TSTP Solution File: SWV237+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWV237+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 21:49:50 EDT 2023
% Result : Theorem 3.59s 3.80s
% Output : Proof 3.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWV237+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 09:39:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 3.59/3.80 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GU5Vz9Z9Eo/cvc5---1.0.5_21998.p...
% 3.59/3.80 ------- get file name : TPTP file name is SWV237+1
% 3.59/3.80 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21998.smt2...
% 3.59/3.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 3.59/3.80 % SZS status Theorem for SWV237+1
% 3.59/3.80 % SZS output start Proof for SWV237+1
% 3.59/3.80 (
% 3.59/3.80 (let ((_let_1 (tptp.p (tptp.enc tptp.pp tptp.a)))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.p tptp.a))) (let ((_let_4 (tptp.enc tptp.tmk tptp.pp))) (let ((_let_5 (tptp.p _let_4))) (let ((_let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc tptp.tc U)))))) (let ((_let_7 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc (tptp.enc (tptp.i tptp.tmk) V) (tptp.enc (tptp.i tptp.tc) U))))))) (let ((_let_8 (forall ((U $$unsorted)) (= (tptp.i (tptp.i U)) U)))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted)) (= (tptp.enc U (tptp.enc (tptp.i U) V)) V)))) (let ((_let_10 (tptp.i tptp.tmk))) (let ((_let_11 (tptp.i _let_10))) (let ((_let_12 (tptp.enc _let_11 tptp.pp))) (let ((_let_13 (tptp.p _let_12))) (let ((_let_14 (tptp.i tptp.tc))) (let ((_let_15 (tptp.i _let_14))) (let ((_let_16 (tptp.enc _let_15 tptp.a))) (let ((_let_17 (tptp.enc _let_14 _let_16))) (let ((_let_18 (tptp.enc _let_10 _let_12))) (let ((_let_19 (tptp.p (tptp.enc _let_18 _let_17)))) (let ((_let_20 (not _let_13))) (let ((_let_21 (tptp.p _let_16))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_19))) (let ((_let_24 (= tptp.tmk _let_11))) (let ((_let_25 (forall ((U $$unsorted)) (= U (tptp.i (tptp.i U)))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 (ASSUME :args (_let_5)))) (let ((_let_29 (and _let_5 _let_24))) (let ((_let_30 (_let_5 _let_24))) (let ((_let_31 (APPLY_UF tptp.p))) (let ((_let_32 (APPLY_UF tptp.enc))) (let ((_let_33 (ASSUME :args (_let_24)))) (let ((_let_34 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.p U)) (not (tptp.p V)) (tptp.p (tptp.enc (tptp.enc (tptp.i tptp.tmk) V) (tptp.enc (tptp.i tptp.tc) U))))))) (let ((_let_35 (forall ((W $$unsorted)) (not (tptp.p W))))) (let ((_let_36 (forall ((W $$unsorted)) (not (tptp.p W))))) (let ((_let_37 (_let_36))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_37) :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.p W) false))))) :args _let_37)) _let_28 :args ((not _let_36) false _let_5)))) (let ((_let_39 (_let_34))) (let ((_let_40 (= tptp.a _let_17))) (let ((_let_41 (= tptp.pp _let_18))) (let ((_let_42 (not _let_19))) (let ((_let_43 (forall ((U $$unsorted) (V $$unsorted)) (= V (tptp.enc U (tptp.enc (tptp.i U) V)))))) (let ((_let_44 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_45 (_let_43))) (let ((_let_46 ((tptp.enc (tptp.i U) V)))) (let ((_let_47 (ASSUME :args (_let_2)))) (let ((_let_48 (and _let_2 _let_41 _let_40))) (let ((_let_49 (_let_2 _let_41 _let_40))) (let ((_let_50 (ASSUME :args (_let_40)))) (let ((_let_51 (ASSUME :args (_let_41)))) (let ((_let_52 (tptp.p (tptp.enc tptp.tc tptp.a)))) (let ((_let_53 (= tptp.tc _let_15))) (let ((_let_54 (not _let_3))) (let ((_let_55 (or _let_54 _let_52))) (let ((_let_56 (forall ((U $$unsorted)) (or (not (tptp.p U)) (tptp.p (tptp.enc tptp.tc U)))))) (let ((_let_57 (forall ((W $$unsorted)) (not (tptp.p W))))) (let ((_let_58 (forall ((V $$unsorted)) (not (tptp.p V))))) (let ((_let_59 (_let_56))) (let ((_let_60 (and _let_53 _let_52))) (let ((_let_61 (ASSUME :args (_let_52)))) (let ((_let_62 (ASSUME :args (_let_53)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_20 _let_22 _let_19 (not _let_23)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_60)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_62) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG (SYMM _let_62) (REFL :args (tptp.a)) :args _let_32) :args _let_31) (TRUE_INTRO _let_61))) :args (_let_52 _let_53))) :args (_let_53 _let_52))) :args (true _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.tc QUANTIFIERS_INST_E_MATCHING ((tptp.i (tptp.i U))))) :args _let_27)) _let_26 :args (_let_53 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_52 (not _let_55)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (tptp.a QUANTIFIERS_INST_ENUM)) :args _let_59)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_36 (= W V)))) _let_38 :args ((not _let_58) true _let_36)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_36 (= W W)))) _let_38 :args ((not _let_57) true _let_36)) :args (_let_56 true _let_58 true _let_57)) :args (_let_55 false _let_56)) :args (_let_52 false _let_3 false _let_55)) :args (_let_21 false _let_53 false _let_52)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_48)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_47 _let_51 _let_50) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (SYMM _let_51) (SYMM _let_50) :args _let_32) :args _let_31) (FALSE_INTRO _let_47))) :args _let_49)) :args _let_49)) :args (true _let_48)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_41))) (REFL :args ((not _let_40))) (REFL :args (_let_42)) :args (or))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_10 tptp.pp QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_45)) _let_44 :args (_let_41 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_14 tptp.a QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_45)) _let_44 :args (_let_40 false _let_43)) :args (_let_42 true _let_1 false _let_41 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_39) :args (_let_16 _let_12 QUANTIFIERS_INST_E_MATCHING ((tptp.enc (tptp.enc _let_10 V) (tptp.enc _let_14 U))))) :args _let_39)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_36 (= W W)))) _let_38 :args ((not _let_35) true _let_36)) :args (_let_34 true _let_35)) :args (_let_23 false _let_34)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_29)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_28 _let_33) (SCOPE (TRUE_ELIM (TRANS (CONG (CONG (SYMM _let_33) (REFL :args (tptp.pp)) :args _let_32) :args _let_31) (TRUE_INTRO _let_28))) :args _let_30)) :args _let_30)) :args (true _let_29)) _let_28 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.tmk QUANTIFIERS_INST_ENUM)) :args _let_27)) _let_26 :args (_let_24 false _let_25)) :args (_let_13 false _let_5 false _let_24)) :args (false false _let_21 true _let_19 false _let_23 false _let_13)) :args ((forall ((U $$unsorted) (V $$unsorted)) (= (tptp.enc (tptp.i U) (tptp.enc U V)) V)) _let_9 _let_8 (forall ((U $$unsorted)) (=> (tptp.p U) (tptp.p (tptp.i U)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc tptp.tmk (tptp.enc (tptp.i (tptp.enc (tptp.i tptp.zcmk) V)) U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc (tptp.i (tptp.enc (tptp.i tptp.zcmk) V)) (tptp.enc (tptp.i tptp.tmk) U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc tptp.wk (tptp.enc (tptp.i tptp.tmk) U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.i tptp.tmk))) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc (tptp.enc _let_1 V) (tptp.enc _let_1 U)))))) _let_7 _let_6 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc (tptp.enc (tptp.i tptp.tc) U) V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc (tptp.i (tptp.enc (tptp.i tptp.tc) U)) V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc (tptp.enc (tptp.i tptp.wk) W) (tptp.enc (tptp.i (tptp.enc (tptp.i tptp.tmk) V)) U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.i tptp.wk))) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc (tptp.enc _let_1 W) (tptp.enc (tptp.i (tptp.enc _let_1 V)) U)))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc (tptp.enc (tptp.i tptp.wk) V) (tptp.enc (tptp.i tptp.lp) U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (=> (and (tptp.p U) (tptp.p V) (tptp.p W)) (tptp.p (tptp.enc U V)))) _let_5 (tptp.p (tptp.enc tptp.wk tptp.w)) (tptp.p (tptp.enc tptp.w tptp.t1)) (tptp.p (tptp.enc tptp.lp tptp.t2)) (tptp.p (tptp.enc tptp.tc tptp.k)) (tptp.p tptp.kk) (tptp.p (tptp.i tptp.kk)) _let_3 _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 3.59/3.80 )
% 3.59/3.80 % SZS output end Proof for SWV237+1
% 3.59/3.80 % cvc5---1.0.5 exiting
% 3.59/3.81 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------