TSTP Solution File: SWV864-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV864-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 21:53:34 EDT 2023

% Result   : Unsatisfiable 10.46s 11.00s
% Output   : Proof 10.46s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWV864-1 : TPTP v8.1.2. Released v4.1.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n011.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   : Tue Aug 29 06:46:26 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.OJdaO05lGf/cvc5---1.0.5_15498.p...
% 0.21/0.50  ------- get file name : TPTP file name is SWV864-1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_15498.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.43/10.61  --- Run --no-e-matching --full-saturate-quant at 5...
% 10.46/11.00  % SZS status Unsatisfiable for SWV864-1
% 10.46/11.00  % SZS output start Proof for SWV864-1
% 10.46/11.00  (
% 10.46/11.00  (let ((_let_1 (forall ((V_Z_H $$unsorted)) (or (not (= V_Z_H (tptp.v_xb V_Z_H))) (= V_Z_H tptp.v_xa))))) (let ((_let_2 (forall ((V_Z_H $$unsorted)) (or (= V_Z_H tptp.v_xa) (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x (tptp.v_xb V_Z_H)))))) (let ((_let_3 (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x tptp.v_xa))) (let ((_let_4 (not _let_3))) (let ((_let_5 (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton))) (let ((_let_6 (or (not (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)) _let_5))) (let ((_let_7 (forall ((V_u $$unsorted) (V_t $$unsorted) (V_c $$unsorted) (V_s $$unsorted)) (or (= V_u V_t) (not (tptp.c_Natural_Oevalc V_c V_s V_u)) (not (tptp.c_Natural_Oevalc V_c V_s V_t)))))) (let ((_let_8 (tptp.v_xb tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1))) (let ((_let_9 (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x _let_8))) (let ((_let_10 (tptp.v_xb _let_8))) (let ((_let_11 (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x _let_10))) (let ((_let_12 (not _let_11))) (let ((_let_13 (not _let_9))) (let ((_let_14 (= _let_8 _let_10))) (let ((_let_15 (or _let_14 _let_13 _let_12))) (let ((_let_16 (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 tptp.v_xa))) (let ((_let_17 (or _let_16 _let_9))) (let ((_let_18 (forall ((V_Z_H $$unsorted)) (or (= tptp.v_xa V_Z_H) (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x (tptp.v_xb V_Z_H)))))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (_let_18))) (let ((_let_21 (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 tptp.v_xa))) (let ((_let_22 (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1))) (let ((_let_23 (not _let_16))) (let ((_let_24 (tptp.v_xb tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2))) (let ((_let_25 (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x _let_24))) (let ((_let_26 (or _let_21 _let_25))) (let ((_let_27 (= tptp.v_xa _let_24))) (let ((_let_28 (not _let_25))) (let ((_let_29 (tptp.v_xb _let_24))) (let ((_let_30 (tptp.c_Natural_Oevalc tptp.v_c tptp.v_x _let_29))) (let ((_let_31 (or _let_27 _let_30))) (let ((_let_32 (= _let_24 _let_29))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_27))) (let ((_let_35 (not _let_30))) (let ((_let_36 (or _let_32 _let_28 _let_35))) (let ((_let_37 (_let_24 QUANTIFIERS_INST_ENUM))) (let ((_let_38 (forall ((V_Z_H $$unsorted)) (or (not (= V_Z_H (tptp.v_xb V_Z_H))) (= tptp.v_xa V_Z_H))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (_let_38))) (let ((_let_41 (_let_7))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 (ASSUME :args (_let_4)))) (let ((_let_44 (or))) (let ((_let_45 (MACRO_SR_PRED_INTRO :args ((= (not _let_4) _let_3))))) (let ((_let_46 (FALSE_INTRO _let_43))) (let ((_let_47 (APPLY_UF tptp.c_Natural_Oevalc))) (let ((_let_48 (ASSUME :args (_let_27)))) (let ((_let_49 (REFL :args (tptp.v_x)))) (let ((_let_50 (REFL :args (tptp.v_c)))) (let ((_let_51 (ASSUME :args (_let_25)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_21 (not _let_26)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_43 _let_48 _let_51) :args (_let_4 _let_25 _let_27)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_51)) (CONG _let_50 _let_49 (SYMM _let_48) :args _let_47) _let_46)) :args (_let_4 _let_27 _let_25)) :args ((not (and _let_4 _let_25 _let_27)) SB_LITERAL))) (CONG _let_45 (REFL :args (_let_28)) (REFL :args ((not _let_27))) :args _let_44)) _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_28 _let_32 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_24 _let_29 tptp.v_c tptp.v_x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_41)) _let_42 :args (_let_36 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_27 _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_37) :args _let_40)) _let_39 :args (_let_34 false _let_38)) (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_27 _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args _let_37) :args _let_20)) _let_19 :args (_let_31 false _let_18)) :args ((or _let_28 _let_27) false _let_36 true _let_32 false _let_34 false _let_30 false _let_31)) :args (_let_28 true _let_3 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2 QUANTIFIERS_INST_ENUM)) :args _let_20))) _let_19 :args (_let_26 false _let_18)) :args (_let_21 true _let_25 false _let_26)))) (let ((_let_53 (not _let_22))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_6)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO (MACRO_SR_PRED_TRANSFORM (ASSUME :args (tptp.c_Hoare__Mirabelle_Ostate__not__singleton)) :args ((= tptp.c_Hoare__Mirabelle_Ostate__not__singleton true))) :args ((or _let_53 _let_5) SB_DEFAULT SBA_FIXPOINT)))))) (let ((_let_55 (REFL :args ((not _let_21))))) (let ((_let_56 (and _let_53 _let_16))) (let ((_let_57 (_let_53 _let_16))) (let ((_let_58 (ASSUME :args (_let_16)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_9 _let_16 (not _let_17)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_54 _let_58) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__2)) (SYMM _let_58) :args (=)) (FALSE_INTRO _let_54))) :args _let_57)) :args _let_57)) :args (true _let_56)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_22))) (REFL :args (_let_23)) _let_55 :args _let_44)) _let_54 _let_52 :args (_let_23 true _let_22 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_19 :args (tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__raw__1 QUANTIFIERS_INST_ENUM)) :args _let_20))) _let_19 :args (_let_17 false _let_18)) :args (_let_9 true _let_16 false _let_17)))) (let ((_let_60 (= tptp.v_xa _let_8))) (let ((_let_61 (or _let_60 _let_11))) (let ((_let_62 (_let_8 QUANTIFIERS_INST_ENUM))) (let ((_let_63 (not _let_60))) (let ((_let_64 (ASSUME :args (_let_21)))) (let ((_let_65 (SYMM _let_64))) (let ((_let_66 (ASSUME :args (_let_60)))) (let ((_let_67 (ASSUME :args (_let_9)))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_43 _let_64 _let_66 _let_67) :args (_let_4 _let_9 _let_21 _let_60)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_67)) (CONG _let_50 _let_49 (TRANS (SYMM _let_66) _let_65) :args _let_47) (CONG _let_50 _let_49 (SYMM _let_65) :args _let_47) _let_46)) :args (_let_4 _let_21 _let_60 _let_9)) :args ((not (and _let_4 _let_9 _let_21 _let_60)) SB_LITERAL))) (CONG _let_45 (REFL :args (_let_13)) _let_55 (REFL :args (_let_63)) :args _let_44)) _let_43 _let_59 _let_52 :args (_let_63 true _let_3 false _let_9 false _let_21)))) (let ((_let_69 (not _let_14))) (let ((_let_70 (or _let_69 _let_60))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_13 _let_14 _let_12 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_60 _let_69 (not _let_70)))) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_62) :args _let_40)) _let_39 :args (_let_70 false _let_38)) :args (_let_69 true _let_60 false _let_70)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_11 (not _let_61)))) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args _let_62) :args _let_20)) _let_19 :args (_let_61 false _let_18)) :args (_let_11 true _let_60 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_8 _let_10 tptp.v_c tptp.v_x QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_41)) _let_42 :args (_let_15 false _let_7)) _let_59 :args (false true _let_14 false _let_11 false _let_15 false _let_9)) :args ((forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Fun_Oid V_x T_a) V_x)) (forall ((V_t $$unsorted) (V_s $$unsorted) (V_n $$unsorted)) (or (= V_t V_s) (not (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP V_s V_n V_t)))) (forall ((V_c2 $$unsorted) (V_c1 $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevalc V_c2 (tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 V_c1 V_c2 V_s V_t) V_t) (not (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi V_c1 V_c2) V_s V_t)))) (forall ((V_c1 $$unsorted) (V_s $$unsorted) (V_c2 $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevalc V_c1 V_s (tptp.c_Natural_Osko__Natural__Xevalc__elim__cases__4__1 V_c1 V_c2 V_s V_t)) (not (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi V_c1 V_c2) V_s V_t)))) (forall ((V_c0 $$unsorted) (V_c1 $$unsorted) (V_s0 $$unsorted) (V_n $$unsorted) (V_s2 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OSemi V_c0 V_c1) V_s0 V_n V_s2) (not (tptp.c_Natural_Oevaln V_c1 V_s1 V_n V_s2)) (not (tptp.c_Natural_Oevaln V_c0 V_s0 V_n V_s1)))) (forall ((V_c $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevaln V_c V_s (tptp.c_Natural_Osko__Natural__Xeval__eq__1__1 V_c V_s V_t) V_t) (not (tptp.c_Natural_Oevalc V_c V_s V_t)))) (forall ((V_com1 $$unsorted) (V_com2 $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OSemi V_com1 V_com2) (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H))) (= V_com2 V_com2_H))) (forall ((V_com1 $$unsorted) (V_com2 $$unsorted) (V_com1_H $$unsorted) (V_com2_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OSemi V_com1 V_com2) (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H))) (= V_com1 V_com1_H))) (forall ((V_c2 $$unsorted) (V_c1 $$unsorted) (V_n $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevaln V_c2 (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 V_c1 V_c2 V_n V_s V_t) V_n V_t) (not (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OSemi V_c1 V_c2) V_s V_n V_t)))) (forall ((V_c1 $$unsorted) (V_s $$unsorted) (V_n $$unsorted) (V_c2 $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevaln V_c1 V_s V_n (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__4__1 V_c1 V_c2 V_n V_s V_t)) (not (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OSemi V_c1 V_c2) V_s V_n V_t)))) (forall ((V_s $$unsorted) (V_n $$unsorted)) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP V_s V_n V_s)) (forall ((V_com1_H $$unsorted) (V_com2_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H) tptp.c_Com_Ocom_OSKIP))) (forall ((V_c $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevaln V_c V_s (tptp.c_Natural_Osko__Natural__Xevalc__evaln__1__1 V_c V_s V_t) V_t) (not (tptp.c_Natural_Oevalc V_c V_s V_t)))) (forall ((V_com1_H $$unsorted) (V_com2_H $$unsorted)) (not (= tptp.c_Com_Ocom_OSKIP (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H)))) _let_7 (forall ((V_s $$unsorted)) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP V_s V_s)) (= (tptp.c_Fun_Oid tptp.v_x tptp.t_a) tptp.v_x) _let_6 (forall ((V_x $$unsorted) (V_xa $$unsorted)) (or tptp.c_Hoare__Mirabelle_Ostate__not__singleton (= V_x V_xa))) (forall ((V_t $$unsorted)) (or (not (= (tptp.v_sko__Hoare__Mirabelle__Xsingle__stateE__1 V_t) V_t)) (not tptp.c_Hoare__Mirabelle_Ostate__not__singleton))) (forall ((V_c0 $$unsorted) (V_c1 $$unsorted) (V_s0 $$unsorted) (V_s2 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi V_c0 V_c1) V_s0 V_s2) (not (tptp.c_Natural_Oevalc V_c1 V_s1 V_s2)) (not (tptp.c_Natural_Oevalc V_c0 V_s0 V_s1)))) (or (not (= tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__1 tptp.v_sko__Hoare__Mirabelle__Xstate__not__singleton__def__2)) _let_5) (forall ((V_t $$unsorted) (V_s $$unsorted)) (or (= V_t V_s) (not (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP V_s V_t)))) (forall ((V_c $$unsorted) (V_s $$unsorted) (V_t $$unsorted) (V_n $$unsorted)) (or (tptp.c_Natural_Oevalc V_c V_s V_t) (not (tptp.c_Natural_Oevaln V_c V_s V_n V_t)))) (forall ((V_c $$unsorted) (V_s $$unsorted) (V_t $$unsorted) (V_x $$unsorted)) (or (tptp.c_Natural_Oevalc V_c V_s V_t) (not (tptp.c_Natural_Oevaln V_c V_s V_x V_t)))) tptp.c_Hoare__Mirabelle_Ostate__not__singleton _let_4 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.46/11.00  )
% 10.46/11.00  % SZS output end Proof for SWV864-1
% 10.46/11.01  % cvc5---1.0.5 exiting
% 10.46/11.01  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------