%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX240_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 01:46:49 PM UTC 2026
% Result : Theorem 13.29s 2.28s
% Output : Refutation 13.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 21
% Syntax : Number of formulae : 106 ( 39 unt; 0 def)
% Number of atoms : 207 ( 53 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 170 ( 69 ~; 84 |; 2 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 6 con; 0-3 aty)
% Number of variables : 187 ( 183 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] : high(X0) != low(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
fof(f12,axiom,
! [X0,X1] : nand(X0,X1) != tT,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_012) ).
fof(f16,axiom,
! [X0] : tT != var(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_016) ).
fof(f31,axiom,
! [X0] :
( X0 != nand(proj1Nand(X0),proj2Nand(X0))
=> ( X0 != var(proj1Var(X0))
=> ~ secret(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_031) ).
fof(f35,axiom,
typeCorrect(skip),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_035) ).
fof(f36,axiom,
! [X0,X1] : typeCorrect(assign(high(X1),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_036) ).
fof(f37,axiom,
! [X0,X1] :
( typeCorrect(assign(low(X1),X0))
<=> ~ secret(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_037) ).
fof(f38,axiom,
! [X0,X1] :
( typeCorrect(seq(X0,X1))
<=> ( typeCorrect(X0)
& typeCorrect(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_038) ).
fof(f39,axiom,
! [X0,X1,X2] :
( typeCorrect(ifThenElse(X0,X1,X2))
<=> ( typeCorrect(X1)
& typeCorrect(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_039) ).
fof(f40,axiom,
l = low(zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_040) ).
fof(f41,axiom,
h = high(zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_041) ).
fof(f42,axiom,
! [X0] : ~ elem(X0,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_042) ).
fof(f43,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X1 = X0
| elem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_043) ).
fof(f45,axiom,
! [X0] : eval(X0,tT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_045) ).
fof(f47,axiom,
! [X0,X1] :
( eval(X0,var(X1))
<=> elem(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_047) ).
fof(f51,axiom,
! [X0] : run(X0,skip) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',axiom_052) ).
fof(f54,axiom,
! [X0,X1,X2] : run(X0,seq(X1,X2)) = run(run(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_054) ).
fof(f55,axiom,
! [X0,X1,X2,X3] :
( eval(X0,X1)
=> run(X0,ifThenElse(X1,X2,X3)) = run(X0,X2) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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] :
( ~ secret(X0)
| var(proj1Var(X0)) = X0
| nand(proj1Nand(X0),proj2Nand(X0)) = X0 ),
inference(ennf_transformation,[],[f31]) ).
fof(f60,plain,
! [X0] :
( ~ secret(X0)
| var(proj1Var(X0)) = X0
| nand(proj1Nand(X0),proj2Nand(X0)) = X0 ),
inference(flattening,[],[f59]) ).
fof(f63,plain,
! [X0,X1,X2] :
( run(X0,assign(X1,X2)) = cons(X1,X0)
| ~ eval(X0,X2) ),
inference(ennf_transformation,[],[f52]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( run(X0,ifThenElse(X1,X2,X3)) = run(X0,X2)
| ~ eval(X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f66,plain,
! [X0,X1,X2,X3] :
( run(X0,ifThenElse(X1,X2,X3)) = run(X0,X3)
| eval(X0,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f67,plain,
! [X0,X1] :
( ( elem(l,run(X1,X0))
<=> elem(l,run(cons(h,X1),X0)) )
| ~ typeCorrect(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f75,plain,
! [X0,X1] : high(X0) != low(X1),
inference(cnf_transformation,[],[f8]) ).
fof(f79,plain,
! [X0,X1] : nand(X0,X1) != tT,
inference(cnf_transformation,[],[f12]) ).
fof(f83,plain,
! [X0] : var(X0) != tT,
inference(cnf_transformation,[],[f16]) ).
fof(f98,plain,
! [X0] :
( nand(proj1Nand(X0),proj2Nand(X0)) = X0
| var(proj1Var(X0)) = X0
| ~ secret(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f104,plain,
typeCorrect(skip),
inference(cnf_transformation,[],[f35]) ).
fof(f105,plain,
! [X0,X1] : typeCorrect(assign(high(X1),X0)),
inference(cnf_transformation,[],[f36]) ).
fof(f106,plain,
! [X0,X1] :
( secret(X0)
| typeCorrect(assign(low(X1),X0)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f110,plain,
! [X0,X1] :
( ~ typeCorrect(X1)
| ~ typeCorrect(X0)
| typeCorrect(seq(X0,X1)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f113,plain,
! [X2,X0,X1] :
( ~ typeCorrect(X2)
| ~ typeCorrect(X1)
| typeCorrect(ifThenElse(X0,X1,X2)) ),
inference(cnf_transformation,[],[f39]) ).
fof(f114,plain,
l = low(zero),
inference(cnf_transformation,[],[f40]) ).
fof(f115,plain,
h = high(zero),
inference(cnf_transformation,[],[f41]) ).
fof(f116,plain,
! [X0] : ~ elem(X0,nil),
inference(cnf_transformation,[],[f42]) ).
fof(f117,plain,
! [X2,X0,X1] :
( elem(X0,X2)
| X0 = X1
| ~ elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f119,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f43]) ).
fof(f123,plain,
! [X0] : eval(X0,tT),
inference(cnf_transformation,[],[f45]) ).
fof(f125,plain,
! [X0,X1] :
( ~ elem(X1,X0)
| eval(X0,var(X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f126,plain,
! [X0,X1] :
( elem(X1,X0)
| ~ eval(X0,var(X1)) ),
inference(cnf_transformation,[],[f47]) ).
fof(f130,plain,
! [X0] : run(X0,skip) = X0,
inference(cnf_transformation,[],[f51]) ).
fof(f131,plain,
! [X2,X0,X1] :
( ~ eval(X0,X2)
| run(X0,assign(X1,X2)) = cons(X1,X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f133,plain,
! [X2,X0,X1] : run(X0,seq(X1,X2)) = run(run(X0,X1),X2),
inference(cnf_transformation,[],[f54]) ).
fof(f134,plain,
! [X2,X3,X0,X1] :
( ~ eval(X0,X1)
| run(X0,ifThenElse(X1,X2,X3)) = run(X0,X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f135,plain,
! [X2,X3,X0,X1] :
( eval(X0,X1)
| run(X0,ifThenElse(X1,X2,X3)) = run(X0,X3) ),
inference(cnf_transformation,[],[f66]) ).
fof(f136,plain,
! [X0,X1] :
( ~ typeCorrect(X0)
| ~ elem(l,run(cons(h,X1),X0))
| elem(l,run(X1,X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f137,plain,
! [X0,X1] :
( ~ typeCorrect(X0)
| elem(l,run(cons(h,X1),X0))
| ~ elem(l,run(X1,X0)) ),
inference(cnf_transformation,[],[f67]) ).
fof(f138,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f119]) ).
fof(f140,plain,
! [X0] :
( secret(X0)
| var(proj1Var(X0)) = X0
| nand(proj1Nand(X0),proj2Nand(X0)) = X0 ),
inference(consistent_polarity_flipping,[],[f98]) ).
fof(f146,plain,
~ typeCorrect(skip),
inference(consistent_polarity_flipping,[],[f104]) ).
fof(f147,plain,
! [X0,X1] : ~ typeCorrect(assign(high(X1),X0)),
inference(consistent_polarity_flipping,[],[f105]) ).
fof(f149,plain,
! [X0,X1] :
( ~ typeCorrect(assign(low(X1),X0))
| ~ secret(X0) ),
inference(consistent_polarity_flipping,[],[f106]) ).
fof(f150,plain,
! [X0,X1] :
( ~ typeCorrect(seq(X0,X1))
| typeCorrect(X0)
| typeCorrect(X1) ),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ~ typeCorrect(ifThenElse(X0,X1,X2))
| typeCorrect(X1)
| typeCorrect(X2) ),
inference(consistent_polarity_flipping,[],[f113]) ).
fof(f156,plain,
! [X0] : elem(X0,nil),
inference(consistent_polarity_flipping,[],[f116]) ).
fof(f157,plain,
! [X2,X1] : ~ elem(X1,cons(X1,X2)),
inference(consistent_polarity_flipping,[],[f138]) ).
fof(f159,plain,
! [X2,X0,X1] :
( elem(X0,cons(X1,X2))
| X0 = X1
| ~ elem(X0,X2) ),
inference(consistent_polarity_flipping,[],[f117]) ).
fof(f160,plain,
! [X0,X1] :
( ~ eval(X0,var(X1))
| ~ elem(X1,X0) ),
inference(consistent_polarity_flipping,[],[f126]) ).
fof(f161,plain,
! [X0,X1] :
( eval(X0,var(X1))
| elem(X1,X0) ),
inference(consistent_polarity_flipping,[],[f125]) ).
fof(f162,plain,
! [X0,X1] :
( ~ elem(l,run(cons(h,X1),X0))
| typeCorrect(X0)
| elem(l,run(X1,X0)) ),
inference(consistent_polarity_flipping,[],[f137]) ).
fof(f163,plain,
! [X0,X1] :
( elem(l,run(cons(h,X1),X0))
| typeCorrect(X0)
| ~ elem(l,run(X1,X0)) ),
inference(consistent_polarity_flipping,[],[f136]) ).
fof(f170,plain,
! [X0] : low(X0) != h,
inference(superposition,[],[f75,f115]) ).
fof(f171,plain,
! [X0] :
( elem(l,cons(h,X0))
| typeCorrect(skip)
| ~ elem(l,run(X0,skip)) ),
inference(superposition,[],[f163,f130]) ).
fof(f174,plain,
! [X0] :
( elem(l,cons(h,X0))
| ~ elem(l,run(X0,skip)) ),
inference(forward_subsumption_resolution,[],[f171,f146]) ).
fof(f176,plain,
! [X0] :
( elem(l,cons(h,X0))
| ~ elem(l,X0) ),
inference(forward_demodulation,[],[f174,f130]) ).
fof(f177,plain,
! [X0] : ~ typeCorrect(assign(h,X0)),
inference(superposition,[],[f147,f115]) ).
fof(f179,plain,
l != h,
inference(superposition,[],[f170,f114]) ).
fof(f182,plain,
! [X0] :
( ~ typeCorrect(assign(l,X0))
| ~ secret(X0) ),
inference(superposition,[],[f149,f114]) ).
fof(f194,plain,
! [X0,X1] : run(X0,X1) = run(X0,seq(skip,X1)),
inference(superposition,[],[f133,f130]) ).
fof(f203,plain,
! [X0,X1] : cons(X1,X0) = run(X0,assign(X1,tT)),
inference(resolution,[],[f131,f123]) ).
fof(f204,plain,
! [X2,X0,X1] :
( elem(X2,X0)
| cons(X1,X0) = run(X0,assign(X1,var(X2))) ),
inference(resolution,[],[f131,f161]) ).
fof(f209,plain,
! [X0,X1] :
( ~ elem(l,run(cons(h,X0),X1))
| typeCorrect(seq(skip,X1))
| elem(l,run(X0,seq(skip,X1))) ),
inference(superposition,[],[f162,f194]) ).
fof(f214,plain,
! [X0,X1] :
( ~ elem(l,run(cons(h,X0),X1))
| elem(l,run(X0,X1))
| typeCorrect(seq(skip,X1)) ),
inference(forward_demodulation,[],[f209,f194]) ).
fof(f236,plain,
! [X2,X3,X0,X1] :
( elem(X1,X0)
| run(X0,X2) = run(X0,ifThenElse(var(X1),X2,X3)) ),
inference(resolution,[],[f134,f161]) ).
fof(f241,plain,
! [X2,X3,X0,X1] :
( ~ elem(X1,X0)
| run(X0,X3) = run(X0,ifThenElse(var(X1),X2,X3)) ),
inference(resolution,[],[f135,f160]) ).
fof(f290,plain,
! [X0,X1] :
( elem(l,cons(X0,cons(h,X1)))
| typeCorrect(assign(X0,tT))
| ~ elem(l,run(X1,assign(X0,tT))) ),
inference(superposition,[],[f163,f203]) ).
fof(f295,plain,
! [X0,X1] :
( ~ elem(l,cons(X0,X1))
| elem(l,cons(X0,cons(h,X1)))
| typeCorrect(assign(X0,tT)) ),
inference(forward_demodulation,[],[f290,f203]) ).
fof(f395,plain,
! [X2,X0,X1] : cons(X0,cons(X1,X2)) = run(cons(X1,X2),assign(X0,var(X1))),
inference(resolution,[],[f204,f157]) ).
fof(f401,plain,
! [X0] :
( elem(l,cons(h,cons(h,X0)))
| typeCorrect(assign(h,tT))
| ~ elem(l,X0) ),
inference(resolution,[],[f295,f176]) ).
fof(f404,plain,
! [X0] :
( elem(l,cons(h,cons(h,X0)))
| ~ elem(l,X0) ),
inference(forward_subsumption_resolution,[],[f401,f177]) ).
fof(f435,plain,
! [X2,X3,X0,X1] : run(cons(X0,X1),X2) = run(cons(X0,X1),ifThenElse(var(X0),X2,X3)),
inference(resolution,[],[f236,f157]) ).
fof(f451,plain,
! [X2,X0,X1] : run(nil,X0) = run(nil,ifThenElse(var(X1),X2,X0)),
inference(resolution,[],[f241,f156]) ).
fof(f3122,plain,
! [X0,X1] :
( ~ elem(l,cons(X0,cons(h,X1)))
| typeCorrect(assign(X0,var(h)))
| elem(l,run(X1,assign(X0,var(h)))) ),
inference(superposition,[],[f162,f395]) ).
fof(f3294,plain,
! [X2,X0,X1] :
( ~ elem(l,run(cons(h,X0),X1))
| elem(l,run(X0,ifThenElse(var(h),X1,X2)))
| typeCorrect(seq(skip,ifThenElse(var(h),X1,X2))) ),
inference(superposition,[],[f214,f435]) ).
fof(f15565,plain,
! [X0] :
( typeCorrect(assign(h,var(h)))
| elem(l,run(X0,assign(h,var(h))))
| ~ elem(l,X0) ),
inference(resolution,[],[f3122,f404]) ).
fof(f15593,plain,
! [X0] :
( ~ elem(l,X0)
| elem(l,run(X0,assign(h,var(h)))) ),
inference(forward_subsumption_resolution,[],[f15565,f177]) ).
fof(f15705,plain,
! [X0,X1] :
( ~ elem(l,X1)
| l = X0
| elem(l,run(cons(X0,X1),assign(h,var(h)))) ),
inference(resolution,[],[f15593,f159]) ).
fof(f24292,plain,
! [X0] :
( elem(l,run(cons(X0,nil),assign(h,var(h))))
| l = X0 ),
inference(resolution,[],[f15705,f156]) ).
fof(f30245,plain,
! [X0] :
( elem(l,run(nil,ifThenElse(var(h),assign(h,var(h)),X0)))
| typeCorrect(seq(skip,ifThenElse(var(h),assign(h,var(h)),X0)))
| l = h ),
inference(resolution,[],[f3294,f24292]) ).
fof(f30366,plain,
! [X0] :
( elem(l,run(nil,ifThenElse(var(h),assign(h,var(h)),X0)))
| typeCorrect(seq(skip,ifThenElse(var(h),assign(h,var(h)),X0))) ),
inference(forward_subsumption_resolution,[],[f30245,f179]) ).
fof(f30372,plain,
! [X0] :
( typeCorrect(seq(skip,ifThenElse(var(h),assign(h,var(h)),X0)))
| elem(l,run(nil,X0)) ),
inference(forward_demodulation,[],[f30366,f451]) ).
fof(f30516,plain,
! [X0] :
( elem(l,run(nil,X0))
| typeCorrect(skip)
| typeCorrect(ifThenElse(var(h),assign(h,var(h)),X0)) ),
inference(resolution,[],[f30372,f150]) ).
fof(f30517,plain,
! [X0] :
( typeCorrect(ifThenElse(var(h),assign(h,var(h)),X0))
| elem(l,run(nil,X0)) ),
inference(forward_subsumption_resolution,[],[f30516,f146]) ).
fof(f30518,plain,
! [X0] :
( elem(l,run(nil,X0))
| typeCorrect(assign(h,var(h)))
| typeCorrect(X0) ),
inference(resolution,[],[f30517,f153]) ).
fof(f30519,plain,
! [X0] :
( elem(l,run(nil,X0))
| typeCorrect(X0) ),
inference(forward_subsumption_resolution,[],[f30518,f177]) ).
fof(f30624,plain,
! [X0] :
( elem(l,cons(X0,nil))
| typeCorrect(assign(X0,tT)) ),
inference(superposition,[],[f30519,f203]) ).
fof(f30906,plain,
typeCorrect(assign(l,tT)),
inference(resolution,[],[f30624,f157]) ).
fof(f30922,plain,
~ secret(tT),
inference(resolution,[],[f30906,f182]) ).
fof(f30923,plain,
( tT = var(proj1Var(tT))
| tT = nand(proj1Nand(tT),proj2Nand(tT)) ),
inference(resolution,[],[f30922,f140]) ).
fof(f30924,plain,
tT = nand(proj1Nand(tT),proj2Nand(tT)),
inference(forward_subsumption_resolution,[],[f30923,f83]) ).
fof(f30925,plain,
$false,
inference(forward_subsumption_resolution,[],[f30924,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWX240_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.28 % Computer : n019.cluster.edu
% 0.22/0.28 % Model : x86_64 x86_64
% 0.22/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.28 % Memory : 8046.5625MB
% 0.22/0.28 % OS : Linux 6.8.0-71-generic
% 0.22/0.28 % CPULimit : 300
% 0.22/0.28 % WCLimit : 300
% 0.22/0.28 % DateTime : Mon Sep 28 15:18:03 UTC 2026
% 0.22/0.29 % CPUTime :
% 0.22/0.29 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.22/0.33 Running first-order model finding
% 0.22/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.29/2.28 % (4081682)Will run a generic schedule for satisfiability detection.
% 13.29/2.28 % (4081689)% WARNING: option uhcvi not known.
% 13.29/2.28 % (4081688)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2563909324_2999 on theBenchmark for (2999ds/0Mi)
% 13.29/2.28 % (4081689)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=400669913:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 13.29/2.28 % (4081692)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4136674503:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 13.29/2.28 % (4081693)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=346784644:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 13.29/2.28 % (4081691)dis+10_1_sil=32000:sp=arity:random_seed=4209579949:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 13.29/2.28 % (4081690)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1850386713:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 13.29/2.28 % TRYING [1]
% 13.29/2.28 % TRYING [2]
% 13.29/2.28 % (4081694)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2187427814:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 13.29/2.28 % TRYING [3]
% 13.29/2.28 % TRYING [4]
% 13.29/2.28 % TRYING [5]
% 13.29/2.28 % TRYING [6]
% 13.29/2.28 % (4081691)Instruction limit reached!
% 13.29/2.28 % (4081691)------------------------------
% 13.29/2.28 % (4081691)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081691)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081691)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081691)Termination reason: Instruction limit
% 13.29/2.28 % (4081691)Termination phase: Saturation
% 13.29/2.28 % (4081691)Time elapsed: 0.100 s
% 13.29/2.28 % (4081691)Peak memory usage: 12 MB
% 13.29/2.28 % (4081691)Instructions burned: 104 (million)
% 13.29/2.28 % (4081692)Instruction limit reached!
% 13.29/2.28 % (4081692)------------------------------
% 13.29/2.28 % (4081692)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081692)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081692)Termination reason: Instruction limit
% 13.29/2.28 % (4081692)Termination phase: Saturation
% 13.29/2.28 % (4081692)Time elapsed: 0.112 s
% 13.29/2.28 % (4081692)Peak memory usage: 13 MB
% 13.29/2.28 % (4081692)Instructions burned: 116 (million)
% 13.29/2.28 % (4081702)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=83400590:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 13.29/2.28 % TRYING [1]
% 13.29/2.28 % TRYING [2]
% 13.29/2.28 % (4081693)Instruction limit reached!
% 13.29/2.28 % (4081693)------------------------------
% 13.29/2.28 % (4081693)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081693)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081693)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081693)Termination reason: Instruction limit
% 13.29/2.28 % (4081693)Termination phase: Saturation
% 13.29/2.28 % (4081693)Time elapsed: 0.130 s
% 13.29/2.28 % (4081693)Peak memory usage: 13 MB
% 13.29/2.28 % (4081693)Instructions burned: 132 (million)
% 13.29/2.28 % TRYING [3]
% 13.29/2.28 % TRYING [4]
% 13.29/2.28 % (4081703)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3181889049:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 13.29/2.28 % (4081694)Instruction limit reached!
% 13.29/2.28 % (4081694)------------------------------
% 13.29/2.28 % (4081694)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081694)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081694)Termination reason: Instruction limit
% 13.29/2.28 % (4081694)Termination phase: Saturation
% 13.29/2.28 % (4081694)Time elapsed: 0.145 s
% 13.29/2.28 % (4081694)Peak memory usage: 13 MB
% 13.29/2.28 % (4081694)Instructions burned: 160 (million)
% 13.29/2.28 % (4081705)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=1775259142:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 13.29/2.28 % TRYING [5]
% 13.29/2.28 % TRYING [7]
% 13.29/2.28 % (4081707)ott-21_1_sil=16000:fs=off:random_seed=2456704336:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 13.29/2.28 % (4081703)Instruction limit reached!
% 13.29/2.28 % (4081703)------------------------------
% 13.29/2.28 % (4081703)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081703)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081703)Termination reason: Instruction limit
% 13.29/2.28 % (4081703)Termination phase: Saturation
% 13.29/2.28 % (4081703)Time elapsed: 0.131 s
% 13.29/2.28 % (4081703)Peak memory usage: 13 MB
% 13.29/2.28 % (4081703)Instructions burned: 131 (million)
% 13.29/2.28 % TRYING [6]
% 13.29/2.28 % (4081710)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2653505030:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 13.29/2.28 % TRYING [8]
% 13.29/2.28 % (4081707)Instruction limit reached!
% 13.29/2.28 % (4081707)------------------------------
% 13.29/2.28 % (4081707)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081707)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081707)Termination reason: Instruction limit
% 13.29/2.28 % (4081707)Termination phase: Saturation
% 13.29/2.28 % (4081707)Time elapsed: 0.170 s
% 13.29/2.28 % (4081707)Peak memory usage: 12 MB
% 13.29/2.28 % (4081707)Instructions burned: 181 (million)
% 13.29/2.28 % (4081712)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2271973271:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 13.29/2.28 % TRYING [1]
% 13.29/2.28 % TRYING [2]
% 13.29/2.28 % TRYING [3]
% 13.29/2.28 % TRYING [4]
% 13.29/2.28 % TRYING [5]
% 13.29/2.28 % TRYING [6]
% 13.29/2.28 % TRYING [7]
% 13.29/2.28 % (4081702)Instruction limit reached!
% 13.29/2.28 % (4081702)------------------------------
% 13.29/2.28 % (4081702)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081702)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081702)Termination reason: Instruction limit
% 13.29/2.28 % (4081702)Termination phase: Finite model building constraint generation
% 13.29/2.28 % (4081702)Time elapsed: 0.515 s
% 13.29/2.28 % (4081702)Peak memory usage: 28 MB
% 13.29/2.28 % (4081702)Instructions burned: 715 (million)
% 13.29/2.28 % TRYING [9]
% 13.29/2.28 % (4081714)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=515410985:i=1179_2993 on theBenchmark for (2993ds/1179Mi)
% 13.29/2.28 % (4081705)Instruction limit reached!
% 13.29/2.28 % (4081705)------------------------------
% 13.29/2.28 % (4081705)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081705)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081705)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081705)Termination reason: Instruction limit
% 13.29/2.28 % (4081705)Termination phase: Saturation
% 13.29/2.28 % (4081705)Time elapsed: 0.559 s
% 13.29/2.28 % (4081705)Peak memory usage: 15 MB
% 13.29/2.28 % (4081705)Instructions burned: 684 (million)
% 13.29/2.28 % (4081716)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1760780296:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 13.29/2.28 % (4081710)Instruction limit reached!
% 13.29/2.28 % (4081710)------------------------------
% 13.29/2.28 % (4081710)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081710)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081710)Termination reason: Instruction limit
% 13.29/2.28 % (4081710)Termination phase: Saturation
% 13.29/2.28 % (4081710)Time elapsed: 0.473 s
% 13.29/2.28 % (4081710)Peak memory usage: 13 MB
% 13.29/2.28 % (4081710)Instructions burned: 478 (million)
% 13.29/2.28 % (4081718)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=642465637:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2991 on theBenchmark for (2991ds/692Mi)
% 13.29/2.28 % TRYING [7]
% 13.29/2.28 % TRYING [14]
% 13.29/2.28 % (4081712)Instruction limit reached!
% 13.29/2.28 % (4081712)------------------------------
% 13.29/2.28 % (4081712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081712)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081712)Termination reason: Instruction limit
% 13.29/2.28 % (4081712)Termination phase: Finite model building constraint generation
% 13.29/2.28 % (4081712)Time elapsed: 0.611 s
% 13.29/2.28 % (4081712)Peak memory usage: 24 MB
% 13.29/2.28 % (4081712)Instructions burned: 865 (million)
% 13.29/2.28 % (4081720)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3715837171:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 13.29/2.28 % TRYING [10]
% 13.29/2.28 % (4081718)Instruction limit reached!
% 13.29/2.28 % (4081718)------------------------------
% 13.29/2.28 % (4081718)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081718)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081718)Termination reason: Instruction limit
% 13.29/2.28 % (4081718)Termination phase: Saturation
% 13.29/2.28 % (4081718)Time elapsed: 0.562 s
% 13.29/2.28 % (4081718)Peak memory usage: 17 MB
% 13.29/2.28 % (4081718)Instructions burned: 692 (million)
% 13.29/2.28 % (4081724)fmb+10_1_sil=64000:random_seed=1801267366:i=22061:nm=2:gsp=on_2986 on theBenchmark for (2986ds/22061Mi)
% 13.29/2.28 % TRYING [1]
% 13.29/2.28 % TRYING [2]
% 13.29/2.28 % TRYING [3]
% 13.29/2.28 % TRYING [4]
% 13.29/2.28 % (4081716)Instruction limit reached!
% 13.29/2.28 % (4081716)------------------------------
% 13.29/2.28 % (4081716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081716)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081716)Termination reason: Instruction limit
% 13.29/2.28 % (4081716)Termination phase: Finite model building constraint generation
% 13.29/2.28 % (4081716)Time elapsed: 0.678 s
% 13.29/2.28 % (4081716)Peak memory usage: 77 MB
% 13.29/2.28 % (4081716)Instructions burned: 890 (million)
% 13.29/2.28 % TRYING [5]
% 13.29/2.28 % (4081726)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4241247729:i=9515:nm=5_2985 on theBenchmark for (2985ds/9515Mi)
% 13.29/2.28 % TRYING [20]
% 13.29/2.28 % TRYING [6]
% 13.29/2.28 % (4081714)Instruction limit reached!
% 13.29/2.28 % (4081714)------------------------------
% 13.29/2.28 % (4081714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.28 % (4081714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.28 % (4081714)CaDiCaL version: 2.1.3
% 13.29/2.28 % (4081714)Termination reason: Instruction limit
% 13.29/2.28 % (4081714)Termination phase: Saturation
% 13.29/2.28 % (4081714)Time elapsed: 1.083 s
% 13.29/2.28 % (4081714)Peak memory usage: 22 MB
% 13.29/2.28 % (4081714)Instructions burned: 1179 (million)
% 13.29/2.28 % (4081728)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=972544688:fmbsr=1.7:i=920_2981 on theBenchmark for (2981ds/920Mi)
% 13.29/2.28 % TRYING [8]
% 13.29/2.28 % TRYING [7]
% 13.29/2.28 % (4081689) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4081682-4081689"...
% 13.29/2.28 % (4081689)...printing done.
% 13.29/2.28 % (4081689)Refutation found. Thanks to Tanya!
% 13.29/2.28 % SZS status Theorem for theBenchmark
% 13.29/2.28 % SZS output start Proof for theBenchmark
% See solution above
% 13.29/2.29 % (4081689)------------------------------
% 13.29/2.29 % (4081689)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 13.29/2.29 % (4081689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.29/2.29 % (4081689)CaDiCaL version: 2.1.3
% 13.29/2.29 % (4081689)Termination reason: Refutation
% 13.29/2.29 % (4081689)Time elapsed: 1.882 s
% 13.29/2.29 % (4081689)Peak memory usage: 20 MB
% 13.29/2.29 % (4081689)Instructions burned: 2167 (million)
% 13.29/2.29 % (4081682)Success in time 1.938 s
% 13.29/2.29 % Vampire exiting
%------------------------------------------------------------------------------