TSTP Solution File: SET629+3 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET629+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 : 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 09:19:29 EST 2024
% Result : Theorem 0.80s 1.06s
% Output : Proof 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET629+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.12 % 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 19:32:40 EST 2024
% 0.13/0.33 % CPUTime :
% 0.80/1.06 % SZS status Theorem for theBenchmark
% 0.80/1.06 % SZS output start Proof for theBenchmark
% 0.80/1.06
% 0.80/1.06 % Formula: intersection_defn ( axiom ) converted to clauses:
% 0.80/1.06 cnf(intersection_defn-1, axiom, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u7) )).
% 0.80/1.06 cnf(intersection_defn-2, axiom, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u5) )).
% 0.80/1.06 cnf(intersection_defn-3, axiom, ( ~member(_u4, _u8) | ~member(_u4, _u6) | member(_u4, intersection(_u8, _u6)) )).
% 0.80/1.06
% 0.80/1.06 % Formula: difference_defn ( axiom ) converted to clauses:
% 0.80/1.06 cnf(difference_defn-1, axiom, ( ~member(_u12, difference(_u16, _u14)) | member(_u12, _u16) )).
% 0.80/1.06 cnf(difference_defn-2, axiom, ( ~member(_u12, difference(_u16, _u14)) | ~member(_u12, _u14) )).
% 0.80/1.06 cnf(difference_defn-3, axiom, ( ~member(_u13, _u17) | member(_u13, _u15) | member(_u13, difference(_u17, _u15)) )).
% 0.80/1.06
% 0.80/1.06 % Formula: intersect_defn ( axiom ) converted to clauses:
% 0.80/1.06 cnf(intersect_defn-1, axiom, ( ~intersect(_u24, _u22) | member(skolem1(_u24, _u22), _u24) )).
% 0.80/1.06 cnf(intersect_defn-2, axiom, ( ~intersect(_u24, _u22) | member(skolem1(_u24, _u22), _u22) )).
% 0.80/1.06 cnf(intersect_defn-3, axiom, ( ~member(_u19, _u25) | ~member(_u19, _u23) | intersect(_u25, _u23) )).
% 0.80/1.06
% 0.80/1.06 % Formula: disjoint_defn ( axiom ) converted to clauses:
% 0.80/1.06 cnf(disjoint_defn-1, axiom, ( ~disjoint(_u30, _u28) | ~intersect(_u30, _u28) )).
% 0.80/1.06 cnf(disjoint_defn-2, axiom, ( intersect(_u31, _u29) | disjoint(_u31, _u29) )).
% 0.80/1.06
% 0.80/1.06 % Formula: commutativity_of_intersection ( axiom ) converted to clauses:
% 0.80/1.06 cnf(commutativity_of_intersection-1, axiom, ( ( intersection(_u33, _u32) = intersection(_u32, _u33)) )).
% 0.80/1.06
% 0.80/1.06 % Formula: symmetry_of_intersect ( axiom ) converted to clauses:
% 0.80/1.06 cnf(symmetry_of_intersect-1, axiom, ( ~intersect(_u35, _u34) | intersect(_u34, _u35) )).
% 0.80/1.06
% 0.80/1.06 % Formula: equal_member_defn ( axiom ) converted to clauses:
% 0.80/1.06 cnf(equal_member_defn-1, axiom, ( ( _u46 != _u44) | ~member(_u40, _u46) | member(_u40, _u44) )).
% 0.80/1.06 cnf(equal_member_defn-2, axiom, ( ( _u46 != _u44) | ~member(_u41, _u44) | member(_u41, _u46) )).
% 0.80/1.06 cnf(equal_member_defn-3, axiom, ( ( _u47 = _u45) | member(skolem2(_u47, _u45), _u47) | member(skolem3(_u47, _u45), _u45) )).
% 0.80/1.06 cnf(equal_member_defn-4, axiom, ( ( _u47 = _u45) | member(skolem2(_u47, _u45), _u47) | ~member(skolem3(_u47, _u45), _u47) )).
% 0.80/1.06 cnf(equal_member_defn-5, axiom, ( ( _u47 = _u45) | ~member(skolem2(_u47, _u45), _u45) | member(skolem3(_u47, _u45), _u45) )).
% 0.80/1.06 cnf(equal_member_defn-6, axiom, ( ( _u47 = _u45) | ~member(skolem2(_u47, _u45), _u45) | ~member(skolem3(_u47, _u45), _u47) )).
% 0.80/1.06
% 0.80/1.06 % Formula: prove_intersection_and_difference_disjoint ( conjecture ) converted to clauses:
% 0.80/1.06 cnf(prove_intersection_and_difference_disjoint-1, negated_conjecture, ( ~disjoint(intersection(skolem4, skolem5), difference(skolem4, skolem5)) )).
% 0.80/1.06
% 0.80/1.06 % Problem matrix:
% 0.80/1.06 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.80/1.06 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.80/1.06 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.80/1.06 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( intersection(__eqx_0, __eqx_1) = intersection(__eqy_0, __eqy_1)) )).
% 0.80/1.06 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( difference(__eqx_0, __eqx_1) = difference(__eqy_0, __eqy_1)) )).
% 0.80/1.06 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.80/1.06 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.80/1.06 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.80/1.06 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 0.80/1.06 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~intersect(__eqx_0, __eqx_1) | intersect(__eqy_0, __eqy_1) )).
% 0.80/1.06 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~disjoint(__eqx_0, __eqx_1) | disjoint(__eqy_0, __eqy_1) )).
% 0.80/1.06 cnf(matrix-11, plain, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u7) )).
% 0.80/1.06 cnf(matrix-12, plain, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u5) )).
% 0.80/1.06 cnf(matrix-13, plain, ( ~member(_u4, _u8) | ~member(_u4, _u6) | member(_u4, intersection(_u8, _u6)) )).
% 0.80/1.06 cnf(matrix-14, plain, ( ~member(_u12, difference(_u16, _u14)) | member(_u12, _u16) )).
% 0.80/1.06 cnf(matrix-15, plain, ( ~member(_u12, difference(_u16, _u14)) | ~member(_u12, _u14) )).
% 0.80/1.06 cnf(matrix-16, plain, ( ~member(_u13, _u17) | member(_u13, _u15) | member(_u13, difference(_u17, _u15)) )).
% 0.80/1.06 cnf(matrix-17, plain, ( ~intersect(_u24, _u22) | member(skolem1(_u24, _u22), _u24) )).
% 0.80/1.06 cnf(matrix-18, plain, ( ~intersect(_u24, _u22) | member(skolem1(_u24, _u22), _u22) )).
% 0.80/1.06 cnf(matrix-19, plain, ( ~member(_u19, _u25) | ~member(_u19, _u23) | intersect(_u25, _u23) )).
% 0.80/1.06 cnf(matrix-20, plain, ( ~disjoint(_u30, _u28) | ~intersect(_u30, _u28) )).
% 0.80/1.06 cnf(matrix-21, plain, ( intersect(_u31, _u29) | disjoint(_u31, _u29) )).
% 0.80/1.06 cnf(matrix-22, plain, ( ( intersection(_u33, _u32) = intersection(_u32, _u33)) )).
% 0.80/1.06 cnf(matrix-23, plain, ( ~intersect(_u35, _u34) | intersect(_u34, _u35) )).
% 0.80/1.06 cnf(matrix-24, plain, ( ( _u46 != _u44) | ~member(_u40, _u46) | member(_u40, _u44) )).
% 0.80/1.06 cnf(matrix-25, plain, ( ( _u46 != _u44) | ~member(_u41, _u44) | member(_u41, _u46) )).
% 0.80/1.06 cnf(matrix-26, plain, ( ( _u47 = _u45) | member(skolem2(_u47, _u45), _u47) | member(skolem3(_u47, _u45), _u45) )).
% 0.80/1.06 cnf(matrix-27, plain, ( ( _u47 = _u45) | member(skolem2(_u47, _u45), _u47) | ~member(skolem3(_u47, _u45), _u47) )).
% 0.80/1.06 cnf(matrix-28, plain, ( ( _u47 = _u45) | ~member(skolem2(_u47, _u45), _u45) | member(skolem3(_u47, _u45), _u45) )).
% 0.80/1.06 cnf(matrix-29, plain, ( ( _u47 = _u45) | ~member(skolem2(_u47, _u45), _u45) | ~member(skolem3(_u47, _u45), _u47) )).
% 0.80/1.06 cnf(matrix-30, plain, ( ~disjoint(intersection(skolem4, skolem5), difference(skolem4, skolem5)) )).
% 0.80/1.06
% 0.80/1.06 % Proof stack:
% 0.80/1.06 cnf(proof-stack, plain,
% 0.80/1.06 proof_stack(
% 0.80/1.06 start(15),
% 0.80/1.06 left_branch(0, 18, 1, 2),
% 0.80/1.06 left_branch(0, 21, 0, 3),
% 0.80/1.06 left_branch(0, 30, 0, 4),
% 0.80/1.06 right_branch(4),
% 0.80/1.06 right_branch(3),
% 0.80/1.06 right_branch(2),
% 0.80/1.06 left_branch(0, 12, 1, 3),
% 0.80/1.06 left_branch(0, 17, 1, 4),
% 0.80/1.06 left_branch(0, 21, 0, 5),
% 0.80/1.06 left_branch(0, 30, 0, 6),
% 0.80/1.06 right_branch(6),
% 0.80/1.06 right_branch(5),
% 0.80/1.06 right_branch(4),
% 0.80/1.06 right_branch(3)
% 0.80/1.06 )).
% 0.80/1.06 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------