%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV959-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 : Tue Sep 29 01:19:52 PM UTC 2026
% Result : Unsatisfiable 5.63s 1.40s
% Output : Refutation 5.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 23
% Syntax : Number of formulae : 100 ( 23 unt; 13 def)
% Number of atoms : 234 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 251 ( 117 ~; 129 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-6 aty)
% Number of functors : 31 ( 31 usr; 18 con; 0-8 aty)
% Number of variables : 82 ( 0 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X5,X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X4,X2,X5,X0,X3,X1,X6)))
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_4) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X5,X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
| c_TypeRel_Ohas__field(X0,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(X4,X2,X5,X0,X3,X1,X6),X5,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X4,X2,X5,X0,X3,X1,X6),X4,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_7) ).
fof(f382,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X5,X4,X6,tc_List_Olist(tc_String_Ochar)),X7)
| hBOOL(hAPP(hAPP(c_TypeRel_Owiden(X0,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X4,X2,X5,X0,X3,X1,X6)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(X4,X2,X5,X0,X3,X1,X6)))
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_13) ).
fof(f423,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_WellTypeRT_OWTrt(X0,X1,X2,c_Expr_Oexp_OFAss(X3,X6,X5,X4,tc_List_Olist(tc_String_Ochar)),X7)
| c_WellTypeRT_OWTrt(X0,X1,X2,X4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(X5,X2,X6,X0,X3,X1,X4))
| c_WellTypeRT_OWTrt(X0,X1,X2,X3,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_WTrt__elim__cases_I8_J_10) ).
fof(f452,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',cls_CHAINED_0) ).
fof(f453,axiom,
! [X2,X0,X1] :
( 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_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
| ~ 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),X1))
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f454,axiom,
! [X2,X0,X1] :
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ 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),X1))
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f455,axiom,
( 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_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_1_02) ).
fof(f456,axiom,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f457,negated_conjecture,
! [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____))
| ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f478,definition,
sF0 = tc_List_Olist(tc_String_Ochar),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f479,plain,
tc_List_Olist(tc_String_Ochar) = sF0,
inference(reorient_equations,[],[f478]) ).
fof(f480,definition,
sF1 = tc_List_Olist(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f481,plain,
tc_List_Olist(sF0) = sF1,
inference(reorient_equations,[],[f480]) ).
fof(f482,definition,
sF2 = tc_Expr_Oexp(sF0),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f483,plain,
tc_Expr_Oexp(sF0) = sF2,
inference(reorient_equations,[],[f482]) ).
fof(f484,definition,
sF3 = tc_prod(sF1,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f485,plain,
tc_prod(sF1,sF2) = sF3,
inference(reorient_equations,[],[f484]) ).
fof(f486,definition,
sF4 = c_TypeRel_Owiden(v_P,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f487,plain,
c_TypeRel_Owiden(v_P,sF3) = sF4,
inference(reorient_equations,[],[f486]) ).
fof(f488,definition,
! [X0] : sF5(X0) = hAPP(sF4,X0),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f489,plain,
! [X0] : hAPP(sF4,X0) = sF5(X0),
inference(reorient_equations,[],[f488]) ).
fof(f490,definition,
! [X0] : sF6(X0) = hAPP(sF5(X0),v_T____),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f491,plain,
! [X0] : hAPP(sF5(X0),v_T____) = sF6(X0),
inference(reorient_equations,[],[f490]) ).
fof(f492,definition,
sF7 = c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,sF0),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f493,plain,
c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,sF0) = sF7,
inference(reorient_equations,[],[f492]) ).
fof(f494,plain,
! [X0] :
( ~ c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,sF7,X0)
| ~ hBOOL(sF6(X0)) ),
inference(definition_folding,[],[f457,f493,f479,f491,f489,f487,f485,f483,f479,f481,f479]) ).
fof(f497,definition,
( spl8_1
<=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f499,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT)
| spl8_1 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f501,definition,
( spl8_2
<=> c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f503,plain,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,tc_List_Olist(tc_String_Ochar)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f504,plain,
( ~ spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f456,f501,f497]) ).
fof(f506,definition,
( spl8_3
<=> 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_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____)) ),
introduced(definition,[new_symbols(definition,[spl8_3])],[avatar_definition]) ).
fof(f508,plain,
( 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_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
| ~ spl8_3 ),
inference(avatar_component_clause,[],[f506]) ).
fof(f509,plain,
( ~ spl8_1
| spl8_3 ),
inference(avatar_split_clause,[],[f455,f506,f497]) ).
fof(f511,definition,
( spl8_4
<=> ! [X2,X0,X1] :
( ~ 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),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) ) ),
introduced(definition,[new_symbols(definition,[spl8_4])],[avatar_definition]) ).
fof(f512,plain,
( ! [X2,X0,X1] :
( ~ 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),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) )
| ~ spl8_4 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f513,plain,
( spl8_4
| spl8_2 ),
inference(avatar_split_clause,[],[f454,f501,f511]) ).
fof(f514,plain,
( spl8_4
| spl8_3 ),
inference(avatar_split_clause,[],[f453,f506,f511]) ).
fof(f521,plain,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,c_Expr_Oexp_OFAss(v_e_Ha____,v_F____,v_D____,v_e_092_060_094isub_0622____,sF0),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ spl8_2 ),
inference(forward_demodulation,[],[f503,f479]) ).
fof(f522,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(sF0),tc_Expr_Oexp(sF0))),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
| ~ spl8_3 ),
inference(forward_demodulation,[],[f508,f479]) ).
fof(f523,plain,
( c_WellTypeRT_OWTrt(v_P,v_h_Ha____,v_E____,sF7,v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____))
| ~ spl8_2 ),
inference(forward_demodulation,[],[f521,f493]) ).
fof(f524,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(sF0),sF2)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
| ~ spl8_3 ),
inference(forward_demodulation,[],[f522,f483]) ).
fof(f525,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(sF1,sF2)),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
| ~ spl8_3 ),
inference(forward_demodulation,[],[f524,f481]) ).
fof(f526,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,sF3),v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
| ~ spl8_3 ),
inference(forward_demodulation,[],[f525,f485]) ).
fof(f527,plain,
( hBOOL(hAPP(hAPP(sF4,v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
| ~ spl8_3 ),
inference(forward_demodulation,[],[f526,f487]) ).
fof(f528,plain,
( hBOOL(hAPP(sF5(v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)),v_T____))
| ~ spl8_3 ),
inference(forward_demodulation,[],[f527,f489]) ).
fof(f529,plain,
( hBOOL(sF6(v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)))
| ~ spl8_3 ),
inference(forward_demodulation,[],[f528,f491]) ).
fof(f530,plain,
( ~ hBOOL(sF6(v_sko__CHAINED__1(v_D____,v_E____,v_F____,v_P,v_T____,v_e_Ha____,v_e_092_060_094isub_0622____,v_h_Ha____)))
| ~ spl8_2 ),
inference(resolution,[],[f494,f523]) ).
fof(f531,plain,
( $false
| ~ spl8_2
| ~ spl8_3 ),
inference(forward_subsumption_resolution,[],[f530,f529]) ).
fof(f532,plain,
( ~ spl8_2
| ~ spl8_3 ),
inference(avatar_contradiction_clause,[],[f531]) ).
fof(f534,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(sF0),tc_Expr_Oexp(sF0))),X0),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) )
| ~ spl8_4 ),
inference(forward_demodulation,[],[f512,f479]) ).
fof(f536,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(sF0),sF2)),X0),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) )
| ~ spl8_4 ),
inference(forward_demodulation,[],[f534,f483]) ).
fof(f537,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(sF1,sF2)),X0),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) )
| ~ spl8_4 ),
inference(forward_demodulation,[],[f536,f481]) ).
fof(f538,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,sF3),X0),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) )
| ~ spl8_4 ),
inference(forward_demodulation,[],[f537,f485]) ).
fof(f539,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF4,X0),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) )
| ~ spl8_4 ),
inference(forward_demodulation,[],[f538,f487]) ).
fof(f540,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(hAPP(sF5(X0),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0)
| ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar)))) )
| ~ spl8_4 ),
inference(forward_demodulation,[],[f539,f489]) ).
fof(f541,plain,
( ! [X2,X0,X1] :
( ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(sF0),tc_Expr_Oexp(sF0)))
| ~ hBOOL(hAPP(sF5(X0),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0) )
| ~ spl8_4 ),
inference(forward_demodulation,[],[f540,f479]) ).
fof(f542,plain,
( ! [X2,X0,X1] :
( ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(tc_List_Olist(sF0),sF2))
| ~ hBOOL(hAPP(sF5(X0),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0) )
| ~ spl8_4 ),
inference(forward_demodulation,[],[f541,f483]) ).
fof(f543,plain,
( ! [X2,X0,X1] :
( ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,tc_prod(sF1,sF2))
| ~ hBOOL(hAPP(sF5(X0),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0) )
| ~ spl8_4 ),
inference(forward_demodulation,[],[f542,f481]) ).
fof(f544,plain,
( ! [X2,X0,X1] :
( ~ c_TypeRel_Ohas__field(v_P,X2,v_F____,X1,v_D____,sF3)
| ~ hBOOL(hAPP(sF5(X0),X1))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(X2))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0) )
| ~ spl8_4 ),
inference(forward_demodulation,[],[f543,f485]) ).
fof(f558,definition,
( spl8_6
<=> c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)) ),
introduced(definition,[new_symbols(definition,[spl8_6])],[avatar_definition]) ).
fof(f560,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))
| ~ spl8_6 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f566,plain,
( 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)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolution,[],[f382,f452]) ).
fof(f569,plain,
( 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)))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f566,f499]) ).
fof(f571,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(sF0),tc_Expr_Oexp(sF0))),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| spl8_1 ),
inference(forward_demodulation,[],[f569,f479]) ).
fof(f573,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(tc_List_Olist(sF0),sF2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| spl8_1 ),
inference(forward_demodulation,[],[f571,f483]) ).
fof(f574,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,tc_prod(sF1,sF2)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| spl8_1 ),
inference(forward_demodulation,[],[f573,f481]) ).
fof(f575,plain,
( hBOOL(hAPP(hAPP(c_TypeRel_Owiden(v_P,sF3),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| spl8_1 ),
inference(forward_demodulation,[],[f574,f485]) ).
fof(f576,plain,
( hBOOL(hAPP(hAPP(sF4,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| spl8_1 ),
inference(forward_demodulation,[],[f575,f487]) ).
fof(f577,plain,
( hBOOL(hAPP(sF5(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| spl8_1 ),
inference(forward_demodulation,[],[f576,f489]) ).
fof(f585,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolution,[],[f1,f452]) ).
fof(f587,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f585,f499]) ).
fof(f695,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolution,[],[f423,f452]) ).
fof(f697,plain,
( c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f695,f499]) ).
fof(f698,plain,
( spl8_6
| spl8_1 ),
inference(avatar_split_clause,[],[f697,f497,f558]) ).
fof(f719,plain,
( c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_ONT) ),
inference(resolution,[],[f8,f452]) ).
fof(f722,plain,
( c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,tc_prod(tc_List_Olist(tc_List_Olist(tc_String_Ochar)),tc_Expr_Oexp(tc_List_Olist(tc_String_Ochar))))
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f719,f499]) ).
fof(f724,plain,
( c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,tc_prod(tc_List_Olist(sF0),tc_Expr_Oexp(sF0)))
| spl8_1 ),
inference(forward_demodulation,[],[f722,f479]) ).
fof(f726,plain,
( c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,tc_prod(tc_List_Olist(sF0),sF2))
| spl8_1 ),
inference(forward_demodulation,[],[f724,f483]) ).
fof(f727,plain,
( c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,tc_prod(sF1,sF2))
| spl8_1 ),
inference(forward_demodulation,[],[f726,f481]) ).
fof(f728,plain,
( c_TypeRel_Ohas__field(v_P,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_F____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____),v_D____,sF3)
| spl8_1 ),
inference(forward_demodulation,[],[f727,f485]) ).
fof(f729,plain,
( ! [X0] :
( ~ hBOOL(hAPP(sF5(X0),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_ea____,c_Type_Oty_OClass(c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__1(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0) )
| spl8_1
| ~ spl8_4 ),
inference(resolution,[],[f728,f544]) ).
fof(f731,plain,
( ! [X0] :
( ~ hBOOL(hAPP(sF5(X0),c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__2(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____)))
| ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,X0) )
| spl8_1
| ~ spl8_4 ),
inference(forward_subsumption_resolution,[],[f729,f587]) ).
fof(f732,plain,
( ~ c_WellTypeRT_OWTrt(v_P,v_ha____,v_E____,v_e_092_060_094isub_0622____,c_WellTypeRT_Osko__WellTypeRT__XWTrt__elim__cases__8__3(v_D____,v_E____,v_F____,v_P,v_ea____,v_ha____,v_e_092_060_094isub_0622____))
| spl8_1
| ~ spl8_4 ),
inference(resolution,[],[f731,f577]) ).
fof(f734,plain,
( $false
| spl8_1
| ~ spl8_4
| ~ spl8_6 ),
inference(forward_subsumption_resolution,[],[f732,f560]) ).
fof(f735,plain,
( spl8_1
| ~ spl8_4
| ~ spl8_6 ),
inference(avatar_contradiction_clause,[],[f734]) ).
cnf(s1,plain,
( ~ spl8_1
| spl8_2 ),
inference(sat_conversion,[],[f504]) ).
cnf(s2,plain,
( ~ spl8_1
| spl8_3 ),
inference(sat_conversion,[],[f509]) ).
cnf(s3,plain,
( spl8_2
| spl8_4 ),
inference(sat_conversion,[],[f513]) ).
cnf(s4,plain,
( spl8_3
| spl8_4 ),
inference(sat_conversion,[],[f514]) ).
cnf(s5,plain,
( ~ spl8_2
| ~ spl8_3 ),
inference(sat_conversion,[],[f532]) ).
cnf(s10,plain,
( spl8_1
| spl8_6 ),
inference(sat_conversion,[],[f698]) ).
cnf(s12,plain,
( spl8_1
| ~ spl8_4
| ~ spl8_6 ),
inference(sat_conversion,[],[f735]) ).
cnf(s13,plain,
spl8_4,
inference(rat,[],[s5,s3,s4]) ).
cnf(s14,plain,
spl8_1,
inference(rat,[],[s12,s10,s13]) ).
cnf(s15,plain,
spl8_3,
inference(rat,[],[s2,s14]) ).
cnf(s16,plain,
spl8_2,
inference(rat,[],[s1,s14]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s5,s15,s16]) ).
fof(f736,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV959-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n019.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 13:02:04 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.36/1.40 % (3982399)Input is clausal, will run a generic CNF schedule.
% 4.36/1.40 % (3982404)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2655798079:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.36/1.40 % (3982409)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3297583511:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.36/1.40 % (3982407)lrs+10_1_sil=8000:sp=occurrence:random_seed=1420490282:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.36/1.40 % (3982405)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=802937859:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.36/1.40 % (3982406)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2825304937:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.36/1.40 % (3982408)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1317698602:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.36/1.40 % (3982410)dis-21_1_sil=8000:lcm=predicate:random_seed=165472684:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.36/1.40 % (3982410)Instruction limit reached!
% 4.36/1.40 % (3982410)------------------------------
% 4.36/1.40 % (3982410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.40 % (3982410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.40 % (3982410)CaDiCaL version: 2.1.3
% 4.36/1.40 % (3982410)Termination reason: Instruction limit
% 4.36/1.40 % (3982410)Termination phase: Saturation
% 4.36/1.40 % (3982410)Time elapsed: 0.055 s
% 4.36/1.40 % (3982410)Peak memory usage: 88 MB
% 4.36/1.40 % (3982410)Instructions burned: 117 (million)
% 4.36/1.40 % (3982407)Instruction limit reached!
% 4.36/1.40 % (3982407)------------------------------
% 4.36/1.40 % (3982407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.40 % (3982407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.40 % (3982407)CaDiCaL version: 2.1.3
% 4.36/1.40 % (3982407)Termination reason: Instruction limit
% 4.36/1.40 % (3982407)Termination phase: Saturation
% 4.36/1.40 % (3982407)Time elapsed: 0.066 s
% 4.36/1.40 % (3982407)Peak memory usage: 89 MB
% 4.36/1.40 % (3982407)Instructions burned: 108 (million)
% 4.36/1.40 % (3982408)Instruction limit reached!
% 4.36/1.40 % (3982408)------------------------------
% 4.36/1.40 % (3982408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.40 % (3982408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.36/1.40 % (3982408)CaDiCaL version: 2.1.3
% 4.36/1.40 % (3982408)Termination reason: Instruction limit
% 4.36/1.40 % (3982408)Termination phase: Saturation
% 4.36/1.40 % (3982408)Time elapsed: 0.069 s
% 4.36/1.40 % (3982408)Peak memory usage: 88 MB
% 4.36/1.40 % (3982408)Instructions burned: 115 (million)
% 4.36/1.40 % (3982409)Instruction limit reached!
% 4.36/1.40 % (3982409)------------------------------
% 4.36/1.40 % (3982409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.36/1.40 % (3982409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.40 % (3982409)CaDiCaL version: 2.1.3
% 5.63/1.40 % (3982409)Termination reason: Instruction limit
% 5.63/1.40 % (3982409)Termination phase: Saturation
% 5.63/1.40 % (3982409)Time elapsed: 0.105 s
% 5.63/1.40 % (3982409)Peak memory usage: 90 MB
% 5.63/1.40 % (3982409)Instructions burned: 181 (million)
% 5.63/1.40 % (3982418)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3081794510:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.63/1.40 % (3982418)Refutation not found, incomplete strategy
% 5.63/1.40 % (3982418)------------------------------
% 5.63/1.40 % (3982418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.40 % (3982418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.40 % (3982418)CaDiCaL version: 2.1.3
% 5.63/1.40 % (3982418)Termination reason: Refutation not found, incomplete strategy
% 5.63/1.40 % (3982418)Time elapsed: 0.004 s
% 5.63/1.40 % (3982418)Peak memory usage: 88 MB
% 5.63/1.40 % (3982418)Instructions burned: 5 (million)
% 5.63/1.40 % (3982420)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3559721510:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.63/1.40 % (3982419)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4002458101:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 5.63/1.40 % (3982421)lrs+10_64_to=lpo:sil=8000:random_seed=4005306174:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 5.63/1.40 % (3982419)Instruction limit reached!
% 5.63/1.40 % (3982419)------------------------------
% 5.63/1.40 % (3982419)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.40 % (3982419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.40 % (3982419)CaDiCaL version: 2.1.3
% 5.63/1.40 % (3982419)Termination reason: Instruction limit
% 5.63/1.40 % (3982419)Termination phase: Saturation
% 5.63/1.40 % (3982419)Time elapsed: 0.083 s
% 5.63/1.40 % (3982419)Peak memory usage: 89 MB
% 5.63/1.40 % (3982419)Instructions burned: 191 (million)
% 5.63/1.40 % (3982421)Instruction limit reached!
% 5.63/1.40 % (3982421)------------------------------
% 5.63/1.40 % (3982421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.40 % (3982421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.40 % (3982421)CaDiCaL version: 2.1.3
% 5.63/1.40 % (3982421)Termination reason: Instruction limit
% 5.63/1.40 % (3982421)Termination phase: Saturation
% 5.63/1.40 % (3982421)Time elapsed: 0.071 s
% 5.63/1.40 % (3982421)Peak memory usage: 90 MB
% 5.63/1.40 % (3982421)Instructions burned: 127 (million)
% 5.63/1.40 % (3982420)Instruction limit reached!
% 5.63/1.40 % (3982420)------------------------------
% 5.63/1.40 % (3982420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.40 % (3982420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.40 % (3982420)CaDiCaL version: 2.1.3
% 5.63/1.40 % (3982420)Termination reason: Instruction limit
% 5.63/1.40 % (3982420)Termination phase: Saturation
% 5.63/1.40 % (3982420)Time elapsed: 0.117 s
% 5.63/1.40 % (3982420)Peak memory usage: 89 MB
% 5.63/1.40 % (3982420)Instructions burned: 220 (million)
% 5.63/1.40 % (3982426)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=231618593:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.63/1.40 % (3982404)First to succeed.
% 5.63/1.40 % (3982404)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3982399"
% 5.63/1.40 % (3982418)------------------------------
% 5.63/1.40 % (3982418)------------------------------
% 5.63/1.40 % (3982427)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=283394515:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 5.63/1.40 % (3982428)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3670285040:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 5.63/1.40 % (3982426)Instruction limit reached!
% 5.63/1.40 % (3982426)------------------------------
% 5.63/1.40 % (3982426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.40 % (3982426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.40 % (3982426)CaDiCaL version: 2.1.3
% 5.63/1.40 % (3982426)Termination reason: Instruction limit
% 5.63/1.40 % (3982426)Termination phase: Saturation
% 5.63/1.40 % (3982426)Time elapsed: 0.122 s
% 5.63/1.40 % (3982426)Peak memory usage: 91 MB
% 5.63/1.40 % (3982426)Instructions burned: 195 (million)
% 5.63/1.40 % (3982427)Instruction limit reached!
% 5.63/1.40 % (3982427)------------------------------
% 5.63/1.40 % (3982427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.40 % (3982427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.40 % (3982427)CaDiCaL version: 2.1.3
% 5.63/1.40 % (3982427)Termination reason: Instruction limit
% 5.63/1.40 % (3982427)Termination phase: Saturation
% 5.63/1.40 % (3982427)Time elapsed: 0.100 s
% 5.63/1.40 % (3982427)Peak memory usage: 91 MB
% 5.63/1.40 % (3982427)Instructions burned: 158 (million)
% 5.63/1.40 % (3982404)Refutation found. Thanks to Tanya!
% 5.63/1.40 % SZS status Unsatisfiable for theBenchmark
% 5.63/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 5.73/1.59 % (3982404)------------------------------
% 5.73/1.59 % (3982404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.73/1.59 % (3982404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.73/1.59 % (3982404)CaDiCaL version: 2.1.3
% 5.73/1.59 % (3982404)Termination reason: Refutation
% 5.73/1.59 % (3982404)Time elapsed: 0.467 s
% 5.73/1.59 % (3982404)Peak memory usage: 138 MB
% 5.73/1.59 % (3982404)Instructions burned: 1112 (million)
% 5.73/1.59 % (3982404)------------------------------
% 5.73/1.59 % (3982404)------------------------------
% 5.73/1.59 % (3982399)Success in time 0.74 s
% 5.73/1.59 % Vampire exiting
%------------------------------------------------------------------------------