TSTP Solution File: SET602+3 by ConnectPP---0.2.2
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% File : ConnectPP---0.2.2
% Problem : SET602+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 : n017.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 09:19:25 EST 2024
% Result : Theorem 0.12s 0.34s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET602+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n017.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 18:22:43 EST 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start Proof for theBenchmark
% 0.12/0.34
% 0.12/0.34 % Formula: difference_empty_set ( axiom ) converted to clauses:
% 0.12/0.34 cnf(difference_empty_set-1, axiom, ( ( difference(_u4, _u2) != empty_set) | subset(_u4, _u2) )).
% 0.12/0.34 cnf(difference_empty_set-2, axiom, ( ~subset(_u5, _u3) | ( difference(_u5, _u3) = empty_set) )).
% 0.12/0.34
% 0.12/0.34 % Formula: empty_set_defn ( axiom ) converted to clauses:
% 0.12/0.34 cnf(empty_set_defn-1, axiom, ( ~member(_u6, empty_set) )).
% 0.12/0.34
% 0.12/0.34 % Formula: difference_defn ( axiom ) converted to clauses:
% 0.12/0.34 cnf(difference_defn-1, axiom, ( ~member(_u10, difference(_u14, _u12)) | member(_u10, _u14) )).
% 0.12/0.34 cnf(difference_defn-2, axiom, ( ~member(_u10, difference(_u14, _u12)) | ~member(_u10, _u12) )).
% 0.12/0.34 cnf(difference_defn-3, axiom, ( ~member(_u11, _u15) | member(_u11, _u13) | member(_u11, difference(_u15, _u13)) )).
% 0.12/0.34
% 0.12/0.34 % Formula: equal_defn ( axiom ) converted to clauses:
% 0.12/0.34 cnf(equal_defn-1, axiom, ( ( _u20 != _u18) | subset(_u20, _u18) )).
% 0.12/0.34 cnf(equal_defn-2, axiom, ( ( _u20 != _u18) | subset(_u18, _u20) )).
% 0.12/0.34 cnf(equal_defn-3, axiom, ( ~subset(_u21, _u19) | ~subset(_u19, _u21) | ( _u21 = _u19) )).
% 0.12/0.34
% 0.12/0.34 % Formula: subset_defn ( axiom ) converted to clauses:
% 0.12/0.34 cnf(subset_defn-1, axiom, ( ~subset(_u28, _u26) | ~member(_u22, _u28) | member(_u22, _u26) )).
% 0.12/0.34 cnf(subset_defn-2, axiom, ( subset(_u29, _u27) | member(skolem1(_u29, _u27), _u29) )).
% 0.12/0.34 cnf(subset_defn-3, axiom, ( subset(_u29, _u27) | ~member(skolem1(_u29, _u27), _u27) )).
% 0.12/0.34
% 0.12/0.34 % Formula: reflexivity_of_subset ( axiom ) converted to clauses:
% 0.12/0.34 cnf(reflexivity_of_subset-1, axiom, ( subset(_u30, _u30) )).
% 0.12/0.34
% 0.12/0.34 % Formula: empty_defn ( axiom ) converted to clauses:
% 0.12/0.34 cnf(empty_defn-1, axiom, ( ~empty(_u34) | ~member(_u31, _u34) )).
% 0.12/0.34 cnf(empty_defn-2, axiom, ( member(skolem2(_u35), _u35) | empty(_u35) )).
% 0.12/0.34
% 0.12/0.34 % Formula: prove_self_difference_is_empty_set ( conjecture ) converted to clauses:
% 0.12/0.34 cnf(prove_self_difference_is_empty_set-1, negated_conjecture, ( ( difference(skolem3, skolem3) != empty_set) )).
% 0.12/0.34
% 0.12/0.34 % Problem matrix:
% 0.12/0.34 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 0.12/0.34 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 0.12/0.34 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 0.12/0.34 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( difference(__eqx_0, __eqx_1) = difference(__eqy_0, __eqy_1)) )).
% 0.12/0.34 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 0.12/0.34 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( skolem2(__eqx_0) = skolem2(__eqy_0)) )).
% 0.12/0.34 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~subset(__eqx_0, __eqx_1) | subset(__eqy_0, __eqy_1) )).
% 0.12/0.34 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~member(__eqx_0, __eqx_1) | member(__eqy_0, __eqy_1) )).
% 0.12/0.34 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ~empty(__eqx_0) | empty(__eqy_0) )).
% 0.12/0.34 cnf(matrix-9, plain, ( ( difference(_u4, _u2) != empty_set) | subset(_u4, _u2) )).
% 0.12/0.34 cnf(matrix-10, plain, ( ~subset(_u5, _u3) | ( difference(_u5, _u3) = empty_set) )).
% 0.12/0.34 cnf(matrix-11, plain, ( ~member(_u6, empty_set) )).
% 0.12/0.34 cnf(matrix-12, plain, ( ~member(_u10, difference(_u14, _u12)) | member(_u10, _u14) )).
% 0.12/0.34 cnf(matrix-13, plain, ( ~member(_u10, difference(_u14, _u12)) | ~member(_u10, _u12) )).
% 0.12/0.34 cnf(matrix-14, plain, ( ~member(_u11, _u15) | member(_u11, _u13) | member(_u11, difference(_u15, _u13)) )).
% 0.12/0.34 cnf(matrix-15, plain, ( ( _u20 != _u18) | subset(_u20, _u18) )).
% 0.12/0.34 cnf(matrix-16, plain, ( ( _u20 != _u18) | subset(_u18, _u20) )).
% 0.12/0.34 cnf(matrix-17, plain, ( ~subset(_u21, _u19) | ~subset(_u19, _u21) | ( _u21 = _u19) )).
% 0.12/0.34 cnf(matrix-18, plain, ( ~subset(_u28, _u26) | ~member(_u22, _u28) | member(_u22, _u26) )).
% 0.12/0.34 cnf(matrix-19, plain, ( subset(_u29, _u27) | member(skolem1(_u29, _u27), _u29) )).
% 0.12/0.34 cnf(matrix-20, plain, ( subset(_u29, _u27) | ~member(skolem1(_u29, _u27), _u27) )).
% 0.12/0.34 cnf(matrix-21, plain, ( subset(_u30, _u30) )).
% 0.12/0.34 cnf(matrix-22, plain, ( ~empty(_u34) | ~member(_u31, _u34) )).
% 0.12/0.34 cnf(matrix-23, plain, ( member(skolem2(_u35), _u35) | empty(_u35) )).
% 0.12/0.34 cnf(matrix-24, plain, ( ( difference(skolem3, skolem3) != empty_set) )).
% 0.12/0.34
% 0.12/0.34 % Proof stack:
% 0.12/0.34 cnf(proof-stack, plain,
% 0.12/0.34 proof_stack(
% 0.12/0.34 start(24),
% 0.12/0.34 left_branch(0, 10, 1, 2),
% 0.12/0.34 left_branch(0, 21, 0, 3),
% 0.12/0.34 right_branch(3),
% 0.12/0.34 right_branch(2)
% 0.12/0.34 )).
% 0.12/0.34 % SZS output end Proof for theBenchmark
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