TSTP Solution File: SET183+3 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET183+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 : n016.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 09:18:56 EST 2024
% Result : Theorem 0.68s 0.92s
% Output : Proof 0.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET183+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sun Mar 3 20:21:29 EST 2024
% 0.14/0.34 % CPUTime :
% 0.68/0.92 % SZS status Theorem for theBenchmark
% 0.68/0.92 % SZS output start Proof for theBenchmark
% 0.68/0.92
% 0.68/0.92 % Formula: intersection_defn ( axiom ) converted to clauses:
% 0.68/0.92 cnf(intersection_defn-1, axiom, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u7) )).
% 0.68/0.92 cnf(intersection_defn-2, axiom, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u5) )).
% 0.68/0.92 cnf(intersection_defn-3, axiom, ( ~member(_u4, _u8) | ~member(_u4, _u6) | member(_u4, intersection(_u8, _u6)) )).
% 0.68/0.92
% 0.68/0.92 % Formula: intersection_is_subset ( axiom ) converted to clauses:
% 0.68/0.92 cnf(intersection_is_subset-1, axiom, ( subset(intersection(_u10, _u9), _u10) )).
% 0.68/0.92
% 0.68/0.92 % Formula: subset_defn ( axiom ) converted to clauses:
% 0.68/0.92 cnf(subset_defn-1, axiom, ( ~subset(_u17, _u15) | ~member(_u11, _u17) | member(_u11, _u15) )).
% 0.68/0.92 cnf(subset_defn-2, axiom, ( subset(_u18, _u16) | member(skolem1(_u18, _u16), _u18) )).
% 0.68/0.92 cnf(subset_defn-3, axiom, ( subset(_u18, _u16) | ~member(skolem1(_u18, _u16), _u16) )).
% 0.68/0.92
% 0.68/0.92 % Formula: equal_defn ( axiom ) converted to clauses:
% 0.68/0.92 cnf(equal_defn-1, axiom, ( ( _u23 != _u21) | subset(_u23, _u21) )).
% 0.68/0.92 cnf(equal_defn-2, axiom, ( ( _u23 != _u21) | subset(_u21, _u23) )).
% 0.68/0.92 cnf(equal_defn-3, axiom, ( ~subset(_u24, _u22) | ~subset(_u22, _u24) | ( _u24 = _u22) )).
% 0.68/0.92
% 0.68/0.92 % Formula: commutativity_of_intersection ( axiom ) converted to clauses:
% 0.68/0.92 cnf(commutativity_of_intersection-1, axiom, ( ( intersection(_u26, _u25) = intersection(_u25, _u26)) )).
% 0.68/0.92
% 0.68/0.92 % Formula: reflexivity_of_subset ( axiom ) converted to clauses:
% 0.68/0.92 cnf(reflexivity_of_subset-1, axiom, ( subset(_u27, _u27) )).
% 0.68/0.92
% 0.68/0.92 % Formula: equal_member_defn ( axiom ) converted to clauses:
% 0.68/0.92 cnf(equal_member_defn-1, axiom, ( ( _u38 != _u36) | ~member(_u32, _u38) | member(_u32, _u36) )).
% 0.68/0.92 cnf(equal_member_defn-2, axiom, ( ( _u38 != _u36) | ~member(_u33, _u36) | member(_u33, _u38) )).
% 0.68/0.92 cnf(equal_member_defn-3, axiom, ( ( _u39 = _u37) | member(skolem2(_u39, _u37), _u39) | member(skolem3(_u39, _u37), _u37) )).
% 0.68/0.92 cnf(equal_member_defn-4, axiom, ( ( _u39 = _u37) | member(skolem2(_u39, _u37), _u39) | ~member(skolem3(_u39, _u37), _u39) )).
% 0.68/0.92 cnf(equal_member_defn-5, axiom, ( ( _u39 = _u37) | ~member(skolem2(_u39, _u37), _u37) | member(skolem3(_u39, _u37), _u37) )).
% 0.68/0.92 cnf(equal_member_defn-6, axiom, ( ( _u39 = _u37) | ~member(skolem2(_u39, _u37), _u37) | ~member(skolem3(_u39, _u37), _u39) )).
% 0.68/0.92
% 0.68/0.92 % Formula: prove_subset_intersection ( conjecture ) converted to clauses:
% 0.68/0.92 cnf(prove_subset_intersection-1, negated_conjecture, ( subset(skolem4, skolem5) )).
% 0.68/0.92 cnf(prove_subset_intersection-2, negated_conjecture, ( ( intersection(skolem4, skolem5) != skolem4) )).
% 0.68/0.92
% 0.68/0.92 % Problem matrix:
% 0.68/0.92 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.68/0.92 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.68/0.92 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.68/0.92 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( intersection(__eqx_0, __eqx_1) = intersection(__eqy_0, __eqy_1)) )).
% 0.68/0.92 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.68/0.92 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 0.68/0.92 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 0.68/0.92 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 0.68/0.92 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.68/0.92 cnf(matrix-9, plain, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u7) )).
% 0.68/0.92 cnf(matrix-10, plain, ( ~member(_u3, intersection(_u7, _u5)) | member(_u3, _u5) )).
% 0.68/0.92 cnf(matrix-11, plain, ( ~member(_u4, _u8) | ~member(_u4, _u6) | member(_u4, intersection(_u8, _u6)) )).
% 0.68/0.92 cnf(matrix-12, plain, ( subset(intersection(_u10, _u9), _u10) )).
% 0.68/0.92 cnf(matrix-13, plain, ( ~subset(_u17, _u15) | ~member(_u11, _u17) | member(_u11, _u15) )).
% 0.68/0.92 cnf(matrix-14, plain, ( subset(_u18, _u16) | member(skolem1(_u18, _u16), _u18) )).
% 0.68/0.92 cnf(matrix-15, plain, ( subset(_u18, _u16) | ~member(skolem1(_u18, _u16), _u16) )).
% 0.68/0.92 cnf(matrix-16, plain, ( ( _u23 != _u21) | subset(_u23, _u21) )).
% 0.68/0.92 cnf(matrix-17, plain, ( ( _u23 != _u21) | subset(_u21, _u23) )).
% 0.68/0.92 cnf(matrix-18, plain, ( ~subset(_u24, _u22) | ~subset(_u22, _u24) | ( _u24 = _u22) )).
% 0.68/0.92 cnf(matrix-19, plain, ( ( intersection(_u26, _u25) = intersection(_u25, _u26)) )).
% 0.68/0.92 cnf(matrix-20, plain, ( subset(_u27, _u27) )).
% 0.68/0.92 cnf(matrix-21, plain, ( ( _u38 != _u36) | ~member(_u32, _u38) | member(_u32, _u36) )).
% 0.68/0.92 cnf(matrix-22, plain, ( ( _u38 != _u36) | ~member(_u33, _u36) | member(_u33, _u38) )).
% 0.68/0.92 cnf(matrix-23, plain, ( ( _u39 = _u37) | member(skolem2(_u39, _u37), _u39) | member(skolem3(_u39, _u37), _u37) )).
% 0.68/0.92 cnf(matrix-24, plain, ( ( _u39 = _u37) | member(skolem2(_u39, _u37), _u39) | ~member(skolem3(_u39, _u37), _u39) )).
% 0.68/0.92 cnf(matrix-25, plain, ( ( _u39 = _u37) | ~member(skolem2(_u39, _u37), _u37) | member(skolem3(_u39, _u37), _u37) )).
% 0.68/0.92 cnf(matrix-26, plain, ( ( _u39 = _u37) | ~member(skolem2(_u39, _u37), _u37) | ~member(skolem3(_u39, _u37), _u39) )).
% 0.68/0.92 cnf(matrix-27, plain, ( subset(skolem4, skolem5) )).
% 0.68/0.92 cnf(matrix-28, plain, ( ( intersection(skolem4, skolem5) != skolem4) )).
% 0.68/0.92
% 0.68/0.92 % Proof stack:
% 0.68/0.92 cnf(proof-stack, plain,
% 0.68/0.92 proof_stack(
% 0.68/0.92 start(28),
% 0.68/0.92 left_branch(0, 18, 2, 2),
% 0.68/0.92 left_branch(0, 15, 0, 3),
% 0.68/0.92 left_branch(0, 9, 1, 4),
% 0.68/0.92 left_branch(0, 14, 1, 5),
% 0.68/0.92 reduction(0, 1),
% 0.68/0.92 right_branch(5),
% 0.68/0.92 right_branch(4),
% 0.68/0.92 right_branch(3),
% 0.68/0.92 left_branch(0, 15, 0, 4),
% 0.68/0.92 left_branch(0, 11, 2, 5),
% 0.68/0.92 left_branch(0, 14, 1, 6),
% 0.68/0.92 reduction(0, 1),
% 0.68/0.92 right_branch(6),
% 0.68/0.92 left_branch(0, 13, 2, 7),
% 0.68/0.92 left_branch(0, 27, 0, 8),
% 0.68/0.92 right_branch(8),
% 0.68/0.92 lemmata(0, 1),
% 0.68/0.92 right_branch(7),
% 0.68/0.92 right_branch(5),
% 0.68/0.92 right_branch(4),
% 0.68/0.92 right_branch(2)
% 0.68/0.92 )).
% 0.68/0.92 % SZS output end Proof for theBenchmark
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