TSTP Solution File: SEU162+1 by ConnectPP---0.2.2
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% File : ConnectPP---0.2.2
% Problem : SEU162+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : Wed Mar 6 09:20:24 EST 2024
% Result : Theorem 162.43s 162.68s
% Output : Proof 162.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU162+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % 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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Mar 3 10:36:43 EST 2024
% 0.12/0.34 % CPUTime :
% 162.43/162.68 % SZS status Theorem for theBenchmark
% 162.43/162.68 % SZS output start Proof for theBenchmark
% 162.43/162.68
% 162.43/162.68 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 162.43/162.68 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 162.43/162.68
% 162.43/162.68 % Formula: dt_k1_tarski ( axiom ) converted to clauses:
% 162.43/162.68
% 162.43/162.68 % Formula: dt_k4_xboole_0 ( axiom ) converted to clauses:
% 162.43/162.68
% 162.43/162.68 % Formula: l25_zfmisc_1 ( axiom ) converted to clauses:
% 162.43/162.68 cnf(l25_zfmisc_1-1, axiom, ( ~disjoint(singleton(_u3), _u2) | ~in(_u3, _u2) )).
% 162.43/162.68
% 162.43/162.68 % Formula: l28_zfmisc_1 ( axiom ) converted to clauses:
% 162.43/162.68 cnf(l28_zfmisc_1-1, axiom, ( in(_u5, _u4) | disjoint(singleton(_u5), _u4) )).
% 162.43/162.68
% 162.43/162.68 % Formula: symmetry_r1_xboole_0 ( axiom ) converted to clauses:
% 162.43/162.68 cnf(symmetry_r1_xboole_0-1, axiom, ( ~disjoint(_u7, _u6) | disjoint(_u6, _u7) )).
% 162.43/162.68
% 162.43/162.68 % Formula: t65_zfmisc_1 ( conjecture ) converted to clauses:
% 162.43/162.68 cnf(t65_zfmisc_1-1, negated_conjecture, ( ( set_difference(skolem1, singleton(skolem2)) = skolem1) | ~in(skolem4, skolem3) )).
% 162.43/162.68 cnf(t65_zfmisc_1-2, negated_conjecture, ( ( set_difference(skolem1, singleton(skolem2)) = skolem1) | ( set_difference(skolem3, singleton(skolem4)) != skolem3) )).
% 162.43/162.68 cnf(t65_zfmisc_1-3, negated_conjecture, ( in(skolem2, skolem1) | ~in(skolem4, skolem3) )).
% 162.43/162.68 cnf(t65_zfmisc_1-4, negated_conjecture, ( in(skolem2, skolem1) | ( set_difference(skolem3, singleton(skolem4)) != skolem3) )).
% 162.43/162.68
% 162.43/162.68 % Formula: t83_xboole_1 ( axiom ) converted to clauses:
% 162.43/162.68 cnf(t83_xboole_1-1, axiom, ( ~disjoint(_u18, _u16) | ( set_difference(_u18, _u16) = _u18) )).
% 162.43/162.68 cnf(t83_xboole_1-2, axiom, ( ( set_difference(_u19, _u17) != _u19) | disjoint(_u19, _u17) )).
% 162.43/162.68
% 162.43/162.68 % Problem matrix:
% 162.43/162.68 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 162.43/162.68 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 162.43/162.68 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 162.43/162.68 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 162.43/162.68 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_difference(__eqx_0, __eqx_1) = set_difference(__eqy_0, __eqy_1)) )).
% 162.43/162.68 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 162.43/162.68 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~disjoint(__eqx_0, __eqx_1) | disjoint(__eqy_0, __eqy_1) )).
% 162.43/162.68 cnf(matrix-7, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 162.43/162.68 cnf(matrix-8, plain, ( ~disjoint(singleton(_u3), _u2) | ~in(_u3, _u2) )).
% 162.43/162.68 cnf(matrix-9, plain, ( in(_u5, _u4) | disjoint(singleton(_u5), _u4) )).
% 162.43/162.68 cnf(matrix-10, plain, ( ~disjoint(_u7, _u6) | disjoint(_u6, _u7) )).
% 162.43/162.68 cnf(matrix-11, plain, ( ( set_difference(skolem1, singleton(skolem2)) = skolem1) | ~in(skolem4, skolem3) )).
% 162.43/162.68 cnf(matrix-12, plain, ( ( set_difference(skolem1, singleton(skolem2)) = skolem1) | ( set_difference(skolem3, singleton(skolem4)) != skolem3) )).
% 162.43/162.68 cnf(matrix-13, plain, ( in(skolem2, skolem1) | ~in(skolem4, skolem3) )).
% 162.43/162.68 cnf(matrix-14, plain, ( in(skolem2, skolem1) | ( set_difference(skolem3, singleton(skolem4)) != skolem3) )).
% 162.43/162.68 cnf(matrix-15, plain, ( ~disjoint(_u18, _u16) | ( set_difference(_u18, _u16) = _u18) )).
% 162.43/162.68 cnf(matrix-16, plain, ( ( set_difference(_u19, _u17) != _u19) | disjoint(_u19, _u17) )).
% 162.43/162.68
% 162.43/162.68 % Proof stack:
% 162.43/162.68 cnf(proof-stack, plain,
% 162.43/162.68 proof_stack(
% 162.43/162.68 start(11),
% 162.43/162.68 left_branch(0, 16, 0, 2),
% 162.43/162.68 left_branch(0, 10, 0, 3),
% 162.43/162.68 left_branch(0, 8, 0, 4),
% 162.43/162.68 left_branch(0, 14, 0, 5),
% 162.43/162.68 left_branch(0, 15, 1, 6),
% 162.43/162.68 left_branch(0, 10, 1, 7),
% 162.43/162.68 left_branch(0, 9, 1, 8),
% 162.43/162.68 left_branch(0, 13, 1, 9),
% 162.43/162.68 reduction(0, 3),
% 162.43/162.68 right_branch(9),
% 162.43/162.68 right_branch(8),
% 162.43/162.68 right_branch(7),
% 162.43/162.68 right_branch(6),
% 162.43/162.68 right_branch(5),
% 162.43/162.68 right_branch(4),
% 162.43/162.68 right_branch(3),
% 162.43/162.68 right_branch(2),
% 162.43/162.68 left_branch(0, 9, 0, 3),
% 162.43/162.68 left_branch(0, 15, 0, 4),
% 162.43/162.68 left_branch(0, 6, 0, 5),
% 162.43/162.68 left_branch(0, 10, 0, 6),
% 162.43/162.68 left_branch(0, 15, 0, 7),
% 162.43/162.68 left_branch(0, 12, 1, 8),
% 162.43/162.68 lemmata(0, 0),
% 162.43/162.68 right_branch(8),
% 162.43/162.68 right_branch(7),
% 162.43/162.68 right_branch(6),
% 162.43/162.68 left_branch(0, 16, 1, 7),
% 162.43/162.68 left_branch(0, 4, 2, 8),
% 162.43/162.68 reduction(0, 2),
% 162.43/162.68 left_branch(0, 15, 1, 10),
% 162.43/162.68 left_branch(0, 10, 1, 11),
% 162.43/162.68 reduction(0, 1),
% 162.43/162.68 right_branch(11),
% 162.43/162.68 right_branch(10),
% 162.43/162.68 right_branch(8),
% 162.43/162.68 right_branch(7),
% 162.43/162.68 left_branch(0, 15, 1, 8),
% 162.43/162.68 left_branch(0, 10, 1, 9),
% 162.43/162.68 reduction(0, 1),
% 162.43/162.68 right_branch(9),
% 162.43/162.68 right_branch(8),
% 162.43/162.68 right_branch(5),
% 162.43/162.68 right_branch(4),
% 162.43/162.68 right_branch(3)
% 162.43/162.68 )).
% 162.43/162.68 % SZS output end Proof for theBenchmark
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