%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET863-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 12:42:11 PM UTC 2026
% Result : Unsatisfiable 8.58s 2.12s
% Output : Refutation 9.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 23
% Syntax : Number of formulae : 124 ( 29 unt; 9 def)
% Number of atoms : 414 ( 8 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 535 ( 245 ~; 285 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-3 aty)
% Number of variables : 201 ( 0 sgn 201 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f378,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2)
| c_in(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f379,axiom,
! [X2,X0,X1] :
( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
| c_lessequals(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',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/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f1435,axiom,
! [X2,X3,X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| c_in(c_Zorn_Ochain__extend__1(X3,X0,X2),X3,tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_0) ).
fof(f1436,axiom,
! [X2,X3,X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_Ochain(X1,X2),tc_set(tc_set(X2)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X3,X0,X2),X0,tc_set(X2))
| ~ c_in(X0,X1,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Ochain__extend_1) ).
fof(f1437,axiom,
! [X0,X1] : c_lessequals(c_Zorn_Omaxchain(X0,X1),c_Zorn_Ochain(X0,X1),tc_set(tc_set(tc_set(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__subset__chain_0) ).
fof(f1438,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X1,X2)
| c_in(X0,X5,X2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X3,tc_set(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_0) ).
fof(f1439,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_union(c_insert(X1,c_emptyset,tc_set(X2)),X3,tc_set(X2)),c_Zorn_Ochain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X3,c_Zorn_Omaxchain(X4,X2),tc_set(tc_set(X2)))
| ~ c_in(X0,X1,X2)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X3,X5,X2),X5,tc_set(X2))
| c_in(X0,X5,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Zorn_Omaxchain__super__lemma_1) ).
fof(f1440,negated_conjecture,
c_in(v_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1443,negated_conjecture,
c_in(v_x,v_S,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1444,negated_conjecture,
c_lessequals(v_y,v_x,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f1445,negated_conjecture,
c_in(v_xa,v_x,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1446,negated_conjecture,
~ c_in(v_xa,v_y,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f1447,negated_conjecture,
! [X0] :
( c_lessequals(X0,v_y,tc_set(t_a))
| ~ c_in(X0,v_c,tc_set(t_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f1448,definition,
sF0 = c_Zorn_Omaxchain(v_S,t_a),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f1449,plain,
c_Zorn_Omaxchain(v_S,t_a) = sF0,
inference(reorient_equations,[],[f1448]) ).
fof(f1450,definition,
sF1 = tc_set(t_a),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f1451,plain,
tc_set(t_a) = sF1,
inference(reorient_equations,[],[f1450]) ).
fof(f1452,definition,
sF2 = tc_set(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f1453,plain,
tc_set(sF1) = sF2,
inference(reorient_equations,[],[f1452]) ).
fof(f1454,plain,
c_in(v_c,sF0,sF2),
inference(definition_folding,[],[f1440,f1453,f1451,f1449]) ).
fof(f1455,definition,
sF3 = c_Zorn_Ochain(v_S,t_a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f1456,plain,
c_Zorn_Ochain(v_S,t_a) = sF3,
inference(reorient_equations,[],[f1455]) ).
fof(f1459,plain,
c_in(v_x,v_S,sF1),
inference(definition_folding,[],[f1443,f1451]) ).
fof(f1460,plain,
c_lessequals(v_y,v_x,sF1),
inference(definition_folding,[],[f1444,f1451]) ).
fof(f1461,plain,
! [X0] :
( c_lessequals(X0,v_y,sF1)
| ~ c_in(X0,v_c,sF1) ),
inference(definition_folding,[],[f1447,f1451,f1451]) ).
fof(f1464,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),sF3,tc_set(tc_set(tc_set(t_a)))),
inference(superposition,[],[f1437,f1456]) ).
fof(f1468,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),sF3,tc_set(tc_set(sF1))),
inference(forward_demodulation,[],[f1464,f1451]) ).
fof(f1470,plain,
c_lessequals(c_Zorn_Omaxchain(v_S,t_a),sF3,tc_set(sF2)),
inference(forward_demodulation,[],[f1468,f1453]) ).
fof(f1472,plain,
c_lessequals(sF0,sF3,tc_set(sF2)),
inference(forward_demodulation,[],[f1470,f1449]) ).
fof(f1480,plain,
! [X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a)),sF3,tc_set(tc_set(t_a)))
| ~ c_in(X1,sF3,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X1,X0,t_a),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(superposition,[],[f1436,f1456]) ).
fof(f1484,plain,
! [X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,tc_set(sF1))
| ~ c_in(X1,sF3,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X1,X0,t_a),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1480,f1451]) ).
fof(f1486,plain,
! [X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X1,sF3,tc_set(tc_set(t_a)))
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X1,X0,t_a),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1484,f1453]) ).
fof(f1487,plain,
! [X0,X1] :
( ~ c_in(X1,sF3,tc_set(sF1))
| c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X1,X0,t_a),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1486,f1451]) ).
fof(f1488,plain,
! [X0,X1] :
( ~ c_in(X1,sF3,sF2)
| c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X1,X0,t_a),X0,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1487,f1453]) ).
fof(f1489,plain,
! [X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X1,X0,t_a),X0,sF1)
| ~ c_in(X1,sF3,sF2)
| c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1488,f1451]) ).
fof(f1490,plain,
! [X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X1,X0,t_a),X0,sF1)
| ~ c_in(X1,sF3,sF2)
| ~ c_in(X0,v_S,sF1) ),
inference(forward_demodulation,[],[f1489,f1451]) ).
fof(f1492,plain,
! [X0] :
( c_in(X0,sF3,sF2)
| ~ c_in(X0,sF0,sF2) ),
inference(resolution,[],[f378,f1472]) ).
fof(f1494,plain,
! [X2,X0,X1] :
( ~ c_lessequals(X0,X1,sF1)
| ~ c_in(X2,X0,t_a)
| c_in(X2,X1,t_a) ),
inference(superposition,[],[f378,f1451]) ).
fof(f1495,plain,
! [X0,X1] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,X1,t_a)
| ~ c_in(X1,v_c,sF1) ),
inference(resolution,[],[f1494,f1461]) ).
fof(f1496,plain,
! [X0] :
( c_in(X0,v_x,t_a)
| ~ c_in(X0,v_y,t_a) ),
inference(resolution,[],[f1494,f1460]) ).
fof(f1518,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a)),sF3,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,tc_set(t_a)) ),
inference(superposition,[],[f1438,f1456]) ).
fof(f1522,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,tc_set(sF1))
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1518,f1451]) ).
fof(f1525,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1522,f1453]) ).
fof(f1526,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(sF1))
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1525,f1451]) ).
fof(f1527,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),sF2)
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1526,f1453]) ).
fof(f1528,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X1,sF0,sF2)
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1527,f1449]) ).
fof(f1529,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X1,sF0,sF2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X1,sF1)
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a) ),
inference(forward_demodulation,[],[f1528,f1451]) ).
fof(f1535,plain,
! [X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a)),sF3,tc_set(tc_set(t_a)))
| ~ c_in(X1,sF3,tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X1,X0,t_a),X1,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(superposition,[],[f1435,f1456]) ).
fof(f1539,plain,
! [X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,tc_set(sF1))
| ~ c_in(X1,sF3,tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X1,X0,t_a),X1,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1535,f1451]) ).
fof(f1542,plain,
! [X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X1,sF3,tc_set(tc_set(t_a)))
| c_in(c_Zorn_Ochain__extend__1(X1,X0,t_a),X1,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1539,f1453]) ).
fof(f1543,plain,
! [X0,X1] :
( ~ c_in(X1,sF3,tc_set(sF1))
| c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| c_in(c_Zorn_Ochain__extend__1(X1,X0,t_a),X1,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1542,f1451]) ).
fof(f1544,plain,
! [X0,X1] :
( ~ c_in(X1,sF3,sF2)
| c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| c_in(c_Zorn_Ochain__extend__1(X1,X0,t_a),X1,tc_set(t_a))
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1543,f1453]) ).
fof(f1545,plain,
! [X0,X1] :
( c_in(c_Zorn_Ochain__extend__1(X1,X0,t_a),X1,sF1)
| ~ c_in(X1,sF3,sF2)
| c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X0,v_S,tc_set(t_a)) ),
inference(forward_demodulation,[],[f1544,f1451]) ).
fof(f1546,plain,
! [X0,X1] :
( c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| c_in(c_Zorn_Ochain__extend__1(X1,X0,t_a),X1,sF1)
| ~ c_in(X1,sF3,sF2)
| ~ c_in(X0,v_S,sF1) ),
inference(forward_demodulation,[],[f1545,f1451]) ).
fof(f1550,plain,
! [X2,X3,X0,X1] :
( c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,sF1)
| ~ c_in(X0,sF3,sF2)
| ~ c_in(X1,v_S,sF1)
| ~ c_in(X0,sF0,sF2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X0,X2,t_a),X0,sF1)
| ~ c_in(X3,X1,t_a)
| c_in(X3,X2,t_a) ),
inference(resolution,[],[f1546,f1529]) ).
fof(f1551,plain,
! [X2,X3,X0,X1] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(X0,X2,t_a),X0,sF1)
| ~ c_in(X1,v_S,sF1)
| ~ c_in(X0,sF0,sF2)
| c_in(c_Zorn_Ochain__extend__1(X0,X1,t_a),X0,sF1)
| ~ c_in(X3,X1,t_a)
| c_in(X3,X2,t_a) ),
inference(forward_subsumption_resolution,[],[f1550,f1492]) ).
fof(f1569,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X1,t_a),X1,sF1)
| ~ c_in(X0,sF3,sF2)
| ~ c_in(X1,v_S,sF1)
| ~ c_in(X0,sF0,sF2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X0,X2,t_a),X0,sF1)
| ~ c_in(X3,X1,t_a)
| c_in(X3,X2,t_a) ),
inference(resolution,[],[f1490,f1529]) ).
fof(f1570,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X1,t_a),X1,sF1)
| ~ c_in(X1,v_S,sF1)
| ~ c_in(X0,sF0,sF2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X0,X2,t_a),X0,sF1)
| ~ c_in(X3,X1,t_a)
| c_in(X3,X2,t_a) ),
inference(forward_subsumption_resolution,[],[f1569,f1492]) ).
fof(f1576,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,tc_set(t_a)),X1,tc_set(t_a)),sF3,tc_set(tc_set(t_a)))
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X0,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,tc_set(t_a))
| c_in(X2,X3,t_a) ),
inference(superposition,[],[f1439,f1456]) ).
fof(f1580,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,tc_set(sF1))
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X0,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,tc_set(t_a))
| c_in(X2,X3,t_a) ),
inference(forward_demodulation,[],[f1576,f1451]) ).
fof(f1584,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))
| ~ c_in(X2,X0,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,tc_set(t_a))
| c_in(X2,X3,t_a) ),
inference(forward_demodulation,[],[f1580,f1453]) ).
fof(f1585,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),tc_set(sF1))
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X2,X0,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,tc_set(t_a))
| c_in(X2,X3,t_a) ),
inference(forward_demodulation,[],[f1584,f1451]) ).
fof(f1586,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X1,c_Zorn_Omaxchain(v_S,t_a),sF2)
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X2,X0,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,tc_set(t_a))
| c_in(X2,X3,t_a) ),
inference(forward_demodulation,[],[f1585,f1453]) ).
fof(f1587,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X1,sF0,sF2)
| ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X2,X0,t_a)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,tc_set(t_a))
| c_in(X2,X3,t_a) ),
inference(forward_demodulation,[],[f1586,f1449]) ).
fof(f1588,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_union(c_insert(X0,c_emptyset,sF1),X1,sF1),sF3,sF2)
| ~ c_in(X1,sF0,sF2)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X1,X3,t_a),X3,sF1)
| ~ c_in(X2,X0,t_a)
| c_in(X2,X3,t_a) ),
inference(forward_demodulation,[],[f1587,f1451]) ).
fof(f1599,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,sF0,sF2)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X1,t_a),X1,sF1)
| ~ c_in(X2,X3,t_a)
| c_in(X2,X1,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X3,t_a),X3,sF1)
| ~ c_in(X0,sF3,sF2)
| ~ c_in(X3,v_S,sF1) ),
inference(resolution,[],[f1588,f1490]) ).
fof(f1600,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,sF0,sF2)
| ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X1,t_a),X1,sF1)
| ~ c_in(X2,X3,t_a)
| c_in(X2,X1,t_a)
| c_in(c_Zorn_Ochain__extend__1(X0,X3,t_a),X0,sF1)
| ~ c_in(X0,sF3,sF2)
| ~ c_in(X3,v_S,sF1) ),
inference(resolution,[],[f1588,f1546]) ).
fof(f1602,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X1,t_a),X1,sF1)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X2,X3,t_a)
| c_in(X2,X1,t_a)
| c_in(c_Zorn_Ochain__extend__1(X0,X3,t_a),X0,sF1)
| ~ c_in(X3,v_S,sF1) ),
inference(forward_subsumption_resolution,[],[f1600,f1492]) ).
fof(f1603,plain,
! [X2,X3,X0,X1] :
( ~ c_lessequals(c_Zorn_Omaxchain__super__lemma__1(X0,X1,t_a),X1,sF1)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X2,X3,t_a)
| c_in(X2,X1,t_a)
| ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X3,t_a),X3,sF1)
| ~ c_in(X3,v_S,sF1) ),
inference(forward_subsumption_resolution,[],[f1599,f1492]) ).
fof(f1604,plain,
! [X2,X0,X1] :
( ~ c_lessequals(c_Zorn_Ochain__extend__1(X0,X2,t_a),X2,sF1)
| ~ c_in(X1,X2,t_a)
| c_in(X1,v_y,t_a)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X2,v_S,sF1)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(X0,v_y,t_a),v_c,sF1) ),
inference(resolution,[],[f1603,f1461]) ).
fof(f1612,plain,
! [X2,X0,X1] :
( c_in(c_Zorn_Ochain__extend__1(X0,X2,t_a),X0,sF1)
| ~ c_in(X1,X2,t_a)
| c_in(X1,v_y,t_a)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(X2,v_S,sF1)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(X0,v_y,t_a),v_c,sF1) ),
inference(resolution,[],[f1602,f1461]) ).
fof(f1654,plain,
! [X0] :
( c_lessequals(X0,v_x,tc_set(t_a))
| ~ c_in(c_Main_OsubsetI__1(X0,v_x,t_a),v_y,t_a) ),
inference(resolution,[],[f380,f1496]) ).
fof(f1656,plain,
! [X0] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_x,t_a),v_y,t_a)
| c_lessequals(X0,v_x,sF1) ),
inference(forward_demodulation,[],[f1654,f1451]) ).
fof(f1702,plain,
! [X0,X1] :
( ~ c_in(c_Main_OsubsetI__1(X0,v_x,t_a),X1,t_a)
| c_lessequals(X0,v_x,sF1)
| ~ c_in(X1,v_c,sF1) ),
inference(resolution,[],[f1656,f1495]) ).
fof(f1774,plain,
! [X0] :
( c_lessequals(X0,v_x,sF1)
| ~ c_in(X0,v_c,sF1)
| c_lessequals(X0,v_x,tc_set(t_a)) ),
inference(resolution,[],[f1702,f379]) ).
fof(f1779,plain,
! [X0] :
( c_lessequals(X0,v_x,sF1)
| c_lessequals(X0,v_x,sF1)
| ~ c_in(X0,v_c,sF1) ),
inference(forward_demodulation,[],[f1774,f1451]) ).
fof(f1780,plain,
! [X0] :
( c_lessequals(X0,v_x,sF1)
| ~ c_in(X0,v_c,sF1) ),
inference(duplicate_literal_removal,[],[f1779]) ).
fof(f1785,plain,
! [X0,X1] :
( ~ c_in(c_Zorn_Ochain__extend__1(X0,v_x,t_a),v_c,sF1)
| ~ c_in(X1,v_x,t_a)
| c_in(X1,v_y,t_a)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(v_x,v_S,sF1)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(X0,v_y,t_a),v_c,sF1) ),
inference(resolution,[],[f1780,f1604]) ).
fof(f1786,plain,
! [X2,X0,X1] :
( ~ c_in(c_Zorn_Ochain__extend__1(X0,v_x,t_a),v_c,sF1)
| ~ c_in(v_x,v_S,sF1)
| ~ c_in(X0,sF0,sF2)
| c_in(c_Zorn_Omaxchain__super__lemma__1(X0,X1,t_a),X0,sF1)
| ~ c_in(X2,v_x,t_a)
| c_in(X2,X1,t_a) ),
inference(resolution,[],[f1780,f1570]) ).
fof(f1792,plain,
! [X2,X0,X1] :
( c_in(c_Zorn_Omaxchain__super__lemma__1(X0,X1,t_a),X0,sF1)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(c_Zorn_Ochain__extend__1(X0,v_x,t_a),v_c,sF1)
| ~ c_in(X2,v_x,t_a)
| c_in(X2,X1,t_a) ),
inference(forward_subsumption_resolution,[],[f1786,f1459]) ).
fof(f1793,plain,
! [X0,X1] :
( ~ c_in(c_Zorn_Ochain__extend__1(X0,v_x,t_a),v_c,sF1)
| ~ c_in(X1,v_x,t_a)
| c_in(X1,v_y,t_a)
| ~ c_in(X0,sF0,sF2)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(X0,v_y,t_a),v_c,sF1) ),
inference(forward_subsumption_resolution,[],[f1785,f1459]) ).
fof(f1795,definition,
( spl4_5
<=> ! [X1] :
( ~ c_in(X1,v_x,t_a)
| c_in(X1,v_y,t_a) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f1796,plain,
( ! [X1] :
( c_in(X1,v_y,t_a)
| ~ c_in(X1,v_x,t_a) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f1795]) ).
fof(f1802,definition,
( spl4_7
<=> ! [X0] :
( ~ c_in(c_Zorn_Ochain__extend__1(X0,v_x,t_a),v_c,sF1)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(X0,v_y,t_a),v_c,sF1)
| ~ c_in(X0,sF0,sF2) ) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f1803,plain,
( ! [X0] :
( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(X0,v_y,t_a),v_c,sF1)
| ~ c_in(c_Zorn_Ochain__extend__1(X0,v_x,t_a),v_c,sF1)
| ~ c_in(X0,sF0,sF2) )
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f1802]) ).
fof(f1804,plain,
( spl4_5
| spl4_7 ),
inference(avatar_split_clause,[],[f1793,f1802,f1795]) ).
fof(f1809,plain,
( ~ c_in(v_xa,v_x,t_a)
| ~ spl4_5 ),
inference(resolution,[],[f1796,f1446]) ).
fof(f1812,plain,
( $false
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f1809,f1445]) ).
fof(f1813,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f1812]) ).
fof(f1839,definition,
( spl4_11
<=> ! [X0,X1] :
( ~ c_in(X0,v_S,sF1)
| c_in(X1,v_y,t_a)
| ~ c_in(X1,X0,t_a)
| c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,sF1) ) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f1840,plain,
( ! [X0,X1] :
( c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,sF1)
| c_in(X1,v_y,t_a)
| ~ c_in(X1,X0,t_a)
| ~ c_in(X0,v_S,sF1) )
| ~ spl4_11 ),
inference(avatar_component_clause,[],[f1839]) ).
fof(f1842,definition,
( spl4_12
<=> c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,sF1) ),
introduced(definition,[new_symbols(definition,[spl4_12])],[avatar_definition]) ).
fof(f1843,plain,
( c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,sF1)
| ~ spl4_12 ),
inference(avatar_component_clause,[],[f1842]) ).
fof(f1844,plain,
( ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,sF1)
| spl4_12 ),
inference(avatar_component_clause,[],[f1842]) ).
fof(f1851,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a)
| ~ c_in(v_c,sF0,sF2)
| ~ c_in(v_x,v_S,sF1)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,sF1) )
| spl4_12 ),
inference(resolution,[],[f1844,f1612]) ).
fof(f1852,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a)
| ~ c_in(v_x,v_S,sF1)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,sF1) )
| spl4_12 ),
inference(forward_subsumption_resolution,[],[f1851,f1454]) ).
fof(f1854,definition,
( spl4_14
<=> c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,sF1) ),
introduced(definition,[new_symbols(definition,[spl4_14])],[avatar_definition]) ).
fof(f1856,plain,
( ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,sF1)
| spl4_14 ),
inference(avatar_component_clause,[],[f1854]) ).
fof(f1861,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a)
| ~ c_in(c_Zorn_Omaxchain__super__lemma__1(v_c,v_y,t_a),v_c,sF1) )
| spl4_12 ),
inference(forward_subsumption_resolution,[],[f1852,f1459]) ).
fof(f1862,plain,
( ~ spl4_14
| spl4_5
| spl4_12 ),
inference(avatar_split_clause,[],[f1861,f1842,f1795,f1854]) ).
fof(f1866,plain,
( ! [X0,X1] :
( ~ c_in(X0,v_S,sF1)
| ~ c_in(v_c,sF0,sF2)
| c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,sF1)
| ~ c_in(X1,X0,t_a)
| c_in(X1,v_y,t_a) )
| spl4_14 ),
inference(resolution,[],[f1856,f1551]) ).
fof(f1867,plain,
( ! [X0,X1] :
( ~ c_in(X0,v_S,sF1)
| c_in(c_Zorn_Ochain__extend__1(v_c,X0,t_a),v_c,sF1)
| ~ c_in(X1,X0,t_a)
| c_in(X1,v_y,t_a) )
| spl4_14 ),
inference(forward_subsumption_resolution,[],[f1866,f1454]) ).
fof(f1869,plain,
( spl4_11
| spl4_14 ),
inference(avatar_split_clause,[],[f1867,f1854,f1839]) ).
fof(f1870,plain,
( ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a)
| ~ c_in(v_x,v_S,sF1) )
| ~ spl4_11
| spl4_12 ),
inference(resolution,[],[f1840,f1844]) ).
fof(f1871,plain,
( ! [X0] :
( c_in(X0,v_y,t_a)
| ~ c_in(X0,v_x,t_a) )
| ~ spl4_11
| spl4_12 ),
inference(forward_subsumption_resolution,[],[f1870,f1459]) ).
fof(f1872,plain,
( spl4_5
| ~ spl4_11
| spl4_12 ),
inference(avatar_split_clause,[],[f1871,f1842,f1839,f1795]) ).
fof(f1874,plain,
( ! [X0] :
( ~ c_in(v_c,sF0,sF2)
| ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,sF1)
| ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a)
| ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,sF1)
| ~ c_in(v_c,sF0,sF2) )
| ~ spl4_7 ),
inference(resolution,[],[f1792,f1803]) ).
fof(f1878,plain,
( ! [X0] :
( ~ c_in(v_c,sF0,sF2)
| ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,sF1)
| ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a) )
| ~ spl4_7 ),
inference(duplicate_literal_removal,[],[f1874]) ).
fof(f1880,plain,
( ! [X0] :
( ~ c_in(c_Zorn_Ochain__extend__1(v_c,v_x,t_a),v_c,sF1)
| ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a) )
| ~ spl4_7 ),
inference(forward_subsumption_resolution,[],[f1878,f1454]) ).
fof(f1883,plain,
( ! [X0] :
( ~ c_in(X0,v_x,t_a)
| c_in(X0,v_y,t_a) )
| ~ spl4_7
| ~ spl4_12 ),
inference(forward_subsumption_resolution,[],[f1880,f1843]) ).
fof(f1886,plain,
( spl4_5
| ~ spl4_7
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f1883,f1842,f1802,f1795]) ).
cnf(s4,plain,
( spl4_5
| spl4_7 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s5,plain,
~ spl4_5,
inference(sat_conversion,[],[f1813]) ).
cnf(s14,plain,
( spl4_5
| spl4_12
| ~ spl4_14 ),
inference(sat_conversion,[],[f1862]) ).
cnf(s16,plain,
( spl4_11
| spl4_14 ),
inference(sat_conversion,[],[f1869]) ).
cnf(s17,plain,
( spl4_5
| ~ spl4_11
| spl4_12 ),
inference(sat_conversion,[],[f1872]) ).
cnf(s18,plain,
( spl4_5
| ~ spl4_7
| ~ spl4_12 ),
inference(sat_conversion,[],[f1886]) ).
cnf(s20,plain,
spl4_7,
inference(rat,[],[s4,s5]) ).
cnf(s21,plain,
~ spl4_12,
inference(rat,[],[s18,s5,s20]) ).
cnf(s22,plain,
~ spl4_14,
inference(rat,[],[s14,s5,s21]) ).
cnf(s23,plain,
~ spl4_11,
inference(rat,[],[s17,s5,s21]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s16,s22,s23]) ).
fof(f1888,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET863-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n005.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % 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 03:04:01 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.58/2.12 % (392355)Input is clausal, will run a generic CNF schedule.
% 8.58/2.12 % (392364)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=535135122:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.58/2.12 % (392364)Instruction limit reached!
% 8.58/2.12 % (392364)------------------------------
% 8.58/2.12 % (392364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392364)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392364)Termination reason: Instruction limit
% 8.58/2.12 % (392364)Termination phase: Saturation
% 8.58/2.12 % (392364)Time elapsed: 0.036 s
% 8.58/2.12 % (392364)Peak memory usage: 89 MB
% 8.58/2.12 % (392364)Instructions burned: 117 (million)
% 8.58/2.12 % (392365)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1995735096:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.58/2.12 % (392360)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=2982026894:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.58/2.12 % (392361)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2119993599:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.58/2.12 % (392363)lrs+10_1_sil=8000:sp=occurrence:random_seed=3950451945:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.58/2.12 % (392362)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=924762405:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.58/2.12 % (392366)dis-21_1_sil=8000:lcm=predicate:random_seed=877010477: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)
% 8.58/2.12 % (392363)Instruction limit reached!
% 8.58/2.12 % (392363)------------------------------
% 8.58/2.12 % (392363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392363)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392363)Termination reason: Instruction limit
% 8.58/2.12 % (392363)Termination phase: Saturation
% 8.58/2.12 % (392363)Time elapsed: 0.063 s
% 8.58/2.12 % (392363)Peak memory usage: 89 MB
% 8.58/2.12 % (392363)Instructions burned: 108 (million)
% 8.58/2.12 % (392366)Instruction limit reached!
% 8.58/2.12 % (392366)------------------------------
% 8.58/2.12 % (392366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392366)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392366)Termination reason: Instruction limit
% 8.58/2.12 % (392366)Termination phase: Saturation
% 8.58/2.12 % (392366)Time elapsed: 0.068 s
% 8.58/2.12 % (392366)Peak memory usage: 89 MB
% 8.58/2.12 % (392366)Instructions burned: 117 (million)
% 8.58/2.12 % (392365)Instruction limit reached!
% 8.58/2.12 % (392365)------------------------------
% 8.58/2.12 % (392365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392365)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392365)Termination reason: Instruction limit
% 8.58/2.12 % (392365)Termination phase: Saturation
% 8.58/2.12 % (392365)Time elapsed: 0.070 s
% 8.58/2.12 % (392365)Peak memory usage: 89 MB
% 8.58/2.12 % (392365)Instructions burned: 182 (million)
% 8.58/2.12 % (392368)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=2143984732:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.58/2.12 % (392368)Refutation not found, incomplete strategy
% 8.58/2.12 % (392368)------------------------------
% 8.58/2.12 % (392368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392368)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392368)Termination reason: Refutation not found, incomplete strategy
% 8.58/2.12 % (392368)Time elapsed: 0.005 s
% 8.58/2.12 % (392368)Peak memory usage: 89 MB
% 8.58/2.12 % (392368)Instructions burned: 5 (million)
% 8.58/2.12 % (392376)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3074167534:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.58/2.12 % (392376)Refutation not found, incomplete strategy
% 8.58/2.12 % (392376)------------------------------
% 8.58/2.12 % (392376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392376)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392376)Termination reason: Refutation not found, incomplete strategy
% 8.58/2.12 % (392376)Time elapsed: 0.005 s
% 8.58/2.12 % (392376)Peak memory usage: 89 MB
% 8.58/2.12 % (392376)Instructions burned: 12 (million)
% 8.58/2.12 % (392375)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3643174018: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)
% 8.58/2.12 % (392377)lrs+10_64_to=lpo:sil=8000:random_seed=475797679:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.58/2.12 % (392377)Instruction limit reached!
% 8.58/2.12 % (392377)------------------------------
% 8.58/2.12 % (392377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392377)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392377)Termination reason: Instruction limit
% 8.58/2.12 % (392377)Termination phase: Saturation
% 8.58/2.12 % (392377)Time elapsed: 0.081 s
% 8.58/2.12 % (392377)Peak memory usage: 89 MB
% 8.58/2.12 % (392377)Instructions burned: 126 (million)
% 8.58/2.12 % (392375)Instruction limit reached!
% 8.58/2.12 % (392375)------------------------------
% 8.58/2.12 % (392375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392375)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392375)Termination reason: Instruction limit
% 8.58/2.12 % (392375)Termination phase: Saturation
% 8.58/2.12 % (392375)Time elapsed: 0.114 s
% 8.58/2.12 % (392375)Peak memory usage: 90 MB
% 8.58/2.12 % (392375)Instructions burned: 191 (million)
% 8.58/2.12 % (392376)------------------------------
% 8.58/2.12 % (392376)------------------------------
% 8.58/2.12 % (392368)------------------------------
% 8.58/2.12 % (392368)------------------------------
% 8.58/2.12 % (392382)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1386686572:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.58/2.12 % (392384)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1475082606:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 8.58/2.12 % (392383)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=224036386:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 8.58/2.12 % (392385)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=3821068817:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.58/2.12 % (392382)Instruction limit reached!
% 8.58/2.12 % (392382)------------------------------
% 8.58/2.12 % (392382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392382)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392382)Termination reason: Instruction limit
% 8.58/2.12 % (392382)Termination phase: Saturation
% 8.58/2.12 % (392382)Time elapsed: 0.131 s
% 8.58/2.12 % (392382)Peak memory usage: 90 MB
% 8.58/2.12 % (392382)Instructions burned: 195 (million)
% 8.58/2.12 % (392383)Instruction limit reached!
% 8.58/2.12 % (392383)------------------------------
% 8.58/2.12 % (392383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392383)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392383)Termination reason: Instruction limit
% 8.58/2.12 % (392383)Termination phase: Saturation
% 8.58/2.12 % (392383)Time elapsed: 0.094 s
% 8.58/2.12 % (392383)Peak memory usage: 91 MB
% 8.58/2.12 % (392383)Instructions burned: 157 (million)
% 8.58/2.12 % (392385)Instruction limit reached!
% 8.58/2.12 % (392385)------------------------------
% 8.58/2.12 % (392385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392385)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392385)Termination reason: Instruction limit
% 8.58/2.12 % (392385)Termination phase: Saturation
% 8.58/2.12 % (392385)Time elapsed: 0.058 s
% 8.58/2.12 % (392385)Peak memory usage: 89 MB
% 8.58/2.12 % (392385)Instructions burned: 106 (million)
% 8.58/2.12 % (392391)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2877116700:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.58/2.12 % (392390)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3675885405:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.58/2.12 % (392362)First to succeed.
% 8.58/2.12 % (392362)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-392355"
% 8.58/2.12 % (392392)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3238071797:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.58/2.12 % (392390)Instruction limit reached!
% 8.58/2.12 % (392390)------------------------------
% 8.58/2.12 % (392390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392390)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392390)Termination reason: Instruction limit
% 8.58/2.12 % (392390)Termination phase: Saturation
% 8.58/2.12 % (392390)Time elapsed: 0.069 s
% 8.58/2.12 % (392390)Peak memory usage: 89 MB
% 8.58/2.12 % (392390)Instructions burned: 107 (million)
% 8.58/2.12 % (392360)Also succeeded, but the first one will report.
% 8.58/2.12 % (392391)Instruction limit reached!
% 8.58/2.12 % (392391)------------------------------
% 8.58/2.12 % (392391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392391)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392391)Termination reason: Instruction limit
% 8.58/2.12 % (392391)Termination phase: Saturation
% 8.58/2.12 % (392391)Time elapsed: 0.129 s
% 8.58/2.12 % (392391)Peak memory usage: 89 MB
% 8.58/2.12 % (392391)Instructions burned: 244 (million)
% 8.58/2.12 % (392384)Also succeeded, but the first one will report.
% 8.58/2.12 % (392396)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3113550082:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 8.58/2.12 % (392396)Refutation not found, incomplete strategy
% 8.58/2.12 % (392396)------------------------------
% 8.58/2.12 % (392396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.58/2.12 % (392396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.58/2.12 % (392396)CaDiCaL version: 2.1.3
% 8.58/2.12 % (392396)Termination reason: Refutation not found, incomplete strategy
% 8.58/2.12 % (392396)Time elapsed: 0.013 s
% 8.58/2.12 % (392396)Peak memory usage: 89 MB
% 8.58/2.12 % (392396)Instructions burned: 17 (million)
% 8.58/2.12 % (392397)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3873459594:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 8.58/2.12 % (392362)Refutation found. Thanks to Tanya!
% 8.58/2.12 % SZS status Unsatisfiable for theBenchmark
% 8.58/2.12 % SZS output start Proof for theBenchmark
% See solution above
% 9.35/2.32 % (392362)------------------------------
% 9.35/2.32 % (392362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.32 % (392362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.32 % (392362)CaDiCaL version: 2.1.3
% 9.35/2.32 % (392362)Termination reason: Refutation
% 9.35/2.32 % (392362)Time elapsed: 0.797 s
% 9.35/2.32 % (392362)Peak memory usage: 133 MB
% 9.35/2.32 % (392362)Instructions burned: 1218 (million)
% 9.35/2.32 % (392362)------------------------------
% 9.35/2.32 % (392362)------------------------------
% 9.35/2.32 % (392355)Success in time 1.259 s
% 9.35/2.32 % Vampire exiting
%------------------------------------------------------------------------------