TSTP Solution File: SYN077-1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SYN077-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n016.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 : 300s
% DateTime : Mon Mar 25 14:41:46 EDT 2024
% Result : Unsatisfiable 67.88s 68.03s
% Output : Proof 67.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN077-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Mar 20 23:32:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 67.88/68.03 % SZS status Unsatisfiable for theBenchmark
% 67.88/68.03 % SZS output start Proof for theBenchmark
% 67.88/68.03
% 67.88/68.03 % Problem matrix:
% 67.88/68.03 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 67.88/68.03 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 67.88/68.03 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 67.88/68.03 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( f(__eqx_0) = f(__eqy_0)) )).
% 67.88/68.03 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( g(__eqx_0, __eqx_1) = g(__eqy_0, __eqy_1)) )).
% 67.88/68.03 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( h(__eqx_0) = h(__eqy_0)) )).
% 67.88/68.03 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( i(__eqx_0, __eqx_1) = i(__eqy_0, __eqy_1)) )).
% 67.88/68.03 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~big_f(__eqx_0, __eqx_1) | big_f(__eqy_0, __eqy_1) )).
% 67.88/68.03 cnf(matrix-8, plain, ( ~big_f(X, f(Y)) | ( X = Y) )).
% 67.88/68.03 cnf(matrix-9, plain, ( ( X != Y) | big_f(X, f(Y)) )).
% 67.88/68.03 cnf(matrix-10, plain, ( ~big_f(X, a) | ~big_f(X, Y) | big_f(g(X, Y), Y) )).
% 67.88/68.03 cnf(matrix-11, plain, ( ~big_f(X, a) | ~big_f(X, Y) | ~big_f(Z, g(X, Y)) | ~big_f(Z, Y) )).
% 67.88/68.03 cnf(matrix-12, plain, ( big_f(X, h(X)) | big_f(X, a) )).
% 67.88/68.03 cnf(matrix-13, plain, ( ~big_f(X, h(Y)) | big_f(i(Y, X), X) | big_f(Y, a) )).
% 67.88/68.03 cnf(matrix-14, plain, ( big_f(X, a) | big_f(i(X, Y), h(X)) | ~big_f(Y, h(X)) )).
% 67.88/68.03
% 67.88/68.03 % Proof stack:
% 67.88/68.03 cnf(proof-stack, plain,
% 67.88/68.03 proof_stack(
% 67.88/68.03 start(10),
% 67.88/68.03 left_branch(0, 13, 1, 2),
% 67.88/68.03 left_branch(0, 12, 0, 3),
% 67.88/68.03 left_branch(0, 7, 2, 4),
% 67.88/68.03 left_branch(0, 1, 1, 5),
% 67.88/68.03 left_branch(0, 8, 1, 6),
% 67.88/68.03 left_branch(0, 10, 2, 7),
% 67.88/68.03 reduction(0, 2),
% 67.88/68.03 left_branch(0, 9, 1, 9),
% 67.88/68.03 left_branch(0, 0, 0, 10),
% 67.88/68.03 right_branch(10),
% 67.88/68.03 right_branch(9),
% 67.88/68.03 right_branch(7),
% 67.88/68.03 right_branch(6),
% 67.88/68.03 right_branch(5),
% 67.88/68.03 left_branch(0, 11, 2, 6),
% 67.88/68.03 reduction(0, 2),
% 67.88/68.03 left_branch(0, 10, 2, 8),
% 67.88/68.03 lemmata(0, 1),
% 67.88/68.03 left_branch(0, 9, 1, 10),
% 67.88/68.03 left_branch(0, 0, 0, 11),
% 67.88/68.03 right_branch(11),
% 67.88/68.03 right_branch(10),
% 67.88/68.03 right_branch(8),
% 67.88/68.03 left_branch(0, 9, 1, 9),
% 67.88/68.03 left_branch(0, 0, 0, 10),
% 67.88/68.03 right_branch(10),
% 67.88/68.03 right_branch(9),
% 67.88/68.03 right_branch(6),
% 67.88/68.03 lemmata(0, 0),
% 67.88/68.03 right_branch(4),
% 67.88/68.03 right_branch(3),
% 67.88/68.03 left_branch(0, 10, 0, 4),
% 67.88/68.03 left_branch(0, 8, 0, 5),
% 67.88/68.03 left_branch(0, 1, 0, 6),
% 67.88/68.03 left_branch(0, 7, 1, 7),
% 67.88/68.03 reduction(0, 4),
% 67.88/68.03 reduction(0, 1),
% 67.88/68.03 left_branch(0, 11, 2, 10),
% 67.88/68.03 lemmata(0, 2),
% 67.88/68.03 reduction(0, 2),
% 67.88/68.03 left_branch(0, 9, 1, 13),
% 67.88/68.03 left_branch(0, 0, 0, 14),
% 67.88/68.03 right_branch(14),
% 67.88/68.03 right_branch(13),
% 67.88/68.03 right_branch(10),
% 67.88/68.03 right_branch(7),
% 67.88/68.03 right_branch(6),
% 67.88/68.03 right_branch(5),
% 67.88/68.03 left_branch(0, 9, 1, 6),
% 67.88/68.03 left_branch(0, 0, 0, 7),
% 67.88/68.03 right_branch(7),
% 67.88/68.03 right_branch(6),
% 67.88/68.03 right_branch(4),
% 67.88/68.03 right_branch(2),
% 67.88/68.03 left_branch(0, 14, 2, 3),
% 67.88/68.03 left_branch(0, 10, 0, 4),
% 67.88/68.03 left_branch(0, 8, 0, 5),
% 67.88/68.03 left_branch(0, 1, 0, 6),
% 67.88/68.03 left_branch(0, 7, 1, 7),
% 67.88/68.03 reduction(0, 4),
% 67.88/68.03 reduction(0, 1),
% 67.88/68.03 left_branch(0, 11, 2, 10),
% 67.88/68.03 lemmata(0, 2),
% 67.88/68.03 reduction(0, 2),
% 67.88/68.03 left_branch(0, 9, 1, 13),
% 67.88/68.03 left_branch(0, 0, 0, 14),
% 67.88/68.03 right_branch(14),
% 67.88/68.03 right_branch(13),
% 67.88/68.03 right_branch(10),
% 67.88/68.03 right_branch(7),
% 67.88/68.03 right_branch(6),
% 67.88/68.03 right_branch(5),
% 67.88/68.03 left_branch(0, 9, 1, 6),
% 67.88/68.03 left_branch(0, 0, 0, 7),
% 67.88/68.03 right_branch(7),
% 67.88/68.03 right_branch(6),
% 67.88/68.03 right_branch(4),
% 67.88/68.03 left_branch(0, 11, 3, 5),
% 67.88/68.03 left_branch(0, 13, 1, 6),
% 67.88/68.03 left_branch(0, 12, 0, 7),
% 67.88/68.03 lemmata(0, 1),
% 67.88/68.03 right_branch(7),
% 67.88/68.03 lemmata(0, 1),
% 67.88/68.03 right_branch(6),
% 67.88/68.03 left_branch(0, 13, 1, 7),
% 67.88/68.03 reduction(0, 0),
% 67.88/68.03 lemmata(0, 1),
% 67.88/68.03 right_branch(7),
% 67.88/68.03 left_branch(0, 14, 1, 8),
% 67.88/68.03 lemmata(0, 1),
% 67.88/68.03 left_branch(0, 12, 0, 10),
% 67.88/68.03 lemmata(0, 1),
% 67.88/68.03 right_branch(10),
% 67.88/68.03 right_branch(8),
% 67.88/68.03 right_branch(5),
% 67.88/68.03 right_branch(3),
% 67.88/68.03 left_branch(0, 14, 1, 4),
% 67.88/68.03 left_branch(0, 10, 0, 5),
% 67.88/68.03 left_branch(0, 8, 0, 6),
% 67.88/68.03 left_branch(0, 1, 0, 7),
% 67.88/68.03 left_branch(0, 7, 1, 8),
% 67.88/68.03 reduction(0, 4),
% 67.88/68.03 reduction(0, 1),
% 67.88/68.03 left_branch(0, 11, 2, 11),
% 67.88/68.03 lemmata(0, 3),
% 67.88/68.03 reduction(0, 2),
% 67.88/68.03 left_branch(0, 9, 1, 14),
% 67.88/68.03 left_branch(0, 0, 0, 15),
% 67.88/68.03 right_branch(15),
% 67.88/68.03 right_branch(14),
% 67.88/68.03 right_branch(11),
% 67.88/68.03 right_branch(8),
% 67.88/68.03 right_branch(7),
% 67.88/68.03 right_branch(6),
% 67.88/68.03 left_branch(0, 9, 1, 7),
% 67.88/68.03 left_branch(0, 0, 0, 8),
% 67.88/68.03 right_branch(8),
% 67.88/68.03 right_branch(7),
% 67.88/68.03 right_branch(5),
% 67.88/68.03 left_branch(0, 12, 0, 6),
% 67.88/68.03 lemmata(0, 2),
% 67.88/68.03 right_branch(6),
% 67.88/68.03 right_branch(4)
% 67.88/68.03 )).
% 67.88/68.03 % SZS output end Proof for theBenchmark
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