TSTP Solution File: SET620+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET620+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 14:39:32 EDT 2023
% Result : Theorem 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET620+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 15:56:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.0vQOJj3KDU/cvc5---1.0.5_24129.p...
% 0.20/0.51 ------- get file name : TPTP file name is SET620+3
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24129.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.51 % SZS status Theorem for SET620+3
% 0.20/0.51 % SZS output start Proof for SET620+3
% 0.20/0.51 (
% 0.20/0.51 (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.difference (tptp.union B C) (tptp.intersection B C)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.difference (tptp.union B C) D) (tptp.union (tptp.difference B D) (tptp.difference C D)))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.difference B (tptp.intersection B C)) (tptp.difference B C))))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.union (tptp.difference B C) (tptp.difference C B)))))) (let ((_let_7 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (tptp.difference (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_7))) (let ((_let_9 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_10 (= _let_9 _let_8))) (let ((_let_11 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_12 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_13 (= _let_9 (tptp.union _let_12 _let_11)))) (let ((_let_14 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_15 (= _let_12 _let_14))) (let ((_let_16 (= _let_8 (tptp.union _let_14 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_7))))) (let ((_let_17 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (= _let_7 _let_17))) (let ((_let_19 (= _let_11 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17)))) (let ((_let_20 (not _let_10))) (let ((_let_21 (_let_2))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (_let_6))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (_let_5))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 ((tptp.intersection B C)))) (let ((_let_28 (_let_4))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (_let_3))) (let ((_let_31 (ASSUME :args _let_30))) (let ((_let_32 (and _let_13 _let_15 _let_16 _let_18 _let_19))) (let ((_let_33 (ASSUME :args (_let_16)))) (let ((_let_34 (ASSUME :args (_let_18)))) (let ((_let_35 (ASSUME :args (_let_19)))) (let ((_let_36 (ASSUME :args (_let_15)))) (let ((_let_37 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_32)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_33 _let_36 _let_34 _let_35 _let_37) (SCOPE (TRANS (SYMM (SYMM _let_37)) (CONG (SYMM (SYMM _let_36)) (TRANS (SYMM (SYMM _let_35)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (SYMM _let_34) :args (APPLY_UF tptp.difference))) :args (APPLY_UF tptp.union)) (SYMM _let_33)) :args (_let_16 _let_15 _let_18 _let_19 _let_13))) :args (_let_13 _let_15 _let_16 _let_18 _let_19))) :args (true _let_32)) :args ((or _let_10 (not _let_13) (not _let_15) (not _let_16) (not _let_18) (not _let_19)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_25))) _let_26 :args (_let_19 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_30)) _let_31 :args (_let_18 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_7 QUANTIFIERS_INST_E_MATCHING ((tptp.difference (tptp.union B C) D)))) :args _let_28)) _let_29 :args (_let_16 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_27)) :args _let_25))) _let_26 :args (_let_15 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.symmetric_difference B C)))) :args _let_23)) _let_24 :args (_let_13 false _let_6)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_22) :args _let_21)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_20)) :args (or))) _let_22 :args (_let_20 true _let_1)) :args (false false _let_19 false _let_18 false _let_16 false _let_15 false _let_13 true _let_10)) :args (_let_6 _let_5 _let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.intersection B C)) (and (tptp.member D B) (tptp.member D C)))) (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))) _let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.symmetric_difference C B))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) _let_2 true))))))))))))))))))))))))))))))))))))))))
% 0.20/0.51 )
% 0.20/0.51 % SZS output end Proof for SET620+3
% 0.20/0.52 % cvc5---1.0.5 exiting
% 0.20/0.52 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------