TSTP Solution File: SET637+3 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET637+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n008.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 14:32:10 EDT 2024
% Result : Theorem 20.92s 21.08s
% Output : Proof 20.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET637+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n008.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
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Mar 20 22:12:58 EDT 2024
% 0.12/0.33 % CPUTime :
% 20.92/21.08 % SZS status Theorem for theBenchmark
% 20.92/21.08 % SZS output start Proof for theBenchmark
% 20.92/21.08
% 20.92/21.08 % Formula: intersection_defn ( axiom ) converted to clauses:
% 20.92/21.08 cnf(intersection_defn-1, axiom, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u7) )).
% 20.92/21.08 cnf(intersection_defn-2, axiom, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u5) )).
% 20.92/21.08 cnf(intersection_defn-3, axiom, ( ~member(_u4, _u8) | ~member(_u4, _u6) | member(_u4, intersection(_u8, _u6)) )).
% 20.92/21.08
% 20.92/21.08 % Formula: intersect_defn ( axiom ) converted to clauses:
% 20.92/21.08 cnf(intersect_defn-1, axiom, ( ~intersect(_u15, _u13) | member(skolem1(_u15, _u13), _u15) )).
% 20.92/21.08 cnf(intersect_defn-2, axiom, ( ~intersect(_u15, _u13) | member(skolem1(_u15, _u13), _u13) )).
% 20.92/21.08 cnf(intersect_defn-3, axiom, ( ~member(_u10, _u16) | ~member(_u10, _u14) | intersect(_u16, _u14) )).
% 20.92/21.08
% 20.92/21.08 % Formula: empty_set_defn ( axiom ) converted to clauses:
% 20.92/21.08 cnf(empty_set_defn-1, axiom, ( ~member(_u17, empty_set) )).
% 20.92/21.08
% 20.92/21.08 % Formula: equal_member_defn ( axiom ) converted to clauses:
% 20.92/21.08 cnf(equal_member_defn-1, axiom, ( ( _u28 != _u26) | ~member(_u22, _u28) | member(_u22, _u26) )).
% 20.92/21.08 cnf(equal_member_defn-2, axiom, ( ( _u28 != _u26) | ~member(_u23, _u26) | member(_u23, _u28) )).
% 20.92/21.08 cnf(equal_member_defn-3, axiom, ( ( _u29 = _u27) | member(skolem2(_u29, _u27), _u29) | member(skolem3(_u29, _u27), _u27) )).
% 20.92/21.08 cnf(equal_member_defn-4, axiom, ( ( _u29 = _u27) | member(skolem2(_u29, _u27), _u29) | ~member(skolem3(_u29, _u27), _u29) )).
% 20.92/21.08 cnf(equal_member_defn-5, axiom, ( ( _u29 = _u27) | ~member(skolem2(_u29, _u27), _u27) | member(skolem3(_u29, _u27), _u27) )).
% 20.92/21.08 cnf(equal_member_defn-6, axiom, ( ( _u29 = _u27) | ~member(skolem2(_u29, _u27), _u27) | ~member(skolem3(_u29, _u27), _u29) )).
% 20.92/21.08
% 20.92/21.08 % Formula: not_equal_defn ( axiom ) converted to clauses:
% 20.92/21.08 cnf(not_equal_defn-1, axiom, ( ~not_equal(_u34, _u32) | ( _u34 != _u32) )).
% 20.92/21.08 cnf(not_equal_defn-2, axiom, ( ( _u35 = _u33) | not_equal(_u35, _u33) )).
% 20.92/21.08
% 20.92/21.08 % Formula: commutativity_of_intersection ( axiom ) converted to clauses:
% 20.92/21.08 cnf(commutativity_of_intersection-1, axiom, ( ( intersection(_u37, _u36) = intersection(_u36, _u37)) )).
% 20.92/21.08
% 20.92/21.08 % Formula: symmetry_of_intersect ( axiom ) converted to clauses:
% 20.92/21.08 cnf(symmetry_of_intersect-1, axiom, ( ~intersect(_u39, _u38) | intersect(_u38, _u39) )).
% 20.92/21.08
% 20.92/21.08 % Formula: empty_defn ( axiom ) converted to clauses:
% 20.92/21.08 cnf(empty_defn-1, axiom, ( ~empty(_u43) | ~member(_u40, _u43) )).
% 20.92/21.08 cnf(empty_defn-2, axiom, ( member(skolem4(_u44), _u44) | empty(_u44) )).
% 20.92/21.08
% 20.92/21.08 % Formula: prove_th119 ( conjecture ) (definitionally) converted to clauses:
% 20.92/21.08 cnf(prove_th119-1, negated_conjecture, ( ~_def0 | ~_def1 )).
% 20.92/21.08 cnf(prove_th119-2, negated_conjecture, ( _def0 | intersect(skolem5, skolem6) )).
% 20.92/21.08 cnf(prove_th119-3, negated_conjecture, ( _def0 | ~not_equal(intersection(skolem5, skolem6), empty_set) )).
% 20.92/21.08 cnf(prove_th119-4, negated_conjecture, ( _def1 | not_equal(intersection(skolem5, skolem6), empty_set) )).
% 20.92/21.08 cnf(prove_th119-5, negated_conjecture, ( _def1 | ~intersect(skolem5, skolem6) )).
% 20.92/21.08
% 20.92/21.08 % Problem matrix:
% 20.92/21.08 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 20.92/21.08 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 20.92/21.08 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 20.92/21.08 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( intersection(__eqx_0, __eqx_1) = intersection(__eqy_0, __eqy_1)) )).
% 20.92/21.08 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 20.92/21.08 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 20.92/21.08 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 20.92/21.08 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( skolem4(__eqx_0) = skolem4(__eqy_0)) )).
% 20.92/21.08 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 20.92/21.08 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~intersect(__eqx_0, __eqx_1) | intersect(__eqy_0, __eqy_1) )).
% 20.92/21.08 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~not_equal(__eqx_0, __eqx_1) | not_equal(__eqy_0, __eqy_1) )).
% 20.92/21.08 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 20.92/21.08 cnf(matrix-12, plain, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u7) )).
% 20.92/21.08 cnf(matrix-13, plain, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u5) )).
% 20.92/21.08 cnf(matrix-14, plain, ( ~member(_u4, _u8) | ~member(_u4, _u6) | member(_u4, intersection(_u8, _u6)) )).
% 20.92/21.08 cnf(matrix-15, plain, ( ~intersect(_u15, _u13) | member(skolem1(_u15, _u13), _u15) )).
% 20.92/21.08 cnf(matrix-16, plain, ( ~intersect(_u15, _u13) | member(skolem1(_u15, _u13), _u13) )).
% 20.92/21.08 cnf(matrix-17, plain, ( ~member(_u10, _u16) | ~member(_u10, _u14) | intersect(_u16, _u14) )).
% 20.92/21.08 cnf(matrix-18, plain, ( ~member(_u17, empty_set) )).
% 20.92/21.08 cnf(matrix-19, plain, ( ( _u28 != _u26) | ~member(_u22, _u28) | member(_u22, _u26) )).
% 20.92/21.08 cnf(matrix-20, plain, ( ( _u28 != _u26) | ~member(_u23, _u26) | member(_u23, _u28) )).
% 20.92/21.08 cnf(matrix-21, plain, ( ( _u29 = _u27) | member(skolem2(_u29, _u27), _u29) | member(skolem3(_u29, _u27), _u27) )).
% 20.92/21.08 cnf(matrix-22, plain, ( ( _u29 = _u27) | member(skolem2(_u29, _u27), _u29) | ~member(skolem3(_u29, _u27), _u29) )).
% 20.92/21.08 cnf(matrix-23, plain, ( ( _u29 = _u27) | ~member(skolem2(_u29, _u27), _u27) | member(skolem3(_u29, _u27), _u27) )).
% 20.92/21.08 cnf(matrix-24, plain, ( ( _u29 = _u27) | ~member(skolem2(_u29, _u27), _u27) | ~member(skolem3(_u29, _u27), _u29) )).
% 20.92/21.08 cnf(matrix-25, plain, ( ~not_equal(_u34, _u32) | ( _u34 != _u32) )).
% 20.92/21.08 cnf(matrix-26, plain, ( ( _u35 = _u33) | not_equal(_u35, _u33) )).
% 20.92/21.08 cnf(matrix-27, plain, ( ( intersection(_u37, _u36) = intersection(_u36, _u37)) )).
% 20.92/21.08 cnf(matrix-28, plain, ( ~intersect(_u39, _u38) | intersect(_u38, _u39) )).
% 20.92/21.08 cnf(matrix-29, plain, ( ~empty(_u43) | ~member(_u40, _u43) )).
% 20.92/21.08 cnf(matrix-30, plain, ( member(skolem4(_u44), _u44) | empty(_u44) )).
% 20.92/21.08 cnf(matrix-31, plain, ( ~_def0 | ~_def1 )).
% 20.92/21.08 cnf(matrix-32, plain, ( _def0 | intersect(skolem5, skolem6) )).
% 20.92/21.08 cnf(matrix-33, plain, ( _def0 | ~not_equal(intersection(skolem5, skolem6), empty_set) )).
% 20.92/21.08 cnf(matrix-34, plain, ( _def1 | not_equal(intersection(skolem5, skolem6), empty_set) )).
% 20.92/21.08 cnf(matrix-35, plain, ( _def1 | ~intersect(skolem5, skolem6) )).
% 20.92/21.08
% 20.92/21.08 % Proof stack:
% 20.92/21.08 cnf(proof-stack, plain,
% 20.92/21.08 proof_stack(
% 20.92/21.08 start(31),
% 20.92/21.08 left_branch(0, 33, 0, 2),
% 20.92/21.08 left_branch(0, 26, 1, 3),
% 20.92/21.08 left_branch(0, 19, 0, 4),
% 20.92/21.08 left_branch(0, 29, 1, 5),
% 20.92/21.08 left_branch(0, 30, 1, 6),
% 20.92/21.08 left_branch(0, 18, 0, 7),
% 20.92/21.08 right_branch(7),
% 20.92/21.08 right_branch(6),
% 20.92/21.08 right_branch(5),
% 20.92/21.08 left_branch(0, 14, 2, 6),
% 20.92/21.08 left_branch(0, 15, 1, 7),
% 20.92/21.08 left_branch(0, 32, 1, 8),
% 20.92/21.08 reduction(0, 0),
% 20.92/21.08 right_branch(8),
% 20.92/21.08 right_branch(7),
% 20.92/21.08 left_branch(0, 16, 1, 8),
% 20.92/21.08 left_branch(0, 32, 1, 9),
% 20.92/21.08 reduction(0, 0),
% 20.92/21.08 right_branch(9),
% 20.92/21.08 right_branch(8),
% 20.92/21.08 right_branch(6),
% 20.92/21.08 right_branch(4),
% 20.92/21.08 right_branch(3),
% 20.92/21.08 right_branch(2),
% 20.92/21.08 left_branch(0, 35, 0, 3),
% 20.92/21.08 left_branch(0, 17, 2, 4),
% 20.92/21.08 left_branch(0, 12, 1, 5),
% 20.92/21.08 left_branch(0, 21, 1, 6),
% 20.92/21.08 left_branch(0, 25, 1, 7),
% 20.92/21.08 left_branch(0, 34, 1, 8),
% 20.92/21.08 reduction(0, 0),
% 20.92/21.08 right_branch(8),
% 20.92/21.08 right_branch(7),
% 20.92/21.08 left_branch(0, 29, 1, 8),
% 20.92/21.08 left_branch(0, 30, 1, 9),
% 20.92/21.08 left_branch(0, 18, 0, 10),
% 20.92/21.08 right_branch(10),
% 20.92/21.08 right_branch(9),
% 20.92/21.08 right_branch(8),
% 20.92/21.08 right_branch(6),
% 20.92/21.08 right_branch(5),
% 20.92/21.08 left_branch(0, 13, 1, 6),
% 20.92/21.08 left_branch(0, 21, 1, 7),
% 20.92/21.08 left_branch(0, 25, 1, 8),
% 20.92/21.08 left_branch(0, 34, 1, 9),
% 20.92/21.08 reduction(0, 0),
% 20.92/21.08 right_branch(9),
% 20.92/21.08 right_branch(8),
% 20.92/21.08 left_branch(0, 29, 1, 9),
% 20.92/21.08 left_branch(0, 30, 1, 10),
% 20.92/21.08 left_branch(0, 18, 0, 11),
% 20.92/21.08 right_branch(11),
% 20.92/21.08 right_branch(10),
% 20.92/21.08 right_branch(9),
% 20.92/21.08 right_branch(7),
% 20.92/21.08 right_branch(6),
% 20.92/21.08 right_branch(4),
% 20.92/21.08 right_branch(3)
% 20.92/21.08 )).
% 20.92/21.08 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------