cnf(a12, assumption, % 0.21/0.35 X16 = f(X17,X18)). % 0.21/0.35 cnf(a13, assumption, % 0.21/0.35 X15 = f(X19,X18)). % 0.21/0.35 cnf(c18, plain, % 0.21/0.35 ~seq(X13,X14,X16), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a12, a13])], [c16, c17])). % 0.21/0.35 cnf(c19, plain, % 0.21/0.35 ~step(X17,X19), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a12, a13])], [c16, c17])). % 0.21/0.35 % 0.21/0.35 cnf(c20, axiom, % 0.21/0.35 step(X20,X21) | ~top(X20,X21)). % 0.21/0.35 cnf(a14, assumption, % 0.21/0.35 X17 = X20). % 0.21/0.35 cnf(a15, assumption, % 0.21/0.35 X19 = X21). % 0.21/0.35 cnf(c21, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a14, a15])], [c19, c20])). % 0.21/0.35 cnf(c22, plain, % 0.21/0.35 ~top(X20,X21), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a14, a15])], [c19, c20])). % 0.21/0.35 % 0.21/0.35 cnf(c23, axiom, % 0.21/0.35 top(f(f(X22,X23),f(X24,a)),f(f(X24,f(X23,a)),X22))). % 0.21/0.35 cnf(a16, assumption, % 0.21/0.35 X20 = f(f(X22,X23),f(X24,a))). % 0.21/0.35 cnf(a17, assumption, % 0.21/0.35 X21 = f(f(X24,f(X23,a)),X22)). % 0.21/0.35 cnf(c24, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a16, a17])], [c22, c23])). % 0.21/0.35 cnf(c25, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a16, a17])], [c22, c23])). % 0.21/0.35 % 0.21/0.35 cnf(c26, axiom, % 0.21/0.35 seq(succ(X25),X26,X27) | ~step(X28,X27) | ~seq(X25,X26,X28)). % 0.21/0.35 cnf(a18, assumption, % 0.21/0.35 X13 = succ(X25)). % 0.21/0.35 cnf(a19, assumption, % 0.21/0.35 X14 = X26). % 0.21/0.35 cnf(a20, assumption, % 0.21/0.35 X16 = X27). % 0.21/0.35 cnf(c27, plain, % 0.21/0.35 $false, % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c26])). % 0.21/0.35 cnf(c28, plain, % 0.21/0.35 ~step(X28,X27) | ~seq(X25,X26,X28), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c26])). % 0.21/0.35 % 0.21/0.35 cnf(c29, axiom, % 0.21/0.35 step(X29,X30) | ~top(X29,X30)). % 0.21/0.35 cnf(a21, assumption, % 0.21/0.35 X28 = X29). % 0.21/0.35 cnf(a22, assumption, % 0.21/0.35 X27 = X30). % 0.21/0.35 cnf(c30, plain, % 0.21/0.35 ~seq(X25,X26,X28), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a21, a22])], [c28, c29])). % 0.21/0.35 cnf(c31, plain, % 0.21/0.35 ~top(X29,X30), % 0.21/0.35 inference(strict_predicate_extension, [assumptions([a21, a22])], [c28, c29])). % 0.21/0.36 % 0.21/0.36 cnf(c32, axiom, % 0.21/0.36 top(f(f(X31,X32),f(X33,a)),f(f(X33,f(X32,a)),X31))). % 0.21/0.36 cnf(a23, assumption, % 0.21/0.36 X29 = f(f(X31,X32),f(X33,a))). % 0.21/0.36 cnf(a24, assumption, % 0.21/0.36 X30 = f(f(X33,f(X32,a)),X31)). % 0.21/0.36 cnf(c33, plain, % 0.21/0.36 $false, % 0.21/0.36 inference(strict_predicate_extension, [assumptions([a23, a24])], [c31, c32])). % 0.21/0.36 cnf(c34, plain, % 0.21/0.36 $false, % 0.21/0.36 inference(strict_predicate_extension, [assumptions([a23, a24])], [c31, c32])). % 0.21/0.36 % 0.21/0.36 cnf(c35, axiom, % 0.21/0.36 seq(zero,X34,X34)). % 0.21/0.36 cnf(a25, assumption, % 0.21/0.36 X25 = zero). % 0.21/0.36 cnf(a26, assumption, % 0.21/0.36 X26 = X34). % 0.21/0.36 cnf(a27, assumption, % 0.21/0.36 X28 = X34). % 0.21/0.36 cnf(c36, plain, % 0.21/0.36 $false, % 0.21/0.36 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c30, c35])). % 0.21/0.36 cnf(c37, plain, % 0.21/0.36 $false, % 0.21/0.36 inference(strict_predicate_extension, [assumptions([a25, a26, a27])], [c30, c35])). % 0.21/0.36 % 0.21/0.36 cnf(c38, plain, % 0.21/0.36 $false, % 0.21/0.36 inference(constraint_solving, [ % 0.21/0.36 bind(X0, f(X5,X7)), % 0.21/0.36 bind(X1, succ(succ(zero))), % 0.21/0.36 bind(X2, f(X5,X7)), % 0.21/0.36 bind(X3, f(X5,X7)), % 0.21/0.36 bind(X4, f(X5,X6)), % 0.21/0.36 bind(X5, f(f(X24,f(X23,a)),X22)), % 0.21/0.36 bind(X6, f(f(X10,X11),f(X12,a))), % 0.21/0.36 bind(X7, f(f(X12,f(X11,a)),X10)), % 0.21/0.36 bind(X8, f(f(X10,X11),f(X12,a))), % 0.21/0.36 bind(X9, f(f(X12,f(X11,a)),X10)), % 0.21/0.36 bind(X10, a), % 0.21/0.36 bind(X11, a), % 0.21/0.36 bind(X12, f(X10,X11)), % 0.21/0.36 bind(X13, succ(zero)), % 0.21/0.36 bind(X14, f(X5,X7)), % 0.21/0.36 bind(X15, f(X5,X6)), % 0.21/0.36 bind(X16, f(X17,X18)), % 0.21/0.36 bind(X17, f(f(X22,X23),f(X24,a))), % 0.21/0.36 bind(X18, f(f(X10,X11),f(X12,a))), % 0.21/0.36 bind(X19, f(f(X24,f(X23,a)),X22)), % 0.21/0.36 bind(X20, f(f(X22,X23),f(X24,a))), % 0.21/0.36 bind(X21, f(f(X24,f(X23,a)),X22)), % 0.21/0.36 bind(X22, f(X10,X11)), % 0.21/0.36 bind(X23, f(X10,X11)), % 0.21/0.36 bind(X24, f(X10,X11)), % 0.21/0.36 bind(X25, zero), % 0.21/0.36 bind(X26, f(X5,X7)), % 0.21/0.36 bind(X27, f(X17,X18)), % 0.21/0.36 bind(X28, f(f(X31,X32),f(X33,a))), % 0.21/0.36 bind(X29, f(f(X31,X32),f(X33,a))), % 0.21/0.36 bind(X30, f(X17,X18)), % 0.21/0.36 bind(X31, f(f(X10,X11),f(X12,a))), % 0.21/0.36 bind(X32, f(X10,X11)), % 0.21/0.36 bind(X33, f(X22,X23)), % 0.21/0.36 bind(X34, f(X5,X7)) % 0.21/0.36 ], % 0.21/0.36 [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])). % 0.21/0.36 % 0.21/0.36 % SZS output end IncompleteProof %------------------------------------------------------------------------------