%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV488+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 21:51:45 EDT 2023

% Result   : Theorem 0.22s 0.55s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV488+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 09:37:14 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.55  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.wez9FHHb5F/cvc5---1.0.5_1045.p...
% 0.22/0.55  ------- get file name : TPTP file name is SWV488+3
% 0.22/0.55  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1045.smt2...
% 0.22/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55  % SZS status Theorem for SWV488+3
% 0.22/0.55  % SZS output start Proof for SWV488+3
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (not (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.int_leq tptp.int_one J) (tptp.int_leq J I) (tptp.int_leq I tptp.n)) (=> (= I J) (not (= (tptp.a I J) tptp.real_zero)))))))) (let ((_let_2 (forall ((I $$unsorted) (J $$unsorted)) (=> (and (tptp.int_leq tptp.int_one I) (tptp.int_leq I tptp.n) (tptp.int_leq tptp.int_one J) (tptp.int_leq J tptp.n)) (and (forall ((C $$unsorted)) (=> (and (tptp.int_less tptp.int_zero C) (= I (tptp.plus J C))) (forall ((K $$unsorted)) (=> (and (tptp.int_leq tptp.int_one K) (tptp.int_leq K J)) (= (tptp.a (tptp.plus K C) K) tptp.real_zero))))) (forall ((K $$unsorted)) (=> (and (tptp.int_leq tptp.int_one K) (tptp.int_leq K J)) (= (tptp.a K K) tptp.real_one))) (forall ((C $$unsorted)) (=> (and (tptp.int_less tptp.int_zero C) (= J (tptp.plus I C))) (forall ((K $$unsorted)) (=> (and (tptp.int_leq tptp.int_one K) (tptp.int_leq K I)) (= (tptp.a K (tptp.plus K C)) tptp.real_zero)))))))))) (let ((_let_3 (not (= tptp.real_zero tptp.real_one)))) (let ((_let_4 (tptp.int_less tptp.int_zero tptp.int_one))) (let ((_let_5 (tptp.int_leq tptp.int_one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_6 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.n))) (let ((_let_7 (tptp.plus SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_one))) (let ((_let_8 (tptp.int_leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_9 (not _let_8))) (let ((_let_10 (not _let_5))) (let ((_let_11 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7)))) (let ((_let_12 (not _let_4))) (let ((_let_13 (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (= tptp.real_one _let_13))) (let ((_let_15 (or _let_10 _let_9 _let_14))) (let ((_let_16 (and (or _let_12 _let_11 _let_10 _let_9 (= tptp.real_zero (tptp.a _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) _let_15 (or _let_12 _let_11 _let_10 _let_9 (= tptp.real_zero (tptp.a SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7)))))) (let ((_let_17 (not _let_6))) (let ((_let_18 (or _let_10 _let_17 _let_10 _let_17 _let_16))) (let ((_let_19 (= tptp.real_zero _let_13))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_10 _let_9 _let_17 _let_20))) (let ((_let_22 (forall ((J $$unsorted)) (or (not (tptp.int_leq tptp.int_one J)) (not (tptp.int_leq J J)) (not (tptp.int_leq J tptp.n)) (not (= tptp.real_zero (tptp.a J J))))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (or))) (let ((_let_26 (not _let_22))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_24) :args (_let_26))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_25)) _let_24 :args (_let_23 true _let_22)))) (let ((_let_28 (REFL :args (_let_21)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_5))) :args _let_25)) :args ((or _let_5 _let_21))) _let_27 :args (_let_5 true _let_21)))) (let ((_let_30 (forall ((I $$unsorted) (J $$unsorted) (BOUND_VARIABLE_884 $$unsorted) (BOUND_VARIABLE_895 $$unsorted) (BOUND_VARIABLE_869 $$unsorted) (BOUND_VARIABLE_893 $$unsorted) (BOUND_VARIABLE_867 $$unsorted)) (or (not (tptp.int_leq tptp.int_one I)) (not (tptp.int_leq I tptp.n)) (not (tptp.int_leq tptp.int_one J)) (not (tptp.int_leq J tptp.n)) (and (or (not (tptp.int_less tptp.int_zero BOUND_VARIABLE_867)) (not (= I (tptp.plus J BOUND_VARIABLE_867))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_869)) (not (tptp.int_leq BOUND_VARIABLE_869 J)) (= tptp.real_zero (tptp.a (tptp.plus BOUND_VARIABLE_869 BOUND_VARIABLE_867) BOUND_VARIABLE_869))) (or (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_884)) (not (tptp.int_leq BOUND_VARIABLE_884 J)) (= tptp.real_one (tptp.a BOUND_VARIABLE_884 BOUND_VARIABLE_884))) (or (not (tptp.int_less tptp.int_zero BOUND_VARIABLE_893)) (not (= J (tptp.plus I BOUND_VARIABLE_893))) (not (tptp.int_leq tptp.int_one BOUND_VARIABLE_895)) (not (tptp.int_leq BOUND_VARIABLE_895 I)) (= tptp.real_zero (tptp.a BOUND_VARIABLE_895 (tptp.plus BOUND_VARIABLE_895 BOUND_VARIABLE_893))))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (not _let_16))) (let ((_let_33 (not _let_15))) (let ((_let_34 (= tptp.real_one tptp.real_zero))) (let ((_let_35 (not _let_14))) (let ((_let_36 (SYMM (ASSUME :args (_let_3))))) (let ((_let_37 (not _let_34))) (let ((_let_38 (and _let_37 _let_19))) (let ((_let_39 (_let_37 _let_19))) (let ((_let_40 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_18))) :args ((or _let_10 _let_17 _let_16 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_16 1)) :args ((or _let_15 _let_32))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_10 _let_9 _let_14 _let_33))) _let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_25)) :args ((or _let_8 _let_21))) _let_27 :args (_let_8 true _let_21)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_38)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_36 _let_40) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.real_one)) (SYMM _let_40) :args (=)) (FALSE_INTRO _let_36))) :args _let_39)) :args _let_39)) :args (true _let_38)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_34))) (REFL :args (_let_20)) (REFL :args (_let_35)) :args _let_25)) _let_36 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 3)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_25)) :args ((or _let_19 _let_21))) _let_27 :args (_let_19 true _let_21)) :args (_let_35 true _let_34 false _let_19)) :args (_let_33 false _let_5 false _let_8 true _let_14)) :args (_let_32 true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.int_one tptp.int_one QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.int_leq tptp.int_one I) false)) (not (= (tptp.int_leq tptp.int_one J) false)) (tptp.int_less tptp.int_zero BOUND_VARIABLE_867) (tptp.int_leq tptp.int_one BOUND_VARIABLE_869) (tptp.int_leq tptp.int_one BOUND_VARIABLE_884) (tptp.int_less tptp.int_zero BOUND_VARIABLE_893) (tptp.int_leq tptp.int_one BOUND_VARIABLE_895)))) :args (_let_30))) _let_31 :args (_let_18 false _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 2)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_6))) :args _let_25)) :args ((or _let_6 _let_21))) _let_27 :args (_let_6 true _let_21)) _let_29 :args (false true _let_16 false _let_18 false _let_6 false _let_5)) :args ((forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_leq I J) (or (tptp.int_less I J) (= I J)))) (forall ((I $$unsorted) (J $$unsorted) (K $$unsorted)) (=> (and (tptp.int_less I J) (tptp.int_less J K)) (tptp.int_less I K))) (forall ((I $$unsorted) (J $$unsorted)) (=> (tptp.int_less I J) (not (= I J)))) (forall ((I $$unsorted) (J $$unsorted)) (or (tptp.int_less I J) (tptp.int_leq J I))) _let_4 (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.plus I J) (tptp.plus J I))) (forall ((I $$unsorted)) (= (tptp.plus I tptp.int_zero) I)) (forall ((I1 $$unsorted) (J1 $$unsorted) (I2 $$unsorted) (J2 $$unsorted)) (=> (and (tptp.int_less I1 J1) (tptp.int_leq I2 J2)) (tptp.int_leq (tptp.plus I1 I2) (tptp.plus J1 J2)))) (forall ((I $$unsorted) (J $$unsorted)) (= (tptp.int_less I J) (exists ((K $$unsorted)) (and (= (tptp.plus I K) J) (tptp.int_less tptp.int_zero K))))) (forall ((I $$unsorted)) (= (tptp.int_less tptp.int_zero I) (tptp.int_leq tptp.int_one I))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55  )
% 0.22/0.55  % SZS output end Proof for SWV488+3
% 0.22/0.55  % cvc5---1.0.5 exiting
% 0.22/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------