TSTP Solution File: SET983+1 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET983+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n005.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 14:32:55 EDT 2024
% Result : Theorem 0.14s 0.34s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET983+1 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Mar 20 21:52:30 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % SZS status Theorem for theBenchmark
% 0.14/0.34 % SZS output start Proof for theBenchmark
% 0.14/0.34
% 0.14/0.34 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.14/0.34 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.14/0.34
% 0.14/0.34 % Formula: commutativity_k3_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.34 cnf(commutativity_k3_xboole_0-1, axiom, ( ( set_intersection2(_u3, _u2) = set_intersection2(_u2, _u3)) )).
% 0.14/0.34
% 0.14/0.34 % Formula: d3_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.34 cnf(d3_xboole_0-1, axiom, ( ( _u13 != set_intersection2(_u17, _u15)) | ~in(_u9, _u13) | in(_u9, _u17) )).
% 0.14/0.34 cnf(d3_xboole_0-2, axiom, ( ( _u13 != set_intersection2(_u17, _u15)) | ~in(_u9, _u13) | in(_u9, _u15) )).
% 0.14/0.34 cnf(d3_xboole_0-3, axiom, ( ( _u13 != set_intersection2(_u17, _u15)) | ~in(_u10, _u17) | ~in(_u10, _u15) | in(_u10, _u13) )).
% 0.14/0.34 cnf(d3_xboole_0-4, axiom, ( ( _u14 = set_intersection2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | in(skolem2(_u18, _u16, _u14), _u18) )).
% 0.14/0.34 cnf(d3_xboole_0-5, axiom, ( ( _u14 = set_intersection2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | in(skolem2(_u18, _u16, _u14), _u16) )).
% 0.14/0.34 cnf(d3_xboole_0-6, axiom, ( ( _u14 = set_intersection2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 0.14/0.34 cnf(d3_xboole_0-7, axiom, ( ( _u14 = set_intersection2(_u18, _u16)) | ~in(skolem1(_u18, _u16, _u14), _u18) | ~in(skolem1(_u18, _u16, _u14), _u16) | in(skolem2(_u18, _u16, _u14), _u18) )).
% 0.14/0.34 cnf(d3_xboole_0-8, axiom, ( ( _u14 = set_intersection2(_u18, _u16)) | ~in(skolem1(_u18, _u16, _u14), _u18) | ~in(skolem1(_u18, _u16, _u14), _u16) | in(skolem2(_u18, _u16, _u14), _u16) )).
% 0.14/0.34 cnf(d3_xboole_0-9, axiom, ( ( _u14 = set_intersection2(_u18, _u16)) | ~in(skolem1(_u18, _u16, _u14), _u18) | ~in(skolem1(_u18, _u16, _u14), _u16) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 0.14/0.34
% 0.14/0.34 % Formula: idempotence_k3_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.34 cnf(idempotence_k3_xboole_0-1, axiom, ( ( set_intersection2(_u20, _u20) = _u20) )).
% 0.14/0.34
% 0.14/0.34 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.34 cnf(rc1_xboole_0-1, axiom, ( empty(skolem3) )).
% 0.14/0.34
% 0.14/0.34 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.14/0.34 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem4) )).
% 0.14/0.34
% 0.14/0.34 % Formula: t123_zfmisc_1 ( axiom ) converted to clauses:
% 0.14/0.34 cnf(t123_zfmisc_1-1, axiom, ( ( cartesian_product2(set_intersection2(_u26, _u25), set_intersection2(_u24, _u23)) = set_intersection2(cartesian_product2(_u26, _u24), cartesian_product2(_u25, _u23))) )).
% 0.14/0.34
% 0.14/0.34 % Formula: t137_zfmisc_1 ( conjecture ) (definitionally) converted to clauses:
% 0.14/0.34 cnf(t137_zfmisc_1-1, negated_conjecture, ( in(skolem5, cartesian_product2(skolem6, skolem7)) )).
% 0.14/0.34 cnf(t137_zfmisc_1-2, negated_conjecture, ( in(skolem5, cartesian_product2(skolem8, skolem9)) )).
% 0.14/0.34 cnf(t137_zfmisc_1-3, negated_conjecture, ( ~in(skolem5, cartesian_product2(set_intersection2(skolem6, skolem8), set_intersection2(skolem7, skolem9))) )).
% 0.14/0.34
% 0.14/0.34 % Problem matrix:
% 0.14/0.34 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.14/0.34 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.14/0.34 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.14/0.34 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_intersection2(__eqx_0, __eqx_1) = set_intersection2(__eqy_0, __eqy_1)) )).
% 0.14/0.34 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cartesian_product2(__eqx_0, __eqx_1) = cartesian_product2(__eqy_0, __eqy_1)) )).
% 0.14/0.34 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem1(__eqx_0, __eqx_1, __eqx_2) = skolem1(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.14/0.34 cnf(matrix-6, 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)) )).
% 0.14/0.34 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.14/0.34 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.14/0.34 cnf(matrix-9, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.14/0.34 cnf(matrix-10, plain, ( ( set_intersection2(_u3, _u2) = set_intersection2(_u2, _u3)) )).
% 0.14/0.34 cnf(matrix-11, plain, ( ( _u13 != set_intersection2(_u17, _u15)) | ~in(_u9, _u13) | in(_u9, _u17) )).
% 0.14/0.34 cnf(matrix-12, plain, ( ( _u13 != set_intersection2(_u17, _u15)) | ~in(_u9, _u13) | in(_u9, _u15) )).
% 0.14/0.34 cnf(matrix-13, plain, ( ( _u13 != set_intersection2(_u17, _u15)) | ~in(_u10, _u17) | ~in(_u10, _u15) | in(_u10, _u13) )).
% 0.14/0.34 cnf(matrix-14, plain, ( ( _u14 = set_intersection2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | in(skolem2(_u18, _u16, _u14), _u18) )).
% 0.14/0.34 cnf(matrix-15, plain, ( ( _u14 = set_intersection2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | in(skolem2(_u18, _u16, _u14), _u16) )).
% 0.14/0.34 cnf(matrix-16, plain, ( ( _u14 = set_intersection2(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 0.14/0.34 cnf(matrix-17, plain, ( ( _u14 = set_intersection2(_u18, _u16)) | ~in(skolem1(_u18, _u16, _u14), _u18) | ~in(skolem1(_u18, _u16, _u14), _u16) | in(skolem2(_u18, _u16, _u14), _u18) )).
% 0.14/0.34 cnf(matrix-18, plain, ( ( _u14 = set_intersection2(_u18, _u16)) | ~in(skolem1(_u18, _u16, _u14), _u18) | ~in(skolem1(_u18, _u16, _u14), _u16) | in(skolem2(_u18, _u16, _u14), _u16) )).
% 0.14/0.34 cnf(matrix-19, plain, ( ( _u14 = set_intersection2(_u18, _u16)) | ~in(skolem1(_u18, _u16, _u14), _u18) | ~in(skolem1(_u18, _u16, _u14), _u16) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 0.14/0.34 cnf(matrix-20, plain, ( ( set_intersection2(_u20, _u20) = _u20) )).
% 0.14/0.34 cnf(matrix-21, plain, ( empty(skolem3) )).
% 0.14/0.34 cnf(matrix-22, plain, ( ~empty(skolem4) )).
% 0.14/0.34 cnf(matrix-23, plain, ( ( cartesian_product2(set_intersection2(_u26, _u25), set_intersection2(_u24, _u23)) = set_intersection2(cartesian_product2(_u26, _u24), cartesian_product2(_u25, _u23))) )).
% 0.14/0.34 cnf(matrix-24, plain, ( in(skolem5, cartesian_product2(skolem6, skolem7)) )).
% 0.14/0.34 cnf(matrix-25, plain, ( in(skolem5, cartesian_product2(skolem8, skolem9)) )).
% 0.14/0.34 cnf(matrix-26, plain, ( ~in(skolem5, cartesian_product2(set_intersection2(skolem6, skolem8), set_intersection2(skolem7, skolem9))) )).
% 0.14/0.34
% 0.14/0.34 % Proof stack:
% 0.14/0.34 cnf(proof-stack, plain,
% 0.14/0.34 proof_stack(
% 0.14/0.34 start(26),
% 0.14/0.34 left_branch(0, 13, 3, 2),
% 0.14/0.34 left_branch(0, 23, 0, 3),
% 0.14/0.34 right_branch(3),
% 0.14/0.34 left_branch(0, 25, 0, 4),
% 0.14/0.34 right_branch(4),
% 0.14/0.34 left_branch(0, 24, 0, 5),
% 0.14/0.34 right_branch(5),
% 0.14/0.34 right_branch(2)
% 0.14/0.34 )).
% 0.14/0.34 % SZS output end Proof for theBenchmark
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