TSTP Solution File: SWV254-2 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV254-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 21:49:58 EDT 2023

% Result   : Unsatisfiable 0.22s 0.54s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SWV254-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n018.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 08:47:48 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.dtTyPVGEZ9/cvc5---1.0.5_26119.p...
% 0.22/0.52  ------- get file name : TPTP file name is SWV254-2
% 0.22/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_26119.smt2...
% 0.22/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.54  % SZS status Unsatisfiable for SWV254-2
% 0.22/0.54  % SZS output start Proof for SWV254-2
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (tptp.class_Orderings_Oorder tptp.tc_nat))) (let ((_let_2 (forall ((V_U $$unsorted)) (= (tptp.v_x V_U) tptp.v_nat)))) (let ((_let_3 (forall ((V_U $$unsorted)) (tptp.c_lessequals V_U (tptp.v_x V_U) tptp.tc_nat)))) (let ((_let_4 (forall ((V_a $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (not (= tptp.c_emptyset (tptp.c_insert V_a V_A T_a)))))) (let ((_let_5 (forall ((V_m $$unsorted)) (= (tptp.c_SetInterval_OatLeastLessThan V_m (tptp.c_Suc V_m) tptp.tc_nat) (tptp.c_insert V_m tptp.c_emptyset tptp.tc_nat))))) (let ((_let_6 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_n V_m T_a)) (= (tptp.c_SetInterval_OatLeastLessThan V_m V_n T_a) tptp.c_emptyset))))) (let ((_let_7 (tptp.v_x tptp.tc_nat))) (let ((_let_8 (= tptp.v_nat _let_7))) (let ((_let_9 (tptp.c_Suc _let_7))) (let ((_let_10 (tptp.c_lessequals _let_9 _let_7 tptp.tc_nat))) (let ((_let_11 (tptp.v_x _let_9))) (let ((_let_12 (tptp.c_lessequals _let_9 _let_11 tptp.tc_nat))) (let ((_let_13 (= tptp.v_nat _let_11))) (let ((_let_14 (forall ((V_U $$unsorted)) (= tptp.v_nat (tptp.v_x V_U))))) (let ((_let_15 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_16 (_let_14))) (let ((_let_17 (tptp.c_SetInterval_OatLeastLessThan _let_7 _let_9 tptp.tc_nat))) (let ((_let_18 (= tptp.c_emptyset _let_17))) (let ((_let_19 (not _let_10))) (let ((_let_20 (not _let_1))) (let ((_let_21 (or _let_20 _let_19 _let_18))) (let ((_let_22 (forall ((T_a $$unsorted) (V_n $$unsorted) (V_m $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_lessequals V_n V_m T_a)) (= tptp.c_emptyset (tptp.c_SetInterval_OatLeastLessThan V_m V_n T_a)))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (tptp.c_insert _let_7 tptp.c_emptyset tptp.tc_nat))) (let ((_let_25 (= _let_17 _let_24))) (let ((_let_26 (= tptp.c_emptyset _let_24))) (let ((_let_27 (not _let_18))) (let ((_let_28 (_let_5))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (not _let_26))) (let ((_let_31 (_let_4))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (not _let_25))) (let ((_let_34 (or))) (let ((_let_35 (and _let_25 _let_30))) (let ((_let_36 (ASSUME :args (_let_30)))) (let ((_let_37 (ASSUME :args (_let_25)))) (let ((_let_38 (_let_3))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (_let_9 QUANTIFIERS_INST_ENUM))) (let ((_let_41 (ASSUME :args (_let_12)))) (let ((_let_42 (ASSUME :args (_let_13)))) (let ((_let_43 (ASSUME :args (_let_8)))) (let ((_let_44 (ASSUME :args (_let_19)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_41 _let_42 _let_43 _let_44) :args (_let_8 _let_19 _let_12 _let_13)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_44)) (CONG (REFL :args (_let_9)) (TRANS (SYMM _let_43) (SYMM (SYMM _let_42))) (REFL :args (tptp.tc_nat)) :args (APPLY_UF tptp.c_lessequals)) (TRUE_INTRO _let_41))) :args (_let_12 _let_13 _let_8 _let_19)) :args ((not (and _let_8 _let_19 _let_12 _let_13)) SB_LITERAL))) (CONG (REFL :args ((not _let_8))) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_10))) (REFL :args ((not _let_12))) (REFL :args ((not _let_13))) :args _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args _let_40) :args _let_16)) _let_15 :args (_let_13 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_40) :args _let_38)) _let_39 :args (_let_12 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_19 _let_18 (not _let_21)))) (ASSUME :args (_let_1)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_35)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_36 _let_37) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.c_emptyset)) (SYMM (SYMM _let_37)) :args (=)) (FALSE_INTRO _let_36))) :args (_let_30 _let_25))) :args (_let_25 _let_30))) :args (true _let_35)) (CONG (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_26))) (REFL :args (_let_27)) :args _let_34)) :args ((or _let_26 _let_33 _let_27))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (_let_7 tptp.c_emptyset tptp.tc_nat QUANTIFIERS_INST_ENUM)) :args _let_31)) _let_32 :args (_let_30 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_7 QUANTIFIERS_INST_ENUM)) :args _let_28)) _let_29 :args (_let_25 false _let_5)) :args (_let_27 true _let_26 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (tptp.tc_nat _let_9 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_SetInterval_OatLeastLessThan V_m V_n T_a) tptp.c_emptyset))))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_19 false _let_1 true _let_18 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (tptp.tc_nat QUANTIFIERS_INST_ENUM)) :args _let_16)) _let_15 :args (_let_8 false _let_14)) :args (false false _let_13 false _let_12 true _let_10 false _let_8)) :args (_let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.55  )
% 0.22/0.55  % SZS output end Proof for SWV254-2
% 0.22/0.55  % cvc5---1.0.5 exiting
% 0.22/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------