TSTP Solution File: SEU149+3 by ConnectPP---0.2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SEU149+3 : 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 : n013.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 09:20:21 EST 2024
% Result : Theorem 4.34s 4.49s
% Output : Proof 4.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU149+3 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n013.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Mar 3 10:53:33 EST 2024
% 0.13/0.34 % CPUTime :
% 4.34/4.49 % SZS status Theorem for theBenchmark
% 4.34/4.49 % SZS output start Proof for theBenchmark
% 4.34/4.49
% 4.34/4.49 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 4.34/4.49 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 4.34/4.49
% 4.34/4.49 % Formula: commutativity_k2_tarski ( axiom ) converted to clauses:
% 4.34/4.49 cnf(commutativity_k2_tarski-1, axiom, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 4.34/4.49
% 4.34/4.49 % Formula: d1_tarski ( axiom ) converted to clauses:
% 4.34/4.49 cnf(d1_tarski-1, axiom, ( ( _u12 != singleton(_u14)) | ~in(_u8, _u12) | ( _u8 = _u14) )).
% 4.34/4.49 cnf(d1_tarski-2, axiom, ( ( _u12 != singleton(_u14)) | ( _u9 != _u14) | in(_u9, _u12) )).
% 4.34/4.49 cnf(d1_tarski-3, axiom, ( ( _u13 = singleton(_u15)) | in(skolem1(_u15, _u13), _u13) | ( skolem2(_u15, _u13) = _u15) )).
% 4.34/4.49 cnf(d1_tarski-4, axiom, ( ( _u13 = singleton(_u15)) | in(skolem1(_u15, _u13), _u13) | ~in(skolem2(_u15, _u13), _u13) )).
% 4.34/4.49 cnf(d1_tarski-5, axiom, ( ( _u13 = singleton(_u15)) | ( skolem1(_u15, _u13) != _u15) | ( skolem2(_u15, _u13) = _u15) )).
% 4.34/4.49 cnf(d1_tarski-6, axiom, ( ( _u13 = singleton(_u15)) | ( skolem1(_u15, _u13) != _u15) | ~in(skolem2(_u15, _u13), _u13) )).
% 4.34/4.49
% 4.34/4.49 % Formula: d2_tarski ( axiom ) converted to clauses:
% 4.34/4.49 cnf(d2_tarski-1, axiom, ( ( _u25 != unordered_pair(_u29, _u27)) | ~in(_u21, _u25) | ( _u21 = _u29) | ( _u21 = _u27) )).
% 4.34/4.49 cnf(d2_tarski-2, axiom, ( ( _u25 != unordered_pair(_u29, _u27)) | in(_u22, _u25) | ( _u22 != _u29) )).
% 4.34/4.49 cnf(d2_tarski-3, axiom, ( ( _u25 != unordered_pair(_u29, _u27)) | in(_u22, _u25) | ( _u22 != _u27) )).
% 4.34/4.49 cnf(d2_tarski-4, axiom, ( ( _u26 = unordered_pair(_u30, _u28)) | in(skolem3(_u30, _u28, _u26), _u26) | ( skolem4(_u30, _u28, _u26) = _u30) | ( skolem4(_u30, _u28, _u26) = _u28) )).
% 4.34/4.49 cnf(d2_tarski-5, axiom, ( ( _u26 = unordered_pair(_u30, _u28)) | in(skolem3(_u30, _u28, _u26), _u26) | ~in(skolem4(_u30, _u28, _u26), _u26) )).
% 4.34/4.49 cnf(d2_tarski-6, axiom, ( ( _u26 = unordered_pair(_u30, _u28)) | ( skolem4(_u30, _u28, _u26) = _u30) | ( skolem4(_u30, _u28, _u26) = _u28) | ( skolem3(_u30, _u28, _u26) != _u30) )).
% 4.34/4.49 cnf(d2_tarski-7, axiom, ( ( _u26 = unordered_pair(_u30, _u28)) | ( skolem4(_u30, _u28, _u26) = _u30) | ( skolem4(_u30, _u28, _u26) = _u28) | ( skolem3(_u30, _u28, _u26) != _u28) )).
% 4.34/4.49 cnf(d2_tarski-8, axiom, ( ( _u26 = unordered_pair(_u30, _u28)) | ~in(skolem4(_u30, _u28, _u26), _u26) | ( skolem3(_u30, _u28, _u26) != _u30) )).
% 4.34/4.49 cnf(d2_tarski-9, axiom, ( ( _u26 = unordered_pair(_u30, _u28)) | ~in(skolem4(_u30, _u28, _u26), _u26) | ( skolem3(_u30, _u28, _u26) != _u28) )).
% 4.34/4.49
% 4.34/4.49 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 4.34/4.49 cnf(rc1_xboole_0-1, axiom, ( empty(skolem5) )).
% 4.34/4.49
% 4.34/4.49 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 4.34/4.49 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem6) )).
% 4.34/4.49
% 4.34/4.49 % Formula: t8_zfmisc_1 ( conjecture ) converted to clauses:
% 4.34/4.49 cnf(t8_zfmisc_1-1, negated_conjecture, ( ( skolem7 != skolem8) )).
% 4.34/4.49 cnf(t8_zfmisc_1-2, negated_conjecture, ( ( singleton(skolem7) = unordered_pair(skolem8, skolem9)) )).
% 4.34/4.49
% 4.34/4.49 % Problem matrix:
% 4.34/4.49 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 4.34/4.49 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 4.34/4.49 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 4.34/4.49 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 4.34/4.49 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 4.34/4.49 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 4.34/4.49 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 4.34/4.49 cnf(matrix-7, 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)) )).
% 4.34/4.49 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)) )).
% 4.34/4.49 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 4.34/4.49 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 4.34/4.49 cnf(matrix-11, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 4.34/4.49 cnf(matrix-12, plain, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 4.34/4.49 cnf(matrix-13, plain, ( ( _u12 != singleton(_u14)) | ~in(_u8, _u12) | ( _u8 = _u14) )).
% 4.34/4.49 cnf(matrix-14, plain, ( ( _u12 != singleton(_u14)) | ( _u9 != _u14) | in(_u9, _u12) )).
% 4.34/4.49 cnf(matrix-15, plain, ( ( _u13 = singleton(_u15)) | in(skolem1(_u15, _u13), _u13) | ( skolem2(_u15, _u13) = _u15) )).
% 4.34/4.49 cnf(matrix-16, plain, ( ( _u13 = singleton(_u15)) | in(skolem1(_u15, _u13), _u13) | ~in(skolem2(_u15, _u13), _u13) )).
% 4.34/4.49 cnf(matrix-17, plain, ( ( _u13 = singleton(_u15)) | ( skolem1(_u15, _u13) != _u15) | ( skolem2(_u15, _u13) = _u15) )).
% 4.34/4.49 cnf(matrix-18, plain, ( ( _u13 = singleton(_u15)) | ( skolem1(_u15, _u13) != _u15) | ~in(skolem2(_u15, _u13), _u13) )).
% 4.34/4.49 cnf(matrix-19, plain, ( ( _u25 != unordered_pair(_u29, _u27)) | ~in(_u21, _u25) | ( _u21 = _u29) | ( _u21 = _u27) )).
% 4.34/4.49 cnf(matrix-20, plain, ( ( _u25 != unordered_pair(_u29, _u27)) | in(_u22, _u25) | ( _u22 != _u29) )).
% 4.34/4.49 cnf(matrix-21, plain, ( ( _u25 != unordered_pair(_u29, _u27)) | in(_u22, _u25) | ( _u22 != _u27) )).
% 4.34/4.49 cnf(matrix-22, plain, ( ( _u26 = unordered_pair(_u30, _u28)) | in(skolem3(_u30, _u28, _u26), _u26) | ( skolem4(_u30, _u28, _u26) = _u30) | ( skolem4(_u30, _u28, _u26) = _u28) )).
% 4.34/4.49 cnf(matrix-23, plain, ( ( _u26 = unordered_pair(_u30, _u28)) | in(skolem3(_u30, _u28, _u26), _u26) | ~in(skolem4(_u30, _u28, _u26), _u26) )).
% 4.34/4.49 cnf(matrix-24, plain, ( ( _u26 = unordered_pair(_u30, _u28)) | ( skolem4(_u30, _u28, _u26) = _u30) | ( skolem4(_u30, _u28, _u26) = _u28) | ( skolem3(_u30, _u28, _u26) != _u30) )).
% 4.34/4.49 cnf(matrix-25, plain, ( ( _u26 = unordered_pair(_u30, _u28)) | ( skolem4(_u30, _u28, _u26) = _u30) | ( skolem4(_u30, _u28, _u26) = _u28) | ( skolem3(_u30, _u28, _u26) != _u28) )).
% 4.34/4.49 cnf(matrix-26, plain, ( ( _u26 = unordered_pair(_u30, _u28)) | ~in(skolem4(_u30, _u28, _u26), _u26) | ( skolem3(_u30, _u28, _u26) != _u30) )).
% 4.34/4.49 cnf(matrix-27, plain, ( ( _u26 = unordered_pair(_u30, _u28)) | ~in(skolem4(_u30, _u28, _u26), _u26) | ( skolem3(_u30, _u28, _u26) != _u28) )).
% 4.34/4.49 cnf(matrix-28, plain, ( empty(skolem5) )).
% 4.34/4.49 cnf(matrix-29, plain, ( ~empty(skolem6) )).
% 4.34/4.49 cnf(matrix-30, plain, ( ( skolem7 != skolem8) )).
% 4.34/4.49 cnf(matrix-31, plain, ( ( singleton(skolem7) = unordered_pair(skolem8, skolem9)) )).
% 4.34/4.49
% 4.34/4.49 % Proof stack:
% 4.34/4.49 cnf(proof-stack, plain,
% 4.34/4.49 proof_stack(
% 4.34/4.49 start(30),
% 4.34/4.49 left_branch(0, 1, 1, 2),
% 4.34/4.49 left_branch(0, 13, 2, 3),
% 4.34/4.49 left_branch(0, 4, 1, 4),
% 4.34/4.49 left_branch(0, 0, 0, 5),
% 4.34/4.49 right_branch(5),
% 4.34/4.49 right_branch(4),
% 4.34/4.49 left_branch(0, 20, 1, 5),
% 4.34/4.49 left_branch(0, 31, 0, 6),
% 4.34/4.49 right_branch(6),
% 4.34/4.49 left_branch(0, 0, 0, 7),
% 4.34/4.49 right_branch(7),
% 4.34/4.49 right_branch(5),
% 4.34/4.49 right_branch(3),
% 4.34/4.49 right_branch(2)
% 4.34/4.49 )).
% 4.34/4.49 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------