TSTP Solution File: ANA021-2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : ANA021-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 : Wed Aug 30 17:14:32 EDT 2023
% Result : Unsatisfiable 0.22s 0.55s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : ANA021-2 : TPTP v8.1.2. Released v3.2.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n024.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 : Fri Aug 25 18:24:54 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.52 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Ea4PZ23G4w/cvc5---1.0.5_4319.p...
% 0.22/0.52 ------- get file name : TPTP file name is ANA021-2
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4319.smt2...
% 0.22/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55 % SZS status Unsatisfiable for ANA021-2
% 0.22/0.55 % SZS output start Proof for ANA021-2
% 0.22/0.55 (
% 0.22/0.55 (let ((_let_1 (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_f tptp.v_x) tptp.t_a) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_h tptp.v_x) tptp.t_a) tptp.t_a) tptp.t_a))) (let ((_let_2 (not _let_1))) (let ((_let_3 (not (= tptp.v_x tptp.c_0)))) (let ((_let_4 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.c_Suc V_U))) (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_f _let_1) tptp.t_a) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_h _let_1) tptp.t_a) tptp.t_a) tptp.t_a))))) (let ((_let_5 (forall ((V_n $$unsorted)) (or (tptp.c_less tptp.c_0 V_n tptp.tc_nat) (= V_n tptp.c_0))))) (let ((_let_6 (forall ((V_x $$unsorted)) (or (not (tptp.c_less tptp.c_0 V_x tptp.tc_nat)) (= V_x (tptp.c_Suc (tptp.c_minus V_x tptp.c_1 tptp.tc_nat))))))) (let ((_let_7 (tptp.c_minus tptp.v_x tptp.c_1 tptp.tc_nat))) (let ((_let_8 (tptp.c_Suc _let_7))) (let ((_let_9 (tptp.c_lessequals (tptp.c_HOL_Oabs (tptp.v_f _let_8) tptp.t_a) (tptp.c_times tptp.v_c (tptp.c_HOL_Oabs (tptp.v_h _let_8) tptp.t_a) tptp.t_a) tptp.t_a))) (let ((_let_10 (_let_4))) (let ((_let_11 (ASSUME :args _let_10))) (let ((_let_12 (= tptp.v_x _let_8))) (let ((_let_13 (not _let_9))) (let ((_let_14 (tptp.c_less tptp.c_0 tptp.v_x tptp.tc_nat))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_12))) (let ((_let_17 (_let_6))) (let ((_let_18 (ASSUME :args _let_17))) (let ((_let_19 (tptp.v_x QUANTIFIERS_INST_ENUM))) (let ((_let_20 (= tptp.c_0 tptp.v_x))) (let ((_let_21 (or _let_14 _let_20))) (let ((_let_22 (forall ((V_n $$unsorted)) (or (tptp.c_less tptp.c_0 V_n tptp.tc_nat) (= tptp.c_0 V_n))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (ASSUME :args (_let_2)))) (let ((_let_25 (and _let_2 _let_12))) (let ((_let_26 (_let_2 _let_12))) (let ((_let_27 (REFL :args (tptp.t_a)))) (let ((_let_28 (APPLY_UF tptp.c_HOL_Oabs))) (let ((_let_29 (ASSUME :args (_let_12)))) (let ((_let_30 (SYMM _let_29))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_11 :args (_let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Suc V_U)))) :args _let_10)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_25)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_24 _let_29) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (CONG _let_30 :args (APPLY_UF tptp.v_f)) _let_27 :args _let_28) (CONG (REFL :args (tptp.v_c)) (CONG (CONG _let_30 :args (APPLY_UF tptp.v_h)) _let_27 :args _let_28) _let_27 :args (APPLY_UF tptp.c_times)) _let_27 :args (APPLY_UF tptp.c_lessequals)) (FALSE_INTRO _let_24))) :args _let_26)) :args _let_26)) :args (true _let_25)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_12))) (REFL :args (_let_13)) :args (or))) _let_24 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_15 _let_12 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_14 (not _let_21)))) (SYMM (ASSUME :args (_let_3))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args _let_19) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_14 true _let_20 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_18 :args _let_19) :args _let_17)) _let_18 :args (_let_16 false _let_6)) :args (_let_12 false _let_14 false _let_16)) :args (_let_13 true _let_1 false _let_12)) _let_11 :args (false true _let_9 false _let_4)) :args (_let_6 _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))
% 0.22/0.55 )
% 0.22/0.55 % SZS output end Proof for ANA021-2
% 0.22/0.55 % cvc5---1.0.5 exiting
% 0.22/0.56 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------