TSTP Solution File: SET633+3 by ConnectPP---0.2.2
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% File : ConnectPP---0.2.2
% Problem : SET633+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 : n002.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 09:19:30 EST 2024
% Result : Theorem 7.52s 7.73s
% Output : Proof 7.52s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET633+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n002.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
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Mar 3 19:06:26 EST 2024
% 0.12/0.34 % CPUTime :
% 7.52/7.73 % SZS status Theorem for theBenchmark
% 7.52/7.73 % SZS output start Proof for theBenchmark
% 7.52/7.73
% 7.52/7.73 % Formula: symmetric_difference_defn ( axiom ) converted to clauses:
% 7.52/7.73 cnf(symmetric_difference_defn-1, axiom, ( ( symmetric_difference(_u1, _u0) = union(difference(_u1, _u0), difference(_u0, _u1))) )).
% 7.52/7.73
% 7.52/7.73 % Formula: union_subset ( axiom ) converted to clauses:
% 7.52/7.73 cnf(union_subset-1, axiom, ( ~subset(_u4, _u3) | ~subset(_u2, _u3) | subset(union(_u4, _u2), _u3) )).
% 7.52/7.73
% 7.52/7.73 % Formula: difference_defn ( axiom ) converted to clauses:
% 7.52/7.73 cnf(difference_defn-1, axiom, ( ~member(_u8, difference(_u12, _u10)) | member(_u8, _u12) )).
% 7.52/7.73 cnf(difference_defn-2, axiom, ( ~member(_u8, difference(_u12, _u10)) | ~member(_u8, _u10) )).
% 7.52/7.73 cnf(difference_defn-3, axiom, ( ~member(_u9, _u13) | member(_u9, _u11) | member(_u9, difference(_u13, _u11)) )).
% 7.52/7.73
% 7.52/7.73 % Formula: subset_defn ( axiom ) converted to clauses:
% 7.52/7.73 cnf(subset_defn-1, axiom, ( ~subset(_u20, _u18) | ~member(_u14, _u20) | member(_u14, _u18) )).
% 7.52/7.73 cnf(subset_defn-2, axiom, ( subset(_u21, _u19) | member(skolem1(_u21, _u19), _u21) )).
% 7.52/7.73 cnf(subset_defn-3, axiom, ( subset(_u21, _u19) | ~member(skolem1(_u21, _u19), _u19) )).
% 7.52/7.73
% 7.52/7.73 % Formula: commutativity_of_union ( axiom ) converted to clauses:
% 7.52/7.73 cnf(commutativity_of_union-1, axiom, ( ( union(_u23, _u22) = union(_u22, _u23)) )).
% 7.52/7.73
% 7.52/7.73 % Formula: commutativity_of_symmetric_difference ( axiom ) converted to clauses:
% 7.52/7.73 cnf(commutativity_of_symmetric_difference-1, axiom, ( ( symmetric_difference(_u25, _u24) = symmetric_difference(_u24, _u25)) )).
% 7.52/7.73
% 7.52/7.73 % Formula: equal_member_defn ( axiom ) converted to clauses:
% 7.52/7.73 cnf(equal_member_defn-1, axiom, ( ( _u36 != _u34) | ~member(_u30, _u36) | member(_u30, _u34) )).
% 7.52/7.73 cnf(equal_member_defn-2, axiom, ( ( _u36 != _u34) | ~member(_u31, _u34) | member(_u31, _u36) )).
% 7.52/7.73 cnf(equal_member_defn-3, axiom, ( ( _u37 = _u35) | member(skolem2(_u37, _u35), _u37) | member(skolem3(_u37, _u35), _u35) )).
% 7.52/7.73 cnf(equal_member_defn-4, axiom, ( ( _u37 = _u35) | member(skolem2(_u37, _u35), _u37) | ~member(skolem3(_u37, _u35), _u37) )).
% 7.52/7.73 cnf(equal_member_defn-5, axiom, ( ( _u37 = _u35) | ~member(skolem2(_u37, _u35), _u35) | member(skolem3(_u37, _u35), _u35) )).
% 7.52/7.73 cnf(equal_member_defn-6, axiom, ( ( _u37 = _u35) | ~member(skolem2(_u37, _u35), _u35) | ~member(skolem3(_u37, _u35), _u37) )).
% 7.52/7.73
% 7.52/7.73 % Formula: reflexivity_of_subset ( axiom ) converted to clauses:
% 7.52/7.73 cnf(reflexivity_of_subset-1, axiom, ( subset(_u38, _u38) )).
% 7.52/7.73
% 7.52/7.73 % Formula: prove_th115 ( conjecture ) converted to clauses:
% 7.52/7.73 cnf(prove_th115-1, negated_conjecture, ( subset(difference(skolem4, skolem5), skolem6) )).
% 7.52/7.73 cnf(prove_th115-2, negated_conjecture, ( subset(difference(skolem5, skolem4), skolem6) )).
% 7.52/7.73 cnf(prove_th115-3, negated_conjecture, ( ~subset(symmetric_difference(skolem4, skolem5), skolem6) )).
% 7.52/7.73
% 7.52/7.73 % Problem matrix:
% 7.52/7.73 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 7.52/7.73 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 7.52/7.73 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 7.52/7.73 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( symmetric_difference(__eqx_0, __eqx_1) = symmetric_difference(__eqy_0, __eqy_1)) )).
% 7.52/7.73 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( difference(__eqx_0, __eqx_1) = difference(__eqy_0, __eqy_1)) )).
% 7.52/7.73 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( union(__eqx_0, __eqx_1) = union(__eqy_0, __eqy_1)) )).
% 7.52/7.73 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 7.52/7.73 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem2(__eqx_0, __eqx_1) = skolem2(__eqy_0, __eqy_1)) )).
% 7.52/7.73 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem3(__eqx_0, __eqx_1) = skolem3(__eqy_0, __eqy_1)) )).
% 7.52/7.73 cnf(matrix-9, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 7.52/7.73 cnf(matrix-10, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 7.52/7.73 cnf(matrix-11, plain, ( ( symmetric_difference(_u1, _u0) = union(difference(_u1, _u0), difference(_u0, _u1))) )).
% 7.52/7.73 cnf(matrix-12, plain, ( ~subset(_u4, _u3) | ~subset(_u2, _u3) | subset(union(_u4, _u2), _u3) )).
% 7.52/7.73 cnf(matrix-13, plain, ( ~member(_u8, difference(_u12, _u10)) | member(_u8, _u12) )).
% 7.52/7.73 cnf(matrix-14, plain, ( ~member(_u8, difference(_u12, _u10)) | ~member(_u8, _u10) )).
% 7.52/7.73 cnf(matrix-15, plain, ( ~member(_u9, _u13) | member(_u9, _u11) | member(_u9, difference(_u13, _u11)) )).
% 7.52/7.73 cnf(matrix-16, plain, ( ~subset(_u20, _u18) | ~member(_u14, _u20) | member(_u14, _u18) )).
% 7.52/7.73 cnf(matrix-17, plain, ( subset(_u21, _u19) | member(skolem1(_u21, _u19), _u21) )).
% 7.52/7.73 cnf(matrix-18, plain, ( subset(_u21, _u19) | ~member(skolem1(_u21, _u19), _u19) )).
% 7.52/7.73 cnf(matrix-19, plain, ( ( union(_u23, _u22) = union(_u22, _u23)) )).
% 7.52/7.73 cnf(matrix-20, plain, ( ( symmetric_difference(_u25, _u24) = symmetric_difference(_u24, _u25)) )).
% 7.52/7.73 cnf(matrix-21, plain, ( ( _u36 != _u34) | ~member(_u30, _u36) | member(_u30, _u34) )).
% 7.52/7.73 cnf(matrix-22, plain, ( ( _u36 != _u34) | ~member(_u31, _u34) | member(_u31, _u36) )).
% 7.52/7.73 cnf(matrix-23, plain, ( ( _u37 = _u35) | member(skolem2(_u37, _u35), _u37) | member(skolem3(_u37, _u35), _u35) )).
% 7.52/7.73 cnf(matrix-24, plain, ( ( _u37 = _u35) | member(skolem2(_u37, _u35), _u37) | ~member(skolem3(_u37, _u35), _u37) )).
% 7.52/7.73 cnf(matrix-25, plain, ( ( _u37 = _u35) | ~member(skolem2(_u37, _u35), _u35) | member(skolem3(_u37, _u35), _u35) )).
% 7.52/7.73 cnf(matrix-26, plain, ( ( _u37 = _u35) | ~member(skolem2(_u37, _u35), _u35) | ~member(skolem3(_u37, _u35), _u37) )).
% 7.52/7.73 cnf(matrix-27, plain, ( subset(_u38, _u38) )).
% 7.52/7.73 cnf(matrix-28, plain, ( subset(difference(skolem4, skolem5), skolem6) )).
% 7.52/7.73 cnf(matrix-29, plain, ( subset(difference(skolem5, skolem4), skolem6) )).
% 7.52/7.73 cnf(matrix-30, plain, ( ~subset(symmetric_difference(skolem4, skolem5), skolem6) )).
% 7.52/7.73
% 7.52/7.73 % Proof stack:
% 7.52/7.73 cnf(proof-stack, plain,
% 7.52/7.73 proof_stack(
% 7.52/7.73 start(30),
% 7.52/7.73 left_branch(0, 9, 3, 2),
% 7.52/7.73 left_branch(0, 1, 1, 3),
% 7.52/7.73 left_branch(0, 11, 0, 4),
% 7.52/7.73 right_branch(4),
% 7.52/7.73 right_branch(3),
% 7.52/7.73 left_branch(0, 12, 2, 4),
% 7.52/7.73 left_branch(0, 28, 0, 5),
% 7.52/7.73 right_branch(5),
% 7.52/7.73 left_branch(0, 29, 0, 6),
% 7.52/7.73 right_branch(6),
% 7.52/7.73 right_branch(4),
% 7.52/7.73 left_branch(0, 0, 0, 5),
% 7.52/7.73 right_branch(5),
% 7.52/7.73 right_branch(2)
% 7.52/7.73 )).
% 7.52/7.73 % SZS output end Proof for theBenchmark
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