%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX240_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 01:46:16 PM UTC 2026
% Result : Theorem 36.40s 5.89s
% Output : Refutation 37.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 31
% Syntax : Number of formulae : 153 ( 42 unt; 5 def)
% Number of atoms : 404 ( 78 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 451 ( 200 ~; 208 |; 20 &)
% ( 14 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 251 ( 0 sgn 247 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] : high(X0) != low(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).
fof(f13,axiom,
! [X0,X1] : nand(X0,X1) != fF,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_013) ).
fof(f14,axiom,
! [X0,X1,X2] : nand(X0,X1) != var(X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_014) ).
fof(f17,axiom,
! [X0] : fF != var(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).
fof(f31,axiom,
! [X0] :
( X0 != nand(proj1Nand(X0),proj2Nand(X0))
=> ( X0 != var(proj1Var(X0))
=> ~ secret(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_031) ).
fof(f32,axiom,
! [X0,X1] :
( secret(nand(X0,X1))
<=> ( secret(X0)
| secret(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_032) ).
fof(f33,axiom,
! [X0] : secret(var(high(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_033) ).
fof(f34,axiom,
! [X0] : ~ secret(var(low(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_034) ).
fof(f35,axiom,
typeCorrect(skip),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_035) ).
fof(f37,axiom,
! [X0,X1] :
( typeCorrect(assign(low(X1),X0))
<=> ~ secret(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_037) ).
fof(f39,axiom,
! [X0,X1,X2] :
( typeCorrect(ifThenElse(X0,X1,X2))
<=> ( typeCorrect(X1)
& typeCorrect(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_039) ).
fof(f40,axiom,
l = low(zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_040) ).
fof(f41,axiom,
h = high(zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_041) ).
fof(f42,axiom,
! [X0] : ~ elem(X0,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_042) ).
fof(f43,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X1 = X0
| elem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_043) ).
fof(f44,axiom,
! [X0,X1,X2] :
( eval(X0,nand(X1,X2))
<=> ( ~ eval(X0,X1)
| ~ eval(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_044) ).
fof(f46,axiom,
! [X0] : ~ eval(X0,fF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_046) ).
fof(f47,axiom,
! [X0,X1] :
( eval(X0,var(X1))
<=> elem(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_047) ).
fof(f48,axiom,
! [X0] : del(X0,nil) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_048) ).
fof(f50,axiom,
! [X0,X1,X2] :
( X0 != X1
=> del(X0,cons(X1,X2)) = cons(X1,del(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_050) ).
fof(f51,axiom,
! [X0] : run(X0,skip) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_051) ).
fof(f52,axiom,
! [X0,X1,X2] :
( eval(X0,X2)
=> run(X0,assign(X1,X2)) = cons(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_052) ).
fof(f53,axiom,
! [X0,X1,X2] :
( ~ eval(X0,X2)
=> run(X0,assign(X1,X2)) = del(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_053) ).
fof(f55,axiom,
! [X0,X1,X2,X3] :
( eval(X0,X1)
=> run(X0,ifThenElse(X1,X2,X3)) = run(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_055) ).
fof(f56,axiom,
! [X0,X1,X2,X3] :
( ~ eval(X0,X1)
=> run(X0,ifThenElse(X1,X2,X3)) = run(X0,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_056) ).
fof(f57,conjecture,
? [X0,X1] :
~ ( typeCorrect(X0)
=> ( elem(l,run(X1,X0))
<=> elem(l,run(cons(h,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_057) ).
fof(f58,negated_conjecture,
~ ? [X0,X1] :
~ ( typeCorrect(X0)
=> ( elem(l,run(X1,X0))
<=> elem(l,run(cons(h,X1),X0)) ) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( ( elem(l,run(X1,X0))
<=> elem(l,run(cons(h,X1),X0)) )
| ~ typeCorrect(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f60,plain,
! [X0,X1,X2] :
( run(X0,assign(X1,X2)) = cons(X1,X0)
| ~ eval(X0,X2) ),
inference(ennf_transformation,[],[f52]) ).
fof(f61,plain,
! [X0,X1,X2] :
( del(X0,cons(X1,X2)) = cons(X1,del(X0,X2))
| X0 = X1 ),
inference(ennf_transformation,[],[f50]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( run(X0,ifThenElse(X1,X2,X3)) = run(X0,X3)
| eval(X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f64,plain,
! [X0,X1,X2,X3] :
( run(X0,ifThenElse(X1,X2,X3)) = run(X0,X2)
| ~ eval(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f65,plain,
! [X0,X1,X2] :
( run(X0,assign(X1,X2)) = del(X1,X0)
| eval(X0,X2) ),
inference(ennf_transformation,[],[f53]) ).
fof(f66,plain,
! [X0] :
( ~ secret(X0)
| var(proj1Var(X0)) = X0
| nand(proj1Nand(X0),proj2Nand(X0)) = X0 ),
inference(ennf_transformation,[],[f31]) ).
fof(f67,plain,
! [X0] :
( ~ secret(X0)
| var(proj1Var(X0)) = X0
| nand(proj1Nand(X0),proj2Nand(X0)) = X0 ),
inference(flattening,[],[f66]) ).
fof(f68,plain,
! [X0,X1] :
( ( ( elem(l,run(X1,X0))
| ~ elem(l,run(cons(h,X1),X0)) )
& ( elem(l,run(cons(h,X1),X0))
| ~ elem(l,run(X1,X0)) ) )
| ~ typeCorrect(X0) ),
inference(nnf_transformation,[],[f59]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X1 = X0
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ( elem(X0,cons(X1,X2))
| ( X0 != X1
& ~ elem(X0,X2) ) )
& ( X1 = X0
| elem(X0,X2)
| ~ elem(X0,cons(X1,X2)) ) ),
inference(flattening,[],[f69]) ).
fof(f71,plain,
! [X0,X1,X2] :
( ( typeCorrect(ifThenElse(X0,X1,X2))
| ~ typeCorrect(X1)
| ~ typeCorrect(X2) )
& ( ( typeCorrect(X1)
& typeCorrect(X2) )
| ~ typeCorrect(ifThenElse(X0,X1,X2)) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ( typeCorrect(ifThenElse(X0,X1,X2))
| ~ typeCorrect(X1)
| ~ typeCorrect(X2) )
& ( ( typeCorrect(X1)
& typeCorrect(X2) )
| ~ typeCorrect(ifThenElse(X0,X1,X2)) ) ),
inference(flattening,[],[f71]) ).
fof(f75,plain,
! [X0,X1] :
( ( typeCorrect(assign(low(X1),X0))
| secret(X0) )
& ( ~ secret(X0)
| ~ typeCorrect(assign(low(X1),X0)) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f76,plain,
! [X0,X1] :
( ( eval(X0,var(X1))
| ~ elem(X1,X0) )
& ( elem(X1,X0)
| ~ eval(X0,var(X1)) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( eval(X0,nand(X1,X2))
| ( eval(X0,X1)
& eval(X0,X2) ) )
& ( ~ eval(X0,X1)
| ~ eval(X0,X2)
| ~ eval(X0,nand(X1,X2)) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( eval(X0,nand(X1,X2))
| ( eval(X0,X1)
& eval(X0,X2) ) )
& ( ~ eval(X0,X1)
| ~ eval(X0,X2)
| ~ eval(X0,nand(X1,X2)) ) ),
inference(flattening,[],[f77]) ).
fof(f79,plain,
! [X0,X1] :
( ( secret(nand(X0,X1))
| ( ~ secret(X0)
& ~ secret(X1) ) )
& ( secret(X0)
| secret(X1)
| ~ secret(nand(X0,X1)) ) ),
inference(nnf_transformation,[],[f32]) ).
fof(f80,plain,
! [X0,X1] :
( ( secret(nand(X0,X1))
| ( ~ secret(X0)
& ~ secret(X1) ) )
& ( secret(X0)
| secret(X1)
| ~ secret(nand(X0,X1)) ) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1] :
( elem(l,run(cons(h,X1),X0))
| ~ elem(l,run(X1,X0))
| ~ typeCorrect(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f82,plain,
! [X0,X1] :
( ~ elem(l,run(cons(h,X1),X0))
| elem(l,run(X1,X0))
| ~ typeCorrect(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f83,plain,
! [X2,X0,X1] :
( run(X0,assign(X1,X2)) = cons(X1,X0)
| ~ eval(X0,X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f84,plain,
! [X2,X0,X1] :
( del(X0,cons(X1,X2)) = cons(X1,del(X0,X2))
| X0 = X1 ),
inference(cnf_transformation,[],[f61]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| elem(X0,X2)
| X0 = X1 ),
inference(cnf_transformation,[],[f70]) ).
fof(f88,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 != X1 ),
inference(cnf_transformation,[],[f70]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ typeCorrect(ifThenElse(X0,X1,X2))
| typeCorrect(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f94,plain,
! [X2,X0,X1] :
( typeCorrect(ifThenElse(X0,X1,X2))
| ~ typeCorrect(X1)
| ~ typeCorrect(X2) ),
inference(cnf_transformation,[],[f72]) ).
fof(f99,plain,
! [X0,X1] :
( typeCorrect(assign(low(X1),X0))
| secret(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f101,plain,
typeCorrect(skip),
inference(cnf_transformation,[],[f35]) ).
fof(f102,plain,
! [X0,X1] :
( ~ eval(X0,var(X1))
| elem(X1,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f103,plain,
! [X0,X1] :
( eval(X0,var(X1))
| ~ elem(X1,X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f104,plain,
! [X0] : ~ elem(X0,nil),
inference(cnf_transformation,[],[f42]) ).
fof(f105,plain,
l = low(zero),
inference(cnf_transformation,[],[f40]) ).
fof(f106,plain,
h = high(zero),
inference(cnf_transformation,[],[f41]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( run(X0,ifThenElse(X1,X2,X3)) = run(X0,X3)
| eval(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f108,plain,
! [X2,X3,X0,X1] :
( run(X0,ifThenElse(X1,X2,X3)) = run(X0,X2)
| ~ eval(X0,X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f110,plain,
! [X2,X0,X1] :
( run(X0,assign(X1,X2)) = del(X1,X0)
| eval(X0,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f111,plain,
! [X0] : run(X0,skip) = X0,
inference(cnf_transformation,[],[f51]) ).
fof(f112,plain,
! [X0] : ~ eval(X0,fF),
inference(cnf_transformation,[],[f46]) ).
fof(f115,plain,
! [X2,X0,X1] :
( eval(X0,nand(X1,X2))
| eval(X0,X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f122,plain,
! [X0] : nil = del(X0,nil),
inference(cnf_transformation,[],[f48]) ).
fof(f131,plain,
! [X0] : ~ secret(var(low(X0))),
inference(cnf_transformation,[],[f34]) ).
fof(f132,plain,
! [X0] : secret(var(high(X0))),
inference(cnf_transformation,[],[f33]) ).
fof(f133,plain,
! [X0,X1] :
( ~ secret(nand(X0,X1))
| secret(X1)
| secret(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f136,plain,
! [X0] :
( nand(proj1Nand(X0),proj2Nand(X0)) = X0
| var(proj1Var(X0)) = X0
| ~ secret(X0) ),
inference(cnf_transformation,[],[f67]) ).
fof(f137,plain,
! [X0,X1] : high(X0) != low(X1),
inference(cnf_transformation,[],[f8]) ).
fof(f140,plain,
! [X0] : var(X0) != fF,
inference(cnf_transformation,[],[f17]) ).
fof(f142,plain,
! [X2,X0,X1] : nand(X0,X1) != var(X2),
inference(cnf_transformation,[],[f14]) ).
fof(f146,plain,
! [X0,X1] : nand(X0,X1) != fF,
inference(cnf_transformation,[],[f13]) ).
fof(f152,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f88]) ).
fof(f158,plain,
! [X0] :
( ~ elem(l,cons(h,X0))
| elem(l,run(X0,skip))
| ~ typeCorrect(skip) ),
inference(superposition,[],[f82,f111]) ).
fof(f159,plain,
! [X0] :
( ~ elem(l,cons(h,X0))
| elem(l,run(X0,skip)) ),
inference(forward_subsumption_resolution,[],[f158,f101]) ).
fof(f161,plain,
! [X0] :
( ~ elem(l,cons(h,X0))
| elem(l,X0) ),
inference(forward_demodulation,[],[f159,f111]) ).
fof(f224,plain,
! [X0] : low(X0) != h,
inference(superposition,[],[f137,f106]) ).
fof(f225,plain,
secret(var(h)),
inference(superposition,[],[f132,f106]) ).
fof(f226,plain,
l != h,
inference(superposition,[],[f224,f105]) ).
fof(f228,plain,
! [X0] :
( typeCorrect(assign(l,X0))
| secret(X0) ),
inference(superposition,[],[f99,f105]) ).
fof(f424,plain,
! [X2,X3,X0,X1] :
( ~ elem(l,run(X0,ifThenElse(X2,X1,X3)))
| elem(l,run(cons(h,X0),X1))
| ~ typeCorrect(ifThenElse(X2,X1,X3))
| ~ eval(cons(h,X0),X2) ),
inference(superposition,[],[f81,f108]) ).
fof(f488,plain,
! [X2,X3,X0,X1] :
( elem(l,run(cons(h,X0),X3))
| ~ elem(l,run(X0,X1))
| ~ typeCorrect(ifThenElse(X2,X3,X1))
| ~ eval(cons(h,X0),X2)
| eval(X0,X2) ),
inference(superposition,[],[f424,f107]) ).
fof(f642,plain,
! [X2,X3,X0,X1] :
( ~ elem(l,run(X0,X1))
| ~ typeCorrect(ifThenElse(X2,X3,X1))
| ~ eval(cons(h,X0),X2)
| eval(X0,X2)
| elem(l,run(X0,X3))
| ~ typeCorrect(X3) ),
inference(resolution,[],[f488,f82]) ).
fof(f661,plain,
! [X2,X3,X0,X1] :
( ~ eval(cons(h,X0),X2)
| ~ typeCorrect(ifThenElse(X2,X3,X1))
| ~ elem(l,run(X0,X1))
| eval(X0,X2)
| elem(l,run(X0,X3)) ),
inference(forward_subsumption_resolution,[],[f642,f93]) ).
fof(f765,plain,
! [X2,X3,X0,X1] :
( ~ typeCorrect(ifThenElse(var(X0),X1,X2))
| ~ elem(l,run(X3,X2))
| eval(X3,var(X0))
| elem(l,run(X3,X1))
| ~ elem(X0,cons(h,X3)) ),
inference(resolution,[],[f661,f103]) ).
fof(f963,plain,
! [X2,X0,X1] :
( elem(l,del(X0,cons(h,X1)))
| ~ elem(l,run(X1,assign(X0,X2)))
| ~ typeCorrect(assign(X0,X2))
| eval(cons(h,X1),X2) ),
inference(superposition,[],[f81,f110]) ).
fof(f1077,plain,
! [X2,X0,X1] :
( elem(l,cons(h,del(X0,X1)))
| ~ elem(l,run(X1,assign(X0,X2)))
| ~ typeCorrect(assign(X0,X2))
| eval(cons(h,X1),X2)
| h = X0 ),
inference(superposition,[],[f963,f84]) ).
fof(f1078,plain,
! [X2,X0,X1] :
( ~ elem(l,run(X0,assign(X1,X2)))
| ~ typeCorrect(assign(X1,X2))
| eval(cons(h,X0),X2)
| h = X1
| elem(l,del(X1,X0)) ),
inference(resolution,[],[f1077,f161]) ).
fof(f1087,definition,
( spl0_4
<=> elem(l,cons(h,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1088,plain,
( ~ elem(l,cons(h,nil))
| spl0_4 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1089,plain,
( elem(l,cons(h,nil))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f1087]) ).
fof(f1092,plain,
! [X2,X0,X1] :
( ~ typeCorrect(assign(X0,X1))
| eval(cons(h,cons(h,X2)),X1)
| h = X0
| elem(l,del(X0,cons(h,X2)))
| ~ elem(l,run(X2,assign(X0,X1)))
| ~ typeCorrect(assign(X0,X1)) ),
inference(resolution,[],[f1078,f81]) ).
fof(f1110,plain,
! [X2,X0,X1] :
( eval(cons(h,cons(h,X2)),X1)
| ~ typeCorrect(assign(X0,X1))
| h = X0
| elem(l,del(X0,cons(h,X2)))
| ~ elem(l,run(X2,assign(X0,X1))) ),
inference(duplicate_literal_removal,[],[f1092]) ).
fof(f1148,plain,
! [X0,X1] :
( elem(l,del(X0,cons(h,X1)))
| h = X0
| ~ typeCorrect(assign(X0,fF))
| ~ elem(l,run(X1,assign(X0,fF))) ),
inference(resolution,[],[f1110,f112]) ).
fof(f1204,plain,
! [X0,X1] :
( var(proj1Var(X0)) = X0
| var(X1) != X0
| ~ secret(X0) ),
inference(superposition,[],[f142,f136]) ).
fof(f1212,plain,
! [X2,X0,X1] :
( elem(proj1Var(X0),X1)
| ~ eval(X1,X0)
| var(X2) != X0
| ~ secret(X0) ),
inference(superposition,[],[f102,f1204]) ).
fof(f1241,plain,
! [X0,X1] :
( var(X1) != X0
| fF != X0
| ~ secret(X0) ),
inference(superposition,[],[f140,f1204]) ).
fof(f3462,plain,
! [X0,X1] :
( var(X1) != X0
| ~ eval(nil,X0)
| ~ secret(X0) ),
inference(resolution,[],[f1212,f104]) ).
fof(f5619,plain,
! [X0] :
( fF != X0
| var(proj1Var(X0)) = X0
| ~ secret(X0) ),
inference(superposition,[],[f146,f136]) ).
fof(f5620,plain,
! [X0] :
( fF != X0
| ~ secret(X0) ),
inference(forward_subsumption_resolution,[],[f5619,f1241]) ).
fof(f5621,plain,
~ secret(fF),
inference(equality_resolution,[],[f5620]) ).
fof(f5750,plain,
! [X0] :
( ~ eval(nil,var(X0))
| ~ secret(var(X0)) ),
inference(equality_resolution,[],[f3462]) ).
fof(f7255,plain,
! [X0,X1] :
( elem(l,cons(h,del(X0,X1)))
| h = X0
| ~ typeCorrect(assign(X0,fF))
| ~ elem(l,run(X1,assign(X0,fF)))
| h = X0 ),
inference(superposition,[],[f1148,f84]) ).
fof(f7256,plain,
! [X0,X1] :
( elem(l,cons(h,del(X0,X1)))
| h = X0
| ~ typeCorrect(assign(X0,fF))
| ~ elem(l,run(X1,assign(X0,fF))) ),
inference(duplicate_literal_removal,[],[f7255]) ).
fof(f7274,plain,
! [X0] :
( elem(l,cons(h,nil))
| h = X0
| ~ typeCorrect(assign(X0,fF))
| ~ elem(l,run(nil,assign(X0,fF))) ),
inference(superposition,[],[f7256,f122]) ).
fof(f7276,plain,
( ! [X0] :
( ~ elem(l,run(nil,assign(X0,fF)))
| ~ typeCorrect(assign(X0,fF))
| h = X0 )
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f7274,f1088]) ).
fof(f7993,plain,
! [X2,X3,X0,X1] :
( elem(l,run(X0,X3))
| eval(X0,var(X2))
| ~ elem(l,run(X0,X1))
| ~ elem(X2,cons(h,X0))
| ~ typeCorrect(X3)
| ~ typeCorrect(X1) ),
inference(resolution,[],[f765,f94]) ).
fof(f8073,plain,
( ! [X2,X0,X1] :
( eval(nil,var(X0))
| ~ elem(l,run(nil,X1))
| ~ elem(X0,cons(h,nil))
| ~ typeCorrect(assign(X2,fF))
| ~ typeCorrect(X1)
| ~ typeCorrect(assign(X2,fF))
| h = X2 )
| spl0_4 ),
inference(resolution,[],[f7993,f7276]) ).
fof(f8090,plain,
( ! [X2,X0,X1] :
( eval(nil,var(X0))
| ~ elem(l,run(nil,X1))
| ~ elem(X0,cons(h,nil))
| ~ typeCorrect(assign(X2,fF))
| ~ typeCorrect(X1)
| h = X2 )
| spl0_4 ),
inference(duplicate_literal_removal,[],[f8073]) ).
fof(f8138,definition,
( spl0_18
<=> ! [X1] :
( ~ elem(l,run(nil,X1))
| ~ typeCorrect(X1) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f8139,plain,
( ! [X1] :
( ~ elem(l,run(nil,X1))
| ~ typeCorrect(X1) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f8138]) ).
fof(f8141,definition,
( spl0_19
<=> ! [X0] :
( eval(nil,var(X0))
| ~ elem(X0,cons(h,nil)) ) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f8142,plain,
( ! [X0] :
( ~ elem(X0,cons(h,nil))
| eval(nil,var(X0)) )
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f8141]) ).
fof(f8145,definition,
( spl0_20
<=> ! [X2] :
( ~ typeCorrect(assign(X2,fF))
| h = X2 ) ),
introduced(definition,[new_symbols(definition,[spl0_20])],[avatar_definition]) ).
fof(f8146,plain,
( ! [X2] :
( ~ typeCorrect(assign(X2,fF))
| h = X2 )
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f8145]) ).
fof(f8147,plain,
( spl0_20
| spl0_18
| spl0_19
| spl0_4 ),
inference(avatar_split_clause,[],[f8090,f1087,f8141,f8138,f8145]) ).
fof(f8205,plain,
( elem(l,nil)
| l = h
| ~ spl0_4 ),
inference(resolution,[],[f1089,f86]) ).
fof(f8206,plain,
( l = h
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f8205,f104]) ).
fof(f8209,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f8206,f226]) ).
fof(f8210,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f8209]) ).
fof(f8458,plain,
( eval(nil,var(h))
| ~ spl0_19 ),
inference(resolution,[],[f8142,f152]) ).
fof(f8462,plain,
( ~ secret(var(h))
| ~ spl0_19 ),
inference(resolution,[],[f8458,f5750]) ).
fof(f8466,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f8462,f225]) ).
fof(f8467,plain,
~ spl0_19,
inference(avatar_contradiction_clause,[],[f8466]) ).
fof(f8469,plain,
( ! [X0] :
( low(X0) = h
| secret(fF) )
| ~ spl0_20 ),
inference(resolution,[],[f8146,f99]) ).
fof(f8473,plain,
( ! [X0] : low(X0) = h
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f8469,f5621]) ).
fof(f8476,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[],[f8473,f224]) ).
fof(f8477,plain,
~ spl0_20,
inference(avatar_contradiction_clause,[],[f8476]) ).
fof(f8526,plain,
( ! [X0,X1] :
( ~ elem(l,cons(X0,nil))
| ~ typeCorrect(assign(X0,X1))
| ~ eval(nil,X1) )
| ~ spl0_18 ),
inference(superposition,[],[f8139,f83]) ).
fof(f10158,plain,
( ! [X0] :
( ~ typeCorrect(assign(l,X0))
| ~ eval(nil,X0) )
| ~ spl0_18 ),
inference(resolution,[],[f8526,f152]) ).
fof(f10425,plain,
( ! [X0] :
( ~ eval(nil,X0)
| secret(X0) )
| ~ spl0_18 ),
inference(resolution,[],[f10158,f228]) ).
fof(f10426,plain,
( ! [X0,X1] :
( secret(nand(X0,X1))
| eval(nil,X1) )
| ~ spl0_18 ),
inference(resolution,[],[f10425,f115]) ).
fof(f12172,plain,
( ! [X0,X1] :
( eval(nil,X0)
| secret(X0)
| secret(X1) )
| ~ spl0_18 ),
inference(resolution,[],[f10426,f133]) ).
fof(f12174,plain,
( ! [X0,X1] :
( secret(X0)
| secret(X1) )
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f12172,f10425]) ).
fof(f12176,definition,
( spl0_51
<=> ! [X1] : secret(X1) ),
introduced(definition,[new_symbols(definition,[spl0_51])],[avatar_definition]) ).
fof(f12177,plain,
( ! [X1] : secret(X1)
| ~ spl0_51 ),
inference(avatar_component_clause,[],[f12176]) ).
fof(f12178,plain,
( spl0_51
| spl0_51
| ~ spl0_18 ),
inference(avatar_split_clause,[],[f12174,f8138,f12176,f12176]) ).
fof(f12180,plain,
( $false
| ~ spl0_51 ),
inference(resolution,[],[f12177,f131]) ).
fof(f12185,plain,
~ spl0_51,
inference(avatar_contradiction_clause,[],[f12180]) ).
cnf(s28,plain,
( spl0_4
| spl0_18
| spl0_19
| spl0_20 ),
inference(sat_conversion,[],[f8147]) ).
cnf(s36,plain,
~ spl0_4,
inference(sat_conversion,[],[f8210]) ).
cnf(s42,plain,
~ spl0_19,
inference(sat_conversion,[],[f8467]) ).
cnf(s44,plain,
~ spl0_20,
inference(sat_conversion,[],[f8477]) ).
cnf(s77,plain,
( spl0_51
| ~ spl0_18
| spl0_51 ),
inference(sat_conversion,[],[f12178]) ).
cnf(s78,plain,
( ~ spl0_18
| spl0_51 ),
inference(rat,[],[s77]) ).
cnf(s81,plain,
~ spl0_51,
inference(sat_conversion,[],[f12185]) ).
cnf(s82,plain,
~ spl0_18,
inference(rat,[],[s78,s81]) ).
cnf(s95,plain,
$false,
inference(rat,[],[s28,s44,s42,s82,s36]) ).
fof(f12186,plain,
$false,
inference(avatar_sat_refutation,[],[s95]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX240_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 % Computer : n026.cluster.edu
% 0.10/0.24 % Model : x86_64 x86_64
% 0.10/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.24 % Memory : 8046.5625MB
% 0.10/0.24 % OS : Linux 6.8.0-71-generic
% 0.10/0.24 % CPULimit : 300
% 0.10/0.24 % WCLimit : 300
% 0.10/0.24 % DateTime : Mon Sep 28 15:20:42 UTC 2026
% 0.10/0.24 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.29 Running first-order theorem proving
% 0.24/0.29 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
% 20.62/3.62 % (3931938)Detected formulas, will run a generic FOF schedule.
% 20.62/3.62 % (3931947)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3051686380:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 20.62/3.62 % (3931945)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=3493069271:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 20.62/3.62 % (3931951)dis-21_1_sil=8000:lcm=predicate:random_seed=2752635018:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 20.62/3.62 % (3931949)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2790918330:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 20.62/3.62 % (3931950)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=376594868:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 20.62/3.62 % (3931948)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3308275177:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 20.62/3.62 % (3931946)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=515972296:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 20.62/3.62 % (3931948)Instruction limit reached!
% 20.62/3.62 % (3931948)------------------------------
% 20.62/3.62 % (3931948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.62/3.62 % (3931948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/3.62 % (3931948)CaDiCaL version: 2.1.3
% 20.62/3.62 % (3931948)Termination reason: Instruction limit
% 20.62/3.62 % (3931948)Termination phase: Saturation
% 20.62/3.62 % (3931948)Time elapsed: 0.110 s
% 20.62/3.62 % (3931948)Peak memory usage: 89 MB
% 20.62/3.62 % (3931948)Instructions burned: 109 (million)
% 20.62/3.62 % (3931949)Instruction limit reached!
% 20.62/3.62 % (3931949)------------------------------
% 20.62/3.62 % (3931949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.62/3.62 % (3931949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/3.62 % (3931949)CaDiCaL version: 2.1.3
% 20.62/3.62 % (3931949)Termination reason: Instruction limit
% 20.62/3.62 % (3931949)Termination phase: Saturation
% 20.62/3.62 % (3931949)Time elapsed: 0.112 s
% 20.62/3.62 % (3931949)Peak memory usage: 88 MB
% 20.62/3.62 % (3931949)Instructions burned: 120 (million)
% 20.62/3.62 % (3931951)Instruction limit reached!
% 20.62/3.62 % (3931951)------------------------------
% 20.62/3.62 % (3931951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.62/3.62 % (3931951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/3.62 % (3931951)CaDiCaL version: 2.1.3
% 20.62/3.62 % (3931951)Termination reason: Instruction limit
% 20.62/3.62 % (3931951)Termination phase: Saturation
% 20.62/3.62 % (3931951)Time elapsed: 0.121 s
% 20.62/3.62 % (3931951)Peak memory usage: 89 MB
% 20.62/3.62 % (3931951)Instructions burned: 130 (million)
% 20.62/3.62 % (3931950)Instruction limit reached!
% 20.62/3.62 % (3931950)------------------------------
% 20.62/3.62 % (3931950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.62/3.62 % (3931950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.62/3.62 % (3931950)CaDiCaL version: 2.1.3
% 20.62/3.62 % (3931950)Termination reason: Instruction limit
% 20.62/3.62 % (3931950)Termination phase: Saturation
% 20.62/3.62 % (3931950)Time elapsed: 0.150 s
% 20.62/3.62 % (3931950)Peak memory usage: 90 MB
% 20.62/3.62 % (3931950)Instructions burned: 140 (million)
% 20.62/3.62 % (3931959)lrs+10_1_sil=8000:sp=occurrence:random_seed=2460574932:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 20.62/3.62 % (3931960)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3482791081:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 20.62/3.62 % (3931961)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3417030998:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 20.62/3.62 % (3931962)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2329676040:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 20.62/3.62 % (3931960)Instruction limit reached!
% 29.27/4.99 % (3931960)------------------------------
% 29.27/4.99 % (3931960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.27/4.99 % (3931960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.99 % (3931960)CaDiCaL version: 2.1.3
% 29.27/4.99 % (3931960)Termination reason: Instruction limit
% 29.27/4.99 % (3931960)Termination phase: Saturation
% 29.27/4.99 % (3931960)Time elapsed: 0.146 s
% 29.27/4.99 % (3931960)Peak memory usage: 90 MB
% 29.27/4.99 % (3931960)Instructions burned: 157 (million)
% 29.27/4.99 % (3931959)Instruction limit reached!
% 29.27/4.99 % (3931959)------------------------------
% 29.27/4.99 % (3931959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.27/4.99 % (3931959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.99 % (3931959)CaDiCaL version: 2.1.3
% 29.27/4.99 % (3931959)Termination reason: Instruction limit
% 29.27/4.99 % (3931959)Termination phase: Saturation
% 29.27/4.99 % (3931959)Time elapsed: 0.271 s
% 29.27/4.99 % (3931959)Peak memory usage: 90 MB
% 29.27/4.99 % (3931959)Instructions burned: 285 (million)
% 29.27/4.99 % (3931962)Instruction limit reached!
% 29.27/4.99 % (3931962)------------------------------
% 29.27/4.99 % (3931962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.27/4.99 % (3931962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.99 % (3931962)CaDiCaL version: 2.1.3
% 29.27/4.99 % (3931962)Termination reason: Instruction limit
% 29.27/4.99 % (3931962)Termination phase: Saturation
% 29.27/4.99 % (3931962)Time elapsed: 0.233 s
% 29.27/4.99 % (3931962)Peak memory usage: 92 MB
% 29.27/4.99 % (3931962)Instructions burned: 248 (million)
% 29.27/4.99 % (3931967)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2136513789:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 29.27/4.99 % (3931961)Instruction limit reached!
% 29.27/4.99 % (3931961)------------------------------
% 29.27/4.99 % (3931961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.27/4.99 % (3931961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.99 % (3931961)CaDiCaL version: 2.1.3
% 29.27/4.99 % (3931961)Termination reason: Instruction limit
% 29.27/4.99 % (3931961)Termination phase: Saturation
% 29.27/4.99 % (3931961)Time elapsed: 0.342 s
% 29.27/4.99 % (3931961)Peak memory usage: 91 MB
% 29.27/4.99 % (3931961)Instructions burned: 325 (million)
% 29.27/4.99 % (3931968)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=305122284:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 29.27/4.99 % (3931969)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=573472353:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 29.27/4.99 % (3931971)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1463862071:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 29.27/4.99 % (3931969)Instruction limit reached!
% 29.27/4.99 % (3931969)------------------------------
% 29.27/4.99 % (3931969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.27/4.99 % (3931969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.99 % (3931969)CaDiCaL version: 2.1.3
% 29.27/4.99 % (3931969)Termination reason: Instruction limit
% 29.27/4.99 % (3931969)Termination phase: Saturation
% 29.27/4.99 % (3931969)Time elapsed: 0.114 s
% 29.27/4.99 % (3931969)Peak memory usage: 89 MB
% 29.27/4.99 % (3931969)Instructions burned: 114 (million)
% 29.27/4.99 % (3931967)Instruction limit reached!
% 29.27/4.99 % (3931967)------------------------------
% 29.27/4.99 % (3931967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.27/4.99 % (3931967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.99 % (3931967)CaDiCaL version: 2.1.3
% 29.27/4.99 % (3931967)Termination reason: Instruction limit
% 29.27/4.99 % (3931967)Termination phase: Saturation
% 29.27/4.99 % (3931967)Time elapsed: 0.287 s
% 29.27/4.99 % (3931967)Peak memory usage: 89 MB
% 29.27/4.99 % (3931967)Instructions burned: 295 (million)
% 29.27/4.99 % (3931971)Instruction limit reached!
% 29.27/4.99 % (3931971)------------------------------
% 29.27/4.99 % (3931971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.27/4.99 % (3931971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.27/4.99 % (3931971)CaDiCaL version: 2.1.3
% 29.27/4.99 % (3931971)Termination reason: Instruction limit
% 29.27/4.99 % (3931971)Termination phase: Saturation
% 36.40/5.89 % (3931971)Time elapsed: 0.099 s
% 36.40/5.89 % (3931971)Peak memory usage: 88 MB
% 36.40/5.89 % (3931971)Instructions burned: 127 (million)
% 36.40/5.89 % (3931976)lrs+10_1_sil=8000:sp=occurrence:random_seed=4213727409:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2988 on theBenchmark for (2988ds/907Mi)
% 36.40/5.89 % (3931975)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2515342663:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 36.40/5.89 % (3931977)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=13177857:i=437:sd=1:aac=none:ss=included_2987 on theBenchmark for (2987ds/437Mi)
% 36.40/5.89 % (3931975)Instruction limit reached!
% 36.40/5.89 % (3931975)------------------------------
% 36.40/5.89 % (3931975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/5.89 % (3931975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/5.89 % (3931975)CaDiCaL version: 2.1.3
% 36.40/5.89 % (3931975)Termination reason: Instruction limit
% 36.40/5.89 % (3931975)Termination phase: Saturation
% 36.40/5.89 % (3931975)Time elapsed: 0.114 s
% 36.40/5.89 % (3931975)Peak memory usage: 89 MB
% 36.40/5.89 % (3931975)Instructions burned: 114 (million)
% 36.40/5.89 % (3931981)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2304227994:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 36.40/5.89 % (3931977)Instruction limit reached!
% 36.40/5.89 % (3931977)------------------------------
% 36.40/5.89 % (3931977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/5.89 % (3931977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/5.89 % (3931977)CaDiCaL version: 2.1.3
% 36.40/5.89 % (3931977)Termination reason: Instruction limit
% 36.40/5.89 % (3931977)Termination phase: Saturation
% 36.40/5.89 % (3931977)Time elapsed: 0.368 s
% 36.40/5.89 % (3931977)Peak memory usage: 90 MB
% 36.40/5.89 % (3931977)Instructions burned: 437 (million)
% 36.40/5.89 % (3931983)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4243554026:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2981 on theBenchmark for (2981ds/134Mi)
% 36.40/5.89 % (3931983)Instruction limit reached!
% 36.40/5.89 % (3931983)------------------------------
% 36.40/5.89 % (3931983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/5.89 % (3931983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/5.89 % (3931983)CaDiCaL version: 2.1.3
% 36.40/5.89 % (3931983)Termination reason: Instruction limit
% 36.40/5.89 % (3931983)Termination phase: Saturation
% 36.40/5.89 % (3931983)Time elapsed: 0.115 s
% 36.40/5.89 % (3931983)Peak memory usage: 91 MB
% 36.40/5.89 % (3931983)Instructions burned: 134 (million)
% 36.40/5.89 % (3931976)Instruction limit reached!
% 36.40/5.89 % (3931976)------------------------------
% 36.40/5.89 % (3931976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/5.89 % (3931976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/5.89 % (3931976)CaDiCaL version: 2.1.3
% 36.40/5.89 % (3931976)Termination reason: Instruction limit
% 36.40/5.89 % (3931976)Termination phase: Saturation
% 36.40/5.89 % (3931976)Time elapsed: 0.862 s
% 36.40/5.89 % (3931976)Peak memory usage: 94 MB
% 36.40/5.89 % (3931976)Instructions burned: 907 (million)
% 36.40/5.89 % (3931985)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=482613961:st=8:i=592:sd=3:ep=RST:ss=axioms_2978 on theBenchmark for (2978ds/592Mi)
% 36.40/5.89 % (3931985)Refutation not found, incomplete strategy
% 36.40/5.89 % (3931985)------------------------------
% 36.40/5.89 % (3931985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/5.89 % (3931985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/5.89 % (3931985)CaDiCaL version: 2.1.3
% 36.40/5.89 % (3931985)Termination reason: Refutation not found, incomplete strategy
% 36.40/5.89 % (3931985)Time elapsed: 0.003 s
% 36.40/5.89 % (3931985)Peak memory usage: 88 MB
% 36.40/5.89 % (3931985)Instructions burned: 2 (million)
% 36.40/5.89 % (3931986)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2369629736:st=3:i=13193:sd=3:ss=axioms_2977 on theBenchmark for (2977ds/13193Mi)
% 36.40/5.89 % (3931985)------------------------------
% 36.40/5.89 % (3931985)------------------------------
% 36.40/5.89 % (3931989)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=1517763185:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 36.40/5.89 % (3931989)Instruction limit reached!
% 36.40/5.89 % (3931989)------------------------------
% 36.40/5.89 % (3931989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/5.89 % (3931989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/5.89 % (3931989)CaDiCaL version: 2.1.3
% 36.40/5.89 % (3931989)Termination reason: Instruction limit
% 36.40/5.89 % (3931989)Termination phase: Saturation
% 36.40/5.89 % (3931989)Time elapsed: 0.136 s
% 36.40/5.89 % (3931989)Peak memory usage: 90 MB
% 36.40/5.89 % (3931989)Instructions burned: 126 (million)
% 36.40/5.89 % (3931991)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2272322229:i=134:gtgl=5:slsql=off:gtg=exists_sym_2969 on theBenchmark for (2969ds/134Mi)
% 36.40/5.89 % (3931991)Instruction limit reached!
% 36.40/5.89 % (3931991)------------------------------
% 36.40/5.89 % (3931991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/5.89 % (3931991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/5.89 % (3931991)CaDiCaL version: 2.1.3
% 36.40/5.89 % (3931991)Termination reason: Instruction limit
% 36.40/5.89 % (3931991)Termination phase: Saturation
% 36.40/5.89 % (3931991)Time elapsed: 0.073 s
% 36.40/5.89 % (3931991)Peak memory usage: 89 MB
% 36.40/5.89 % (3931991)Instructions burned: 135 (million)
% 36.40/5.89 % (3931968)Instruction limit reached!
% 36.40/5.89 % (3931968)------------------------------
% 36.40/5.89 % (3931968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/5.89 % (3931968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/5.89 % (3931968)CaDiCaL version: 2.1.3
% 36.40/5.89 % (3931968)Termination reason: Instruction limit
% 36.40/5.89 % (3931968)Termination phase: Saturation
% 36.40/5.89 % (3931968)Time elapsed: 2.369 s
% 36.40/5.89 % (3931968)Peak memory usage: 140 MB
% 36.40/5.89 % (3931968)Instructions burned: 2350 (million)
% 36.40/5.89 % (3931993)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3525696444:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2967 on theBenchmark for (2967ds/141Mi)
% 36.40/5.89 % (3931993)Refutation not found, incomplete strategy
% 36.40/5.89 % (3931993)------------------------------
% 36.40/5.89 % (3931993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/5.89 % (3931993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/5.89 % (3931993)CaDiCaL version: 2.1.3
% 36.40/5.89 % (3931993)Termination reason: Refutation not found, incomplete strategy
% 36.40/5.89 % (3931993)Time elapsed: 0.002 s
% 36.40/5.89 % (3931993)Peak memory usage: 88 MB
% 36.40/5.89 % (3931993)Instructions burned: 1 (million)
% 36.40/5.89 % (3931994)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3609775459:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 36.40/5.89 % (3931994)Refutation not found, incomplete strategy
% 36.40/5.89 % (3931994)------------------------------
% 36.40/5.89 % (3931994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/5.89 % (3931994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/5.89 % (3931994)CaDiCaL version: 2.1.3
% 36.40/5.89 % (3931994)Termination reason: Refutation not found, incomplete strategy
% 36.40/5.89 % (3931994)Time elapsed: 0.002 s
% 36.40/5.89 % (3931994)Peak memory usage: 88 MB
% 36.40/5.89 % (3931994)Instructions burned: 1 (million)
% 36.40/5.89 % (3931993)------------------------------
% 36.40/5.89 % (3931993)------------------------------
% 36.40/5.89 % (3931999)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=19788900:i=6060:aac=none:ins=25_2963 on theBenchmark for (2963ds/6060Mi)
% 36.40/5.89 % (3931994)------------------------------
% 36.40/5.89 % (3931994)------------------------------
% 36.40/5.89 % (3932001)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2944568344:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2961 on theBenchmark for (2961ds/150Mi)
% 36.40/5.89 % (3932001)Instruction limit reached!
% 36.40/5.89 % (3932001)------------------------------
% 36.40/5.89 % (3932001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 36.40/5.89 % (3932001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 36.40/5.89 % (3932001)CaDiCaL version: 2.1.3
% 36.40/5.89 % (3932001)Termination reason: Instruction limit
% 36.40/5.89 % (3932001)Termination phase: Saturation
% 36.40/5.89 % (3932001)Time elapsed: 0.160 s
% 36.40/5.89 % (3932001)Peak memory usage: 90 MB
% 36.40/5.89 % (3932001)Instructions burned: 150 (million)
% 36.40/5.89 % (3932003)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2461056195:i=14155:bd=all_2957 on theBenchmark for (2957ds/14155Mi)
% 36.40/5.89 % (3931981)First to succeed.
% 36.40/5.89 % (3931981)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3931938"
% 36.40/5.89 % (3931981)Refutation found. Thanks to Tanya!
% 36.40/5.89 % SZS status Theorem for theBenchmark
% 36.40/5.89 % SZS output start Proof for theBenchmark
% See solution above
% 37.22/6.12 % (3931981)------------------------------
% 37.22/6.12 % (3931981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 37.22/6.12 % (3931981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 37.22/6.12 % (3931981)CaDiCaL version: 2.1.3
% 37.22/6.12 % (3931981)Termination reason: Refutation
% 37.22/6.12 % (3931981)Time elapsed: 3.055 s
% 37.22/6.12 % (3931981)Peak memory usage: 146 MB
% 37.22/6.12 % (3931981)Instructions burned: 3022 (million)
% 37.22/6.12 % (3931981)------------------------------
% 37.22/6.12 % (3931981)------------------------------
% 37.22/6.12 % (3931938)Success in time 5.154 s
% 37.22/6.12 % Vampire exiting
%------------------------------------------------------------------------------