TSTP Solution File: SET633+3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET633+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 14:39:39 EDT 2023
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET633+3 : TPTP v8.1.2. Released v2.2.0.
% 0.11/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n018.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 09:33:29 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.w78kBXmG8T/cvc5---1.0.5_1270.p...
% 0.20/0.52 ------- get file name : TPTP file name is SET633+3
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1270.smt2...
% 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Theorem for SET633+3
% 0.20/0.52 % SZS output start Proof for SET633+3
% 0.20/0.52 (
% 0.20/0.52 (let ((_let_1 (not (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.subset (tptp.difference B C) D) (tptp.subset (tptp.difference C B) D)) (tptp.subset (tptp.symmetric_difference B C) D)))))) (let ((_let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.symmetric_difference C B))))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (=> (and (tptp.subset B C) (tptp.subset D C)) (tptp.subset (tptp.union B D) C))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.symmetric_difference B C) (tptp.union (tptp.difference B C) (tptp.difference C B)))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.subset B C)) (not (tptp.subset D C)) (tptp.subset (tptp.union B D) C))))) (let ((_let_6 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_8 (tptp.union _let_7 _let_6))) (let ((_let_9 (tptp.subset _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.subset _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.subset _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11 _let_9))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (not _let_14))) (let ((_let_17 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.symmetric_difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (= _let_17 _let_8))) (let ((_let_21 (tptp.subset _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_22 (not _let_9))) (let ((_let_23 (_let_2))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (_let_4))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (or _let_11 _let_13 _let_21))) (let ((_let_28 (not _let_21))) (let ((_let_29 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.subset (tptp.difference B C) D)) (not (tptp.subset (tptp.difference C B) D)) (tptp.subset (tptp.symmetric_difference B C) D))))) (let ((_let_30 (not _let_27))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (or))) (let ((_let_33 (not _let_29))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_31) :args (_let_33))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_29))) (REFL :args (_let_30)) :args _let_32)) _let_31 :args (_let_30 true _let_29)))) (let ((_let_35 (and _let_28 _let_20 _let_19))) (let ((_let_36 (ASSUME :args (_let_28)))) (let ((_let_37 (ASSUME :args (_let_19)))) (let ((_let_38 (ASSUME :args (_let_20)))) (let ((_let_39 (REFL :args (_let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subset (tptp.union B D) C) true))))) :args (_let_5))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_11 _let_13 _let_9 _let_16))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_10))) :args _let_32)) :args ((or _let_10 _let_27))) _let_34 :args (_let_10 true _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_32)) :args ((or _let_12 _let_27))) _let_34 :args (_let_12 true _let_27)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_35)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_36 _let_37 _let_38) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM _let_38) (SYMM _let_37)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args (APPLY_UF tptp.subset)) (FALSE_INTRO _let_36))) :args (_let_28 _let_19 _let_20))) :args (_let_28 _let_20 _let_19))) :args (true _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_21))) (REFL :args ((not _let_20))) (REFL :args ((not _let_19))) (REFL :args (_let_22)) :args _let_32)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 2)) _let_34 :args (_let_28 true _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.difference B C)))) :args _let_25)) _let_26 :args (_let_20 false _let_4)) (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_19 false _let_2)) :args (_let_22 true _let_21 false _let_20 false _let_19)) :args (_let_16 false _let_10 false _let_12 true _let_9)) _let_15 :args (false true _let_14 false _let_5)) :args (_let_4 _let_3 (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 $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))) _let_2 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) _let_1 true))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for SET633+3
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------