%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT068-1 : 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 : n007.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 12:37:28 PM UTC 2026
% Result : Unsatisfiable 13.32s 6.01s
% Output : Refutation 13.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 57 ( 13 unt; 2 def)
% Number of atoms : 221 ( 59 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 258 ( 94 ~; 162 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-5 aty)
% Number of variables : 53 ( 0 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f737,axiom,
! [X0] :
( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f738,axiom,
! [X0] :
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f739,axiom,
c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f740,axiom,
c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).
fof(f741,axiom,
v_a_H____ != v_b_H____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_03) ).
fof(f742,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_04) ).
fof(f743,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X4,v_sko__CHAINED__1(X2,X4,X0,X1,X3)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__CHAINED__1(X2,X4,X0,X1,X3)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X4,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X3
| X1 = X3
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_3) ).
fof(f744,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__CHAINED__1(X4,X2,X3,X0,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X4,v_sko__CHAINED__1(X4,X2,X3,X0,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X4,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X3 = X1
| X0 = X1
| X3 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_2) ).
fof(f745,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X3,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__CHAINED__1(X4,X2,X3,X0,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X4,v_sko__CHAINED__1(X4,X2,X3,X0,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X4,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X1
| X0 = X3 ),
inference(reorient_equations,[],[f744]) ).
fof(f746,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X1,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X4,v_sko__CHAINED__1(X2,X4,X0,X1,X3)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__CHAINED__1(X2,X4,X0,X1,X3)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X4,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X3
| X1 = X3
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1_05) ).
fof(f747,axiom,
! [X2,X3,X0,X1,X4] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__CHAINED__1(X4,X2,X3,X0,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X3,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X4,v_sko__CHAINED__1(X4,X2,X3,X0,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X4,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X3 = X1
| X0 = X1
| X3 = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_06) ).
fof(f748,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Pair(X3,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X4),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__CHAINED__1(X4,X2,X3,X0,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X3,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X4,v_sko__CHAINED__1(X4,X2,X3,X0,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X4,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X1
| X0 = X3 ),
inference(reorient_equations,[],[f747]) ).
fof(f749,axiom,
v_b____ = v_a_H____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1_07) ).
fof(f750,axiom,
v_a____ != v_b_H____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_08) ).
fof(f751,negated_conjecture,
( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f752,negated_conjecture,
( c_in(c_Pair(v_a____,v_b____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f860,plain,
! [X0] :
( c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(definition_unfolding,[],[f737,f749]) ).
fof(f861,plain,
! [X0] :
( ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(definition_unfolding,[],[f738,f749]) ).
fof(f862,plain,
v_a____ != v_a_H____,
inference(definition_unfolding,[],[f742,f749]) ).
fof(f863,plain,
( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(definition_unfolding,[],[f751,f749]) ).
fof(f864,plain,
( c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
inference(definition_unfolding,[],[f752,f749]) ).
fof(f868,definition,
( spl0_1
<=> c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f870,plain,
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f872,definition,
( spl0_2
<=> c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f874,plain,
( c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f875,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f864,f872,f868]) ).
fof(f918,plain,
( ! [X0,X1] :
( c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| v_a____ = X0
| v_a_H____ = X0
| v_a____ = v_a_H____ )
| ~ spl0_2 ),
inference(resolution,[],[f745,f874]) ).
fof(f919,plain,
( ! [X0,X1] :
( ~ c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| v_a____ = X0
| v_a_H____ = X0 )
| ~ spl0_2 ),
inference(global_subsumption,[],[f918,f740,f862]) ).
fof(f923,plain,
( ! [X0,X1] :
( c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| v_a____ = X0
| v_a_H____ = X0
| v_a____ = v_a_H____ )
| ~ spl0_2 ),
inference(resolution,[],[f748,f874]) ).
fof(f924,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,X1,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_a____ = X0
| v_a_H____ = X0 )
| ~ spl0_2 ),
inference(global_subsumption,[],[f923,f740,f862]) ).
fof(f931,plain,
( ! [X0] :
( c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_a____ = X0
| v_a_H____ = X0 )
| ~ spl0_2 ),
inference(resolution,[],[f924,f739]) ).
fof(f937,plain,
( ! [X0] :
( c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,X0)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_a____ = X0
| v_a_H____ = X0
| c_in(c_Pair(v_a_H____,X0,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) )
| ~ spl0_2 ),
inference(resolution,[],[f931,f861]) ).
fof(f956,plain,
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_a____ = v_b_H____
| v_a_H____ = v_b_H____
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_2 ),
inference(factoring,[],[f937]) ).
fof(f958,plain,
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_2 ),
inference(global_subsumption,[],[f956,f874,f741,f750,f863]) ).
fof(f989,plain,
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| v_a____ = v_b_H____
| v_a_H____ = v_b_H____
| ~ spl0_2 ),
inference(resolution,[],[f958,f919]) ).
fof(f991,plain,
( ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_2 ),
inference(global_subsumption,[],[f989,f874,f739,f741,f750,f863]) ).
fof(f1001,plain,
( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_2 ),
inference(resolution,[],[f991,f860]) ).
fof(f1002,plain,
( $false
| ~ spl0_2 ),
inference(global_subsumption,[],[f1001,f958]) ).
fof(f1003,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1002]) ).
fof(f1005,plain,
( ! [X0,X1] :
( c_in(c_Pair(X0,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(X1,v_P_H____,X0,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__CHAINED__1(X1,v_P_H____,X0,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| v_b_H____ = X0
| v_a_H____ = v_b_H____
| v_a_H____ = X0 )
| ~ spl0_1 ),
inference(resolution,[],[f870,f746]) ).
fof(f1007,plain,
( ! [X0,X1] :
( c_in(c_Pair(X0,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(X1,v_P_H____,X0,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__CHAINED__1(X1,v_P_H____,X0,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| v_b_H____ = X0
| v_a_H____ = v_b_H____
| v_a_H____ = X0 )
| ~ spl0_1 ),
inference(resolution,[],[f870,f743]) ).
fof(f1009,plain,
( ! [X0,X1] :
( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(X1,v_P_H____,X0,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__CHAINED__1(X1,v_P_H____,X0,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| v_b_H____ = X0
| v_a_H____ = X0 )
| ~ spl0_1 ),
inference(global_subsumption,[],[f1007,f739,f741]) ).
fof(f1011,plain,
( ! [X0,X1] :
( ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(X1,v_P_H____,X0,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__CHAINED__1(X1,v_P_H____,X0,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(X1),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_b_H____ = X0
| v_a_H____ = X0 )
| ~ spl0_1 ),
inference(global_subsumption,[],[f1005,f739,f741]) ).
fof(f1022,plain,
( ! [X0] :
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,X0,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,X0,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_b_H____ = X0
| v_a_H____ = X0 )
| ~ spl0_1 ),
inference(resolution,[],[f1011,f740]) ).
fof(f1097,plain,
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_a____ = v_b_H____
| v_a____ = v_a_H____
| c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_1 ),
inference(resolution,[],[f1022,f861]) ).
fof(f1099,plain,
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| v_a____ = v_b_H____
| v_a____ = v_a_H____
| ~ spl0_1 ),
inference(duplicate_literal_removal,[],[f1097]) ).
fof(f1101,plain,
( c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_1 ),
inference(global_subsumption,[],[f1099,f870,f862,f750,f863]) ).
fof(f1106,plain,
( c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_F(v_P____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(v_P____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| v_a____ = v_b_H____
| v_a____ = v_a_H____
| ~ spl0_1 ),
inference(resolution,[],[f1101,f1009]) ).
fof(f1108,plain,
( ~ c_in(c_Pair(v_a____,v_a_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_1 ),
inference(global_subsumption,[],[f1106,f870,f740,f862,f750,f863]) ).
fof(f1148,plain,
( ~ c_in(c_Pair(v_a_H____,v_b_H____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,v_sko__CHAINED__1(v_P____,v_P_H____,v_a____,v_a_H____,v_b_H____)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ spl0_1 ),
inference(resolution,[],[f1108,f860]) ).
fof(f1150,plain,
( $false
| ~ spl0_1 ),
inference(global_subsumption,[],[f1148,f1101]) ).
fof(f1151,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f1150]) ).
cnf(s24,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f875]) ).
cnf(s638,plain,
~ spl0_2,
inference(sat_conversion,[],[f1003]) ).
cnf(s683,plain,
~ spl0_1,
inference(sat_conversion,[],[f1151]) ).
cnf(s684,plain,
$false,
inference(rat,[],[s24,s638,s683]) ).
fof(f1152,plain,
$false,
inference(avatar_sat_refutation,[],[s684]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT068-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n007.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 23:35:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 11.11/2.06 % (1893929)Will run a generic schedule for satisfiability detection.
% 11.11/2.06 % (1893948)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3546191761:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.11/2.06 % (1893944)% WARNING: option uhcvi not known.
% 11.11/2.06 % (1893946)dis+10_1_sil=32000:sp=arity:random_seed=176324602:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.11/2.06 % (1893947)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1258467856:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.11/2.06 % (1893949)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3692855067:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.11/2.06 % (1893943)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3095647249_2999 on theBenchmark for (2999ds/0Mi)
% 11.11/2.06 % (1893944)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3532802738:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.11/2.06 % (1893945)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3625981855:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.11/2.06 % (1893948)Instruction limit reached!
% 11.11/2.06 % (1893948)------------------------------
% 11.11/2.06 % (1893948)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.11/2.06 % (1893948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.11/2.06 % (1893948)CaDiCaL version: 2.1.3
% 11.11/2.06 % (1893948)Termination reason: Instruction limit
% 11.11/2.06 % (1893948)Termination phase: Saturation
% 11.11/2.06 % (1893948)Time elapsed: 0.046 s
% 11.11/2.06 % (1893948)Peak memory usage: 13 MB
% 11.11/2.06 % (1893948)Instructions burned: 131 (million)
% 11.11/2.06 % (1893973)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3768085624:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 11.11/2.06 % (1893946)Instruction limit reached!
% 11.11/2.06 % (1893946)------------------------------
% 11.11/2.06 % (1893946)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.11/2.06 % (1893946)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.11/2.06 % (1893946)CaDiCaL version: 2.1.3
% 11.11/2.06 % (1893946)Termination reason: Instruction limit
% 11.11/2.06 % (1893946)Termination phase: Saturation
% 11.11/2.06 % (1893946)Time elapsed: 0.067 s
% 11.11/2.06 % (1893946)Peak memory usage: 13 MB
% 11.11/2.06 % (1893946)Instructions burned: 103 (million)
% 11.11/2.06 % (1893947)Instruction limit reached!
% 11.11/2.06 % (1893947)------------------------------
% 11.11/2.06 % (1893947)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.11/2.06 % (1893947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.11/2.06 % (1893947)CaDiCaL version: 2.1.3
% 11.11/2.06 % (1893947)Termination reason: Instruction limit
% 11.11/2.06 % (1893947)Termination phase: Saturation
% 11.11/2.06 % (1893947)Time elapsed: 0.072 s
% 11.11/2.06 % (1893947)Peak memory usage: 13 MB
% 11.11/2.06 % (1893947)Instructions burned: 117 (million)
% 11.11/2.06 % (1893983)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2350911999:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.11/2.06 % (1893986)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=4251695216:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.11/2.06 % (1893949)Instruction limit reached!
% 11.11/2.06 % (1893949)------------------------------
% 11.11/2.06 % (1893949)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.11/2.06 % (1893949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.11/2.06 % (1893949)CaDiCaL version: 2.1.3
% 11.11/2.06 % (1893949)Termination reason: Instruction limit
% 11.11/2.06 % (1893949)Termination phase: Saturation
% 11.11/2.06 % (1893949)Time elapsed: 0.095 s
% 11.11/2.06 % (1893949)Peak memory usage: 13 MB
% 11.11/2.06 % (1893949)Instructions burned: 160 (million)
% 11.11/2.06 % (1893995)ott-21_1_sil=16000:fs=off:random_seed=2656715073:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.11/2.06 % Detected minimum model sizes of [3]
% 11.11/2.06 % Detected maximum model sizes of [max]
% 11.11/2.06 % TRYING [3]
% 11.11/2.06 % (1893983)Instruction limit reached!
% 11.11/2.06 % (1893983)------------------------------
% 11.11/2.06 % (1893983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.11/2.06 % (1893983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.28/4.63 % (1893983)CaDiCaL version: 2.1.3
% 29.28/4.63 % (1893983)Termination reason: Instruction limit
% 29.28/4.63 % (1893983)Termination phase: Saturation
% 29.28/4.63 % (1893983)Time elapsed: 0.076 s
% 29.28/4.63 % (1893983)Peak memory usage: 13 MB
% 29.28/4.63 % (1893983)Instructions burned: 131 (million)
% 29.28/4.63 % Detected minimum model sizes of [3]
% 29.28/4.63 % Detected maximum model sizes of [max]
% 29.28/4.63 % TRYING [3]
% 29.28/4.63 % (1894022)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1578187134:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 29.28/4.63 % (1893973)Instruction limit reached!
% 29.28/4.63 % (1893973)------------------------------
% 29.28/4.63 % (1893973)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.28/4.63 % (1893973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.28/4.63 % (1893973)CaDiCaL version: 2.1.3
% 29.28/4.63 % (1893973)Termination reason: Instruction limit
% 29.28/4.63 % (1893973)Termination phase: Finite model building constraint generation
% 29.28/4.63 % (1893973)Time elapsed: 0.161 s
% 29.28/4.63 % (1893973)Peak memory usage: 31 MB
% 29.28/4.63 % (1893973)Instructions burned: 717 (million)
% 29.28/4.63 % (1893995)Instruction limit reached!
% 29.28/4.63 % (1893995)------------------------------
% 29.28/4.63 % (1893995)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.28/4.63 % (1893995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.28/4.63 % (1893995)CaDiCaL version: 2.1.3
% 29.28/4.63 % (1893995)Termination reason: Instruction limit
% 29.28/4.63 % (1893995)Termination phase: Saturation
% 29.28/4.63 % (1893995)Time elapsed: 0.110 s
% 29.28/4.63 % (1893995)Peak memory usage: 13 MB
% 29.28/4.63 % (1893995)Instructions burned: 181 (million)
% 29.28/4.63 % (1894038)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3262508645:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 29.28/4.63 % (1894031)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2495119628:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 29.28/4.63 % Detected minimum model sizes of [3]
% 29.28/4.63 % Detected maximum model sizes of [max]
% 29.28/4.63 % (1893986)Instruction limit reached!
% 29.28/4.63 % (1893986)------------------------------
% 29.28/4.63 % (1893986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.28/4.63 % (1893986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.28/4.63 % (1893986)CaDiCaL version: 2.1.3
% 29.28/4.63 % (1893986)Termination reason: Instruction limit
% 29.28/4.63 % (1893986)Termination phase: Saturation
% 29.28/4.63 % (1893986)Time elapsed: 0.433 s
% 29.28/4.63 % (1893986)Peak memory usage: 17 MB
% 29.28/4.63 % (1893986)Instructions burned: 684 (million)
% 29.28/4.63 % (1894022)Instruction limit reached!
% 29.28/4.63 % (1894022)------------------------------
% 29.28/4.63 % (1894022)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.28/4.63 % (1894022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.28/4.63 % (1894022)CaDiCaL version: 2.1.3
% 29.28/4.63 % (1894022)Termination reason: Instruction limit
% 29.28/4.63 % (1894022)Termination phase: Saturation
% 29.28/4.63 % (1894022)Time elapsed: 0.339 s
% 29.28/4.63 % (1894022)Peak memory usage: 14 MB
% 29.28/4.63 % (1894022)Instructions burned: 478 (million)
% 29.28/4.63 % (1894063)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2839550524:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 29.28/4.63 % (1894064)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=3098138966:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 29.28/4.63 % TRYING [3]
% 29.28/4.63 % (1894038)Instruction limit reached!
% 29.28/4.63 % (1894038)------------------------------
% 29.28/4.63 % (1894038)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 29.28/4.63 % (1894038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.28/4.63 % (1894038)CaDiCaL version: 2.1.3
% 29.28/4.63 % (1894038)Termination reason: Instruction limit
% 29.28/4.63 % (1894038)Termination phase: Saturation
% 29.28/4.63 % (1894038)Time elapsed: 0.397 s
% 29.28/4.63 % (1894038)Peak memory usage: 23 MB
% 29.28/4.63 % (1894038)Instructions burned: 1181 (million)
% 29.28/4.63 % (1894074)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2064332764:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 13.32/6.01 % (1894031)Instruction limit reached!
% 13.32/6.01 % (1894031)------------------------------
% 13.32/6.01 % (1894031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894031)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894031)Termination reason: Instruction limit
% 13.32/6.01 % (1894031)Termination phase: Finite model building constraint generation
% 13.32/6.01 % (1894031)Time elapsed: 0.412 s
% 13.32/6.01 % (1894031)Peak memory usage: 59 MB
% 13.32/6.01 % (1894031)Instructions burned: 867 (million)
% 13.32/6.01 % (1894082)fmb+10_1_sil=64000:random_seed=1992973858:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 13.32/6.01 % (1894063)Cannot represent all propositional literals internally
% 13.32/6.01 % (1894063)Refutation not found, incomplete strategy
% 13.32/6.01 % (1894063)------------------------------
% 13.32/6.01 % (1894063)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894063)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894063)Termination reason: Refutation not found, incomplete strategy
% 13.32/6.01 % (1894063)Time elapsed: 0.185 s
% 13.32/6.01 % (1894063)Peak memory usage: 17 MB
% 13.32/6.01 % (1894063)Instructions burned: 360 (million)
% 13.32/6.01 % (1894063)------------------------------
% 13.32/6.01 % (1894063)------------------------------
% 13.32/6.01 % (1894084)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2987448373:i=9515:nm=5_2992 on theBenchmark for (2992ds/9515Mi)
% 13.32/6.01 % Detected minimum model sizes of [3]
% 13.32/6.01 % Detected maximum model sizes of [max]
% 13.32/6.01 % Detected minimum model sizes of [3]
% 13.32/6.01 % Detected maximum model sizes of [max]
% 13.32/6.01 % (1894084)Cannot represent all propositional literals internally
% 13.32/6.01 % (1894084)Refutation not found, incomplete strategy
% 13.32/6.01 % (1894084)------------------------------
% 13.32/6.01 % (1894084)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894084)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894084)Termination reason: Refutation not found, incomplete strategy
% 13.32/6.01 % (1894084)Time elapsed: 0.180 s
% 13.32/6.01 % (1894084)Peak memory usage: 16 MB
% 13.32/6.01 % (1894084)Instructions burned: 360 (million)
% 13.32/6.01 % (1894084)------------------------------
% 13.32/6.01 % (1894084)------------------------------
% 13.32/6.01 % (1894086)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3271689429:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 13.32/6.01 % TRYING [3]
% 13.32/6.01 % (1894064)Instruction limit reached!
% 13.32/6.01 % (1894064)------------------------------
% 13.32/6.01 % (1894064)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894064)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894064)Termination reason: Instruction limit
% 13.32/6.01 % (1894064)Termination phase: Saturation
% 13.32/6.01 % (1894064)Time elapsed: 0.465 s
% 13.32/6.01 % (1894064)Peak memory usage: 19 MB
% 13.32/6.01 % (1894064)Instructions burned: 692 (million)
% 13.32/6.01 % (1894088)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=2294962882:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 13.32/6.01 % (1894074)Instruction limit reached!
% 13.32/6.01 % (1894074)------------------------------
% 13.32/6.01 % (1894074)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894074)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894074)Termination reason: Instruction limit
% 13.32/6.01 % (1894074)Termination phase: Saturation
% 13.32/6.01 % (1894074)Time elapsed: 0.460 s
% 13.32/6.01 % (1894074)Peak memory usage: 19 MB
% 13.32/6.01 % (1894074)Instructions burned: 879 (million)
% 13.32/6.01 % (1894098)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3672832246:i=1472:ins=7:fdi=8:gsp=on_2988 on theBenchmark for (2988ds/1472Mi)
% 13.32/6.01 % Detected minimum model sizes of [3]
% 13.32/6.01 % Detected maximum model sizes of [max]
% 13.32/6.01 % TRYING [8]
% 13.32/6.01 % (1894086)Instruction limit reached!
% 13.32/6.01 % (1894086)------------------------------
% 13.32/6.01 % (1894086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894086)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894086)Termination reason: Instruction limit
% 13.32/6.01 % (1894086)Termination phase: Finite model building constraint generation
% 13.32/6.01 % (1894086)Time elapsed: 0.601 s
% 13.32/6.01 % (1894086)Peak memory usage: 50 MB
% 13.32/6.01 % (1894086)Instructions burned: 920 (million)
% 13.32/6.01 % (1894108)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4096922804:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 13.32/6.01 % TRYING [4]
% 13.32/6.01 % Detected minimum model sizes of [3]
% 13.32/6.01 % Detected maximum model sizes of [max]
% 13.32/6.01 % (1894108)Cannot represent all propositional literals internally
% 13.32/6.01 % (1894098)Instruction limit reached!
% 13.32/6.01 % (1894098)------------------------------
% 13.32/6.01 % (1894098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894108)Refutation not found, incomplete strategy
% 13.32/6.01 % (1894108)------------------------------
% 13.32/6.01 % (1894108)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894108)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894098)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894108)Termination reason: Refutation not found, incomplete strategy
% 13.32/6.01 % (1894108)Time elapsed: 0.239 s
% 13.32/6.01 % (1894098)Termination reason: Instruction limit
% 13.32/6.01 % (1894098)Termination phase: Saturation
% 13.32/6.01 % (1894098)Time elapsed: 0.703 s
% 13.32/6.01 % (1894108)Peak memory usage: 17 MB
% 13.32/6.01 % (1894108)Instructions burned: 371 (million)
% 13.32/6.01 % (1894098)Peak memory usage: 26 MB
% 13.32/6.01 % (1894098)Instructions burned: 1474 (million)
% 13.32/6.01 % (1894108)------------------------------
% 13.32/6.01 % (1894108)------------------------------
% 13.32/6.01 % (1894113)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=1089695418:fmbsr=2.30978:i=2174_2980 on theBenchmark for (2980ds/2174Mi)
% 13.32/6.01 % (1894114)ott-2_1_sil=16000:newcnf=on:random_seed=3150622701:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2980 on theBenchmark for (2980ds/869Mi)
% 13.32/6.01 % Detected minimum model sizes of [3]
% 13.32/6.01 % Detected maximum model sizes of [max]
% 13.32/6.01 % (1894113)Cannot represent all propositional literals internally
% 13.32/6.01 % (1894113)Refutation not found, incomplete strategy
% 13.32/6.01 % (1894113)------------------------------
% 13.32/6.01 % (1894113)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894113)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894113)Termination reason: Refutation not found, incomplete strategy
% 13.32/6.01 % (1894113)Time elapsed: 0.498 s
% 13.32/6.01 % (1894113)Peak memory usage: 30 MB
% 13.32/6.01 % (1894113)Instructions burned: 1895 (million)
% 13.32/6.01 % (1894113)------------------------------
% 13.32/6.01 % (1894113)------------------------------
% 13.32/6.01 % (1894185)ott+10_1_sil=32000:tgt=ground:random_seed=2795229986:i=5114:av=off_2975 on theBenchmark for (2975ds/5114Mi)
% 13.32/6.01 % (1894114)Instruction limit reached!
% 13.32/6.01 % (1894114)------------------------------
% 13.32/6.01 % (1894114)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894114)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894114)Termination reason: Instruction limit
% 13.32/6.01 % (1894114)Termination phase: Saturation
% 13.32/6.01 % (1894114)Time elapsed: 0.526 s
% 13.32/6.01 % (1894114)Peak memory usage: 20 MB
% 13.32/6.01 % (1894114)Instructions burned: 869 (million)
% 13.32/6.01 % (1894193)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2884217503:i=54282_2975 on theBenchmark for (2975ds/54282Mi)
% 13.32/6.01 % Detected minimum model sizes of [3]
% 13.32/6.01 % Detected maximum model sizes of [max]
% 13.32/6.01 % TRYING [3]
% 13.32/6.01 % TRYING [4]
% 13.32/6.01 % (1894185)Instruction limit reached!
% 13.32/6.01 % (1894185)------------------------------
% 13.32/6.01 % (1894185)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894185)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894185)Termination reason: Instruction limit
% 13.32/6.01 % (1894185)Termination phase: Saturation
% 13.32/6.01 % (1894185)Time elapsed: 1.745 s
% 13.32/6.01 % (1894185)Peak memory usage: 44 MB
% 13.32/6.01 % (1894185)Instructions burned: 5114 (million)
% 13.32/6.01 % (1894274)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=555226876:i=3512:aac=none_2958 on theBenchmark for (2958ds/3512Mi)
% 13.32/6.01 % (1894088)Instruction limit reached!
% 13.32/6.01 % (1894088)------------------------------
% 13.32/6.01 % (1894088)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894088)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894088)Termination reason: Instruction limit
% 13.32/6.01 % (1894088)Termination phase: Saturation
% 13.32/6.01 % (1894088)Time elapsed: 3.384 s
% 13.32/6.01 % (1894088)Peak memory usage: 45 MB
% 13.32/6.01 % (1894088)Instructions burned: 5131 (million)
% 13.32/6.01 % (1894276)dis+21_1_sil=32000:sas=cadical:random_seed=1099332695:i=3773:amm=off_2955 on theBenchmark for (2955ds/3773Mi)
% 13.32/6.01 % (1894274)Instruction limit reached!
% 13.32/6.01 % (1894274)------------------------------
% 13.32/6.01 % (1894274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894274)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894274)Termination reason: Instruction limit
% 13.32/6.01 % (1894274)Termination phase: Saturation
% 13.32/6.01 % (1894274)Time elapsed: 1.188 s
% 13.32/6.01 % (1894274)Peak memory usage: 34 MB
% 13.32/6.01 % (1894274)Instructions burned: 3515 (million)
% 13.32/6.01 % (1894278)ott+11_1_sil=16000:gs=on:random_seed=366408831:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2946 on theBenchmark for (2946ds/2251Mi)
% 13.32/6.01 % (1894278) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1893929-1894278"...
% 13.32/6.01 % (1894278)...printing done.
% 13.32/6.01 % (1894278)Refutation found. Thanks to Tanya!
% 13.32/6.01 % SZS status Unsatisfiable for theBenchmark
% 13.32/6.01 % SZS output start Proof for theBenchmark
% See solution above
% 13.32/6.01 % (1894278)------------------------------
% 13.32/6.01 % (1894278)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.32/6.01 % (1894278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.32/6.01 % (1894278)CaDiCaL version: 2.1.3
% 13.32/6.01 % (1894278)Termination reason: Refutation
% 13.32/6.01 % (1894278)Time elapsed: 0.044 s
% 13.32/6.01 % (1894278)Peak memory usage: 14 MB
% 13.32/6.01 % (1894278)Instructions burned: 144 (million)
% 13.32/6.01 % (1893929)Success in time 5.574 s
% 13.32/6.01 % Vampire exiting
%------------------------------------------------------------------------------