TSTP Solution File: SET594+3 by ConnectPP---0.3.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET594+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 : n027.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 14:32:03 EDT 2024
% Result : Theorem 42.68s 42.91s
% Output : Proof 42.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET594+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n027.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Mar 20 21:50:00 EDT 2024
% 0.12/0.34 % CPUTime :
% 42.68/42.91 % SZS status Theorem for theBenchmark
% 42.68/42.91 % SZS output start Proof for theBenchmark
% 42.68/42.91
% 42.68/42.91 % Formula: subset_defn ( axiom ) converted to clauses:
% 42.68/42.91 cnf(subset_defn-1, axiom, ( ~subset(_u6, _u4) | ~member(_u0, _u6) | member(_u0, _u4) )).
% 42.68/42.91 cnf(subset_defn-2, axiom, ( subset(_u7, _u5) | member(skolem1(_u7, _u5), _u7) )).
% 42.68/42.91 cnf(subset_defn-3, axiom, ( subset(_u7, _u5) | ~member(skolem1(_u7, _u5), _u5) )).
% 42.68/42.91
% 42.68/42.91 % Formula: union_defn ( axiom ) converted to clauses:
% 42.68/42.91 cnf(union_defn-1, axiom, ( ~member(_u11, union(_u15, _u13)) | member(_u11, _u15) | member(_u11, _u13) )).
% 42.68/42.91 cnf(union_defn-2, axiom, ( member(_u12, union(_u16, _u14)) | ~member(_u12, _u16) )).
% 42.68/42.91 cnf(union_defn-3, axiom, ( member(_u12, union(_u16, _u14)) | ~member(_u12, _u14) )).
% 42.68/42.91
% 42.68/42.91 % Formula: intersection_defn ( axiom ) converted to clauses:
% 42.68/42.91 cnf(intersection_defn-1, axiom, ( ~member(_u20, intersection(_u24, _u22)) | member(_u20, _u24) )).
% 42.68/42.91 cnf(intersection_defn-2, axiom, ( ~member(_u20, intersection(_u24, _u22)) | member(_u20, _u22) )).
% 42.68/42.91 cnf(intersection_defn-3, axiom, ( ~member(_u21, _u25) | ~member(_u21, _u23) | member(_u21, intersection(_u25, _u23)) )).
% 42.68/42.91
% 42.68/42.91 % Formula: equal_defn ( axiom ) converted to clauses:
% 42.68/42.91 cnf(equal_defn-1, axiom, ( ( _u30 != _u28) | subset(_u30, _u28) )).
% 42.68/42.91 cnf(equal_defn-2, axiom, ( ( _u30 != _u28) | subset(_u28, _u30) )).
% 42.68/42.91 cnf(equal_defn-3, axiom, ( ~subset(_u31, _u29) | ~subset(_u29, _u31) | ( _u31 = _u29) )).
% 42.68/42.91
% 42.68/42.91 % Formula: commutativity_of_union ( axiom ) converted to clauses:
% 42.68/42.91 cnf(commutativity_of_union-1, axiom, ( ( union(_u33, _u32) = union(_u32, _u33)) )).
% 42.68/42.91
% 42.68/42.91 % Formula: commutativity_of_intersection ( axiom ) converted to clauses:
% 42.68/42.91 cnf(commutativity_of_intersection-1, axiom, ( ( intersection(_u35, _u34) = intersection(_u34, _u35)) )).
% 42.68/42.91
% 42.68/42.91 % Formula: reflexivity_of_subset ( axiom ) converted to clauses:
% 42.68/42.91 cnf(reflexivity_of_subset-1, axiom, ( subset(_u36, _u36) )).
% 42.68/42.91
% 42.68/42.91 % Formula: equal_member_defn ( axiom ) converted to clauses:
% 42.68/42.91 cnf(equal_member_defn-1, axiom, ( ( _u47 != _u45) | ~member(_u41, _u47) | member(_u41, _u45) )).
% 42.68/42.91 cnf(equal_member_defn-2, axiom, ( ( _u47 != _u45) | ~member(_u42, _u45) | member(_u42, _u47) )).
% 42.68/42.91 cnf(equal_member_defn-3, axiom, ( ( _u48 = _u46) | member(skolem2(_u48, _u46), _u48) | member(skolem3(_u48, _u46), _u46) )).
% 42.68/42.91 cnf(equal_member_defn-4, axiom, ( ( _u48 = _u46) | member(skolem2(_u48, _u46), _u48) | ~member(skolem3(_u48, _u46), _u48) )).
% 42.68/42.91 cnf(equal_member_defn-5, axiom, ( ( _u48 = _u46) | ~member(skolem2(_u48, _u46), _u46) | member(skolem3(_u48, _u46), _u46) )).
% 42.68/42.91 cnf(equal_member_defn-6, axiom, ( ( _u48 = _u46) | ~member(skolem2(_u48, _u46), _u46) | ~member(skolem3(_u48, _u46), _u48) )).
% 42.68/42.91
% 42.68/42.91 % Formula: prove_th53 ( conjecture ) (definitionally) converted to clauses:
% 42.68/42.91 cnf(prove_th53-1, negated_conjecture, ( ( union(intersection(skolem4, skolem5), intersection(skolem4, skolem6)) = skolem4) )).
% 42.68/42.91 cnf(prove_th53-2, negated_conjecture, ( ~subset(skolem4, union(skolem5, skolem6)) )).
% 42.68/42.91
% 42.68/42.91 % Problem matrix:
% 42.68/42.91 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 42.68/42.91 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 42.68/42.91 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 42.68/42.91 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( union(__eqx_0, __eqx_1) = union(__eqy_0, __eqy_1)) )).
% 42.68/42.91 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( intersection(__eqx_0, __eqx_1) = intersection(__eqy_0, __eqy_1)) )).
% 42.68/42.91 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 42.68/42.91 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 42.68/42.91 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 42.68/42.91 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 42.68/42.91 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 42.68/42.91 cnf(matrix-10, plain, ( ~subset(_u6, _u4) | ~member(_u0, _u6) | member(_u0, _u4) )).
% 42.68/42.91 cnf(matrix-11, plain, ( subset(_u7, _u5) | member(skolem1(_u7, _u5), _u7) )).
% 42.68/42.91 cnf(matrix-12, plain, ( subset(_u7, _u5) | ~member(skolem1(_u7, _u5), _u5) )).
% 42.68/42.91 cnf(matrix-13, plain, ( ~member(_u11, union(_u15, _u13)) | member(_u11, _u15) | member(_u11, _u13) )).
% 42.68/42.91 cnf(matrix-14, plain, ( member(_u12, union(_u16, _u14)) | ~member(_u12, _u16) )).
% 42.68/42.91 cnf(matrix-15, plain, ( member(_u12, union(_u16, _u14)) | ~member(_u12, _u14) )).
% 42.68/42.91 cnf(matrix-16, plain, ( ~member(_u20, intersection(_u24, _u22)) | member(_u20, _u24) )).
% 42.68/42.91 cnf(matrix-17, plain, ( ~member(_u20, intersection(_u24, _u22)) | member(_u20, _u22) )).
% 42.68/42.91 cnf(matrix-18, plain, ( ~member(_u21, _u25) | ~member(_u21, _u23) | member(_u21, intersection(_u25, _u23)) )).
% 42.68/42.91 cnf(matrix-19, plain, ( ( _u30 != _u28) | subset(_u30, _u28) )).
% 42.68/42.91 cnf(matrix-20, plain, ( ( _u30 != _u28) | subset(_u28, _u30) )).
% 42.68/42.91 cnf(matrix-21, plain, ( ~subset(_u31, _u29) | ~subset(_u29, _u31) | ( _u31 = _u29) )).
% 42.68/42.91 cnf(matrix-22, plain, ( ( union(_u33, _u32) = union(_u32, _u33)) )).
% 42.68/42.91 cnf(matrix-23, plain, ( ( intersection(_u35, _u34) = intersection(_u34, _u35)) )).
% 42.68/42.91 cnf(matrix-24, plain, ( subset(_u36, _u36) )).
% 42.68/42.91 cnf(matrix-25, plain, ( ( _u47 != _u45) | ~member(_u41, _u47) | member(_u41, _u45) )).
% 42.68/42.91 cnf(matrix-26, plain, ( ( _u47 != _u45) | ~member(_u42, _u45) | member(_u42, _u47) )).
% 42.68/42.91 cnf(matrix-27, plain, ( ( _u48 = _u46) | member(skolem2(_u48, _u46), _u48) | member(skolem3(_u48, _u46), _u46) )).
% 42.68/42.91 cnf(matrix-28, plain, ( ( _u48 = _u46) | member(skolem2(_u48, _u46), _u48) | ~member(skolem3(_u48, _u46), _u48) )).
% 42.68/42.91 cnf(matrix-29, plain, ( ( _u48 = _u46) | ~member(skolem2(_u48, _u46), _u46) | member(skolem3(_u48, _u46), _u46) )).
% 42.68/42.91 cnf(matrix-30, plain, ( ( _u48 = _u46) | ~member(skolem2(_u48, _u46), _u46) | ~member(skolem3(_u48, _u46), _u48) )).
% 42.68/42.91 cnf(matrix-31, plain, ( ( union(intersection(skolem4, skolem5), intersection(skolem4, skolem6)) = skolem4) )).
% 42.68/42.91 cnf(matrix-32, plain, ( ~subset(skolem4, union(skolem5, skolem6)) )).
% 42.68/42.91
% 42.68/42.91 % Proof stack:
% 42.68/42.91 cnf(proof-stack, plain,
% 42.68/42.91 proof_stack(
% 42.68/42.91 start(31),
% 42.68/42.91 left_branch(0, 26, 0, 2),
% 42.68/42.91 left_branch(0, 13, 0, 3),
% 42.68/42.91 left_branch(0, 18, 0, 4),
% 42.68/42.91 left_branch(0, 17, 0, 5),
% 42.68/42.91 left_branch(0, 12, 1, 6),
% 42.68/42.91 left_branch(0, 32, 0, 7),
% 42.68/42.91 right_branch(7),
% 42.68/42.91 right_branch(6),
% 42.68/42.91 right_branch(5),
% 42.68/42.91 left_branch(0, 15, 0, 6),
% 42.68/42.91 left_branch(0, 17, 1, 7),
% 42.68/42.91 reduction(0, 2),
% 42.68/42.91 right_branch(7),
% 42.68/42.91 right_branch(6),
% 42.68/42.91 right_branch(4),
% 42.68/42.91 left_branch(0, 18, 0, 5),
% 42.68/42.91 left_branch(0, 17, 0, 6),
% 42.68/42.91 left_branch(0, 12, 1, 7),
% 42.68/42.91 left_branch(0, 32, 0, 8),
% 42.68/42.91 right_branch(8),
% 42.68/42.91 right_branch(7),
% 42.68/42.91 right_branch(6),
% 42.68/42.91 left_branch(0, 14, 0, 7),
% 42.68/42.91 left_branch(0, 17, 1, 8),
% 42.68/42.91 reduction(0, 2),
% 42.68/42.91 right_branch(8),
% 42.68/42.91 right_branch(7),
% 42.68/42.91 right_branch(5),
% 42.68/42.91 right_branch(3),
% 42.68/42.91 left_branch(0, 25, 2, 4),
% 42.68/42.91 reduction(0, 0),
% 42.68/42.91 left_branch(0, 13, 2, 6),
% 42.68/42.91 left_branch(0, 14, 0, 7),
% 42.68/42.91 left_branch(0, 11, 1, 8),
% 42.68/42.91 left_branch(0, 32, 0, 9),
% 42.68/42.91 right_branch(9),
% 42.68/42.91 right_branch(8),
% 42.68/42.91 right_branch(7),
% 42.68/42.91 reduction(0, 1),
% 42.68/42.91 right_branch(6),
% 42.68/42.91 right_branch(4),
% 42.68/42.91 right_branch(2)
% 42.68/42.91 )).
% 42.68/42.91 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------