TSTP Solution File: SYN319+1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 02:02:24 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
% 0.00/0.13  % Problem    : SYN319+1 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.16/0.35  % Computer : n015.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit   : 300
% 0.16/0.35  % WCLimit    : 300
% 0.16/0.35  % DateTime   : Sat Aug 26 19:26:53 EDT 2023
% 0.16/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.53  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WblUnSEpVa/cvc5---1.0.5_31000.p...
% 0.20/0.53  ------- get file name : TPTP file name is SYN319+1
% 0.20/0.53  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_31000.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 SYN319+1
% 0.20/0.53  % SZS output start Proof for SYN319+1
% 0.20/0.53  (
% 0.20/0.53  (let ((_let_1 (not (exists ((X $$unsorted) (Y $$unsorted)) (forall ((Z1 $$unsorted) (Z2 $$unsorted)) (let ((_let_1 (tptp.big_h Z2))) (let ((_let_2 (tptp.big_g X))) (=> (=> (=> (tptp.big_f Y) (tptp.big_g Z1)) (and _let_2 (not (tptp.big_f Z1)))) (=> (=> (or (tptp.big_f X) _let_2) (tptp.big_h X)) (and _let_1 (=> (tptp.big_h Y) (=> (or (tptp.big_f Z2) (tptp.big_g Z2)) _let_1)))))))))))) (let ((_let_2 (tptp.big_f SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_3 (forall ((BOUND_VARIABLE_740 $$unsorted)) (tptp.big_f BOUND_VARIABLE_740)))) (let ((_let_4 (tptp.big_g SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_5 (not _let_4))) (let ((_let_6 (not _let_2))) (let ((_let_7 (and _let_6 _let_5))) (let ((_let_8 (tptp.big_h SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (or _let_7 _let_8))) (let ((_let_10 (forall ((BOUND_VARIABLE_699 $$unsorted)) (or (and (not (tptp.big_f BOUND_VARIABLE_699)) (not (tptp.big_g BOUND_VARIABLE_699))) (tptp.big_h BOUND_VARIABLE_699))))) (let ((_let_11 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_12 (AND_ELIM _let_11 :args (0)))) (let ((_let_13 (_let_10))) (let ((_let_14 (forall ((BOUND_VARIABLE_652 $$unsorted)) (tptp.big_h BOUND_VARIABLE_652)))) (let ((_let_15 (not _let_8))) (let ((_let_16 (forall ((BOUND_VARIABLE_657 $$unsorted)) (or (and (not (tptp.big_f BOUND_VARIABLE_657)) (not (tptp.big_g BOUND_VARIABLE_657))) (tptp.big_h BOUND_VARIABLE_657))))) (let ((_let_17 (not _let_16))) (let ((_let_18 (and (forall ((BOUND_VARIABLE_760 $$unsorted)) (tptp.big_h BOUND_VARIABLE_760)) _let_17))) (let ((_let_19 (not _let_14))) (let ((_let_20 (not _let_18))) (let ((_let_21 (_let_19))) (let ((_let_22 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_8 _let_7 (not _let_9)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_21)) :args _let_21)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_14))) (REFL :args (_let_15)) :args (or))) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_11 :args (2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_18 1)) :args ((or _let_17 _let_20))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (SYMM (ALPHA_EQUIV :args (_let_10 (= BOUND_VARIABLE_699 BOUND_VARIABLE_657))))) _let_12 :args (_let_16 false _let_10)) :args (_let_20 false _let_16)) :args (_let_19 true _let_18)) :args (_let_15 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_13) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_h BOUND_VARIABLE_699) true))))) :args _let_13)) _let_12 :args (_let_9 false _let_10)) :args (_let_7 true _let_8 false _let_9)))) (let ((_let_23 (not _let_7))) (let ((_let_24 (forall ((BOUND_VARIABLE_634 $$unsorted)) (tptp.big_g BOUND_VARIABLE_634)))) (let ((_let_25 (not _let_24))) (let ((_let_26 (and _let_3 _let_25))) (let ((_let_27 (forall ((BOUND_VARIABLE_748 $$unsorted)) (tptp.big_g BOUND_VARIABLE_748)))) (let ((_let_28 (and _let_27 (not (forall ((BOUND_VARIABLE_640 $$unsorted)) (tptp.big_f BOUND_VARIABLE_640)))))) (let ((_let_29 (not _let_28))) (let ((_let_30 (_let_24))) (let ((_let_31 (_let_3))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_31) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f BOUND_VARIABLE_740) true))))) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_26 0)) :args ((or _let_3 (not _let_26)))) (MACRO_RESOLUTION_TRUST (AND_ELIM _let_11 :args (1)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_28 0)) :args ((or _let_27 _let_29))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_24 (= BOUND_VARIABLE_634 BOUND_VARIABLE_748)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_30) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_g BOUND_VARIABLE_634) true))))) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_7 1)) :args ((or _let_5 _let_23))) _let_22 :args (_let_5 false _let_7)) :args (_let_25 true _let_4)) :args ((not _let_27) true _let_24)) :args (_let_29 true _let_27)) :args (_let_26 true _let_28)) :args (_let_3 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_7 0)) :args ((or _let_6 _let_23))) _let_22 :args (_let_6 false _let_7)) :args (false false _let_3 true _let_2)) :args (_let_1 true))))))))))))))))))))))))))))))))))
% 0.20/0.53  )
% 0.20/0.53  % SZS output end Proof for SYN319+1
% 0.20/0.53  % cvc5---1.0.5 exiting
% 0.20/0.53  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------