%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n007.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 0.37s 0.47s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 20
% Syntax : Number of formulae : 100 ( 8 unt; 7 def)
% Number of atoms : 270 ( 14 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 309 ( 139 ~; 163 |; 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 : 86 ( 0 sgn 86 !; 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(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_Z,t_a)
| c_lessequals(v_X,X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f11,f48]) ).
fof(f53,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,[],[f49,f11]) ).
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,[],[f52,f12]) ).
fof(f57,plain,
( c_lessequals(v_X,v_Z,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f56]) ).
fof(f58,plain,
( spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f57,f19,f28]) ).
fof(f59,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,[],[f53,f12]) ).
fof(f60,plain,
( c_lessequals(v_X,v_Y,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f59]) ).
fof(f63,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f60,f19,f24]) ).
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_Y,t_a) )
| ~ spl0_3 ),
inference(resolution,[],[f10,f25]) ).
fof(f66,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_Z,t_a) )
| ~ spl0_6 ),
inference(resolution,[],[f10,f39]) ).
fof(f67,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,[],[f66,f11]) ).
fof(f111,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(f113,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,[],[f67,f11]) ).
fof(f121,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(f130,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X0,tc_set(X2)),
inference(duplicate_literal_removal,[],[f121]) ).
fof(f133,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(f142,plain,
! [X2,X0,X1] : c_lessequals(c_inter(X0,X1,X2),X1,tc_set(X2)),
inference(duplicate_literal_removal,[],[f133]) ).
fof(f145,plain,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X0,X2),X2),X1,X2)
| c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2))
| c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f111,f11]) ).
fof(f146,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),c_inter(X3,X0,X2),X2),X3,X2)
| c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X0,X2),tc_set(X2))
| c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f111,f50]) ).
fof(f154,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Z,t_a)
| ~ c_in(c_Main_OsubsetI__1(X0,v_X,t_a),v_Y,t_a)
| c_lessequals(X0,v_X,tc_set(t_a)) )
| ~ spl0_2 ),
inference(superposition,[],[f111,f21]) ).
fof(f161,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(c_inter(X0,X1,X2),c_inter(X3,X0,X2),X2),X3,X2)
| c_lessequals(c_inter(X0,X1,X2),c_inter(X3,X0,X2),tc_set(X2)) ),
inference(duplicate_literal_removal,[],[f146]) ).
fof(f162,plain,
! [X2,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_inter(X1,X0,X2),X2),X1,X2)
| c_lessequals(X0,c_inter(X1,X0,X2),tc_set(X2)) ),
inference(duplicate_literal_removal,[],[f145]) ).
fof(f218,plain,
( ~ c_in(c_Main_OsubsetI__1(v_x,v_X,t_a),v_Y,t_a)
| c_lessequals(v_x,v_X,tc_set(t_a))
| c_lessequals(v_x,v_X,tc_set(t_a))
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f154,f68]) ).
fof(f233,plain,
( ~ c_in(c_Main_OsubsetI__1(v_x,v_X,t_a),v_Y,t_a)
| c_lessequals(v_x,v_X,tc_set(t_a))
| ~ spl0_2
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f218]) ).
fof(f240,plain,
( c_lessequals(v_x,v_X,tc_set(t_a))
| ~ spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f233,f113]) ).
fof(f241,plain,
( $false
| ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f240,f34]) ).
fof(f242,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f241]) ).
fof(f266,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(f271,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_inter(X0,v_X,t_a),X1,t_a),v_Y,t_a)
| c_lessequals(c_inter(X0,v_X,t_a),X1,tc_set(t_a)) )
| ~ spl0_3 ),
inference(resolution,[],[f65,f51]) ).
fof(f356,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,[],[f142,f17]) ).
fof(f374,plain,
( c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))
| c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))
| ~ spl0_4 ),
inference(resolution,[],[f162,f266]) ).
fof(f384,plain,
( c_lessequals(v_X,c_inter(v_Z,v_X,t_a),tc_set(t_a))
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f398,plain,
( ~ c_lessequals(c_inter(v_Z,v_X,t_a),v_X,tc_set(t_a))
| v_X = c_inter(v_Z,v_X,t_a)
| ~ spl0_4 ),
inference(resolution,[],[f384,f14]) ).
fof(f400,plain,
( v_X = c_inter(v_Z,v_X,t_a)
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f398,f142]) ).
fof(f601,plain,
( ! [X0] :
( c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Y,X0,t_a),tc_set(t_a))
| c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Y,X0,t_a),tc_set(t_a)) )
| ~ spl0_3 ),
inference(resolution,[],[f161,f271]) ).
fof(f617,plain,
( ! [X0] : c_lessequals(c_inter(X0,v_X,t_a),c_inter(v_Y,X0,t_a),tc_set(t_a))
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f601]) ).
fof(f815,plain,
( c_lessequals(v_X,c_inter(v_Y,v_Z,t_a),tc_set(t_a))
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f617,f400]) ).
fof(f850,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,[],[f815,f14]) ).
fof(f852,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,[],[f850,f20]) ).
fof(f1008,plain,
( c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f356,f130]) ).
fof(f1009,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1008,f852]) ).
fof(f1010,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
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,[],[f58]) ).
cnf(s9,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f63]) ).
cnf(s14,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f242]) ).
cnf(s30,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f1010]) ).
cnf(s31,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_4 ),
inference(rat,[],[s14,s2,s3,s4]) ).
cnf(s32,plain,
~ spl0_2,
inference(rat,[],[s31,s7,s9]) ).
cnf(s33,plain,
spl0_3,
inference(rat,[],[s6,s32]) ).
cnf(s34,plain,
spl0_4,
inference(rat,[],[s5,s32]) ).
cnf(s35,plain,
spl0_1,
inference(rat,[],[s1,s32]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s30,s34,s32,s33,s35]) ).
fof(f1011,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.11/0.37 % Computer : n007.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 02:54:10 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.37/0.47 % (1982060)Will run a generic schedule for satisfiability detection.
% 0.37/0.47 % (1982069)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=909263253:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.37/0.47 % (1982066)% WARNING: option uhcvi not known.
% 0.37/0.47 % (1982070)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=610809693:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.37/0.47 % (1982066)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=744016342:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.37/0.47 % (1982067)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=857964133:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.37/0.47 % (1982068)dis+10_1_sil=32000:sp=arity:random_seed=1042119144:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.37/0.47 % (1982071)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=34218527:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.37/0.47 % (1982065)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1748674745_2999 on theBenchmark for (2999ds/0Mi)
% 0.37/0.47 % TRYING [1]
% 0.37/0.47 % TRYING [2]
% 0.37/0.47 % TRYING [3]
% 0.37/0.47 % TRYING [4]
% 0.37/0.47 % (1982068) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1982060-1982068"...
% 0.37/0.47 % (1982068)...printing done.
% 0.37/0.47 % (1982068)Refutation found. Thanks to Tanya!
% 0.37/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.37/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.37/0.47 % (1982068)------------------------------
% 0.37/0.47 % (1982068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.37/0.47 % (1982068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.37/0.47 % (1982068)CaDiCaL version: 2.1.3
% 0.37/0.47 % (1982068)Termination reason: Refutation
% 0.37/0.47 % (1982068)Time elapsed: 0.024 s
% 0.37/0.47 % (1982068)Peak memory usage: 12 MB
% 0.37/0.47 % (1982068)Instructions burned: 34 (million)
% 0.37/0.47 % (1982060)Success in time 0.059 s
% 0.37/0.47 % Vampire exiting
%------------------------------------------------------------------------------