TSTP Solution File: GRP194+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : GRP194+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.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 00:25:08 EDT 2023
% Result : Theorem 0.36s 0.56s
% Output : Proof 0.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP194+1 : TPTP v8.1.2. Released v2.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n009.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 : Mon Aug 28 21:10:35 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.36/0.56 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.nTpix9oXqn/cvc5---1.0.5_26786.p...
% 0.36/0.56 ------- get file name : TPTP file name is GRP194+1
% 0.36/0.56 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26786.smt2...
% 0.36/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.36/0.56 % SZS status Theorem for GRP194+1
% 0.36/0.56 % SZS output start Proof for GRP194+1
% 0.36/0.56 (
% 0.36/0.56 (let ((_let_1 (tptp.phi tptp.f_left_zero))) (let ((_let_2 (tptp.left_zero tptp.h _let_1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.left_zero tptp.f tptp.f_left_zero))) (let ((_let_5 (forall ((G $$unsorted) (X $$unsorted)) (= (tptp.left_zero G X) (and (tptp.group_member X G) (forall ((Y $$unsorted)) (=> (tptp.group_member Y G) (= (tptp.multiply G X Y) X)))))))) (let ((_let_6 (forall ((X $$unsorted)) (=> (tptp.group_member X tptp.h) (exists ((Y $$unsorted)) (and (tptp.group_member Y tptp.f) (= (tptp.phi Y) X))))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.group_member X tptp.f) (tptp.group_member Y tptp.f)) (= (tptp.multiply tptp.h (tptp.phi X) (tptp.phi Y)) (tptp.phi (tptp.multiply tptp.f X Y))))))) (let ((_let_8 (forall ((X $$unsorted)) (=> (tptp.group_member X tptp.f) (tptp.group_member (tptp.phi X) tptp.h))))) (let ((_let_9 (= _let_1 (tptp.multiply tptp.h _let_1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_10 (tptp.phi SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_11 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10))) (let ((_let_12 (tptp.multiply tptp.f tptp.f_left_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_13 (= (tptp.multiply tptp.h _let_1 _let_10) (tptp.phi _let_12)))) (let ((_let_14 (= tptp.f_left_zero _let_12))) (let ((_let_15 (tptp.group_member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.h))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or _let_16 _let_9))) (let ((_let_18 (forall ((Y $$unsorted)) (let ((_let_1 (tptp.phi tptp.f_left_zero))) (or (not (tptp.group_member Y tptp.h)) (= _let_1 (tptp.multiply tptp.h _let_1 Y))))))) (let ((_let_19 (not _let_17))) (let ((_let_20 (tptp.group_member _let_1 tptp.h))) (let ((_let_21 (and _let_20 _let_18))) (let ((_let_22 (not _let_18))) (let ((_let_23 (tptp.group_member tptp.f_left_zero tptp.f))) (let ((_let_24 (not _let_23))) (let ((_let_25 (or _let_24 _let_20))) (let ((_let_26 (forall ((X $$unsorted)) (or (not (tptp.group_member X tptp.f)) (tptp.group_member (tptp.phi X) tptp.h))))) (let ((_let_27 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_28 (forall ((Y $$unsorted)) (or (not (tptp.group_member Y tptp.f)) (= tptp.f_left_zero (tptp.multiply tptp.f tptp.f_left_zero Y)))))) (let ((_let_29 (and _let_23 _let_28))) (let ((_let_30 (= _let_4 _let_29))) (let ((_let_31 (forall ((G $$unsorted) (X $$unsorted)) (= (tptp.left_zero G X) (and (tptp.group_member X G) (forall ((Y $$unsorted)) (or (not (tptp.group_member Y G)) (= X (tptp.multiply G X Y))))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_31))) (let ((_let_34 ((tptp.left_zero G X)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_30)) :args ((or (not _let_4) _let_29 (not _let_30)))) (ASSUME :args (_let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.f tptp.f_left_zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_30 false _let_31)) :args (_let_29 false _let_4 false _let_30)))) (let ((_let_36 (not _let_29))) (let ((_let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 0)) :args ((or _let_23 _let_36))) _let_35 :args (_let_23 false _let_29)))) (let ((_let_38 (= _let_2 _let_21))) (let ((_let_39 (not _let_21))) (let ((_let_40 (or))) (let ((_let_41 (_let_22))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_18))) (REFL :args (_let_19)) :args _let_40)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_38)) :args ((or _let_2 _let_39 (not _let_38)))) (ASSUME :args (_let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (tptp.h _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_34)) :args _let_33)) _let_32 :args (_let_38 false _let_31)) :args (_let_39 true _let_2 false _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_25)) :args ((or _let_24 _let_20 (not _let_25)))) _let_37 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_27 :args (tptp.f_left_zero QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.phi X)))) :args (_let_26))) _let_27 :args (_let_25 false _let_26)) :args (_let_20 false _let_23 false _let_25)) :args (_let_22 true _let_21 false _let_20)) :args (_let_19 true _let_18)))) (let ((_let_43 (not _let_11))) (let ((_let_44 (tptp.group_member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.f))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_43))) (let ((_let_47 (forall ((Y $$unsorted)) (or (not (tptp.group_member Y tptp.f)) (not (= (tptp.phi Y) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_48 (not _let_46))) (let ((_let_49 (not _let_47))) (let ((_let_50 (or _let_16 _let_49))) (let ((_let_51 (forall ((X $$unsorted)) (or (not (tptp.group_member X tptp.h)) (not (forall ((Y $$unsorted)) (or (not (tptp.group_member Y tptp.f)) (not (= X (tptp.phi Y)))))))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_49))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_53)) :args _let_53) (REWRITE :args ((=> _let_49 (not (or _let_45 (not (= _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_47))) (REFL :args (_let_48)) :args _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_16 _let_49 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_17 0)) (CONG (REFL :args (_let_17)) (MACRO_SR_PRED_INTRO :args ((= (not _let_16) _let_15))) :args _let_40)) :args ((or _let_15 _let_17))) _let_42 :args (_let_15 true _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.group_member X tptp.h) false))))) :args (_let_51)))) _let_52 :args (_let_50 false _let_51)) :args (_let_49 false _let_15 false _let_50)) :args (_let_48 true _let_47)))) (let ((_let_55 (REFL :args (_let_46)))) (let ((_let_56 (or _let_24 _let_45 _let_13))) (let ((_let_57 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.group_member X tptp.f)) (not (tptp.group_member Y tptp.f)) (= (tptp.multiply tptp.h (tptp.phi X) (tptp.phi Y)) (tptp.phi (tptp.multiply tptp.f X Y))))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_40)) :args ((or _let_44 _let_46))) _let_54 :args (_let_44 true _let_46)))) (let ((_let_60 (or _let_45 _let_14))) (let ((_let_61 (_let_28))) (let ((_let_62 (and _let_11 _let_13 _let_14))) (let ((_let_63 (_let_11 _let_13 _let_14))) (let ((_let_64 (ASSUME :args (_let_11)))) (let ((_let_65 (ASSUME :args (_let_13)))) (let ((_let_66 (ASSUME :args (_let_14)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_65 _let_66) (SCOPE (TRANS (CONG (SYMM (SYMM _let_66)) :args (APPLY_UF tptp.phi)) (SYMM _let_65) (CONG (REFL :args (tptp.h)) (REFL :args (_let_1)) (SYMM _let_64) :args (APPLY_UF tptp.multiply))) :args _let_63)) :args _let_63)) :args (true _let_62)) :args ((or _let_9 _let_43 (not _let_13) (not _let_14)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_45 _let_14 (not _let_60)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_61) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.group_member Y tptp.f) false))))) :args _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_29 1)) :args ((or _let_28 _let_36))) _let_35 :args (_let_28 false _let_29)) :args (_let_60 false _let_28)) :args (_let_14 false _let_44 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_24 _let_45 _let_13 (not _let_56)))) _let_37 _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.f_left_zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((tptp.multiply tptp.h (tptp.phi X) (tptp.phi Y))))) :args (_let_57))) _let_58 :args (_let_56 false _let_57)) :args (_let_13 false _let_23 false _let_44 false _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 1)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_43) _let_11))) :args _let_40)) :args ((or _let_11 _let_46))) _let_54 :args (_let_11 true _let_46)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_17 1)) _let_42 :args ((not _let_9) true _let_17)) :args (false false _let_14 false _let_13 false _let_11 true _let_9)) :args ((forall ((G $$unsorted) (X $$unsorted) (Y $$unsorted)) (=> (and (tptp.group_member X G) (tptp.group_member Y G)) (tptp.group_member (tptp.multiply G X Y) G))) (forall ((G $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.group_member X G) (tptp.group_member Y G) (tptp.group_member Z G)) (= (tptp.multiply G (tptp.multiply G X Y) Z) (tptp.multiply G X (tptp.multiply G Y Z))))) _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.36/0.56 )
% 0.36/0.56 % SZS output end Proof for GRP194+1
% 0.36/0.56 % cvc5---1.0.5 exiting
% 0.36/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------