%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET918+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 10.43s 10.67s
% Output   : Proof 10.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SET918+1 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n005.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 14:17:08 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 10.43/10.67  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.agUsy8fQzN/cvc5---1.0.5_13027.p...
% 10.43/10.67  ------- get file name : TPTP file name is SET918+1
% 10.43/10.67  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13027.smt2...
% 10.43/10.67  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.43/10.67  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.43/10.67  % SZS status Theorem for SET918+1
% 10.43/10.67  % SZS output start Proof for SET918+1
% 10.43/10.67  (
% 10.43/10.67  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (= (tptp.set_intersection2 (tptp.unordered_pair A B) C) (tptp.singleton A)) (tptp.in B C) (not (= A B)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.set_intersection2 A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (and (tptp.in D A) (tptp.in D B)))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= D A) (= D B)))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A B) (tptp.set_intersection2 B A))))) (let ((_let_6 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (tptp.set_intersection2 _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_9 (= _let_8 _let_6))) (let ((_let_10 (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_7))) (let ((_let_11 (= _let_8 _let_10))) (let ((_let_12 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_10))) (let ((_let_13 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_6))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_16 (not _let_15))) (let ((_let_17 (not _let_9))) (let ((_let_18 (or _let_17 _let_16 _let_14))) (let ((_let_19 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (= (tptp.set_intersection2 (tptp.unordered_pair A B) C) (tptp.singleton A))) (not (tptp.in B C)) (= A B))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (or))) (let ((_let_23 (not _let_19))) (let ((_let_24 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_21) :args (_let_23))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_19))) (REFL :args (_let_20)) :args _let_22)) _let_21 :args (_let_20 true _let_19)))) (let ((_let_25 (REFL :args (_let_18)))) (let ((_let_26 (_let_5))) (let ((_let_27 (ASSUME :args _let_26))) (let ((_let_28 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7))) (let ((_let_29 (and _let_15 _let_28))) (let ((_let_30 (= _let_12 _let_29))) (let ((_let_31 (forall ((D $$unsorted)) (let ((_let_1 (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (= (tptp.in D (tptp.set_intersection2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_1)) (and (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.in D _let_1))))))) (let ((_let_32 (_let_2))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (_let_31))) (let ((_let_35 (forall ((D $$unsorted)) (= (or (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (= D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.in D (tptp.unordered_pair SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (= C (tptp.unordered_pair A B)) (forall ((D $$unsorted)) (= (tptp.in D C) (or (= A D) (= B D)))))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_35))) (let ((_let_39 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_40 (= _let_14 _let_13))) (let ((_let_41 (not _let_13))) (let ((_let_42 (forall ((C $$unsorted)) (= (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_43 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_42))) (let ((_let_46 (ASSUME :args (_let_41)))) (let ((_let_47 (APPLY_UF tptp.in))) (let ((_let_48 (ASSUME :args (_let_9)))) (let ((_let_49 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_50 (ASSUME :args (_let_11)))) (let ((_let_51 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_46 _let_48 _let_50 _let_51) :args (_let_9 _let_11 _let_12 _let_41)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_51)) (CONG _let_49 (SYMM _let_50) :args _let_47) (CONG _let_49 (SYMM (SYMM _let_48)) :args _let_47) (FALSE_INTRO _let_46))) :args (_let_41 _let_9 _let_11 _let_12)) :args ((not (and _let_9 _let_11 _let_12 _let_41)) SB_LITERAL))) (CONG (REFL :args (_let_17)) (REFL :args ((not _let_11))) (REFL :args ((not _let_12))) (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_13))) :args _let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_40)) :args ((or _let_14 _let_41 (not _let_40)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_18 2)) _let_24 :args ((not _let_14) true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_45) :args _let_39) :args _let_45))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_44 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_43)))) _let_44 :args (_let_42 false _let_43)) :args (_let_40 false _let_42)) :args (_let_41 true _let_14 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_30)) :args ((or _let_12 (not _let_29) (not _let_30)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_29)) :args ((or _let_16 _let_29 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 1)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_22)) :args ((or _let_15 _let_18))) _let_24 :args (_let_15 true _let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_38) :args _let_39) :args _let_38))) :args ((or _let_28 (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_37 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_36)))) _let_37 :args (_let_35 false _let_36)) :args (_let_28 false _let_35)) :args (_let_29 false _let_15 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_34) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM)) :args _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_7 _let_10 QUANTIFIERS_INST_CBQI_PROP)) :args _let_32))) _let_33 :args (_let_31 false _let_2)) :args (_let_30 false _let_31)) :args (_let_12 false _let_29 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_27 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_7 QUANTIFIERS_INST_ENUM)) :args _let_26))) _let_27 :args (_let_11 false _let_5)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG _let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_9))) :args _let_22)) :args ((or _let_9 _let_18))) _let_24 :args (_let_9 true _let_18)) :args (false true _let_13 false _let_12 false _let_11 false _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.unordered_pair A B) (tptp.unordered_pair B A))) _let_5 _let_4 _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_intersection2 A A) A)) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.43/10.68  )
% 10.43/10.68  % SZS output end Proof for SET918+1
% 10.43/10.68  % cvc5---1.0.5 exiting
% 10.43/10.68  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------