%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n017.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 08:08:01 EDT 2022 % Result : Theorem 4.74s 1.00s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0. % 0.10/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n017.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 : Mon Jul 11 12:15:48 EDT 2022 % 0.13/0.34 % CPUTime : % 4.74/1.00 % SZS status Theorem % 4.74/1.00 % SZS output begin IncompleteProof % 4.74/1.00 cnf(c0, axiom, % 4.74/1.00 ~sP3 | ~sP2). % 4.74/1.00 cnf(c1, plain, % 4.74/1.00 ~sP3 | ~sP2, % 4.74/1.00 inference(start, [], [c0])). % 4.74/1.00 % 4.74/1.00 cnf(c2, axiom, % 4.74/1.00 sP3 | ~sP1(sK4) | ~sP0(sK4)). % 4.74/1.00 cnf(c3, plain, % 4.74/1.00 ~sP2, % 4.74/1.00 inference(strict_predicate_extension, [], [c1, c2])). % 4.74/1.00 cnf(c4, plain, % 4.74/1.00 ~sP1(sK4) | ~sP0(sK4), % 4.74/1.00 inference(strict_predicate_extension, [], [c1, c2])). % 4.74/1.00 % 4.74/1.00 cnf(c5, axiom, % 4.74/1.00 sP1(X0) | ~big_p(f(f(X0)))). % 4.74/1.00 cnf(a0, assumption, % 4.74/1.00 sK4 = X0). % 4.74/1.00 cnf(c6, plain, % 4.74/1.00 ~sP0(sK4), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a0])], [c4, c5])). % 4.74/1.00 cnf(c7, plain, % 4.74/1.00 ~big_p(f(f(X0))), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a0])], [c4, c5])). % 4.74/1.00 % 4.74/1.00 cnf(c8, axiom, % 4.74/1.00 big_p(f(f(X1))) | ~big_p(f(X1)) | ~big_p(a) | ~sP2). % 4.74/1.00 cnf(a1, assumption, % 4.74/1.00 f(f(X0)) = f(f(X1))). % 4.74/1.00 cnf(c9, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a1])], [c7, c8])). % 4.74/1.00 cnf(c10, plain, % 4.74/1.00 ~big_p(f(X1)) | ~big_p(a) | ~sP2, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a1])], [c7, c8])). % 4.74/1.00 % 4.74/1.00 cnf(c11, axiom, % 4.74/1.00 sP1(X2) | big_p(f(X2))). % 4.74/1.00 cnf(a2, assumption, % 4.74/1.00 f(X1) = f(X2)). % 4.74/1.00 cnf(c12, plain, % 4.74/1.00 ~big_p(a) | ~sP2, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a2])], [c10, c11])). % 4.74/1.00 cnf(c13, plain, % 4.74/1.00 sP1(X2), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a2])], [c10, c11])). % 4.74/1.00 % 4.74/1.00 cnf(c14, plain, % 4.74/1.00 ~sP1(sK4)). % 4.74/1.00 cnf(a3, assumption, % 4.74/1.00 X2 = sK4). % 4.74/1.00 cnf(c15, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(predicate_reduction, [assumptions([a3])], [c13, c14])). % 4.74/1.00 % 4.74/1.00 cnf(c16, axiom, % 4.74/1.00 sP1(X3) | big_p(a)). % 4.74/1.00 cnf(a4, assumption, % 4.74/1.00 a = a). % 4.74/1.00 cnf(c17, plain, % 4.74/1.00 ~sP2, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a4])], [c12, c16])). % 4.74/1.00 cnf(c18, plain, % 4.74/1.00 sP1(X3), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a4])], [c12, c16])). % 4.74/1.00 % 4.74/1.00 cnf(c19, plain, % 4.74/1.00 ~sP1(sK4)). % 4.74/1.00 cnf(a5, assumption, % 4.74/1.00 X3 = sK4). % 4.74/1.00 cnf(c20, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(predicate_reduction, [assumptions([a5])], [c18, c19])). % 4.74/1.00 % 4.74/1.00 cnf(c21, axiom, % 4.74/1.00 sP3 | sP2). % 4.74/1.00 cnf(c22, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(strict_predicate_extension, [], [c17, c21])). % 4.74/1.00 cnf(c23, plain, % 4.74/1.00 sP3, % 4.74/1.00 inference(strict_predicate_extension, [], [c17, c21])). % 4.74/1.00 % 4.74/1.00 cnf(c24, plain, % 4.74/1.00 ~sP3). % 4.74/1.00 cnf(c25, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(predicate_reduction, [], [c23, c24])). % 4.74/1.00 % 4.74/1.00 cnf(c26, axiom, % 4.74/1.00 sP0(X4) | ~big_p(f(f(X4)))). % 4.74/1.00 cnf(a6, assumption, % 4.74/1.00 sK4 = X4). % 4.74/1.00 cnf(c27, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a6])], [c6, c26])). % 4.74/1.00 cnf(c28, plain, % 4.74/1.00 ~big_p(f(f(X4))), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a6])], [c6, c26])). % 4.74/1.00 % 4.74/1.00 cnf(c29, axiom, % 4.74/1.00 big_p(f(f(X5))) | big_p(X5) | ~big_p(a) | ~sP2). % 4.74/1.00 cnf(a7, assumption, % 4.74/1.00 f(f(X4)) = f(f(X5))). % 4.74/1.00 cnf(c30, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a7])], [c28, c29])). % 4.74/1.00 cnf(c31, plain, % 4.74/1.00 big_p(X5) | ~big_p(a) | ~sP2, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a7])], [c28, c29])). % 4.74/1.00 % 4.74/1.00 cnf(c32, axiom, % 4.74/1.00 sP0(X6) | ~big_p(X6)). % 4.74/1.00 cnf(a8, assumption, % 4.74/1.00 X5 = X6). % 4.74/1.00 cnf(c33, plain, % 4.74/1.00 ~big_p(a) | ~sP2, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a8])], [c31, c32])). % 4.74/1.00 cnf(c34, plain, % 4.74/1.00 sP0(X6), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a8])], [c31, c32])). % 4.74/1.00 % 4.74/1.00 cnf(c35, plain, % 4.74/1.00 ~sP0(sK4)). % 4.74/1.00 cnf(a9, assumption, % 4.74/1.00 X6 = sK4). % 4.74/1.00 cnf(c36, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(predicate_reduction, [assumptions([a9])], [c34, c35])). % 4.74/1.00 % 4.74/1.00 cnf(c37, axiom, % 4.74/1.00 sP0(X7) | big_p(a)). % 4.74/1.00 cnf(a10, assumption, % 4.74/1.00 a = a). % 4.74/1.00 cnf(c38, plain, % 4.74/1.00 ~sP2, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a10])], [c33, c37])). % 4.74/1.00 cnf(c39, plain, % 4.74/1.00 sP0(X7), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a10])], [c33, c37])). % 4.74/1.00 % 4.74/1.00 cnf(c40, plain, % 4.74/1.00 ~sP0(sK4)). % 4.74/1.00 cnf(a11, assumption, % 4.74/1.00 X7 = sK4). % 4.74/1.00 cnf(c41, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(predicate_reduction, [assumptions([a11])], [c39, c40])). % 4.74/1.00 % 4.74/1.00 cnf(c42, plain, % 4.74/1.00 sP2). % 4.74/1.00 cnf(c43, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(predicate_reduction, [], [c38, c42])). % 4.74/1.00 % 4.74/1.00 cnf(c44, axiom, % 4.74/1.00 sP2 | ~big_p(f(f(sK5)))). % 4.74/1.00 cnf(c45, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(strict_predicate_extension, [], [c3, c44])). % 4.74/1.00 cnf(c46, plain, % 4.74/1.00 ~big_p(f(f(sK5))), % 4.74/1.00 inference(strict_predicate_extension, [], [c3, c44])). % 4.74/1.00 % 4.74/1.00 cnf(c47, axiom, % 4.74/1.00 big_p(f(f(X8))) | big_p(X8) | ~big_p(a) | ~sP0(X8)). % 4.74/1.00 cnf(a12, assumption, % 4.74/1.00 f(f(sK5)) = f(f(X8))). % 4.74/1.00 cnf(c48, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a12])], [c46, c47])). % 4.74/1.00 cnf(c49, plain, % 4.74/1.00 big_p(X8) | ~big_p(a) | ~sP0(X8), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a12])], [c46, c47])). % 4.74/1.00 % 4.74/1.00 cnf(c50, axiom, % 4.74/1.00 sP2 | big_p(f(sK5)) | ~big_p(sK5)). % 4.74/1.00 cnf(a13, assumption, % 4.74/1.00 X8 = sK5). % 4.74/1.00 cnf(c51, plain, % 4.74/1.00 ~big_p(a) | ~sP0(X8), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a13])], [c49, c50])). % 4.74/1.00 cnf(c52, plain, % 4.74/1.00 sP2 | big_p(f(sK5)), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a13])], [c49, c50])). % 4.74/1.00 % 4.74/1.00 cnf(c53, plain, % 4.74/1.00 ~sP2). % 4.74/1.00 cnf(c54, plain, % 4.74/1.00 big_p(f(sK5)), % 4.74/1.00 inference(predicate_reduction, [], [c52, c53])). % 4.74/1.00 % 4.74/1.00 cnf(c55, axiom, % 4.74/1.00 big_p(f(f(X9))) | ~big_p(f(X9)) | ~big_p(a) | ~sP1(X9)). % 4.74/1.00 cnf(a14, assumption, % 4.74/1.00 f(sK5) = f(X9)). % 4.74/1.00 cnf(c56, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a14])], [c54, c55])). % 4.74/1.00 cnf(c57, plain, % 4.74/1.00 big_p(f(f(X9))) | ~big_p(a) | ~sP1(X9), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a14])], [c54, c55])). % 4.74/1.00 % 4.74/1.00 cnf(c58, plain, % 4.74/1.00 ~big_p(f(f(sK5)))). % 4.74/1.00 cnf(a15, assumption, % 4.74/1.00 f(f(X9)) = f(f(sK5))). % 4.74/1.00 cnf(c59, plain, % 4.74/1.00 ~big_p(a) | ~sP1(X9), % 4.74/1.00 inference(predicate_reduction, [assumptions([a15])], [c57, c58])). % 4.74/1.00 % 4.74/1.00 cnf(c60, axiom, % 4.74/1.00 sP2 | big_p(a)). % 4.74/1.00 cnf(a16, assumption, % 4.74/1.00 a = a). % 4.74/1.00 cnf(c61, plain, % 4.74/1.00 ~sP1(X9), % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a16])], [c59, c60])). % 4.74/1.00 cnf(c62, plain, % 4.74/1.00 sP2, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a16])], [c59, c60])). % 4.74/1.00 % 4.74/1.00 cnf(c63, plain, % 4.74/1.00 ~sP2). % 4.74/1.00 cnf(c64, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(predicate_reduction, [], [c62, c63])). % 4.74/1.00 % 4.74/1.00 cnf(c65, axiom, % 4.74/1.00 sP1(X10) | ~sP3). % 4.74/1.00 cnf(a17, assumption, % 4.74/1.00 X9 = X10). % 4.74/1.00 cnf(c66, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a17])], [c61, c65])). % 4.74/1.00 cnf(c67, plain, % 4.74/1.00 ~sP3, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a17])], [c61, c65])). % 4.74/1.00 % 4.74/1.00 cnf(c68, plain, % 4.74/1.00 sP3). % 4.74/1.00 cnf(c69, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(predicate_reduction, [], [c67, c68])). % 4.74/1.00 % 4.74/1.00 cnf(c70, plain, % 4.74/1.00 big_p(a)). % 4.74/1.00 cnf(a18, assumption, % 4.74/1.00 a = a). % 4.74/1.00 cnf(c71, plain, % 4.74/1.00 ~sP0(X8), % 4.74/1.00 inference(predicate_reduction, [assumptions([a18])], [c51, c70])). % 4.74/1.00 % 4.74/1.00 cnf(c72, axiom, % 4.74/1.00 sP0(X11) | ~sP3). % 4.74/1.00 cnf(a19, assumption, % 4.74/1.00 X8 = X11). % 4.74/1.00 cnf(c73, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a19])], [c71, c72])). % 4.74/1.00 cnf(c74, plain, % 4.74/1.00 ~sP3, % 4.74/1.00 inference(strict_predicate_extension, [assumptions([a19])], [c71, c72])). % 4.74/1.00 % 4.74/1.00 cnf(c75, plain, % 4.74/1.00 sP3). % 4.74/1.00 cnf(c76, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(predicate_reduction, [], [c74, c75])). % 4.74/1.00 % 4.74/1.00 cnf(c77, plain, % 4.74/1.00 $false, % 4.74/1.00 inference(constraint_solving, [ % 4.74/1.00 bind(X0, sK4), % 4.74/1.00 bind(X1, sK4), % 4.74/1.00 bind(X2, sK4), % 4.74/1.00 bind(X3, sK4), % 4.74/1.00 bind(X4, sK4), % 4.74/1.00 bind(X5, sK4), % 4.74/1.00 bind(X6, sK4), % 4.74/1.00 bind(X7, sK4), % 4.74/1.00 bind(X8, sK5), % 4.74/1.00 bind(X9, sK5), % 4.74/1.00 bind(X10, sK5), % 4.74/1.00 bind(X11, sK5) % 4.74/1.00 ], % 4.74/1.00 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19])). % 4.74/1.00 % 4.74/1.00 % SZS output end IncompleteProof %------------------------------------------------------------------------------