TSTP Solution File: SET890+1 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET890+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 : n026.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 14:32:45 EDT 2024
% Result : Theorem 168.67s 168.84s
% Output : Proof 168.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET890+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n026.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 : Wed Mar 20 22:48:34 EDT 2024
% 0.13/0.33 % CPUTime :
% 168.67/168.84 % SZS status Theorem for theBenchmark
% 168.67/168.84 % SZS output start Proof for theBenchmark
% 168.67/168.84
% 168.67/168.84 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 168.67/168.84 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 168.67/168.84
% 168.67/168.84 % Formula: d10_xboole_0 ( axiom ) converted to clauses:
% 168.67/168.84 cnf(d10_xboole_0-1, axiom, ( ( _u6 != _u4) | subset(_u6, _u4) )).
% 168.67/168.84 cnf(d10_xboole_0-2, axiom, ( ( _u6 != _u4) | subset(_u4, _u6) )).
% 168.67/168.84 cnf(d10_xboole_0-3, axiom, ( ~subset(_u7, _u5) | ~subset(_u5, _u7) | ( _u7 = _u5) )).
% 168.67/168.84
% 168.67/168.84 % Formula: d1_tarski ( axiom ) converted to clauses:
% 168.67/168.84 cnf(d1_tarski-1, axiom, ( ( _u16 != singleton(_u18)) | ~in(_u12, _u16) | ( _u12 = _u18) )).
% 168.67/168.84 cnf(d1_tarski-2, axiom, ( ( _u16 != singleton(_u18)) | ( _u13 != _u18) | in(_u13, _u16) )).
% 168.67/168.84 cnf(d1_tarski-3, axiom, ( ( _u17 = singleton(_u19)) | in(skolem1(_u19, _u17), _u17) | ( skolem2(_u19, _u17) = _u19) )).
% 168.67/168.84 cnf(d1_tarski-4, axiom, ( ( _u17 = singleton(_u19)) | in(skolem1(_u19, _u17), _u17) | ~in(skolem2(_u19, _u17), _u17) )).
% 168.67/168.84 cnf(d1_tarski-5, axiom, ( ( _u17 = singleton(_u19)) | ( skolem1(_u19, _u17) != _u19) | ( skolem2(_u19, _u17) = _u19) )).
% 168.67/168.84 cnf(d1_tarski-6, axiom, ( ( _u17 = singleton(_u19)) | ( skolem1(_u19, _u17) != _u19) | ~in(skolem2(_u19, _u17), _u17) )).
% 168.67/168.84
% 168.67/168.84 % Formula: d3_tarski ( axiom ) converted to clauses:
% 168.67/168.84 cnf(d3_tarski-1, axiom, ( ~subset(_u26, _u24) | ~in(_u20, _u26) | in(_u20, _u24) )).
% 168.67/168.84 cnf(d3_tarski-2, axiom, ( subset(_u27, _u25) | in(skolem3(_u27, _u25), _u27) )).
% 168.67/168.84 cnf(d3_tarski-3, axiom, ( subset(_u27, _u25) | ~in(skolem3(_u27, _u25), _u25) )).
% 168.67/168.84
% 168.67/168.84 % Formula: d4_tarski ( axiom ) converted to clauses:
% 168.67/168.84 cnf(d4_tarski-1, axiom, ( ( _u40 != union(_u42)) | ~in(_u36, _u40) | in(_u36, skolem4(_u42, _u40, _u36)) )).
% 168.67/168.84 cnf(d4_tarski-2, axiom, ( ( _u40 != union(_u42)) | ~in(_u36, _u40) | in(skolem4(_u42, _u40, _u36), _u42) )).
% 168.67/168.84 cnf(d4_tarski-3, axiom, ( ( _u40 != union(_u42)) | ~in(_u37, _u29) | ~in(_u29, _u42) | in(_u37, _u40) )).
% 168.67/168.84 cnf(d4_tarski-4, axiom, ( ( _u41 = union(_u43)) | in(skolem5(_u43, _u41), _u41) | in(skolem6(_u43, _u41), skolem7(_u43, _u41)) )).
% 168.67/168.84 cnf(d4_tarski-5, axiom, ( ( _u41 = union(_u43)) | in(skolem5(_u43, _u41), _u41) | in(skolem7(_u43, _u41), _u43) )).
% 168.67/168.84 cnf(d4_tarski-6, axiom, ( ( _u41 = union(_u43)) | in(skolem5(_u43, _u41), _u41) | ~in(skolem6(_u43, _u41), _u41) )).
% 168.67/168.84 cnf(d4_tarski-7, axiom, ( ( _u41 = union(_u43)) | ~in(skolem5(_u43, _u41), _u31) | ~in(_u31, _u43) | in(skolem6(_u43, _u41), skolem7(_u43, _u41)) )).
% 168.67/168.84 cnf(d4_tarski-8, axiom, ( ( _u41 = union(_u43)) | ~in(skolem5(_u43, _u41), _u31) | ~in(_u31, _u43) | in(skolem7(_u43, _u41), _u43) )).
% 168.67/168.84 cnf(d4_tarski-9, axiom, ( ( _u41 = union(_u43)) | ~in(skolem5(_u43, _u41), _u31) | ~in(_u31, _u43) | ~in(skolem6(_u43, _u41), _u41) )).
% 168.67/168.84
% 168.67/168.84 % Formula: l50_zfmisc_1 ( axiom ) converted to clauses:
% 168.67/168.84 cnf(l50_zfmisc_1-1, axiom, ( ~in(_u45, _u44) | subset(_u45, union(_u44)) )).
% 168.67/168.84
% 168.67/168.84 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 168.67/168.84 cnf(rc1_xboole_0-1, axiom, ( empty(skolem8) )).
% 168.67/168.84
% 168.67/168.84 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 168.67/168.84 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem9) )).
% 168.67/168.84
% 168.67/168.84 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 168.67/168.84 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u49, _u49) )).
% 168.67/168.84
% 168.67/168.84 % Formula: t31_zfmisc_1 ( conjecture ) (definitionally) converted to clauses:
% 168.67/168.84 cnf(t31_zfmisc_1-1, negated_conjecture, ( ( union(singleton(skolem10)) != skolem10) )).
% 168.67/168.84
% 168.67/168.84 % Problem matrix:
% 168.67/168.84 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 168.67/168.84 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 168.67/168.84 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 168.67/168.84 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 168.67/168.84 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( union(__eqx_0) = union(__eqy_0)) )).
% 168.67/168.84 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 168.67/168.84 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 168.67/168.84 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 168.67/168.84 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem4(__eqx_0, __eqx_1, __eqx_2) = skolem4(__eqy_0, __eqy_1, __eqy_2)) )).
% 168.67/168.84 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 168.67/168.84 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem6(__eqx_0, __eqx_1) = skolem6(__eqy_0, __eqy_1)) )).
% 168.67/168.84 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem7(__eqx_0, __eqx_1) = skolem7(__eqy_0, __eqy_1)) )).
% 168.67/168.84 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 168.67/168.84 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 168.67/168.84 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 168.67/168.84 cnf(matrix-15, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 168.67/168.84 cnf(matrix-16, plain, ( ( _u6 != _u4) | subset(_u6, _u4) )).
% 168.67/168.84 cnf(matrix-17, plain, ( ( _u6 != _u4) | subset(_u4, _u6) )).
% 168.67/168.84 cnf(matrix-18, plain, ( ~subset(_u7, _u5) | ~subset(_u5, _u7) | ( _u7 = _u5) )).
% 168.67/168.84 cnf(matrix-19, plain, ( ( _u16 != singleton(_u18)) | ~in(_u12, _u16) | ( _u12 = _u18) )).
% 168.67/168.84 cnf(matrix-20, plain, ( ( _u16 != singleton(_u18)) | ( _u13 != _u18) | in(_u13, _u16) )).
% 168.67/168.84 cnf(matrix-21, plain, ( ( _u17 = singleton(_u19)) | in(skolem1(_u19, _u17), _u17) | ( skolem2(_u19, _u17) = _u19) )).
% 168.67/168.84 cnf(matrix-22, plain, ( ( _u17 = singleton(_u19)) | in(skolem1(_u19, _u17), _u17) | ~in(skolem2(_u19, _u17), _u17) )).
% 168.67/168.84 cnf(matrix-23, plain, ( ( _u17 = singleton(_u19)) | ( skolem1(_u19, _u17) != _u19) | ( skolem2(_u19, _u17) = _u19) )).
% 168.67/168.84 cnf(matrix-24, plain, ( ( _u17 = singleton(_u19)) | ( skolem1(_u19, _u17) != _u19) | ~in(skolem2(_u19, _u17), _u17) )).
% 168.67/168.84 cnf(matrix-25, plain, ( ~subset(_u26, _u24) | ~in(_u20, _u26) | in(_u20, _u24) )).
% 168.67/168.84 cnf(matrix-26, plain, ( subset(_u27, _u25) | in(skolem3(_u27, _u25), _u27) )).
% 168.67/168.84 cnf(matrix-27, plain, ( subset(_u27, _u25) | ~in(skolem3(_u27, _u25), _u25) )).
% 168.67/168.84 cnf(matrix-28, plain, ( ( _u40 != union(_u42)) | ~in(_u36, _u40) | in(_u36, skolem4(_u42, _u40, _u36)) )).
% 168.67/168.84 cnf(matrix-29, plain, ( ( _u40 != union(_u42)) | ~in(_u36, _u40) | in(skolem4(_u42, _u40, _u36), _u42) )).
% 168.67/168.84 cnf(matrix-30, plain, ( ( _u40 != union(_u42)) | ~in(_u37, _u29) | ~in(_u29, _u42) | in(_u37, _u40) )).
% 168.67/168.84 cnf(matrix-31, plain, ( ( _u41 = union(_u43)) | in(skolem5(_u43, _u41), _u41) | in(skolem6(_u43, _u41), skolem7(_u43, _u41)) )).
% 168.67/168.84 cnf(matrix-32, plain, ( ( _u41 = union(_u43)) | in(skolem5(_u43, _u41), _u41) | in(skolem7(_u43, _u41), _u43) )).
% 168.67/168.84 cnf(matrix-33, plain, ( ( _u41 = union(_u43)) | in(skolem5(_u43, _u41), _u41) | ~in(skolem6(_u43, _u41), _u41) )).
% 168.67/168.84 cnf(matrix-34, plain, ( ( _u41 = union(_u43)) | ~in(skolem5(_u43, _u41), _u31) | ~in(_u31, _u43) | in(skolem6(_u43, _u41), skolem7(_u43, _u41)) )).
% 168.67/168.84 cnf(matrix-35, plain, ( ( _u41 = union(_u43)) | ~in(skolem5(_u43, _u41), _u31) | ~in(_u31, _u43) | in(skolem7(_u43, _u41), _u43) )).
% 168.67/168.84 cnf(matrix-36, plain, ( ( _u41 = union(_u43)) | ~in(skolem5(_u43, _u41), _u31) | ~in(_u31, _u43) | ~in(skolem6(_u43, _u41), _u41) )).
% 168.67/168.84 cnf(matrix-37, plain, ( ~in(_u45, _u44) | subset(_u45, union(_u44)) )).
% 168.67/168.84 cnf(matrix-38, plain, ( empty(skolem8) )).
% 168.67/168.84 cnf(matrix-39, plain, ( ~empty(skolem9) )).
% 168.67/168.84 cnf(matrix-40, plain, ( subset(_u49, _u49) )).
% 168.67/168.84 cnf(matrix-41, plain, ( ( union(singleton(skolem10)) != skolem10) )).
% 168.67/168.84
% 168.67/168.84 % Proof stack:
% 168.67/168.84 cnf(proof-stack, plain,
% 168.67/168.84 proof_stack(
% 168.67/168.84 start(41),
% 168.67/168.84 left_branch(0, 18, 2, 2),
% 168.67/168.84 left_branch(0, 27, 0, 3),
% 168.67/168.84 left_branch(0, 12, 3, 4),
% 168.67/168.84 left_branch(0, 18, 2, 5),
% 168.67/168.84 left_branch(0, 40, 0, 6),
% 168.67/168.84 right_branch(6),
% 168.67/168.84 lemmata(0, 0),
% 168.67/168.84 right_branch(5),
% 168.67/168.84 left_branch(0, 28, 2, 6),
% 168.67/168.84 left_branch(0, 18, 2, 7),
% 168.67/168.84 left_branch(0, 40, 0, 8),
% 168.67/168.84 right_branch(8),
% 168.67/168.84 lemmata(0, 1),
% 168.67/168.84 right_branch(7),
% 168.67/168.84 left_branch(0, 26, 1, 8),
% 168.67/168.84 reduction(0, 1),
% 168.67/168.84 right_branch(8),
% 168.67/168.84 right_branch(6),
% 168.67/168.84 left_branch(0, 19, 2, 7),
% 168.67/168.84 left_branch(0, 18, 2, 8),
% 168.67/168.84 left_branch(0, 40, 0, 9),
% 168.67/168.84 right_branch(9),
% 168.67/168.84 lemmata(0, 2),
% 168.67/168.84 right_branch(8),
% 168.67/168.84 left_branch(0, 29, 2, 9),
% 168.67/168.84 left_branch(0, 18, 2, 10),
% 168.67/168.84 left_branch(0, 40, 0, 11),
% 168.67/168.84 right_branch(11),
% 168.67/168.84 lemmata(0, 3),
% 168.67/168.84 right_branch(10),
% 168.67/168.84 left_branch(0, 26, 1, 11),
% 168.67/168.84 reduction(0, 1),
% 168.67/168.84 right_branch(11),
% 168.67/168.84 right_branch(9),
% 168.67/168.84 right_branch(7),
% 168.67/168.84 right_branch(4),
% 168.67/168.84 right_branch(3),
% 168.67/168.84 left_branch(0, 37, 1, 4),
% 168.67/168.84 left_branch(0, 20, 2, 5),
% 168.67/168.84 left_branch(0, 19, 2, 6),
% 168.67/168.84 left_branch(0, 18, 2, 7),
% 168.67/168.84 left_branch(0, 40, 0, 8),
% 168.67/168.84 right_branch(8),
% 168.67/168.84 lemmata(0, 1),
% 168.67/168.84 right_branch(7),
% 168.67/168.84 left_branch(0, 12, 3, 8),
% 168.67/168.84 left_branch(0, 18, 2, 9),
% 168.67/168.84 left_branch(0, 40, 0, 10),
% 168.67/168.84 right_branch(10),
% 168.67/168.84 lemmata(0, 2),
% 168.67/168.84 right_branch(9),
% 168.67/168.84 left_branch(0, 20, 2, 10),
% 168.67/168.84 left_branch(0, 0, 0, 11),
% 168.67/168.84 right_branch(11),
% 168.67/168.84 left_branch(0, 0, 0, 12),
% 168.67/168.84 right_branch(12),
% 168.67/168.84 right_branch(10),
% 168.67/168.84 left_branch(0, 18, 2, 11),
% 168.67/168.84 left_branch(0, 40, 0, 12),
% 168.67/168.84 right_branch(12),
% 168.67/168.84 lemmata(0, 4),
% 168.67/168.84 right_branch(11),
% 168.67/168.84 right_branch(8),
% 168.67/168.84 right_branch(6),
% 168.67/168.84 left_branch(0, 18, 2, 7),
% 168.67/168.84 left_branch(0, 40, 0, 8),
% 168.67/168.84 right_branch(8),
% 168.67/168.84 lemmata(0, 2),
% 168.67/168.84 right_branch(7),
% 168.67/168.84 right_branch(5),
% 168.67/168.84 right_branch(4),
% 168.67/168.84 right_branch(2)
% 168.67/168.84 )).
% 168.67/168.84 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------