%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET831-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n002.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 12:44:44 PM UTC 2026
% Result : Unsatisfiable 1.63s 0.71s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 98 ( 8 unt; 7 def)
% Number of atoms : 270 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 311 ( 139 ~; 165 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 8 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f207,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntE_0) ).
fof(f208,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntE_1) ).
fof(f209,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_inter(X3,X1,X2),X2)
| ~ c_in(X0,X3,X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-2.ax',cls_Set_OIntI_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/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetD_0) ).
fof(f379,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/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).
fof(f380,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/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
fof(f381,axiom,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,tc_set(X2))
| ~ c_lessequals(X1,X0,tc_set(X2))
| X1 = X0 ),
file('/export/starexec/sandbox2/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).
fof(f382,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2))
| X0 = X1 ),
inference(reorient_equations,[],[f381]) ).
fof(f1434,negated_conjecture,
( v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(v_X,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1435,negated_conjecture,
( v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(v_X,v_Z,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1436,negated_conjecture,
( c_lessequals(v_x,v_Y,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1437,negated_conjecture,
( c_lessequals(v_x,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1438,negated_conjecture,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| v_X != c_inter(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1439,negated_conjecture,
! [X0] :
( v_X = c_inter(v_Y,v_Z,t_a)
| c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_lessequals(X0,v_Z,tc_set(t_a))
| ~ c_lessequals(X0,v_Y,tc_set(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1441,definition,
( spl0_1
<=> ! [X0] :
( c_lessequals(X0,v_X,tc_set(t_a))
| ~ c_lessequals(X0,v_Y,tc_set(t_a))
| ~ c_lessequals(X0,v_Z,tc_set(t_a)) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1442,plain,
( ! [X0] :
( ~ c_lessequals(X0,v_Z,tc_set(t_a))
| ~ c_lessequals(X0,v_Y,tc_set(t_a))
| c_lessequals(X0,v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1444,definition,
( spl0_2
<=> v_X = c_inter(v_Y,v_Z,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1445,plain,
( v_X != c_inter(v_Y,v_Z,t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1446,plain,
( v_X = c_inter(v_Y,v_Z,t_a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1447,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f1439,f1444,f1441]) ).
fof(f1449,definition,
( spl0_3
<=> c_lessequals(v_X,v_Y,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1450,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1451,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| spl0_3 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1453,definition,
( spl0_4
<=> c_lessequals(v_X,v_Z,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1454,plain,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1453]) ).
fof(f1455,plain,
( ~ c_lessequals(v_X,v_Z,tc_set(t_a))
| spl0_4 ),
inference(avatar_component_clause,[],[f1453]) ).
fof(f1457,definition,
( spl0_5
<=> c_lessequals(v_x,v_X,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f1459,plain,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| spl0_5 ),
inference(avatar_component_clause,[],[f1457]) ).
fof(f1460,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f1438,f1457,f1453,f1449,f1444]) ).
fof(f1462,definition,
( spl0_6
<=> c_lessequals(v_x,v_Z,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1464,plain,
( c_lessequals(v_x,v_Z,tc_set(t_a))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1465,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f1437,f1462,f1453,f1449,f1444]) ).
fof(f1467,definition,
( spl0_7
<=> c_lessequals(v_x,v_Y,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1469,plain,
( c_lessequals(v_x,v_Y,tc_set(t_a))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1467]) ).
fof(f1470,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f1436,f1467,f1453,f1449,f1444]) ).
fof(f1471,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f1435,f1444,f1453]) ).
fof(f1472,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f1434,f1444,f1449]) ).
fof(f1473,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl0_2 ),
inference(superposition,[],[f207,f1446]) ).
fof(f1474,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl0_2 ),
inference(superposition,[],[f208,f1446]) ).
fof(f1486,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl0_6 ),
inference(resolution,[],[f378,f1464]) ).
fof(f1487,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl0_7 ),
inference(resolution,[],[f378,f1469]) ).
fof(f1526,plain,
( ! [X0] :
( ~ c_in(X0,v_Z,t_a)
| ~ c_in(X0,v_Y,t_a)
| c_in(X0,v_X,t_a) )
| ~ spl0_2 ),
inference(superposition,[],[f209,f1446]) ).
fof(f2176,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X0,X2)
| c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
inference(resolution,[],[f379,f208]) ).
fof(f2177,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),X3,X2),X1,X2)
| c_lessequals(c_inter(X0,X1,X2),X3,tc_set(X2)) ),
inference(resolution,[],[f379,f207]) ).
fof(f2178,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f379,f1474]) ).
fof(f2179,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f379,f1473]) ).
fof(f2181,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Y,t_a)
| c_lessequals(v_x,X0,tc_set(t_a)) )
| ~ spl0_7 ),
inference(resolution,[],[f379,f1487]) ).
fof(f2182,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Z,t_a)
| c_lessequals(v_x,X0,tc_set(t_a)) )
| ~ spl0_6 ),
inference(resolution,[],[f379,f1486]) ).
fof(f2200,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X2,X3),X3),X2,X3)
| ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X2,X3),X3),X1,X3)
| c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f380,f209]) ).
fof(f2205,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f380,f2178]) ).
fof(f2208,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f2205]) ).
fof(f2225,plain,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f2179,f380]) ).
fof(f2226,plain,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f2225]) ).
fof(f2227,plain,
! [X2,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)) ),
inference(resolution,[],[f2176,f380]) ).
fof(f2247,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
inference(duplicate_literal_removal,[],[f2227]) ).
fof(f2420,plain,
( ! [X0] :
( c_lessequals(v_x,X0,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_Y,t_a)
| c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_X,t_a) )
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f2182,f1526]) ).
fof(f2422,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_x,X0,t_a),v_X,t_a)
| c_lessequals(v_x,X0,tc_set(t_a)) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f2420,f2181]) ).
fof(f2423,plain,
( c_lessequals(v_x,v_X,tc_set(t_a))
| c_lessequals(v_x,v_X,tc_set(t_a))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f2422,f380]) ).
fof(f2426,plain,
( c_lessequals(v_x,v_X,tc_set(t_a))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f2423]) ).
fof(f2427,plain,
( $false
| ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f2426,f1459]) ).
fof(f2428,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2427]) ).
fof(f2429,plain,
( $false
| ~ spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1451,f2208]) ).
fof(f2430,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f2429]) ).
fof(f2436,plain,
( $false
| ~ spl0_2
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f1455,f2226]) ).
fof(f2437,plain,
( ~ spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f2436]) ).
fof(f2442,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl0_3 ),
inference(resolution,[],[f1450,f378]) ).
fof(f2640,plain,
! [X2,X0,X1] :
( c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)) ),
inference(resolution,[],[f2177,f380]) ).
fof(f2655,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
inference(duplicate_literal_removal,[],[f2640]) ).
fof(f3239,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl0_4 ),
inference(resolution,[],[f1454,f378]) ).
fof(f3267,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) )
| ~ spl0_3 ),
inference(resolution,[],[f2442,f379]) ).
fof(f3274,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Z,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) )
| ~ spl0_4 ),
inference(resolution,[],[f3239,f379]) ).
fof(f3282,plain,
( ! [X0] :
( ~ c_lessequals(c_inter(X0,v_Z,t_a),v_Y,tc_set(t_a))
| c_lessequals(c_inter(X0,v_Z,t_a),v_X,tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f1442,f2655]) ).
fof(f3331,plain,
( ! [X0] :
( c_lessequals(v_X,c_inter(X0,v_Z,t_a),tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(X0,v_Z,t_a),t_a),X0,t_a)
| c_lessequals(v_X,c_inter(X0,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_4 ),
inference(resolution,[],[f3274,f2200]) ).
fof(f3332,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(v_X,c_inter(X0,v_Z,t_a),t_a),X0,t_a)
| c_lessequals(v_X,c_inter(X0,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f3331]) ).
fof(f3398,plain,
( c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f3282,f2247]) ).
fof(f3405,plain,
( ~ c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a)
| ~ spl0_1 ),
inference(resolution,[],[f3398,f382]) ).
fof(f3407,plain,
( ~ c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| ~ spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f3405,f1445]) ).
fof(f4044,plain,
( c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f3332,f3267]) ).
fof(f4067,plain,
( c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| ~ spl0_3
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f4044]) ).
fof(f4072,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f4067,f3407]) ).
fof(f4073,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f4072]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f1447]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f1460]) ).
cnf(s3,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f1465]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f1470]) ).
cnf(s5,plain,
( spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f1471]) ).
cnf(s6,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s19,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f2428]) ).
cnf(s20,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f2430]) ).
cnf(s22,plain,
( ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f2437]) ).
cnf(s36,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f4073]) ).
cnf(s37,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_4 ),
inference(rat,[],[s19,s2,s3,s4]) ).
cnf(s38,plain,
~ spl0_2,
inference(rat,[],[s37,s20,s22]) ).
cnf(s39,plain,
spl0_3,
inference(rat,[],[s6,s38]) ).
cnf(s40,plain,
spl0_4,
inference(rat,[],[s5,s38]) ).
cnf(s41,plain,
spl0_1,
inference(rat,[],[s1,s38]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s36,s40,s38,s41,s39]) ).
fof(f4075,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET831-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n002.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 02:58:52 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.63/0.71 % (4111171)Will run a generic schedule for satisfiability detection.
% 1.63/0.71 % (4111179)dis+10_1_sil=32000:sp=arity:random_seed=1142042998:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.63/0.71 % (4111177)% WARNING: option uhcvi not known.
% 1.63/0.71 % (4111180)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3975172727:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.63/0.71 % (4111176)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1889965594_2999 on theBenchmark for (2999ds/0Mi)
% 1.63/0.71 % (4111177)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2193740957:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.63/0.71 % (4111178)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2962615326:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.63/0.71 % (4111181)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1911652800:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.63/0.71 % (4111182)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4229144670:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.63/0.71 % (4111179)Instruction limit reached!
% 1.63/0.71 % (4111179)------------------------------
% 1.63/0.71 % (4111179)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (4111179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (4111179)CaDiCaL version: 2.1.3
% 1.63/0.71 % (4111179)Termination reason: Instruction limit
% 1.63/0.71 % (4111179)Termination phase: Saturation
% 1.63/0.71 % (4111179)Time elapsed: 0.040 s
% 1.63/0.71 % (4111179)Peak memory usage: 14 MB
% 1.63/0.71 % (4111179)Instructions burned: 105 (million)
% 1.63/0.71 % (4111190)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=873297624:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.63/0.71 % TRYING [1]
% 1.63/0.71 % TRYING [2]
% 1.63/0.71 % TRYING [1]
% 1.63/0.71 % (4111180)Instruction limit reached!
% 1.63/0.71 % (4111180)------------------------------
% 1.63/0.71 % (4111180)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (4111180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (4111180)CaDiCaL version: 2.1.3
% 1.63/0.71 % (4111180)Termination reason: Instruction limit
% 1.63/0.71 % (4111180)Termination phase: Saturation
% 1.63/0.71 % (4111180)Time elapsed: 0.075 s
% 1.63/0.71 % (4111180)Peak memory usage: 14 MB
% 1.63/0.71 % (4111180)Instructions burned: 117 (million)
% 1.63/0.71 % TRYING [2]
% 1.63/0.71 % (4111181)Instruction limit reached!
% 1.63/0.71 % (4111181)------------------------------
% 1.63/0.71 % (4111181)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (4111181)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (4111181)CaDiCaL version: 2.1.3
% 1.63/0.71 % (4111181)Termination reason: Instruction limit
% 1.63/0.71 % (4111181)Termination phase: Saturation
% 1.63/0.71 % (4111181)Time elapsed: 0.081 s
% 1.63/0.71 % (4111181)Peak memory usage: 15 MB
% 1.63/0.71 % (4111181)Instructions burned: 132 (million)
% 1.63/0.71 % (4111192)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=688086349:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.63/0.71 % TRYING [3]
% 1.63/0.71 % TRYING [3]
% 1.63/0.71 % (4111194)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=2558693109:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.63/0.71 % (4111182)Instruction limit reached!
% 1.63/0.71 % (4111182)------------------------------
% 1.63/0.71 % (4111182)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (4111182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (4111182)CaDiCaL version: 2.1.3
% 1.63/0.71 % (4111182)Termination reason: Instruction limit
% 1.63/0.71 % (4111182)Termination phase: Saturation
% 1.63/0.71 % (4111182)Time elapsed: 0.137 s
% 1.63/0.71 % (4111182)Peak memory usage: 14 MB
% 1.63/0.71 % (4111182)Instructions burned: 160 (million)
% 1.63/0.71 % (4111204)ott-21_1_sil=16000:fs=off:random_seed=2553141606:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.63/0.71 % (4111192)Instruction limit reached!
% 1.63/0.71 % (4111192)------------------------------
% 1.63/0.71 % (4111192)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (4111192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (4111192)CaDiCaL version: 2.1.3
% 1.63/0.71 % (4111192)Termination reason: Instruction limit
% 1.63/0.71 % (4111192)Termination phase: Saturation
% 1.63/0.71 % (4111192)Time elapsed: 0.119 s
% 1.63/0.71 % (4111192)Peak memory usage: 15 MB
% 1.63/0.71 % (4111192)Instructions burned: 131 (million)
% 1.63/0.71 % (4111190)Instruction limit reached!
% 1.63/0.71 % (4111190)------------------------------
% 1.63/0.71 % (4111190)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.71 % (4111190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.71 % (4111190)CaDiCaL version: 2.1.3
% 1.63/0.71 % (4111190)Termination reason: Instruction limit
% 1.63/0.71 % (4111190)Termination phase: Finite model building constraint generation
% 1.63/0.71 % (4111190)Time elapsed: 0.173 s
% 1.63/0.71 % (4111190)Peak memory usage: 48 MB
% 1.63/0.71 % (4111190)Instructions burned: 716 (million)
% 1.63/0.71 % (4111194) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4111171-4111194"...
% 1.63/0.71 % (4111194)...printing done.
% 1.63/0.71 % (4111194)Refutation found. Thanks to Tanya!
% 1.63/0.71 % SZS status Unsatisfiable for theBenchmark
% 1.63/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.72 % (4111194)------------------------------
% 1.63/0.72 % (4111194)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.72 % (4111194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.72 % (4111194)CaDiCaL version: 2.1.3
% 1.63/0.72 % (4111194)Termination reason: Refutation
% 1.63/0.72 % (4111194)Time elapsed: 0.119 s
% 1.63/0.72 % (4111194)Peak memory usage: 14 MB
% 1.63/0.72 % (4111194)Instructions burned: 120 (million)
% 1.63/0.72 % (4111171)Success in time 0.292 s
% 1.63/0.72 % Vampire exiting
%------------------------------------------------------------------------------