TSTP Solution File: SYN326+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN326+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 02:02:28 EDT 2023
% Result : Theorem 0.17s 0.45s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN326+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Aug 26 22:21:42 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.17/0.41 %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.45 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ahH8D3bKSo/cvc5---1.0.5_32013.p...
% 0.17/0.45 ------- get file name : TPTP file name is SYN326+1
% 0.17/0.45 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32013.smt2...
% 0.17/0.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.45 % SZS status Theorem for SYN326+1
% 0.17/0.45 % SZS output start Proof for SYN326+1
% 0.17/0.45 (
% 0.17/0.45 (let ((_let_1 (not (exists ((X $$unsorted)) (forall ((Y $$unsorted) (Z $$unsorted)) (=> (=> (=> (tptp.big_f Y Z) (=> (tptp.big_g Y) (tptp.big_h X))) (tptp.big_f X X)) (=> (=> (=> (tptp.big_f Z X) (tptp.big_g X)) (tptp.big_h Z)) (=> (tptp.big_f X Y) (tptp.big_f Z Z))))))))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_5 (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)) (not (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) _let_4))) (let ((_let_6 (and _let_5 _let_3))) (let ((_let_7 (or _let_6 (and (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)))) (let ((_let_8 (forall ((Y $$unsorted) (Z $$unsorted)) (or (and (or (not (tptp.big_f Y Z)) (not (tptp.big_g Y)) (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (and (or (not (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (tptp.big_h Z))) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 Y)) (tptp.big_f Z Z))))) (let ((_let_9 (not _let_7))) (let ((_let_10 (forall ((X $$unsorted)) (not (forall ((Y $$unsorted) (Z $$unsorted)) (or (and (or (not (tptp.big_f Y Z)) (not (tptp.big_g Y)) (tptp.big_h X)) (not (tptp.big_f X X))) (and (or (not (tptp.big_f Z X)) (tptp.big_g X)) (not (tptp.big_h Z))) (not (tptp.big_f X Y)) (tptp.big_f Z Z))))))) (let ((_let_11 (not _let_8))) (let ((_let_12 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_13 (_let_10))) (let ((_let_14 (or))) (let ((_let_15 (_let_11))) (let ((_let_16 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_17 (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_16))) (let ((_let_18 (not _let_4))) (let ((_let_19 (and _let_17 _let_18))) (let ((_let_20 (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_21 (not _let_16))) (let ((_let_22 (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)) _let_21 _let_20))) (let ((_let_23 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_24 (not _let_23))) (let ((_let_25 (and _let_22 _let_24))) (let ((_let_26 (not _let_22))) (let ((_let_27 (or _let_25 (and (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8))) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8)))) (let ((_let_28 (forall ((Y $$unsorted) (Z $$unsorted)) (or (and (or (not (tptp.big_f Y Z)) (not (tptp.big_g Y)) (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (and (or (not (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.big_h Z))) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 Y)) (tptp.big_f Z Z))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (not _let_28))) (let ((_let_31 (_let_30))) (let ((_let_32 (or (and (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.big_h e_$$unsorted_2)) (not (tptp.big_f e_$$unsorted_2 e_$$unsorted_2))) (and (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 e_$$unsorted_2)) (tptp.big_g e_$$unsorted_2)) (not _let_20)) (not (tptp.big_f e_$$unsorted_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_23))) (let ((_let_33 (forall ((Y $$unsorted) (Z $$unsorted)) (or (and (or (not (tptp.big_f Y Z)) (not (tptp.big_g Y)) (tptp.big_h e_$$unsorted_2)) (not (tptp.big_f e_$$unsorted_2 e_$$unsorted_2))) (and (or (not (tptp.big_f Z e_$$unsorted_2)) (tptp.big_g e_$$unsorted_2)) (not (tptp.big_h Z))) (not (tptp.big_f e_$$unsorted_2 Y)) (tptp.big_f Z Z))))) (let ((_let_34 (not _let_32))) (let ((_let_35 (not _let_33))) (let ((_let_36 (_let_35))) (let ((_let_37 (_let_25))) (let ((_let_38 (or (and (or (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (not (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) _let_19 (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)) _let_2))) (let ((_let_39 (forall ((Y $$unsorted) (Z $$unsorted)) (or (and (or (not (tptp.big_f Y Z)) (not (tptp.big_g Y)) (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (and (or (not (tptp.big_f Z SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (not (tptp.big_h Z))) (not (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 Y)) (tptp.big_f Z Z))))) (let ((_let_40 (not _let_38))) (let ((_let_41 (not _let_39))) (let ((_let_42 (_let_41))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_42)) :args _let_42)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_39))) (REFL :args (_let_40)) :args _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_12 :args (_let_41 false _let_10)) :args (_let_40 true _let_39)))) (let ((_let_44 (not _let_17))) (let ((_let_45 (_let_19))) (let ((_let_46 (not _let_5))) (let ((_let_47 (_let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_7 0)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_47) (CONG (REFL :args _let_47) (REFL :args (_let_46)) (MACRO_SR_PRED_INTRO :args ((= (not _let_3) _let_2))) :args _let_14)) :args ((or _let_2 _let_6 _let_46))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 3)) _let_43 :args (_let_3 true _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_5 2)) :args ((or _let_18 _let_5))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_45) (CONG (REFL :args _let_45) (REFL :args (_let_44)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_4))) :args _let_14)) :args ((or _let_4 _let_19 _let_44))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_38 1)) _let_43 :args ((not _let_19) true _let_38)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_17 1)) :args ((or _let_21 _let_17))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG (REFL :args (_let_22)) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_16))) :args _let_14)) :args ((or _let_16 _let_22))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_37) (CONG (REFL :args _let_37) (REFL :args (_let_26)) (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_14)) :args ((or _let_23 _let_25 _let_26))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 3)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_36)) :args _let_36)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_33))) (REFL :args (_let_34)) :args _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (e_$$unsorted_2 QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_12 :args (_let_35 false _let_10)) :args (_let_34 true _let_33)) :args (_let_24 true _let_32)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 0)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_31)) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_28))) (REFL :args (_let_29)) :args _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_12 :args (_let_30 false _let_10)) :args (_let_29 true _let_28)) :args ((not _let_25) true _let_27)) :args (_let_26 true _let_23 true _let_25)) :args (_let_16 true _let_22)) :args (_let_17 false _let_16)) :args (_let_4 true _let_19 false _let_17)) :args (_let_5 false _let_4)) :args (_let_6 true _let_2 false _let_5)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_15)) :args _let_15)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_11) _let_8))) (REFL :args (_let_9)) :args _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_ENUM)) :args _let_13)) _let_12 :args (_let_11 false _let_10)) :args (_let_9 true _let_8)) :args (false false _let_6 true _let_7)) :args (_let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.45 )
% 0.17/0.45 % SZS output end Proof for SYN326+1
% 0.17/0.45 % cvc5---1.0.5 exiting
% 0.17/0.45 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------