TSTP Solution File: SYN084+1 by lazyCoP---0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------