%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG073+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 12:35:24 PM UTC 2026
% Result : Theorem 6.80s 1.90s
% Output : Refutation 8.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 16
% Syntax : Number of formulae : 81 ( 30 unt; 5 def)
% Number of atoms : 196 ( 40 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 215 ( 100 ~; 95 |; 11 &)
% ( 3 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSumSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulSc) ).
fof(f21,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(X0,X1)
& sdtlseqdt0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEASm) ).
fof(f28,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> ( ( sdtlseqdt0(sz0z00,X0)
& sdtlseqdt0(sz0z00,X1)
& sdtasdt0(X0,X0) = sdtasdt0(X1,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSqrt) ).
fof(f52,axiom,
( aScalar0(xR)
& xR = sdtasdt0(xC,xG) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f54,axiom,
( aScalar0(xS)
& xS = sdtasdt0(xF,xD) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
fof(f59,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2405) ).
fof(f62,axiom,
( sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
& sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2628) ).
fof(f63,axiom,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2654) ).
fof(f64,conjecture,
sdtpldt0(xR,xS) = sdtpldt0(xP,xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f65,negated_conjecture,
sdtpldt0(xR,xS) != sdtpldt0(xP,xP),
inference(negated_conjecture,[status(cth)],[f64]) ).
fof(f71,plain,
sdtpldt0(xP,xP) != sdtpldt0(xR,xS),
inference(flattening,[],[f65]) ).
fof(f78,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f79,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f81,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f80]) ).
fof(f95,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f21]) ).
fof(f96,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f95]) ).
fof(f108,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f109,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f108]) ).
fof(f141,plain,
! [X0,X1] :
( aScalar0(sdtpldt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f142,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f163,plain,
! [X0,X1] :
( ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f171,plain,
! [X0,X1] :
( sdtasdt0(X0,X0) != sdtasdt0(X1,X1)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,X1)
| X0 = X1
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f109]) ).
fof(f214,plain,
aScalar0(xR),
inference(cnf_transformation,[],[f52]) ).
fof(f216,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f218,plain,
aScalar0(xS),
inference(cnf_transformation,[],[f54]) ).
fof(f224,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference(cnf_transformation,[],[f59]) ).
fof(f227,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xP,xP)),
inference(cnf_transformation,[],[f62]) ).
fof(f228,plain,
sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
inference(cnf_transformation,[],[f62]) ).
fof(f229,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
inference(cnf_transformation,[],[f63]) ).
fof(f230,plain,
sdtpldt0(xP,xP) != sdtpldt0(xR,xS),
inference(cnf_transformation,[],[f71]) ).
fof(f234,definition,
sF2 = sdtpldt0(xP,xP),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f235,plain,
sdtpldt0(xP,xP) = sF2,
inference(reorient_equations,[],[f234]) ).
fof(f236,definition,
sF3 = sdtpldt0(xR,xS),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f237,plain,
sdtpldt0(xR,xS) = sF3,
inference(reorient_equations,[],[f236]) ).
fof(f238,plain,
sF2 != sF3,
inference(definition_folding,[],[f230,f237,f235]) ).
fof(f263,plain,
sdtlseqdt0(sz0z00,sF3),
inference(superposition,[],[f228,f237]) ).
fof(f264,plain,
sdtlseqdt0(sz0z00,sF2),
inference(superposition,[],[f227,f235]) ).
fof(f265,plain,
( aScalar0(sF2)
| ~ aScalar0(xP)
| ~ aScalar0(xP) ),
inference(superposition,[],[f141,f235]) ).
fof(f266,plain,
( aScalar0(sF3)
| ~ aScalar0(xR)
| ~ aScalar0(xS) ),
inference(superposition,[],[f141,f237]) ).
fof(f267,plain,
( aScalar0(sF2)
| ~ aScalar0(xP) ),
inference(duplicate_literal_removal,[],[f265]) ).
fof(f268,plain,
( aScalar0(sF3)
| ~ aScalar0(xS) ),
inference(forward_subsumption_resolution,[],[f266,f214]) ).
fof(f269,plain,
aScalar0(sF2),
inference(forward_subsumption_resolution,[],[f267,f216]) ).
fof(f270,plain,
aScalar0(sF3),
inference(forward_subsumption_resolution,[],[f268,f218]) ).
fof(f338,plain,
( ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)))
| sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
inference(resolution,[],[f229,f163]) ).
fof(f343,plain,
( sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
inference(forward_subsumption_resolution,[],[f338,f224]) ).
fof(f344,plain,
( sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)) = sdtasdt0(sF3,sF3)
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
inference(forward_demodulation,[],[f343,f237]) ).
fof(f345,plain,
( sdtasdt0(sF3,sF3) = sdtasdt0(sF2,sF2)
| ~ aScalar0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)))
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
inference(forward_demodulation,[],[f344,f235]) ).
fof(f346,plain,
( ~ aScalar0(sdtasdt0(sF2,sF2))
| sdtasdt0(sF3,sF3) = sdtasdt0(sF2,sF2)
| ~ aScalar0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))) ),
inference(forward_demodulation,[],[f345,f235]) ).
fof(f347,plain,
( ~ aScalar0(sdtasdt0(sF3,sF3))
| ~ aScalar0(sdtasdt0(sF2,sF2))
| sdtasdt0(sF3,sF3) = sdtasdt0(sF2,sF2) ),
inference(forward_demodulation,[],[f346,f237]) ).
fof(f349,definition,
( spl4_9
<=> sdtasdt0(sF3,sF3) = sdtasdt0(sF2,sF2) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f351,plain,
( sdtasdt0(sF3,sF3) = sdtasdt0(sF2,sF2)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f349]) ).
fof(f353,definition,
( spl4_10
<=> aScalar0(sdtasdt0(sF2,sF2)) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f355,plain,
( ~ aScalar0(sdtasdt0(sF2,sF2))
| spl4_10 ),
inference(avatar_component_clause,[],[f353]) ).
fof(f357,definition,
( spl4_11
<=> aScalar0(sdtasdt0(sF3,sF3)) ),
introduced(definition,[new_symbols(definition,[spl4_11])],[avatar_definition]) ).
fof(f359,plain,
( ~ aScalar0(sdtasdt0(sF3,sF3))
| spl4_11 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f360,plain,
( spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f347,f357,f353,f349]) ).
fof(f366,plain,
( ~ aScalar0(sF2)
| ~ aScalar0(sF2)
| spl4_10 ),
inference(resolution,[],[f142,f355]) ).
fof(f371,plain,
( ~ aScalar0(sF2)
| spl4_10 ),
inference(duplicate_literal_removal,[],[f366]) ).
fof(f372,plain,
( $false
| spl4_10 ),
inference(forward_subsumption_resolution,[],[f371,f269]) ).
fof(f373,plain,
spl4_10,
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f374,plain,
( ~ aScalar0(sF3)
| ~ aScalar0(sF3)
| spl4_11 ),
inference(resolution,[],[f359,f142]) ).
fof(f375,plain,
( ~ aScalar0(sF3)
| spl4_11 ),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f376,plain,
( $false
| spl4_11 ),
inference(forward_subsumption_resolution,[],[f375,f270]) ).
fof(f377,plain,
spl4_11,
inference(avatar_contradiction_clause,[],[f376]) ).
fof(f425,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sF2,sF2)
| ~ sdtlseqdt0(sz0z00,X0)
| ~ sdtlseqdt0(sz0z00,sF3)
| sF3 = X0
| ~ aScalar0(X0)
| ~ aScalar0(sF3) )
| ~ spl4_9 ),
inference(superposition,[],[f171,f351]) ).
fof(f428,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sF2,sF2)
| ~ sdtlseqdt0(sz0z00,X0)
| sF3 = X0
| ~ aScalar0(X0)
| ~ aScalar0(sF3) )
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f425,f263]) ).
fof(f430,plain,
( ! [X0] :
( sdtasdt0(X0,X0) != sdtasdt0(sF2,sF2)
| ~ sdtlseqdt0(sz0z00,X0)
| sF3 = X0
| ~ aScalar0(X0) )
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f428,f270]) ).
fof(f432,plain,
( ~ sdtlseqdt0(sz0z00,sF2)
| sF2 = sF3
| ~ aScalar0(sF2)
| ~ spl4_9 ),
inference(equality_resolution,[],[f430]) ).
fof(f433,plain,
( sF2 = sF3
| ~ aScalar0(sF2)
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f432,f264]) ).
fof(f434,plain,
( ~ aScalar0(sF2)
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f433,f238]) ).
fof(f435,plain,
( $false
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f434,f269]) ).
fof(f436,plain,
~ spl4_9,
inference(avatar_contradiction_clause,[],[f435]) ).
cnf(s8,plain,
( spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(sat_conversion,[],[f360]) ).
cnf(s9,plain,
spl4_10,
inference(sat_conversion,[],[f373]) ).
cnf(s10,plain,
spl4_11,
inference(sat_conversion,[],[f377]) ).
cnf(s11,plain,
~ spl4_9,
inference(sat_conversion,[],[f436]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s8,s10,s9,s11]) ).
fof(f437,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG073+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n015.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 23:13:46 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.80/1.90 % (2121148)Detected formulas, will run a generic FOF schedule.
% 6.80/1.90 % (2121154)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3021726543:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.80/1.90 % (2121157)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3702027418:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.80/1.90 % (2121153)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=278685001:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.80/1.90 % (2121158)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4282015266:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.80/1.90 % (2121159)dis-21_1_sil=8000:lcm=predicate:random_seed=706811905:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.80/1.90 % (2121155)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1694169744:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.80/1.90 % (2121156)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3515862486:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.80/1.90 % (2121156)Instruction limit reached!
% 6.80/1.90 % (2121156)------------------------------
% 6.80/1.90 % (2121156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121156)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121156)Termination reason: Instruction limit
% 6.80/1.90 % (2121156)Termination phase: Saturation
% 6.80/1.90 % (2121156)Time elapsed: 0.052 s
% 6.80/1.90 % (2121156)Peak memory usage: 89 MB
% 6.80/1.90 % (2121156)Instructions burned: 111 (million)
% 6.80/1.90 % (2121157)Instruction limit reached!
% 6.80/1.90 % (2121157)------------------------------
% 6.80/1.90 % (2121157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121157)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121157)Termination reason: Instruction limit
% 6.80/1.90 % (2121157)Termination phase: Saturation
% 6.80/1.90 % (2121157)Time elapsed: 0.068 s
% 6.80/1.90 % (2121157)Peak memory usage: 88 MB
% 6.80/1.90 % (2121157)Instructions burned: 120 (million)
% 6.80/1.90 % (2121159)Instruction limit reached!
% 6.80/1.90 % (2121159)------------------------------
% 6.80/1.90 % (2121159)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121159)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121159)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121159)Termination reason: Instruction limit
% 6.80/1.90 % (2121159)Termination phase: Saturation
% 6.80/1.90 % (2121159)Time elapsed: 0.075 s
% 6.80/1.90 % (2121159)Peak memory usage: 89 MB
% 6.80/1.90 % (2121159)Instructions burned: 130 (million)
% 6.80/1.90 % (2121158)Instruction limit reached!
% 6.80/1.90 % (2121158)------------------------------
% 6.80/1.90 % (2121158)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121158)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121158)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121158)Termination reason: Instruction limit
% 6.80/1.90 % (2121158)Termination phase: Saturation
% 6.80/1.90 % (2121158)Time elapsed: 0.092 s
% 6.80/1.90 % (2121158)Peak memory usage: 90 MB
% 6.80/1.90 % (2121158)Instructions burned: 139 (million)
% 6.80/1.90 % (2121167)lrs+10_1_sil=8000:sp=occurrence:random_seed=107274385:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.80/1.90 % (2121168)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2713699768:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.80/1.90 % (2121168)Refutation not found, incomplete strategy
% 6.80/1.90 % (2121168)------------------------------
% 6.80/1.90 % (2121168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121168)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121168)Termination reason: Refutation not found, incomplete strategy
% 6.80/1.90 % (2121168)Time elapsed: 0.002 s
% 6.80/1.90 % (2121168)Peak memory usage: 89 MB
% 6.80/1.90 % (2121168)Instructions burned: 2 (million)
% 6.80/1.90 % (2121169)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3283373314:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.80/1.90 % (2121170)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=828592719:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.80/1.90 % (2121170)Instruction limit reached!
% 6.80/1.90 % (2121170)------------------------------
% 6.80/1.90 % (2121170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121170)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121170)Termination reason: Instruction limit
% 6.80/1.90 % (2121170)Termination phase: Saturation
% 6.80/1.90 % (2121170)Time elapsed: 0.115 s
% 6.80/1.90 % (2121170)Peak memory usage: 94 MB
% 6.80/1.90 % (2121170)Instructions burned: 248 (million)
% 6.80/1.90 % (2121167)Instruction limit reached!
% 6.80/1.90 % (2121167)------------------------------
% 6.80/1.90 % (2121167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121167)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121167)Termination reason: Instruction limit
% 6.80/1.90 % (2121167)Termination phase: Saturation
% 6.80/1.90 % (2121167)Time elapsed: 0.158 s
% 6.80/1.90 % (2121167)Peak memory usage: 92 MB
% 6.80/1.90 % (2121167)Instructions burned: 285 (million)
% 6.80/1.90 % (2121169)Instruction limit reached!
% 6.80/1.90 % (2121169)------------------------------
% 6.80/1.90 % (2121169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121169)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121169)Termination reason: Instruction limit
% 6.80/1.90 % (2121169)Termination phase: Saturation
% 6.80/1.90 % (2121169)Time elapsed: 0.195 s
% 6.80/1.90 % (2121169)Peak memory usage: 93 MB
% 6.80/1.90 % (2121169)Instructions burned: 326 (million)
% 6.80/1.90 % (2121168)------------------------------
% 6.80/1.90 % (2121168)------------------------------
% 6.80/1.90 % (2121175)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4190949623:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.80/1.90 % (2121176)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1859560497:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.80/1.90 % (2121177)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2954874498:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.80/1.90 % (2121179)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1213701829:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.80/1.90 % (2121177)Instruction limit reached!
% 6.80/1.90 % (2121177)------------------------------
% 6.80/1.90 % (2121177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121177)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121177)Termination reason: Instruction limit
% 6.80/1.90 % (2121177)Termination phase: Saturation
% 6.80/1.90 % (2121177)Time elapsed: 0.073 s
% 6.80/1.90 % (2121177)Peak memory usage: 91 MB
% 6.80/1.90 % (2121177)Instructions burned: 113 (million)
% 6.80/1.90 % (2121175)Instruction limit reached!
% 6.80/1.90 % (2121175)------------------------------
% 6.80/1.90 % (2121175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121175)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121175)Termination reason: Instruction limit
% 6.80/1.90 % (2121175)Termination phase: Saturation
% 6.80/1.90 % (2121175)Time elapsed: 0.166 s
% 6.80/1.90 % (2121175)Peak memory usage: 90 MB
% 6.80/1.90 % (2121175)Instructions burned: 294 (million)
% 6.80/1.90 % (2121153)First to succeed.
% 6.80/1.90 % (2121153)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2121148"
% 6.80/1.90 % (2121179)Instruction limit reached!
% 6.80/1.90 % (2121179)------------------------------
% 6.80/1.90 % (2121179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121179)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121179)Termination reason: Instruction limit
% 6.80/1.90 % (2121179)Termination phase: Saturation
% 6.80/1.90 % (2121179)Time elapsed: 0.065 s
% 6.80/1.90 % (2121179)Peak memory usage: 89 MB
% 6.80/1.90 % (2121179)Instructions burned: 127 (million)
% 6.80/1.90 % (2121184)lrs+10_1_sil=8000:sp=occurrence:random_seed=1655610949:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 6.80/1.90 % (2121183)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1288432286:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.80/1.90 % (2121183)Refutation not found, incomplete strategy
% 6.80/1.90 % (2121183)------------------------------
% 6.80/1.90 % (2121183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.80/1.90 % (2121183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.80/1.90 % (2121183)CaDiCaL version: 2.1.3
% 6.80/1.90 % (2121183)Termination reason: Refutation not found, incomplete strategy
% 6.80/1.90 % (2121183)Time elapsed: 0.003 s
% 6.80/1.90 % (2121183)Peak memory usage: 88 MB
% 6.80/1.90 % (2121183)Instructions burned: 4 (million)
% 6.80/1.90 % (2121185)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=626856915:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.80/1.90 % (2121153)Refutation found. Thanks to Tanya!
% 6.80/1.90 % SZS status Theorem for theBenchmark
% 6.80/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 8.05/2.08 % (2121153)------------------------------
% 8.05/2.08 % (2121153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.05/2.08 % (2121153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.05/2.08 % (2121153)CaDiCaL version: 2.1.3
% 8.05/2.08 % (2121153)Termination reason: Refutation
% 8.05/2.08 % (2121153)Time elapsed: 0.647 s
% 8.05/2.08 % (2121153)Peak memory usage: 129 MB
% 8.05/2.08 % (2121153)Instructions burned: 977 (million)
% 8.05/2.08 % (2121153)------------------------------
% 8.05/2.08 % (2121153)------------------------------
% 8.05/2.08 % (2121148)Success in time 1.057 s
% 8.05/2.08 % Vampire exiting
%------------------------------------------------------------------------------