TSTP Solution File: SEU173+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU173+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n020.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 14:33:26 EDT 2024
% Result : Theorem 5.50s 5.68s
% Output : Proof 5.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU173+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Mar 20 14:35:13 EDT 2024
% 0.12/0.34 % CPUTime :
% 5.50/5.68 % SZS status Theorem for theBenchmark
% 5.50/5.68 % SZS output start Proof for theBenchmark
% 5.50/5.68
% 5.50/5.68 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 5.50/5.68 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 5.50/5.68
% 5.50/5.68 % Formula: d1_zfmisc_1 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(d1_zfmisc_1-1, axiom, ( ( _u10 != powerset(_u12)) | ~in(_u6, _u10) | subset(_u6, _u12) )).
% 5.50/5.68 cnf(d1_zfmisc_1-2, axiom, ( ( _u10 != powerset(_u12)) | ~subset(_u7, _u12) | in(_u7, _u10) )).
% 5.50/5.68 cnf(d1_zfmisc_1-3, axiom, ( ( _u11 = powerset(_u13)) | in(skolem1(_u13, _u11), _u11) | subset(skolem2(_u13, _u11), _u13) )).
% 5.50/5.68 cnf(d1_zfmisc_1-4, axiom, ( ( _u11 = powerset(_u13)) | in(skolem1(_u13, _u11), _u11) | ~in(skolem2(_u13, _u11), _u11) )).
% 5.50/5.68 cnf(d1_zfmisc_1-5, axiom, ( ( _u11 = powerset(_u13)) | ~subset(skolem1(_u13, _u11), _u13) | subset(skolem2(_u13, _u11), _u13) )).
% 5.50/5.68 cnf(d1_zfmisc_1-6, axiom, ( ( _u11 = powerset(_u13)) | ~subset(skolem1(_u13, _u11), _u13) | ~in(skolem2(_u13, _u11), _u11) )).
% 5.50/5.68
% 5.50/5.68 % Formula: d2_subset_1 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(d2_subset_1-1, axiom, ( empty(_u22) | ~element(_u18, _u22) | in(_u18, _u22) )).
% 5.50/5.68 cnf(d2_subset_1-2, axiom, ( empty(_u22) | ~in(_u19, _u22) | element(_u19, _u22) )).
% 5.50/5.68 cnf(d2_subset_1-3, axiom, ( ~empty(_u23) | ~element(_u20, _u23) | empty(_u20) )).
% 5.50/5.68 cnf(d2_subset_1-4, axiom, ( ~empty(_u23) | ~empty(_u21) | element(_u21, _u23) )).
% 5.50/5.68
% 5.50/5.68 % Formula: d3_tarski ( axiom ) converted to clauses:
% 5.50/5.68 cnf(d3_tarski-1, axiom, ( ~subset(_u30, _u28) | ~in(_u24, _u30) | in(_u24, _u28) )).
% 5.50/5.68 cnf(d3_tarski-2, axiom, ( subset(_u31, _u29) | in(skolem3(_u31, _u29), _u31) )).
% 5.50/5.68 cnf(d3_tarski-3, axiom, ( subset(_u31, _u29) | ~in(skolem3(_u31, _u29), _u29) )).
% 5.50/5.68
% 5.50/5.68 % Formula: dt_k1_xboole_0 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(dt_k1_xboole_0, axiom, $true).
% 5.50/5.68
% 5.50/5.68 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(dt_k1_zfmisc_1, axiom, $true).
% 5.50/5.68
% 5.50/5.68 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(dt_m1_subset_1, axiom, $true).
% 5.50/5.68
% 5.50/5.68 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(existence_m1_subset_1-1, axiom, ( element(skolem4(_u33), _u33) )).
% 5.50/5.68
% 5.50/5.68 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u34)) )).
% 5.50/5.68
% 5.50/5.68 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 5.50/5.68
% 5.50/5.68 % Formula: l71_subset_1 ( conjecture ) (definitionally) converted to clauses:
% 5.50/5.68 cnf(l71_subset_1-1, negated_conjecture, ( ~in(_u35, skolem5) | in(_u35, skolem6) )).
% 5.50/5.68 cnf(l71_subset_1-2, negated_conjecture, ( ~element(skolem5, powerset(skolem6)) )).
% 5.50/5.68
% 5.50/5.68 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(rc1_subset_1-1, axiom, ( empty(_u39) | element(skolem7(_u39), powerset(_u39)) )).
% 5.50/5.68 cnf(rc1_subset_1-2, axiom, ( empty(_u39) | ~empty(skolem7(_u39)) )).
% 5.50/5.68
% 5.50/5.68 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(rc1_xboole_0-1, axiom, ( empty(skolem8) )).
% 5.50/5.68
% 5.50/5.68 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(rc2_subset_1-1, axiom, ( element(skolem9(_u42), powerset(_u42)) )).
% 5.50/5.68 cnf(rc2_subset_1-2, axiom, ( empty(skolem9(_u42)) )).
% 5.50/5.68
% 5.50/5.68 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 5.50/5.68 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem10) )).
% 5.50/5.68
% 5.50/5.68 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 5.50/5.68 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u45, _u45) )).
% 5.50/5.68
% 5.50/5.68 % Formula: t6_boole ( axiom ) converted to clauses:
% 5.50/5.68 cnf(t6_boole-1, axiom, ( ~empty(_u46) | ( _u46 = empty_set) )).
% 5.50/5.68
% 5.50/5.68 % Formula: t7_boole ( axiom ) converted to clauses:
% 5.50/5.68 cnf(t7_boole-1, axiom, ( ~in(_u48, _u47) | ~empty(_u47) )).
% 5.50/5.68
% 5.50/5.68 % Formula: t8_boole ( axiom ) converted to clauses:
% 5.50/5.68 cnf(t8_boole-1, axiom, ( ~empty(_u50) | ( _u50 = _u49) | ~empty(_u49) )).
% 5.50/5.68
% 5.50/5.68 % Problem matrix:
% 5.50/5.68 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 5.50/5.68 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 5.50/5.68 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 5.50/5.68 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 5.50/5.68 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 5.50/5.68 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 5.50/5.68 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 5.50/5.68 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 5.50/5.68 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem7(__eqx_0) = skolem7(__eqy_0)) )).
% 5.50/5.68 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem9(__eqx_0) = skolem9(__eqy_0)) )).
% 5.50/5.68 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 5.50/5.68 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 5.50/5.68 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 5.50/5.68 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 5.50/5.68 cnf(matrix-14, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 5.50/5.68 cnf(matrix-15, plain, ( ( _u10 != powerset(_u12)) | ~in(_u6, _u10) | subset(_u6, _u12) )).
% 5.50/5.68 cnf(matrix-16, plain, ( ( _u10 != powerset(_u12)) | ~subset(_u7, _u12) | in(_u7, _u10) )).
% 5.50/5.68 cnf(matrix-17, plain, ( ( _u11 = powerset(_u13)) | in(skolem1(_u13, _u11), _u11) | subset(skolem2(_u13, _u11), _u13) )).
% 5.50/5.68 cnf(matrix-18, plain, ( ( _u11 = powerset(_u13)) | in(skolem1(_u13, _u11), _u11) | ~in(skolem2(_u13, _u11), _u11) )).
% 5.50/5.68 cnf(matrix-19, plain, ( ( _u11 = powerset(_u13)) | ~subset(skolem1(_u13, _u11), _u13) | subset(skolem2(_u13, _u11), _u13) )).
% 5.50/5.68 cnf(matrix-20, plain, ( ( _u11 = powerset(_u13)) | ~subset(skolem1(_u13, _u11), _u13) | ~in(skolem2(_u13, _u11), _u11) )).
% 5.50/5.68 cnf(matrix-21, plain, ( empty(_u22) | ~element(_u18, _u22) | in(_u18, _u22) )).
% 5.50/5.68 cnf(matrix-22, plain, ( empty(_u22) | ~in(_u19, _u22) | element(_u19, _u22) )).
% 5.50/5.68 cnf(matrix-23, plain, ( ~empty(_u23) | ~element(_u20, _u23) | empty(_u20) )).
% 5.50/5.68 cnf(matrix-24, plain, ( ~empty(_u23) | ~empty(_u21) | element(_u21, _u23) )).
% 5.50/5.68 cnf(matrix-25, plain, ( ~subset(_u30, _u28) | ~in(_u24, _u30) | in(_u24, _u28) )).
% 5.50/5.68 cnf(matrix-26, plain, ( subset(_u31, _u29) | in(skolem3(_u31, _u29), _u31) )).
% 5.50/5.68 cnf(matrix-27, plain, ( subset(_u31, _u29) | ~in(skolem3(_u31, _u29), _u29) )).
% 5.50/5.68 cnf(matrix-28, plain, ( element(skolem4(_u33), _u33) )).
% 5.50/5.68 cnf(matrix-29, plain, ( ~empty(powerset(_u34)) )).
% 5.50/5.68 cnf(matrix-30, plain, ( empty(empty_set) )).
% 5.50/5.68 cnf(matrix-31, plain, ( ~in(_u35, skolem5) | in(_u35, skolem6) )).
% 5.50/5.68 cnf(matrix-32, plain, ( ~element(skolem5, powerset(skolem6)) )).
% 5.50/5.68 cnf(matrix-33, plain, ( empty(_u39) | element(skolem7(_u39), powerset(_u39)) )).
% 5.50/5.68 cnf(matrix-34, plain, ( empty(_u39) | ~empty(skolem7(_u39)) )).
% 5.50/5.68 cnf(matrix-35, plain, ( empty(skolem8) )).
% 5.50/5.68 cnf(matrix-36, plain, ( element(skolem9(_u42), powerset(_u42)) )).
% 5.50/5.68 cnf(matrix-37, plain, ( empty(skolem9(_u42)) )).
% 5.50/5.68 cnf(matrix-38, plain, ( ~empty(skolem10) )).
% 5.50/5.68 cnf(matrix-39, plain, ( subset(_u45, _u45) )).
% 5.50/5.68 cnf(matrix-40, plain, ( ~empty(_u46) | ( _u46 = empty_set) )).
% 5.50/5.68 cnf(matrix-41, plain, ( ~in(_u48, _u47) | ~empty(_u47) )).
% 5.50/5.69 cnf(matrix-42, plain, ( ~empty(_u50) | ( _u50 = _u49) | ~empty(_u49) )).
% 5.50/5.69
% 5.50/5.69 % Proof stack:
% 5.50/5.69 cnf(proof-stack, plain,
% 5.50/5.69 proof_stack(
% 5.50/5.69 start(29),
% 5.50/5.69 left_branch(0, 22, 0, 2),
% 5.50/5.69 left_branch(0, 32, 0, 3),
% 5.50/5.69 right_branch(3),
% 5.50/5.69 left_branch(0, 16, 2, 4),
% 5.50/5.69 left_branch(0, 3, 1, 5),
% 5.50/5.69 left_branch(0, 1, 1, 6),
% 5.50/5.69 left_branch(0, 0, 0, 7),
% 5.50/5.69 right_branch(7),
% 5.50/5.69 right_branch(6),
% 5.50/5.69 right_branch(5),
% 5.50/5.69 left_branch(0, 27, 0, 6),
% 5.50/5.69 left_branch(0, 31, 1, 7),
% 5.50/5.69 left_branch(0, 26, 1, 8),
% 5.50/5.69 reduction(0, 2),
% 5.50/5.69 right_branch(8),
% 5.50/5.69 right_branch(7),
% 5.50/5.69 right_branch(6),
% 5.50/5.69 right_branch(4),
% 5.50/5.69 right_branch(2)
% 5.50/5.69 )).
% 5.50/5.69 % SZS output end Proof for theBenchmark
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