%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET831-2 : 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 : n010.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 12:42:03 PM UTC 2026
% Result : Unsatisfiable 5.47s 1.73s
% Output : Refutation 6.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 96 ( 8 unt; 7 def)
% Number of atoms : 267 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 310 ( 139 ~; 164 |; 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(f1,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(f2,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(f3,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(f4,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(f5,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(f6,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(f7,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_0) ).
fof(f8,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_inter(X1,X2,X3),X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OIntE_1) ).
fof(f9,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/theBenchmark.p',cls_Set_OIntI_0) ).
fof(f10,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(f11,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(f12,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(f13,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/theBenchmark.p',cls_Set_Osubset__antisym_0) ).
fof(f14,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2))
| X0 = X1 ),
inference(reorient_equations,[],[f13]) ).
fof(f16,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(f17,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,[],[f16]) ).
fof(f19,definition,
( spl0_2
<=> v_X = c_inter(v_Y,v_Z,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f20,plain,
( v_X != c_inter(v_Y,v_Z,t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f21,plain,
( v_X = c_inter(v_Y,v_Z,t_a)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f19]) ).
fof(f22,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f6,f19,f16]) ).
fof(f24,definition,
( spl0_3
<=> c_lessequals(v_X,v_Y,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f25,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( ~ c_lessequals(v_X,v_Y,tc_set(t_a))
| spl0_3 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f28,definition,
( spl0_4
<=> c_lessequals(v_X,v_Z,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f29,plain,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f32,definition,
( spl0_5
<=> c_lessequals(v_x,v_X,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f34,plain,
( ~ c_lessequals(v_x,v_X,tc_set(t_a))
| spl0_5 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f35,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f5,f32,f28,f24,f19]) ).
fof(f37,definition,
( spl0_6
<=> c_lessequals(v_x,v_Z,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f39,plain,
( c_lessequals(v_x,v_Z,tc_set(t_a))
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f40,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f4,f37,f28,f24,f19]) ).
fof(f42,definition,
( spl0_7
<=> c_lessequals(v_x,v_Y,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f44,plain,
( c_lessequals(v_x,v_Y,tc_set(t_a))
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f45,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f3,f42,f28,f24,f19]) ).
fof(f46,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f2,f19,f28]) ).
fof(f47,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f1,f19,f24]) ).
fof(f48,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl0_2 ),
inference(superposition,[],[f7,f21]) ).
fof(f49,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl0_2 ),
inference(superposition,[],[f8,f21]) ).
fof(f50,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,[],[f11,f8]) ).
fof(f51,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,[],[f11,f7]) ).
fof(f52,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,[],[f11,f49]) ).
fof(f53,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,[],[f11,f48]) ).
fof(f55,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,[],[f12,f52]) ).
fof(f56,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,[],[f12,f53]) ).
fof(f57,plain,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f56]) ).
fof(f58,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f55]) ).
fof(f60,plain,
( spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f57,f19,f28]) ).
fof(f61,plain,
( $false
| ~ spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f58,f26]) ).
fof(f62,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f61]) ).
fof(f63,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl0_3 ),
inference(resolution,[],[f10,f25]) ).
fof(f64,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl0_4 ),
inference(resolution,[],[f10,f29]) ).
fof(f65,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl0_6 ),
inference(resolution,[],[f10,f39]) ).
fof(f66,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl0_7 ),
inference(resolution,[],[f10,f44]) ).
fof(f68,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,[],[f65,f11]) ).
fof(f69,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,[],[f66,f11]) ).
fof(f117,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,[],[f9,f12]) ).
fof(f118,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,[],[f9,f21]) ).
fof(f120,plain,
( ! [X0] :
( ~ 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)
| c_lessequals(v_x,X0,tc_set(t_a)) )
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f118,f68]) ).
fof(f122,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,[],[f120,f69]) ).
fof(f123,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,[],[f122,f12]) ).
fof(f126,plain,
( c_lessequals(v_x,v_X,tc_set(t_a))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(duplicate_literal_removal,[],[f123]) ).
fof(f127,plain,
( $false
| ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f126,f34]) ).
fof(f128,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f129,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,[],[f63,f11]) ).
fof(f130,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,[],[f64,f11]) ).
fof(f158,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,[],[f50,f12]) ).
fof(f166,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
inference(duplicate_literal_removal,[],[f158]) ).
fof(f214,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,[],[f51,f12]) ).
fof(f228,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
inference(duplicate_literal_removal,[],[f214]) ).
fof(f396,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))
| c_lessequals(v_X,c_inter(X0,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_4 ),
inference(resolution,[],[f117,f130]) ).
fof(f416,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,[],[f396]) ).
fof(f444,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,[],[f416,f129]) ).
fof(f448,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,[],[f444]) ).
fof(f461,plain,
( ~ c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| v_X = c_inter(v_Y,v_Z,t_a)
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f448,f14]) ).
fof(f463,plain,
( ~ c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f461,f20]) ).
fof(f1299,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,[],[f228,f17]) ).
fof(f1458,plain,
( c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f1299,f166]) ).
fof(f1461,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1458,f463]) ).
fof(f1462,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1461]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f22]) ).
cnf(s2,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f35]) ).
cnf(s3,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_6 ),
inference(sat_conversion,[],[f40]) ).
cnf(s4,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| spl0_7 ),
inference(sat_conversion,[],[f45]) ).
cnf(s5,plain,
( spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f46]) ).
cnf(s6,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f47]) ).
cnf(s7,plain,
( ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f60]) ).
cnf(s8,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f62]) ).
cnf(s13,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f128]) ).
cnf(s66,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f1462]) ).
cnf(s67,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_4 ),
inference(rat,[],[s13,s2,s3,s4]) ).
cnf(s68,plain,
~ spl0_2,
inference(rat,[],[s67,s7,s8]) ).
cnf(s69,plain,
spl0_3,
inference(rat,[],[s6,s68]) ).
cnf(s70,plain,
spl0_4,
inference(rat,[],[s5,s68]) ).
cnf(s71,plain,
spl0_1,
inference(rat,[],[s1,s68]) ).
cnf(s72,plain,
$false,
inference(rat,[],[s66,s70,s68,s69,s71]) ).
fof(f1463,plain,
$false,
inference(avatar_sat_refutation,[],[s72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET831-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n010.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 02:56:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 5.47/1.73 % (1516332)Input is clausal, will run a generic CNF schedule.
% 5.47/1.73 % (1516341)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=261723838:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.47/1.73 % (1516341)Refutation not found, incomplete strategy
% 5.47/1.73 % (1516341)------------------------------
% 5.47/1.73 % (1516341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.73 % (1516341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.73 % (1516341)CaDiCaL version: 2.1.3
% 5.47/1.73 % (1516341)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.73 % (1516341)Time elapsed: 0.001 s
% 5.47/1.73 % (1516341)Peak memory usage: 88 MB
% 5.47/1.73 % (1516341)Instructions burned: 1 (million)
% 5.47/1.73 % (1516338)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2698889246:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.47/1.73 % (1516343)dis-21_1_sil=8000:lcm=predicate:random_seed=1327963299: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)
% 5.47/1.73 % (1516339)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1931548866:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.47/1.73 % (1516340)lrs+10_1_sil=8000:sp=occurrence:random_seed=1363930616:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.47/1.73 % (1516337)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=1861356378:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.47/1.73 % (1516342)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1874889248:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.47/1.73 % (1516340)Refutation not found, incomplete strategy
% 5.47/1.73 % (1516340)------------------------------
% 5.47/1.73 % (1516340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.73 % (1516340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.73 % (1516340)CaDiCaL version: 2.1.3
% 5.47/1.73 % (1516340)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.73 % (1516340)Time elapsed: 0.001 s
% 5.47/1.73 % (1516340)Peak memory usage: 88 MB
% 5.47/1.73 % (1516343)Instruction limit reached!
% 5.47/1.73 % (1516343)------------------------------
% 5.47/1.73 % (1516343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.73 % (1516343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.73 % (1516343)CaDiCaL version: 2.1.3
% 5.47/1.73 % (1516343)Termination reason: Instruction limit
% 5.47/1.73 % (1516343)Termination phase: Saturation
% 5.47/1.73 % (1516343)Time elapsed: 0.071 s
% 5.47/1.73 % (1516343)Peak memory usage: 88 MB
% 5.47/1.73 % (1516343)Instructions burned: 118 (million)
% 5.47/1.73 % (1516341)------------------------------
% 5.47/1.73 % (1516341)------------------------------
% 5.47/1.73 % (1516342)Instruction limit reached!
% 5.47/1.73 % (1516342)------------------------------
% 5.47/1.73 % (1516342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.73 % (1516342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.73 % (1516342)CaDiCaL version: 2.1.3
% 5.47/1.73 % (1516342)Termination reason: Instruction limit
% 5.47/1.73 % (1516342)Termination phase: Saturation
% 5.47/1.73 % (1516342)Time elapsed: 0.112 s
% 5.47/1.73 % (1516342)Peak memory usage: 89 MB
% 5.47/1.73 % (1516342)Instructions burned: 180 (million)
% 5.47/1.73 % (1516351)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=1079307379:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.47/1.73 % (1516351)Refutation not found, incomplete strategy
% 5.47/1.73 % (1516351)------------------------------
% 5.47/1.73 % (1516351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.73 % (1516351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.73 % (1516351)CaDiCaL version: 2.1.3
% 5.47/1.73 % (1516351)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.73 % (1516351)Time elapsed: 0.004 s
% 5.47/1.73 % (1516351)Peak memory usage: 88 MB
% 5.47/1.73 % (1516351)Instructions burned: 4 (million)
% 5.47/1.73 % (1516352)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2202609826: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)
% 5.47/1.73 % (1516340)------------------------------
% 5.47/1.73 % (1516340)------------------------------
% 5.47/1.73 % (1516353)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2733065535:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.47/1.73 % (1516353)Refutation not found, incomplete strategy
% 5.47/1.73 % (1516353)------------------------------
% 5.47/1.73 % (1516353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.73 % (1516353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.73 % (1516353)CaDiCaL version: 2.1.3
% 5.47/1.73 % (1516353)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.73 % (1516353)Time elapsed: 0.004 s
% 5.47/1.73 % (1516353)Peak memory usage: 88 MB
% 5.47/1.73 % (1516353)Instructions burned: 4 (million)
% 5.47/1.73 % (1516352)Instruction limit reached!
% 5.47/1.73 % (1516352)------------------------------
% 5.47/1.73 % (1516352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.73 % (1516352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.73 % (1516352)CaDiCaL version: 2.1.3
% 5.47/1.73 % (1516352)Termination reason: Instruction limit
% 5.47/1.73 % (1516352)Termination phase: Saturation
% 5.47/1.73 % (1516352)Time elapsed: 0.055 s
% 5.47/1.73 % (1516352)Peak memory usage: 90 MB
% 5.47/1.73 % (1516352)Instructions burned: 192 (million)
% 5.47/1.73 % (1516358)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=101734427:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.47/1.73 % (1516356)lrs+10_64_to=lpo:sil=8000:random_seed=1574831887:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.47/1.73 % (1516356)First to succeed.
% 5.47/1.73 % (1516356)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1516332"
% 5.47/1.73 % (1516351)------------------------------
% 5.47/1.73 % (1516351)------------------------------
% 5.47/1.73 % (1516358)Instruction limit reached!
% 5.47/1.73 % (1516358)------------------------------
% 5.47/1.73 % (1516358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.73 % (1516358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.73 % (1516358)CaDiCaL version: 2.1.3
% 5.47/1.73 % (1516358)Termination reason: Instruction limit
% 5.47/1.73 % (1516358)Termination phase: Saturation
% 5.47/1.73 % (1516358)Time elapsed: 0.065 s
% 5.47/1.73 % (1516358)Peak memory usage: 89 MB
% 5.47/1.73 % (1516358)Instructions burned: 195 (million)
% 5.47/1.73 % (1516353)------------------------------
% 5.47/1.73 % (1516353)------------------------------
% 5.47/1.73 % (1516362)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2288456598:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.47/1.73 % (1516338)Refutation not found, incomplete strategy
% 5.47/1.73 % (1516338)------------------------------
% 5.47/1.73 % (1516338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.47/1.73 % (1516338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.47/1.73 % (1516338)CaDiCaL version: 2.1.3
% 5.47/1.73 % (1516338)Termination reason: Refutation not found, incomplete strategy
% 5.47/1.73 % (1516338)Time elapsed: 0.582 s
% 5.47/1.73 % (1516338)Peak memory usage: 125 MB
% 5.47/1.73 % (1516338)Instructions burned: 860 (million)
% 5.47/1.73 % (1516361)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1699078088:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 5.47/1.73 % (1516361)Also succeeded, but the first one will report.
% 5.47/1.73 % (1516363)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=284877242:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 5.47/1.73 % (1516337)Also succeeded, but the first one will report.
% 5.47/1.73 % (1516356)Refutation found. Thanks to Tanya!
% 5.47/1.73 % SZS status Unsatisfiable for theBenchmark
% 5.47/1.73 % SZS output start Proof for theBenchmark
% See solution above
% 6.87/1.93 % (1516356)------------------------------
% 6.87/1.93 % (1516356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/1.93 % (1516356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/1.93 % (1516356)CaDiCaL version: 2.1.3
% 6.87/1.93 % (1516356)Termination reason: Refutation
% 6.87/1.93 % (1516356)Time elapsed: 0.045 s
% 6.87/1.93 % (1516356)Peak memory usage: 90 MB
% 6.87/1.93 % (1516356)Instructions burned: 69 (million)
% 6.87/1.93 % (1516356)------------------------------
% 6.87/1.93 % (1516356)------------------------------
% 6.87/1.93 % (1516332)Success in time 0.89 s
% 6.87/1.93 % Vampire exiting
%------------------------------------------------------------------------------