TSTP Solution File: LCL226-3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL226-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 07:01:16 EDT 2023
% Result : Unsatisfiable 0.21s 0.63s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL226-3 : TPTP v8.1.2. Released v2.3.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n011.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 02:13:38 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.tmf5U3btXX/cvc5---1.0.5_17815.p...
% 0.21/0.51 ------- get file name : TPTP file name is LCL226-3
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_17815.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.63 % SZS status Unsatisfiable for LCL226-3
% 0.21/0.63 % SZS output start Proof for LCL226-3
% 0.21/0.63 (
% 0.21/0.63 (let ((_let_1 (tptp.or tptp.q tptp.s))) (let ((_let_2 (tptp.or (tptp.not tptp.r) tptp.s))) (let ((_let_3 (tptp.implies _let_2 _let_1))) (let ((_let_4 (tptp.or tptp.q tptp.r))) (let ((_let_5 (tptp.implies _let_4 _let_3))) (let ((_let_6 (tptp.theorem _let_5))) (let ((_let_7 (not _let_6))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.theorem X) (not (tptp.theorem (tptp.implies Y X))) (not (tptp.theorem Y)))))) (let ((_let_9 (forall ((X $$unsorted)) (or (tptp.theorem X) (not (tptp.axiom X)))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X Y) (tptp.or (tptp.not X) Y))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.implies A B) (tptp.implies (tptp.or C A) (tptp.or C B))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A (tptp.or B C)) (tptp.or B (tptp.or A C))))))) (let ((_let_13 (tptp.implies tptp.r tptp.s))) (let ((_let_14 (= _let_2 _let_13))) (let ((_let_15 (tptp.implies _let_4 _let_1))) (let ((_let_16 (tptp.not _let_4))) (let ((_let_17 (tptp.or _let_16 _let_1))) (let ((_let_18 (= _let_17 _let_15))) (let ((_let_19 (tptp.not _let_2))) (let ((_let_20 (tptp.or _let_19 _let_17))) (let ((_let_21 (= _let_20 (tptp.implies _let_2 _let_17)))) (let ((_let_22 (tptp.axiom (tptp.implies _let_13 _let_15)))) (let ((_let_23 (tptp.axiom _let_20))) (let ((_let_24 (_let_10))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 ((tptp.or (tptp.not X) Y)))) (let ((_let_27 (_let_11))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (not _let_23))) (let ((_let_30 (tptp.theorem _let_20))) (let ((_let_31 (or _let_30 _let_29))) (let ((_let_32 (_let_9))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (not _let_30))) (let ((_let_35 (tptp.or _let_19 _let_1))) (let ((_let_36 (tptp.or _let_16 _let_35))) (let ((_let_37 (tptp.implies _let_20 _let_36))) (let ((_let_38 (tptp.theorem _let_37))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.theorem _let_36))) (let ((_let_41 (or _let_40 _let_39 _let_34))) (let ((_let_42 (_let_8))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (tptp.axiom _let_37))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_38 _let_45))) (let ((_let_47 (_let_12))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (= _let_3 _let_35))) (let ((_let_50 (= _let_5 (tptp.or _let_16 _let_3)))) (let ((_let_51 (not _let_40))) (let ((_let_52 ((tptp.implies X Y)))) (let ((_let_53 (ASSUME :args (_let_7)))) (let ((_let_54 (and _let_7 _let_50 _let_49))) (let ((_let_55 (_let_7 _let_50 _let_49))) (let ((_let_56 (ASSUME :args (_let_50)))) (let ((_let_57 (ASSUME :args (_let_49)))) (let ((_let_58 (and _let_14 _let_18 _let_21 _let_22))) (let ((_let_59 (ASSUME :args (_let_22)))) (let ((_let_60 (ASSUME :args (_let_18)))) (let ((_let_61 (ASSUME :args (_let_14)))) (let ((_let_62 (ASSUME :args (_let_21)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_58)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_59 _let_61 _let_60 _let_62) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_62)) (CONG (SYMM (SYMM _let_61)) (SYMM (SYMM _let_60)) :args (APPLY_UF tptp.implies))) :args (APPLY_UF tptp.axiom)) (TRUE_INTRO _let_59))) :args (_let_22 _let_14 _let_18 _let_21))) :args (_let_14 _let_18 _let_21 _let_22))) :args (true _let_58)) :args ((or (not _let_14) (not _let_18) (not _let_21) _let_23 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_29 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_40 _let_39 _let_34 (not _let_41)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_54)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_56 _let_57) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (REFL :args (_let_16)) (SYMM _let_57) :args (APPLY_UF tptp.or)) (SYMM _let_56)) :args (APPLY_UF tptp.theorem)) (FALSE_INTRO _let_53))) :args _let_55)) :args _let_55)) :args (true _let_54)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) (REFL :args ((not _let_50))) (REFL :args ((not _let_49))) (REFL :args (_let_51)) :args (or))) _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_4 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_24)) _let_25 :args (_let_50 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_52)) :args _let_24)) _let_25 :args (_let_49 false _let_10)) :args (_let_51 true _let_6 false _let_50 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_38 (not _let_46)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_19 _let_16 _let_1 QUANTIFIERS_INST_E_MATCHING ((tptp.or B (tptp.or A C))))) :args _let_47)) _let_48 :args (_let_44 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_37 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.axiom X) false))))) :args _let_32)) _let_33 :args (_let_46 false _let_9)) :args (_let_38 false _let_44 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_36 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.implies Y X)))) :args _let_42)) _let_43 :args (_let_41 false _let_8)) :args (_let_34 true _let_40 false _let_38 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.theorem X) true))))) :args _let_32)) _let_33 :args (_let_31 false _let_9)) :args (_let_29 true _let_30 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.r tptp.s tptp.q QUANTIFIERS_INST_E_MATCHING ((tptp.implies (tptp.or C A) (tptp.or C B))))) :args _let_27)) _let_28 :args (_let_22 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_2 _let_17 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24))) _let_25 :args (_let_21 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (_let_4 _let_1 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24))) _let_25 :args (_let_18 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.r tptp.s QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24))) _let_25 :args (_let_14 false _let_10)) :args (false true _let_23 false _let_22 false _let_21 false _let_18 false _let_14)) :args ((forall ((A $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A A) A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies A (tptp.or B A)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.axiom (tptp.implies (tptp.or A B) (tptp.or B A)))) _let_12 _let_11 _let_10 _let_9 _let_8 _let_7)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.63 )
% 0.21/0.63 % SZS output end Proof for LCL226-3
% 0.21/0.64 % cvc5---1.0.5 exiting
% 0.21/0.64 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------