TSTP Solution File: SEU140+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU140+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 : n022.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 14:33:16 EDT 2024
% Result : Theorem 73.98s 74.14s
% Output : Proof 73.98s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU140+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n022.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 14:20:42 EDT 2024
% 0.12/0.33 % CPUTime :
% 73.98/74.14 % SZS status Theorem for theBenchmark
% 73.98/74.14 % SZS output start Proof for theBenchmark
% 73.98/74.14
% 73.98/74.14 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 73.98/74.14 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 73.98/74.14
% 73.98/74.14 % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 73.98/74.14 cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u3, _u2) = set_intersection2(_u2, _u3)) )).
% 73.98/74.14
% 73.98/74.14 % Formula: d7_xboole_0 ( axiom ) converted to clauses:
% 73.98/74.14 cnf(d7_xboole_0-1, axiom, ( ~disjoint(_u8, _u6) | ( set_intersection2(_u8, _u6) = empty_set) )).
% 73.98/74.14 cnf(d7_xboole_0-2, axiom, ( ( set_intersection2(_u9, _u7) != empty_set) | disjoint(_u9, _u7) )).
% 73.98/74.14
% 73.98/74.14 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 73.98/74.14 cnf(dt_k1_xboole_0, axiom, $true).
% 73.98/74.14
% 73.98/74.14 % Formula: dt_k3_xboole_0 ( axiom ) converted to clauses:
% 73.98/74.14 cnf(dt_k3_xboole_0, axiom, $true).
% 73.98/74.14
% 73.98/74.14 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 73.98/74.14 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 73.98/74.14
% 73.98/74.14 % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 73.98/74.14 cnf(idempotence_k3_xboole_0-1, axiom, ( ( set_intersection2(_u11, _u11) = _u11) )).
% 73.98/74.14
% 73.98/74.14 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 73.98/74.14 cnf(rc1_xboole_0-1, axiom, ( empty(skolem1) )).
% 73.98/74.14
% 73.98/74.14 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 73.98/74.14 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem2) )).
% 73.98/74.14
% 73.98/74.14 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 73.98/74.14 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u15, _u15) )).
% 73.98/74.14
% 73.98/74.14 % Formula: symmetry_r1_xboole_0 ( axiom ) converted to clauses:
% 73.98/74.14 cnf(symmetry_r1_xboole_0-1, axiom, ( ~disjoint(_u17, _u16) | disjoint(_u16, _u17) )).
% 73.98/74.14
% 73.98/74.14 % Formula: t26_xboole_1 ( axiom ) converted to clauses:
% 73.98/74.14 cnf(t26_xboole_1-1, axiom, ( ~subset(_u20, _u19) | subset(set_intersection2(_u20, _u18), set_intersection2(_u19, _u18)) )).
% 73.98/74.14
% 73.98/74.14 % Formula: t2_boole ( axiom ) converted to clauses:
% 73.98/74.14 cnf(t2_boole-1, axiom, ( ( set_intersection2(_u21, empty_set) = empty_set) )).
% 73.98/74.14
% 73.98/74.14 % Formula: t3_xboole_1 ( axiom ) converted to clauses:
% 73.98/74.14 cnf(t3_xboole_1-1, axiom, ( ~subset(_u22, empty_set) | ( _u22 = empty_set) )).
% 73.98/74.14
% 73.98/74.14 % Formula: t63_xboole_1 ( conjecture ) (definitionally) converted to clauses:
% 73.98/74.14 cnf(t63_xboole_1-1, negated_conjecture, ( subset(skolem3, skolem4) )).
% 73.98/74.14 cnf(t63_xboole_1-2, negated_conjecture, ( disjoint(skolem4, skolem5) )).
% 73.98/74.14 cnf(t63_xboole_1-3, negated_conjecture, ( ~disjoint(skolem3, skolem5) )).
% 73.98/74.14
% 73.98/74.14 % Formula: t6_boole ( axiom ) converted to clauses:
% 73.98/74.14 cnf(t6_boole-1, axiom, ( ~empty(_u26) | ( _u26 = empty_set) )).
% 73.98/74.14
% 73.98/74.14 % Formula: t7_boole ( axiom ) converted to clauses:
% 73.98/74.14 cnf(t7_boole-1, axiom, ( ~in(_u28, _u27) | ~empty(_u27) )).
% 73.98/74.14
% 73.98/74.14 % Formula: t8_boole ( axiom ) converted to clauses:
% 73.98/74.14 cnf(t8_boole-1, axiom, ( ~empty(_u30) | ( _u30 = _u29) | ~empty(_u29) )).
% 73.98/74.14
% 73.98/74.14 % Problem matrix:
% 73.98/74.14 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 73.98/74.14 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 73.98/74.14 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 73.98/74.14 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_intersection2(__eqx_0, __eqx_1) = set_intersection2(__eqy_0, __eqy_1)) )).
% 73.98/74.14 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 73.98/74.14 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~disjoint(__eqx_0, __eqx_1) | disjoint(__eqy_0, __eqy_1) )).
% 73.98/74.14 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 73.98/74.14 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 73.98/74.14 cnf(matrix-8, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 73.98/74.14 cnf(matrix-9, plain, ( ( set_intersection2(_u3, _u2) = set_intersection2(_u2, _u3)) )).
% 73.98/74.14 cnf(matrix-10, plain, ( ~disjoint(_u8, _u6) | ( set_intersection2(_u8, _u6) = empty_set) )).
% 73.98/74.14 cnf(matrix-11, plain, ( ( set_intersection2(_u9, _u7) != empty_set) | disjoint(_u9, _u7) )).
% 73.98/74.14 cnf(matrix-12, plain, ( empty(empty_set) )).
% 73.98/74.14 cnf(matrix-13, plain, ( ( set_intersection2(_u11, _u11) = _u11) )).
% 73.98/74.14 cnf(matrix-14, plain, ( empty(skolem1) )).
% 73.98/74.14 cnf(matrix-15, plain, ( ~empty(skolem2) )).
% 73.98/74.14 cnf(matrix-16, plain, ( subset(_u15, _u15) )).
% 73.98/74.14 cnf(matrix-17, plain, ( ~disjoint(_u17, _u16) | disjoint(_u16, _u17) )).
% 73.98/74.14 cnf(matrix-18, plain, ( ~subset(_u20, _u19) | subset(set_intersection2(_u20, _u18), set_intersection2(_u19, _u18)) )).
% 73.98/74.14 cnf(matrix-19, plain, ( ( set_intersection2(_u21, empty_set) = empty_set) )).
% 73.98/74.14 cnf(matrix-20, plain, ( ~subset(_u22, empty_set) | ( _u22 = empty_set) )).
% 73.98/74.14 cnf(matrix-21, plain, ( subset(skolem3, skolem4) )).
% 73.98/74.14 cnf(matrix-22, plain, ( disjoint(skolem4, skolem5) )).
% 73.98/74.14 cnf(matrix-23, plain, ( ~disjoint(skolem3, skolem5) )).
% 73.98/74.14 cnf(matrix-24, plain, ( ~empty(_u26) | ( _u26 = empty_set) )).
% 73.98/74.14 cnf(matrix-25, plain, ( ~in(_u28, _u27) | ~empty(_u27) )).
% 73.98/74.14 cnf(matrix-26, plain, ( ~empty(_u30) | ( _u30 = _u29) | ~empty(_u29) )).
% 73.98/74.14
% 73.98/74.14 % Proof stack:
% 73.98/74.14 cnf(proof-stack, plain,
% 73.98/74.14 proof_stack(
% 73.98/74.14 start(23),
% 73.98/74.14 left_branch(0, 11, 1, 2),
% 73.98/74.14 left_branch(0, 20, 1, 3),
% 73.98/74.14 left_branch(0, 7, 3, 4),
% 73.98/74.14 left_branch(0, 13, 0, 5),
% 73.98/74.14 right_branch(5),
% 73.98/74.14 left_branch(0, 18, 1, 6),
% 73.98/74.14 left_branch(0, 18, 1, 7),
% 73.98/74.14 left_branch(0, 21, 0, 8),
% 73.98/74.14 right_branch(8),
% 73.98/74.14 right_branch(7),
% 73.98/74.14 right_branch(6),
% 73.98/74.14 left_branch(0, 10, 1, 7),
% 73.98/74.14 left_branch(0, 17, 1, 8),
% 73.98/74.14 left_branch(0, 5, 3, 9),
% 73.98/74.14 left_branch(0, 13, 0, 10),
% 73.98/74.14 right_branch(10),
% 73.98/74.14 left_branch(0, 11, 1, 11),
% 73.98/74.14 left_branch(0, 19, 0, 12),
% 73.98/74.14 right_branch(12),
% 73.98/74.14 right_branch(11),
% 73.98/74.14 left_branch(0, 1, 1, 12),
% 73.98/74.14 left_branch(0, 10, 1, 13),
% 73.98/74.14 left_branch(0, 22, 0, 14),
% 73.98/74.14 right_branch(14),
% 73.98/74.14 right_branch(13),
% 73.98/74.14 right_branch(12),
% 73.98/74.14 right_branch(9),
% 73.98/74.14 right_branch(8),
% 73.98/74.14 right_branch(7),
% 73.98/74.14 right_branch(4),
% 73.98/74.14 right_branch(3),
% 73.98/74.14 right_branch(2)
% 73.98/74.14 )).
% 73.98/74.14 % SZS output end Proof for theBenchmark
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