TSTP Solution File: SEV421_1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEV421_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 : Thu Aug 31 19:22:28 EDT 2023
% Result : Theorem 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEV421_1 : TPTP v8.1.2. Released v5.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 04:01:47 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_ARI
% 0.21/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.OODIKpKl0T/cvc5---1.0.5_17343.p...
% 0.21/0.52 ------- get file name : TPTP file name is SEV421_1
% 0.21/0.52 ------- cvc5-tfa : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17343.smt2...
% 0.21/0.52 --- Run --finite-model-find --decision=internal at 15...
% 0.21/0.52 % SZS status Theorem for SEV421_1
% 0.21/0.52 % SZS output start Proof for SEV421_1
% 0.21/0.52 (
% 0.21/0.52 (let ((_let_1 (not (forall ((X tptp.element) (C tptp.set) (Size Int)) (=> (and (not (tptp.member X C)) (= Size (tptp.cardinality C))) (= (= Size 0) (= C tptp.empty_set))))))) (let ((_let_2 (forall ((S tptp.set)) (= (= (tptp.cardinality S) 0) (= S tptp.empty_set))))) (let ((_let_3 (forall ((S tptp.set)) (= (= (tptp.cardinality S) 0) (= tptp.empty_set S))))) (let ((_let_4 (= (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (= (tptp.cardinality SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) 0)))) (let ((_let_5 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_6 (or (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_4))) (let ((_let_7 (forall ((X tptp.element) (C tptp.set)) (or (tptp.member X C) (= (= tptp.empty_set C) (= (tptp.cardinality C) 0)))))) (let ((_let_8 (not _let_6))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (not _let_7))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_5 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_3)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_6 1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_9) :args (_let_10))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_7))) (REFL :args (_let_8)) :args (or))) _let_9 :args (_let_8 true _let_7)) :args ((not _let_4) true _let_6)) _let_5 :args (false true _let_4 false _let_3)) :args ((forall ((S tptp.set)) (= (forall ((X tptp.element)) (not (tptp.member X S))) (= S tptp.empty_set))) (forall ((X tptp.element) (A tptp.element)) (= (tptp.member X (tptp.singleton A)) (= X A))) (forall ((A tptp.set) (B tptp.set)) (= (tptp.subset A B) (forall ((X tptp.element)) (=> (tptp.member X A) (tptp.member X B))))) (forall ((X tptp.element) (A tptp.set) (B tptp.set)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))) (forall ((X tptp.element) (A tptp.set) (B tptp.set)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))) (forall ((B tptp.element) (A tptp.set) (E tptp.set)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))) (forall ((X tptp.element) (S tptp.set)) (= (tptp.member X S) (not (tptp.member X (tptp.complement S))))) _let_2 (forall ((X tptp.element) (S tptp.set)) (let ((_let_1 (tptp.singleton X))) (= (= (tptp.intersection _let_1 S) _let_1) (= (tptp.cardinality (tptp.union _let_1 S)) (tptp.cardinality S))))) (forall ((X tptp.element) (S tptp.set)) (let ((_let_1 (tptp.singleton X))) (= (= (tptp.intersection _let_1 S) tptp.empty_set) (= (tptp.cardinality (tptp.union _let_1 S)) (+ (tptp.cardinality S) 1))))) (forall ((S tptp.set) (T tptp.set)) (let ((_let_1 (tptp.intersection S T))) (= (= (tptp.cardinality _let_1) 0) (= _let_1 tptp.empty_set)))) (forall ((A tptp.set) (B tptp.set)) (= (= (tptp.intersection A B) tptp.empty_set) (= (tptp.cardinality (tptp.union A B)) (+ (tptp.cardinality A) (tptp.cardinality B))))) _let_1 true)))))))))))))
% 0.21/0.52 )
% 0.21/0.52 % SZS output end Proof for SEV421_1
% 0.21/0.52 % cvc5---1.0.5 exiting
% 0.21/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------