%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV959-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 01:26:43 PM UTC 2026
% Result : Unsatisfiable 4.18s 0.94s
% Output : Refutation 4.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 22
% Syntax : Number of formulae : 96 ( 23 unt; 12 def)
% Number of atoms : 223 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 240 ( 113 ~; 123 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 5 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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(f599,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,[],[f523,f494]) ).
fof(f601,plain,
( $false
| ~ spl8_2
| ~ spl8_3 ),
inference(forward_subsumption_resolution,[],[f599,f529]) ).
fof(f602,plain,
( ~ spl8_2
| ~ spl8_3 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f604,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(f606,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,[],[f604,f483]) ).
fof(f607,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,[],[f606,f481]) ).
fof(f608,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,[],[f607,f485]) ).
fof(f609,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,[],[f608,f487]) ).
fof(f610,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,[],[f609,f489]) ).
fof(f611,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,[],[f610,f479]) ).
fof(f612,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,[],[f611,f483]) ).
fof(f613,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,[],[f612,f481]) ).
fof(f614,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,[],[f613,f485]) ).
fof(f1516,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(f1518,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,[],[f1516,f499]) ).
fof(f1527,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(f1529,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,[],[f1527,f499]) ).
fof(f1810,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(f1813,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,[],[f1810,f499]) ).
fof(f1817,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,[],[f1813,f479]) ).
fof(f1821,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,[],[f1817,f483]) ).
fof(f1824,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,[],[f1821,f481]) ).
fof(f1827,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,[],[f1824,f485]) ).
fof(f1834,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(f1837,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,[],[f1834,f499]) ).
fof(f1841,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,[],[f1837,f479]) ).
fof(f1845,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,[],[f1841,f483]) ).
fof(f1848,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,[],[f1845,f481]) ).
fof(f1851,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,[],[f1848,f485]) ).
fof(f1854,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,[],[f1851,f487]) ).
fof(f1855,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,[],[f1854,f489]) ).
fof(f5707,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,[],[f1827,f614]) ).
fof(f5708,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,[],[f5707,f1529]) ).
fof(f6704,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,[],[f5708,f1855]) ).
fof(f6718,plain,
( $false
| spl8_1
| ~ spl8_4 ),
inference(forward_subsumption_resolution,[],[f6704,f1518]) ).
fof(f6719,plain,
( spl8_1
| ~ spl8_4 ),
inference(avatar_contradiction_clause,[],[f6718]) ).
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,[],[f602]) ).
cnf(s55,plain,
( spl8_1
| ~ spl8_4 ),
inference(sat_conversion,[],[f6719]) ).
cnf(s56,plain,
spl8_4,
inference(rat,[],[s5,s3,s4]) ).
cnf(s57,plain,
spl8_1,
inference(rat,[],[s55,s56]) ).
cnf(s58,plain,
spl8_3,
inference(rat,[],[s2,s57]) ).
cnf(s59,plain,
spl8_2,
inference(rat,[],[s1,s57]) ).
cnf(s60,plain,
$false,
inference(rat,[],[s5,s58,s59]) ).
fof(f6720,plain,
$false,
inference(avatar_sat_refutation,[],[s60]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n001.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 13:07:48 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.68/0.83 % (332968)Will run a generic schedule for satisfiability detection.
% 3.68/0.83 % (332975)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2079681847:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 3.68/0.83 % (332974)% WARNING: option uhcvi not known.
% 3.68/0.83 % (332973)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2200785223_2999 on theBenchmark for (2999ds/0Mi)
% 3.68/0.83 % (332974)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2043562735:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 3.68/0.83 % (332978)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2045695758:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 3.68/0.83 % (332976)dis+10_1_sil=32000:sp=arity:random_seed=3362187096:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 3.68/0.83 % (332977)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=274175042:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 3.68/0.83 % (332979)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3848837947:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 3.68/0.83 % (332977)Instruction limit reached!
% 3.68/0.83 % (332977)------------------------------
% 3.68/0.83 % (332977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.83 % (332977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.83 % (332977)CaDiCaL version: 2.1.3
% 3.68/0.83 % (332977)Termination reason: Instruction limit
% 3.68/0.83 % (332977)Termination phase: Saturation
% 3.68/0.83 % (332977)Time elapsed: 0.055 s
% 3.68/0.83 % (332977)Peak memory usage: 12 MB
% 3.68/0.83 % (332977)Instructions burned: 117 (million)
% 3.68/0.83 % (332979)Instruction limit reached!
% 3.68/0.83 % (332979)------------------------------
% 3.68/0.83 % (332979)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.83 % (332979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.83 % (332979)CaDiCaL version: 2.1.3
% 3.68/0.83 % (332979)Termination reason: Instruction limit
% 3.68/0.83 % (332979)Termination phase: Saturation
% 3.68/0.83 % (332979)Time elapsed: 0.061 s
% 3.68/0.83 % (332979)Peak memory usage: 12 MB
% 3.68/0.83 % (332979)Instructions burned: 161 (million)
% 3.68/0.83 % (332976)Instruction limit reached!
% 3.68/0.83 % (332976)------------------------------
% 3.68/0.83 % (332976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.83 % (332976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.83 % (332976)CaDiCaL version: 2.1.3
% 3.68/0.83 % (332976)Termination reason: Instruction limit
% 3.68/0.83 % (332976)Termination phase: Saturation
% 3.68/0.83 % (332976)Time elapsed: 0.065 s
% 3.68/0.83 % (332976)Peak memory usage: 12 MB
% 3.68/0.83 % (332976)Instructions burned: 107 (million)
% 3.68/0.83 % Detected minimum model sizes of [3]
% 3.68/0.83 % Detected maximum model sizes of [max]
% 3.68/0.83 % (332973)Cannot represent all propositional literals internally
% 3.68/0.83 % (332973)Refutation not found, incomplete strategy
% 3.68/0.83 % (332973)------------------------------
% 3.68/0.83 % (332973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.83 % (332973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.83 % (332973)CaDiCaL version: 2.1.3
% 3.68/0.83 % (332973)Termination reason: Refutation not found, incomplete strategy
% 3.68/0.83 % (332973)Time elapsed: 0.075 s
% 3.68/0.83 % (332973)Peak memory usage: 13 MB
% 3.68/0.83 % (332973)Instructions burned: 146 (million)
% 3.68/0.83 % (332973)------------------------------
% 3.68/0.83 % (332973)------------------------------
% 3.68/0.83 % (332978)Instruction limit reached!
% 3.68/0.83 % (332978)------------------------------
% 3.68/0.83 % (332978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.68/0.83 % (332978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.68/0.83 % (332978)CaDiCaL version: 2.1.3
% 3.68/0.83 % (332978)Termination reason: Instruction limit
% 3.68/0.83 % (332978)Termination phase: Saturation
% 3.68/0.83 % (332978)Time elapsed: 0.077 s
% 3.68/0.83 % (332978)Peak memory usage: 13 MB
% 3.68/0.83 % (332978)Instructions burned: 131 (million)
% 3.68/0.83 % (332987)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2236672205:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 3.68/0.83 % (332988)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1474378113:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 4.18/0.94 % (332989)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1780061384:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 4.18/0.94 % (332990)ott-21_1_sil=16000:fs=off:random_seed=3599308588:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 4.18/0.94 % (332991)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2531546103:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 4.18/0.94 % (332988)Instruction limit reached!
% 4.18/0.94 % (332988)------------------------------
% 4.18/0.94 % (332988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (332988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (332988)CaDiCaL version: 2.1.3
% 4.18/0.94 % (332988)Termination reason: Instruction limit
% 4.18/0.94 % (332988)Termination phase: Saturation
% 4.18/0.94 % (332988)Time elapsed: 0.079 s
% 4.18/0.94 % (332988)Peak memory usage: 14 MB
% 4.18/0.94 % (332988)Instructions burned: 132 (million)
% 4.18/0.94 % Detected minimum model sizes of [3]
% 4.18/0.94 % Detected maximum model sizes of [max]
% 4.18/0.94 % (332987)Cannot represent all propositional literals internally
% 4.18/0.94 % (332987)Refutation not found, incomplete strategy
% 4.18/0.94 % (332987)------------------------------
% 4.18/0.94 % (332987)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (332987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (332987)CaDiCaL version: 2.1.3
% 4.18/0.94 % (332987)Termination reason: Refutation not found, incomplete strategy
% 4.18/0.94 % (332987)Time elapsed: 0.085 s
% 4.18/0.94 % (332987)Peak memory usage: 12 MB
% 4.18/0.94 % (332987)Instructions burned: 173 (million)
% 4.18/0.94 % (332987)------------------------------
% 4.18/0.94 % (332987)------------------------------
% 4.18/0.94 % (332997)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3574977605:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 4.18/0.94 % (332998)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1766602562:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 4.18/0.94 % (332990)Instruction limit reached!
% 4.18/0.94 % (332990)------------------------------
% 4.18/0.94 % (332990)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (332990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (332990)CaDiCaL version: 2.1.3
% 4.18/0.94 % (332990)Termination reason: Instruction limit
% 4.18/0.94 % (332990)Termination phase: Saturation
% 4.18/0.94 % (332990)Time elapsed: 0.099 s
% 4.18/0.94 % (332990)Peak memory usage: 13 MB
% 4.18/0.94 % (332990)Instructions burned: 181 (million)
% 4.18/0.94 % (333001)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=488121517:i=889:ins=1_2997 on theBenchmark for (2997ds/889Mi)
% 4.18/0.94 % Detected minimum model sizes of [3]
% 4.18/0.94 % Detected maximum model sizes of [max]
% 4.18/0.94 % (332997)Cannot represent all propositional literals internally
% 4.18/0.94 % (332997)Refutation not found, incomplete strategy
% 4.18/0.94 % (332997)------------------------------
% 4.18/0.94 % (332997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (332997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (332997)CaDiCaL version: 2.1.3
% 4.18/0.94 % (332997)Termination reason: Refutation not found, incomplete strategy
% 4.18/0.94 % (332997)Time elapsed: 0.073 s
% 4.18/0.94 % (332997)Peak memory usage: 13 MB
% 4.18/0.94 % (332997)Instructions burned: 142 (million)
% 4.18/0.94 % (332997)------------------------------
% 4.18/0.94 % (332997)------------------------------
% 4.18/0.94 % (333003)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4276122833:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2996 on theBenchmark for (2996ds/692Mi)
% 4.18/0.94 % (333001)Cannot represent all propositional literals internally
% 4.18/0.94 % (333001)Refutation not found, incomplete strategy
% 4.18/0.94 % (333001)------------------------------
% 4.18/0.94 % (333001)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (333001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (333001)CaDiCaL version: 2.1.3
% 4.18/0.94 % (333001)Termination reason: Refutation not found, incomplete strategy
% 4.18/0.94 % (333001)Time elapsed: 0.073 s
% 4.18/0.94 % (333001)Peak memory usage: 12 MB
% 4.18/0.94 % (333001)Instructions burned: 143 (million)
% 4.18/0.94 % (333001)------------------------------
% 4.18/0.94 % (333001)------------------------------
% 4.18/0.94 % (333005)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=361125858:i=879:kws=inv_precedence:fsr=off_2996 on theBenchmark for (2996ds/879Mi)
% 4.18/0.94 % (332991)Instruction limit reached!
% 4.18/0.94 % (332991)------------------------------
% 4.18/0.94 % (332991)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (332991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (332991)CaDiCaL version: 2.1.3
% 4.18/0.94 % (332991)Termination reason: Instruction limit
% 4.18/0.94 % (332991)Termination phase: Saturation
% 4.18/0.94 % (332991)Time elapsed: 0.272 s
% 4.18/0.94 % (332991)Peak memory usage: 15 MB
% 4.18/0.94 % (332991)Instructions burned: 478 (million)
% 4.18/0.94 % (333007)fmb+10_1_sil=64000:random_seed=4290118838:i=22061:nm=2:gsp=on_2995 on theBenchmark for (2995ds/22061Mi)
% 4.18/0.94 % (332989)Instruction limit reached!
% 4.18/0.94 % (332989)------------------------------
% 4.18/0.94 % (332989)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (332989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (332989)CaDiCaL version: 2.1.3
% 4.18/0.94 % (332989)Termination reason: Instruction limit
% 4.18/0.94 % (332989)Termination phase: Saturation
% 4.18/0.94 % (332989)Time elapsed: 0.311 s
% 4.18/0.94 % (332989)Peak memory usage: 16 MB
% 4.18/0.94 % (332989)Instructions burned: 685 (million)
% 4.18/0.94 % (333009)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=77264667:i=9515:nm=5_2995 on theBenchmark for (2995ds/9515Mi)
% 4.18/0.94 % Detected minimum model sizes of [3]
% 4.18/0.94 % Detected maximum model sizes of [max]
% 4.18/0.94 % (333007)Cannot represent all propositional literals internally
% 4.18/0.94 % (333007)Refutation not found, incomplete strategy
% 4.18/0.94 % (333007)------------------------------
% 4.18/0.94 % (333007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (333007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (333007)CaDiCaL version: 2.1.3
% 4.18/0.94 % (333007)Termination reason: Refutation not found, incomplete strategy
% 4.18/0.94 % (333007)Time elapsed: 0.070 s
% 4.18/0.94 % (333007)Peak memory usage: 12 MB
% 4.18/0.94 % (333007)Instructions burned: 137 (million)
% 4.18/0.94 % (333007)------------------------------
% 4.18/0.94 % (333007)------------------------------
% 4.18/0.94 % (333011)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1820256157:fmbsr=1.7:i=920_2994 on theBenchmark for (2994ds/920Mi)
% 4.18/0.94 % Detected minimum model sizes of [3]
% 4.18/0.94 % Detected maximum model sizes of [max]
% 4.18/0.94 % (333009)Cannot represent all propositional literals internally
% 4.18/0.94 % (333009)Refutation not found, incomplete strategy
% 4.18/0.94 % (333009)------------------------------
% 4.18/0.94 % (333009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (333009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (333009)CaDiCaL version: 2.1.3
% 4.18/0.94 % (333009)Termination reason: Refutation not found, incomplete strategy
% 4.18/0.94 % (333009)Time elapsed: 0.073 s
% 4.18/0.94 % (333009)Peak memory usage: 12 MB
% 4.18/0.94 % (333009)Instructions burned: 142 (million)
% 4.18/0.94 % (333009)------------------------------
% 4.18/0.94 % (333009)------------------------------
% 4.18/0.94 % (333013)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=547120031:i=5131_2994 on theBenchmark for (2994ds/5131Mi)
% 4.18/0.94 % Detected minimum model sizes of [3]
% 4.18/0.94 % Detected maximum model sizes of [max]
% 4.18/0.94 % (333011)Cannot represent all propositional literals internally
% 4.18/0.94 % (333011)Refutation not found, incomplete strategy
% 4.18/0.94 % (333011)------------------------------
% 4.18/0.94 % (333011)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (333011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (333011)CaDiCaL version: 2.1.3
% 4.18/0.94 % (333011)Termination reason: Refutation not found, incomplete strategy
% 4.18/0.94 % (333011)Time elapsed: 0.073 s
% 4.18/0.94 % (333011)Peak memory usage: 12 MB
% 4.18/0.94 % (333011)Instructions burned: 142 (million)
% 4.18/0.94 % (333011)------------------------------
% 4.18/0.94 % (333011)------------------------------
% 4.18/0.94 % (333015)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3200275035:i=1472:ins=7:fdi=8:gsp=on_2994 on theBenchmark for (2994ds/1472Mi)
% 4.18/0.94 % (332998) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-332968-332998"...
% 4.18/0.94 % (332998)...printing done.
% 4.18/0.94 % (332998)Refutation found. Thanks to Tanya!
% 4.18/0.94 % SZS status Unsatisfiable for theBenchmark
% 4.18/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 4.18/0.94 % (332998)------------------------------
% 4.18/0.94 % (332998)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 4.18/0.94 % (332998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.18/0.94 % (332998)CaDiCaL version: 2.1.3
% 4.18/0.94 % (332998)Termination reason: Refutation
% 4.18/0.94 % (332998)Time elapsed: 0.473 s
% 4.18/0.94 % (332998)Peak memory usage: 26 MB
% 4.18/0.94 % (332998)Instructions burned: 857 (million)
% 4.18/0.94 % (332968)Success in time 0.711 s
% 4.18/0.94 % Vampire exiting
%------------------------------------------------------------------------------