%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT146+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:37:35 PM UTC 2026
% Result : Theorem 1.21s 0.66s
% Output : Refutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 50 ( 5 unt; 3 def)
% Number of atoms : 99 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 87 ( 38 ~; 40 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-1 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 11 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062P_Ai_092_060_094esub_062_Ab_J_A_061_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_096) ).
fof(f5,axiom,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096ALL_Ai_O_A_Ia_A_060_092_060_094bsub_062below_A_IP_Ai_J_Ac_Ab_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_096) ).
fof(f6,axiom,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact__096ALL_Ai_O_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_092_060_094esub_062_Ac_J_A_061_A_Ib_A_060_092_060_094bsub_062below_A_Ibelow_A_Ibelow_A_IP_Ai_J_Ac_Ab_J_Ab_Aa_J_Aa_Ac_092_060_094esub_062_Aa_J_096) ).
fof(f523,conjecture,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f524,negated_conjecture,
~ ! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ),
inference(negated_conjecture,[status(cth)],[f523]) ).
fof(f998,plain,
? [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
<~> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ),
inference(ennf_transformation,[],[f524]) ).
fof(f1003,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1004,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,X0))) ),
inference(cnf_transformation,[],[f4]) ).
fof(f1005,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(cnf_transformation,[],[f5]) ).
fof(f1006,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____))) ),
inference(cnf_transformation,[],[f5]) ).
fof(f1007,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1008,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,X0)),v_c____),v_b____)),v_b____),v_a____))) ),
inference(cnf_transformation,[],[f6]) ).
fof(f1809,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK89)))
| hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(cnf_transformation,[],[f998]) ).
fof(f1810,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK89)))
| ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
inference(cnf_transformation,[],[f998]) ).
fof(f2004,definition,
( spl90_1
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____))) ),
introduced(definition,[new_symbols(definition,[spl90_1])],[avatar_definition]) ).
fof(f2005,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| spl90_1 ),
inference(avatar_component_clause,[],[f2004]) ).
fof(f2006,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_a____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)),v_b____),v_a____)),v_a____),v_c____)))
| ~ spl90_1 ),
inference(avatar_component_clause,[],[f2004]) ).
fof(f2008,definition,
( spl90_2
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK89))) ),
introduced(definition,[new_symbols(definition,[spl90_2])],[avatar_definition]) ).
fof(f2009,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK89)))
| spl90_2 ),
inference(avatar_component_clause,[],[f2008]) ).
fof(f2010,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK89)))
| ~ spl90_2 ),
inference(avatar_component_clause,[],[f2008]) ).
fof(f2011,plain,
( spl90_1
| spl90_2 ),
inference(avatar_split_clause,[],[f1809,f2008,f2004]) ).
fof(f2012,plain,
( ~ spl90_1
| ~ spl90_2 ),
inference(avatar_split_clause,[],[f1810,f2008,f2004]) ).
fof(f2066,definition,
( spl90_8
<=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)),v_b____),v_a____))) ),
introduced(definition,[new_symbols(definition,[spl90_8])],[avatar_definition]) ).
fof(f2067,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)),v_b____),v_a____)))
| spl90_8 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f2068,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)),v_b____),v_a____)))
| ~ spl90_8 ),
inference(avatar_component_clause,[],[f2066]) ).
fof(f2315,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)))
| ~ spl90_8 ),
inference(resolution,[],[f1005,f2068]) ).
fof(f2317,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK89)))
| ~ spl90_8 ),
inference(resolution,[],[f2315,f1003]) ).
fof(f2321,plain,
( $false
| spl90_2
| ~ spl90_8 ),
inference(forward_subsumption_resolution,[],[f2317,f2009]) ).
fof(f2322,plain,
( spl90_2
| ~ spl90_8 ),
inference(avatar_contradiction_clause,[],[f2321]) ).
fof(f2442,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)))
| spl90_8 ),
inference(resolution,[],[f1006,f2067]) ).
fof(f2444,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_a____),v_b____)),hAPP(v_P____,sK89)))
| spl90_8 ),
inference(resolution,[],[f2442,f1004]) ).
fof(f2452,plain,
( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)),v_b____),v_a____)))
| ~ spl90_1 ),
inference(resolution,[],[f1007,f2006]) ).
fof(f2455,plain,
( $false
| ~ spl90_1
| spl90_8 ),
inference(forward_subsumption_resolution,[],[f2452,f2067]) ).
fof(f2456,plain,
( ~ spl90_1
| spl90_8 ),
inference(avatar_contradiction_clause,[],[f2455]) ).
fof(f2464,plain,
( $false
| ~ spl90_2
| spl90_8 ),
inference(forward_subsumption_resolution,[],[f2444,f2010]) ).
fof(f2465,plain,
( ~ spl90_2
| spl90_8 ),
inference(avatar_contradiction_clause,[],[f2464]) ).
fof(f2624,plain,
( ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),hAPP(hAPP(c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_b____),v_c____)),hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(hAPP(hAPP(c_Arrow__Order__Mirabelle_Obelow,hAPP(v_P____,sK89)),v_c____),v_b____)),v_b____),v_a____)))
| spl90_1 ),
inference(resolution,[],[f1008,f2005]) ).
fof(f2628,plain,
( $false
| spl90_1
| ~ spl90_8 ),
inference(forward_subsumption_resolution,[],[f2624,f2068]) ).
fof(f2629,plain,
( spl90_1
| ~ spl90_8 ),
inference(avatar_contradiction_clause,[],[f2628]) ).
cnf(s1,plain,
( spl90_1
| spl90_2 ),
inference(sat_conversion,[],[f2011]) ).
cnf(s2,plain,
( ~ spl90_1
| ~ spl90_2 ),
inference(sat_conversion,[],[f2012]) ).
cnf(s26,plain,
( spl90_2
| ~ spl90_8 ),
inference(sat_conversion,[],[f2322]) ).
cnf(s32,plain,
( ~ spl90_1
| spl90_8 ),
inference(sat_conversion,[],[f2456]) ).
cnf(s34,plain,
( ~ spl90_2
| spl90_8 ),
inference(sat_conversion,[],[f2465]) ).
cnf(s45,plain,
( spl90_1
| ~ spl90_8 ),
inference(sat_conversion,[],[f2629]) ).
cnf(s52,plain,
spl90_1,
inference(rat,[],[s34,s1,s45]) ).
cnf(s53,plain,
spl90_8,
inference(rat,[],[s32,s52]) ).
cnf(s54,plain,
~ spl90_2,
inference(rat,[],[s2,s52]) ).
cnf(s55,plain,
$false,
inference(rat,[],[s26,s53,s54]) ).
fof(f2630,plain,
$false,
inference(avatar_sat_refutation,[],[s55]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT146+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n018.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 23:50:54 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.40 Running first-order model finding
% 0.09/0.40 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
% 1.21/0.66 % (2861831)Will run a generic schedule for satisfiability detection.
% 1.21/0.66 % (2861836)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=436850736_2999 on theBenchmark for (2999ds/0Mi)
% 1.21/0.66 % (2861837)% WARNING: option uhcvi not known.
% 1.21/0.66 % (2861837)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2242239906:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.21/0.66 % (2861838)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1041700298:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.21/0.66 % (2861839)dis+10_1_sil=32000:sp=arity:random_seed=2690795048:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.21/0.66 % (2861840)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2331688560:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.21/0.66 % (2861841)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=87944642:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.21/0.66 % (2861842)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=454758195:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.21/0.66 % (2861839)Instruction limit reached!
% 1.21/0.66 % (2861839)------------------------------
% 1.21/0.66 % (2861839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.66 % (2861839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.66 % (2861839)CaDiCaL version: 2.1.3
% 1.21/0.66 % (2861839)Termination reason: Instruction limit
% 1.21/0.66 % (2861839)Termination phase: Saturation
% 1.21/0.66 % (2861839)Time elapsed: 0.053 s
% 1.21/0.66 % (2861839)Peak memory usage: 13 MB
% 1.21/0.66 % (2861839)Instructions burned: 104 (million)
% 1.21/0.66 % (2861840)Instruction limit reached!
% 1.21/0.66 % (2861840)------------------------------
% 1.21/0.66 % (2861840)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.66 % (2861840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.66 % (2861840)CaDiCaL version: 2.1.3
% 1.21/0.66 % (2861840)Termination reason: Instruction limit
% 1.21/0.66 % (2861840)Termination phase: Saturation
% 1.21/0.66 % (2861840)Time elapsed: 0.054 s
% 1.21/0.66 % (2861840)Peak memory usage: 13 MB
% 1.21/0.66 % (2861840)Instructions burned: 117 (million)
% 1.21/0.66 % (2861841)Instruction limit reached!
% 1.21/0.66 % (2861841)------------------------------
% 1.21/0.66 % (2861841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.66 % (2861841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.66 % (2861841)CaDiCaL version: 2.1.3
% 1.21/0.66 % (2861841)Termination reason: Instruction limit
% 1.21/0.66 % (2861841)Termination phase: Saturation
% 1.21/0.66 % (2861841)Time elapsed: 0.068 s
% 1.21/0.66 % (2861841)Peak memory usage: 13 MB
% 1.21/0.66 % (2861841)Instructions burned: 133 (million)
% 1.21/0.66 % (2861850)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3685222863:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.21/0.66 % (2861851)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2797773323:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.21/0.66 % (2861842)Instruction limit reached!
% 1.21/0.66 % (2861842)------------------------------
% 1.21/0.66 % (2861842)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.66 % (2861842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.66 % (2861842)CaDiCaL version: 2.1.3
% 1.21/0.66 % (2861842)Termination reason: Instruction limit
% 1.21/0.66 % (2861842)Termination phase: Saturation
% 1.21/0.66 % (2861842)Time elapsed: 0.086 s
% 1.21/0.66 % (2861842)Peak memory usage: 14 MB
% 1.21/0.66 % (2861842)Instructions burned: 159 (million)
% 1.21/0.66 % (2861852)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=3897052183:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.21/0.66 % (2861855)ott-21_1_sil=16000:fs=off:random_seed=4063878994:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.21/0.66 % (2861851)Instruction limit reached!
% 1.21/0.66 % (2861851)------------------------------
% 1.21/0.66 % (2861851)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.66 % (2861851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.66 % (2861851)CaDiCaL version: 2.1.3
% 1.21/0.66 % (2861851)Termination reason: Instruction limit
% 1.21/0.66 % (2861851)Termination phase: Saturation
% 1.21/0.66 % (2861851)Time elapsed: 0.062 s
% 1.21/0.66 % (2861851)Peak memory usage: 13 MB
% 1.21/0.66 % (2861851)Instructions burned: 131 (million)
% 1.21/0.66 % (2861858)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=495310692:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.21/0.66 % (2861852) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2861831-2861852"...
% 1.21/0.66 % (2861852)...printing done.
% 1.21/0.66 % (2861852)Refutation found. Thanks to Tanya!
% 1.21/0.66 % SZS status Theorem for theBenchmark
% 1.21/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 1.21/0.66 % (2861852)------------------------------
% 1.21/0.66 % (2861852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.21/0.66 % (2861852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.21/0.66 % (2861852)CaDiCaL version: 2.1.3
% 1.21/0.66 % (2861852)Termination reason: Refutation
% 1.21/0.66 % (2861852)Time elapsed: 0.094 s
% 1.21/0.66 % (2861852)Peak memory usage: 14 MB
% 1.21/0.66 % (2861852)Instructions burned: 174 (million)
% 1.21/0.66 % (2861831)Success in time 0.251 s
% 1.21/0.66 % Vampire exiting
%------------------------------------------------------------------------------