%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET928+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n007.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 0.18s 0.49s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SET928+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12  % Command    : do_cvc5 %s %d
% 0.12/0.33  % Computer : n007.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   : Sat Aug 26 13:17:56 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.18/0.49  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.aJTfRxwN7X/cvc5---1.0.5_31802.p...
% 0.18/0.49  ------- get file name : TPTP file name is SET928+1
% 0.18/0.49  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31802.smt2...
% 0.18/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.18/0.49  % SZS status Theorem for SET928+1
% 0.18/0.49  % SZS output start Proof for SET928+1
% 0.18/0.49  (
% 0.18/0.49  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= (tptp.set_difference A B) A))))) (let ((_let_2 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.unordered_pair A B))) (= (= (tptp.set_difference _let_1 C) _let_1) (and (not (tptp.in A C)) (not (tptp.in B C))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (not (tptp.in A B)) (not (tptp.in C B)) (not (tptp.disjoint (tptp.unordered_pair A C) B))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.disjoint (tptp.unordered_pair A B) C) (tptp.in A C)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.disjoint (tptp.unordered_pair A B) C)) (not (tptp.in A C)))))) (let ((_let_7 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (tptp.disjoint _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (not _let_10))) (let ((_let_12 (or _let_11 _let_8))) (let ((_let_13 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_14 (not _let_12))) (let ((_let_15 (= _let_9 (tptp.set_difference _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_16 (= _let_15 _let_10))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (= A (tptp.set_difference A B)))))) (let ((_let_18 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_19 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_18 :args (_let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.set_difference A B)))) :args (_let_17)))) _let_18 :args (_let_16 false _let_17)))) (let ((_let_20 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_21 (not _let_20))) (let ((_let_22 (and _let_8 _let_21))) (let ((_let_23 (= _let_22 _let_15))) (let ((_let_24 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.unordered_pair A B))) (= (and (not (tptp.in A C)) (not (tptp.in B C))) (= _let_1 (tptp.set_difference _let_1 C))))))) (let ((_let_25 (not _let_23))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (or))) (let ((_let_28 (not _let_24))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_26) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_27)) _let_26 :args (_let_25 true _let_24)))) (let ((_let_30 (not _let_22))) (let ((_let_31 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_32 (tptp.disjoint _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_21))) (let ((_let_35 (= _let_9 _let_31))) (let ((_let_36 (or _let_7 _let_20 _let_10))) (let ((_let_37 (_let_23))) (let ((_let_38 (REORDERING (CNF_EQUIV_NEG1 :args _let_37) :args ((or _let_22 _let_15 _let_23))))) (let ((_let_39 (not _let_16))) (let ((_let_40 (_let_16))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (tptp.in A B) (tptp.in C B) (tptp.disjoint (tptp.unordered_pair A C) B))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (REORDERING (CNF_EQUIV_POS1 :args _let_40) :args ((or (not _let_15) _let_10 _let_39))))) (let ((_let_44 (_let_22))) (let ((_let_45 (_let_6))) (let ((_let_46 ((not (= (tptp.disjoint (tptp.unordered_pair A B) C) false))))) (let ((_let_47 (_let_5))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (and _let_35 _let_10))) (let ((_let_50 (ASSUME :args (_let_10)))) (let ((_let_51 (ASSUME :args (_let_35)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_49)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_50 _let_51) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_51) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) :args (APPLY_UF tptp.disjoint)) (TRUE_INTRO _let_50))) :args (_let_10 _let_35))) :args (_let_35 _let_10))) :args (true _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.unordered_pair A B)))) :args _let_47)) _let_48 :args (_let_35 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_21 _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_45)) _let_13 :args (_let_34 false _let_6)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_44) (CONG (REFL :args _let_44) (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_27)) :args ((or _let_7 _let_20 _let_22))) _let_43 _let_19 (CNF_EQUIV_NEG2 :args _let_37) _let_29 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_7 _let_20 _let_10 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.disjoint (tptp.unordered_pair A C) B) true))))) :args (_let_41))) _let_42 :args (_let_36 false _let_41)) (REORDERING (CNF_AND_POS :args (_let_22 1)) :args ((or _let_21 _let_30))) (REORDERING (CNF_EQUIV_POS2 :args _let_40) :args ((or _let_15 _let_11 _let_39))) _let_19 _let_38 _let_29 :args ((or _let_7 _let_15) false _let_36 true _let_20 true _let_10 false _let_16 false _let_22 true _let_23)) :args (_let_7 false _let_35 true _let_32 false _let_34 false _let_20 false _let_10 false _let_16 true _let_22 true _let_23 false _let_15)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_13 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_45)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_8 _let_11 _let_14))) _let_52 (MACRO_RESOLUTION_TRUST _let_43 (MACRO_RESOLUTION_TRUST _let_38 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_22 0)) :args ((or _let_8 _let_30))) _let_52 :args (_let_30 false _let_7)) _let_29 :args (_let_15 true _let_22 true _let_23)) _let_19 :args (_let_10 false _let_15 false _let_16)) :args (_let_14 false _let_7 false _let_10)) _let_13 :args (false true _let_12 false _let_6)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) _let_5 (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_4 _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.18/0.49  )
% 0.18/0.49  % SZS output end Proof for SET928+1
% 0.18/0.49  % cvc5---1.0.5 exiting
% 0.18/0.50  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------