%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWX241_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 : n003.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 01:46:50 PM UTC 2026
% Result : Theorem 18.04s 2.86s
% Output : Refutation 18.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 25
% Syntax : Number of formulae : 108 ( 41 unt; 4 def)
% Number of atoms : 202 ( 49 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 183 ( 89 ~; 74 |; 1 &)
% ( 12 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-3 aty)
% Number of variables : 152 ( 0 sgn 148 !; 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(f37,axiom,
! [X0] :
( X0 != nand(proj1Nand(X0),proj2Nand(X0))
=> ( X0 != var(proj1Var(X0))
=> ~ secret(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_037) ).
fof(f41,axiom,
typeCorrect(skip),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_041) ).
fof(f42,axiom,
! [X0,X1] : typeCorrect(assign(high(X1),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_042) ).
fof(f43,axiom,
! [X0,X1] :
( typeCorrect(assign(low(X1),X0))
<=> ~ secret(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_043) ).
fof(f45,axiom,
! [X0,X1,X2] :
( typeCorrect(ifThenElse(X0,X1,X2))
<=> ( typeCorrect(X1)
& typeCorrect(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_045) ).
fof(f46,axiom,
! [X0,X1] :
( typeCorrect(while(X0,X1))
<=> typeCorrect(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_046) ).
fof(f47,axiom,
l = low(zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_047) ).
fof(f48,axiom,
h = high(zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_048) ).
fof(f49,axiom,
! [X0] : ~ elem(X0,nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_049) ).
fof(f50,axiom,
! [X0,X1,X2] :
( elem(X0,cons(X1,X2))
<=> ( X1 = X0
| elem(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_050) ).
fof(f52,axiom,
! [X0] : eval(X0,tT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_052) ).
fof(f54,axiom,
! [X0,X1] :
( eval(X0,var(X1))
<=> elem(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_054) ).
fof(f58,axiom,
! [X0] : run(X0,skip) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_058) ).
fof(f59,axiom,
! [X0,X1,X2] :
( eval(X0,X2)
=> run(X0,assign(X1,X2)) = cons(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_059) ).
fof(f62,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_062) ).
fof(f63,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_063) ).
fof(f64,axiom,
! [X0,X1,X2] : run(X0,while(X1,X2)) = run(X0,ifThenElse(X1,seq(X2,while(X1,X2)),skip)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_064) ).
fof(f65,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_065) ).
fof(f66,negated_conjecture,
~ ? [X0,X1] :
~ ( typeCorrect(X0)
=> ( elem(l,run(X1,X0))
<=> elem(l,run(cons(h,X1),X0)) ) ),
inference(negated_conjecture,[status(cth)],[f65]) ).
fof(f67,plain,
! [X0] :
( ~ secret(X0)
| var(proj1Var(X0)) = X0
| nand(proj1Nand(X0),proj2Nand(X0)) = X0 ),
inference(ennf_transformation,[],[f37]) ).
fof(f68,plain,
! [X0] :
( ~ secret(X0)
| var(proj1Var(X0)) = X0
| nand(proj1Nand(X0),proj2Nand(X0)) = X0 ),
inference(flattening,[],[f67]) ).
fof(f71,plain,
! [X0,X1,X2] :
( run(X0,assign(X1,X2)) = cons(X1,X0)
| ~ eval(X0,X2) ),
inference(ennf_transformation,[],[f59]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( run(X0,ifThenElse(X1,X2,X3)) = run(X0,X2)
| ~ eval(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f74,plain,
! [X0,X1,X2,X3] :
( run(X0,ifThenElse(X1,X2,X3)) = run(X0,X3)
| eval(X0,X1) ),
inference(ennf_transformation,[],[f63]) ).
fof(f75,plain,
! [X0,X1] :
( ( elem(l,run(X1,X0))
<=> elem(l,run(cons(h,X1),X0)) )
| ~ typeCorrect(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f83,plain,
! [X0,X1] : high(X0) != low(X1),
inference(cnf_transformation,[],[f8]) ).
fof(f87,plain,
! [X0,X1] : nand(X0,X1) != tT,
inference(cnf_transformation,[],[f12]) ).
fof(f91,plain,
! [X0] : var(X0) != tT,
inference(cnf_transformation,[],[f16]) ).
fof(f112,plain,
! [X0] :
( ~ secret(X0)
| var(proj1Var(X0)) = X0
| nand(proj1Nand(X0),proj2Nand(X0)) = X0 ),
inference(cnf_transformation,[],[f68]) ).
fof(f118,plain,
typeCorrect(skip),
inference(cnf_transformation,[],[f41]) ).
fof(f119,plain,
! [X0,X1] : typeCorrect(assign(high(X1),X0)),
inference(cnf_transformation,[],[f42]) ).
fof(f120,plain,
! [X0,X1] :
( typeCorrect(assign(low(X1),X0))
| secret(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f127,plain,
! [X2,X0,X1] :
( typeCorrect(ifThenElse(X0,X1,X2))
| ~ typeCorrect(X1)
| ~ typeCorrect(X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f128,plain,
! [X0,X1] :
( typeCorrect(while(X0,X1))
| ~ typeCorrect(X1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f130,plain,
l = low(zero),
inference(cnf_transformation,[],[f47]) ).
fof(f131,plain,
h = high(zero),
inference(cnf_transformation,[],[f48]) ).
fof(f132,plain,
! [X0] : ~ elem(X0,nil),
inference(cnf_transformation,[],[f49]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ elem(X0,cons(X1,X2))
| X0 = X1
| elem(X0,X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f135,plain,
! [X2,X0,X1] :
( X0 != X1
| elem(X0,cons(X1,X2)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f139,plain,
! [X0] : eval(X0,tT),
inference(cnf_transformation,[],[f52]) ).
fof(f141,plain,
! [X0,X1] :
( eval(X0,var(X1))
| ~ elem(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f142,plain,
! [X0,X1] :
( ~ eval(X0,var(X1))
| elem(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f146,plain,
! [X0] : run(X0,skip) = X0,
inference(cnf_transformation,[],[f58]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ eval(X0,X2)
| run(X0,assign(X1,X2)) = cons(X1,X0) ),
inference(cnf_transformation,[],[f71]) ).
fof(f150,plain,
! [X2,X3,X0,X1] :
( ~ eval(X0,X1)
| run(X0,ifThenElse(X1,X2,X3)) = run(X0,X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f151,plain,
! [X2,X3,X0,X1] :
( eval(X0,X1)
| run(X0,ifThenElse(X1,X2,X3)) = run(X0,X3) ),
inference(cnf_transformation,[],[f74]) ).
fof(f152,plain,
! [X2,X0,X1] : run(X0,while(X1,X2)) = run(X0,ifThenElse(X1,seq(X2,while(X1,X2)),skip)),
inference(cnf_transformation,[],[f64]) ).
fof(f153,plain,
! [X0,X1] :
( ~ elem(l,run(cons(h,X1),X0))
| ~ typeCorrect(X0)
| elem(l,run(X1,X0)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f154,plain,
! [X0,X1] :
( elem(l,run(cons(h,X1),X0))
| ~ typeCorrect(X0)
| ~ elem(l,run(X1,X0)) ),
inference(cnf_transformation,[],[f75]) ).
fof(f155,plain,
! [X2,X1] : elem(X1,cons(X1,X2)),
inference(equality_resolution,[],[f135]) ).
fof(f163,plain,
! [X0] : low(X0) != h,
inference(superposition,[],[f83,f131]) ).
fof(f164,plain,
l != h,
inference(superposition,[],[f163,f130]) ).
fof(f167,plain,
! [X0] :
( ~ elem(l,cons(h,X0))
| ~ typeCorrect(skip)
| elem(l,run(X0,skip)) ),
inference(superposition,[],[f153,f146]) ).
fof(f168,plain,
! [X0] :
( ~ elem(l,cons(h,X0))
| elem(l,run(X0,skip)) ),
inference(forward_subsumption_resolution,[],[f167,f118]) ).
fof(f170,plain,
! [X0] :
( ~ elem(l,cons(h,X0))
| elem(l,X0) ),
inference(forward_demodulation,[],[f168,f146]) ).
fof(f174,plain,
! [X0] :
( typeCorrect(assign(l,X0))
| secret(X0) ),
inference(superposition,[],[f120,f130]) ).
fof(f197,plain,
! [X0,X1] : cons(X1,X0) = run(X0,assign(X1,tT)),
inference(resolution,[],[f147,f139]) ).
fof(f223,plain,
! [X2,X3,X0,X1] :
( ~ elem(X1,X0)
| run(X0,X2) = run(X0,ifThenElse(var(X1),X2,X3)) ),
inference(resolution,[],[f150,f141]) ).
fof(f235,plain,
! [X2,X3,X0,X1] :
( elem(X1,X0)
| run(X0,X3) = run(X0,ifThenElse(var(X1),X2,X3)) ),
inference(resolution,[],[f151,f142]) ).
fof(f611,plain,
! [X2,X3,X0,X1] : run(cons(X0,X1),X2) = run(cons(X0,X1),ifThenElse(var(X0),X2,X3)),
inference(resolution,[],[f223,f155]) ).
fof(f643,plain,
! [X2,X0,X1] :
( elem(l,X0)
| run(cons(h,X0),X1) = run(cons(h,X0),ifThenElse(var(l),X2,X1)) ),
inference(resolution,[],[f235,f170]) ).
fof(f649,plain,
! [X2,X0,X1] : run(nil,X0) = run(nil,ifThenElse(var(X1),X2,X0)),
inference(resolution,[],[f235,f132]) ).
fof(f1311,plain,
! [X0,X1] : run(cons(h,nil),X0) = run(cons(h,nil),ifThenElse(var(l),X1,X0)),
inference(resolution,[],[f643,f132]) ).
fof(f1399,plain,
! [X0] : run(cons(h,nil),while(var(l),X0)) = run(cons(h,nil),skip),
inference(superposition,[],[f152,f1311]) ).
fof(f1407,plain,
! [X0] : cons(h,nil) = run(cons(h,nil),while(var(l),X0)),
inference(forward_demodulation,[],[f1399,f146]) ).
fof(f2798,definition,
( spl0_2
<=> elem(l,cons(h,nil)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f2799,plain,
( elem(l,cons(h,nil))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f2798]) ).
fof(f2800,plain,
( ~ elem(l,cons(h,nil))
| spl0_2 ),
inference(avatar_component_clause,[],[f2798]) ).
fof(f3981,definition,
( spl0_3
<=> ! [X1] : ~ typeCorrect(X1) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f3982,plain,
( ! [X1] : ~ typeCorrect(X1)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f3981]) ).
fof(f3987,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f3982,f119]) ).
fof(f3997,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f3987]) ).
fof(f5767,plain,
! [X2,X0,X1] :
( elem(l,run(cons(h,X0),X1))
| ~ typeCorrect(ifThenElse(var(h),X1,X2))
| ~ elem(l,run(X0,ifThenElse(var(h),X1,X2))) ),
inference(superposition,[],[f154,f611]) ).
fof(f29107,plain,
( l = h
| elem(l,nil)
| ~ spl0_2 ),
inference(resolution,[],[f2799,f133]) ).
fof(f29116,plain,
( elem(l,nil)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f29107,f164]) ).
fof(f29120,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f29116,f132]) ).
fof(f29121,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f29120]) ).
fof(f35109,plain,
! [X0,X1] :
( elem(l,cons(h,nil))
| ~ typeCorrect(ifThenElse(var(h),while(var(l),X0),X1))
| ~ elem(l,run(nil,ifThenElse(var(h),while(var(l),X0),X1))) ),
inference(superposition,[],[f5767,f1407]) ).
fof(f35213,plain,
( ! [X0,X1] :
( ~ typeCorrect(ifThenElse(var(h),while(var(l),X0),X1))
| ~ elem(l,run(nil,ifThenElse(var(h),while(var(l),X0),X1))) )
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f35109,f2800]) ).
fof(f35235,plain,
( ! [X0,X1] :
( ~ typeCorrect(ifThenElse(var(h),while(var(l),X0),X1))
| ~ elem(l,run(nil,X1)) )
| spl0_2 ),
inference(forward_demodulation,[],[f35213,f649]) ).
fof(f39719,plain,
( ! [X0,X1] :
( ~ elem(l,run(nil,X0))
| ~ typeCorrect(while(var(l),X1))
| ~ typeCorrect(X0) )
| spl0_2 ),
inference(resolution,[],[f35235,f127]) ).
fof(f39925,definition,
( spl0_17
<=> ! [X1] : ~ typeCorrect(while(var(l),X1)) ),
introduced(definition,[new_symbols(definition,[spl0_17])],[avatar_definition]) ).
fof(f39926,plain,
( ! [X1] : ~ typeCorrect(while(var(l),X1))
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f39925]) ).
fof(f39928,definition,
( spl0_18
<=> ! [X0] :
( ~ elem(l,run(nil,X0))
| ~ typeCorrect(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f39929,plain,
( ! [X0] :
( ~ elem(l,run(nil,X0))
| ~ typeCorrect(X0) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f39928]) ).
fof(f39930,plain,
( spl0_17
| spl0_18
| spl0_2 ),
inference(avatar_split_clause,[],[f39719,f2798,f39928,f39925]) ).
fof(f40217,plain,
( ! [X0] :
( ~ elem(l,cons(X0,nil))
| ~ typeCorrect(assign(X0,tT)) )
| ~ spl0_18 ),
inference(superposition,[],[f39929,f197]) ).
fof(f40539,plain,
( ~ typeCorrect(assign(l,tT))
| ~ spl0_18 ),
inference(resolution,[],[f40217,f155]) ).
fof(f40710,plain,
( secret(tT)
| ~ spl0_18 ),
inference(resolution,[],[f40539,f174]) ).
fof(f40917,plain,
( tT = var(proj1Var(tT))
| tT = nand(proj1Nand(tT),proj2Nand(tT))
| ~ spl0_18 ),
inference(resolution,[],[f40710,f112]) ).
fof(f40918,plain,
( tT = nand(proj1Nand(tT),proj2Nand(tT))
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f40917,f91]) ).
fof(f40919,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f40918,f87]) ).
fof(f40920,plain,
~ spl0_18,
inference(avatar_contradiction_clause,[],[f40919]) ).
fof(f41130,plain,
( ! [X0] : ~ typeCorrect(X0)
| ~ spl0_17 ),
inference(resolution,[],[f39926,f128]) ).
fof(f41309,plain,
( spl0_3
| ~ spl0_17 ),
inference(avatar_split_clause,[],[f41130,f39925,f3981]) ).
cnf(s5,plain,
~ spl0_3,
inference(sat_conversion,[],[f3997]) ).
cnf(s20,plain,
~ spl0_2,
inference(sat_conversion,[],[f29121]) ).
cnf(s23,plain,
( spl0_2
| spl0_17
| spl0_18 ),
inference(sat_conversion,[],[f39930]) ).
cnf(s24,plain,
~ spl0_18,
inference(sat_conversion,[],[f40920]) ).
cnf(s25,plain,
( spl0_3
| ~ spl0_17 ),
inference(sat_conversion,[],[f41309]) ).
cnf(s26,plain,
( spl0_2
| spl0_17 ),
inference(rat,[],[s23,s24]) ).
cnf(s27,plain,
spl0_17,
inference(rat,[],[s26,s20]) ).
cnf(s28,plain,
spl0_3,
inference(rat,[],[s25,s27]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s5,s28]) ).
fof(f41310,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX241_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 15:20:12 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 16.10/2.58 % (1691897)Will run a generic schedule for satisfiability detection.
% 16.10/2.58 % (1691902)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1233039923_2999 on theBenchmark for (2999ds/0Mi)
% 16.10/2.58 % TRYING [1]
% 16.10/2.58 % TRYING [2]
% 16.10/2.58 % TRYING [3]
% 16.10/2.58 % (1691903)% WARNING: option uhcvi not known.
% 16.10/2.58 % TRYING [4]
% 16.10/2.58 % (1691903)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2875020098:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 16.10/2.58 % (1691904)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=221920830:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 16.10/2.58 % (1691905)dis+10_1_sil=32000:sp=arity:random_seed=129331243:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 16.10/2.58 % (1691906)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=931916080:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 16.10/2.58 % (1691907)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3388761389:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 16.10/2.58 % (1691908)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1641174428:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 16.10/2.58 % TRYING [5]
% 16.10/2.58 % TRYING [6]
% 16.10/2.58 % (1691905)Instruction limit reached!
% 16.10/2.58 % (1691905)------------------------------
% 16.10/2.58 % (1691905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.10/2.58 % (1691905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/2.58 % (1691905)CaDiCaL version: 2.1.3
% 16.10/2.58 % (1691905)Termination reason: Instruction limit
% 16.10/2.58 % (1691905)Termination phase: Saturation
% 16.10/2.58 % (1691905)Time elapsed: 0.059 s
% 16.10/2.58 % (1691905)Peak memory usage: 12 MB
% 16.10/2.58 % (1691905)Instructions burned: 104 (million)
% 16.10/2.58 % (1691906)Instruction limit reached!
% 16.10/2.58 % (1691906)------------------------------
% 16.10/2.58 % (1691906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.10/2.58 % (1691906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/2.58 % (1691906)CaDiCaL version: 2.1.3
% 16.10/2.58 % (1691906)Termination reason: Instruction limit
% 16.10/2.58 % (1691906)Termination phase: Saturation
% 16.10/2.58 % (1691906)Time elapsed: 0.071 s
% 16.10/2.58 % (1691906)Peak memory usage: 13 MB
% 16.10/2.58 % (1691906)Instructions burned: 117 (million)
% 16.10/2.58 % (1691908)Instruction limit reached!
% 16.10/2.58 % (1691908)------------------------------
% 16.10/2.58 % (1691908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.10/2.58 % (1691908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/2.58 % (1691908)CaDiCaL version: 2.1.3
% 16.10/2.58 % (1691908)Termination reason: Instruction limit
% 16.10/2.58 % (1691908)Termination phase: Saturation
% 16.10/2.58 % (1691908)Time elapsed: 0.077 s
% 16.10/2.58 % (1691908)Peak memory usage: 13 MB
% 16.10/2.58 % (1691908)Instructions burned: 159 (million)
% 16.10/2.58 % (1691907)Instruction limit reached!
% 16.10/2.58 % (1691907)------------------------------
% 16.10/2.58 % (1691907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 16.10/2.58 % (1691907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.10/2.58 % (1691907)CaDiCaL version: 2.1.3
% 16.10/2.58 % (1691907)Termination reason: Instruction limit
% 16.10/2.58 % (1691907)Termination phase: Saturation
% 16.10/2.58 % (1691907)Time elapsed: 0.077 s
% 16.10/2.58 % (1691907)Peak memory usage: 13 MB
% 16.10/2.58 % (1691907)Instructions burned: 132 (million)
% 16.10/2.58 % (1691916)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2131981311:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 16.10/2.58 % TRYING [1]
% 16.10/2.58 % TRYING [2]
% 16.10/2.58 % TRYING [7]
% 16.10/2.58 % (1691917)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2153702711:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 16.10/2.58 % TRYING [3]
% 16.10/2.58 % (1691919)ott-21_1_sil=16000:fs=off:random_seed=1835290088:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 16.10/2.58 % (1691918)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=3034298417:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 16.10/2.58 % TRYING [4]
% 16.10/2.58 % TRYING [5]
% 16.10/2.58 % (1691917)Instruction limit reached!
% 16.10/2.58 % (1691917)------------------------------
% 16.10/2.58 % (1691917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691917)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691917)Termination reason: Instruction limit
% 18.04/2.86 % (1691917)Termination phase: Saturation
% 18.04/2.86 % (1691917)Time elapsed: 0.081 s
% 18.04/2.86 % (1691917)Peak memory usage: 13 MB
% 18.04/2.86 % (1691917)Instructions burned: 135 (million)
% 18.04/2.86 % (1691919)Instruction limit reached!
% 18.04/2.86 % (1691919)------------------------------
% 18.04/2.86 % (1691919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691919)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691919)Termination reason: Instruction limit
% 18.04/2.86 % (1691919)Termination phase: Saturation
% 18.04/2.86 % (1691919)Time elapsed: 0.091 s
% 18.04/2.86 % (1691919)Peak memory usage: 12 MB
% 18.04/2.86 % (1691919)Instructions burned: 180 (million)
% 18.04/2.86 % TRYING [6]
% 18.04/2.86 % TRYING [8]
% 18.04/2.86 % (1691924)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=623780042:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 18.04/2.86 % (1691925)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=869429395:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.04/2.86 % TRYING [1]
% 18.04/2.86 % TRYING [2]
% 18.04/2.86 % TRYING [3]
% 18.04/2.86 % TRYING [4]
% 18.04/2.86 % TRYING [5]
% 18.04/2.86 % TRYING [6]
% 18.04/2.86 % TRYING [9]
% 18.04/2.86 % (1691916)Instruction limit reached!
% 18.04/2.86 % (1691916)------------------------------
% 18.04/2.86 % (1691916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691916)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691916)Termination reason: Instruction limit
% 18.04/2.86 % (1691916)Termination phase: Finite model building constraint generation
% 18.04/2.86 % (1691916)Time elapsed: 0.301 s
% 18.04/2.86 % (1691916)Peak memory usage: 31 MB
% 18.04/2.86 % (1691916)Instructions burned: 715 (million)
% 18.04/2.86 % (1691928)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2250877556:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 18.04/2.86 % (1691918)Instruction limit reached!
% 18.04/2.86 % (1691918)------------------------------
% 18.04/2.86 % (1691918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691918)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691918)Termination reason: Instruction limit
% 18.04/2.86 % (1691918)Termination phase: Saturation
% 18.04/2.86 % (1691918)Time elapsed: 0.309 s
% 18.04/2.86 % (1691918)Peak memory usage: 15 MB
% 18.04/2.86 % (1691918)Instructions burned: 684 (million)
% 18.04/2.86 % (1691930)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=4232283263:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 18.04/2.86 % (1691924)Instruction limit reached!
% 18.04/2.86 % (1691924)------------------------------
% 18.04/2.86 % (1691924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691924)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691924)Termination reason: Instruction limit
% 18.04/2.86 % (1691924)Termination phase: Saturation
% 18.04/2.86 % (1691924)Time elapsed: 0.280 s
% 18.04/2.86 % (1691924)Peak memory usage: 13 MB
% 18.04/2.86 % (1691924)Instructions burned: 478 (million)
% 18.04/2.86 % (1691932)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=3490183551:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 18.04/2.86 % TRYING [14]
% 18.04/2.86 % TRYING [7]
% 18.04/2.86 % (1691925)Instruction limit reached!
% 18.04/2.86 % (1691925)------------------------------
% 18.04/2.86 % (1691925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691925)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691925)Termination reason: Instruction limit
% 18.04/2.86 % (1691925)Termination phase: Finite model building constraint generation
% 18.04/2.86 % (1691925)Time elapsed: 0.344 s
% 18.04/2.86 % (1691925)Peak memory usage: 25 MB
% 18.04/2.86 % (1691925)Instructions burned: 868 (million)
% 18.04/2.86 % (1691934)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=750226525:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 18.04/2.86 % TRYING [10]
% 18.04/2.86 % (1691930)Instruction limit reached!
% 18.04/2.86 % (1691930)------------------------------
% 18.04/2.86 % (1691930)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691930)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691930)Termination reason: Instruction limit
% 18.04/2.86 % (1691930)Termination phase: Finite model building constraint generation
% 18.04/2.86 % (1691930)Time elapsed: 0.340 s
% 18.04/2.86 % (1691930)Peak memory usage: 82 MB
% 18.04/2.86 % (1691930)Instructions burned: 891 (million)
% 18.04/2.86 % (1691936)fmb+10_1_sil=64000:random_seed=3133415223:i=22061:nm=2:gsp=on_2991 on theBenchmark for (2991ds/22061Mi)
% 18.04/2.86 % TRYING [1]
% 18.04/2.86 % TRYING [2]
% 18.04/2.86 % TRYING [3]
% 18.04/2.86 % TRYING [4]
% 18.04/2.86 % TRYING [5]
% 18.04/2.86 % (1691932)Instruction limit reached!
% 18.04/2.86 % (1691932)------------------------------
% 18.04/2.86 % (1691932)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691932)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691932)Termination reason: Instruction limit
% 18.04/2.86 % (1691932)Termination phase: Saturation
% 18.04/2.86 % (1691932)Time elapsed: 0.379 s
% 18.04/2.86 % (1691932)Peak memory usage: 16 MB
% 18.04/2.86 % (1691932)Instructions burned: 692 (million)
% 18.04/2.86 % (1691938)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=789765411:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 18.04/2.86 % TRYING [20]
% 18.04/2.86 % TRYING [6]
% 18.04/2.86 % (1691928)Instruction limit reached!
% 18.04/2.86 % (1691928)------------------------------
% 18.04/2.86 % (1691928)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691928)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691928)Termination reason: Instruction limit
% 18.04/2.86 % (1691928)Termination phase: Saturation
% 18.04/2.86 % (1691928)Time elapsed: 0.670 s
% 18.04/2.86 % (1691928)Peak memory usage: 21 MB
% 18.04/2.86 % (1691928)Instructions burned: 1179 (million)
% 18.04/2.86 % (1691934)Instruction limit reached!
% 18.04/2.86 % (1691934)------------------------------
% 18.04/2.86 % (1691934)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691934)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691934)Termination reason: Instruction limit
% 18.04/2.86 % (1691934)Termination phase: Saturation
% 18.04/2.86 % (1691934)Time elapsed: 0.522 s
% 18.04/2.86 % (1691934)Peak memory usage: 18 MB
% 18.04/2.86 % (1691934)Instructions burned: 879 (million)
% 18.04/2.86 % (1691940)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=3770213846:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 18.04/2.86 % TRYING [8]
% 18.04/2.86 % TRYING [7]
% 18.04/2.86 % (1691942)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=4007692816:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 18.04/2.86 % TRYING [11]
% 18.04/2.86 % TRYING [8]
% 18.04/2.86 % (1691940)Instruction limit reached!
% 18.04/2.86 % (1691940)------------------------------
% 18.04/2.86 % (1691940)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691940)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691940)Termination reason: Instruction limit
% 18.04/2.86 % (1691940)Termination phase: Finite model building constraint generation
% 18.04/2.86 % (1691940)Time elapsed: 0.362 s
% 18.04/2.86 % (1691940)Peak memory usage: 64 MB
% 18.04/2.86 % (1691940)Instructions burned: 921 (million)
% 18.04/2.86 % (1691944)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1835883028:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 18.04/2.86 % TRYING [12]
% 18.04/2.86 % TRYING [9]
% 18.04/2.86 % (1691944)Instruction limit reached!
% 18.04/2.86 % (1691944)------------------------------
% 18.04/2.86 % (1691944)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691944)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691944)Termination reason: Instruction limit
% 18.04/2.86 % (1691944)Termination phase: Saturation
% 18.04/2.86 % (1691944)Time elapsed: 0.836 s
% 18.04/2.86 % (1691944)Peak memory usage: 28 MB
% 18.04/2.86 % (1691944)Instructions burned: 1472 (million)
% 18.04/2.86 % (1691946)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=832967723:i=6324_2976 on theBenchmark for (2976ds/6324Mi)
% 18.04/2.86 % TRYING [77]
% 18.04/2.86 % (1691942) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1691897-1691942"...
% 18.04/2.86 % (1691942)...printing done.
% 18.04/2.86 % (1691942)Refutation found. Thanks to Tanya!
% 18.04/2.86 % SZS status Theorem for theBenchmark
% 18.04/2.86 % SZS output start Proof for theBenchmark
% See solution above
% 18.04/2.86 % (1691942)------------------------------
% 18.04/2.86 % (1691942)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.04/2.86 % (1691942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.04/2.86 % (1691942)CaDiCaL version: 2.1.3
% 18.04/2.86 % (1691942)Termination reason: Refutation
% 18.04/2.86 % (1691942)Time elapsed: 1.426 s
% 18.04/2.86 % (1691942)Peak memory usage: 23 MB
% 18.04/2.86 % (1691942)Instructions burned: 2761 (million)
% 18.04/2.86 % (1691897)Success in time 2.632 s
% 18.04/2.86 % Vampire exiting
%------------------------------------------------------------------------------