TSTP Solution File: SEU128+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU128+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 14:33:14 EDT 2024
% Result : Theorem 2.62s 2.82s
% Output : Proof 2.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU128+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Mar 20 14:44:27 EDT 2024
% 0.13/0.35 % CPUTime :
% 2.62/2.82 % SZS status Theorem for theBenchmark
% 2.62/2.82 % SZS output start Proof for theBenchmark
% 2.62/2.82
% 2.62/2.82 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 2.62/2.82 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 2.62/2.82
% 2.62/2.82 % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 2.62/2.82 cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u3, _u2) = set_intersection2(_u2, _u3)) )).
% 2.62/2.82
% 2.62/2.82 % Formula: d3_tarski ( axiom ) converted to clauses:
% 2.62/2.82 cnf(d3_tarski-1, axiom, ( ~subset(_u10, _u8) | ~in(_u4, _u10) | in(_u4, _u8) )).
% 2.62/2.82 cnf(d3_tarski-2, axiom, ( subset(_u11, _u9) | in(skolem1(_u11, _u9), _u11) )).
% 2.62/2.82 cnf(d3_tarski-3, axiom, ( subset(_u11, _u9) | ~in(skolem1(_u11, _u9), _u9) )).
% 2.62/2.82
% 2.62/2.82 % Formula: d3_xboole_0 ( axiom ) converted to clauses:
% 2.62/2.82 cnf(d3_xboole_0-1, axiom, ( ( _u21 != set_intersection2(_u25, _u23)) | ~in(_u17, _u21) | in(_u17, _u25) )).
% 2.62/2.82 cnf(d3_xboole_0-2, axiom, ( ( _u21 != set_intersection2(_u25, _u23)) | ~in(_u17, _u21) | in(_u17, _u23) )).
% 2.62/2.82 cnf(d3_xboole_0-3, axiom, ( ( _u21 != set_intersection2(_u25, _u23)) | ~in(_u18, _u25) | ~in(_u18, _u23) | in(_u18, _u21) )).
% 2.62/2.82 cnf(d3_xboole_0-4, axiom, ( ( _u22 = set_intersection2(_u26, _u24)) | in(skolem2(_u26, _u24, _u22), _u22) | in(skolem3(_u26, _u24, _u22), _u26) )).
% 2.62/2.82 cnf(d3_xboole_0-5, axiom, ( ( _u22 = set_intersection2(_u26, _u24)) | in(skolem2(_u26, _u24, _u22), _u22) | in(skolem3(_u26, _u24, _u22), _u24) )).
% 2.62/2.82 cnf(d3_xboole_0-6, axiom, ( ( _u22 = set_intersection2(_u26, _u24)) | in(skolem2(_u26, _u24, _u22), _u22) | ~in(skolem3(_u26, _u24, _u22), _u22) )).
% 2.62/2.82 cnf(d3_xboole_0-7, axiom, ( ( _u22 = set_intersection2(_u26, _u24)) | ~in(skolem2(_u26, _u24, _u22), _u26) | ~in(skolem2(_u26, _u24, _u22), _u24) | in(skolem3(_u26, _u24, _u22), _u26) )).
% 2.62/2.82 cnf(d3_xboole_0-8, axiom, ( ( _u22 = set_intersection2(_u26, _u24)) | ~in(skolem2(_u26, _u24, _u22), _u26) | ~in(skolem2(_u26, _u24, _u22), _u24) | in(skolem3(_u26, _u24, _u22), _u24) )).
% 2.62/2.82 cnf(d3_xboole_0-9, axiom, ( ( _u22 = set_intersection2(_u26, _u24)) | ~in(skolem2(_u26, _u24, _u22), _u26) | ~in(skolem2(_u26, _u24, _u22), _u24) | ~in(skolem3(_u26, _u24, _u22), _u22) )).
% 2.62/2.82
% 2.62/2.82 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 2.62/2.82 cnf(dt_k1_xboole_0, axiom, $true).
% 2.62/2.82
% 2.62/2.82 % Formula: dt_k3_xboole_0 ( axiom ) converted to clauses:
% 2.62/2.82 cnf(dt_k3_xboole_0, axiom, $true).
% 2.62/2.82
% 2.62/2.82 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 2.62/2.82 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 2.62/2.82
% 2.62/2.82 % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 2.62/2.82 cnf(idempotence_k3_xboole_0-1, axiom, ( ( set_intersection2(_u28, _u28) = _u28) )).
% 2.62/2.82
% 2.62/2.82 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 2.62/2.82 cnf(rc1_xboole_0-1, axiom, ( empty(skolem4) )).
% 2.62/2.82
% 2.62/2.82 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 2.62/2.82 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem5) )).
% 2.62/2.82
% 2.62/2.82 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 2.62/2.82 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u32, _u32) )).
% 2.62/2.82
% 2.62/2.82 % Formula: t19_xboole_1 ( conjecture ) (definitionally) converted to clauses:
% 2.62/2.82 cnf(t19_xboole_1-1, negated_conjecture, ( subset(skolem6, skolem7) )).
% 2.62/2.82 cnf(t19_xboole_1-2, negated_conjecture, ( subset(skolem6, skolem8) )).
% 2.62/2.82 cnf(t19_xboole_1-3, negated_conjecture, ( ~subset(skolem6, set_intersection2(skolem7, skolem8)) )).
% 2.62/2.82
% 2.62/2.82 % Formula: t2_boole ( axiom ) converted to clauses:
% 2.62/2.82 cnf(t2_boole-1, axiom, ( ( set_intersection2(_u36, empty_set) = empty_set) )).
% 2.62/2.82
% 2.62/2.82 % Formula: t6_boole ( axiom ) converted to clauses:
% 2.62/2.82 cnf(t6_boole-1, axiom, ( ~empty(_u37) | ( _u37 = empty_set) )).
% 2.62/2.82
% 2.62/2.82 % Formula: t7_boole ( axiom ) converted to clauses:
% 2.62/2.82 cnf(t7_boole-1, axiom, ( ~in(_u39, _u38) | ~empty(_u38) )).
% 2.62/2.82
% 2.62/2.82 % Formula: t8_boole ( axiom ) converted to clauses:
% 2.62/2.82 cnf(t8_boole-1, axiom, ( ~empty(_u41) | ( _u41 = _u40) | ~empty(_u40) )).
% 2.62/2.82
% 2.62/2.82 % Problem matrix:
% 2.62/2.82 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 2.62/2.82 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 2.62/2.82 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 2.62/2.82 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_intersection2(__eqx_0, __eqx_1) = set_intersection2(__eqy_0, __eqy_1)) )).
% 2.62/2.82 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 2.62/2.82 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem2(__eqx_0, __eqx_1, __eqx_2) = skolem2(__eqy_0, __eqy_1, __eqy_2)) )).
% 2.62/2.82 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem3(__eqx_0, __eqx_1, __eqx_2) = skolem3(__eqy_0, __eqy_1, __eqy_2)) )).
% 2.62/2.82 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 2.62/2.82 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 2.62/2.82 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 2.62/2.82 cnf(matrix-10, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 2.62/2.82 cnf(matrix-11, plain, ( ( set_intersection2(_u3, _u2) = set_intersection2(_u2, _u3)) )).
% 2.62/2.82 cnf(matrix-12, plain, ( ~subset(_u10, _u8) | ~in(_u4, _u10) | in(_u4, _u8) )).
% 2.62/2.82 cnf(matrix-13, plain, ( subset(_u11, _u9) | in(skolem1(_u11, _u9), _u11) )).
% 2.62/2.82 cnf(matrix-14, plain, ( subset(_u11, _u9) | ~in(skolem1(_u11, _u9), _u9) )).
% 2.62/2.82 cnf(matrix-15, plain, ( ( _u21 != set_intersection2(_u25, _u23)) | ~in(_u17, _u21) | in(_u17, _u25) )).
% 2.62/2.82 cnf(matrix-16, plain, ( ( _u21 != set_intersection2(_u25, _u23)) | ~in(_u17, _u21) | in(_u17, _u23) )).
% 2.62/2.82 cnf(matrix-17, plain, ( ( _u21 != set_intersection2(_u25, _u23)) | ~in(_u18, _u25) | ~in(_u18, _u23) | in(_u18, _u21) )).
% 2.62/2.82 cnf(matrix-18, plain, ( ( _u22 = set_intersection2(_u26, _u24)) | in(skolem2(_u26, _u24, _u22), _u22) | in(skolem3(_u26, _u24, _u22), _u26) )).
% 2.62/2.82 cnf(matrix-19, plain, ( ( _u22 = set_intersection2(_u26, _u24)) | in(skolem2(_u26, _u24, _u22), _u22) | in(skolem3(_u26, _u24, _u22), _u24) )).
% 2.62/2.82 cnf(matrix-20, plain, ( ( _u22 = set_intersection2(_u26, _u24)) | in(skolem2(_u26, _u24, _u22), _u22) | ~in(skolem3(_u26, _u24, _u22), _u22) )).
% 2.62/2.82 cnf(matrix-21, plain, ( ( _u22 = set_intersection2(_u26, _u24)) | ~in(skolem2(_u26, _u24, _u22), _u26) | ~in(skolem2(_u26, _u24, _u22), _u24) | in(skolem3(_u26, _u24, _u22), _u26) )).
% 2.62/2.82 cnf(matrix-22, plain, ( ( _u22 = set_intersection2(_u26, _u24)) | ~in(skolem2(_u26, _u24, _u22), _u26) | ~in(skolem2(_u26, _u24, _u22), _u24) | in(skolem3(_u26, _u24, _u22), _u24) )).
% 2.62/2.82 cnf(matrix-23, plain, ( ( _u22 = set_intersection2(_u26, _u24)) | ~in(skolem2(_u26, _u24, _u22), _u26) | ~in(skolem2(_u26, _u24, _u22), _u24) | ~in(skolem3(_u26, _u24, _u22), _u22) )).
% 2.62/2.82 cnf(matrix-24, plain, ( empty(empty_set) )).
% 2.62/2.82 cnf(matrix-25, plain, ( ( set_intersection2(_u28, _u28) = _u28) )).
% 2.62/2.82 cnf(matrix-26, plain, ( empty(skolem4) )).
% 2.62/2.82 cnf(matrix-27, plain, ( ~empty(skolem5) )).
% 2.62/2.82 cnf(matrix-28, plain, ( subset(_u32, _u32) )).
% 2.62/2.82 cnf(matrix-29, plain, ( subset(skolem6, skolem7) )).
% 2.62/2.82 cnf(matrix-30, plain, ( subset(skolem6, skolem8) )).
% 2.62/2.82 cnf(matrix-31, plain, ( ~subset(skolem6, set_intersection2(skolem7, skolem8)) )).
% 2.62/2.82 cnf(matrix-32, plain, ( ( set_intersection2(_u36, empty_set) = empty_set) )).
% 2.62/2.82 cnf(matrix-33, plain, ( ~empty(_u37) | ( _u37 = empty_set) )).
% 2.62/2.82 cnf(matrix-34, plain, ( ~in(_u39, _u38) | ~empty(_u38) )).
% 2.62/2.82 cnf(matrix-35, plain, ( ~empty(_u41) | ( _u41 = _u40) | ~empty(_u40) )).
% 2.62/2.82
% 2.62/2.82 % Proof stack:
% 2.62/2.82 cnf(proof-stack, plain,
% 2.62/2.82 proof_stack(
% 2.62/2.82 start(31),
% 2.62/2.82 left_branch(0, 14, 0, 2),
% 2.62/2.82 left_branch(0, 17, 3, 3),
% 2.62/2.82 left_branch(0, 11, 0, 4),
% 2.62/2.82 right_branch(4),
% 2.62/2.82 left_branch(0, 12, 2, 5),
% 2.62/2.82 left_branch(0, 29, 0, 6),
% 2.62/2.82 right_branch(6),
% 2.62/2.82 left_branch(0, 13, 1, 7),
% 2.62/2.82 reduction(0, 0),
% 2.62/2.82 right_branch(7),
% 2.62/2.82 right_branch(5),
% 2.62/2.82 left_branch(0, 12, 2, 6),
% 2.62/2.82 left_branch(0, 30, 0, 7),
% 2.62/2.82 right_branch(7),
% 2.62/2.82 left_branch(0, 13, 1, 8),
% 2.62/2.82 reduction(0, 0),
% 2.62/2.82 right_branch(8),
% 2.62/2.82 right_branch(6),
% 2.62/2.82 right_branch(3),
% 2.62/2.82 right_branch(2)
% 2.62/2.82 )).
% 2.62/2.82 % SZS output end Proof for theBenchmark
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