%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV954-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:49:50 PM UTC 2026
% Result : Unsatisfiable 0.29s 0.85s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 10 unt; 4 def)
% Number of atoms : 58 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 27 ~; 23 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 6 prp; 0-5 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-7 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f264,axiom,
! [V_P,V_h,V_E,V_v,V_D,V_F,V_e,V_T] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D,V_E,V_F,V_P,V_e,V_h,V_v))
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E,V_P,V_h,V_v)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f359,axiom,
v_T____ = c_Type_Oty_OVoid,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f379,axiom,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f383,axiom,
! [V_T_092_060_094isub_0622] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,V_T_092_060_094isub_0622)
| v_thesis____ ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f385,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f776,plain,
! [V_P,V_h,V_E,V_v,V_D,V_F,V_e] :
( ! [V_T] : ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OFAss(V_e,V_F,V_D,V_v,tc_List_Olist(tc_String_Ochar)),V_T)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(V_D,V_E,V_F,V_P,V_e,V_h,V_v))
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_v,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(V_E,V_P,V_h,V_v)) ),
inference(miniscoping,[status(thm)],[f264]) ).
fof(f777,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X6,X5,X4,X3,tc_List_Olist(tc_String_Ochar)),X7)
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X4,X2,X5,X0,X6,X1,X3))
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(X2,X0,X1,X3)) ),
inference(cnf_transformation,[status(thm)],[f776]) ).
fof(f938,plain,
v_T____ = c_Type_Oty_OVoid,
inference(cnf_transformation,[status(thm)],[f359]) ).
fof(f971,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(cnf_transformation,[status(thm)],[f379]) ).
fof(f977,plain,
( ! [V_T_092_060_094isub_0622] : ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,V_T_092_060_094isub_0622)
| v_thesis____ ),
inference(miniscoping,[status(thm)],[f383]) ).
fof(f978,plain,
! [X0] :
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| v_thesis____ ),
inference(cnf_transformation,[status(thm)],[f977]) ).
fof(f980,plain,
~ v_thesis____,
inference(cnf_transformation,[status(thm)],[f385]) ).
fof(f999,definition,
( sQ0_spl
<=> v_thesis____ ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f1000,plain,
( ~ sQ0_spl
| v_thesis____ ),
inference(component_clause,[status(thm)],[f999]) ).
fof(f1002,definition,
! [X0] :
( sQ1_spl
<=> ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f1003,plain,
! [X0] :
( ~ sQ1_spl
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0) ),
inference(component_clause,[status(thm)],[f1002]) ).
fof(f1005,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f978,f999,f1002]) ).
fof(f1008,plain,
c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(v_ea____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),c_Type_Oty_OVoid),
inference(forward_demodulation,[status(thm)],[f938,f971]) ).
fof(f1010,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1000,f980]) ).
fof(f1011,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1028,plain,
! [X0,X1,X2,X3] :
( ~ sQ1_spl
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(X0,X1,X2,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X3)
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____,v_P,v_ha____,v_e_092_060_094isub_0622____)) ),
inference(resolution,[status(thm)],[f777,f1003]) ).
fof(f1029,definition,
( sQ5_spl
<=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____,v_P,v_ha____,v_e_092_060_094isub_0622____)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f1030,plain,
( ~ sQ5_spl
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__4(v_E____,v_P,v_ha____,v_e_092_060_094isub_0622____)) ),
inference(component_clause,[status(thm)],[f1029]) ).
fof(f1032,definition,
! [X0,X1,X2,X3] :
( sQ6_spl
<=> ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(X0,X1,X2,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
! [X0,X1,X2,X3] :
( ~ sQ6_spl
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,c_Expr_Oexp_OFAss(X0,X1,X2,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X3) ),
inference(component_clause,[status(thm)],[f1032]) ).
fof(f1035,plain,
( ~ sQ1_spl
| sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f1028,f1029,f1032,f1002]) ).
fof(f1036,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1030,f1003]) ).
fof(f1037,plain,
( ~ sQ5_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f1036]) ).
fof(f1038,plain,
( ~ sQ6_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f1008,f1033]) ).
fof(f1039,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f1038]) ).
fof(f1040,plain,
$false,
inference(sat_refutation,[status(thm)],[f1005,f1011,f1035,f1037,f1039]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV954-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n019.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 09:34:35 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.15/0.51 % Drodi V4.1.1
% 0.29/0.85 % Refutation found
% 0.29/0.85 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.29/0.85 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.50/0.92 % Elapsed time: 0.545075 seconds
% 0.50/0.92 % CPU time: 2.825288 seconds
% 0.50/0.92 % Total memory used: 212.307 MB
% 0.50/0.92 % Net memory used: 211.032 MB
%------------------------------------------------------------------------------