%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET837-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 12:44:45 PM UTC 2026
% Result : Unsatisfiable 1.17s 0.61s
% Output : Refutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 21
% Syntax : Number of formulae : 105 ( 9 unt; 8 def)
% Number of atoms : 285 ( 12 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 319 ( 139 ~; 172 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 72 ( 0 sgn 72 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f215,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X3,X1,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_0) ).
fof(f216,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,c_union(X1,X3,X2),X2)
| ~ c_in(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnCI_1) ).
fof(f217,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X0,c_union(X1,X2,X3),X3)
| c_in(X0,X2,X3)
| c_in(X0,X1,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_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/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/sandbox/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/sandbox/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/sandbox/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_union(v_Y,v_Z,t_a)
| c_lessequals(v_Y,v_X,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1435,negated_conjecture,
( v_X = c_union(v_Y,v_Z,t_a)
| c_lessequals(v_Z,v_X,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1436,negated_conjecture,
( c_lessequals(v_Y,v_x,tc_set(t_a))
| ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1437,negated_conjecture,
( c_lessequals(v_Z,v_x,tc_set(t_a))
| ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1438,negated_conjecture,
( ~ c_lessequals(v_X,v_x,tc_set(t_a))
| ~ c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| v_X != c_union(v_Y,v_Z,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1439,negated_conjecture,
! [X0] :
( v_X = c_union(v_Y,v_Z,t_a)
| 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(f1441,definition,
( spl0_1
<=> ! [X0] :
( c_lessequals(v_X,X0,tc_set(t_a))
| ~ c_lessequals(v_Y,X0,tc_set(t_a))
| ~ c_lessequals(v_Z,X0,tc_set(t_a)) ) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1442,plain,
( ! [X0] :
( ~ c_lessequals(v_Z,X0,tc_set(t_a))
| ~ c_lessequals(v_Y,X0,tc_set(t_a))
| c_lessequals(v_X,X0,tc_set(t_a)) )
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1444,definition,
( spl0_2
<=> v_X = c_union(v_Y,v_Z,t_a) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1445,plain,
( v_X != c_union(v_Y,v_Z,t_a)
| spl0_2 ),
inference(avatar_component_clause,[],[f1444]) ).
fof(f1446,plain,
( v_X = c_union(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_Y,v_X,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1450,plain,
( c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1451,plain,
( ~ c_lessequals(v_Y,v_X,tc_set(t_a))
| spl0_3 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1453,definition,
( spl0_4
<=> c_lessequals(v_Z,v_X,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1454,plain,
( c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1453]) ).
fof(f1455,plain,
( ~ c_lessequals(v_Z,v_X,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_Z,v_x,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1464,plain,
( c_lessequals(v_Z,v_x,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_Y,v_x,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1469,plain,
( c_lessequals(v_Y,v_x,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(f1502,plain,
( ! [X0] :
( ~ c_in(X0,v_Z,t_a)
| c_in(X0,v_X,t_a) )
| ~ spl0_2 ),
inference(superposition,[],[f215,f1446]) ).
fof(f1505,plain,
( ! [X0] :
( ~ c_in(X0,v_Y,t_a)
| c_in(X0,v_X,t_a) )
| ~ spl0_2 ),
inference(superposition,[],[f216,f1446]) ).
fof(f1584,plain,
( ! [X0] :
( ~ c_in(X0,v_X,t_a)
| c_in(X0,v_Z,t_a)
| c_in(X0,v_Y,t_a) )
| ~ spl0_2 ),
inference(superposition,[],[f217,f1446]) ).
fof(f2250,plain,
! [X2,X3,X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X1,X2)
| c_in(c_Main_OsubsetI__1(c_union(X0,X1,X2),X3,X2),X0,X2)
| c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(resolution,[],[f379,f217]) ).
fof(f2256,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_Z,X0,t_a),v_X,t_a)
| c_lessequals(v_Z,X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f379,f1502]) ).
fof(f2257,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(v_Y,X0,t_a),v_X,t_a)
| c_lessequals(v_Y,X0,tc_set(t_a)) )
| ~ spl0_2 ),
inference(resolution,[],[f379,f1505]) ).
fof(f2258,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))
| c_in(c_Main_OsubsetI__1(v_X,X0,t_a),v_Y,t_a) )
| ~ spl0_2 ),
inference(resolution,[],[f379,f1584]) ).
fof(f2356,plain,
( c_lessequals(v_Z,v_X,tc_set(t_a))
| c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f380,f2256]) ).
fof(f2357,plain,
( c_lessequals(v_Y,v_X,tc_set(t_a))
| c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ spl0_2 ),
inference(resolution,[],[f380,f2257]) ).
fof(f2363,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X1,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f380,f216]) ).
fof(f2364,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,c_union(X1,X2,X3),X3),X2,X3)
| c_lessequals(X0,c_union(X1,X2,X3),tc_set(X3)) ),
inference(resolution,[],[f380,f215]) ).
fof(f2374,plain,
( c_lessequals(v_Y,v_X,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f2357]) ).
fof(f2375,plain,
( c_lessequals(v_Z,v_X,tc_set(t_a))
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f2356]) ).
fof(f2389,plain,
( $false
| ~ spl0_2
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f2375,f1455]) ).
fof(f2390,plain,
( ~ spl0_2
| spl0_4 ),
inference(avatar_contradiction_clause,[],[f2389]) ).
fof(f2394,plain,
( ! [X0] :
( ~ c_in(X0,v_Z,t_a)
| c_in(X0,v_X,t_a) )
| ~ spl0_4 ),
inference(resolution,[],[f1454,f378]) ).
fof(f2412,plain,
( $false
| ~ spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f2374,f1451]) ).
fof(f2413,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f2412]) ).
fof(f2418,plain,
( ! [X0] :
( ~ c_in(X0,v_Y,t_a)
| c_in(X0,v_X,t_a) )
| ~ spl0_3 ),
inference(resolution,[],[f1450,f378]) ).
fof(f2429,plain,
( ! [X0] :
( c_in(X0,v_x,t_a)
| ~ c_in(X0,v_Z,t_a) )
| ~ spl0_6 ),
inference(resolution,[],[f1464,f378]) ).
fof(f2442,plain,
( ! [X0] :
( c_in(X0,v_x,t_a)
| ~ c_in(X0,v_Y,t_a) )
| ~ spl0_7 ),
inference(resolution,[],[f1469,f378]) ).
fof(f2493,plain,
( ! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_x,t_a),v_Z,t_a)
| c_lessequals(X0,v_x,tc_set(t_a)) )
| ~ spl0_6 ),
inference(resolution,[],[f2429,f380]) ).
fof(f2494,plain,
( ! [X0] :
( ~ 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_7 ),
inference(resolution,[],[f2442,f380]) ).
fof(f2518,plain,
( c_lessequals(v_X,v_x,tc_set(t_a))
| c_lessequals(v_X,v_x,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,v_x,t_a),v_Y,t_a)
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[],[f2493,f2258]) ).
fof(f2527,plain,
( c_lessequals(v_X,v_x,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(v_X,v_x,t_a),v_Y,t_a)
| ~ spl0_2
| ~ spl0_6 ),
inference(duplicate_literal_removal,[],[f2518]) ).
fof(f2537,plain,
( c_in(c_Main_OsubsetI__1(v_X,v_x,t_a),v_Y,t_a)
| ~ spl0_2
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2527,f1459]) ).
fof(f2565,plain,
( c_lessequals(v_X,v_x,tc_set(t_a))
| ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f2494,f2537]) ).
fof(f2575,plain,
( $false
| ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f2565,f1459]) ).
fof(f2576,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2575]) ).
fof(f2583,plain,
( ! [X0,X1] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),X1,t_a),v_X,t_a)
| c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),X1,t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),X1,tc_set(t_a)) )
| ~ spl0_3 ),
inference(resolution,[],[f2418,f2250]) ).
fof(f2635,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2))
| c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)) ),
inference(resolution,[],[f2363,f379]) ).
fof(f2661,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f2635]) ).
fof(f2686,plain,
! [X2,X0,X1] :
( c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2))
| c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)) ),
inference(resolution,[],[f2364,f379]) ).
fof(f2714,plain,
! [X2,X0,X1] : c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(duplicate_literal_removal,[],[f2686]) ).
fof(f4860,definition,
( spl0_94
<=> c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a)) ),
introduced(definition,[new_symbols(definition,[spl0_94])],[avatar_definition]) ).
fof(f4861,plain,
( ~ c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| spl0_94 ),
inference(avatar_component_clause,[],[f4860]) ).
fof(f4862,plain,
( c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| ~ spl0_94 ),
inference(avatar_component_clause,[],[f4860]) ).
fof(f4897,plain,
( ~ c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))
| v_X = c_union(v_Y,v_Z,t_a)
| ~ spl0_94 ),
inference(resolution,[],[f4862,f382]) ).
fof(f4899,plain,
( ~ c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))
| spl0_2
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f4897,f1445]) ).
fof(f6652,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a))
| c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a)) )
| ~ spl0_3 ),
inference(resolution,[],[f2583,f380]) ).
fof(f6787,plain,
( ! [X0] :
( c_in(c_Main_OsubsetI__1(c_union(v_Y,X0,t_a),v_X,t_a),X0,t_a)
| c_lessequals(c_union(v_Y,X0,t_a),v_X,tc_set(t_a)) )
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f6652]) ).
fof(f7599,plain,
( c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| c_in(c_Main_OsubsetI__1(c_union(v_Y,v_Z,t_a),v_X,t_a),v_X,t_a)
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[],[f6787,f2394]) ).
fof(f11157,plain,
( ! [X0] :
( ~ c_lessequals(v_Y,c_union(X0,v_Z,t_a),tc_set(t_a))
| c_lessequals(v_X,c_union(X0,v_Z,t_a),tc_set(t_a)) )
| ~ spl0_1 ),
inference(resolution,[],[f2714,f1442]) ).
fof(f11422,plain,
( c_lessequals(v_X,c_union(v_Y,v_Z,t_a),tc_set(t_a))
| ~ spl0_1 ),
inference(resolution,[],[f11157,f2661]) ).
fof(f11424,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[],[f11422,f4899]) ).
fof(f11425,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_94 ),
inference(avatar_contradiction_clause,[],[f11424]) ).
fof(f11493,plain,
( c_lessequals(c_union(v_Y,v_Z,t_a),v_X,tc_set(t_a))
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f7599,f380]) ).
fof(f11497,plain,
( $false
| ~ spl0_3
| ~ spl0_4
| spl0_94 ),
inference(forward_subsumption_resolution,[],[f11493,f4861]) ).
fof(f11498,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_94 ),
inference(avatar_contradiction_clause,[],[f11497]) ).
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(s28,plain,
( ~ spl0_2
| spl0_4 ),
inference(sat_conversion,[],[f2390]) ).
cnf(s30,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f2413]) ).
cnf(s37,plain,
( ~ spl0_2
| spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f2576]) ).
cnf(s322,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_94 ),
inference(sat_conversion,[],[f11425]) ).
cnf(s341,plain,
( ~ spl0_3
| ~ spl0_4
| spl0_94 ),
inference(sat_conversion,[],[f11498]) ).
cnf(s344,plain,
( ~ spl0_3
| ~ spl0_2
| ~ spl0_4 ),
inference(rat,[],[s37,s2,s3,s4]) ).
cnf(s345,plain,
~ spl0_2,
inference(rat,[],[s344,s28,s30]) ).
cnf(s346,plain,
spl0_3,
inference(rat,[],[s6,s345]) ).
cnf(s347,plain,
spl0_4,
inference(rat,[],[s5,s345]) ).
cnf(s348,plain,
spl0_1,
inference(rat,[],[s1,s345]) ).
cnf(s349,plain,
spl0_94,
inference(rat,[],[s341,s346,s347]) ).
cnf(s351,plain,
$false,
inference(rat,[],[s322,s345,s349,s348]) ).
fof(f11499,plain,
$false,
inference(avatar_sat_refutation,[],[s351]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SET837-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.32 % Computer : n012.cluster.edu
% 0.04/0.32 % Model : x86_64 x86_64
% 0.04/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.32 % Memory : 8046.5625MB
% 0.04/0.32 % OS : Linux 6.8.0-71-generic
% 0.04/0.32 % CPULimit : 300
% 0.04/0.32 % WCLimit : 300
% 0.04/0.32 % DateTime : Mon Sep 28 02:56:34 UTC 2026
% 0.04/0.32 % CPUTime :
% 0.04/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.34 Running first-order model finding
% 0.09/0.34 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.17/0.61 % (2971694)Will run a generic schedule for satisfiability detection.
% 1.17/0.61 % (2971712)% WARNING: option uhcvi not known.
% 1.17/0.61 % (2971711)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=760499452_2999 on theBenchmark for (2999ds/0Mi)
% 1.17/0.61 % (2971713)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=87759614:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.17/0.61 % (2971714)dis+10_1_sil=32000:sp=arity:random_seed=441661730:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.17/0.61 % (2971712)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2158285349:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.17/0.61 % (2971715)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3544921049:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.17/0.61 % (2971716)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=11337201:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.17/0.61 % (2971717)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2009996622:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.17/0.61 % TRYING [1]
% 1.17/0.61 % TRYING [2]
% 1.17/0.61 % (2971714)Instruction limit reached!
% 1.17/0.61 % (2971714)------------------------------
% 1.17/0.61 % (2971714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.61 % (2971714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.61 % (2971714)CaDiCaL version: 2.1.3
% 1.17/0.61 % (2971714)Termination reason: Instruction limit
% 1.17/0.61 % (2971714)Termination phase: Saturation
% 1.17/0.61 % (2971714)Time elapsed: 0.038 s
% 1.17/0.61 % (2971714)Peak memory usage: 14 MB
% 1.17/0.61 % (2971714)Instructions burned: 105 (million)
% 1.17/0.61 % (2971715)Instruction limit reached!
% 1.17/0.61 % (2971715)------------------------------
% 1.17/0.61 % (2971715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.61 % (2971715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.61 % (2971715)CaDiCaL version: 2.1.3
% 1.17/0.61 % (2971715)Termination reason: Instruction limit
% 1.17/0.61 % (2971715)Termination phase: Saturation
% 1.17/0.61 % (2971715)Time elapsed: 0.040 s
% 1.17/0.61 % (2971715)Peak memory usage: 14 MB
% 1.17/0.61 % (2971715)Instructions burned: 118 (million)
% 1.17/0.61 % (2971716)Instruction limit reached!
% 1.17/0.61 % (2971716)------------------------------
% 1.17/0.61 % (2971716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.61 % (2971716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.61 % (2971716)CaDiCaL version: 2.1.3
% 1.17/0.61 % (2971716)Termination reason: Instruction limit
% 1.17/0.61 % (2971716)Termination phase: Saturation
% 1.17/0.61 % (2971716)Time elapsed: 0.043 s
% 1.17/0.61 % (2971716)Peak memory usage: 14 MB
% 1.17/0.61 % (2971716)Instructions burned: 133 (million)
% 1.17/0.61 % (2971736)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2643635176:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.17/0.61 % TRYING [3]
% 1.17/0.61 % (2971739)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3198583857:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 1.17/0.61 % (2971717)Instruction limit reached!
% 1.17/0.61 % (2971717)------------------------------
% 1.17/0.61 % (2971717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.61 % (2971717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.61 % (2971717)CaDiCaL version: 2.1.3
% 1.17/0.61 % (2971717)Termination reason: Instruction limit
% 1.17/0.61 % (2971717)Termination phase: Saturation
% 1.17/0.61 % (2971717)Time elapsed: 0.052 s
% 1.17/0.61 % (2971717)Peak memory usage: 14 MB
% 1.17/0.61 % (2971717)Instructions burned: 160 (million)
% 1.17/0.61 % (2971740)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=3082168202:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 1.17/0.61 % (2971747)ott-21_1_sil=16000:fs=off:random_seed=663664304:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 1.17/0.61 % TRYING [1]
% 1.17/0.61 % TRYING [2]
% 1.17/0.61 % (2971739)Instruction limit reached!
% 1.17/0.61 % (2971739)------------------------------
% 1.17/0.61 % (2971739)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.61 % (2971739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.61 % (2971739)CaDiCaL version: 2.1.3
% 1.17/0.61 % (2971739)Termination reason: Instruction limit
% 1.17/0.61 % (2971739)Termination phase: Saturation
% 1.17/0.61 % (2971739)Time elapsed: 0.044 s
% 1.17/0.61 % (2971739)Peak memory usage: 16 MB
% 1.17/0.61 % (2971739)Instructions burned: 132 (million)
% 1.17/0.61 % (2971759)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2394225401:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 1.17/0.61 % TRYING [3]
% 1.17/0.61 % (2971747)Instruction limit reached!
% 1.17/0.61 % (2971747)------------------------------
% 1.17/0.61 % (2971747)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.61 % (2971747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.61 % (2971747)CaDiCaL version: 2.1.3
% 1.17/0.61 % (2971747)Termination reason: Instruction limit
% 1.17/0.61 % (2971747)Termination phase: Saturation
% 1.17/0.61 % (2971747)Time elapsed: 0.056 s
% 1.17/0.61 % (2971747)Peak memory usage: 14 MB
% 1.17/0.61 % (2971747)Instructions burned: 183 (million)
% 1.17/0.61 % (2971772)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3880128297:fmbsr=1.3:i=865:ins=25_2998 on theBenchmark for (2998ds/865Mi)
% 1.17/0.61 % TRYING [1]
% 1.17/0.61 % TRYING [2]
% 1.17/0.61 % TRYING [4]
% 1.17/0.61 % (2971736)Instruction limit reached!
% 1.17/0.61 % (2971736)------------------------------
% 1.17/0.61 % (2971736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.61 % (2971736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.61 % (2971736)CaDiCaL version: 2.1.3
% 1.17/0.61 % (2971736)Termination reason: Instruction limit
% 1.17/0.61 % (2971736)Termination phase: Finite model building constraint generation
% 1.17/0.61 % (2971736)Time elapsed: 0.156 s
% 1.17/0.61 % (2971736)Peak memory usage: 49 MB
% 1.17/0.61 % (2971736)Instructions burned: 716 (million)
% 1.17/0.61 % (2971740) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2971694-2971740"...
% 1.17/0.61 % (2971814)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1491128377:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.17/0.61 % (2971740)...printing done.
% 1.17/0.61 % (2971740)Refutation found. Thanks to Tanya!
% 1.17/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.17/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.17/0.61 % (2971740)------------------------------
% 1.17/0.61 % (2971740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.17/0.61 % (2971740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.17/0.61 % (2971740)CaDiCaL version: 2.1.3
% 1.17/0.61 % (2971740)Termination reason: Refutation
% 1.17/0.61 % (2971740)Time elapsed: 0.165 s
% 1.17/0.61 % (2971740)Peak memory usage: 19 MB
% 1.17/0.61 % (2971740)Instructions burned: 480 (million)
% 1.17/0.61 % (2971694)Success in time 0.268 s
% 1.17/0.61 % Vampire exiting
%------------------------------------------------------------------------------