TSTP Solution File: SYN374+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN374+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 02:02:49 EDT 2023

% Result   : Theorem 0.20s 0.50s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN374+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.33  % Computer : n026.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit   : 300
% 0.14/0.33  % WCLimit    : 300
% 0.14/0.33  % DateTime   : Sat Aug 26 18:16:48 EDT 2023
% 0.14/0.33  % CPUTime    : 
% 0.20/0.46  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.BNywnkRJlr/cvc5---1.0.5_14561.p...
% 0.20/0.50  ------- get file name : TPTP file name is SYN374+1
% 0.20/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14561.smt2...
% 0.20/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.50  % SZS status Theorem for SYN374+1
% 0.20/0.50  % SZS output start Proof for SYN374+1
% 0.20/0.50  (
% 0.20/0.50  (let ((_let_1 (forall ((Y $$unsorted)) (tptp.big_p Y)))) (let ((_let_2 (not (= (exists ((X $$unsorted)) (forall ((Y $$unsorted)) (= (tptp.big_p X) (tptp.big_p Y)))) (= (exists ((X $$unsorted)) (tptp.big_p X)) _let_1))))) (let ((_let_3 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_4 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (forall ((X $$unsorted)) (not (tptp.big_p X))))) (let ((_let_7 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_8 (= _let_4 _let_7))) (let ((_let_9 (not _let_6))) (let ((_let_10 (_let_6))) (let ((_let_11 ((not (= (tptp.big_p X) false))))) (let ((_let_12 (ASSUME :args _let_10))) (let ((_let_13 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_11)) :args _let_10)))) (let ((_let_14 (forall ((Y $$unsorted)) (= (tptp.big_p Y) (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_15 (not _let_8))) (let ((_let_16 (forall ((X $$unsorted)) (not (forall ((Y $$unsorted)) (= (tptp.big_p X) (tptp.big_p Y))))))) (let ((_let_17 (not _let_14))) (let ((_let_18 (= _let_1 _let_9))) (let ((_let_19 (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (= _let_4 _let_19))) (let ((_let_21 (or))) (let ((_let_22 (not _let_18))) (let ((_let_23 (REFL :args (_let_22)))) (let ((_let_24 (not _let_16))) (let ((_let_25 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_16))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_14))) (let ((_let_28 (_let_24))) (let ((_let_29 ((not (= (tptp.big_p Y) _let_4))))) (let ((_let_30 (ASSUME :args _let_27))) (let ((_let_31 (not _let_5))) (let ((_let_32 (not _let_3))) (let ((_let_33 (_let_5))) (let ((_let_34 (REORDERING (CNF_EQUIV_POS2 :args _let_33) :args ((or _let_4 _let_32 _let_31))))) (let ((_let_35 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_6))))) (let ((_let_36 (_let_9))) (let ((_let_37 (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_36)) :args _let_36) (REWRITE :args ((=> _let_9 (not _let_32)))))) (CONG _let_35 (REFL :args (_let_3)) :args _let_21)))) (let ((_let_38 (_let_18))) (let ((_let_39 (_let_1))) (let ((_let_40 ((not (= (tptp.big_p Y) true))))) (let ((_let_41 (ASSUME :args _let_39))) (let ((_let_42 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)))) (let ((_let_43 (not _let_4))) (let ((_let_44 (not _let_1))) (let ((_let_45 (_let_44))) (let ((_let_46 (MACRO_RESOLUTION_TRUST _let_13 (REORDERING (EQ_RESOLVE (CNF_EQUIV_NEG2 :args _let_38) (CONG (REFL :args _let_38) (REFL :args _let_45) _let_35 :args _let_21)) :args ((or _let_6 _let_18 _let_44))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_45)) :args _let_45)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_1))) (REFL :args ((not _let_19))) :args _let_21)) (REORDERING (CNF_EQUIV_POS1 :args (_let_20)) :args ((or _let_19 _let_43 (not _let_20)))) (MACRO_RESOLUTION_TRUST _let_42 (REORDERING (CNF_EQUIV_NEG1 :args _let_38) :args ((or _let_1 _let_9 _let_18))) _let_37 _let_34 :args ((or _let_18 _let_4 _let_31) false _let_1 false _let_6 true _let_3)) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_30 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_29)) :args _let_27))) (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_28)) :args _let_28) (REWRITE :args ((=> _let_24 (not (not (forall ((Y $$unsorted)) (= (tptp.big_p SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.big_p Y)))))))))) (CONG _let_25 (REFL :args _let_27) :args _let_21)) (EQ_RESOLVE (NOT_EQUIV_ELIM2 _let_26) (CONG _let_25 _let_23 :args _let_21)) :args (_let_16 false _let_6 false _let_1 false _let_19 false _let_4 false _let_20 false _let_5 false _let_14 true _let_18)))) (let ((_let_47 (_let_16))) (let ((_let_48 (_let_17))) (let ((_let_49 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_48)) :args _let_48) (REWRITE :args ((=> _let_17 (not (= _let_7 _let_4))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_14))) (REFL :args (_let_15)) :args _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_47) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_47))) _let_46 :args (_let_17 false _let_16)) :args (_let_15 true _let_14)))) (let ((_let_50 (_let_8))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_12 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_11)) :args _let_10)) (REORDERING (CNF_EQUIV_NEG1 :args _let_50) :args ((or _let_4 _let_7 _let_8))) _let_49 _let_13 :args (_let_9 false _let_7 true _let_8 true _let_4)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (NOT_EQUIV_ELIM1 _let_26) _let_46 :args (_let_18 false _let_16)))) (let ((_let_53 (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args _let_38) (CONG _let_23 (REFL :args _let_39) _let_35 :args _let_21)) :args ((or _let_1 _let_6 _let_22))))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG2 :args _let_33) :args ((or _let_32 _let_5 _let_43))) (MACRO_RESOLUTION_TRUST _let_42 (MACRO_RESOLUTION_TRUST _let_53 _let_51 _let_52 :args (_let_1 true _let_6 false _let_18)) :args (_let_4 false _let_1)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) (REORDERING (CNF_EQUIV_NEG2 :args _let_50) :args ((or _let_43 _let_8 (not _let_7)))) _let_49 _let_34 _let_53 _let_52 _let_37 :args ((or _let_6 _let_31) true _let_7 true _let_8 false _let_4 false _let_1 false _let_18 false _let_3)) _let_51 :args (_let_31 true _let_6)) (MACRO_RESOLUTION_TRUST _let_37 _let_51 :args (_let_3 true _let_6)) :args (false false _let_4 true _let_5 false _let_3)) :args (_let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.50  )
% 0.20/0.50  % SZS output end Proof for SYN374+1
% 0.20/0.50  % cvc5---1.0.5 exiting
% 0.20/0.50  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------