TSTP Solution File: LCL134-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL134-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 07:00:49 EDT 2023
% Result : Unsatisfiable 0.19s 0.52s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL134-1 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n007.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 : Thu Aug 24 19:24:10 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.NKMOcsxEAJ/cvc5---1.0.5_16264.p...
% 0.19/0.49 ------- get file name : TPTP file name is LCL134-1
% 0.19/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_16264.smt2...
% 0.19/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.52 % SZS status Unsatisfiable for LCL134-1
% 0.19/0.52 % SZS output start Proof for LCL134-1
% 0.19/0.53 (
% 0.19/0.53 (let ((_let_1 (tptp.implies tptp.x tptp.truth))) (let ((_let_2 (not (= _let_1 tptp.truth)))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)) tptp.truth)))) (let ((_let_4 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies X Y) Y) (tptp.implies (tptp.implies Y X) X))))) (let ((_let_5 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))) tptp.truth)))) (let ((_let_6 (forall ((X $$unsorted)) (= (tptp.implies tptp.truth X) X)))) (let ((_let_7 (= tptp.truth _let_1))) (let ((_let_8 (tptp.implies tptp.truth tptp.truth))) (let ((_let_9 (= tptp.truth _let_8))) (let ((_let_10 (tptp.implies tptp.truth tptp.x))) (let ((_let_11 (= (tptp.implies _let_10 tptp.x) (tptp.implies _let_1 tptp.truth)))) (let ((_let_12 (tptp.not tptp.truth))) (let ((_let_13 (tptp.implies _let_12 _let_12))) (let ((_let_14 (tptp.implies _let_13 _let_8))) (let ((_let_15 (= tptp.truth _let_14))) (let ((_let_16 (= tptp.x _let_10))) (let ((_let_17 (tptp.implies _let_13 _let_13))) (let ((_let_18 (= tptp.truth (tptp.implies _let_17 (tptp.implies _let_14 _let_14))))) (let ((_let_19 (tptp.implies tptp.truth _let_13))) (let ((_let_20 (= (tptp.implies (tptp.implies _let_13 tptp.truth) tptp.truth) (tptp.implies _let_19 _let_13)))) (let ((_let_21 (= _let_13 _let_19))) (let ((_let_22 (= tptp.truth (tptp.implies (tptp.implies _let_17 tptp.x) (tptp.implies _let_1 (tptp.implies _let_17 tptp.truth)))))) (let ((_let_23 (tptp.implies _let_10 _let_10))) (let ((_let_24 (= tptp.truth (tptp.implies _let_8 _let_23)))) (let ((_let_25 (= _let_23 (tptp.implies tptp.truth _let_23)))) (let ((_let_26 (forall ((X $$unsorted)) (= X (tptp.implies tptp.truth X))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (_let_26))) (let ((_let_29 (_let_4))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 ((tptp.implies tptp.truth X)))) (let ((_let_34 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))) (let ((_let_38 (and _let_9 _let_11 _let_15 _let_16 _let_18 _let_20 _let_21 _let_22 _let_24 _let_25))) (let ((_let_39 (APPLY_UF tptp.implies))) (let ((_let_40 (ASSUME :args (_let_24)))) (let ((_let_41 (ASSUME :args (_let_9)))) (let ((_let_42 (SYMM _let_41))) (let ((_let_43 (SYMM _let_42))) (let ((_let_44 (ASSUME :args (_let_25)))) (let ((_let_45 (ASSUME :args (_let_16)))) (let ((_let_46 (SYMM _let_45))) (let ((_let_47 (ASSUME :args (_let_11)))) (let ((_let_48 (ASSUME :args (_let_15)))) (let ((_let_49 (REFL :args (_let_13)))) (let ((_let_50 (CONG _let_49 _let_43 :args _let_39))) (let ((_let_51 (TRANS _let_50 (SYMM _let_48)))) (let ((_let_52 (REFL :args (_let_1)))) (let ((_let_53 (ASSUME :args (_let_18)))) (let ((_let_54 (TRANS _let_42 _let_48))) (let ((_let_55 (CONG _let_43 _let_43 :args _let_39))) (let ((_let_56 (ASSUME :args (_let_20)))) (let ((_let_57 (ASSUME :args (_let_21)))) (let ((_let_58 (REFL :args (_let_19)))) (let ((_let_59 (ASSUME :args (_let_22)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_38)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_45 _let_40 _let_41 _let_44 _let_48 _let_56 _let_57 _let_47 _let_53 _let_59) (SCOPE (TRANS (SYMM (SYMM _let_59)) (CONG (CONG (TRANS (CONG _let_49 _let_57 :args _let_39) (CONG _let_57 _let_58 :args _let_39) (CONG _let_58 (SYMM _let_57) :args _let_39) (SYMM _let_56) (CONG (TRANS _let_51 _let_43) _let_43 :args _let_39) (SYMM _let_55) _let_42) (REFL :args (tptp.x)) :args _let_39) (TRANS (CONG _let_52 (TRANS (CONG (REFL :args (_let_17)) (TRANS _let_43 _let_55 (CONG _let_54 _let_54 :args _let_39)) :args _let_39) (SYMM _let_53) _let_48 (SYMM _let_50)) :args _let_39) (CONG _let_52 _let_51 :args _let_39) (SYMM _let_47)) :args _let_39) (CONG _let_46 (TRANS (CONG (REFL :args (_let_10)) (SYMM _let_46) :args _let_39) (SYMM (SYMM _let_44)) (CONG _let_43 (REFL :args (_let_23)) :args _let_39) (SYMM _let_40)) :args _let_39)) :args (_let_16 _let_24 _let_9 _let_25 _let_15 _let_20 _let_21 _let_11 _let_18 _let_22))) :args (_let_9 _let_11 _let_15 _let_16 _let_18 _let_20 _let_21 _let_22 _let_24 _let_25))) :args (true _let_38)) :args ((or _let_7 (not _let_9) (not _let_11) (not _let_15) (not _let_16) (not _let_18) (not _let_20) (not _let_21) (not _let_22) (not _let_24) (not _let_25)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_28)) _let_27 :args (_let_25 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (tptp.truth tptp.truth tptp.x QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) _let_35 :args (_let_24 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_17 tptp.x tptp.truth QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) _let_35 :args (_let_22 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_28)) _let_27 :args (_let_21 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_13 tptp.truth QUANTIFIERS_INST_E_MATCHING ((tptp.implies (tptp.implies X Y) Y)))) :args _let_29)) _let_30 :args (_let_20 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_13 _let_13 _let_8 QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36)) _let_35 :args (_let_18 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_28)) _let_27 :args (_let_16 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.truth tptp.truth QUANTIFIERS_INST_ENUM)) :args (_let_31))) _let_32 :args (_let_15 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (tptp.truth tptp.x QUANTIFIERS_INST_ENUM)) :args _let_29)) _let_30 :args (_let_11 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.truth QUANTIFIERS_INST_ENUM)) :args _let_28)) _let_27 :args (_let_9 false _let_26)) (SYMM (ASSUME :args (_let_2))) :args (false false _let_25 false _let_24 false _let_22 false _let_21 false _let_20 false _let_18 false _let_16 false _let_15 false _let_11 false _let_9 true _let_7)) :args (_let_6 _let_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.19/0.53 )
% 0.19/0.53 % SZS output end Proof for LCL134-1
% 0.19/0.53 % cvc5---1.0.5 exiting
% 0.19/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------