TSTP Solution File: SEU264+1 by ConnectPP---0.3.0
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% File : ConnectPP---0.3.0
% Problem : SEU264+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 : 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 14:33:48 EDT 2024
% Result : Theorem 0.11s 0.33s
% Output : Proof 0.11s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU264+1 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed Mar 20 14:12:27 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % SZS status Theorem for theBenchmark
% 0.11/0.33 % SZS output start Proof for theBenchmark
% 0.11/0.33
% 0.11/0.33 % Formula: cc1_relset_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(cc1_relset_1-1, axiom, ( ~element(_u0, powerset(cartesian_product2(_u2, _u1))) | relation(_u0) )).
% 0.11/0.33
% 0.11/0.33 % Formula: dt_k1_relat_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(dt_k1_relat_1, axiom, $true).
% 0.11/0.33
% 0.11/0.33 % Formula: dt_k1_zfmisc_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(dt_k1_zfmisc_1, axiom, $true).
% 0.11/0.33
% 0.11/0.33 % Formula: dt_k2_relat_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(dt_k2_relat_1, axiom, $true).
% 0.11/0.33
% 0.11/0.33 % Formula: dt_k2_zfmisc_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(dt_k2_zfmisc_1, axiom, $true).
% 0.11/0.33
% 0.11/0.33 % Formula: dt_m1_relset_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(dt_m1_relset_1, axiom, $true).
% 0.11/0.33
% 0.11/0.33 % Formula: dt_m1_subset_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(dt_m1_subset_1, axiom, $true).
% 0.11/0.33
% 0.11/0.33 % Formula: dt_m2_relset_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(dt_m2_relset_1-1, axiom, ( ~relation_of2_as_subset(_u3, _u5, _u4) | element(_u3, powerset(cartesian_product2(_u5, _u4))) )).
% 0.11/0.33
% 0.11/0.33 % Formula: existence_m1_relset_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(existence_m1_relset_1-1, axiom, ( relation_of2(skolem1(_u8, _u7), _u8, _u7) )).
% 0.11/0.33
% 0.11/0.33 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(existence_m1_subset_1-1, axiom, ( element(skolem2(_u10), _u10) )).
% 0.11/0.33
% 0.11/0.33 % Formula: existence_m2_relset_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(existence_m2_relset_1-1, axiom, ( relation_of2_as_subset(skolem3(_u13, _u12), _u13, _u12) )).
% 0.11/0.33
% 0.11/0.33 % Formula: redefinition_m2_relset_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(redefinition_m2_relset_1-1, axiom, ( ~relation_of2_as_subset(_u17, _u21, _u19) | relation_of2(_u17, _u21, _u19) )).
% 0.11/0.33 cnf(redefinition_m2_relset_1-2, axiom, ( ~relation_of2(_u18, _u22, _u20) | relation_of2_as_subset(_u18, _u22, _u20) )).
% 0.11/0.33
% 0.11/0.33 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.11/0.33 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u24, _u24) )).
% 0.11/0.33
% 0.11/0.33 % Formula: t12_relset_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(t12_relset_1-1, axiom, ( ~relation_of2_as_subset(_u25, _u27, _u26) | subset(relation_dom(_u25), _u27) )).
% 0.11/0.33 cnf(t12_relset_1-2, axiom, ( ~relation_of2_as_subset(_u25, _u27, _u26) | subset(relation_rng(_u25), _u26) )).
% 0.11/0.33
% 0.11/0.33 % Formula: t14_relset_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(t14_relset_1-1, axiom, ( ~relation_of2_as_subset(_u28, _u29, _u31) | ~subset(relation_rng(_u28), _u30) | relation_of2_as_subset(_u28, _u29, _u30) )).
% 0.11/0.33
% 0.11/0.33 % Formula: t16_relset_1 ( conjecture ) (definitionally) converted to clauses:
% 0.11/0.33 cnf(t16_relset_1-1, negated_conjecture, ( relation_of2_as_subset(skolem7, skolem6, skolem4) )).
% 0.11/0.33 cnf(t16_relset_1-2, negated_conjecture, ( subset(skolem4, skolem5) )).
% 0.11/0.33 cnf(t16_relset_1-3, negated_conjecture, ( ~relation_of2_as_subset(skolem7, skolem6, skolem5) )).
% 0.11/0.33
% 0.11/0.33 % Formula: t1_xboole_1 ( axiom ) converted to clauses:
% 0.11/0.33 cnf(t1_xboole_1-1, axiom, ( ~subset(_u38, _u37) | ~subset(_u37, _u36) | subset(_u38, _u36) )).
% 0.11/0.33
% 0.11/0.33 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.11/0.33 cnf(t3_subset-1, axiom, ( ~element(_u43, powerset(_u41)) | subset(_u43, _u41) )).
% 0.11/0.33 cnf(t3_subset-2, axiom, ( ~subset(_u44, _u42) | element(_u44, powerset(_u42)) )).
% 0.11/0.33
% 0.11/0.33 % Problem matrix:
% 0.11/0.33 cnf(matrix-0, plain, ( ~element(_u0, powerset(cartesian_product2(_u2, _u1))) | relation(_u0) )).
% 0.11/0.33 cnf(matrix-1, plain, ( ~relation_of2_as_subset(_u3, _u5, _u4) | element(_u3, powerset(cartesian_product2(_u5, _u4))) )).
% 0.11/0.33 cnf(matrix-2, plain, ( relation_of2(skolem1(_u8, _u7), _u8, _u7) )).
% 0.11/0.33 cnf(matrix-3, plain, ( element(skolem2(_u10), _u10) )).
% 0.11/0.33 cnf(matrix-4, plain, ( relation_of2_as_subset(skolem3(_u13, _u12), _u13, _u12) )).
% 0.11/0.33 cnf(matrix-5, plain, ( ~relation_of2_as_subset(_u17, _u21, _u19) | relation_of2(_u17, _u21, _u19) )).
% 0.11/0.33 cnf(matrix-6, plain, ( ~relation_of2(_u18, _u22, _u20) | relation_of2_as_subset(_u18, _u22, _u20) )).
% 0.11/0.33 cnf(matrix-7, plain, ( subset(_u24, _u24) )).
% 0.11/0.33 cnf(matrix-8, plain, ( ~relation_of2_as_subset(_u25, _u27, _u26) | subset(relation_dom(_u25), _u27) )).
% 0.11/0.33 cnf(matrix-9, plain, ( ~relation_of2_as_subset(_u25, _u27, _u26) | subset(relation_rng(_u25), _u26) )).
% 0.11/0.33 cnf(matrix-10, plain, ( ~relation_of2_as_subset(_u28, _u29, _u31) | ~subset(relation_rng(_u28), _u30) | relation_of2_as_subset(_u28, _u29, _u30) )).
% 0.11/0.33 cnf(matrix-11, plain, ( relation_of2_as_subset(skolem7, skolem6, skolem4) )).
% 0.11/0.33 cnf(matrix-12, plain, ( subset(skolem4, skolem5) )).
% 0.11/0.33 cnf(matrix-13, plain, ( ~relation_of2_as_subset(skolem7, skolem6, skolem5) )).
% 0.11/0.33 cnf(matrix-14, plain, ( ~subset(_u38, _u37) | ~subset(_u37, _u36) | subset(_u38, _u36) )).
% 0.11/0.33 cnf(matrix-15, plain, ( ~element(_u43, powerset(_u41)) | subset(_u43, _u41) )).
% 0.11/0.33 cnf(matrix-16, plain, ( ~subset(_u44, _u42) | element(_u44, powerset(_u42)) )).
% 0.11/0.33
% 0.11/0.33 % Proof stack:
% 0.11/0.33 cnf(proof-stack, plain,
% 0.11/0.33 proof_stack(
% 0.11/0.33 start(13),
% 0.11/0.33 left_branch(0, 10, 2, 2),
% 0.11/0.33 left_branch(0, 11, 0, 3),
% 0.11/0.33 right_branch(3),
% 0.11/0.33 left_branch(0, 14, 2, 4),
% 0.11/0.33 left_branch(0, 9, 1, 5),
% 0.11/0.33 left_branch(0, 11, 0, 6),
% 0.11/0.33 right_branch(6),
% 0.11/0.33 right_branch(5),
% 0.11/0.33 left_branch(0, 14, 2, 6),
% 0.11/0.33 left_branch(0, 12, 0, 7),
% 0.11/0.33 right_branch(7),
% 0.11/0.33 left_branch(0, 7, 0, 8),
% 0.11/0.33 right_branch(8),
% 0.11/0.33 right_branch(6),
% 0.11/0.33 right_branch(4),
% 0.11/0.33 right_branch(2)
% 0.11/0.33 )).
% 0.11/0.33 % SZS output end Proof for theBenchmark
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