TSTP Solution File: SEU041+1 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SEU041+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 : n025.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 : Wed Mar 6 09:20:09 EST 2024
% Result : Theorem 0.19s 0.35s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU041+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 : n025.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 : Sun Mar 3 11:27:40 EST 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % SZS status Theorem for theBenchmark
% 0.19/0.35 % SZS output start Proof for theBenchmark
% 0.19/0.35
% 0.19/0.35 % Formula: antisymmetry_r2_hidden ( axiom ) converted to clauses:
% 0.19/0.35 cnf(antisymmetry_r2_hidden-1, axiom, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.19/0.35
% 0.19/0.35 % Formula: fc4_relat_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(fc4_relat_1-1, axiom, ( empty(empty_set) )).
% 0.19/0.35 cnf(fc4_relat_1-2, axiom, ( relation(empty_set) )).
% 0.19/0.35
% 0.19/0.35 % Formula: fc12_relat_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(fc12_relat_1-1, axiom, ( empty(empty_set) )).
% 0.19/0.35 cnf(fc12_relat_1-2, axiom, ( relation(empty_set) )).
% 0.19/0.35 cnf(fc12_relat_1-3, axiom, ( relation_empty_yielding(empty_set) )).
% 0.19/0.35
% 0.19/0.35 % Formula: fc1_xboole_0 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(fc1_xboole_0-1, axiom, ( empty(empty_set) )).
% 0.19/0.35
% 0.19/0.35 % Formula: t1_subset ( axiom ) converted to clauses:
% 0.19/0.35 cnf(t1_subset-1, axiom, ( ~in(_u3, _u2) | element(_u3, _u2) )).
% 0.19/0.35
% 0.19/0.35 % Formula: t4_subset ( axiom ) converted to clauses:
% 0.19/0.35 cnf(t4_subset-1, axiom, ( ~in(_u6, _u5) | ~element(_u5, powerset(_u4)) | element(_u6, _u4) )).
% 0.19/0.35
% 0.19/0.35 % Formula: t5_subset ( axiom ) converted to clauses:
% 0.19/0.35 cnf(t5_subset-1, axiom, ( ~in(_u9, _u8) | ~element(_u8, powerset(_u7)) | ~empty(_u7) )).
% 0.19/0.35
% 0.19/0.35 % Formula: existence_m1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(existence_m1_subset_1-1, axiom, ( element(skolem1(_u11), _u11) )).
% 0.19/0.35
% 0.19/0.35 % Formula: cc1_funct_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(cc1_funct_1-1, axiom, ( ~empty(_u12) | function(_u12) )).
% 0.19/0.35
% 0.19/0.35 % Formula: cc2_funct_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(cc2_funct_1-1, axiom, ( ~relation(_u13) | ~empty(_u13) | ~function(_u13) | one_to_one(_u13) )).
% 0.19/0.35
% 0.19/0.35 % Formula: fc1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(fc1_subset_1-1, axiom, ( ~empty(powerset(_u14)) )).
% 0.19/0.35
% 0.19/0.35 % Formula: fc13_relat_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(fc13_relat_1-1, axiom, ( ~relation(_u16) | ~relation_empty_yielding(_u16) | relation(relation_dom_restriction(_u16, _u17)) )).
% 0.19/0.35 cnf(fc13_relat_1-2, axiom, ( ~relation(_u16) | ~relation_empty_yielding(_u16) | relation_empty_yielding(relation_dom_restriction(_u16, _u18)) )).
% 0.19/0.35
% 0.19/0.35 % Formula: cc1_relat_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(cc1_relat_1-1, axiom, ( ~empty(_u19) | relation(_u19) )).
% 0.19/0.35
% 0.19/0.35 % Formula: t2_subset ( axiom ) converted to clauses:
% 0.19/0.35 cnf(t2_subset-1, axiom, ( ~element(_u21, _u20) | empty(_u20) | in(_u21, _u20) )).
% 0.19/0.35
% 0.19/0.35 % Formula: t6_boole ( axiom ) converted to clauses:
% 0.19/0.35 cnf(t6_boole-1, axiom, ( ~empty(_u22) | ( _u22 = empty_set) )).
% 0.19/0.35
% 0.19/0.35 % Formula: t7_boole ( axiom ) converted to clauses:
% 0.19/0.35 cnf(t7_boole-1, axiom, ( ~in(_u24, _u23) | ~empty(_u23) )).
% 0.19/0.35
% 0.19/0.35 % Formula: t8_boole ( axiom ) converted to clauses:
% 0.19/0.35 cnf(t8_boole-1, axiom, ( ~empty(_u26) | ( _u26 = _u25) | ~empty(_u25) )).
% 0.19/0.35
% 0.19/0.35 % Formula: reflexivity_r1_tarski ( axiom ) converted to clauses:
% 0.19/0.35 cnf(reflexivity_r1_tarski-1, axiom, ( subset(_u28, _u28) )).
% 0.19/0.35
% 0.19/0.35 % Formula: dt_k7_relat_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(dt_k7_relat_1-1, axiom, ( ~relation(_u30) | relation(relation_dom_restriction(_u30, _u29)) )).
% 0.19/0.35
% 0.19/0.35 % Formula: fc4_funct_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(fc4_funct_1-1, axiom, ( ~relation(_u32) | ~function(_u32) | relation(relation_dom_restriction(_u32, _u33)) )).
% 0.19/0.35 cnf(fc4_funct_1-2, axiom, ( ~relation(_u32) | ~function(_u32) | function(relation_dom_restriction(_u32, _u34)) )).
% 0.19/0.35
% 0.19/0.35 % Formula: rc1_funct_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(rc1_funct_1-1, axiom, ( relation(skolem2) )).
% 0.19/0.35 cnf(rc1_funct_1-2, axiom, ( function(skolem2) )).
% 0.19/0.35
% 0.19/0.35 % Formula: rc2_funct_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(rc2_funct_1-1, axiom, ( relation(skolem3) )).
% 0.19/0.35 cnf(rc2_funct_1-2, axiom, ( empty(skolem3) )).
% 0.19/0.35 cnf(rc2_funct_1-3, axiom, ( function(skolem3) )).
% 0.19/0.35
% 0.19/0.35 % Formula: rc3_funct_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(rc3_funct_1-1, axiom, ( relation(skolem4) )).
% 0.19/0.35 cnf(rc3_funct_1-2, axiom, ( function(skolem4) )).
% 0.19/0.35 cnf(rc3_funct_1-3, axiom, ( one_to_one(skolem4) )).
% 0.19/0.35
% 0.19/0.35 % Formula: rc1_subset_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(rc1_subset_1-1, axiom, ( empty(_u39) | element(skolem5(_u39), powerset(_u39)) )).
% 0.19/0.35 cnf(rc1_subset_1-2, axiom, ( empty(_u39) | ~empty(skolem5(_u39)) )).
% 0.19/0.35
% 0.19/0.35 % Formula: rc2_subset_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(rc2_subset_1-1, axiom, ( element(skolem6(_u41), powerset(_u41)) )).
% 0.19/0.35 cnf(rc2_subset_1-2, axiom, ( empty(skolem6(_u41)) )).
% 0.19/0.35
% 0.19/0.35 % Formula: rc1_relat_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(rc1_relat_1-1, axiom, ( empty(skolem7) )).
% 0.19/0.35 cnf(rc1_relat_1-2, axiom, ( relation(skolem7) )).
% 0.19/0.35
% 0.19/0.35 % Formula: rc2_relat_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(rc2_relat_1-1, axiom, ( ~empty(skolem8) )).
% 0.19/0.35 cnf(rc2_relat_1-2, axiom, ( relation(skolem8) )).
% 0.19/0.35
% 0.19/0.35 % Formula: rc3_relat_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(rc3_relat_1-1, axiom, ( relation(skolem9) )).
% 0.19/0.35 cnf(rc3_relat_1-2, axiom, ( relation_empty_yielding(skolem9) )).
% 0.19/0.35
% 0.19/0.35 % Formula: rc1_xboole_0 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(rc1_xboole_0-1, axiom, ( empty(skolem10) )).
% 0.19/0.35
% 0.19/0.35 % Formula: rc2_xboole_0 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(rc2_xboole_0-1, axiom, ( ~empty(skolem11) )).
% 0.19/0.35
% 0.19/0.35 % Formula: t3_subset ( axiom ) converted to clauses:
% 0.19/0.35 cnf(t3_subset-1, axiom, ( ~element(_u51, powerset(_u49)) | subset(_u51, _u49) )).
% 0.19/0.35 cnf(t3_subset-2, axiom, ( ~subset(_u52, _u50) | element(_u52, powerset(_u50)) )).
% 0.19/0.35
% 0.19/0.35 % Formula: t82_funct_1 ( conjecture ) converted to clauses:
% 0.19/0.35 cnf(t82_funct_1-1, negated_conjecture, ( relation(skolem14) )).
% 0.19/0.35 cnf(t82_funct_1-2, negated_conjecture, ( function(skolem14) )).
% 0.19/0.35 cnf(t82_funct_1-3, negated_conjecture, ( subset(skolem12, skolem13) )).
% 0.19/0.35 cnf(t82_funct_1-4, negated_conjecture, ( ( relation_dom_restriction(relation_dom_restriction(skolem14, skolem12), skolem13) != relation_dom_restriction(skolem14, skolem12)) | ( relation_dom_restriction(relation_dom_restriction(skolem14, skolem13), skolem12) != relation_dom_restriction(skolem14, skolem12)) )).
% 0.19/0.35
% 0.19/0.35 % Formula: t102_relat_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(t102_relat_1-1, axiom, ( ~relation(_u56) | ~subset(_u58, _u57) | ( relation_dom_restriction(relation_dom_restriction(_u56, _u58), _u57) = relation_dom_restriction(_u56, _u58)) )).
% 0.19/0.35
% 0.19/0.35 % Formula: t103_relat_1 ( axiom ) converted to clauses:
% 0.19/0.35 cnf(t103_relat_1-1, axiom, ( ~relation(_u59) | ~subset(_u61, _u60) | ( relation_dom_restriction(relation_dom_restriction(_u59, _u60), _u61) = relation_dom_restriction(_u59, _u61)) )).
% 0.19/0.35
% 0.19/0.35 % Problem matrix:
% 0.19/0.35 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.19/0.35 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.19/0.35 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.19/0.35 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( powerset(__eqx_0) = powerset(__eqy_0)) )).
% 0.19/0.35 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( relation_dom_restriction(__eqx_0, __eqx_1) = relation_dom_restriction(__eqy_0, __eqy_1)) )).
% 0.19/0.35 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem1(__eqx_0) = skolem1(__eqy_0)) )).
% 0.19/0.35 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( skolem5(__eqx_0) = skolem5(__eqy_0)) )).
% 0.19/0.35 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem6(__eqx_0) = skolem6(__eqy_0)) )).
% 0.19/0.35 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~in(__eqx_0, __eqx_1) | in(__eqy_0, __eqy_1) )).
% 0.19/0.35 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.19/0.35 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ~relation(__eqx_0) | relation(__eqy_0) )).
% 0.19/0.35 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~relation_empty_yielding(__eqx_0) | relation_empty_yielding(__eqy_0) )).
% 0.19/0.35 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~element(__eqx_0, __eqx_1) | element(__eqy_0, __eqy_1) )).
% 0.19/0.35 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ~function(__eqx_0) | function(__eqy_0) )).
% 0.19/0.35 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ~one_to_one(__eqx_0) | one_to_one(__eqy_0) )).
% 0.19/0.35 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.19/0.35 cnf(matrix-16, plain, ( ~in(_u1, _u0) | ~in(_u0, _u1) )).
% 0.19/0.35 cnf(matrix-17, plain, ( empty(empty_set) )).
% 0.19/0.35 cnf(matrix-18, plain, ( relation(empty_set) )).
% 0.19/0.35 cnf(matrix-19, plain, ( empty(empty_set) )).
% 0.19/0.35 cnf(matrix-20, plain, ( relation(empty_set) )).
% 0.19/0.35 cnf(matrix-21, plain, ( relation_empty_yielding(empty_set) )).
% 0.19/0.35 cnf(matrix-22, plain, ( empty(empty_set) )).
% 0.19/0.35 cnf(matrix-23, plain, ( ~in(_u3, _u2) | element(_u3, _u2) )).
% 0.19/0.35 cnf(matrix-24, plain, ( ~in(_u6, _u5) | ~element(_u5, powerset(_u4)) | element(_u6, _u4) )).
% 0.19/0.35 cnf(matrix-25, plain, ( ~in(_u9, _u8) | ~element(_u8, powerset(_u7)) | ~empty(_u7) )).
% 0.19/0.35 cnf(matrix-26, plain, ( element(skolem1(_u11), _u11) )).
% 0.19/0.35 cnf(matrix-27, plain, ( ~empty(_u12) | function(_u12) )).
% 0.19/0.35 cnf(matrix-28, plain, ( ~relation(_u13) | ~empty(_u13) | ~function(_u13) | one_to_one(_u13) )).
% 0.19/0.35 cnf(matrix-29, plain, ( ~empty(powerset(_u14)) )).
% 0.19/0.35 cnf(matrix-30, plain, ( ~relation(_u16) | ~relation_empty_yielding(_u16) | relation(relation_dom_restriction(_u16, _u17)) )).
% 0.19/0.35 cnf(matrix-31, plain, ( ~relation(_u16) | ~relation_empty_yielding(_u16) | relation_empty_yielding(relation_dom_restriction(_u16, _u18)) )).
% 0.19/0.35 cnf(matrix-32, plain, ( ~empty(_u19) | relation(_u19) )).
% 0.19/0.35 cnf(matrix-33, plain, ( ~element(_u21, _u20) | empty(_u20) | in(_u21, _u20) )).
% 0.19/0.35 cnf(matrix-34, plain, ( ~empty(_u22) | ( _u22 = empty_set) )).
% 0.19/0.35 cnf(matrix-35, plain, ( ~in(_u24, _u23) | ~empty(_u23) )).
% 0.19/0.35 cnf(matrix-36, plain, ( ~empty(_u26) | ( _u26 = _u25) | ~empty(_u25) )).
% 0.19/0.35 cnf(matrix-37, plain, ( subset(_u28, _u28) )).
% 0.19/0.35 cnf(matrix-38, plain, ( ~relation(_u30) | relation(relation_dom_restriction(_u30, _u29)) )).
% 0.19/0.35 cnf(matrix-39, plain, ( ~relation(_u32) | ~function(_u32) | relation(relation_dom_restriction(_u32, _u33)) )).
% 0.19/0.35 cnf(matrix-40, plain, ( ~relation(_u32) | ~function(_u32) | function(relation_dom_restriction(_u32, _u34)) )).
% 0.19/0.35 cnf(matrix-41, plain, ( relation(skolem2) )).
% 0.19/0.35 cnf(matrix-42, plain, ( function(skolem2) )).
% 0.19/0.35 cnf(matrix-43, plain, ( relation(skolem3) )).
% 0.19/0.35 cnf(matrix-44, plain, ( empty(skolem3) )).
% 0.19/0.35 cnf(matrix-45, plain, ( function(skolem3) )).
% 0.19/0.35 cnf(matrix-46, plain, ( relation(skolem4) )).
% 0.19/0.35 cnf(matrix-47, plain, ( function(skolem4) )).
% 0.19/0.35 cnf(matrix-48, plain, ( one_to_one(skolem4) )).
% 0.19/0.35 cnf(matrix-49, plain, ( empty(_u39) | element(skolem5(_u39), powerset(_u39)) )).
% 0.19/0.35 cnf(matrix-50, plain, ( empty(_u39) | ~empty(skolem5(_u39)) )).
% 0.19/0.35 cnf(matrix-51, plain, ( element(skolem6(_u41), powerset(_u41)) )).
% 0.19/0.35 cnf(matrix-52, plain, ( empty(skolem6(_u41)) )).
% 0.19/0.35 cnf(matrix-53, plain, ( empty(skolem7) )).
% 0.19/0.35 cnf(matrix-54, plain, ( relation(skolem7) )).
% 0.19/0.35 cnf(matrix-55, plain, ( ~empty(skolem8) )).
% 0.19/0.35 cnf(matrix-56, plain, ( relation(skolem8) )).
% 0.19/0.35 cnf(matrix-57, plain, ( relation(skolem9) )).
% 0.19/0.35 cnf(matrix-58, plain, ( relation_empty_yielding(skolem9) )).
% 0.19/0.35 cnf(matrix-59, plain, ( empty(skolem10) )).
% 0.19/0.35 cnf(matrix-60, plain, ( ~empty(skolem11) )).
% 0.19/0.35 cnf(matrix-61, plain, ( ~element(_u51, powerset(_u49)) | subset(_u51, _u49) )).
% 0.19/0.35 cnf(matrix-62, plain, ( ~subset(_u52, _u50) | element(_u52, powerset(_u50)) )).
% 0.19/0.35 cnf(matrix-63, plain, ( relation(skolem14) )).
% 0.19/0.35 cnf(matrix-64, plain, ( function(skolem14) )).
% 0.19/0.35 cnf(matrix-65, plain, ( subset(skolem12, skolem13) )).
% 0.19/0.35 cnf(matrix-66, plain, ( ( relation_dom_restriction(relation_dom_restriction(skolem14, skolem12), skolem13) != relation_dom_restriction(skolem14, skolem12)) | ( relation_dom_restriction(relation_dom_restriction(skolem14, skolem13), skolem12) != relation_dom_restriction(skolem14, skolem12)) )).
% 0.19/0.35 cnf(matrix-67, plain, ( ~relation(_u56) | ~subset(_u58, _u57) | ( relation_dom_restriction(relation_dom_restriction(_u56, _u58), _u57) = relation_dom_restriction(_u56, _u58)) )).
% 0.19/0.35 cnf(matrix-68, plain, ( ~relation(_u59) | ~subset(_u61, _u60) | ( relation_dom_restriction(relation_dom_restriction(_u59, _u60), _u61) = relation_dom_restriction(_u59, _u61)) )).
% 0.19/0.35
% 0.19/0.35 % Proof stack:
% 0.19/0.35 cnf(proof-stack, plain,
% 0.19/0.35 proof_stack(
% 0.19/0.35 start(66),
% 0.19/0.35 left_branch(0, 67, 2, 2),
% 0.19/0.35 left_branch(0, 63, 0, 3),
% 0.19/0.35 right_branch(3),
% 0.19/0.35 left_branch(0, 65, 0, 4),
% 0.19/0.35 right_branch(4),
% 0.19/0.35 right_branch(2),
% 0.19/0.35 left_branch(0, 68, 2, 3),
% 0.19/0.35 left_branch(0, 63, 0, 4),
% 0.19/0.35 right_branch(4),
% 0.19/0.35 left_branch(0, 65, 0, 5),
% 0.19/0.35 right_branch(5),
% 0.19/0.35 right_branch(3)
% 0.19/0.35 )).
% 0.19/0.35 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------