TSTP Solution File: SET595+3 by ConnectPP---0.2.2
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%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : SET595+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 : n028.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 09:19:24 EST 2024
% Result : Theorem 140.94s 141.17s
% Output : Proof 140.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET595+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n028.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 : Sun Mar 3 19:48:18 EST 2024
% 0.12/0.33 % CPUTime :
% 140.94/141.17 % SZS status Theorem for theBenchmark
% 140.94/141.17 % SZS output start Proof for theBenchmark
% 140.94/141.17
% 140.94/141.17 % Formula: member_equal ( axiom ) converted to clauses:
% 140.94/141.17 cnf(member_equal-1, axiom, ( ( _u2 = _u1) | member(skolem1(_u2, _u1), _u2) | member(skolem2(_u2, _u1), _u1) )).
% 140.94/141.17 cnf(member_equal-2, axiom, ( ( _u2 = _u1) | member(skolem1(_u2, _u1), _u2) | ~member(skolem2(_u2, _u1), _u2) )).
% 140.94/141.17 cnf(member_equal-3, axiom, ( ( _u2 = _u1) | ~member(skolem1(_u2, _u1), _u1) | member(skolem2(_u2, _u1), _u1) )).
% 140.94/141.17 cnf(member_equal-4, axiom, ( ( _u2 = _u1) | ~member(skolem1(_u2, _u1), _u1) | ~member(skolem2(_u2, _u1), _u2) )).
% 140.94/141.17
% 140.94/141.17 % Formula: union_defn ( axiom ) converted to clauses:
% 140.94/141.17 cnf(union_defn-1, axiom, ( ~member(_u8, union(_u12, _u10)) | member(_u8, _u12) | member(_u8, _u10) )).
% 140.94/141.17 cnf(union_defn-2, axiom, ( member(_u9, union(_u13, _u11)) | ~member(_u9, _u13) )).
% 140.94/141.17 cnf(union_defn-3, axiom, ( member(_u9, union(_u13, _u11)) | ~member(_u9, _u11) )).
% 140.94/141.17
% 140.94/141.17 % Formula: difference_defn ( axiom ) converted to clauses:
% 140.94/141.17 cnf(difference_defn-1, axiom, ( ~member(_u17, difference(_u21, _u19)) | member(_u17, _u21) )).
% 140.94/141.17 cnf(difference_defn-2, axiom, ( ~member(_u17, difference(_u21, _u19)) | ~member(_u17, _u19) )).
% 140.94/141.17 cnf(difference_defn-3, axiom, ( ~member(_u18, _u22) | member(_u18, _u20) | member(_u18, difference(_u22, _u20)) )).
% 140.94/141.17
% 140.94/141.17 % Formula: subset_defn ( axiom ) converted to clauses:
% 140.94/141.17 cnf(subset_defn-1, axiom, ( ~subset(_u29, _u27) | ~member(_u23, _u29) | member(_u23, _u27) )).
% 140.94/141.17 cnf(subset_defn-2, axiom, ( subset(_u30, _u28) | member(skolem3(_u30, _u28), _u30) )).
% 140.94/141.17 cnf(subset_defn-3, axiom, ( subset(_u30, _u28) | ~member(skolem3(_u30, _u28), _u28) )).
% 140.94/141.17
% 140.94/141.17 % Formula: equal_defn ( axiom ) converted to clauses:
% 140.94/141.17 cnf(equal_defn-1, axiom, ( ( _u35 != _u33) | subset(_u35, _u33) )).
% 140.94/141.17 cnf(equal_defn-2, axiom, ( ( _u35 != _u33) | subset(_u33, _u35) )).
% 140.94/141.17 cnf(equal_defn-3, axiom, ( ~subset(_u36, _u34) | ~subset(_u34, _u36) | ( _u36 = _u34) )).
% 140.94/141.17
% 140.94/141.17 % Formula: commutativity_of_union ( axiom ) converted to clauses:
% 140.94/141.17 cnf(commutativity_of_union-1, axiom, ( ( union(_u38, _u37) = union(_u37, _u38)) )).
% 140.94/141.17
% 140.94/141.17 % Formula: equal_member_defn ( axiom ) converted to clauses:
% 140.94/141.17 cnf(equal_member_defn-1, axiom, ( ( _u49 != _u47) | ~member(_u43, _u49) | member(_u43, _u47) )).
% 140.94/141.17 cnf(equal_member_defn-2, axiom, ( ( _u49 != _u47) | ~member(_u44, _u47) | member(_u44, _u49) )).
% 140.94/141.17 cnf(equal_member_defn-3, axiom, ( ( _u50 = _u48) | member(skolem4(_u50, _u48), _u50) | member(skolem5(_u50, _u48), _u48) )).
% 140.94/141.17 cnf(equal_member_defn-4, axiom, ( ( _u50 = _u48) | member(skolem4(_u50, _u48), _u50) | ~member(skolem5(_u50, _u48), _u50) )).
% 140.94/141.17 cnf(equal_member_defn-5, axiom, ( ( _u50 = _u48) | ~member(skolem4(_u50, _u48), _u48) | member(skolem5(_u50, _u48), _u48) )).
% 140.94/141.17 cnf(equal_member_defn-6, axiom, ( ( _u50 = _u48) | ~member(skolem4(_u50, _u48), _u48) | ~member(skolem5(_u50, _u48), _u50) )).
% 140.94/141.17
% 140.94/141.17 % Formula: reflexivity_of_subset ( axiom ) converted to clauses:
% 140.94/141.17 cnf(reflexivity_of_subset-1, axiom, ( subset(_u51, _u51) )).
% 140.94/141.17
% 140.94/141.17 % Formula: prove_th54 ( conjecture ) converted to clauses:
% 140.94/141.17 cnf(prove_th54-1, negated_conjecture, ( subset(skolem6, skolem7) )).
% 140.94/141.17 cnf(prove_th54-2, negated_conjecture, ( ( skolem7 != union(skolem6, difference(skolem7, skolem6))) )).
% 140.94/141.17
% 140.94/141.17 % Problem matrix:
% 140.94/141.17 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 140.94/141.17 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 140.94/141.17 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 140.94/141.17 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( union(__eqx_0, __eqx_1) = union(__eqy_0, __eqy_1)) )).
% 140.94/141.17 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( difference(__eqx_0, __eqx_1) = difference(__eqy_0, __eqy_1)) )).
% 140.94/141.17 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 140.94/141.17 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 140.94/141.17 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 140.94/141.17 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem4(__eqx_0, __eqx_1) = skolem4(__eqy_0, __eqy_1)) )).
% 140.94/141.17 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem5(__eqx_0, __eqx_1) = skolem5(__eqy_0, __eqy_1)) )).
% 140.94/141.17 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 140.94/141.17 cnf(matrix-11, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 140.94/141.17 cnf(matrix-12, plain, ( ( _u2 = _u1) | member(skolem1(_u2, _u1), _u2) | member(skolem2(_u2, _u1), _u1) )).
% 140.94/141.17 cnf(matrix-13, plain, ( ( _u2 = _u1) | member(skolem1(_u2, _u1), _u2) | ~member(skolem2(_u2, _u1), _u2) )).
% 140.94/141.17 cnf(matrix-14, plain, ( ( _u2 = _u1) | ~member(skolem1(_u2, _u1), _u1) | member(skolem2(_u2, _u1), _u1) )).
% 140.94/141.17 cnf(matrix-15, plain, ( ( _u2 = _u1) | ~member(skolem1(_u2, _u1), _u1) | ~member(skolem2(_u2, _u1), _u2) )).
% 140.94/141.17 cnf(matrix-16, plain, ( ~member(_u8, union(_u12, _u10)) | member(_u8, _u12) | member(_u8, _u10) )).
% 140.94/141.17 cnf(matrix-17, plain, ( member(_u9, union(_u13, _u11)) | ~member(_u9, _u13) )).
% 140.94/141.17 cnf(matrix-18, plain, ( member(_u9, union(_u13, _u11)) | ~member(_u9, _u11) )).
% 140.94/141.17 cnf(matrix-19, plain, ( ~member(_u17, difference(_u21, _u19)) | member(_u17, _u21) )).
% 140.94/141.17 cnf(matrix-20, plain, ( ~member(_u17, difference(_u21, _u19)) | ~member(_u17, _u19) )).
% 140.94/141.17 cnf(matrix-21, plain, ( ~member(_u18, _u22) | member(_u18, _u20) | member(_u18, difference(_u22, _u20)) )).
% 140.94/141.17 cnf(matrix-22, plain, ( ~subset(_u29, _u27) | ~member(_u23, _u29) | member(_u23, _u27) )).
% 140.94/141.17 cnf(matrix-23, plain, ( subset(_u30, _u28) | member(skolem3(_u30, _u28), _u30) )).
% 140.94/141.17 cnf(matrix-24, plain, ( subset(_u30, _u28) | ~member(skolem3(_u30, _u28), _u28) )).
% 140.94/141.17 cnf(matrix-25, plain, ( ( _u35 != _u33) | subset(_u35, _u33) )).
% 140.94/141.17 cnf(matrix-26, plain, ( ( _u35 != _u33) | subset(_u33, _u35) )).
% 140.94/141.17 cnf(matrix-27, plain, ( ~subset(_u36, _u34) | ~subset(_u34, _u36) | ( _u36 = _u34) )).
% 140.94/141.17 cnf(matrix-28, plain, ( ( union(_u38, _u37) = union(_u37, _u38)) )).
% 140.94/141.17 cnf(matrix-29, plain, ( ( _u49 != _u47) | ~member(_u43, _u49) | member(_u43, _u47) )).
% 140.94/141.17 cnf(matrix-30, plain, ( ( _u49 != _u47) | ~member(_u44, _u47) | member(_u44, _u49) )).
% 140.94/141.17 cnf(matrix-31, plain, ( ( _u50 = _u48) | member(skolem4(_u50, _u48), _u50) | member(skolem5(_u50, _u48), _u48) )).
% 140.94/141.17 cnf(matrix-32, plain, ( ( _u50 = _u48) | member(skolem4(_u50, _u48), _u50) | ~member(skolem5(_u50, _u48), _u50) )).
% 140.94/141.17 cnf(matrix-33, plain, ( ( _u50 = _u48) | ~member(skolem4(_u50, _u48), _u48) | member(skolem5(_u50, _u48), _u48) )).
% 140.94/141.17 cnf(matrix-34, plain, ( ( _u50 = _u48) | ~member(skolem4(_u50, _u48), _u48) | ~member(skolem5(_u50, _u48), _u50) )).
% 140.94/141.17 cnf(matrix-35, plain, ( subset(_u51, _u51) )).
% 140.94/141.17 cnf(matrix-36, plain, ( subset(skolem6, skolem7) )).
% 140.94/141.17 cnf(matrix-37, plain, ( ( skolem7 != union(skolem6, difference(skolem7, skolem6))) )).
% 140.94/141.17
% 140.94/141.17 % Proof stack:
% 140.94/141.17 cnf(proof-stack, plain,
% 140.94/141.17 proof_stack(
% 140.94/141.17 start(37),
% 140.94/141.17 left_branch(0, 27, 2, 2),
% 140.94/141.17 left_branch(0, 24, 0, 3),
% 140.94/141.17 left_branch(0, 18, 0, 4),
% 140.94/141.17 left_branch(0, 21, 2, 5),
% 140.94/141.17 left_branch(0, 23, 1, 6),
% 140.94/141.17 reduction(0, 1),
% 140.94/141.17 right_branch(6),
% 140.94/141.17 left_branch(0, 17, 1, 7),
% 140.94/141.17 reduction(0, 2),
% 140.94/141.17 right_branch(7),
% 140.94/141.17 right_branch(5),
% 140.94/141.17 right_branch(4),
% 140.94/141.17 right_branch(3),
% 140.94/141.17 left_branch(0, 24, 0, 4),
% 140.94/141.17 left_branch(0, 22, 2, 5),
% 140.94/141.17 left_branch(0, 36, 0, 6),
% 140.94/141.17 right_branch(6),
% 140.94/141.17 left_branch(0, 16, 1, 7),
% 140.94/141.17 left_branch(0, 23, 1, 8),
% 140.94/141.17 reduction(0, 1),
% 140.94/141.17 right_branch(8),
% 140.94/141.17 left_branch(0, 19, 0, 9),
% 140.94/141.17 reduction(0, 2),
% 140.94/141.17 right_branch(9),
% 140.94/141.17 right_branch(7),
% 140.94/141.17 right_branch(5),
% 140.94/141.17 right_branch(4),
% 140.94/141.17 right_branch(2)
% 140.94/141.17 )).
% 140.94/141.17 % SZS output end Proof for theBenchmark
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