TSTP Solution File: SEU217+3 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SEU217+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 : n004.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 14:33:35 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 : SEU217+3 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.34 % Computer : n004.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 14:40:39 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: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.12/0.36 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u1, _u1) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc4_relat_1-1, axiom, ( empty(empty_set) )).
% 0.12/0.36 cnf(fc4_relat_1-2, axiom, ( relation(empty_set) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc12_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc12_relat_1-1, axiom, ( empty(empty_set) )).
% 0.12/0.36 cnf(fc12_relat_1-2, axiom, ( relation(empty_set) )).
% 0.12/0.36 cnf(fc12_relat_1-3, axiom, ( relation_empty_yielding(empty_set) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 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(skolem1(_u3), _u3) )).
% 0.12/0.36
% 0.12/0.36 % Formula: cc1_funct_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(cc1_funct_1-1, axiom, ( ~empty(_u4) | function(_u4) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u5)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc5_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc5_relat_1-1, axiom, ( empty(_u6) | ~relation(_u6) | ~empty(relation_dom(_u6)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc7_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc7_relat_1-1, axiom, ( ~empty(_u7) | empty(relation_dom(_u7)) )).
% 0.12/0.36 cnf(fc7_relat_1-2, axiom, ( ~empty(_u7) | relation(relation_dom(_u7)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(cc1_relat_1-1, axiom, ( ~empty(_u8) | relation(_u8) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t2_subset-1, axiom, ( ~element(_u10, _u9) | empty(_u9) | in(_u10, _u9) )).
% 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(_u15, powerset(_u13)) | subset(_u15, _u13) )).
% 0.12/0.36 cnf(t3_subset-2, axiom, ( ~subset(_u16, _u14) | element(_u16, powerset(_u14)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t4_subset ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t4_subset-1, axiom, ( ~in(_u19, _u18) | ~element(_u18, powerset(_u17)) | element(_u19, _u17) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t5_subset ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t5_subset-1, axiom, ( ~in(_u22, _u21) | ~element(_u21, powerset(_u20)) | ~empty(_u20) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t6_boole-1, axiom, ( ~empty(_u23) | ( _u23 = empty_set) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t8_boole-1, axiom, ( ~empty(_u25) | ( _u25 = _u24) | ~empty(_u24) )).
% 0.12/0.36
% 0.12/0.36 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.12/0.36 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u27, _u26) | ~in(_u26, _u27) )).
% 0.12/0.36
% 0.12/0.36 % Formula: dt_k6_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(dt_k6_relat_1-1, axiom, ( relation(identity_relation(_u28)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: fc2_funct_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(fc2_funct_1-1, axiom, ( relation(identity_relation(_u30)) )).
% 0.12/0.36 cnf(fc2_funct_1-2, axiom, ( function(identity_relation(_u31)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc1_funct_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc1_funct_1-1, axiom, ( relation(skolem2) )).
% 0.12/0.36 cnf(rc1_funct_1-2, axiom, ( function(skolem2) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc1_subset_1-1, axiom, ( empty(_u34) | element(skolem3(_u34), powerset(_u34)) )).
% 0.12/0.36 cnf(rc1_subset_1-2, axiom, ( empty(_u34) | ~empty(skolem3(_u34)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc2_subset_1-1, axiom, ( element(skolem4(_u36), powerset(_u36)) )).
% 0.12/0.36 cnf(rc2_subset_1-2, axiom, ( empty(skolem4(_u36)) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc1_relat_1-1, axiom, ( empty(skolem5) )).
% 0.12/0.36 cnf(rc1_relat_1-2, axiom, ( relation(skolem5) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc2_relat_1-1, axiom, ( ~empty(skolem6) )).
% 0.12/0.36 cnf(rc2_relat_1-2, axiom, ( relation(skolem6) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc3_relat_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc3_relat_1-1, axiom, ( relation(skolem7) )).
% 0.12/0.36 cnf(rc3_relat_1-2, axiom, ( relation_empty_yielding(skolem7) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc1_xboole_0-1, axiom, ( empty(skolem8) )).
% 0.12/0.36
% 0.12/0.36 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem9) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t1_subset-1, axiom, ( ~in(_u43, _u42) | element(_u43, _u42) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t7_boole-1, axiom, ( ~in(_u45, _u44) | ~empty(_u44) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t35_funct_1 ( conjecture ) (definitionally) converted to clauses:
% 0.12/0.36 cnf(t35_funct_1-1, negated_conjecture, ( in(skolem11, skolem10) )).
% 0.12/0.36 cnf(t35_funct_1-2, negated_conjecture, ( ( apply(identity_relation(skolem10), skolem11) != skolem11) )).
% 0.12/0.36
% 0.12/0.36 % Formula: t34_funct_1 ( axiom ) converted to clauses:
% 0.12/0.36 cnf(t34_funct_1-1, axiom, ( ~relation(_u50) | ~function(_u50) | ( _u50 != identity_relation(_u51)) | ( relation_dom(_u50) = _u51) )).
% 0.12/0.36 cnf(t34_funct_1-2, axiom, ( ~relation(_u50) | ~function(_u50) | ( _u50 != identity_relation(_u51)) | ~in(_u48, _u51) | ( apply(_u50, _u48) = _u48) )).
% 0.12/0.36 cnf(t34_funct_1-3, axiom, ( ~relation(_u50) | ~function(_u50) | ( _u50 = identity_relation(_u51)) | ( relation_dom(_u50) != _u51) | in(skolem12(_u51, _u50), _u51) )).
% 0.12/0.36 cnf(t34_funct_1-4, axiom, ( ~relation(_u50) | ~function(_u50) | ( _u50 = identity_relation(_u51)) | ( relation_dom(_u50) != _u51) | ( apply(_u50, skolem12(_u51, _u50)) != skolem12(_u51, _u50)) )).
% 0.12/0.36
% 0.12/0.36 % Problem matrix:
% 0.12/0.36 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.36 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.36 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.36 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( relation_dom(__eqx_0) = relation_dom(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( identity_relation(__eqx_0) = identity_relation(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( apply(__eqx_0, __eqx_1) = apply(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( skolem3(__eqx_0) = skolem3(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 0.12/0.36 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 0.12/0.36 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.12/0.36 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 0.12/0.36 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~relation_empty_yielding(__eqx_0) | relation_empty_yielding(__eqy_0) )).
% 0.12/0.36 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ~function(__eqx_0) | function(__eqy_0) )).
% 0.12/0.36 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.12/0.36 cnf(matrix-18, plain, ( subset(_u1, _u1) )).
% 0.12/0.36 cnf(matrix-19, plain, ( empty(empty_set) )).
% 0.12/0.36 cnf(matrix-20, plain, ( relation(empty_set) )).
% 0.12/0.36 cnf(matrix-21, plain, ( empty(empty_set) )).
% 0.12/0.36 cnf(matrix-22, plain, ( relation(empty_set) )).
% 0.12/0.36 cnf(matrix-23, plain, ( relation_empty_yielding(empty_set) )).
% 0.12/0.36 cnf(matrix-24, plain, ( empty(empty_set) )).
% 0.12/0.36 cnf(matrix-25, plain, ( element(skolem1(_u3), _u3) )).
% 0.12/0.36 cnf(matrix-26, plain, ( ~empty(_u4) | function(_u4) )).
% 0.12/0.36 cnf(matrix-27, plain, ( ~empty(powerset(_u5)) )).
% 0.12/0.36 cnf(matrix-28, plain, ( empty(_u6) | ~relation(_u6) | ~empty(relation_dom(_u6)) )).
% 0.12/0.36 cnf(matrix-29, plain, ( ~empty(_u7) | empty(relation_dom(_u7)) )).
% 0.12/0.36 cnf(matrix-30, plain, ( ~empty(_u7) | relation(relation_dom(_u7)) )).
% 0.12/0.36 cnf(matrix-31, plain, ( ~empty(_u8) | relation(_u8) )).
% 0.12/0.36 cnf(matrix-32, plain, ( ~element(_u10, _u9) | empty(_u9) | in(_u10, _u9) )).
% 0.12/0.36 cnf(matrix-33, plain, ( ~element(_u15, powerset(_u13)) | subset(_u15, _u13) )).
% 0.12/0.36 cnf(matrix-34, plain, ( ~subset(_u16, _u14) | element(_u16, powerset(_u14)) )).
% 0.12/0.36 cnf(matrix-35, plain, ( ~in(_u19, _u18) | ~element(_u18, powerset(_u17)) | element(_u19, _u17) )).
% 0.12/0.36 cnf(matrix-36, plain, ( ~in(_u22, _u21) | ~element(_u21, powerset(_u20)) | ~empty(_u20) )).
% 0.12/0.36 cnf(matrix-37, plain, ( ~empty(_u23) | ( _u23 = empty_set) )).
% 0.12/0.36 cnf(matrix-38, plain, ( ~empty(_u25) | ( _u25 = _u24) | ~empty(_u24) )).
% 0.12/0.36 cnf(matrix-39, plain, ( ~in(_u27, _u26) | ~in(_u26, _u27) )).
% 0.12/0.36 cnf(matrix-40, plain, ( relation(identity_relation(_u28)) )).
% 0.12/0.36 cnf(matrix-41, plain, ( relation(identity_relation(_u30)) )).
% 0.12/0.36 cnf(matrix-42, plain, ( function(identity_relation(_u31)) )).
% 0.12/0.36 cnf(matrix-43, plain, ( relation(skolem2) )).
% 0.12/0.36 cnf(matrix-44, plain, ( function(skolem2) )).
% 0.12/0.36 cnf(matrix-45, plain, ( empty(_u34) | element(skolem3(_u34), powerset(_u34)) )).
% 0.12/0.36 cnf(matrix-46, plain, ( empty(_u34) | ~empty(skolem3(_u34)) )).
% 0.12/0.36 cnf(matrix-47, plain, ( element(skolem4(_u36), powerset(_u36)) )).
% 0.12/0.36 cnf(matrix-48, plain, ( empty(skolem4(_u36)) )).
% 0.12/0.36 cnf(matrix-49, plain, ( empty(skolem5) )).
% 0.12/0.36 cnf(matrix-50, plain, ( relation(skolem5) )).
% 0.12/0.36 cnf(matrix-51, plain, ( ~empty(skolem6) )).
% 0.12/0.36 cnf(matrix-52, plain, ( relation(skolem6) )).
% 0.12/0.36 cnf(matrix-53, plain, ( relation(skolem7) )).
% 0.12/0.36 cnf(matrix-54, plain, ( relation_empty_yielding(skolem7) )).
% 0.12/0.36 cnf(matrix-55, plain, ( empty(skolem8) )).
% 0.12/0.36 cnf(matrix-56, plain, ( ~empty(skolem9) )).
% 0.12/0.36 cnf(matrix-57, plain, ( ~in(_u43, _u42) | element(_u43, _u42) )).
% 0.12/0.36 cnf(matrix-58, plain, ( ~in(_u45, _u44) | ~empty(_u44) )).
% 0.12/0.36 cnf(matrix-59, plain, ( in(skolem11, skolem10) )).
% 0.12/0.36 cnf(matrix-60, plain, ( ( apply(identity_relation(skolem10), skolem11) != skolem11) )).
% 0.12/0.36 cnf(matrix-61, plain, ( ~relation(_u50) | ~function(_u50) | ( _u50 != identity_relation(_u51)) | ( relation_dom(_u50) = _u51) )).
% 0.12/0.36 cnf(matrix-62, plain, ( ~relation(_u50) | ~function(_u50) | ( _u50 != identity_relation(_u51)) | ~in(_u48, _u51) | ( apply(_u50, _u48) = _u48) )).
% 0.12/0.36 cnf(matrix-63, plain, ( ~relation(_u50) | ~function(_u50) | ( _u50 = identity_relation(_u51)) | ( relation_dom(_u50) != _u51) | in(skolem12(_u51, _u50), _u51) )).
% 0.12/0.36 cnf(matrix-64, plain, ( ~relation(_u50) | ~function(_u50) | ( _u50 = identity_relation(_u51)) | ( relation_dom(_u50) != _u51) | ( apply(_u50, skolem12(_u51, _u50)) != skolem12(_u51, _u50)) )).
% 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(60),
% 0.12/0.36 left_branch(0, 62, 4, 2),
% 0.12/0.36 left_branch(0, 41, 0, 3),
% 0.12/0.36 right_branch(3),
% 0.12/0.36 left_branch(0, 59, 0, 4),
% 0.12/0.36 right_branch(4),
% 0.12/0.36 left_branch(0, 0, 0, 5),
% 0.12/0.36 right_branch(5),
% 0.12/0.36 left_branch(0, 42, 0, 6),
% 0.12/0.36 right_branch(6),
% 0.12/0.36 right_branch(2)
% 0.12/0.36 )).
% 0.12/0.36 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------