TSTP Solution File: SET607+3 by ConnectPP---0.3.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SET607+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 : n007.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 14:32:05 EDT 2024
% Result : Theorem 62.55s 62.76s
% Output : Proof 62.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET607+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n007.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 : Wed Mar 20 21:45:14 EDT 2024
% 0.13/0.34 % CPUTime :
% 62.55/62.76 % SZS status Theorem for theBenchmark
% 62.55/62.76 % SZS output start Proof for theBenchmark
% 62.55/62.76
% 62.55/62.76 % Formula: union_defn ( axiom ) converted to clauses:
% 62.55/62.76 cnf(union_defn-1, axiom, ( ~member(_u3, union(_u7, _u5)) | member(_u3, _u7) | member(_u3, _u5) )).
% 62.55/62.76 cnf(union_defn-2, axiom, ( member(_u4, union(_u8, _u6)) | ~member(_u4, _u8) )).
% 62.55/62.76 cnf(union_defn-3, axiom, ( member(_u4, union(_u8, _u6)) | ~member(_u4, _u6) )).
% 62.55/62.76
% 62.55/62.76 % Formula: difference_defn ( axiom ) converted to clauses:
% 62.55/62.76 cnf(difference_defn-1, axiom, ( ~member(_u12, difference(_u16, _u14)) | member(_u12, _u16) )).
% 62.55/62.76 cnf(difference_defn-2, axiom, ( ~member(_u12, difference(_u16, _u14)) | ~member(_u12, _u14) )).
% 62.55/62.76 cnf(difference_defn-3, axiom, ( ~member(_u13, _u17) | member(_u13, _u15) | member(_u13, difference(_u17, _u15)) )).
% 62.55/62.76
% 62.55/62.76 % Formula: equal_defn ( axiom ) converted to clauses:
% 62.55/62.76 cnf(equal_defn-1, axiom, ( ( _u22 != _u20) | subset(_u22, _u20) )).
% 62.55/62.76 cnf(equal_defn-2, axiom, ( ( _u22 != _u20) | subset(_u20, _u22) )).
% 62.55/62.76 cnf(equal_defn-3, axiom, ( ~subset(_u23, _u21) | ~subset(_u21, _u23) | ( _u23 = _u21) )).
% 62.55/62.76
% 62.55/62.76 % Formula: commutativity_of_union ( axiom ) converted to clauses:
% 62.55/62.76 cnf(commutativity_of_union-1, axiom, ( ( union(_u25, _u24) = union(_u24, _u25)) )).
% 62.55/62.76
% 62.55/62.76 % Formula: subset_defn ( axiom ) converted to clauses:
% 62.55/62.76 cnf(subset_defn-1, axiom, ( ~subset(_u32, _u30) | ~member(_u26, _u32) | member(_u26, _u30) )).
% 62.55/62.76 cnf(subset_defn-2, axiom, ( subset(_u33, _u31) | member(skolem1(_u33, _u31), _u33) )).
% 62.55/62.76 cnf(subset_defn-3, axiom, ( subset(_u33, _u31) | ~member(skolem1(_u33, _u31), _u31) )).
% 62.55/62.76
% 62.55/62.76 % Formula: reflexivity_of_subset ( axiom ) converted to clauses:
% 62.55/62.76 cnf(reflexivity_of_subset-1, axiom, ( subset(_u34, _u34) )).
% 62.55/62.76
% 62.55/62.76 % Formula: equal_member_defn ( axiom ) converted to clauses:
% 62.55/62.76 cnf(equal_member_defn-1, axiom, ( ( _u45 != _u43) | ~member(_u39, _u45) | member(_u39, _u43) )).
% 62.55/62.76 cnf(equal_member_defn-2, axiom, ( ( _u45 != _u43) | ~member(_u40, _u43) | member(_u40, _u45) )).
% 62.55/62.76 cnf(equal_member_defn-3, axiom, ( ( _u46 = _u44) | member(skolem2(_u46, _u44), _u46) | member(skolem3(_u46, _u44), _u44) )).
% 62.55/62.76 cnf(equal_member_defn-4, axiom, ( ( _u46 = _u44) | member(skolem2(_u46, _u44), _u46) | ~member(skolem3(_u46, _u44), _u46) )).
% 62.55/62.76 cnf(equal_member_defn-5, axiom, ( ( _u46 = _u44) | ~member(skolem2(_u46, _u44), _u44) | member(skolem3(_u46, _u44), _u44) )).
% 62.55/62.76 cnf(equal_member_defn-6, axiom, ( ( _u46 = _u44) | ~member(skolem2(_u46, _u44), _u44) | ~member(skolem3(_u46, _u44), _u46) )).
% 62.55/62.76
% 62.55/62.76 % Formula: prove_th79 ( conjecture ) (definitionally) converted to clauses:
% 62.55/62.76 cnf(prove_th79-1, negated_conjecture, ( ( union(skolem4, difference(skolem5, skolem4)) != union(skolem4, skolem5)) )).
% 62.55/62.76
% 62.55/62.76 % Problem matrix:
% 62.55/62.76 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 62.55/62.76 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 62.55/62.76 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 62.55/62.76 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( union(__eqx_0, __eqx_1) = union(__eqy_0, __eqy_1)) )).
% 62.55/62.76 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( difference(__eqx_0, __eqx_1) = difference(__eqy_0, __eqy_1)) )).
% 62.55/62.76 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 62.55/62.76 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 62.55/62.76 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 62.55/62.76 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 62.55/62.76 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 62.55/62.76 cnf(matrix-10, plain, ( ~member(_u3, union(_u7, _u5)) | member(_u3, _u7) | member(_u3, _u5) )).
% 62.55/62.76 cnf(matrix-11, plain, ( member(_u4, union(_u8, _u6)) | ~member(_u4, _u8) )).
% 62.55/62.76 cnf(matrix-12, plain, ( member(_u4, union(_u8, _u6)) | ~member(_u4, _u6) )).
% 62.55/62.76 cnf(matrix-13, plain, ( ~member(_u12, difference(_u16, _u14)) | member(_u12, _u16) )).
% 62.55/62.76 cnf(matrix-14, plain, ( ~member(_u12, difference(_u16, _u14)) | ~member(_u12, _u14) )).
% 62.55/62.76 cnf(matrix-15, plain, ( ~member(_u13, _u17) | member(_u13, _u15) | member(_u13, difference(_u17, _u15)) )).
% 62.55/62.76 cnf(matrix-16, plain, ( ( _u22 != _u20) | subset(_u22, _u20) )).
% 62.55/62.76 cnf(matrix-17, plain, ( ( _u22 != _u20) | subset(_u20, _u22) )).
% 62.55/62.76 cnf(matrix-18, plain, ( ~subset(_u23, _u21) | ~subset(_u21, _u23) | ( _u23 = _u21) )).
% 62.55/62.76 cnf(matrix-19, plain, ( ( union(_u25, _u24) = union(_u24, _u25)) )).
% 62.55/62.76 cnf(matrix-20, plain, ( ~subset(_u32, _u30) | ~member(_u26, _u32) | member(_u26, _u30) )).
% 62.55/62.76 cnf(matrix-21, plain, ( subset(_u33, _u31) | member(skolem1(_u33, _u31), _u33) )).
% 62.55/62.76 cnf(matrix-22, plain, ( subset(_u33, _u31) | ~member(skolem1(_u33, _u31), _u31) )).
% 62.55/62.76 cnf(matrix-23, plain, ( subset(_u34, _u34) )).
% 62.55/62.76 cnf(matrix-24, plain, ( ( _u45 != _u43) | ~member(_u39, _u45) | member(_u39, _u43) )).
% 62.55/62.76 cnf(matrix-25, plain, ( ( _u45 != _u43) | ~member(_u40, _u43) | member(_u40, _u45) )).
% 62.55/62.76 cnf(matrix-26, plain, ( ( _u46 = _u44) | member(skolem2(_u46, _u44), _u46) | member(skolem3(_u46, _u44), _u44) )).
% 62.55/62.76 cnf(matrix-27, plain, ( ( _u46 = _u44) | member(skolem2(_u46, _u44), _u46) | ~member(skolem3(_u46, _u44), _u46) )).
% 62.55/62.76 cnf(matrix-28, plain, ( ( _u46 = _u44) | ~member(skolem2(_u46, _u44), _u44) | member(skolem3(_u46, _u44), _u44) )).
% 62.55/62.76 cnf(matrix-29, plain, ( ( _u46 = _u44) | ~member(skolem2(_u46, _u44), _u44) | ~member(skolem3(_u46, _u44), _u46) )).
% 62.55/62.76 cnf(matrix-30, plain, ( ( union(skolem4, difference(skolem5, skolem4)) != union(skolem4, skolem5)) )).
% 62.55/62.76
% 62.55/62.76 % Proof stack:
% 62.55/62.76 cnf(proof-stack, plain,
% 62.55/62.76 proof_stack(
% 62.55/62.76 start(30),
% 62.55/62.76 left_branch(0, 18, 2, 2),
% 62.55/62.76 left_branch(0, 22, 0, 3),
% 62.55/62.76 left_branch(0, 12, 0, 4),
% 62.55/62.76 left_branch(0, 13, 1, 5),
% 62.55/62.76 left_branch(0, 10, 2, 6),
% 62.55/62.76 left_branch(0, 21, 1, 7),
% 62.55/62.76 reduction(0, 1),
% 62.55/62.76 right_branch(7),
% 62.55/62.76 left_branch(0, 11, 1, 8),
% 62.55/62.76 reduction(0, 2),
% 62.55/62.76 right_branch(8),
% 62.55/62.76 right_branch(6),
% 62.55/62.76 right_branch(5),
% 62.55/62.76 right_branch(4),
% 62.55/62.76 right_branch(3),
% 62.55/62.76 left_branch(0, 22, 0, 4),
% 62.55/62.76 left_branch(0, 12, 0, 5),
% 62.55/62.76 left_branch(0, 15, 2, 6),
% 62.55/62.76 left_branch(0, 10, 2, 7),
% 62.55/62.76 left_branch(0, 21, 1, 8),
% 62.55/62.76 reduction(0, 1),
% 62.55/62.76 right_branch(8),
% 62.55/62.76 left_branch(0, 11, 1, 9),
% 62.55/62.76 reduction(0, 2),
% 62.55/62.76 right_branch(9),
% 62.55/62.76 right_branch(7),
% 62.55/62.76 left_branch(0, 12, 1, 8),
% 62.55/62.76 left_branch(0, 25, 1, 9),
% 62.55/62.76 left_branch(0, 19, 0, 10),
% 62.55/62.76 right_branch(10),
% 62.55/62.76 reduction(0, 2),
% 62.55/62.76 right_branch(9),
% 62.55/62.76 right_branch(8),
% 62.55/62.76 right_branch(6),
% 62.55/62.76 right_branch(5),
% 62.55/62.76 right_branch(4),
% 62.55/62.76 right_branch(2)
% 62.55/62.76 )).
% 62.55/62.76 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------