%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET834-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:42:04 PM UTC 2026
% Result : Unsatisfiable 4.21s 1.59s
% Output : Refutation 5.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 20
% Syntax : Number of formulae : 81 ( 15 unt; 6 def)
% Number of atoms : 177 ( 15 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 168 ( 72 ~; 90 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 43 ( 0 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f199,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f200,axiom,
! [X2,X0,X1] :
( c_in(X0,c_uminus(X1,tc_set(X2)),X2)
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplI_0) ).
fof(f225,axiom,
! [X0,X1] : ~ c_in(X0,c_emptyset,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f227,axiom,
! [X2,X0,X1] : c_in(X0,c_insert(X0,X1,X2),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_1) ).
fof(f228,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_insert(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f375,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsingletonD__dest_0) ).
fof(f376,axiom,
! [X0,X1] : c_in(X0,c_insert(X0,c_emptyset,X1),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsingletonI_0) ).
fof(f378,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/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f379,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f380,axiom,
! [X2,X0,X1] :
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f1436,negated_conjecture,
c_in(v_x,v_X,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1437,negated_conjecture,
~ c_in(v_x,v_Z,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1438,negated_conjecture,
~ c_in(v_x,v_Y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1439,negated_conjecture,
! [X0] :
( c_lessequals(v_X,X0,tc_set(t_a))
| ~ c_lessequals(v_Z,X0,tc_set(t_a))
| ~ c_lessequals(v_Y,X0,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1691,plain,
! [X0,X1] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,X1,t_a)
| ~ c_lessequals(v_Z,X1,tc_set(t_a))
| ~ c_lessequals(v_Y,X1,tc_set(t_a)) ),
inference(resolution,[],[f378,f1439]) ).
fof(f1701,plain,
! [X0] :
( ~ c_lessequals(v_Z,X0,tc_set(t_a))
| c_in(v_x,X0,t_a)
| ~ c_lessequals(v_Y,X0,tc_set(t_a)) ),
inference(resolution,[],[f1691,f1436]) ).
fof(f1745,plain,
! [X0] :
( ~ c_lessequals(v_Y,X0,tc_set(t_a))
| c_in(v_x,X0,t_a)
| ~ c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),X0,t_a) ),
inference(resolution,[],[f1701,f380]) ).
fof(f1746,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_Z,t_a)
| ~ c_lessequals(v_Y,X0,tc_set(t_a))
| c_in(v_x,X0,t_a) ),
inference(resolution,[],[f1701,f379]) ).
fof(f1755,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(v_Y,X0,t_a),X0,t_a)
| ~ c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),X0,t_a)
| c_in(v_x,X0,t_a) ),
inference(resolution,[],[f1745,f380]) ).
fof(f1756,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(v_Y,X0,t_a),v_Y,t_a)
| ~ c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),X0,t_a)
| c_in(v_x,X0,t_a) ),
inference(resolution,[],[f1745,f379]) ).
fof(f1828,plain,
! [X0] :
( c_in(v_x,c_uminus(X0,tc_set(t_a)),t_a)
| ~ c_in(c_Main_OsubsetI__1(v_Z,c_uminus(X0,tc_set(t_a)),t_a),c_uminus(X0,tc_set(t_a)),t_a)
| c_in(c_Main_OsubsetI__1(v_Y,c_uminus(X0,tc_set(t_a)),t_a),X0,t_a) ),
inference(resolution,[],[f1755,f200]) ).
fof(f2083,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(v_Z,c_uminus(X0,tc_set(t_a)),t_a),c_uminus(X0,tc_set(t_a)),t_a)
| c_in(c_Main_OsubsetI__1(v_Y,c_uminus(X0,tc_set(t_a)),t_a),X0,t_a)
| ~ c_in(v_x,X0,t_a) ),
inference(resolution,[],[f1828,f199]) ).
fof(f2086,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(v_Z,c_uminus(X0,tc_set(t_a)),t_a),X0,t_a)
| ~ c_in(v_x,X0,t_a)
| c_in(c_Main_OsubsetI__1(v_Y,c_uminus(X0,tc_set(t_a)),t_a),X0,t_a) ),
inference(resolution,[],[f2083,f200]) ).
fof(f2089,plain,
! [X0] :
( c_in(c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(X0,c_emptyset,t_a),tc_set(t_a)),t_a),c_insert(X0,c_emptyset,t_a),t_a)
| ~ c_in(v_x,c_insert(X0,c_emptyset,t_a),t_a)
| c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(X0,c_emptyset,t_a),tc_set(t_a)),t_a) = X0 ),
inference(resolution,[],[f2086,f375]) ).
fof(f2125,plain,
! [X0] :
( ~ c_in(v_x,c_insert(X0,c_emptyset,t_a),t_a)
| c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(X0,c_emptyset,t_a),tc_set(t_a)),t_a) = X0
| c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(X0,c_emptyset,t_a),tc_set(t_a)),t_a) = X0 ),
inference(resolution,[],[f2089,f375]) ).
fof(f2128,plain,
( v_x = c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| v_x = c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a) ),
inference(resolution,[],[f2125,f227]) ).
fof(f2132,definition,
( spl0_20
<=> v_x = c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f2133,plain,
( v_x != c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| spl0_20 ),
inference(avatar_component_clause,[],[f2132]) ).
fof(f2134,plain,
( v_x = c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f2132]) ).
fof(f2136,definition,
( spl0_21
<=> v_x = c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_21])],[avatar_definition]) ).
fof(f2138,plain,
( v_x = c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| ~ spl0_21 ),
inference(avatar_component_clause,[],[f2136]) ).
fof(f2140,plain,
( spl0_20
| spl0_21 ),
inference(avatar_split_clause,[],[f2128,f2136,f2132]) ).
fof(f2232,plain,
( c_in(v_x,v_Y,t_a)
| ~ c_in(c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a),c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| c_in(v_x,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| ~ spl0_20 ),
inference(superposition,[],[f1756,f2134]) ).
fof(f2234,plain,
( ~ c_in(c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a),c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| c_in(v_x,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f2232,f1438]) ).
fof(f2237,definition,
( spl0_27
<=> c_in(c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a),c_insert(v_x,c_emptyset,t_a),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_27])],[avatar_definition]) ).
fof(f2239,plain,
( c_in(c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a),c_insert(v_x,c_emptyset,t_a),t_a)
| ~ spl0_27 ),
inference(avatar_component_clause,[],[f2237]) ).
fof(f2249,definition,
( spl0_30
<=> c_in(v_x,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f2250,plain,
( c_in(v_x,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f2251,plain,
( ~ c_in(v_x,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| spl0_30 ),
inference(avatar_component_clause,[],[f2249]) ).
fof(f2254,definition,
( spl0_31
<=> c_in(c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a),c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a) ),
introduced(definition,[new_symbols(definition,[spl0_31])],[avatar_definition]) ).
fof(f2256,plain,
( ~ c_in(c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a),c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| spl0_31 ),
inference(avatar_component_clause,[],[f2254]) ).
fof(f2257,plain,
( spl0_30
| ~ spl0_31
| ~ spl0_20 ),
inference(avatar_split_clause,[],[f2234,f2132,f2254,f2249]) ).
fof(f2328,plain,
( ~ c_in(v_x,c_insert(v_x,c_emptyset,t_a),t_a)
| ~ spl0_30 ),
inference(resolution,[],[f2250,f199]) ).
fof(f2329,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f2328,f376]) ).
fof(f2330,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f2329]) ).
fof(f2580,plain,
( c_in(c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a),c_insert(v_x,c_emptyset,t_a),t_a)
| spl0_31 ),
inference(resolution,[],[f2256,f200]) ).
fof(f2581,plain,
( spl0_27
| spl0_31 ),
inference(avatar_split_clause,[],[f2580,f2254,f2237]) ).
fof(f2582,plain,
( v_x = c_Main_OsubsetI__1(v_Z,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| ~ spl0_27 ),
inference(resolution,[],[f2239,f375]) ).
fof(f2583,plain,
( spl0_21
| ~ spl0_27 ),
inference(avatar_split_clause,[],[f2582,f2237,f2136]) ).
fof(f2597,plain,
( c_in(v_x,v_Z,t_a)
| ~ c_lessequals(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),tc_set(t_a))
| c_in(v_x,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| ~ spl0_21 ),
inference(superposition,[],[f1746,f2138]) ).
fof(f2598,plain,
( ~ c_lessequals(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),tc_set(t_a))
| c_in(v_x,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[],[f2597,f1437]) ).
fof(f2603,plain,
( ~ c_lessequals(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),tc_set(t_a))
| ~ spl0_21
| spl0_30 ),
inference(forward_subsumption_resolution,[],[f2598,f2251]) ).
fof(f2605,definition,
( spl0_70
<=> c_lessequals(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_70])],[avatar_definition]) ).
fof(f2607,plain,
( ~ c_lessequals(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),tc_set(t_a))
| spl0_70 ),
inference(avatar_component_clause,[],[f2605]) ).
fof(f2624,plain,
( ~ spl0_70
| ~ spl0_21
| spl0_30 ),
inference(avatar_split_clause,[],[f2603,f2249,f2136,f2605]) ).
fof(f2626,plain,
( ~ c_in(c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a),c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| spl0_70 ),
inference(resolution,[],[f2607,f380]) ).
fof(f2627,plain,
( c_in(c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a),v_Y,t_a)
| spl0_70 ),
inference(resolution,[],[f2607,f379]) ).
fof(f2629,plain,
( c_in(v_x,v_Y,t_a)
| ~ spl0_20
| spl0_70 ),
inference(forward_demodulation,[],[f2627,f2134]) ).
fof(f2631,plain,
( $false
| ~ spl0_20
| spl0_70 ),
inference(forward_subsumption_resolution,[],[f2629,f1438]) ).
fof(f2632,plain,
( ~ spl0_20
| spl0_70 ),
inference(avatar_contradiction_clause,[],[f2631]) ).
fof(f2851,plain,
( c_in(c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a),c_insert(v_x,c_emptyset,t_a),t_a)
| spl0_70 ),
inference(resolution,[],[f2626,f200]) ).
fof(f2854,plain,
( c_in(c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a),c_emptyset,t_a)
| v_x = c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| spl0_70 ),
inference(resolution,[],[f2851,f228]) ).
fof(f2855,plain,
( v_x = c_Main_OsubsetI__1(v_Y,c_uminus(c_insert(v_x,c_emptyset,t_a),tc_set(t_a)),t_a)
| spl0_70 ),
inference(forward_subsumption_resolution,[],[f2854,f225]) ).
fof(f2858,plain,
( $false
| spl0_20
| spl0_70 ),
inference(forward_subsumption_resolution,[],[f2855,f2133]) ).
fof(f2859,plain,
( spl0_20
| spl0_70 ),
inference(avatar_contradiction_clause,[],[f2858]) ).
cnf(s17,plain,
( spl0_20
| spl0_21 ),
inference(sat_conversion,[],[f2140]) ).
cnf(s21,plain,
( ~ spl0_20
| spl0_30
| ~ spl0_31 ),
inference(sat_conversion,[],[f2257]) ).
cnf(s26,plain,
~ spl0_30,
inference(sat_conversion,[],[f2330]) ).
cnf(s44,plain,
( spl0_27
| spl0_31 ),
inference(sat_conversion,[],[f2581]) ).
cnf(s45,plain,
( spl0_21
| ~ spl0_27 ),
inference(sat_conversion,[],[f2583]) ).
cnf(s50,plain,
( ~ spl0_21
| spl0_30
| ~ spl0_70 ),
inference(sat_conversion,[],[f2624]) ).
cnf(s51,plain,
( ~ spl0_20
| spl0_70 ),
inference(sat_conversion,[],[f2632]) ).
cnf(s68,plain,
( spl0_20
| spl0_70 ),
inference(sat_conversion,[],[f2859]) ).
cnf(s71,plain,
( ~ spl0_20
| ~ spl0_31 ),
inference(rat,[],[s21,s26]) ).
cnf(s74,plain,
spl0_20,
inference(rat,[],[s50,s17,s68,s26]) ).
cnf(s75,plain,
spl0_70,
inference(rat,[],[s51,s74]) ).
cnf(s76,plain,
~ spl0_31,
inference(rat,[],[s71,s74]) ).
cnf(s77,plain,
~ spl0_21,
inference(rat,[],[s50,s26,s75]) ).
cnf(s78,plain,
spl0_27,
inference(rat,[],[s44,s76]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s45,s78,s77]) ).
fof(f2860,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET834-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n013.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 28 02:55:37 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.21/1.59 % (763295)Input is clausal, will run a generic CNF schedule.
% 4.21/1.59 % (763306)dis-21_1_sil=8000:lcm=predicate:random_seed=2720968887:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.21/1.59 % (763301)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=241710641:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.21/1.59 % (763303)lrs+10_1_sil=8000:sp=occurrence:random_seed=4023365984:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.21/1.59 % (763300)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=386596094:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.21/1.59 % (763304)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2295611978:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.21/1.59 % (763302)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=213059800:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.21/1.59 % (763305)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=928452925:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.21/1.59 % (763303)Refutation not found, incomplete strategy
% 4.21/1.59 % (763303)------------------------------
% 4.21/1.59 % (763303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.59 % (763303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.59 % (763303)CaDiCaL version: 2.1.3
% 4.21/1.59 % (763303)Termination reason: Refutation not found, incomplete strategy
% 4.21/1.59 % (763303)Time elapsed: 0.003 s
% 4.21/1.59 % (763303)Peak memory usage: 89 MB
% 4.21/1.59 % (763303)Instructions burned: 3 (million)
% 4.21/1.59 % (763306)Instruction limit reached!
% 4.21/1.59 % (763306)------------------------------
% 4.21/1.59 % (763306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.59 % (763306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.59 % (763306)CaDiCaL version: 2.1.3
% 4.21/1.59 % (763306)Termination reason: Instruction limit
% 4.21/1.59 % (763306)Termination phase: Saturation
% 4.21/1.59 % (763306)Time elapsed: 0.039 s
% 4.21/1.59 % (763306)Peak memory usage: 90 MB
% 4.21/1.59 % (763306)Instructions burned: 120 (million)
% 4.21/1.59 % (763304)Instruction limit reached!
% 4.21/1.59 % (763304)------------------------------
% 4.21/1.59 % (763304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.59 % (763304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.59 % (763304)CaDiCaL version: 2.1.3
% 4.21/1.59 % (763304)Termination reason: Instruction limit
% 4.21/1.59 % (763304)Termination phase: Saturation
% 4.21/1.59 % (763304)Time elapsed: 0.069 s
% 4.21/1.59 % (763304)Peak memory usage: 89 MB
% 4.21/1.59 % (763304)Instructions burned: 115 (million)
% 4.21/1.59 % (763314)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=450375405:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.21/1.59 % (763314)Refutation not found, incomplete strategy
% 4.21/1.59 % (763314)------------------------------
% 4.21/1.59 % (763314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.59 % (763314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.59 % (763314)CaDiCaL version: 2.1.3
% 4.21/1.59 % (763314)Termination reason: Refutation not found, incomplete strategy
% 4.21/1.59 % (763314)Time elapsed: 0.002 s
% 4.21/1.59 % (763314)Peak memory usage: 89 MB
% 4.21/1.59 % (763314)Instructions burned: 3 (million)
% 4.21/1.59 % (763305)Instruction limit reached!
% 4.21/1.59 % (763305)------------------------------
% 4.21/1.59 % (763305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.59 % (763305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.59 % (763305)CaDiCaL version: 2.1.3
% 4.21/1.59 % (763305)Termination reason: Instruction limit
% 4.21/1.59 % (763305)Termination phase: Saturation
% 4.21/1.59 % (763305)Time elapsed: 0.129 s
% 4.21/1.59 % (763305)Peak memory usage: 90 MB
% 4.21/1.59 % (763305)Instructions burned: 180 (million)
% 4.21/1.59 % (763315)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2045028851:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.21/1.59 % (763303)------------------------------
% 4.21/1.59 % (763303)------------------------------
% 4.21/1.59 % (763317)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=134734016:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.21/1.59 % (763314)------------------------------
% 4.21/1.59 % (763314)------------------------------
% 4.21/1.59 % (763317)Refutation not found, incomplete strategy
% 4.21/1.59 % (763317)------------------------------
% 4.21/1.59 % (763317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.59 % (763317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.59 % (763317)CaDiCaL version: 2.1.3
% 4.21/1.59 % (763317)Termination reason: Refutation not found, incomplete strategy
% 4.21/1.59 % (763317)Time elapsed: 0.010 s
% 4.21/1.59 % (763317)Peak memory usage: 89 MB
% 4.21/1.59 % (763317)Instructions burned: 14 (million)
% 4.21/1.59 % (763315)Instruction limit reached!
% 4.21/1.59 % (763315)------------------------------
% 4.21/1.59 % (763315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.59 % (763315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.59 % (763315)CaDiCaL version: 2.1.3
% 4.21/1.59 % (763315)Termination reason: Instruction limit
% 4.21/1.59 % (763315)Termination phase: Saturation
% 4.21/1.59 % (763315)Time elapsed: 0.109 s
% 4.21/1.59 % (763315)Peak memory usage: 89 MB
% 4.21/1.59 % (763315)Instructions burned: 190 (million)
% 4.21/1.59 % (763319)lrs+10_64_to=lpo:sil=8000:random_seed=2745789543:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 4.21/1.59 % (763321)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4048846184:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.21/1.59 % (763321)First to succeed.
% 4.21/1.59 % (763321)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-763295"
% 4.21/1.59 % (763319)Instruction limit reached!
% 4.21/1.59 % (763319)------------------------------
% 4.21/1.59 % (763319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.59 % (763319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.59 % (763319)CaDiCaL version: 2.1.3
% 4.21/1.59 % (763319)Termination reason: Instruction limit
% 4.21/1.59 % (763319)Termination phase: Saturation
% 4.21/1.59 % (763319)Time elapsed: 0.079 s
% 4.21/1.59 % (763319)Peak memory usage: 90 MB
% 4.21/1.59 % (763319)Instructions burned: 128 (million)
% 4.21/1.59 % (763322)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2658467440:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.21/1.59 % (763317)------------------------------
% 4.21/1.59 % (763317)------------------------------
% 4.21/1.59 % (763322)Instruction limit reached!
% 4.21/1.59 % (763322)------------------------------
% 4.21/1.59 % (763322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.59 % (763322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.59 % (763322)CaDiCaL version: 2.1.3
% 4.21/1.59 % (763322)Termination reason: Instruction limit
% 4.21/1.59 % (763322)Termination phase: Saturation
% 4.21/1.59 % (763322)Time elapsed: 0.095 s
% 4.21/1.59 % (763322)Peak memory usage: 91 MB
% 4.21/1.59 % (763322)Instructions burned: 159 (million)
% 4.21/1.59 % (763321)Refutation found. Thanks to Tanya!
% 4.21/1.59 % SZS status Unsatisfiable for theBenchmark
% 4.21/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.72/1.78 % (763321)------------------------------
% 5.72/1.78 % (763321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.72/1.78 % (763321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.72/1.78 % (763321)CaDiCaL version: 2.1.3
% 5.72/1.78 % (763321)Termination reason: Refutation
% 5.72/1.78 % (763321)Time elapsed: 0.040 s
% 5.72/1.78 % (763321)Peak memory usage: 91 MB
% 5.72/1.78 % (763321)Instructions burned: 110 (million)
% 5.72/1.78 % (763321)------------------------------
% 5.72/1.78 % (763321)------------------------------
% 5.72/1.78 % (763295)Success in time 0.753 s
% 5.72/1.78 % Vampire exiting
%------------------------------------------------------------------------------