TSTP Solution File: LDA007-2 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : LDA007-2 : TPTP v8.1.2. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n003.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 : Wed Mar 6 09:10:45 EST 2024
% Result : Unsatisfiable 14.26s 14.44s
% Output : Proof 14.26s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LDA007-2 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Mar 3 22:15:08 EST 2024
% 0.13/0.34 % CPUTime :
% 14.26/14.44 % SZS status Unsatisfiable for theBenchmark
% 14.26/14.44 % SZS output start Proof for theBenchmark
% 14.26/14.44
% 14.26/14.44 % Problem matrix:
% 14.26/14.44 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 14.26/14.44 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 14.26/14.44 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 14.26/14.44 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( f(__eqx_0, __eqx_1) = f(__eqy_0, __eqy_1)) )).
% 14.26/14.44 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( a(__eqx_0, __eqx_1) = a(__eqy_0, __eqy_1)) )).
% 14.26/14.44 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( critical_point(__eqx_0) = critical_point(__eqy_0)) )).
% 14.26/14.44 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~less(__eqx_0, __eqx_1) | less(__eqy_0, __eqy_1) )).
% 14.26/14.44 cnf(matrix-7, plain, ( ( f(X, f(Y, Z)) = f(f(X, Y), f(X, Z))) )).
% 14.26/14.44 cnf(matrix-8, plain, ( ( a(X, a(Y, Z)) = a(f(X, Y), a(X, Z))) )).
% 14.26/14.44 cnf(matrix-9, plain, ( ( critical_point(f(U, V)) = a(U, critical_point(V))) )).
% 14.26/14.44 cnf(matrix-10, plain, ( ~less(X, X) )).
% 14.26/14.44 cnf(matrix-11, plain, ( ~less(X, Y) | less(a(U, X), a(U, Y)) )).
% 14.26/14.44 cnf(matrix-12, plain, ( ( X = a(U, X)) | less(X, a(U, X)) )).
% 14.26/14.44 cnf(matrix-13, plain, ( ~less(X, critical_point(U)) | ( a(U, X) = X) )).
% 14.26/14.44 cnf(matrix-14, plain, ( less(X, critical_point(U)) | less(X, a(U, X)) )).
% 14.26/14.44 cnf(matrix-15, plain, ( ( a(U, X) != X) | ( a(f(V, U), X) = X) )).
% 14.26/14.44 cnf(matrix-16, plain, ( ( tt = f(t, t)) )).
% 14.26/14.44 cnf(matrix-17, plain, ( ( st = f(s, t)) )).
% 14.26/14.44 cnf(matrix-18, plain, ( ( ts = f(t, s)) )).
% 14.26/14.44 cnf(matrix-19, plain, ( ( tt_ts = f(tt, ts)) )).
% 14.26/14.44 cnf(matrix-20, plain, ( ( k = critical_point(t)) )).
% 14.26/14.44 cnf(matrix-21, plain, ( ( sk = f(s, k)) )).
% 14.26/14.44 cnf(matrix-22, plain, ( ( tk = f(t, k)) )).
% 14.26/14.44 cnf(matrix-23, plain, ( ( stk = f(st, k)) )).
% 14.26/14.44 cnf(matrix-24, plain, ( ( tsk = f(ts, k)) )).
% 14.26/14.44 cnf(matrix-25, plain, ( ( ttk = f(tt, k)) )).
% 14.26/14.44 cnf(matrix-26, plain, ( ( f(t, tsk) != f(tt_ts, tk)) )).
% 14.26/14.44
% 14.26/14.44 % Proof stack:
% 14.26/14.44 cnf(proof-stack, plain,
% 14.26/14.44 proof_stack(
% 14.26/14.44 start(26),
% 14.26/14.44 left_branch(0, 2, 2, 2),
% 14.26/14.44 left_branch(0, 3, 2, 3),
% 14.26/14.44 left_branch(0, 1, 1, 4),
% 14.26/14.44 left_branch(0, 0, 0, 5),
% 14.26/14.44 right_branch(5),
% 14.26/14.44 right_branch(4),
% 14.26/14.44 left_branch(0, 24, 0, 5),
% 14.26/14.44 right_branch(5),
% 14.26/14.44 right_branch(3),
% 14.26/14.44 left_branch(0, 2, 2, 4),
% 14.26/14.44 left_branch(0, 7, 0, 5),
% 14.26/14.44 right_branch(5),
% 14.26/14.44 left_branch(0, 3, 2, 6),
% 14.26/14.44 left_branch(0, 2, 2, 7),
% 14.26/14.44 left_branch(0, 3, 2, 8),
% 14.26/14.44 left_branch(0, 1, 1, 9),
% 14.26/14.44 left_branch(0, 0, 0, 10),
% 14.26/14.44 right_branch(10),
% 14.26/14.44 right_branch(9),
% 14.26/14.44 left_branch(0, 18, 0, 10),
% 14.26/14.44 right_branch(10),
% 14.26/14.44 right_branch(8),
% 14.26/14.44 left_branch(0, 2, 2, 9),
% 14.26/14.44 left_branch(0, 7, 0, 10),
% 14.26/14.44 right_branch(10),
% 14.26/14.44 left_branch(0, 1, 1, 11),
% 14.26/14.44 left_branch(0, 2, 2, 12),
% 14.26/14.44 left_branch(0, 19, 0, 13),
% 14.26/14.44 right_branch(13),
% 14.26/14.44 left_branch(0, 3, 2, 14),
% 14.26/14.44 left_branch(0, 16, 0, 15),
% 14.26/14.44 right_branch(15),
% 14.26/14.44 left_branch(0, 18, 0, 16),
% 14.26/14.44 right_branch(16),
% 14.26/14.44 right_branch(14),
% 14.26/14.44 right_branch(12),
% 14.26/14.44 right_branch(11),
% 14.26/14.44 right_branch(9),
% 14.26/14.44 right_branch(7),
% 14.26/14.44 left_branch(0, 2, 2, 8),
% 14.26/14.44 left_branch(0, 3, 2, 9),
% 14.26/14.44 left_branch(0, 1, 1, 10),
% 14.26/14.44 left_branch(0, 0, 0, 11),
% 14.26/14.44 right_branch(11),
% 14.26/14.44 right_branch(10),
% 14.26/14.44 left_branch(0, 20, 0, 11),
% 14.26/14.44 right_branch(11),
% 14.26/14.44 right_branch(9),
% 14.26/14.44 left_branch(0, 1, 1, 10),
% 14.26/14.44 left_branch(0, 2, 2, 11),
% 14.26/14.44 left_branch(0, 22, 0, 12),
% 14.26/14.44 right_branch(12),
% 14.26/14.44 lemmata(0, 3),
% 14.26/14.44 right_branch(11),
% 14.26/14.44 right_branch(10),
% 14.26/14.44 right_branch(8),
% 14.26/14.44 right_branch(6),
% 14.26/14.44 right_branch(4),
% 14.26/14.44 right_branch(2)
% 14.26/14.44 )).
% 14.26/14.44 % SZS output end Proof for theBenchmark
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