TSTP Solution File: SYN082-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SYN082-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 02:01:23 EDT 2023

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Proof 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN082-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Sat Aug 26 21:15:59 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.19/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.19/0.48  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.JLTeD0hTC7/cvc5---1.0.5_21861.p...
% 0.19/0.49  ------- get file name : TPTP file name is SYN082-1
% 0.19/0.49  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21861.smt2...
% 0.19/0.49  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.19/0.51  % SZS status Unsatisfiable for SYN082-1
% 0.19/0.51  % SZS output start Proof for SYN082-1
% 0.19/0.51  (
% 0.19/0.51  (let ((_let_1 (forall ((X $$unsorted)) (or (not (tptp.big_f (tptp.g X) X)) (not (tptp.big_f tptp.a X)) (not (tptp.big_f tptp.a (tptp.f tptp.a))))))) (let ((_let_2 (forall ((X $$unsorted)) (or (tptp.big_f (tptp.g X) X) (not (tptp.big_f tptp.a X)) (not (tptp.big_f tptp.a (tptp.f tptp.a))))))) (let ((_let_3 (tptp.big_f tptp.a tptp.b))) (let ((_let_4 (tptp.f tptp.a))) (let ((_let_5 (tptp.big_f tptp.a _let_4))) (let ((_let_6 (or _let_5 _let_3))) (let ((_let_7 (forall ((Y $$unsorted)) (let ((_let_1 (tptp.f tptp.a))) (or (tptp.big_f tptp.a _let_1) (not (tptp.big_f Y tptp.b)) (tptp.big_f Y _let_1)))))) (let ((_let_8 (not _let_5))) (let ((_let_9 (tptp.big_f (tptp.g _let_4) _let_4))) (let ((_let_10 (not _let_9))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (forall ((Y $$unsorted)) (or (not (tptp.big_f Y tptp.b)) (tptp.big_f Y (tptp.f tptp.a)))))) (let ((_let_13 (not _let_3))) (let ((_let_14 (or _let_13 _let_5))) (let ((_let_15 (_let_12))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_15) :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f Y tptp.b) false))))) :args _let_15)) (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_5 _let_13 (not _let_14)))) (ASSUME :args (_let_6)) (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args (_let_5 true _let_14 false _let_3 false _let_12)))) (let ((_let_17 (forall ((X $$unsorted)) (or (not (tptp.big_f (tptp.g X) X)) (not (tptp.big_f tptp.a X)))))) (let ((_let_18 (forall ((X $$unsorted)) (or (not (tptp.big_f (tptp.g X) X)) (not (tptp.big_f tptp.a X)))))) (let ((_let_19 (_let_17))) (let ((_let_20 (or _let_9 _let_8))) (let ((_let_21 (forall ((X $$unsorted)) (or (tptp.big_f (tptp.g X) X) (not (tptp.big_f tptp.a X)))))) (let ((_let_22 (forall ((X $$unsorted)) (or (tptp.big_f (tptp.g X) X) (not (tptp.big_f tptp.a X)))))) (let ((_let_23 (_let_21))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_11)) :args ((or _let_8 _let_10 (not _let_11)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_8 _let_9 (not _let_20)))) _let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_23) :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f tptp.a X) false))))) :args _let_23)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_21 (= X X)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) _let_16 :args (_let_22 false _let_5)) :args (_let_21 false _let_22)) :args (_let_20 false _let_21)) :args (_let_9 false _let_5 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_19) :args (_let_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.big_f tptp.a X) false))))) :args _let_19)) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_17 (= X X)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) _let_16 :args (_let_18 false _let_5)) :args (_let_17 false _let_18)) :args (_let_11 false _let_17)) _let_16 :args (false false _let_9 false _let_11 false _let_5)) :args (_let_7 _let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.big_f (tptp.g X) X) (not (tptp.big_f tptp.a X)) (not (tptp.big_f Y tptp.b)) (tptp.big_f Y (tptp.f tptp.a)))) (forall ((X $$unsorted)) (or (tptp.big_f (tptp.g X) X) (not (tptp.big_f tptp.a X)) (tptp.big_f tptp.a tptp.b))) _let_2 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.big_f (tptp.g X) X)) (not (tptp.big_f tptp.a X)) (not (tptp.big_f Y tptp.b)) (tptp.big_f Y (tptp.f tptp.a)))) (forall ((X $$unsorted)) (or (not (tptp.big_f (tptp.g X) X)) (not (tptp.big_f tptp.a X)) (tptp.big_f tptp.a tptp.b))) _let_1))))))))))))))))))))))))))
% 0.19/0.51  )
% 0.19/0.51  % SZS output end Proof for SYN082-1
% 0.19/0.51  % cvc5---1.0.5 exiting
% 0.19/0.51  % cvc5---1.0.5 exiting
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