%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWV888-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n003.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 21:53:40 EDT 2023

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SWV888-1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n003.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 05:23:56 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.UBxozu37sy/cvc5---1.0.5_29108.p...
% 0.21/0.51  ------- get file name : TPTP file name is SWV888-1
% 0.21/0.51  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29108.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.55  % SZS status Unsatisfiable for SWV888-1
% 0.21/0.55  % SZS output start Proof for SWV888-1
% 0.21/0.55  (
% 0.21/0.55  (let ((_let_1 (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY tptp.v_pn) tptp.v_x tptp.v_xa))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody tptp.v_pn) tptp.tc_Com_Ocom) tptp.v_x tptp.v_xa))) (let ((_let_4 (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_s1)))))) (let ((_let_5 (not _let_3))) (let ((_let_6 (or _let_1 _let_5))) (let ((_let_7 (_let_4))) (let ((_let_8 (ASSUME :args _let_7))) (let ((_let_9 (not _let_6))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_8 :args (tptp.v_pn tptp.v_x tptp.v_xa QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_pn) V_s0 V_s1) true))))) :args _let_7)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_6)) :args ((or _let_1 _let_5 _let_9))) (ASSUME :args (_let_2)) (ASSUME :args (_let_3)) :args (_let_9 true _let_1 false _let_3)) _let_8 :args (false true _let_6 false _let_4)) :args ((forall ((V_x $$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_v $$unsorted) (T_a $$unsorted)) (or (= V_v (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xoption__Xnchotomy__1__1 V_v T_a) T_a)) (= V_v (tptp.c_Option_Ooption_ONone T_a)))) (forall ((V_n $$unsorted) (V_P $$unsorted) (V_s $$unsorted) (V_s1 $$unsorted)) (or (= V_n (tptp.c_Suc (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 V_P V_n V_s V_s1))) (not (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OBODY V_P) V_s V_n V_s1)))) (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)))) (tptp.c_Com_OWT tptp.c_Com_Ocom_OSKIP) (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 ((T_a $$unsorted) (V_a_H $$unsorted)) (not (= (tptp.c_Option_Ooption_ONone T_a) (tptp.c_Option_Ooption_OSome V_a_H T_a)))) (forall ((T_a $$unsorted) (V_y $$unsorted)) (not (= (tptp.c_Option_Ooption_ONone T_a) (tptp.c_Option_Ooption_OSome V_y T_a)))) (forall ((V_c $$unsorted) (V_s $$unsorted) (V_t $$unsorted)) (or (tptp.c_Natural_Oevaln V_c V_s (tptp.c_Natural_Osko__Natural__Xeval__eq__1__1 V_c V_s V_t) V_t) (not (tptp.c_Natural_Oevalc V_c V_s V_t)))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (= V_x (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xnot__None__eq__1__1 V_x T_a) T_a)) (= V_x (tptp.c_Option_Ooption_ONone T_a)))) (forall ((V_com1 $$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 $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OSemi V_com1 V_com2) (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H))) (= V_com1 V_com1_H))) (forall ((V_a_H $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Option_Ooption_OSome V_a_H T_a) (tptp.c_Option_Ooption_ONone T_a)))) (forall ((V_xa $$unsorted) (T_a $$unsorted)) (not (= (tptp.c_Option_Ooption_OSome V_xa T_a) (tptp.c_Option_Ooption_ONone T_a)))) (forall ((V_a $$unsorted) (T_a $$unsorted) (V_a_H $$unsorted)) (or (not (= (tptp.c_Option_Ooption_OSome V_a T_a) (tptp.c_Option_Ooption_OSome V_a_H T_a))) (= V_a V_a_H))) (forall ((V_x $$unsorted) (V_y $$unsorted)) (or (not (= (tptp.c_Suc V_x) (tptp.c_Suc V_y))) (= V_x V_y))) (forall ((V_nat $$unsorted) (V_nat_H $$unsorted)) (or (not (= (tptp.c_Suc V_nat) (tptp.c_Suc V_nat_H))) (= V_nat V_nat_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_c $$unsorted) (V_s $$unsorted) (V_n $$unsorted) (V_s_H $$unsorted)) (or (tptp.c_Natural_Oevaln V_c V_s (tptp.c_Suc V_n) V_s_H) (not (tptp.c_Natural_Oevaln V_c V_s V_n V_s_H)))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (or (= V_x (tptp.c_Option_Ooption_ONone T_a)) (= V_x (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xnot__Some__eq__1__1 V_x T_a) T_a)))) (forall ((V_s $$unsorted) (V_n $$unsorted)) (tptp.c_Natural_Oevaln tptp.c_Com_Ocom_OSKIP V_s V_n V_s)) (forall ((V_c2 $$unsorted) (V_c1 $$unsorted)) (or (tptp.c_Com_OWT V_c2) (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi V_c1 V_c2))))) (forall ((V_c1 $$unsorted) (V_c2 $$unsorted)) (or (tptp.c_Com_OWT V_c1) (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi V_c1 V_c2))))) (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 $$unsorted)) (or (tptp.c_Natural_Oevaln V_c V_s (tptp.c_Natural_Osko__Natural__Xevalc__evaln__1__1 V_c V_s V_t) V_t) (not (tptp.c_Natural_Oevalc V_c V_s V_t)))) (forall ((V_c0 $$unsorted) (V_c1 $$unsorted)) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OSemi V_c0 V_c1)) (not (tptp.c_Com_OWT V_c1)) (not (tptp.c_Com_OWT V_c0)))) (forall ((V_pn $$unsorted) (V_b $$unsorted)) (or (not (= (tptp.c_Com_Obody V_pn) (tptp.c_Option_Ooption_OSome V_b tptp.tc_Com_Ocom))) (not tptp.c_Com_OWT__bodies) (tptp.c_Com_OWT V_b))) (forall ((V_n $$unsorted)) (not (= (tptp.c_Suc V_n) V_n))) (forall ((V_n $$unsorted)) (not (= V_n (tptp.c_Suc V_n)))) (forall ((V_y $$unsorted) (T_a $$unsorted)) (or (= V_y (tptp.c_Option_Ooption_OSome (tptp.c_ATP__Linkup_Osko__Option__Xoption__Xexhaust__1__1 V_y T_a) T_a)) (= V_y (tptp.c_Option_Ooption_ONone T_a)))) (forall ((V_com1_H $$unsorted) (V_com2_H $$unsorted)) (not (= tptp.c_Com_Ocom_OSKIP (tptp.c_Com_Ocom_OSemi V_com1_H V_com2_H)))) (forall ((V_x $$unsorted) (T_a $$unsorted)) (= (tptp.c_Option_Othe (tptp.c_Option_Ooption_OSome V_x T_a) T_a) V_x)) (forall ((V_pn $$unsorted)) (or (tptp.c_Com_OWT (tptp.c_Com_Ocom_OBODY V_pn)) (= (tptp.c_Com_Obody V_pn) (tptp.c_Option_Ooption_ONone tptp.tc_Com_Ocom)))) (forall ((V_pname_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OBODY V_pname_H) tptp.c_Com_Ocom_OSKIP))) _let_4 (forall ((V_P $$unsorted) (V_s $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Option_Othe (tptp.c_Com_Obody V_P) tptp.tc_Com_Ocom) V_s V_s1) (not (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OBODY V_P) V_s V_s1)))) (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)))) (forall ((V_s $$unsorted)) (tptp.c_Natural_Oevalc tptp.c_Com_Ocom_OSKIP V_s V_s)) (= (tptp.c_Fun_Oid tptp.v_x tptp.t_a) tptp.v_x) (forall ((V_P $$unsorted) (V_s $$unsorted) (V_n $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevaln (tptp.c_Option_Othe (tptp.c_Com_Obody V_P) tptp.tc_Com_Ocom) V_s (tptp.c_Natural_Osko__Natural__Xevaln__elim__cases__6__1 V_P V_n V_s V_s1) V_s1) (not (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OBODY V_P) V_s V_n V_s1)))) (forall ((V_P $$unsorted)) (or (= (tptp.c_Com_Obody V_P) (tptp.c_Option_Ooption_OSome (tptp.c_Com_Osko__Com__XWTs__elim__cases__7__1 V_P) tptp.tc_Com_Ocom)) (not (tptp.c_Com_OWT (tptp.c_Com_Ocom_OBODY V_P))))) (forall ((V_pname_H $$unsorted) (V_com1 $$unsorted) (V_com2 $$unsorted)) (not (= (tptp.c_Com_Ocom_OBODY V_pname_H) (tptp.c_Com_Ocom_OSemi V_com1 V_com2)))) (forall ((V_com1 $$unsorted) (V_com2 $$unsorted) (V_pname_H $$unsorted)) (not (= (tptp.c_Com_Ocom_OSemi V_com1 V_com2) (tptp.c_Com_Ocom_OBODY V_pname_H)))) (forall ((V_c0 $$unsorted) (V_c1 $$unsorted) (V_s0 $$unsorted) (V_s2 $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevalc (tptp.c_Com_Ocom_OSemi V_c0 V_c1) V_s0 V_s2) (not (tptp.c_Natural_Oevalc V_c1 V_s1 V_s2)) (not (tptp.c_Natural_Oevalc V_c0 V_s0 V_s1)))) (forall ((V_pn $$unsorted) (V_s0 $$unsorted) (V_n $$unsorted) (V_s1 $$unsorted)) (or (tptp.c_Natural_Oevaln (tptp.c_Com_Ocom_OBODY V_pn) V_s0 (tptp.c_Suc V_n) V_s1) (not (tptp.c_Natural_Oevaln (tptp.c_Option_Othe (tptp.c_Com_Obody V_pn) tptp.tc_Com_Ocom) V_s0 V_n V_s1)))) (forall ((V_pname $$unsorted) (V_pname_H $$unsorted)) (or (not (= (tptp.c_Com_Ocom_OBODY V_pname) (tptp.c_Com_Ocom_OBODY V_pname_H))) (= V_pname V_pname_H))) (forall ((V_pname_H $$unsorted)) (not (= tptp.c_Com_Ocom_OSKIP (tptp.c_Com_Ocom_OBODY V_pname_H)))) (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)))) _let_3 _let_2))))))))))))
% 0.21/0.55  )
% 0.21/0.55  % SZS output end Proof for SWV888-1
% 0.21/0.56  % cvc5---1.0.5 exiting
% 0.21/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------