TSTP Solution File: SET886+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% 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 : Thu Aug 31 14:40:53 EDT 2023
% Result : Theorem 0.22s 0.53s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET886+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n002.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 16:29:03 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.sG4XrMpPlN/cvc5---1.0.5_29124.p...
% 0.22/0.53 ------- get file name : TPTP file name is SET886+1
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29124.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.53 % SZS status Theorem for SET886+1
% 0.22/0.53 % SZS output start Proof for SET886+1
% 0.22/0.53 (
% 0.22/0.53 (let ((_let_1 (forall ((A $$unsorted)) (= (tptp.unordered_pair A A) (tptp.singleton A))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.singleton C))) (let ((_let_2 (tptp.unordered_pair A B))) (=> (tptp.subset _let_2 _let_1) (= _let_2 _let_1)))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.subset (tptp.unordered_pair A B) (tptp.singleton C)) (= A C))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))))) (let ((_let_5 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (= _let_5 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_9 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_10 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (tptp.subset _let_6 _let_5))) (let ((_let_12 (not _let_11))) (let ((_let_13 (or _let_12 _let_7))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.unordered_pair A B))) (let ((_let_2 (tptp.singleton C))) (or (not (tptp.subset _let_1 _let_2)) (= _let_2 _let_1))))))) (let ((_let_15 (not _let_13))) (let ((_let_16 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (or))) (let ((_let_18 (not _let_14))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_16) :args (_let_18)) (REWRITE :args ((=> _let_18 (not (or _let_12 (= _let_5 _let_6)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_14))) (REFL :args (_let_15)) :args _let_17)) _let_16 :args (_let_15 true _let_14)))) (let ((_let_20 (_let_1))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (or _let_12 _let_9))) (let ((_let_23 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset (tptp.unordered_pair A B) (tptp.singleton C))) (= A C))))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (_let_23))) (let ((_let_26 ((not (= (tptp.subset (tptp.unordered_pair A B) (tptp.singleton C)) false))))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_13 0)) (CONG (REFL :args (_let_13)) (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_17)) :args ((or _let_11 _let_13))) _let_19 :args (_let_11 true _let_13)))) (let ((_let_28 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_29 (tptp.subset _let_28 _let_5))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_10))) (let ((_let_32 (= _let_6 _let_28))) (let ((_let_33 (_let_4))) (let ((_let_34 (ASSUME :args _let_33))) (let ((_let_35 (and _let_11 _let_32))) (let ((_let_36 (_let_11 _let_32))) (let ((_let_37 (ASSUME :args (_let_11)))) (let ((_let_38 (ASSUME :args (_let_32)))) (let ((_let_39 (and _let_9 _let_8 _let_10))) (let ((_let_40 (ASSUME :args (_let_8)))) (let ((_let_41 (ASSUME :args (_let_10)))) (let ((_let_42 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_39)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_40 _let_42 _let_41) (SCOPE (TRANS (CONG (SYMM (SYMM _let_42)) (SYMM (SYMM _let_41)) :args (APPLY_UF tptp.unordered_pair)) (SYMM _let_40)) :args (_let_8 _let_9 _let_10))) :args (_let_9 _let_8 _let_10))) :args (true _let_39)) :args ((or _let_7 (not _let_9) (not _let_8) (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_10 (not _let_31)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_35)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_37 _let_38) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_38) (REFL :args (_let_5)) :args (APPLY_UF tptp.subset)) (TRUE_INTRO _let_37))) :args _let_36)) :args _let_36)) :args (true _let_35)) _let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.unordered_pair A B)))) :args _let_33)) _let_34 :args (_let_32 false _let_4)) :args (_let_29 false _let_11 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_25)) _let_24 :args (_let_31 false _let_23)) :args (_let_10 false _let_29 false _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_22)) :args ((or _let_12 _let_9 (not _let_22)))) _let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_25)) _let_24 :args (_let_22 false _let_23)) :args (_let_9 false _let_11 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.singleton A)))) :args _let_20))) _let_21 :args (_let_8 false _let_1)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_13 1)) _let_19 :args ((not _let_7) true _let_13)) :args (false false _let_10 false _let_9 false _let_8 true _let_7)) :args (_let_4 (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.54 )
% 0.22/0.54 % SZS output end Proof for SET886+1
% 0.22/0.54 % cvc5---1.0.5 exiting
% 0.22/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------