TSTP Solution File: SYN066+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SYN066+1 : TPTP v8.1.2. Bugfixed v3.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 02:01:14 EDT 2023
% Result : Theorem 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SYN066+1 : TPTP v8.1.2. Bugfixed v3.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n025.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 22:07:23 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZbQZRGRm8a/cvc5---1.0.5_6089.p...
% 0.20/0.53 ------- get file name : TPTP file name is SYN066+1
% 0.20/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6089.smt2...
% 0.20/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Theorem for SYN066+1
% 0.20/0.53 % SZS output start Proof for SYN066+1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (not (forall ((X $$unsorted)) (exists ((Y $$unsorted)) (tptp.big_r X Y)))))) (let ((_let_2 (forall ((Z $$unsorted)) (tptp.big_r Z Z)))) (let ((_let_3 (=> (exists ((X $$unsorted) (Y $$unsorted)) (tptp.big_q X Y)) _let_2))) (let ((_let_4 (forall ((X $$unsorted) (Z $$unsorted)) (=> (not (tptp.big_p X Z)) (exists ((Y $$unsorted)) (tptp.big_q Y Z)))))) (let ((_let_5 (forall ((Z $$unsorted)) (exists ((W $$unsorted)) (forall ((X $$unsorted)) (exists ((Y $$unsorted)) (let ((_let_1 (tptp.big_p Y W))) (and (=> (tptp.big_p X Z) _let_1) (tptp.big_p Y Z) (=> _let_1 (exists ((U $$unsorted)) (tptp.big_q U W))))))))))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (not (tptp.big_q X Y))))) (let ((_let_7 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_8 (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (forall ((Y $$unsorted)) (not (tptp.big_r SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 Y))))) (let ((_let_10 (forall ((X $$unsorted)) (not (forall ((Y $$unsorted)) (not (tptp.big_r X Y))))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (or))) (let ((_let_13 (_let_9))) (let ((_let_14 (not _let_10))) (let ((_let_15 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_16 (_let_2))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT)))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not (not _let_6)) _let_6))) (REFL :args _let_16) :args _let_12)) :args ((or _let_2 _let_6))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_16) :args _let_15) :args _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_13) :args _let_15) :args _let_13)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_11) :args (_let_14)) (REWRITE :args ((=> _let_14 (not (not _let_9))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_10))) (REFL :args _let_13) :args _let_12)) _let_11 :args (_let_9 true _let_10)) :args ((not _let_8) false _let_9)) :args ((not _let_2) true _let_8)) :args (_let_6 true _let_2)))) (let ((_let_18 (not _let_7))) (let ((_let_19 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_20 (and _let_19 _let_18))) (let ((_let_21 (not _let_19))) (let ((_let_22 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (and _let_22 _let_21))) (let ((_let_24 (or _let_23 (not (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_20))) (let ((_let_25 (forall ((Y $$unsorted) (BOUND_VARIABLE_645 $$unsorted)) (let ((_let_1 (tptp.big_p Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (or (and (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not _let_1)) (not (tptp.big_p Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (and _let_1 (not (tptp.big_q BOUND_VARIABLE_645 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))))))) (let ((_let_26 (not _let_24))) (let ((_let_27 (forall ((X $$unsorted)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_645 $$unsorted)) (let ((_let_1 (tptp.big_p Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (or (and (tptp.big_p X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not _let_1)) (not (tptp.big_p Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (and _let_1 (not (tptp.big_q BOUND_VARIABLE_645 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12)))))))))) (let ((_let_28 (not _let_25))) (let ((_let_29 (forall ((W $$unsorted)) (not (forall ((X $$unsorted)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_645 $$unsorted)) (let ((_let_1 (tptp.big_p Y W))) (or (and (tptp.big_p X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) (not _let_1)) (not (tptp.big_p Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (and _let_1 (not (tptp.big_q BOUND_VARIABLE_645 W)))))))))))) (let ((_let_30 (forall ((Z $$unsorted)) (not (forall ((W $$unsorted)) (not (forall ((X $$unsorted)) (not (forall ((Y $$unsorted) (BOUND_VARIABLE_645 $$unsorted)) (let ((_let_1 (tptp.big_p Y W))) (or (and (tptp.big_p X Z) (not _let_1)) (not (tptp.big_p Y Z)) (and _let_1 (not (tptp.big_q BOUND_VARIABLE_645 W)))))))))))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (_let_27))) (let ((_let_34 (_let_31))) (let ((_let_35 (_let_28))) (let ((_let_36 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_35)) :args _let_35)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_25))) (REFL :args (_let_26)) :args _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_33) :args _let_15) :args _let_33)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34) (REWRITE :args ((=> _let_31 (not (not _let_27))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_29))) (REFL :args _let_33) :args _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args (_let_30))) _let_32 :args (_let_31 false _let_30)) :args (_let_27 true _let_29)) :args (_let_28 false _let_27)) :args (_let_26 true _let_25)))) (let ((_let_37 (forall ((Y $$unsorted)) (not (tptp.big_q Y SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_22 _let_38))) (let ((_let_40 (forall ((X $$unsorted) (Z $$unsorted)) (or (tptp.big_p X Z) (not (forall ((Y $$unsorted)) (not (tptp.big_q Y Z)))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (tptp.big_q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_43 (not _let_42))) (let ((_let_44 (_let_6))) (let ((_let_45 ((not (= (tptp.big_q X Y) false))))) (let ((_let_46 (ASSUME :args _let_44))) (let ((_let_47 (_let_38))) (let ((_let_48 (not _let_22))) (let ((_let_49 (_let_23))) (let ((_let_50 (_let_20))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_50) (CONG (REFL :args _let_50) (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_7))) :args _let_12)) :args ((or _let_21 _let_7 _let_20))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_49) (CONG (REFL :args _let_49) (REFL :args (_let_48)) (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_19))) :args _let_12)) :args ((or _let_19 _let_23 _let_48))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_24 0)) _let_36 :args ((not _let_23) true _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_22 (not _let_39)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_47)) :args _let_47) (REWRITE :args ((=> _let_38 (not _let_43)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) (REFL :args (_let_42)) :args _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_45)) :args _let_44)) _let_17 :args (_let_43 false _let_6)) :args (_let_37 true _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_p X Z) true))))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_22 false _let_37 false _let_39)) :args (_let_19 true _let_23 false _let_22)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_24 2)) _let_36 :args ((not _let_20) true _let_24)) :args (_let_7 false _let_19 true _let_20)) _let_17 :args (false false _let_7 false _let_6)) :args (_let_5 _let_4 _let_3 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for SYN066+1
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------