TSTP Solution File: SET949+1 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET949+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 : n027.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 09:20:03 EST 2024
% Result : Theorem 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET949+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Mar 3 19:51:42 EST 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.42 % SZS status Theorem for theBenchmark
% 0.19/0.42 % SZS output start Proof for theBenchmark
% 0.19/0.42
% 0.19/0.42 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.19/0.42 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.19/0.42
% 0.19/0.42 % Formula: commutativity_k2_tarski ( axiom ) converted to clauses:
% 0.19/0.42 cnf(commutativity_k2_tarski-1, axiom, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: d2_zfmisc_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(d2_zfmisc_1-1, axiom, ( ( _u21 != cartesian_product2(_u25, _u23)) | ~in(_u17, _u21) | in(skolem1(_u25, _u23, _u21, _u17), _u25) )).
% 0.19/0.42 cnf(d2_zfmisc_1-2, axiom, ( ( _u21 != cartesian_product2(_u25, _u23)) | ~in(_u17, _u21) | in(skolem2(_u25, _u23, _u21, _u17), _u23) )).
% 0.19/0.42 cnf(d2_zfmisc_1-3, axiom, ( ( _u21 != cartesian_product2(_u25, _u23)) | ~in(_u17, _u21) | ( _u17 = ordered_pair(skolem1(_u25, _u23, _u21, _u17), skolem2(_u25, _u23, _u21, _u17))) )).
% 0.19/0.42 cnf(d2_zfmisc_1-4, axiom, ( ( _u21 != cartesian_product2(_u25, _u23)) | ~in(_u7, _u25) | ~in(_u6, _u23) | ( _u18 != ordered_pair(_u7, _u6)) | in(_u18, _u21) )).
% 0.19/0.42 cnf(d2_zfmisc_1-5, axiom, ( ( _u22 = cartesian_product2(_u26, _u24)) | in(skolem3(_u26, _u24, _u22), _u22) | in(skolem5(_u26, _u24, _u22), _u26) )).
% 0.19/0.42 cnf(d2_zfmisc_1-6, axiom, ( ( _u22 = cartesian_product2(_u26, _u24)) | in(skolem3(_u26, _u24, _u22), _u22) | in(skolem6(_u26, _u24, _u22), _u24) )).
% 0.19/0.42 cnf(d2_zfmisc_1-7, axiom, ( ( _u22 = cartesian_product2(_u26, _u24)) | in(skolem3(_u26, _u24, _u22), _u22) | ( skolem4(_u26, _u24, _u22) = ordered_pair(skolem5(_u26, _u24, _u22), skolem6(_u26, _u24, _u22))) )).
% 0.19/0.42 cnf(d2_zfmisc_1-8, axiom, ( ( _u22 = cartesian_product2(_u26, _u24)) | in(skolem3(_u26, _u24, _u22), _u22) | ~in(skolem4(_u26, _u24, _u22), _u22) )).
% 0.19/0.42 cnf(d2_zfmisc_1-9, axiom, ( ( _u22 = cartesian_product2(_u26, _u24)) | ~in(_u10, _u26) | ~in(_u9, _u24) | ( skolem3(_u26, _u24, _u22) != ordered_pair(_u10, _u9)) | in(skolem5(_u26, _u24, _u22), _u26) )).
% 0.19/0.42 cnf(d2_zfmisc_1-10, axiom, ( ( _u22 = cartesian_product2(_u26, _u24)) | ~in(_u10, _u26) | ~in(_u9, _u24) | ( skolem3(_u26, _u24, _u22) != ordered_pair(_u10, _u9)) | in(skolem6(_u26, _u24, _u22), _u24) )).
% 0.19/0.42 cnf(d2_zfmisc_1-11, axiom, ( ( _u22 = cartesian_product2(_u26, _u24)) | ~in(_u10, _u26) | ~in(_u9, _u24) | ( skolem3(_u26, _u24, _u22) != ordered_pair(_u10, _u9)) | ( skolem4(_u26, _u24, _u22) = ordered_pair(skolem5(_u26, _u24, _u22), skolem6(_u26, _u24, _u22))) )).
% 0.19/0.42 cnf(d2_zfmisc_1-12, axiom, ( ( _u22 = cartesian_product2(_u26, _u24)) | ~in(_u10, _u26) | ~in(_u9, _u24) | ( skolem3(_u26, _u24, _u22) != ordered_pair(_u10, _u9)) | ~in(skolem4(_u26, _u24, _u22), _u22) )).
% 0.19/0.42
% 0.19/0.42 % Formula: d5_tarski ( axiom ) converted to clauses:
% 0.19/0.42 cnf(d5_tarski-1, axiom, ( ( ordered_pair(_u28, _u27) = unordered_pair(unordered_pair(_u28, _u27), singleton(_u28))) )).
% 0.19/0.42
% 0.19/0.42 % Formula: fc1_zfmisc_1 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(fc1_zfmisc_1-1, axiom, ( ~empty(ordered_pair(_u30, _u29)) )).
% 0.19/0.42
% 0.19/0.42 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(rc1_xboole_0-1, axiom, ( empty(skolem7) )).
% 0.19/0.42
% 0.19/0.42 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.19/0.42 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem8) )).
% 0.19/0.42
% 0.19/0.42 % Formula: t102_zfmisc_1 ( conjecture ) converted to clauses:
% 0.19/0.42 cnf(t102_zfmisc_1-1, negated_conjecture, ( ( ordered_pair(_u34, _u33) != skolem9) )).
% 0.19/0.42 cnf(t102_zfmisc_1-2, negated_conjecture, ( in(skolem9, cartesian_product2(skolem10, skolem11)) )).
% 0.19/0.42
% 0.19/0.42 % Problem matrix:
% 0.19/0.42 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.19/0.42 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.19/0.42 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.19/0.42 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 0.19/0.42 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( cartesian_product2(__eqx_0, __eqx_1) = cartesian_product2(__eqy_0, __eqy_1)) )).
% 0.19/0.42 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( ordered_pair(__eqx_0, __eqx_1) = ordered_pair(__eqy_0, __eqy_1)) )).
% 0.19/0.42 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 0.19/0.42 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem1(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem1(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.19/0.42 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem2(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem2(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 0.19/0.42 cnf(matrix-9, 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)) )).
% 0.19/0.42 cnf(matrix-10, 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)) )).
% 0.19/0.42 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem5(__eqx_0, __eqx_1, __eqx_2) = skolem5(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.19/0.42 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem6(__eqx_0, __eqx_1, __eqx_2) = skolem6(__eqy_0, __eqy_1, __eqy_2)) )).
% 0.19/0.42 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.19/0.42 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.19/0.42 cnf(matrix-15, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.19/0.42 cnf(matrix-16, plain, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 0.19/0.42 cnf(matrix-17, plain, ( ( _u21 != cartesian_product2(_u25, _u23)) | ~in(_u17, _u21) | in(skolem1(_u25, _u23, _u21, _u17), _u25) )).
% 0.19/0.42 cnf(matrix-18, plain, ( ( _u21 != cartesian_product2(_u25, _u23)) | ~in(_u17, _u21) | in(skolem2(_u25, _u23, _u21, _u17), _u23) )).
% 0.19/0.42 cnf(matrix-19, plain, ( ( _u21 != cartesian_product2(_u25, _u23)) | ~in(_u17, _u21) | ( _u17 = ordered_pair(skolem1(_u25, _u23, _u21, _u17), skolem2(_u25, _u23, _u21, _u17))) )).
% 0.19/0.42 cnf(matrix-20, plain, ( ( _u21 != cartesian_product2(_u25, _u23)) | ~in(_u7, _u25) | ~in(_u6, _u23) | ( _u18 != ordered_pair(_u7, _u6)) | in(_u18, _u21) )).
% 0.19/0.42 cnf(matrix-21, plain, ( ( _u22 = cartesian_product2(_u26, _u24)) | in(skolem3(_u26, _u24, _u22), _u22) | in(skolem5(_u26, _u24, _u22), _u26) )).
% 0.19/0.42 cnf(matrix-22, plain, ( ( _u22 = cartesian_product2(_u26, _u24)) | in(skolem3(_u26, _u24, _u22), _u22) | in(skolem6(_u26, _u24, _u22), _u24) )).
% 0.19/0.42 cnf(matrix-23, plain, ( ( _u22 = cartesian_product2(_u26, _u24)) | in(skolem3(_u26, _u24, _u22), _u22) | ( skolem4(_u26, _u24, _u22) = ordered_pair(skolem5(_u26, _u24, _u22), skolem6(_u26, _u24, _u22))) )).
% 0.19/0.42 cnf(matrix-24, plain, ( ( _u22 = cartesian_product2(_u26, _u24)) | in(skolem3(_u26, _u24, _u22), _u22) | ~in(skolem4(_u26, _u24, _u22), _u22) )).
% 0.19/0.42 cnf(matrix-25, plain, ( ( _u22 = cartesian_product2(_u26, _u24)) | ~in(_u10, _u26) | ~in(_u9, _u24) | ( skolem3(_u26, _u24, _u22) != ordered_pair(_u10, _u9)) | in(skolem5(_u26, _u24, _u22), _u26) )).
% 0.19/0.42 cnf(matrix-26, plain, ( ( _u22 = cartesian_product2(_u26, _u24)) | ~in(_u10, _u26) | ~in(_u9, _u24) | ( skolem3(_u26, _u24, _u22) != ordered_pair(_u10, _u9)) | in(skolem6(_u26, _u24, _u22), _u24) )).
% 0.19/0.42 cnf(matrix-27, plain, ( ( _u22 = cartesian_product2(_u26, _u24)) | ~in(_u10, _u26) | ~in(_u9, _u24) | ( skolem3(_u26, _u24, _u22) != ordered_pair(_u10, _u9)) | ( skolem4(_u26, _u24, _u22) = ordered_pair(skolem5(_u26, _u24, _u22), skolem6(_u26, _u24, _u22))) )).
% 0.19/0.42 cnf(matrix-28, plain, ( ( _u22 = cartesian_product2(_u26, _u24)) | ~in(_u10, _u26) | ~in(_u9, _u24) | ( skolem3(_u26, _u24, _u22) != ordered_pair(_u10, _u9)) | ~in(skolem4(_u26, _u24, _u22), _u22) )).
% 0.19/0.42 cnf(matrix-29, plain, ( ( ordered_pair(_u28, _u27) = unordered_pair(unordered_pair(_u28, _u27), singleton(_u28))) )).
% 0.19/0.42 cnf(matrix-30, plain, ( ~empty(ordered_pair(_u30, _u29)) )).
% 0.19/0.42 cnf(matrix-31, plain, ( empty(skolem7) )).
% 0.19/0.42 cnf(matrix-32, plain, ( ~empty(skolem8) )).
% 0.19/0.42 cnf(matrix-33, plain, ( ( ordered_pair(_u34, _u33) != skolem9) )).
% 0.19/0.42 cnf(matrix-34, plain, ( in(skolem9, cartesian_product2(skolem10, skolem11)) )).
% 0.19/0.42
% 0.19/0.42 % Proof stack:
% 0.19/0.42 cnf(proof-stack, plain,
% 0.19/0.42 proof_stack(
% 0.19/0.42 start(33),
% 0.19/0.42 left_branch(0, 1, 1, 2),
% 0.19/0.42 left_branch(0, 19, 2, 3),
% 0.19/0.42 left_branch(0, 0, 0, 4),
% 0.19/0.42 right_branch(4),
% 0.19/0.42 left_branch(0, 34, 0, 5),
% 0.19/0.42 right_branch(5),
% 0.19/0.42 right_branch(3),
% 0.19/0.42 right_branch(2)
% 0.19/0.42 )).
% 0.19/0.42 % SZS output end Proof for theBenchmark
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