TSTP Solution File: SYN067+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 : Fri Sep 1 02:01:15 EDT 2023
% Result : Theorem 0.21s 0.54s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN067+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.18/0.35 % Computer : n019.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sat Aug 26 17:35:58 EDT 2023
% 0.18/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.54 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.SOxYVlNDDr/cvc5---1.0.5_30965.p...
% 0.21/0.54 ------- get file name : TPTP file name is SYN067+1
% 0.21/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_30965.smt2...
% 0.21/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.54 % SZS status Theorem for SYN067+1
% 0.21/0.54 % SZS output start Proof for SYN067+1
% 0.21/0.54 (
% 0.21/0.54 (let ((_let_1 (not (= (forall ((X $$unsorted)) (=> (and (tptp.big_p tptp.a) (=> (tptp.big_p X) (exists ((Y $$unsorted)) (and (tptp.big_p Y) (tptp.big_r X Y))))) (exists ((Z $$unsorted) (W $$unsorted)) (and (tptp.big_p Z) (tptp.big_r X W) (tptp.big_r W Z))))) (forall ((X1 $$unsorted)) (let ((_let_1 (not (tptp.big_p tptp.a)))) (and (or _let_1 (tptp.big_p X1) (exists ((Z1 $$unsorted) (W1 $$unsorted)) (and (tptp.big_p Z1) (tptp.big_r X1 W1) (tptp.big_r W1 Z1)))) (or _let_1 (not (exists ((Y1 $$unsorted)) (and (tptp.big_p Y1) (tptp.big_r X1 Y1)))) (exists ((Z2 $$unsorted) (W2 $$unsorted)) (and (tptp.big_p Z2) (tptp.big_r X1 W2) (tptp.big_r W2 Z2))))))))))) (let ((_let_2 (forall ((Z $$unsorted) (W $$unsorted)) (or (not (tptp.big_p Z)) (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 W)) (not (tptp.big_r W Z)))))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_7 (not _let_6))) (let ((_let_8 (or _let_7 _let_5))) (let ((_let_9 (and (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14) _let_8))) (let ((_let_10 (or _let_9 _let_3))) (let ((_let_11 (forall ((X $$unsorted) (BOUND_VARIABLE_663 $$unsorted)) (or (and (tptp.big_p X) (or (not (tptp.big_p BOUND_VARIABLE_663)) (not (tptp.big_r X BOUND_VARIABLE_663)))) (not (forall ((Z $$unsorted) (W $$unsorted)) (or (not (tptp.big_p Z)) (not (tptp.big_r X W)) (not (tptp.big_r W Z))))))))) (let ((_let_12 (tptp.big_p tptp.a))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_11))) (let ((_let_15 (forall ((BOUND_VARIABLE_717 $$unsorted) (BOUND_VARIABLE_738 $$unsorted)) (or (not (forall ((Z2 $$unsorted) (W2 $$unsorted)) (or (not (tptp.big_p Z2)) (not (tptp.big_r BOUND_VARIABLE_717 W2)) (not (tptp.big_r W2 Z2))))) (not (tptp.big_p BOUND_VARIABLE_738)) (not (tptp.big_r BOUND_VARIABLE_717 BOUND_VARIABLE_738)))))) (let ((_let_16 (or _let_13 _let_15))) (let ((_let_17 (forall ((BOUND_VARIABLE_706 $$unsorted)) (or (tptp.big_p BOUND_VARIABLE_706) (not (forall ((Z1 $$unsorted) (W1 $$unsorted)) (or (not (tptp.big_p Z1)) (not (tptp.big_r BOUND_VARIABLE_706 W1)) (not (tptp.big_r W1 Z1))))))))) (let ((_let_18 (or _let_13 _let_17))) (let ((_let_19 (and _let_18 _let_16))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (not _let_21))) (let ((_let_23 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((Z2 $$unsorted) (W2 $$unsorted)) (or (not (tptp.big_p Z2)) (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 W2)) (not (tptp.big_r W2 Z2)))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22))) (let ((_let_28 (forall ((Z1 $$unsorted) (W1 $$unsorted)) (or (not (tptp.big_p Z1)) (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 W1)) (not (tptp.big_r W1 Z1)))))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_31 (or _let_30 _let_29))) (let ((_let_32 (and _let_30 (or _let_13 (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.a)))))) (let ((_let_33 (forall ((Z $$unsorted) (W $$unsorted)) (or (not (tptp.big_p Z)) (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 W)) (not (tptp.big_r W Z)))))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_32 _let_34))) (let ((_let_36 (not _let_16))) (let ((_let_37 (or))) (let ((_let_38 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))))) (let ((_let_39 (_let_14))) (let ((_let_40 (_let_18))) (let ((_let_41 (_let_16))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (NOT_EQUIV_ELIM2 _let_42))) (let ((_let_44 (CNF_AND_NEG :args (_let_19)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST _let_44 _let_43 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 0)) (CONG (REFL :args _let_41) _let_38 :args _let_37)) :args ((or _let_12 _let_16))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG (REFL :args _let_40) _let_38 :args _let_37)) :args ((or _let_12 _let_18))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_14 0)) (CONG (REFL :args _let_39) _let_38 :args _let_37)) :args ((or _let_12 _let_14))) :args (_let_12 true _let_19 false _let_16 false _let_18 false _let_14)))) (let ((_let_46 (_let_15))) (let ((_let_47 (forall ((Z $$unsorted) (W $$unsorted)) (or (not (tptp.big_p Z)) (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 W)) (not (tptp.big_r W Z)))))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_24 _let_22))) (let ((_let_50 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_51 (and _let_50 _let_49))) (let ((_let_52 (or _let_51 _let_48))) (let ((_let_53 (forall ((Z1 $$unsorted) (W1 $$unsorted)) (or (not (tptp.big_p Z1)) (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 W1)) (not (tptp.big_r W1 Z1)))))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_50 _let_54))) (let ((_let_56 (not _let_27))) (let ((_let_57 (NOT_EQUIV_ELIM1 _let_42))) (let ((_let_58 (not _let_11))) (let ((_let_59 (_let_58))) (let ((_let_60 (_let_17))) (let ((_let_61 (REFL :args (_let_49)))) (let ((_let_62 (REORDERING (CNF_OR_POS :args _let_39) :args ((or _let_13 _let_11 (not _let_14)))))) (let ((_let_63 (not _let_17))) (let ((_let_64 (_let_63))) (let ((_let_65 (_let_11))) (let ((_let_66 ((tptp.big_r X BOUND_VARIABLE_663)))) (let ((_let_67 (ASSUME :args _let_65))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_32 _let_34 (not _let_35)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_28 (= W1 W) (= Z1 Z)))) (REORDERING (CNF_AND_POS :args (_let_32 0)) :args ((or _let_30 (not _let_32)))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 1)) (CONG (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_37)) :args ((or _let_28 _let_31))) (CNF_OR_NEG :args (_let_31 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_64)) :args _let_64)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_17))) (REFL :args ((not _let_31))) :args _let_37)) (CNF_OR_NEG :args (_let_18 1)) _let_44 _let_62 _let_45 _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_24 _let_22 _let_26 _let_56))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 1)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_37)) :args ((or _let_21 _let_49))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_49 0)) (CONG _let_61 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_37)) :args ((or _let_23 _let_49))) (CNF_AND_NEG :args (_let_51)) (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_50 _let_54 (not _let_55)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_60) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p BOUND_VARIABLE_706) true))))) :args _let_60)) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_47 (= W W1) (= Z Z1)))) (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_47 (= W W2) (= Z Z2)))) (REORDERING (CNF_OR_POS :args _let_40) :args ((or _let_13 _let_17 (not _let_18)))) _let_45 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 1)) (CONG (REFL :args (_let_52)) (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_37)) :args ((or _let_47 _let_52))) (CNF_OR_NEG :args (_let_52 0)) (REORDERING (CNF_AND_POS :args (_let_19 0)) :args ((or _let_18 _let_20))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_59)) :args _let_59)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_58) _let_11))) (REFL :args ((not _let_52))) :args _let_37)) _let_57 (CNF_OR_NEG :args (_let_14 1)) :args ((or _let_14 _let_56) false _let_21 false _let_23 true _let_49 false _let_50 false _let_55 false _let_53 false _let_25 false _let_17 false _let_12 false _let_47 true _let_51 false _let_18 true _let_52 false _let_19 true _let_11)) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_46) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_r BOUND_VARIABLE_717 BOUND_VARIABLE_738) false))))) :args _let_46)) (REORDERING (CNF_OR_POS :args _let_41) :args ((or _let_13 _let_15 _let_36))) _let_45 :args (_let_36 false _let_35 false _let_33 true _let_32 false _let_28 true _let_30 true _let_31 true _let_17 true _let_18 false _let_11 false _let_12 true _let_19 false _let_14 false _let_27 false _let_15 false _let_12)))) (let ((_let_69 (forall ((Z2 $$unsorted) (W2 $$unsorted)) (or (not (tptp.big_p Z2)) (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 W2)) (not (tptp.big_r W2 Z2)))))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_7 _let_5))) (let ((_let_72 (not _let_71))) (let ((_let_73 (not _let_15))) (let ((_let_74 (_let_73))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_15))) (REFL :args (_let_72)) :args _let_37)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_16 1)) _let_68 :args (_let_73 true _let_16)) :args (_let_72 true _let_15)))) (let ((_let_76 (REFL :args (_let_71)))) (let ((_let_77 (not _let_9))) (let ((_let_78 (not _let_8))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_10)) :args ((or _let_9 _let_3 (not _let_10)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_8 _let_77))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_8)) :args ((or _let_7 _let_5 _let_78))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 1)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))) :args _let_37)) :args ((or _let_6 _let_71))) _let_75 :args (_let_6 true _let_71)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 2)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_5) _let_4))) :args _let_37)) :args ((or _let_4 _let_71))) _let_75 :args (_let_4 true _let_71)) :args (_let_78 false _let_6 false _let_4)) :args (_let_77 true _let_8)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM1 (ALPHA_EQUIV :args (_let_69 (= W2 W) (= Z2 Z)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_71 0)) (CONG _let_76 (MACRO_SR_PRED_INTRO :args ((= (not _let_70) _let_69))) :args _let_37)) :args ((or _let_69 _let_71))) _let_75 :args (_let_69 true _let_71)) :args (_let_2 false _let_69)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_65)) (MACRO_RESOLUTION_TRUST _let_62 _let_45 (MACRO_RESOLUTION_TRUST _let_57 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 1)) :args ((or _let_16 _let_20))) _let_68 :args (_let_20 true _let_16)) :args (_let_14 true _let_19)) :args (_let_11 false _let_12 false _let_14)) :args (_let_10 false _let_11)) :args (false true _let_9 false _let_2 false _let_10)) :args (_let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.54 )
% 0.21/0.54 % SZS output end Proof for SYN067+1
% 0.21/0.54 % cvc5---1.0.5 exiting
% 0.21/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------