%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV966-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 02:49:51 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 10 unt; 2 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 36 ( 20 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-5 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-4 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f287,axiom,
! [V_P,V_h,V_E,V_e,V_M,V_es,V_T,V_Ts] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrts(V_P,V_h,V_E,V_es,V_Ts)
| c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OCall(V_e,V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_T) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f312,axiom,
! [V_P,T_a,V_T] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(V_P,T_a),V_T),V_T)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f335,axiom,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_esa____,v_Ts____),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f336,axiom,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f337,negated_conjecture,
! [V_x] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),V_x)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),V_x),v_T____)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f694,plain,
! [V_P,V_h,V_E,V_e] :
( ~ c_WellTypeRT_OWTrt(V_P,V_h,V_E,V_e,c_Type_Oty_ONT)
| ! [V_es] :
( ! [V_Ts] : ~ c_WellTypeRT_OWTrts(V_P,V_h,V_E,V_es,V_Ts)
| ! [V_M,V_T] : c_WellTypeRT_OWTrt(V_P,V_h,V_E,c_Expr_Oexp_OCall(V_e,V_M,V_es,tc_List_Olist(tc_String_Ochar)),V_T) ) ),
inference(miniscoping,[status(thm)],[f287]) ).
fof(f695,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrts(X0,X1,X2,X5,X7)
| c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OCall(X3,X4,X5,tc_List_Olist(tc_String_Ochar)),X6) ),
inference(cnf_transformation,[status(thm)],[f694]) ).
fof(f727,plain,
! [X0,X1,X2] : hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,X1),X2),X2)),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f759,plain,
c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_esa____,v_Ts____),
inference(cnf_transformation,[status(thm)],[f335]) ).
fof(f760,plain,
c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT),
inference(cnf_transformation,[status(thm)],[f336]) ).
fof(f761,plain,
! [X0] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),X0)
| ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),X0),v_T____)) ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f765,plain,
~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OCall(v_e_Ha____,v_M____,v_esa____,tc_List_Olist(tc_String_Ochar)),v_T____),
inference(resolution,[status(thm)],[f727,f761]) ).
fof(f900,plain,
! [X0] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT)
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_esa____,X0) ),
inference(resolution,[status(thm)],[f695,f765]) ).
fof(f902,definition,
! [X0] :
( sQ0_spl
<=> ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_esa____,X0) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f903,plain,
! [X0] :
( ~ sQ0_spl
| ~ c_WellTypeRT_OWTrts(v_P,v_h_Ha____,v_E____,v_esa____,X0) ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,definition,
( sQ1_spl
<=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f907,plain,
( sQ1_spl
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,v_e_Ha____,c_Type_Oty_ONT) ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f900,f902,f905]) ).
fof(f909,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f759,f903]) ).
fof(f911,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f909]) ).
fof(f912,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f907,f760]) ).
fof(f913,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f912]) ).
fof(f914,plain,
$false,
inference(sat_refutation,[status(thm)],[f908,f911,f913]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV966-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 09:36:43 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.39 % Drodi V4.1.1
% 0.13/0.43 % Refutation found
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.46 % Elapsed time: 0.091807 seconds
% 0.13/0.46 % CPU time: 0.338160 seconds
% 0.13/0.46 % Total memory used: 110.459 MB
% 0.13/0.46 % Net memory used: 110.233 MB
%------------------------------------------------------------------------------