TSTP Solution File: SET929+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET929+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 14:41:04 EDT 2023
% Result : Theorem 0.21s 0.53s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET929+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.13/0.36 % Computer : n022.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sat Aug 26 09:19:55 EDT 2023
% 0.13/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ZvbXXfvsss/cvc5---1.0.5_31262.p...
% 0.21/0.53 ------- get file name : TPTP file name is SET929+1
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31262.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53 % SZS status Theorem for SET929+1
% 0.21/0.53 % SZS output start Proof for SET929+1
% 0.21/0.53 (
% 0.21/0.53 (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= (tptp.set_difference (tptp.unordered_pair A B) C) tptp.empty_set) (and (tptp.in A C) (tptp.in B C))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.subset (tptp.unordered_pair A B) C) (and (tptp.in A C) (tptp.in B C)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (= (tptp.set_difference A B) tptp.empty_set) (tptp.subset A B))))) (let ((_let_4 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_5 (tptp.subset _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_6 (= tptp.empty_set (tptp.set_difference _let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_7 (= _let_6 _let_5))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (= tptp.empty_set (tptp.set_difference A B)))))) (let ((_let_9 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_10 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_9 :args (_let_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_difference A B)))) :args (_let_8)))) _let_9 :args (_let_7 false _let_8)))) (let ((_let_11 (and (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_12 (= _let_11 _let_6))) (let ((_let_13 (not _let_6))) (let ((_let_14 (= _let_11 _let_5))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (and (tptp.in A C) (tptp.in B C)) (= tptp.empty_set (tptp.set_difference (tptp.unordered_pair A B) C)))))) (let ((_let_16 (not _let_12))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (not _let_15))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_17) :args (_let_18))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_15))) (REFL :args (_let_16)) :args (or))) _let_17 :args (_let_16 true _let_15)))) (let ((_let_20 (_let_12))) (let ((_let_21 (_let_2))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.subset (tptp.unordered_pair A B) C)))) :args _let_21))) _let_22 :args (_let_14 false _let_2)))) (let ((_let_24 (not _let_14))) (let ((_let_25 (not _let_5))) (let ((_let_26 (_let_14))) (let ((_let_27 (not _let_7))) (let ((_let_28 (_let_7))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_28) :args ((or _let_13 _let_5 _let_27))) _let_10 (REORDERING (CNF_EQUIV_POS2 :args _let_26) :args ((or _let_11 _let_25 _let_24))) _let_23 (REORDERING (CNF_EQUIV_NEG1 :args _let_20) :args ((or _let_11 _let_6 _let_12))) _let_19 :args (_let_11 false _let_7 true _let_5 false _let_14 false _let_6 true _let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_28) :args ((or _let_6 _let_25 _let_27))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_26) :args ((or (not _let_11) _let_5 _let_24))) _let_29 _let_23 :args (_let_5 false _let_11 false _let_14)) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_20) _let_19 _let_29 :args (_let_13 true _let_12 false _let_11)) _let_10 :args (false false _let_5 true _let_6 false _let_7)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) (tptp.empty tptp.empty_set) (exists ((A $$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))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SET929+1
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------