TSTP Solution File: SET630+3 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET630+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 : n010.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 09:19:29 EST 2024
% Result : Theorem 3.42s 3.65s
% Output : Proof 3.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET630+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Mar 3 19:25:55 EST 2024
% 0.13/0.35 % CPUTime :
% 3.42/3.65 % SZS status Theorem for theBenchmark
% 3.42/3.65 % SZS output start Proof for theBenchmark
% 3.42/3.65
% 3.42/3.65 % Formula: symmetric_difference_defn ( axiom ) converted to clauses:
% 3.42/3.65 cnf(symmetric_difference_defn-1, axiom, ( ( symmetric_difference(_u1, _u0) = union(difference(_u1, _u0), difference(_u0, _u1))) )).
% 3.42/3.65
% 3.42/3.65 % Formula: intersect_with_union ( axiom ) converted to clauses:
% 3.42/3.65 cnf(intersect_with_union-1, axiom, ( ~intersect(_u9, union(_u7, _u5)) | intersect(_u9, _u7) | intersect(_u9, _u5) )).
% 3.42/3.65 cnf(intersect_with_union-2, axiom, ( intersect(_u10, union(_u8, _u6)) | ~intersect(_u10, _u8) )).
% 3.42/3.65 cnf(intersect_with_union-3, axiom, ( intersect(_u10, union(_u8, _u6)) | ~intersect(_u10, _u6) )).
% 3.42/3.65
% 3.42/3.65 % Formula: intersection_and_union_disjoint ( axiom ) converted to clauses:
% 3.42/3.65 cnf(intersection_and_union_disjoint-1, axiom, ( disjoint(intersection(_u12, _u11), difference(_u12, _u11)) )).
% 3.42/3.65
% 3.42/3.65 % Formula: intersection_defn ( axiom ) converted to clauses:
% 3.42/3.65 cnf(intersection_defn-1, axiom, ( ~member(_u16, intersection(_u20, _u18)) | member(_u16, _u20) )).
% 3.42/3.65 cnf(intersection_defn-2, axiom, ( ~member(_u16, intersection(_u20, _u18)) | member(_u16, _u18) )).
% 3.42/3.65 cnf(intersection_defn-3, axiom, ( ~member(_u17, _u21) | ~member(_u17, _u19) | member(_u17, intersection(_u21, _u19)) )).
% 3.42/3.65
% 3.42/3.65 % Formula: intersect_defn ( axiom ) converted to clauses:
% 3.42/3.65 cnf(intersect_defn-1, axiom, ( ~intersect(_u28, _u26) | member(skolem1(_u28, _u26), _u28) )).
% 3.42/3.65 cnf(intersect_defn-2, axiom, ( ~intersect(_u28, _u26) | member(skolem1(_u28, _u26), _u26) )).
% 3.42/3.65 cnf(intersect_defn-3, axiom, ( ~member(_u23, _u29) | ~member(_u23, _u27) | intersect(_u29, _u27) )).
% 3.42/3.65
% 3.42/3.65 % Formula: disjoint_defn ( axiom ) converted to clauses:
% 3.42/3.65 cnf(disjoint_defn-1, axiom, ( ~disjoint(_u34, _u32) | ~intersect(_u34, _u32) )).
% 3.42/3.65 cnf(disjoint_defn-2, axiom, ( intersect(_u35, _u33) | disjoint(_u35, _u33) )).
% 3.42/3.65
% 3.42/3.65 % Formula: commutativity_of_union ( axiom ) converted to clauses:
% 3.42/3.65 cnf(commutativity_of_union-1, axiom, ( ( union(_u37, _u36) = union(_u36, _u37)) )).
% 3.42/3.65
% 3.42/3.65 % Formula: commutativity_of_intersection ( axiom ) converted to clauses:
% 3.42/3.65 cnf(commutativity_of_intersection-1, axiom, ( ( intersection(_u39, _u38) = intersection(_u38, _u39)) )).
% 3.42/3.65
% 3.42/3.65 % Formula: commutativity_of_symmetric_difference ( axiom ) converted to clauses:
% 3.42/3.65 cnf(commutativity_of_symmetric_difference-1, axiom, ( ( symmetric_difference(_u41, _u40) = symmetric_difference(_u40, _u41)) )).
% 3.42/3.65
% 3.42/3.65 % Formula: symmetry_of_intersect ( axiom ) converted to clauses:
% 3.42/3.65 cnf(symmetry_of_intersect-1, axiom, ( ~intersect(_u43, _u42) | intersect(_u42, _u43) )).
% 3.42/3.65
% 3.42/3.65 % Formula: equal_member_defn ( axiom ) converted to clauses:
% 3.42/3.65 cnf(equal_member_defn-1, axiom, ( ( _u54 != _u52) | ~member(_u48, _u54) | member(_u48, _u52) )).
% 3.42/3.65 cnf(equal_member_defn-2, axiom, ( ( _u54 != _u52) | ~member(_u49, _u52) | member(_u49, _u54) )).
% 3.42/3.65 cnf(equal_member_defn-3, axiom, ( ( _u55 = _u53) | member(skolem2(_u55, _u53), _u55) | member(skolem3(_u55, _u53), _u53) )).
% 3.42/3.65 cnf(equal_member_defn-4, axiom, ( ( _u55 = _u53) | member(skolem2(_u55, _u53), _u55) | ~member(skolem3(_u55, _u53), _u55) )).
% 3.42/3.65 cnf(equal_member_defn-5, axiom, ( ( _u55 = _u53) | ~member(skolem2(_u55, _u53), _u53) | member(skolem3(_u55, _u53), _u53) )).
% 3.42/3.65 cnf(equal_member_defn-6, axiom, ( ( _u55 = _u53) | ~member(skolem2(_u55, _u53), _u53) | ~member(skolem3(_u55, _u53), _u55) )).
% 3.42/3.65
% 3.42/3.65 % Formula: prove_intersection_and_symmetric_difference_disjoint ( conjecture ) converted to clauses:
% 3.42/3.65 cnf(prove_intersection_and_symmetric_difference_disjoint-1, negated_conjecture, ( ~disjoint(intersection(skolem4, skolem5), symmetric_difference(skolem4, skolem5)) )).
% 3.42/3.65
% 3.42/3.65 % Problem matrix:
% 3.42/3.65 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 3.42/3.65 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 3.42/3.65 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 3.42/3.65 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( symmetric_difference(__eqx_0, __eqx_1) = symmetric_difference(__eqy_0, __eqy_1)) )).
% 3.42/3.65 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( difference(__eqx_0, __eqx_1) = difference(__eqy_0, __eqy_1)) )).
% 3.42/3.65 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( union(__eqx_0, __eqx_1) = union(__eqy_0, __eqy_1)) )).
% 3.42/3.65 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( intersection(__eqx_0, __eqx_1) = intersection(__eqy_0, __eqy_1)) )).
% 3.42/3.65 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 3.42/3.65 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 3.42/3.65 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 3.42/3.65 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~intersect(__eqx_0, __eqx_1) | intersect(__eqy_0, __eqy_1) )).
% 3.42/3.65 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~disjoint(__eqx_0, __eqx_1) | disjoint(__eqy_0, __eqy_1) )).
% 3.42/3.65 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 3.42/3.65 cnf(matrix-13, plain, ( ( symmetric_difference(_u1, _u0) = union(difference(_u1, _u0), difference(_u0, _u1))) )).
% 3.42/3.65 cnf(matrix-14, plain, ( ~intersect(_u9, union(_u7, _u5)) | intersect(_u9, _u7) | intersect(_u9, _u5) )).
% 3.42/3.65 cnf(matrix-15, plain, ( intersect(_u10, union(_u8, _u6)) | ~intersect(_u10, _u8) )).
% 3.42/3.65 cnf(matrix-16, plain, ( intersect(_u10, union(_u8, _u6)) | ~intersect(_u10, _u6) )).
% 3.42/3.65 cnf(matrix-17, plain, ( disjoint(intersection(_u12, _u11), difference(_u12, _u11)) )).
% 3.42/3.65 cnf(matrix-18, plain, ( ~member(_u16, intersection(_u20, _u18)) | member(_u16, _u20) )).
% 3.42/3.65 cnf(matrix-19, plain, ( ~member(_u16, intersection(_u20, _u18)) | member(_u16, _u18) )).
% 3.42/3.65 cnf(matrix-20, plain, ( ~member(_u17, _u21) | ~member(_u17, _u19) | member(_u17, intersection(_u21, _u19)) )).
% 3.42/3.65 cnf(matrix-21, plain, ( ~intersect(_u28, _u26) | member(skolem1(_u28, _u26), _u28) )).
% 3.42/3.65 cnf(matrix-22, plain, ( ~intersect(_u28, _u26) | member(skolem1(_u28, _u26), _u26) )).
% 3.42/3.65 cnf(matrix-23, plain, ( ~member(_u23, _u29) | ~member(_u23, _u27) | intersect(_u29, _u27) )).
% 3.42/3.65 cnf(matrix-24, plain, ( ~disjoint(_u34, _u32) | ~intersect(_u34, _u32) )).
% 3.42/3.65 cnf(matrix-25, plain, ( intersect(_u35, _u33) | disjoint(_u35, _u33) )).
% 3.42/3.65 cnf(matrix-26, plain, ( ( union(_u37, _u36) = union(_u36, _u37)) )).
% 3.42/3.65 cnf(matrix-27, plain, ( ( intersection(_u39, _u38) = intersection(_u38, _u39)) )).
% 3.42/3.65 cnf(matrix-28, plain, ( ( symmetric_difference(_u41, _u40) = symmetric_difference(_u40, _u41)) )).
% 3.42/3.65 cnf(matrix-29, plain, ( ~intersect(_u43, _u42) | intersect(_u42, _u43) )).
% 3.42/3.65 cnf(matrix-30, plain, ( ( _u54 != _u52) | ~member(_u48, _u54) | member(_u48, _u52) )).
% 3.42/3.65 cnf(matrix-31, plain, ( ( _u54 != _u52) | ~member(_u49, _u52) | member(_u49, _u54) )).
% 3.42/3.65 cnf(matrix-32, plain, ( ( _u55 = _u53) | member(skolem2(_u55, _u53), _u55) | member(skolem3(_u55, _u53), _u53) )).
% 3.42/3.65 cnf(matrix-33, plain, ( ( _u55 = _u53) | member(skolem2(_u55, _u53), _u55) | ~member(skolem3(_u55, _u53), _u55) )).
% 3.42/3.65 cnf(matrix-34, plain, ( ( _u55 = _u53) | ~member(skolem2(_u55, _u53), _u53) | member(skolem3(_u55, _u53), _u53) )).
% 3.42/3.65 cnf(matrix-35, plain, ( ( _u55 = _u53) | ~member(skolem2(_u55, _u53), _u53) | ~member(skolem3(_u55, _u53), _u55) )).
% 3.42/3.65 cnf(matrix-36, plain, ( ~disjoint(intersection(skolem4, skolem5), symmetric_difference(skolem4, skolem5)) )).
% 3.42/3.65
% 3.42/3.65 % Proof stack:
% 3.42/3.65 cnf(proof-stack, plain,
% 3.42/3.65 proof_stack(
% 3.42/3.65 start(24),
% 3.42/3.65 left_branch(0, 25, 1, 2),
% 3.42/3.65 left_branch(0, 29, 0, 3),
% 3.42/3.65 left_branch(0, 24, 1, 4),
% 3.42/3.65 left_branch(0, 17, 0, 5),
% 3.42/3.65 right_branch(5),
% 3.42/3.65 right_branch(4),
% 3.42/3.65 right_branch(3),
% 3.42/3.65 right_branch(2),
% 3.42/3.65 left_branch(0, 29, 1, 3),
% 3.42/3.65 left_branch(0, 14, 2, 4),
% 3.42/3.65 left_branch(0, 25, 0, 5),
% 3.42/3.65 left_branch(0, 11, 2, 6),
% 3.42/3.65 left_branch(0, 27, 0, 7),
% 3.42/3.65 right_branch(7),
% 3.42/3.65 left_branch(0, 36, 0, 8),
% 3.42/3.65 right_branch(8),
% 3.42/3.65 left_branch(0, 1, 1, 9),
% 3.42/3.65 left_branch(0, 13, 0, 10),
% 3.42/3.65 right_branch(10),
% 3.42/3.65 right_branch(9),
% 3.42/3.65 right_branch(6),
% 3.42/3.65 right_branch(5),
% 3.42/3.65 left_branch(0, 24, 1, 6),
% 3.42/3.65 left_branch(0, 11, 3, 7),
% 3.42/3.65 left_branch(0, 27, 0, 8),
% 3.42/3.65 right_branch(8),
% 3.42/3.65 left_branch(0, 17, 0, 9),
% 3.42/3.65 right_branch(9),
% 3.42/3.65 left_branch(0, 4, 2, 10),
% 3.42/3.65 left_branch(0, 0, 0, 11),
% 3.42/3.65 right_branch(11),
% 3.42/3.65 left_branch(0, 0, 0, 12),
% 3.42/3.65 right_branch(12),
% 3.42/3.65 right_branch(10),
% 3.42/3.65 right_branch(7),
% 3.42/3.65 right_branch(6),
% 3.42/3.65 right_branch(4),
% 3.42/3.65 right_branch(3)
% 3.42/3.65 )).
% 3.42/3.65 % SZS output end Proof for theBenchmark
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