%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET950+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 14:41:08 EDT 2023

% Result   : Theorem 11.22s 11.60s
% Output   : Proof 11.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET950+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sat Aug 26 10:38:37 EDT 2023
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 11.22/11.60  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HaCJvcl1Jm/cvc5---1.0.5_8434.p...
% 11.22/11.60  ------- get file name : TPTP file name is SET950+1
% 11.22/11.60  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8434.smt2...
% 11.22/11.60  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.22/11.60  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.22/11.60  % SZS status Theorem for SET950+1
% 11.22/11.60  % SZS output start Proof for SET950+1
% 11.22/11.60  (
% 11.22/11.60  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (not (and (tptp.subset A (tptp.cartesian_product2 B C)) (tptp.in D A) (forall ((E $$unsorted) (F $$unsorted)) (not (and (tptp.in E B) (tptp.in F C) (= D (tptp.ordered_pair E F))))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.cartesian_product2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (exists ((E $$unsorted) (F $$unsorted)) (and (tptp.in E A) (tptp.in F B) (= D (tptp.ordered_pair E F)))))))))) (let ((_let_4 (forall ((D $$unsorted)) (= (not (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.in F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (= D (tptp.ordered_pair E F)))))) (tptp.in D (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_5 (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.in F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (= (tptp.ordered_pair E F) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_6 (not _let_5))) (let ((_let_7 (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_8 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_7))) (let ((_let_9 (= _let_8 _let_6))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.cartesian_product2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (not (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E A)) (not (tptp.in F B)) (not (= D (tptp.ordered_pair E F)))))))))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (not _let_9))) (let ((_let_13 (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.in F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (= (tptp.ordered_pair E F) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_14))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.subset A (tptp.cartesian_product2 B C))) (not (tptp.in D A)) (not (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E B)) (not (tptp.in F C)) (not (= D (tptp.ordered_pair E F)))))))))) (let ((_let_21 (not _let_19))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (or))) (let ((_let_24 (not _let_20))) (let ((_let_25 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_22) :args (_let_24)) (REWRITE :args ((=> _let_24 (not (or _let_18 _let_16 (not (forall ((E $$unsorted) (F $$unsorted)) (or (not (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.in F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.ordered_pair E F))))))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_20))) (REFL :args (_let_21)) :args _let_23)) _let_22 :args (_let_21 true _let_20)))) (let ((_let_26 (REFL :args (_let_19)))) (let ((_let_27 (or _let_16 _let_8))) (let ((_let_28 (forall ((C $$unsorted)) (or (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.in C (tptp.cartesian_product2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))))) (let ((_let_29 (= _let_17 _let_28))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_28))) (let ((_let_33 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM))) (let ((_let_34 (_let_4))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args _let_33) :args _let_34))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_9)) :args ((or (not _let_8) _let_6 _let_12))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_16 _let_8 (not _let_27)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 1)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_23)) :args ((or _let_15 _let_19))) _let_25 :args (_let_15 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_32) :args _let_33) :args _let_32)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_29)) :args ((or _let_18 _let_28 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_23)) :args ((or _let_17 _let_19))) _let_25 :args (_let_17 true _let_19)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_7 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_30))) _let_31 :args (_let_29 false _let_30)) :args (_let_28 false _let_17 false _let_29)) :args (_let_27 false _let_28)) :args (_let_8 false _let_15 false _let_27)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_13 (= E E) (= F F)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 2)) (CONG _let_26 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_23)) :args ((or _let_13 _let_19))) _let_25 :args (_let_13 true _let_19)) :args (_let_5 false _let_13)) :args (_let_12 false _let_8 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_11 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_7 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_10)))) _let_11 :args (_let_4 false _let_10)) :args (false true _let_9 false _let_4)) :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))) _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.ordered_pair A B) (tptp.unordered_pair (tptp.unordered_pair A B) (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.empty (tptp.ordered_pair A B)))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_1 true)))))))))))))))))))))))))))))))))))))
% 11.22/11.60  )
% 11.22/11.60  % SZS output end Proof for SET950+1
% 11.22/11.60  % cvc5---1.0.5 exiting
% 11.22/11.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------