TSTP Solution File: SET917+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 14:40:59 EDT 2023
% Result : Theorem 0.19s 0.51s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET917+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.17/0.34 % Computer : n025.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Sat Aug 26 12:25:38 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.VlnlE92ypA/cvc5---1.0.5_30606.p...
% 0.19/0.51 ------- get file name : TPTP file name is SET917+1
% 0.19/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30606.smt2...
% 0.19/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.51 % SZS status Theorem for SET917+1
% 0.19/0.51 % SZS output start Proof for SET917+1
% 0.19/0.51 (
% 0.19/0.51 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (or (tptp.disjoint _let_1 B) (= (tptp.set_intersection2 _let_1 B) _let_1))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (=> (tptp.in A B) (= (tptp.set_intersection2 B _let_1) _let_1)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.in A B)) (tptp.disjoint (tptp.singleton A) B))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (or (not (tptp.in A B)) (= _let_1 (tptp.set_intersection2 B _let_1))))))) (let ((_let_6 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6))) (let ((_let_8 (= _let_6 _let_7))) (let ((_let_9 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (not _let_11))) (let ((_let_14 (tptp.set_intersection2 _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (= _let_14 _let_7))) (let ((_let_16 (= _let_6 _let_14))) (let ((_let_17 (not _let_8))) (let ((_let_18 (_let_4))) (let ((_let_19 (ASSUME :args _let_18))) (let ((_let_20 (tptp.disjoint _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_21 (or _let_20 _let_16))) (let ((_let_22 (not _let_16))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.singleton A))) (or (tptp.disjoint _let_1 B) (= _let_1 (tptp.set_intersection2 _let_1 B))))))) (let ((_let_24 (not _let_21))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (or))) (let ((_let_27 (not _let_23))) (let ((_let_28 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_25) :args (_let_27))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_23))) (REFL :args (_let_24)) :args _let_26)) _let_25 :args (_let_24 true _let_23)))) (let ((_let_29 (and _let_22 _let_15))) (let ((_let_30 (_let_22 _let_15))) (let ((_let_31 (ASSUME :args (_let_22)))) (let ((_let_32 (ASSUME :args (_let_15)))) (let ((_let_33 (or _let_9 _let_20))) (let ((_let_34 (forall ((A $$unsorted) (B $$unsorted)) (or (tptp.in A B) (tptp.disjoint (tptp.singleton A) B))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) false))))) :args (_let_5))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_10 _let_8 _let_13))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_20 _let_9 (not _let_33)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 0)) _let_28 :args ((not _let_20) true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.disjoint (tptp.singleton A) B) true))))) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_9 true _let_20 false _let_33)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_29)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_31 _let_32) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_6)) (SYMM _let_32) :args (=)) (FALSE_INTRO _let_31))) :args _let_30)) :args _let_30)) :args (true _let_29)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_16))) (REFL :args ((not _let_15))) (REFL :args (_let_17)) :args _let_26)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 1)) _let_28 :args (_let_22 true _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (_let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_intersection2 A B)))) :args _let_18)) _let_19 :args (_let_15 false _let_4)) :args (_let_17 true _let_16 false _let_15)) :args (_let_13 false _let_9 true _let_8)) _let_12 :args (false true _let_11 false _let_5)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) _let_3 _let_2 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.disjoint A B) (tptp.disjoint B A))) _let_1 true))))))))))))))))))))))))))))))))))))))
% 0.19/0.51 )
% 0.19/0.51 % SZS output end Proof for SET917+1
% 0.19/0.51 % cvc5---1.0.5 exiting
% 0.19/0.51 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------