TSTP Solution File: LCL111-2 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL111-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 07:00:45 EDT 2023
% Result : Unsatisfiable 63.83s 64.03s
% Output : Proof 63.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LCL111-2 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.17/0.35 % Computer : n028.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Fri Aug 25 05:53:20 EDT 2023
% 0.17/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HS6MgSnLFG/cvc5---1.0.5_29701.p...
% 0.20/0.49 ------- get file name : TPTP file name is LCL111-2
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_29701.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.32/10.51 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.29/15.52 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.34/20.54 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.41/25.61 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.43/30.63 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.36/35.64 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.46/40.65 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.46/45.67 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.45/50.68 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.47/55.69 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.51/60.71 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 63.83/64.03 % SZS status Unsatisfiable for LCL111-2
% 63.83/64.03 % SZS output start Proof for LCL111-2
% 63.83/64.03 (
% 63.83/64.03 (let ((_let_1 (tptp.implies tptp.z tptp.y))) (let ((_let_2 (tptp.implies tptp.z tptp.x))) (let ((_let_3 (tptp.implies _let_2 _let_1))) (let ((_let_4 (tptp.implies tptp.x tptp.y))) (let ((_let_5 (tptp.implies _let_4 _let_3))) (let ((_let_6 (not (= _let_5 tptp.truth)))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))) tptp.truth)))) (let ((_let_8 (forall ((X $$unsorted)) (= (tptp.implies tptp.truth X) X)))) (let ((_let_9 (= tptp.truth _let_5))) (let ((_let_10 (= tptp.truth (tptp.implies _let_3 (tptp.implies (tptp.implies _let_1 tptp.y) (tptp.implies _let_2 tptp.y)))))) (let ((_let_11 (tptp.implies _let_4 _let_1))) (let ((_let_12 (tptp.implies _let_2 _let_11))) (let ((_let_13 (= tptp.truth _let_12))) (let ((_let_14 (tptp.implies (tptp.implies _let_11 _let_1) _let_3))) (let ((_let_15 (tptp.implies _let_12 _let_14))) (let ((_let_16 (= tptp.truth _let_15))) (let ((_let_17 (= _let_14 (tptp.implies tptp.truth _let_14)))) (let ((_let_18 (= _let_1 (tptp.implies tptp.truth _let_1)))) (let ((_let_19 (= _let_4 (tptp.implies tptp.truth _let_4)))) (let ((_let_20 (tptp.implies tptp.y tptp.y))) (let ((_let_21 (tptp.implies _let_11 (tptp.implies _let_20 _let_1)))) (let ((_let_22 (tptp.implies _let_20 _let_4))) (let ((_let_23 (tptp.implies _let_22 _let_21))) (let ((_let_24 (= tptp.truth _let_23))) (let ((_let_25 (tptp.implies _let_21 _let_3))) (let ((_let_26 (tptp.implies _let_25 (tptp.implies _let_22 _let_3)))) (let ((_let_27 (= tptp.truth (tptp.implies _let_23 _let_26)))) (let ((_let_28 (= tptp.y (tptp.implies tptp.truth tptp.y)))) (let ((_let_29 (= _let_26 (tptp.implies tptp.truth _let_26)))) (let ((_let_30 (tptp.implies (tptp.implies _let_14 tptp.y) (tptp.implies _let_12 tptp.y)))) (let ((_let_31 (= tptp.truth (tptp.implies _let_15 _let_30)))) (let ((_let_32 (= _let_30 (tptp.implies tptp.truth _let_30)))) (let ((_let_33 (= _let_5 (tptp.implies tptp.truth _let_5)))) (let ((_let_34 (SYMM (ASSUME :args (_let_6))))) (let ((_let_35 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))))) (let ((_let_36 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_37 (_let_35))) (let ((_let_38 (forall ((X $$unsorted)) (= X (tptp.implies tptp.truth X))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 (not _let_33))) (let ((_let_42 (not _let_32))) (let ((_let_43 (not _let_31))) (let ((_let_44 (not _let_29))) (let ((_let_45 (not _let_28))) (let ((_let_46 (not _let_27))) (let ((_let_47 (not _let_24))) (let ((_let_48 (not _let_19))) (let ((_let_49 (not _let_18))) (let ((_let_50 (not _let_17))) (let ((_let_51 (not _let_16))) (let ((_let_52 (not _let_13))) (let ((_let_53 (not _let_10))) (let ((_let_54 (_let_41))) (let ((_let_55 (not _let_9))) (let ((_let_56 (ASSUME :args (_let_33)))) (let ((_let_57 (REFL :args (_let_5)))) (let ((_let_58 (ASSUME :args (_let_27)))) (let ((_let_59 (APPLY_UF tptp.implies))) (let ((_let_60 (ASSUME :args (_let_24)))) (let ((_let_61 (ASSUME :args (_let_29)))) (let ((_let_62 (REFL :args (_let_3)))) (let ((_let_63 (ASSUME :args (_let_28)))) (let ((_let_64 (SYMM _let_63))) (let ((_let_65 (REFL :args (tptp.y)))) (let ((_let_66 (ASSUME :args (_let_10)))) (let ((_let_67 (CONG (SYMM _let_66) _let_65 :args _let_59))) (let ((_let_68 (ASSUME :args (_let_13)))) (let ((_let_69 (ASSUME :args (_let_16)))) (let ((_let_70 (SYMM _let_69))) (let ((_let_71 (CONG _let_68 (REFL :args (_let_14)) :args _let_59))) (let ((_let_72 (ASSUME :args (_let_17)))) (let ((_let_73 (SYMM _let_72))) (let ((_let_74 (CONG (TRANS (CONG (TRANS (TRANS (SYMM _let_73) _let_71 _let_70) _let_66) _let_65 :args _let_59) _let_67 _let_64) (TRANS (CONG (TRANS (SYMM _let_68) _let_66) _let_65 :args _let_59) _let_67 _let_64) :args _let_59))) (let ((_let_75 (ASSUME :args (_let_32)))) (let ((_let_76 (ASSUME :args (_let_31)))) (let ((_let_77 (TRANS (SYMM (SYMM _let_76)) (CONG _let_70 (REFL :args (_let_30)) :args _let_59) (SYMM _let_75)))) (let ((_let_78 (ASSUME :args (_let_19)))) (let ((_let_79 (REFL :args (_let_1)))) (let ((_let_80 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_56 (MODUS_PONENS (AND_INTRO _let_58 _let_60 _let_61 _let_63 _let_66 _let_69 _let_68 _let_72 _let_75 _let_76 _let_78 _let_80 _let_34) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS _let_69 (SYMM _let_71) _let_73 (CONG (CONG (REFL :args (_let_11)) (TRANS (SYMM (SYMM _let_80)) (CONG _let_77 _let_79 :args _let_59) (CONG _let_74 _let_79 :args _let_59)) :args _let_59) _let_62 :args _let_59)) _let_57 :args _let_59) (CONG (REFL :args (_let_25)) (CONG (TRANS (SYMM (SYMM _let_78)) (CONG (TRANS _let_77 _let_74) (REFL :args (_let_4)) :args _let_59)) _let_62 :args _let_59) :args _let_59) (SYMM (SYMM _let_61)) (CONG (SYMM (SYMM _let_60)) (REFL :args (_let_26)) :args _let_59) (SYMM _let_58)) _let_57 :args (=)) (FALSE_INTRO _let_34)) :args ((= _let_33 false)))) :args (_let_27 _let_24 _let_29 _let_28 _let_10 _let_16 _let_13 _let_17 _let_32 _let_31 _let_19 _let_18 _let_55)))) :args (_let_55 _let_10 _let_13 _let_16 _let_17 _let_18 _let_28 _let_19 _let_24 _let_27 _let_29 _let_31 _let_32 _let_33)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_54))) (TRUE_INTRO (SYMM (SYMM _let_56))))) :args (_let_33 _let_41)) :args ((not (and _let_55 _let_10 _let_13 _let_16 _let_17 _let_18 _let_28 _let_19 _let_24 _let_27 _let_29 _let_31 _let_32 _let_33)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_55) _let_9))) (REFL :args (_let_53)) (REFL :args (_let_52)) (REFL :args (_let_51)) (REFL :args (_let_50)) (REFL :args (_let_49)) (REFL :args (_let_45)) (REFL :args (_let_48)) (REFL :args (_let_47)) (REFL :args (_let_46)) (REFL :args (_let_44)) (REFL :args (_let_43)) (REFL :args (_let_42)) (REFL :args _let_54) :args (or))) :args ((or _let_9 _let_53 _let_52 _let_51 _let_50 _let_49 _let_48 _let_47 _let_46 _let_45 _let_44 _let_43 _let_42 _let_41))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_5 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_40)) _let_39 :args (_let_33 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_40)) _let_39 :args (_let_32 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_12 _let_14 tptp.y QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_36 :args (_let_31 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_40)) _let_39 :args (_let_29 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.y QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_40)) _let_39 :args (_let_28 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_22 _let_21 _let_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_36 :args (_let_27 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_20 _let_4 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_36 :args (_let_24 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_40)) _let_39 :args (_let_19 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_1 QUANTIFIERS_INST_CBQI_PROP)) :args _let_40)) _let_39 :args (_let_18 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_40)) _let_39 :args (_let_17 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_2 _let_11 _let_1 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_36 :args (_let_16 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (tptp.z tptp.x tptp.y QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_36 :args (_let_13 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_2 _let_1 tptp.y QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_37)) _let_36 :args (_let_10 false _let_35)) _let_34 :args (false false _let_33 false _let_32 false _let_31 false _let_29 false _let_28 false _let_27 false _let_24 false _let_19 false _let_18 false _let_17 false _let_16 false _let_13 false _let_10 true _let_9)) :args (_let_8 _let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies X Y) Y) (tptp.implies (tptp.implies Y X) X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)) tptp.truth)) _let_6)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 63.83/64.03 )
% 63.83/64.04 % SZS output end Proof for LCL111-2
% 63.83/64.04 % cvc5---1.0.5 exiting
% 63.83/64.04 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------