%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG091+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n010.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 12:36:00 PM UTC 2026
% Result : Theorem 7.43s 2.72s
% Output : Refutation 7.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 54 ( 18 unt; 2 def)
% Number of atoms : 158 ( 13 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 167 ( 63 ~; 60 |; 23 &)
% ( 10 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 54 ( 0 sgn 48 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f22,axiom,
! [X0,X1] :
( ( aSet0(X0)
& aSet0(X1) )
=> ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSSum) ).
fof(f24,axiom,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X2] :
( aElement0(X2)
=> aElementOf0(sdtasdt0(X2,X1),X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefIdeal) ).
fof(f25,axiom,
( aIdeal0(xI)
& aIdeal0(xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__870) ).
fof(f29,axiom,
( aElementOf0(sdtpldt0(xk,xm),xI)
& aElementOf0(sdtpldt0(xl,xn),xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__994) ).
fof(f30,axiom,
( aElementOf0(sdtasdt0(xz,xk),xI)
& aElementOf0(sdtasdt0(xz,xl),xJ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1021) ).
fof(f31,axiom,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1061) ).
fof(f32,axiom,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1098) ).
fof(f33,conjecture,
( aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f34,negated_conjecture,
~ ( aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
& aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ),
inference(negated_conjecture,[status(cth)],[f33]) ).
fof(f36,plain,
! [X0] :
( aIdeal0(X0)
<=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(rectify,[],[f24]) ).
fof(f37,plain,
! [X0] :
( aIdeal0(X0)
=> ( aSet0(X0)
& ! [X1] :
( aElementOf0(X1,X0)
=> ( ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(sdtpldt0(X1,X2),X0) )
& ! [X3] :
( aElement0(X3)
=> aElementOf0(sdtasdt0(X3,X1),X0) ) ) ) ) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f66,plain,
! [X0,X1] :
( ! [X2] :
( X2 = sdtpldt1(X0,X1)
<=> ( aSet0(X2)
& ! [X3] :
( aElementOf0(X3,X2)
<=> ? [X4,X5] :
( aElementOf0(X4,X0)
& aElementOf0(X5,X1)
& sdtpldt0(X4,X5) = X3 ) ) ) )
| ~ aSet0(X0)
| ~ aSet0(X1) ),
inference(flattening,[],[f65]) ).
fof(f69,plain,
! [X0] :
( ( aSet0(X0)
& ! [X1] :
( ( ! [X2] :
( aElementOf0(sdtpldt0(X1,X2),X0)
| ~ aElementOf0(X2,X0) )
& ! [X3] :
( aElementOf0(sdtasdt0(X3,X1),X0)
| ~ aElement0(X3) ) )
| ~ aElementOf0(X1,X0) ) )
| ~ aIdeal0(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f70,plain,
( ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ),
inference(ennf_transformation,[],[f34]) ).
fof(f102,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| sdtpldt0(X4,X5) != X3
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0)
| aElementOf0(X3,X2)
| sdtpldt1(X0,X1) != X2 ),
inference(cnf_transformation,[],[f66]) ).
fof(f117,plain,
! [X0] :
( ~ aIdeal0(X0)
| aSet0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f118,plain,
aIdeal0(xJ),
inference(cnf_transformation,[],[f25]) ).
fof(f119,plain,
aIdeal0(xI),
inference(cnf_transformation,[],[f25]) ).
fof(f129,plain,
aElementOf0(sdtpldt0(xl,xn),xJ),
inference(cnf_transformation,[],[f29]) ).
fof(f130,plain,
aElementOf0(sdtpldt0(xk,xm),xI),
inference(cnf_transformation,[],[f29]) ).
fof(f131,plain,
aElementOf0(sdtasdt0(xz,xl),xJ),
inference(cnf_transformation,[],[f30]) ).
fof(f132,plain,
aElementOf0(sdtasdt0(xz,xk),xI),
inference(cnf_transformation,[],[f30]) ).
fof(f133,plain,
sdtpldt0(xx,xy) = sdtpldt0(sdtpldt0(xk,xm),sdtpldt0(xl,xn)),
inference(cnf_transformation,[],[f31]) ).
fof(f134,plain,
sdtasdt0(xz,xx) = sdtpldt0(sdtasdt0(xz,xk),sdtasdt0(xz,xl)),
inference(cnf_transformation,[],[f32]) ).
fof(f135,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
inference(cnf_transformation,[],[f70]) ).
fof(f137,plain,
! [X2,X0,X1,X4,X5] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0)
| aElementOf0(sdtpldt0(X4,X5),X2)
| sdtpldt1(X0,X1) != X2 ),
inference(equality_resolution,[],[f102]) ).
fof(f138,plain,
! [X0,X1,X4,X5] :
( aElementOf0(sdtpldt0(X4,X5),sdtpldt1(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(X5,X1)
| ~ aElementOf0(X4,X0)
| ~ aSet0(X1) ),
inference(equality_resolution,[],[f137]) ).
fof(f147,definition,
( spl8_1
<=> aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f149,plain,
( ~ aElementOf0(sdtpldt0(xx,xy),sdtpldt1(xI,xJ))
| spl8_1 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f151,definition,
( spl8_2
<=> aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ)) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f153,plain,
( ~ aElementOf0(sdtasdt0(xz,xx),sdtpldt1(xI,xJ))
| spl8_2 ),
inference(avatar_component_clause,[],[f151]) ).
fof(f154,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(avatar_split_clause,[],[f135,f151,f147]) ).
fof(f155,plain,
aSet0(xJ),
inference(resolution,[],[f117,f118]) ).
fof(f156,plain,
aSet0(xI),
inference(resolution,[],[f117,f119]) ).
fof(f473,plain,
! [X0,X1] :
( aElementOf0(sdtpldt0(xx,xy),sdtpldt1(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(sdtpldt0(xl,xn),X1)
| ~ aElementOf0(sdtpldt0(xk,xm),X0)
| ~ aSet0(X1) ),
inference(superposition,[],[f138,f133]) ).
fof(f474,plain,
! [X0,X1] :
( aElementOf0(sdtasdt0(xz,xx),sdtpldt1(X0,X1))
| ~ aSet0(X0)
| ~ aElementOf0(sdtasdt0(xz,xl),X1)
| ~ aElementOf0(sdtasdt0(xz,xk),X0)
| ~ aSet0(X1) ),
inference(superposition,[],[f138,f134]) ).
fof(f7097,plain,
( ~ aSet0(xI)
| ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI)
| ~ aSet0(xJ)
| spl8_1 ),
inference(resolution,[],[f473,f149]) ).
fof(f7134,plain,
( ~ aElementOf0(sdtpldt0(xl,xn),xJ)
| ~ aElementOf0(sdtpldt0(xk,xm),xI)
| ~ aSet0(xJ)
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f7097,f156]) ).
fof(f7135,plain,
( ~ aElementOf0(sdtpldt0(xk,xm),xI)
| ~ aSet0(xJ)
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f7134,f129]) ).
fof(f7136,plain,
( ~ aSet0(xJ)
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f7135,f130]) ).
fof(f7137,plain,
( $false
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f7136,f155]) ).
fof(f7138,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f7137]) ).
fof(f7181,plain,
( ~ aSet0(xI)
| ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xI)
| ~ aSet0(xJ)
| spl8_2 ),
inference(resolution,[],[f474,f153]) ).
fof(f7218,plain,
( ~ aElementOf0(sdtasdt0(xz,xl),xJ)
| ~ aElementOf0(sdtasdt0(xz,xk),xI)
| ~ aSet0(xJ)
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f7181,f156]) ).
fof(f7219,plain,
( ~ aElementOf0(sdtasdt0(xz,xk),xI)
| ~ aSet0(xJ)
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f7218,f131]) ).
fof(f7220,plain,
( ~ aSet0(xJ)
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f7219,f132]) ).
fof(f7221,plain,
( $false
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f7220,f155]) ).
fof(f7222,plain,
spl8_2,
inference(avatar_contradiction_clause,[],[f7221]) ).
cnf(s1,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(sat_conversion,[],[f154]) ).
cnf(s15,plain,
spl8_1,
inference(sat_conversion,[],[f7138]) ).
cnf(s17,plain,
spl8_2,
inference(sat_conversion,[],[f7222]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s1,s17,s15]) ).
fof(f7223,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG091+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.42 % Computer : n010.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 23:13:32 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.23/0.48 Running first-order model finding
% 0.23/0.48 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.43/2.72 % (1412801)Will run a generic schedule for satisfiability detection.
% 7.43/2.72 % (1412807)% WARNING: option uhcvi not known.
% 7.43/2.72 % (1412807)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1300515427:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 7.43/2.72 % (1412808)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3556637446:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 7.43/2.72 % (1412806)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4013982345_2999 on theBenchmark for (2999ds/0Mi)
% 7.43/2.72 % (1412812)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=979511768:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 7.43/2.72 % (1412810)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2910741516:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 7.43/2.72 % (1412811)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4086377862:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 7.43/2.72 % (1412809)dis+10_1_sil=32000:sp=arity:random_seed=2549185136:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 7.43/2.72 % TRYING [1]
% 7.43/2.72 % TRYING [2]
% 7.43/2.72 % TRYING [3]
% 7.43/2.72 % TRYING [4]
% 7.43/2.72 % (1412809)Instruction limit reached!
% 7.43/2.72 % (1412809)------------------------------
% 7.43/2.72 % (1412809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412809)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412809)Termination reason: Instruction limit
% 7.43/2.72 % (1412809)Termination phase: Saturation
% 7.43/2.72 % (1412809)Time elapsed: 0.099 s
% 7.43/2.72 % (1412809)Peak memory usage: 12 MB
% 7.43/2.72 % (1412809)Instructions burned: 103 (million)
% 7.43/2.72 % (1412810)Instruction limit reached!
% 7.43/2.72 % (1412810)------------------------------
% 7.43/2.72 % (1412810)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412810)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412810)Termination reason: Instruction limit
% 7.43/2.72 % (1412810)Termination phase: Saturation
% 7.43/2.72 % (1412810)Time elapsed: 0.107 s
% 7.43/2.72 % (1412810)Peak memory usage: 13 MB
% 7.43/2.72 % (1412810)Instructions burned: 116 (million)
% 7.43/2.72 % (1412811)Instruction limit reached!
% 7.43/2.72 % (1412811)------------------------------
% 7.43/2.72 % (1412811)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412811)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412811)Termination reason: Instruction limit
% 7.43/2.72 % (1412811)Termination phase: Saturation
% 7.43/2.72 % (1412811)Time elapsed: 0.122 s
% 7.43/2.72 % (1412811)Peak memory usage: 13 MB
% 7.43/2.72 % (1412811)Instructions burned: 131 (million)
% 7.43/2.72 % (1412821)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2561894506:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 7.43/2.72 % (1412820)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=629403523:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 7.43/2.72 % TRYING [5]
% 7.43/2.72 % TRYING [1]
% 7.43/2.72 % TRYING [2]
% 7.43/2.72 % TRYING [3]
% 7.43/2.72 % (1412812)Instruction limit reached!
% 7.43/2.72 % (1412812)------------------------------
% 7.43/2.72 % (1412812)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412812)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412812)Termination reason: Instruction limit
% 7.43/2.72 % (1412812)Termination phase: Saturation
% 7.43/2.72 % (1412812)Time elapsed: 0.155 s
% 7.43/2.72 % (1412812)Peak memory usage: 14 MB
% 7.43/2.72 % (1412812)Instructions burned: 159 (million)
% 7.43/2.72 % (1412822)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=1948373309:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 7.43/2.72 % (1412825)ott-21_1_sil=16000:fs=off:random_seed=2114513111:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 7.43/2.72 % TRYING [4]
% 7.43/2.72 % (1412821)Instruction limit reached!
% 7.43/2.72 % (1412821)------------------------------
% 7.43/2.72 % (1412821)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412821)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412821)Termination reason: Instruction limit
% 7.43/2.72 % (1412821)Termination phase: Saturation
% 7.43/2.72 % (1412821)Time elapsed: 0.115 s
% 7.43/2.72 % (1412821)Peak memory usage: 12 MB
% 7.43/2.72 % (1412821)Instructions burned: 132 (million)
% 7.43/2.72 % (1412828)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3087294095:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 7.43/2.72 % (1412825)Instruction limit reached!
% 7.43/2.72 % (1412825)------------------------------
% 7.43/2.72 % (1412825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412825)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412825)Termination reason: Instruction limit
% 7.43/2.72 % (1412825)Termination phase: Saturation
% 7.43/2.72 % (1412825)Time elapsed: 0.167 s
% 7.43/2.72 % (1412825)Peak memory usage: 13 MB
% 7.43/2.72 % (1412825)Instructions burned: 180 (million)
% 7.43/2.72 % (1412830)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=194822589:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 7.43/2.72 % TRYING [1]
% 7.43/2.72 % TRYING [2]
% 7.43/2.72 % TRYING [3]
% 7.43/2.72 % TRYING [5]
% 7.43/2.72 % TRYING [6]
% 7.43/2.72 % TRYING [4]
% 7.43/2.72 % (1412820)Instruction limit reached!
% 7.43/2.72 % (1412820)------------------------------
% 7.43/2.72 % (1412820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412820)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412820)Termination reason: Instruction limit
% 7.43/2.72 % (1412820)Termination phase: Finite model building SAT solving
% 7.43/2.72 % (1412820)Time elapsed: 0.598 s
% 7.43/2.72 % (1412820)Peak memory usage: 25 MB
% 7.43/2.72 % (1412820)Instructions burned: 714 (million)
% 7.43/2.72 % (1412822)Instruction limit reached!
% 7.43/2.72 % (1412822)------------------------------
% 7.43/2.72 % (1412822)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412822)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412822)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412822)Termination reason: Instruction limit
% 7.43/2.72 % (1412822)Termination phase: Saturation
% 7.43/2.72 % (1412822)Time elapsed: 0.568 s
% 7.43/2.72 % (1412822)Peak memory usage: 16 MB
% 7.43/2.72 % (1412822)Instructions burned: 684 (million)
% 7.43/2.72 % (1412832)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=1296334222:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 7.43/2.72 % TRYING [5]
% 7.43/2.72 % (1412833)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=327794603:i=889:ins=1_2992 on theBenchmark for (2992ds/889Mi)
% 7.43/2.72 % (1412828)Instruction limit reached!
% 7.43/2.72 % (1412828)------------------------------
% 7.43/2.72 % (1412828)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412828)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412828)Termination reason: Instruction limit
% 7.43/2.72 % (1412828)Termination phase: Saturation
% 7.43/2.72 % (1412828)Time elapsed: 0.517 s
% 7.43/2.72 % (1412828)Peak memory usage: 14 MB
% 7.43/2.72 % (1412828)Instructions burned: 477 (million)
% 7.43/2.72 % (1412836)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=1304157225: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)
% 7.43/2.72 % (1412830)Instruction limit reached!
% 7.43/2.72 % (1412830)------------------------------
% 7.43/2.72 % (1412830)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412830)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412830)Termination reason: Instruction limit
% 7.43/2.72 % (1412830)Termination phase: Finite model building SAT solving
% 7.43/2.72 % (1412830)Time elapsed: 0.609 s
% 7.43/2.72 % (1412830)Peak memory usage: 25 MB
% 7.43/2.72 % (1412830)Instructions burned: 865 (million)
% 7.43/2.72 % (1412838)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1158092156:i=879:kws=inv_precedence:fsr=off_2989 on theBenchmark for (2989ds/879Mi)
% 7.43/2.72 % TRYING [14]
% 7.43/2.72 % TRYING [7]
% 7.43/2.72 % (1412836)Instruction limit reached!
% 7.43/2.72 % (1412836)------------------------------
% 7.43/2.72 % (1412836)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412836)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412836)Termination reason: Instruction limit
% 7.43/2.72 % (1412836)Termination phase: Saturation
% 7.43/2.72 % (1412836)Time elapsed: 0.651 s
% 7.43/2.72 % (1412836)Peak memory usage: 25 MB
% 7.43/2.72 % (1412836)Instructions burned: 692 (million)
% 7.43/2.72 % (1412833)Instruction limit reached!
% 7.43/2.72 % (1412833)------------------------------
% 7.43/2.72 % (1412833)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412833)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412833)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412833)Termination reason: Instruction limit
% 7.43/2.72 % (1412833)Termination phase: Finite model building constraint generation
% 7.43/2.72 % (1412833)Time elapsed: 0.707 s
% 7.43/2.72 % (1412833)Peak memory usage: 87 MB
% 7.43/2.72 % (1412833)Instructions burned: 889 (million)
% 7.43/2.72 % (1412840)fmb+10_1_sil=64000:random_seed=1999724694:i=22061:nm=2:gsp=on_2984 on theBenchmark for (2984ds/22061Mi)
% 7.43/2.72 % TRYING [1]
% 7.43/2.72 % TRYING [2]
% 7.43/2.72 % TRYING [3]
% 7.43/2.72 % (1412841)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=2396381122:i=9515:nm=5_2984 on theBenchmark for (2984ds/9515Mi)
% 7.43/2.72 % TRYING [20]
% 7.43/2.72 % TRYING [4]
% 7.43/2.72 % TRYING [5]
% 7.43/2.72 % (1412832)Instruction limit reached!
% 7.43/2.72 % (1412832)------------------------------
% 7.43/2.72 % (1412832)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412832)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412832)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412832)Termination reason: Instruction limit
% 7.43/2.72 % (1412832)Termination phase: Saturation
% 7.43/2.72 % (1412832)Time elapsed: 1.067 s
% 7.43/2.72 % (1412832)Peak memory usage: 31 MB
% 7.43/2.72 % (1412832)Instructions burned: 1180 (million)
% 7.43/2.72 % (1412844)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2194507990:fmbsr=1.7:i=920_2981 on theBenchmark for (2981ds/920Mi)
% 7.43/2.72 % (1412838)Instruction limit reached!
% 7.43/2.72 % (1412838)------------------------------
% 7.43/2.72 % (1412838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412838)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412838)Termination reason: Instruction limit
% 7.43/2.72 % (1412838)Termination phase: Saturation
% 7.43/2.72 % (1412838)Time elapsed: 0.828 s
% 7.43/2.72 % (1412838)Peak memory usage: 19 MB
% 7.43/2.72 % (1412838)Instructions burned: 879 (million)
% 7.43/2.72 % TRYING [8]
% 7.43/2.72 % (1412846)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1005625699:i=5131_2981 on theBenchmark for (2981ds/5131Mi)
% 7.43/2.72 % (1412846) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1412801-1412846"...
% 7.43/2.72 % (1412846)...printing done.
% 7.43/2.72 % (1412846)Refutation found. Thanks to Tanya!
% 7.43/2.72 % SZS status Theorem for theBenchmark
% 7.43/2.72 % SZS output start Proof for theBenchmark
% See solution above
% 7.43/2.72 % (1412846)------------------------------
% 7.43/2.72 % (1412846)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 7.43/2.72 % (1412846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.43/2.72 % (1412846)CaDiCaL version: 2.1.3
% 7.43/2.72 % (1412846)Termination reason: Refutation
% 7.43/2.72 % (1412846)Time elapsed: 0.259 s
% 7.43/2.72 % (1412846)Peak memory usage: 15 MB
% 7.43/2.72 % (1412846)Instructions burned: 295 (million)
% 7.43/2.72 % (1412801)Success in time 2.23 s
% 7.43/2.72 % Vampire exiting
%------------------------------------------------------------------------------