%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET863-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:42:12 PM UTC 2026
% Result : Unsatisfiable 2.79s 1.30s
% Output : Refutation 3.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 19
% Syntax : Number of formulae : 76 ( 15 unt; 5 def)
% Number of atoms : 222 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 264 ( 118 ~; 141 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 79 ( 0 sgn 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f2,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X1,tc_set(X2))
| c_in(c_Zorn_Ochain__extend__1(X3,X0,X2),X3,tc_set(X2))
| c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_0) ).
fof(f5,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X0,X2),X0,tc_set(X2))
| ~ c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X1,tc_set(X2))
| c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X1,X2)
| c_in(X0,X5,X2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X3,tc_set(X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X1,X2)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X5,tc_set(X2))
| c_in(X0,X5,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).
fof(f8,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f9,negated_conjecture,
c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f10,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f11,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f12,negated_conjecture,
c_in(v_xa,v_x,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f13,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f14,negated_conjecture,
! [X0] :
( ~ c_in(X0,v_c,tc_set(t_a))
| c_lessequals(X0,v_y,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f18,plain,
! [X0] :
( ~ c_in(X0,v_y,t_a)
| c_in(X0,v_x,t_a) ),
inference(resolution,[],[f1,f11]) ).
fof(f23,plain,
! [X0] :
( c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(resolution,[],[f4,f9]) ).
fof(f32,plain,
! [X2,X0,X1] :
( c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X0,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
| c_in(X1,X2,t_a) ),
inference(resolution,[],[f23,f7]) ).
fof(f33,plain,
! [X2,X0,X1] :
( c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,X0,t_a)
| c_in(X1,X2,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a)) ),
inference(resolution,[],[f23,f6]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_in(X1,X2,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a)) ),
inference(forward_subsumption_resolution,[],[f33,f8]) ).
fof(f36,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
| c_in(X1,X2,t_a) ),
inference(forward_subsumption_resolution,[],[f32,f8]) ).
fof(f43,plain,
! [X0,X1] :
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| ~ c_in(X0,v_x,t_a)
| c_in(X0,X1,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a)) ),
inference(resolution,[],[f35,f10]) ).
fof(f45,definition,
( spl0_1
<=> ! [X0,X1] :
( ~ c_in(X0,v_x,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(X0,X1,t_a) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f46,plain,
( ! [X0,X1] :
( ~ c_in(X0,v_x,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X1,t_a),v_c,tc_set(t_a))
| c_in(X0,X1,t_a) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f48,definition,
( spl0_2
<=> c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f49,plain,
( ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f43,f48,f45]) ).
fof(f52,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_y,tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f50,f14]) ).
fof(f53,plain,
( ! [X0] :
( ~ c_in(X0,c_Zorn_Ochain__extend__1(v_c,v_x,t_a),t_a)
| c_in(X0,v_y,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f52,f1]) ).
fof(f57,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_y,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f53,f2]) ).
fof(f59,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,t_a),v_x,t_a)
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f57,f18]) ).
fof(f61,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
| c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f59,f3]) ).
fof(f62,plain,
( c_lessequals(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_x,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f61]) ).
fof(f63,plain,
( ! [X0] :
( c_in(c_union(c_insert(v_x,c_emptyset,tc_set(t_a)),v_c,tc_set(t_a)),c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,X0,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_2 ),
inference(resolution,[],[f62,f5]) ).
fof(f67,plain,
( ! [X2,X0,X1] :
( ~ c_in(v_x,X0,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_x,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
| c_in(X1,X2,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f63,f7]) ).
fof(f68,plain,
( ! [X2,X0,X1] :
( ~ c_in(v_x,X0,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X1,v_x,t_a)
| c_in(X1,X2,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),v_c,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f63,f6]) ).
fof(f71,definition,
( spl0_3
<=> ! [X0] :
( ~ c_in(v_x,X0,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a))) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f72,plain,
( ! [X0] :
( ~ c_in(v_c,c_Zorn_Omaxchain(X0,t_a),tc_set(tc_set(t_a)))
| ~ c_in(v_x,X0,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(X0,t_a),tc_set(tc_set(t_a))) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f73,plain,
( spl0_1
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f68,f48,f71,f45]) ).
fof(f75,definition,
( spl0_4
<=> ! [X2,X1] :
( ~ c_in(X1,v_x,t_a)
| c_in(X1,X2,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a)) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f76,plain,
( ! [X2,X1] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X2,t_a),X2,tc_set(t_a))
| c_in(X1,X2,t_a)
| ~ c_in(X1,v_x,t_a) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f75]) ).
fof(f77,plain,
( spl0_4
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f67,f48,f71,f75]) ).
fof(f78,plain,
( ~ c_in(v_x,v_S,tc_set(t_a))
| ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(resolution,[],[f72,f8]) ).
fof(f79,plain,
( ~ c_in(v_c,c_Zorn_Ochain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f78,f10]) ).
fof(f80,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f79,f9]) ).
fof(f81,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f86,plain,
( ! [X0] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_c,tc_set(t_a))
| c_in(v_xa,X0,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f46,f12]) ).
fof(f87,plain,
( ! [X0] :
( c_lessequals(c_Zorn_Omaxchain__super__lemma__1(v_c,X0,t_a),v_y,tc_set(t_a))
| c_in(v_xa,X0,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f86,f14]) ).
fof(f89,plain,
( ! [X0,X1] :
( c_in(v_xa,v_y,t_a)
| ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
| c_in(X1,v_y,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f87,f36]) ).
fof(f90,plain,
( ! [X0,X1] :
( ~ c_in(X0,v_S,tc_set(t_a))
| ~ c_in(X1,X0,t_a)
| c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,tc_set(t_a))
| c_in(X1,v_y,t_a) )
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f89,f13]) ).
fof(f324,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,tc_set(t_a))
| c_in(X0,v_y,t_a) )
| ~ spl0_1 ),
inference(resolution,[],[f90,f10]) ).
fof(f496,plain,
( ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a)
| c_in(v_xa,v_y,t_a) )
| ~ spl0_1
| ~ spl0_4 ),
inference(resolution,[],[f76,f87]) ).
fof(f497,plain,
( ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a) )
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f496,f13]) ).
fof(f499,definition,
( spl0_33
<=> ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a) ) ),
introduced(definition,[new_symbols(definition,[spl0_33])],[avatar_definition]) ).
fof(f500,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a) )
| ~ spl0_33 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f504,plain,
( spl0_33
| ~ spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f497,f75,f45,f499]) ).
fof(f579,plain,
( c_in(v_xa,v_y,t_a)
| ~ spl0_33 ),
inference(resolution,[],[f500,f12]) ).
fof(f580,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[],[f579,f13]) ).
fof(f581,plain,
~ spl0_33,
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f598,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a) )
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f324,f49]) ).
fof(f599,plain,
( spl0_33
| ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f598,f48,f45,f499]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f51]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f73]) ).
cnf(s3,plain,
( ~ spl0_2
| spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f77]) ).
cnf(s4,plain,
~ spl0_3,
inference(sat_conversion,[],[f81]) ).
cnf(s57,plain,
( ~ spl0_1
| ~ spl0_4
| spl0_33 ),
inference(sat_conversion,[],[f504]) ).
cnf(s68,plain,
~ spl0_33,
inference(sat_conversion,[],[f581]) ).
cnf(s77,plain,
( ~ spl0_1
| spl0_2
| spl0_33 ),
inference(sat_conversion,[],[f599]) ).
cnf(s78,plain,
( ~ spl0_1
| ~ spl0_4 ),
inference(rat,[],[s57,s68]) ).
cnf(s83,plain,
( ~ spl0_2
| spl0_4 ),
inference(rat,[],[s3,s4]) ).
cnf(s84,plain,
( spl0_1
| ~ spl0_2 ),
inference(rat,[],[s2,s4]) ).
cnf(s85,plain,
spl0_1,
inference(rat,[],[s1,s84]) ).
cnf(s86,plain,
spl0_2,
inference(rat,[],[s77,s68,s85]) ).
cnf(s87,plain,
~ spl0_4,
inference(rat,[],[s78,s85]) ).
cnf(s103,plain,
$false,
inference(rat,[],[s83,s87,s86]) ).
fof(f600,plain,
$false,
inference(avatar_sat_refutation,[],[s103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET863-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 03:04:54 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.79/1.30 % (1826329)Input is clausal, will run a generic CNF schedule.
% 2.79/1.30 % (1826335)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=802775613:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.79/1.30 % (1826340)dis-21_1_sil=8000:lcm=predicate:random_seed=2022637225:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.79/1.30 % (1826336)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3463848361:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.79/1.30 % (1826337)lrs+10_1_sil=8000:sp=occurrence:random_seed=175704676:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.79/1.30 % (1826338)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=995996262:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.79/1.30 % (1826334)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=339080552:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.79/1.30 % (1826339)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4050840534:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.79/1.30 % (1826338)Refutation not found, incomplete strategy
% 2.79/1.30 % (1826338)------------------------------
% 2.79/1.30 % (1826338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.30 % (1826338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.30 % (1826338)CaDiCaL version: 2.1.3
% 2.79/1.30 % (1826338)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.30 % (1826338)Time elapsed: 0.001 s
% 2.79/1.30 % (1826338)Peak memory usage: 87 MB
% 2.79/1.30 % (1826337)First to succeed.
% 2.79/1.30 % (1826337)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1826329"
% 2.79/1.30 % (1826339)Also succeeded, but the first one will report.
% 2.79/1.30 % (1826340)Instruction limit reached!
% 2.79/1.30 % (1826340)------------------------------
% 2.79/1.30 % (1826340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.30 % (1826340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.30 % (1826340)CaDiCaL version: 2.1.3
% 2.79/1.30 % (1826340)Termination reason: Instruction limit
% 2.79/1.30 % (1826340)Termination phase: Saturation
% 2.79/1.30 % (1826340)Time elapsed: 0.068 s
% 2.79/1.30 % (1826340)Peak memory usage: 88 MB
% 2.79/1.30 % (1826340)Instructions burned: 117 (million)
% 2.79/1.30 % (1826348)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2739316052:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.79/1.30 % (1826348)Refutation not found, incomplete strategy
% 2.79/1.30 % (1826348)------------------------------
% 2.79/1.30 % (1826348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.79/1.30 % (1826348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.79/1.30 % (1826348)CaDiCaL version: 2.1.3
% 2.79/1.30 % (1826348)Termination reason: Refutation not found, incomplete strategy
% 2.79/1.30 % (1826348)Time elapsed: 0.002 s
% 2.79/1.30 % (1826348)Peak memory usage: 87 MB
% 2.79/1.30 % (1826348)Instructions burned: 1 (million)
% 2.79/1.30 % (1826338)------------------------------
% 2.79/1.30 % (1826338)------------------------------
% 2.79/1.30 % (1826337)Refutation found. Thanks to Tanya!
% 2.79/1.30 % SZS status Unsatisfiable for theBenchmark
% 2.79/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 3.59/1.39 % (1826337)------------------------------
% 3.59/1.39 % (1826337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.39 % (1826337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.39 % (1826337)CaDiCaL version: 2.1.3
% 3.59/1.39 % (1826337)Termination reason: Refutation
% 3.59/1.39 % (1826337)Time elapsed: 0.016 s
% 3.59/1.39 % (1826337)Peak memory usage: 89 MB
% 3.59/1.39 % (1826337)Instructions burned: 22 (million)
% 3.59/1.39 % (1826337)------------------------------
% 3.59/1.39 % (1826337)------------------------------
% 3.59/1.39 % (1826329)Success in time 0.442 s
% 3.59/1.39 % Vampire exiting
%------------------------------------------------------------------------------