TSTP Solution File: SEU263+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU263+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 : 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 14:33:48 EDT 2024
% Result : Theorem 0.12s 0.36s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU263+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Mar 20 15:06:19 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start Proof for theBenchmark
% 0.12/0.36
% 0.12/0.36 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(cc1_relset_1-1, axiom, ( ~element(_u0, powerset(cartesian_product2(_u2, _u1))) | relation(_u0) )).
% 0.12/0.36
% 0.12/0.36 % Formula: d1_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(d1_relset_1-1, axiom, ( ~relation_of2(_u6, _u10, _u8) | subset(_u6, cartesian_product2(_u10, _u8)) )).
% 0.12/0.36 cnf(d1_relset_1-2, axiom, ( ~subset(_u7, cartesian_product2(_u11, _u9)) | relation_of2(_u7, _u11, _u9) )).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k1_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k1_relat_1, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k1_zfmisc_1, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k2_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k2_relat_1, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k2_zfmisc_1, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_m1_relset_1, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_m1_subset_1, axiom, $true).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_m2_relset_1-1, axiom, ( ~relation_of2_as_subset(_u12, _u14, _u13) | element(_u12, powerset(cartesian_product2(_u14, _u13))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(existence_m1_relset_1-1, axiom, ( relation_of2(skolem1(_u17, _u16), _u17, _u16) )).
% 0.12/0.36
% 0.12/0.36 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(existence_m1_subset_1-1, axiom, ( element(skolem2(_u19), _u19) )).
% 0.12/0.36
% 0.12/0.36 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(existence_m2_relset_1-1, axiom, ( relation_of2_as_subset(skolem3(_u22, _u21), _u22, _u21) )).
% 0.12/0.36
% 0.12/0.36 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(redefinition_m2_relset_1-1, axiom, ( ~relation_of2_as_subset(_u26, _u30, _u28) | relation_of2(_u26, _u30, _u28) )).
% 0.12/0.36 cnf(redefinition_m2_relset_1-2, axiom, ( ~relation_of2(_u27, _u31, _u29) | relation_of2_as_subset(_u27, _u31, _u29) )).
% 0.12/0.36
% 0.12/0.36 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.12/0.36 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u33, _u33) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t119_zfmisc_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t119_zfmisc_1-1, axiom, ( ~subset(_u37, _u36) | ~subset(_u35, _u34) | subset(cartesian_product2(_u37, _u35), cartesian_product2(_u36, _u34)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t12_relset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t12_relset_1-1, axiom, ( ~relation_of2_as_subset(_u38, _u40, _u39) | subset(relation_dom(_u38), _u40) )).
% 0.12/0.36 cnf(t12_relset_1-2, axiom, ( ~relation_of2_as_subset(_u38, _u40, _u39) | subset(relation_rng(_u38), _u39) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t14_relset_1 ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.36 cnf(t14_relset_1-1, negated_conjecture, ( relation_of2_as_subset(skolem7, skolem6, skolem4) )).
% 0.12/0.36 cnf(t14_relset_1-2, negated_conjecture, ( subset(relation_rng(skolem7), skolem5) )).
% 0.12/0.36 cnf(t14_relset_1-3, negated_conjecture, ( ~relation_of2_as_subset(skolem7, skolem6, skolem5) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t1_xboole_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t1_xboole_1-1, axiom, ( ~subset(_u47, _u46) | ~subset(_u46, _u45) | subset(_u47, _u45) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t21_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t21_relat_1-1, axiom, ( ~relation(_u48) | subset(_u48, cartesian_product2(relation_dom(_u48), relation_rng(_u48))) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t3_subset-1, axiom, ( ~element(_u53, powerset(_u51)) | subset(_u53, _u51) )).
% 0.12/0.36 cnf(t3_subset-2, axiom, ( ~subset(_u54, _u52) | element(_u54, powerset(_u52)) )).
% 0.12/0.36
% 0.12/0.36 % Problem matrix:
% 0.12/0.36 cnf(matrix-0, plain, ( ~element(_u0, powerset(cartesian_product2(_u2, _u1))) | relation(_u0) )).
% 0.12/0.36 cnf(matrix-1, plain, ( ~relation_of2(_u6, _u10, _u8) | subset(_u6, cartesian_product2(_u10, _u8)) )).
% 0.12/0.36 cnf(matrix-2, plain, ( ~subset(_u7, cartesian_product2(_u11, _u9)) | relation_of2(_u7, _u11, _u9) )).
% 0.12/0.36 cnf(matrix-3, plain, ( ~relation_of2_as_subset(_u12, _u14, _u13) | element(_u12, powerset(cartesian_product2(_u14, _u13))) )).
% 0.12/0.36 cnf(matrix-4, plain, ( relation_of2(skolem1(_u17, _u16), _u17, _u16) )).
% 0.12/0.36 cnf(matrix-5, plain, ( element(skolem2(_u19), _u19) )).
% 0.12/0.36 cnf(matrix-6, plain, ( relation_of2_as_subset(skolem3(_u22, _u21), _u22, _u21) )).
% 0.12/0.36 cnf(matrix-7, plain, ( ~relation_of2_as_subset(_u26, _u30, _u28) | relation_of2(_u26, _u30, _u28) )).
% 0.12/0.36 cnf(matrix-8, plain, ( ~relation_of2(_u27, _u31, _u29) | relation_of2_as_subset(_u27, _u31, _u29) )).
% 0.12/0.36 cnf(matrix-9, plain, ( subset(_u33, _u33) )).
% 0.12/0.36 cnf(matrix-10, plain, ( ~subset(_u37, _u36) | ~subset(_u35, _u34) | subset(cartesian_product2(_u37, _u35), cartesian_product2(_u36, _u34)) )).
% 0.12/0.36 cnf(matrix-11, plain, ( ~relation_of2_as_subset(_u38, _u40, _u39) | subset(relation_dom(_u38), _u40) )).
% 0.12/0.36 cnf(matrix-12, plain, ( ~relation_of2_as_subset(_u38, _u40, _u39) | subset(relation_rng(_u38), _u39) )).
% 0.12/0.36 cnf(matrix-13, plain, ( relation_of2_as_subset(skolem7, skolem6, skolem4) )).
% 0.12/0.36 cnf(matrix-14, plain, ( subset(relation_rng(skolem7), skolem5) )).
% 0.12/0.36 cnf(matrix-15, plain, ( ~relation_of2_as_subset(skolem7, skolem6, skolem5) )).
% 0.12/0.36 cnf(matrix-16, plain, ( ~subset(_u47, _u46) | ~subset(_u46, _u45) | subset(_u47, _u45) )).
% 0.12/0.36 cnf(matrix-17, plain, ( ~relation(_u48) | subset(_u48, cartesian_product2(relation_dom(_u48), relation_rng(_u48))) )).
% 0.12/0.36 cnf(matrix-18, plain, ( ~element(_u53, powerset(_u51)) | subset(_u53, _u51) )).
% 0.12/0.36 cnf(matrix-19, plain, ( ~subset(_u54, _u52) | element(_u54, powerset(_u52)) )).
% 0.12/0.36
% 0.12/0.36 % Proof stack:
% 0.12/0.36 cnf(proof-stack, plain,
% 0.12/0.36 proof_stack(
% 0.12/0.36 start(15),
% 0.12/0.36 left_branch(0, 8, 1, 2),
% 0.12/0.36 left_branch(0, 2, 1, 3),
% 0.12/0.36 left_branch(0, 16, 2, 4),
% 0.12/0.36 left_branch(0, 17, 1, 5),
% 0.12/0.36 left_branch(0, 0, 1, 6),
% 0.12/0.36 left_branch(0, 3, 1, 7),
% 0.12/0.36 left_branch(0, 13, 0, 8),
% 0.12/0.36 right_branch(8),
% 0.12/0.36 right_branch(7),
% 0.12/0.36 right_branch(6),
% 0.12/0.36 right_branch(5),
% 0.12/0.36 left_branch(0, 16, 2, 6),
% 0.12/0.36 left_branch(0, 16, 2, 7),
% 0.12/0.36 left_branch(0, 10, 2, 8),
% 0.12/0.36 left_branch(0, 9, 0, 9),
% 0.12/0.36 right_branch(9),
% 0.12/0.36 left_branch(0, 14, 0, 10),
% 0.12/0.36 right_branch(10),
% 0.12/0.36 right_branch(8),
% 0.12/0.36 left_branch(0, 10, 2, 9),
% 0.12/0.36 left_branch(0, 9, 0, 10),
% 0.12/0.36 right_branch(10),
% 0.12/0.36 left_branch(0, 9, 0, 11),
% 0.12/0.36 right_branch(11),
% 0.12/0.36 right_branch(9),
% 0.12/0.36 right_branch(7),
% 0.12/0.36 left_branch(0, 10, 2, 8),
% 0.12/0.36 left_branch(0, 11, 1, 9),
% 0.12/0.36 left_branch(0, 13, 0, 10),
% 0.12/0.36 right_branch(10),
% 0.12/0.36 right_branch(9),
% 0.12/0.36 left_branch(0, 9, 0, 10),
% 0.12/0.36 right_branch(10),
% 0.12/0.36 right_branch(8),
% 0.12/0.36 right_branch(6),
% 0.12/0.36 right_branch(4),
% 0.12/0.36 right_branch(3),
% 0.12/0.36 right_branch(2)
% 0.12/0.36 )).
% 0.12/0.36 % SZS output end Proof for theBenchmark
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