TSTP Solution File: SET881+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET881+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 : n017.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 14:32:42 EDT 2024
% Result : Theorem 0.44s 0.58s
% Output : Proof 0.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET881+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n017.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 21:20:27 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.44/0.58 % SZS status Theorem for theBenchmark
% 0.44/0.58 % SZS output start Proof for theBenchmark
% 0.44/0.58
% 0.44/0.58 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.44/0.58 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.44/0.58
% 0.44/0.58 % Formula: commutativity_k2_tarski ( axiom ) converted to clauses:
% 0.44/0.58 cnf(commutativity_k2_tarski-1, axiom, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 0.44/0.58
% 0.44/0.58 % Formula: d2_tarski ( axiom ) converted to clauses:
% 0.44/0.58 cnf(d2_tarski-1, axiom, ( ( _u13 != unordered_pair(_u17, _u15)) | ~in(_u9, _u13) | ( _u9 = _u17) | ( _u9 = _u15) )).
% 0.44/0.58 cnf(d2_tarski-2, axiom, ( ( _u13 != unordered_pair(_u17, _u15)) | in(_u10, _u13) | ( _u10 != _u17) )).
% 0.44/0.58 cnf(d2_tarski-3, axiom, ( ( _u13 != unordered_pair(_u17, _u15)) | in(_u10, _u13) | ( _u10 != _u15) )).
% 0.44/0.58 cnf(d2_tarski-4, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) )).
% 0.44/0.58 cnf(d2_tarski-5, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 0.44/0.58 cnf(d2_tarski-6, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) | ( skolem1(_u18, _u16, _u14) != _u18) )).
% 0.44/0.58 cnf(d2_tarski-7, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) | ( skolem1(_u18, _u16, _u14) != _u16) )).
% 0.44/0.58 cnf(d2_tarski-8, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ( skolem1(_u18, _u16, _u14) != _u18) )).
% 0.44/0.58 cnf(d2_tarski-9, axiom, ( ( _u14 = unordered_pair(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ( skolem1(_u18, _u16, _u14) != _u16) )).
% 0.44/0.58
% 0.44/0.58 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.44/0.58 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.44/0.58
% 0.44/0.58 % Formula: l36_zfmisc_1 ( axiom ) converted to clauses:
% 0.44/0.58 cnf(l36_zfmisc_1-1, axiom, ( ( set_difference(singleton(_u23), _u21) != empty_set) | in(_u23, _u21) )).
% 0.44/0.58 cnf(l36_zfmisc_1-2, axiom, ( ~in(_u24, _u22) | ( set_difference(singleton(_u24), _u22) = empty_set) )).
% 0.44/0.58
% 0.44/0.58 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.44/0.58 cnf(rc1_xboole_0-1, axiom, ( empty(skolem3) )).
% 0.44/0.58
% 0.44/0.58 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.44/0.58 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem4) )).
% 0.44/0.58
% 0.44/0.58 % Formula: t22_zfmisc_1 ( conjecture ) (definitionally) converted to clauses:
% 0.44/0.58 cnf(t22_zfmisc_1-1, negated_conjecture, ( ( set_difference(singleton(skolem5), unordered_pair(skolem5, skolem6)) != empty_set) )).
% 0.44/0.58
% 0.44/0.58 % Problem matrix:
% 0.44/0.58 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.44/0.58 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.44/0.58 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.44/0.58 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( unordered_pair(__eqx_0, __eqx_1) = unordered_pair(__eqy_0, __eqy_1)) )).
% 0.44/0.58 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( singleton(__eqx_0) = singleton(__eqy_0)) )).
% 0.44/0.58 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( set_difference(__eqx_0, __eqx_1) = set_difference(__eqy_0, __eqy_1)) )).
% 0.44/0.58 cnf(matrix-6, 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)) )).
% 0.44/0.58 cnf(matrix-7, 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)) )).
% 0.44/0.58 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.44/0.58 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.44/0.58 cnf(matrix-10, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.44/0.58 cnf(matrix-11, plain, ( ( unordered_pair(_u3, _u2) = unordered_pair(_u2, _u3)) )).
% 0.44/0.58 cnf(matrix-12, plain, ( ( _u13 != unordered_pair(_u17, _u15)) | ~in(_u9, _u13) | ( _u9 = _u17) | ( _u9 = _u15) )).
% 0.44/0.58 cnf(matrix-13, plain, ( ( _u13 != unordered_pair(_u17, _u15)) | in(_u10, _u13) | ( _u10 != _u17) )).
% 0.44/0.58 cnf(matrix-14, plain, ( ( _u13 != unordered_pair(_u17, _u15)) | in(_u10, _u13) | ( _u10 != _u15) )).
% 0.44/0.58 cnf(matrix-15, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) )).
% 0.44/0.58 cnf(matrix-16, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | in(skolem1(_u18, _u16, _u14), _u14) | ~in(skolem2(_u18, _u16, _u14), _u14) )).
% 0.44/0.58 cnf(matrix-17, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) | ( skolem1(_u18, _u16, _u14) != _u18) )).
% 0.44/0.58 cnf(matrix-18, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | ( skolem2(_u18, _u16, _u14) = _u18) | ( skolem2(_u18, _u16, _u14) = _u16) | ( skolem1(_u18, _u16, _u14) != _u16) )).
% 0.44/0.58 cnf(matrix-19, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ( skolem1(_u18, _u16, _u14) != _u18) )).
% 0.44/0.58 cnf(matrix-20, plain, ( ( _u14 = unordered_pair(_u18, _u16)) | ~in(skolem2(_u18, _u16, _u14), _u14) | ( skolem1(_u18, _u16, _u14) != _u16) )).
% 0.44/0.58 cnf(matrix-21, plain, ( empty(empty_set) )).
% 0.44/0.58 cnf(matrix-22, plain, ( ( set_difference(singleton(_u23), _u21) != empty_set) | in(_u23, _u21) )).
% 0.44/0.58 cnf(matrix-23, plain, ( ~in(_u24, _u22) | ( set_difference(singleton(_u24), _u22) = empty_set) )).
% 0.44/0.58 cnf(matrix-24, plain, ( empty(skolem3) )).
% 0.44/0.58 cnf(matrix-25, plain, ( ~empty(skolem4) )).
% 0.44/0.58 cnf(matrix-26, plain, ( ( set_difference(singleton(skolem5), unordered_pair(skolem5, skolem6)) != empty_set) )).
% 0.44/0.58
% 0.44/0.58 % Proof stack:
% 0.44/0.58 cnf(proof-stack, plain,
% 0.44/0.58 proof_stack(
% 0.44/0.58 start(26),
% 0.44/0.58 left_branch(0, 23, 1, 2),
% 0.44/0.58 left_branch(0, 14, 1, 3),
% 0.44/0.58 left_branch(0, 11, 0, 4),
% 0.44/0.58 right_branch(4),
% 0.44/0.58 left_branch(0, 0, 0, 5),
% 0.44/0.58 right_branch(5),
% 0.44/0.58 right_branch(3),
% 0.44/0.58 right_branch(2)
% 0.44/0.58 )).
% 0.44/0.58 % SZS output end Proof for theBenchmark
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