TSTP Solution File: ITP209_1 by cvc5---1.0.5

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : ITP209_1 : TPTP v8.1.2. Released v8.0.0.
% 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 : Thu Aug 31 03:19:35 EDT 2023

% Result   : Theorem 0.21s 0.55s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : ITP209_1 : TPTP v8.1.2. Released v8.0.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n016.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   : Sun Aug 27 14:08:28 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.55  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Bfukv1bflj/cvc5---1.0.5_6829.p...
% 0.21/0.55  ------- get file name : TPTP file name is ITP209_1
% 0.21/0.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_6829.smt2...
% 0.21/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55  % SZS status Theorem for ITP209_1
% 0.21/0.55  % SZS output start Proof for ITP209_1
% 0.21/0.55  (
% 0.21/0.55  (let ((_let_1 (tptp.aa_a_fun_a_a tptp.f tptp.a2))) (let ((_let_2 (tptp.aa_a_a _let_1 tptp.c))) (let ((_let_3 (tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f _let_2) tptp.b))) (let ((_let_4 (tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f (tptp.aa_a_a _let_1 tptp.b)) tptp.c))) (let ((_let_5 (= _let_4 _let_3))) (let ((_let_6 (not _let_5))) (let ((_let_7 (forall ((A tptp.a) (B tptp.a) (C tptp.a)) (let ((_let_1 (tptp.aa_a_fun_a_a tptp.f A))) (= (tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f (tptp.aa_a_a _let_1 B)) C) (tptp.aa_a_a _let_1 (tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f B) C))))))) (let ((_let_8 (forall ((A tptp.a) (B tptp.a) (C tptp.a)) (let ((_let_1 (tptp.aa_a_fun_a_a tptp.f A))) (let ((_let_2 (tptp.aa_a_fun_a_a tptp.f B))) (= (tptp.aa_a_a _let_1 (tptp.aa_a_a _let_2 C)) (tptp.aa_a_a _let_2 (tptp.aa_a_a _let_1 C)))))))) (let ((_let_9 (forall ((A tptp.a) (B tptp.a)) (= (tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f A) B) (tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f B) A))))) (let ((_let_10 (tptp.aa_a_fun_a_a tptp.f tptp.b))) (let ((_let_11 (tptp.aa_a_a _let_1 (tptp.aa_a_a _let_10 tptp.c)))) (let ((_let_12 (tptp.aa_a_a _let_10 _let_2))) (let ((_let_13 (= _let_12 _let_11))) (let ((_let_14 (_let_8))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 (= _let_4 _let_11))) (let ((_let_17 (= _let_3 _let_12))) (let ((_let_18 (not _let_13))) (let ((_let_19 (_let_7))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (_let_9))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (ASSUME :args (_let_6)))) (let ((_let_24 (and _let_6 _let_17 _let_16))) (let ((_let_25 (ASSUME :args (_let_17)))) (let ((_let_26 (ASSUME :args (_let_16)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.b tptp.a2 tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f A) (tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f B) C))))) :args _let_14)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_24)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_26 _let_23 _let_25) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (SYMM _let_26) (SYMM _let_25) :args (=)) (FALSE_INTRO _let_23)) :args ((= _let_13 false)))) :args (_let_16 _let_6 _let_17))) :args (_let_6 _let_17 _let_16))) :args (true _let_24)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_6) _let_5))) (REFL :args ((not _let_17))) (REFL :args ((not _let_16))) (REFL :args (_let_18)) :args (or))) _let_23 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_2 tptp.b QUANTIFIERS_INST_E_MATCHING ((tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f A) B)))) :args _let_21)) _let_22 :args (_let_17 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a2 tptp.b tptp.c QUANTIFIERS_INST_E_MATCHING ((tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f (tptp.aa_a_a (tptp.aa_a_fun_a_a tptp.f A) B)) C)))) :args _let_19)) _let_20 :args (_let_16 false _let_7)) :args (_let_18 true _let_5 false _let_17 false _let_16)) _let_15 :args (false true _let_13 false _let_8)) :args ((tptp.syntax_ac_operator_a tptp.f) _let_9 _let_8 _let_7 (forall ((F tptp.fun_a_fun_a_a)) (=> (forall ((A2 tptp.a) (B2 tptp.a) (C2 tptp.a)) (let ((_let_1 (tptp.aa_a_fun_a_a F A2))) (= (tptp.aa_a_a (tptp.aa_a_fun_a_a F (tptp.aa_a_a _let_1 B2)) C2) (tptp.aa_a_a _let_1 (tptp.aa_a_a (tptp.aa_a_fun_a_a F B2) C2))))) (=> (forall ((A2 tptp.a) (B2 tptp.a)) (= (tptp.aa_a_a (tptp.aa_a_fun_a_a F A2) B2) (tptp.aa_a_a (tptp.aa_a_fun_a_a F B2) A2))) (tptp.syntax_ac_operator_a F)))) (forall ((F tptp.fun_a_fun_a_a) (A tptp.a) (B tptp.a)) (=> (tptp.syntax_ac_operator_a F) (= (tptp.aa_a_a (tptp.aa_a_fun_a_a F A) B) (tptp.aa_a_a (tptp.aa_a_fun_a_a F B) A)))) (forall ((F tptp.fun_a_fun_a_a) (A tptp.a) (B tptp.a) (C tptp.a)) (let ((_let_1 (tptp.aa_a_fun_a_a F A))) (=> (tptp.syntax_ac_operator_a F) (= (tptp.aa_a_a _let_1 (tptp.aa_a_a (tptp.aa_a_fun_a_a F B) C)) (tptp.aa_a_a (tptp.aa_a_fun_a_a F (tptp.aa_a_a _let_1 B)) C))))) (forall ((F tptp.fun_a_fun_a_a) (A tptp.a) (B tptp.a) (C tptp.a)) (let ((_let_1 (tptp.aa_a_fun_a_a F A))) (=> (tptp.syntax_ac_operator_a F) (= (tptp.aa_a_a (tptp.aa_a_fun_a_a F (tptp.aa_a_a _let_1 B)) C) (tptp.aa_a_a _let_1 (tptp.aa_a_a (tptp.aa_a_fun_a_a F B) C)))))) (forall ((F tptp.fun_a_fun_a_a) (A tptp.a) (B tptp.a) (C tptp.a)) (let ((_let_1 (tptp.aa_a_fun_a_a F A))) (let ((_let_2 (tptp.aa_a_fun_a_a F B))) (=> (tptp.syntax_ac_operator_a F) (= (tptp.aa_a_a _let_1 (tptp.aa_a_a _let_2 C)) (tptp.aa_a_a _let_2 (tptp.aa_a_a _let_1 C))))))) (forall ((F tptp.fun_a_fun_a_a)) (= (tptp.syntax_ac_operator_a F) (and (forall ((A3 tptp.a) (B3 tptp.a) (C3 tptp.a)) (let ((_let_1 (tptp.aa_a_fun_a_a F A3))) (= (tptp.aa_a_a (tptp.aa_a_fun_a_a F (tptp.aa_a_a _let_1 B3)) C3) (tptp.aa_a_a _let_1 (tptp.aa_a_a (tptp.aa_a_fun_a_a F B3) C3))))) (forall ((A3 tptp.a) (B3 tptp.a)) (= (tptp.aa_a_a (tptp.aa_a_fun_a_a F A3) B3) (tptp.aa_a_a (tptp.aa_a_fun_a_a F B3) A3)))))) (tptp.pp tptp.fTrue) (not (tptp.pp tptp.fFalse)) _let_6 true)))))))))))))))))))))))))))))
% 0.21/0.55  )
% 0.21/0.55  % SZS output end Proof for ITP209_1
% 0.21/0.55  % cvc5---1.0.5 exiting
% 0.21/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------