%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : NUM478+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:24:28 PM UTC 2026
% Result : Theorem 15.27s 2.65s
% Output : Refutation 15.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 9
% Syntax : Number of formulae : 63 ( 21 unt; 1 def)
% Number of atoms : 164 ( 66 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 179 ( 78 ~; 72 |; 19 &)
% ( 1 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 52 ( 0 sgn 51 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X0)
& aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [X1,X2] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X2) )
=> ( ( sdtasdt0(X0,X1) = sdtasdt0(X0,X2)
| sdtasdt0(X1,X0) = sdtasdt0(X2,X0) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(f36,axiom,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1524) ).
fof(f37,axiom,
( xl != sz00
& ? [X0] :
( aNaturalNumber0(X0)
& xm = sdtasdt0(xl,X0) )
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1524_04) ).
fof(f38,axiom,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1553) ).
fof(f39,conjecture,
( ( aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
| sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ ( ( aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
| sdtasdt0(xn,sdtsldt0(xm,xl)) = sdtsldt0(sdtasdt0(xn,xm),xl) ) ),
inference(negated_conjecture,[status(cth)],[f39]) ).
fof(f44,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f45,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f44]) ).
fof(f51,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f52,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f54,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) ),
inference(flattening,[],[f53]) ).
fof(f61,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f62,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f102,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& sdtasdt0(xn,sdtsldt0(xm,xl)) != sdtsldt0(sdtasdt0(xn,xm),xl)
& aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f103,plain,
( sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl)))
& sdtasdt0(xn,sdtsldt0(xm,xl)) != sdtsldt0(sdtasdt0(xn,xm),xl)
& aNaturalNumber0(sdtsldt0(xm,xl))
& xm = sdtasdt0(xl,sdtsldt0(xm,xl)) ),
inference(flattening,[],[f102]) ).
fof(f108,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f113,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f114,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f54]) ).
fof(f124,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| X1 = X2 ),
inference(cnf_transformation,[],[f62]) ).
fof(f161,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f36]) ).
fof(f162,plain,
xm = sdtasdt0(xl,sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f163,plain,
aNaturalNumber0(sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f165,plain,
sz00 != xl,
inference(cnf_transformation,[],[f37]) ).
fof(f166,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f38]) ).
fof(f167,plain,
xm = sdtasdt0(xl,sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f103]) ).
fof(f168,plain,
aNaturalNumber0(sdtsldt0(xm,xl)),
inference(cnf_transformation,[],[f103]) ).
fof(f170,plain,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sdtsldt0(xm,xl))),
inference(cnf_transformation,[],[f103]) ).
fof(f279,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(xl,X0) = sdtasdt0(X0,xl) ),
inference(resolution,[],[f113,f161]) ).
fof(f821,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(sdtasdt0(X1,sdtsldt0(xm,xl)),X0) = sdtasdt0(X1,sdtasdt0(sdtsldt0(xm,xl),X0)) ),
inference(resolution,[],[f114,f168]) ).
fof(f1085,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| sz00 = xl
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| sdtsldt0(xm,xl) = X0 ),
inference(superposition,[],[f124,f167]) ).
fof(f1092,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(sdtsldt0(xm,xl))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| sdtsldt0(xm,xl) = X0 ),
inference(forward_subsumption_resolution,[],[f1085,f165]) ).
fof(f1100,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| sdtsldt0(xm,xl) = X0 ),
inference(forward_subsumption_resolution,[],[f1092,f168]) ).
fof(f1108,plain,
! [X0] :
( xm != sdtasdt0(xl,X0)
| ~ aNaturalNumber0(X0)
| sdtsldt0(xm,xl) = X0 ),
inference(forward_subsumption_resolution,[],[f1100,f161]) ).
fof(f3269,plain,
sdtasdt0(xl,sdtsldt0(xm,xl)) = sdtasdt0(sdtsldt0(xm,xl),xl),
inference(resolution,[],[f279,f168]) ).
fof(f3654,plain,
xm = sdtasdt0(sdtsldt0(xm,xl),xl),
inference(forward_demodulation,[],[f3269,f167]) ).
fof(f3732,plain,
( xm != xm
| ~ aNaturalNumber0(sK2)
| sdtsldt0(xm,xl) = sK2 ),
inference(superposition,[],[f1108,f162]) ).
fof(f3733,plain,
( ~ aNaturalNumber0(sK2)
| sdtsldt0(xm,xl) = sK2 ),
inference(trivial_inequality_removal,[],[f3732]) ).
fof(f3734,plain,
sdtsldt0(xm,xl) = sK2,
inference(forward_subsumption_resolution,[],[f3733,f163]) ).
fof(f3777,plain,
sdtasdt0(xn,xm) != sdtasdt0(xl,sdtasdt0(xn,sK2)),
inference(superposition,[],[f170,f3734]) ).
fof(f4267,plain,
xm = sdtasdt0(sK2,xl),
inference(forward_demodulation,[],[f3654,f3734]) ).
fof(f4268,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X1,sK2),X0) = sdtasdt0(X1,sdtasdt0(sK2,X0)) ),
inference(forward_demodulation,[],[f821,f3734]) ).
fof(f4331,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(sdtasdt0(X0,sK2),xl) = sdtasdt0(X0,sdtasdt0(sK2,xl)) ),
inference(resolution,[],[f4268,f161]) ).
fof(f4339,plain,
! [X0] :
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(sdtasdt0(X0,sK2),xl) ),
inference(forward_demodulation,[],[f4331,f4267]) ).
fof(f40319,plain,
sdtasdt0(xn,xm) = sdtasdt0(sdtasdt0(xn,sK2),xl),
inference(resolution,[],[f4339,f166]) ).
fof(f48177,definition,
( spl3_45
<=> aNaturalNumber0(sdtasdt0(xn,sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_45])],[avatar_definition]) ).
fof(f48178,plain,
( aNaturalNumber0(sdtasdt0(xn,sK2))
| ~ spl3_45 ),
inference(avatar_component_clause,[],[f48177]) ).
fof(f48179,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,sK2))
| spl3_45 ),
inference(avatar_component_clause,[],[f48177]) ).
fof(f48223,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sK2)
| spl3_45 ),
inference(resolution,[],[f48179,f108]) ).
fof(f48224,plain,
( ~ aNaturalNumber0(sK2)
| spl3_45 ),
inference(forward_subsumption_resolution,[],[f48223,f166]) ).
fof(f48225,plain,
( $false
| spl3_45 ),
inference(forward_subsumption_resolution,[],[f48224,f163]) ).
fof(f48226,plain,
spl3_45,
inference(avatar_contradiction_clause,[],[f48225]) ).
fof(f48333,plain,
( sdtasdt0(xl,sdtasdt0(xn,sK2)) = sdtasdt0(sdtasdt0(xn,sK2),xl)
| ~ spl3_45 ),
inference(resolution,[],[f48178,f279]) ).
fof(f48886,plain,
( sdtasdt0(xn,xm) = sdtasdt0(xl,sdtasdt0(xn,sK2))
| ~ spl3_45 ),
inference(forward_demodulation,[],[f48333,f40319]) ).
fof(f48891,plain,
( $false
| ~ spl3_45 ),
inference(forward_subsumption_resolution,[],[f48886,f3777]) ).
fof(f48892,plain,
~ spl3_45,
inference(avatar_contradiction_clause,[],[f48891]) ).
cnf(s43,plain,
spl3_45,
inference(sat_conversion,[],[f48226]) ).
cnf(s44,plain,
~ spl3_45,
inference(sat_conversion,[],[f48892]) ).
cnf(s45,plain,
$false,
inference(rat,[],[s43,s44]) ).
fof(f48893,plain,
$false,
inference(avatar_sat_refutation,[],[s45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM478+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 20:06:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 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
% 15.27/2.61 % (519472)Will run a generic schedule for satisfiability detection.
% 15.27/2.61 % (519482)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=665724129:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 15.27/2.61 % (519478)% WARNING: option uhcvi not known.
% 15.27/2.61 % (519477)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1687779019_2999 on theBenchmark for (2999ds/0Mi)
% 15.27/2.61 % (519478)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3980814002:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 15.27/2.61 % (519479)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1126260968:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 15.27/2.61 % (519480)dis+10_1_sil=32000:sp=arity:random_seed=1840251420:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 15.27/2.61 % (519481)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3587213156:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 15.27/2.61 % (519483)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1276788856:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 15.27/2.61 % TRYING [1]
% 15.27/2.61 % TRYING [2]
% 15.27/2.61 % TRYING [3]
% 15.27/2.61 % TRYING [4]
% 15.27/2.61 % (519482)Instruction limit reached!
% 15.27/2.61 % (519482)------------------------------
% 15.27/2.61 % (519482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.61 % (519482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.61 % (519482)CaDiCaL version: 2.1.3
% 15.27/2.61 % (519482)Termination reason: Instruction limit
% 15.27/2.61 % (519482)Termination phase: Saturation
% 15.27/2.61 % (519482)Time elapsed: 0.036 s
% 15.27/2.61 % (519482)Peak memory usage: 12 MB
% 15.27/2.61 % (519482)Instructions burned: 132 (million)
% 15.27/2.61 % TRYING [5]
% 15.27/2.61 % (519491)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3491878254:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 15.27/2.61 % TRYING [1]
% 15.27/2.61 % TRYING [2]
% 15.27/2.61 % TRYING [3]
% 15.27/2.61 % TRYING [4]
% 15.27/2.61 % (519480)Instruction limit reached!
% 15.27/2.61 % (519480)------------------------------
% 15.27/2.61 % (519480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.61 % (519480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.61 % (519480)CaDiCaL version: 2.1.3
% 15.27/2.61 % (519480)Termination reason: Instruction limit
% 15.27/2.61 % (519480)Termination phase: Saturation
% 15.27/2.61 % (519480)Time elapsed: 0.060 s
% 15.27/2.61 % (519480)Peak memory usage: 12 MB
% 15.27/2.61 % (519480)Instructions burned: 105 (million)
% 15.27/2.61 % TRYING [5]
% 15.27/2.61 % (519481)Instruction limit reached!
% 15.27/2.61 % (519481)------------------------------
% 15.27/2.61 % (519481)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.61 % (519481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.61 % (519481)CaDiCaL version: 2.1.3
% 15.27/2.61 % (519481)Termination reason: Instruction limit
% 15.27/2.61 % (519481)Termination phase: Saturation
% 15.27/2.61 % (519481)Time elapsed: 0.066 s
% 15.27/2.61 % (519481)Peak memory usage: 13 MB
% 15.27/2.61 % (519481)Instructions burned: 116 (million)
% 15.27/2.61 % (519493)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1651188266:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 15.27/2.61 % (519494)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=3566659732:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 15.27/2.61 % (519483)Instruction limit reached!
% 15.27/2.61 % (519483)------------------------------
% 15.27/2.61 % (519483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.61 % (519483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.61 % (519483)CaDiCaL version: 2.1.3
% 15.27/2.61 % (519483)Termination reason: Instruction limit
% 15.27/2.61 % (519483)Termination phase: Saturation
% 15.27/2.61 % (519483)Time elapsed: 0.088 s
% 15.27/2.61 % (519483)Peak memory usage: 14 MB
% 15.27/2.61 % (519483)Instructions burned: 159 (million)
% 15.27/2.61 % TRYING [6]
% 15.27/2.61 % TRYING [6]
% 15.27/2.61 % (519497)ott-21_1_sil=16000:fs=off:random_seed=2877448193:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 15.27/2.61 % (519493)Instruction limit reached!
% 15.27/2.61 % (519493)------------------------------
% 15.27/2.61 % (519493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.61 % (519493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519493)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519493)Termination reason: Instruction limit
% 15.27/2.65 % (519493)Termination phase: Saturation
% 15.27/2.65 % (519493)Time elapsed: 0.065 s
% 15.27/2.65 % (519493)Peak memory usage: 12 MB
% 15.27/2.65 % (519493)Instructions burned: 132 (million)
% 15.27/2.65 % (519499)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1669841635:i=477:bd=all_2998 on theBenchmark for (2998ds/477Mi)
% 15.27/2.65 % (519491)Instruction limit reached!
% 15.27/2.65 % (519491)------------------------------
% 15.27/2.65 % (519491)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519491)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519491)Termination reason: Instruction limit
% 15.27/2.65 % (519491)Termination phase: Finite model building SAT solving
% 15.27/2.65 % (519491)Time elapsed: 0.148 s
% 15.27/2.65 % (519491)Peak memory usage: 34 MB
% 15.27/2.65 % (519491)Instructions burned: 715 (million)
% 15.27/2.65 % (519501)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=327551309:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 15.27/2.65 % (519497)Instruction limit reached!
% 15.27/2.65 % (519497)------------------------------
% 15.27/2.65 % (519497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519497)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519497)Termination reason: Instruction limit
% 15.27/2.65 % (519497)Termination phase: Saturation
% 15.27/2.65 % (519497)Time elapsed: 0.092 s
% 15.27/2.65 % (519497)Peak memory usage: 13 MB
% 15.27/2.65 % (519497)Instructions burned: 182 (million)
% 15.27/2.65 % TRYING [1]
% 15.27/2.65 % TRYING [2]
% 15.27/2.65 % TRYING [3]
% 15.27/2.65 % TRYING [4]
% 15.27/2.65 % (519503)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3981694803:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 15.27/2.65 % TRYING [5]
% 15.27/2.65 % TRYING [7]
% 15.27/2.65 % TRYING [6]
% 15.27/2.65 % (519501)Instruction limit reached!
% 15.27/2.65 % (519501)------------------------------
% 15.27/2.65 % (519501)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519501)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519501)Termination reason: Instruction limit
% 15.27/2.65 % (519501)Termination phase: Finite model building constraint generation
% 15.27/2.65 % (519501)Time elapsed: 0.176 s
% 15.27/2.65 % (519501)Peak memory usage: 21 MB
% 15.27/2.65 % (519501)Instructions burned: 868 (million)
% 15.27/2.65 % (519505)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3999573506:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 15.27/2.65 % TRYING [14]
% 15.27/2.65 % (519499)Instruction limit reached!
% 15.27/2.65 % (519499)------------------------------
% 15.27/2.65 % (519499)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519499)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519499)Termination reason: Instruction limit
% 15.27/2.65 % (519499)Termination phase: Saturation
% 15.27/2.65 % (519499)Time elapsed: 0.306 s
% 15.27/2.65 % (519499)Peak memory usage: 14 MB
% 15.27/2.65 % (519499)Instructions burned: 479 (million)
% 15.27/2.65 % (519494)Instruction limit reached!
% 15.27/2.65 % (519494)------------------------------
% 15.27/2.65 % (519494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519494)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519494)Termination reason: Instruction limit
% 15.27/2.65 % (519494)Termination phase: Saturation
% 15.27/2.65 % (519494)Time elapsed: 0.405 s
% 15.27/2.65 % (519494)Peak memory usage: 18 MB
% 15.27/2.65 % (519494)Instructions burned: 685 (million)
% 15.27/2.65 % (519507)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=872689473: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)
% 15.27/2.65 % (519508)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=360789639:i=879:kws=inv_precedence:fsr=off_2994 on theBenchmark for (2994ds/879Mi)
% 15.27/2.65 % (519505)Instruction limit reached!
% 15.27/2.65 % (519505)------------------------------
% 15.27/2.65 % (519505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519505)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519505)Termination reason: Instruction limit
% 15.27/2.65 % (519505)Termination phase: Finite model building constraint generation
% 15.27/2.65 % (519505)Time elapsed: 0.184 s
% 15.27/2.65 % (519505)Peak memory usage: 73 MB
% 15.27/2.65 % (519505)Instructions burned: 893 (million)
% 15.27/2.65 % (519511)fmb+10_1_sil=64000:random_seed=655011039:i=22061:nm=2:gsp=on_2993 on theBenchmark for (2993ds/22061Mi)
% 15.27/2.65 % TRYING [1]
% 15.27/2.65 % TRYING [2]
% 15.27/2.65 % TRYING [3]
% 15.27/2.65 % TRYING [4]
% 15.27/2.65 % TRYING [8]
% 15.27/2.65 % TRYING [5]
% 15.27/2.65 % TRYING [6]
% 15.27/2.65 % (519507)Instruction limit reached!
% 15.27/2.65 % (519507)------------------------------
% 15.27/2.65 % (519507)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519507)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519507)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519507)Termination reason: Instruction limit
% 15.27/2.65 % (519507)Termination phase: Saturation
% 15.27/2.65 % (519507)Time elapsed: 0.354 s
% 15.27/2.65 % (519507)Peak memory usage: 20 MB
% 15.27/2.65 % (519507)Instructions burned: 693 (million)
% 15.27/2.65 % (519503)Instruction limit reached!
% 15.27/2.65 % (519503)------------------------------
% 15.27/2.65 % (519503)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519503)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519503)Termination reason: Instruction limit
% 15.27/2.65 % (519503)Termination phase: Saturation
% 15.27/2.65 % (519503)Time elapsed: 0.637 s
% 15.27/2.65 % (519503)Peak memory usage: 24 MB
% 15.27/2.65 % (519503)Instructions burned: 1179 (million)
% 15.27/2.65 % (519513)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3951754933:i=9515:nm=5_2991 on theBenchmark for (2991ds/9515Mi)
% 15.27/2.65 % TRYING [20]
% 15.27/2.65 % (519514)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=921449689:fmbsr=1.7:i=920_2991 on theBenchmark for (2991ds/920Mi)
% 15.27/2.65 % TRYING [8]
% 15.27/2.65 % (519508)Instruction limit reached!
% 15.27/2.65 % (519508)------------------------------
% 15.27/2.65 % (519508)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519508)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519508)Termination reason: Instruction limit
% 15.27/2.65 % (519508)Termination phase: Saturation
% 15.27/2.65 % (519508)Time elapsed: 0.485 s
% 15.27/2.65 % (519508)Peak memory usage: 20 MB
% 15.27/2.65 % (519508)Instructions burned: 880 (million)
% 15.27/2.65 % (519517)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3886632524:i=5131_2989 on theBenchmark for (2989ds/5131Mi)
% 15.27/2.65 % TRYING [7]
% 15.27/2.65 % (519514)Instruction limit reached!
% 15.27/2.65 % (519514)------------------------------
% 15.27/2.65 % (519514)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519514)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519514)Termination reason: Instruction limit
% 15.27/2.65 % (519514)Termination phase: Finite model building constraint generation
% 15.27/2.65 % (519514)Time elapsed: 0.342 s
% 15.27/2.65 % (519514)Peak memory usage: 66 MB
% 15.27/2.65 % (519514)Instructions burned: 922 (million)
% 15.27/2.65 % (519519)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=1032599158:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 15.27/2.65 % TRYING [9]
% 15.27/2.65 % TRYING [8]
% 15.27/2.65 % (519519)Instruction limit reached!
% 15.27/2.65 % (519519)------------------------------
% 15.27/2.65 % (519519)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519519)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519519)Termination reason: Instruction limit
% 15.27/2.65 % (519519)Termination phase: Saturation
% 15.27/2.65 % (519519)Time elapsed: 0.750 s
% 15.27/2.65 % (519519)Peak memory usage: 33 MB
% 15.27/2.65 % (519519)Instructions burned: 1472 (million)
% 15.27/2.65 % (519521)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=737094978:i=6324_2979 on theBenchmark for (2979ds/6324Mi)
% 15.27/2.65 % TRYING [77]
% 15.27/2.65 % (519517) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-519472-519517"...
% 15.27/2.65 % (519517)...printing done.
% 15.27/2.65 % (519517)Refutation found. Thanks to Tanya!
% 15.27/2.65 % SZS status Theorem for theBenchmark
% 15.27/2.65 % SZS output start Proof for theBenchmark
% See solution above
% 15.27/2.65 % (519517)------------------------------
% 15.27/2.65 % (519517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.27/2.65 % (519517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.27/2.65 % (519517)CaDiCaL version: 2.1.3
% 15.27/2.65 % (519517)Termination reason: Refutation
% 15.27/2.65 % (519517)Time elapsed: 1.136 s
% 15.27/2.65 % (519517)Peak memory usage: 30 MB
% 15.27/2.65 % (519517)Instructions burned: 2208 (million)
% 15.27/2.65 % (519472)Success in time 2.22 s
% 15.27/2.65 % Vampire exiting
%------------------------------------------------------------------------------