%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG055+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 12:35:18 PM UTC 2026
% Result : Theorem 0.18s 2.13s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 79 ( 33 unt; 8 def)
% Number of atoms : 169 ( 52 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 168 ( 78 ~; 69 |; 15 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 12 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
aScalar0(sz0z00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulSc) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aScalar0(X0)
& aScalar0(X1)
& aScalar0(X2) )
=> ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArith) ).
fof(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
fof(f57,conjecture,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f58,negated_conjecture,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f64,plain,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(flattening,[],[f58]) ).
fof(f73,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f74,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(flattening,[],[f73]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
& sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
& sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
& sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(flattening,[],[f77]) ).
fof(f131,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f133,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f143,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f144,plain,
! [X2,X0,X1] :
( ~ aScalar0(X2)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f78]) ).
fof(f193,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f199,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f202,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f203,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f209,plain,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(cnf_transformation,[],[f64]) ).
fof(f213,definition,
sF2 = sdtasdt0(xP,xP),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f214,plain,
sdtasdt0(xP,xP) = sF2,
inference(reorient_equations,[],[f213]) ).
fof(f215,definition,
sF3 = sdtasdt0(xH,xH),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f216,plain,
sdtasdt0(xH,xH) = sF3,
inference(reorient_equations,[],[f215]) ).
fof(f217,definition,
sF4 = sdtasdt0(xE,xE),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f218,plain,
sdtasdt0(xE,xE) = sF4,
inference(reorient_equations,[],[f217]) ).
fof(f219,definition,
sF5 = sdtasdt0(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f220,plain,
sdtasdt0(sF3,sF4) = sF5,
inference(reorient_equations,[],[f219]) ).
fof(f221,plain,
sF2 != sF5,
inference(definition_folding,[],[f209,f220,f218,f216,f214]) ).
fof(f223,definition,
( spl6_1
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f224,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f226,definition,
( spl6_2
<=> ! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X1)
| ~ aScalar0(X0) ) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f227,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f226]) ).
fof(f228,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f143,f226,f223]) ).
fof(f238,plain,
( aScalar0(sF4)
| ~ aScalar0(xE)
| ~ aScalar0(xE) ),
inference(superposition,[],[f133,f218]) ).
fof(f239,plain,
( aScalar0(sF3)
| ~ aScalar0(xH)
| ~ aScalar0(xH) ),
inference(superposition,[],[f133,f216]) ).
fof(f243,plain,
( aScalar0(sF3)
| ~ aScalar0(xH) ),
inference(duplicate_literal_removal,[],[f239]) ).
fof(f244,plain,
( aScalar0(sF4)
| ~ aScalar0(xE) ),
inference(duplicate_literal_removal,[],[f238]) ).
fof(f246,definition,
( spl6_5
<=> aScalar0(sF4) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f247,plain,
( aScalar0(sF4)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f250,definition,
( spl6_6
<=> aScalar0(sF3) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f251,plain,
( aScalar0(sF3)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f250]) ).
fof(f259,plain,
aScalar0(sF3),
inference(forward_subsumption_resolution,[],[f243,f199]) ).
fof(f260,plain,
aScalar0(sF4),
inference(forward_subsumption_resolution,[],[f244,f193]) ).
fof(f261,plain,
spl6_6,
inference(avatar_split_clause,[],[f259,f250]) ).
fof(f262,plain,
spl6_5,
inference(avatar_split_clause,[],[f260,f246]) ).
fof(f266,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0) )
| ~ spl6_2 ),
inference(resolution,[],[f227,f203]) ).
fof(f267,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtasdt0(sF3,X0) )
| ~ spl6_2
| ~ spl6_6 ),
inference(resolution,[],[f227,f251]) ).
fof(f279,plain,
( sdtasdt0(xE,xP) = sdtasdt0(xP,xE)
| ~ spl6_2 ),
inference(resolution,[],[f266,f193]) ).
fof(f316,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xH) = sdtasdt0(X0,sdtasdt0(X1,xH)) ),
inference(resolution,[],[f144,f199]) ).
fof(f324,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xE),xH) = sdtasdt0(X0,sdtasdt0(xE,xH)) ),
inference(resolution,[],[f316,f193]) ).
fof(f325,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xH),xH) = sdtasdt0(X0,sdtasdt0(xH,xH)) ),
inference(resolution,[],[f316,f199]) ).
fof(f334,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtasdt0(sdtasdt0(X0,xH),xH) ),
inference(forward_demodulation,[],[f325,f216]) ).
fof(f335,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(sdtasdt0(X0,xE),xH) ),
inference(forward_demodulation,[],[f324,f202]) ).
fof(f343,plain,
( sdtasdt0(sF4,sF3) = sdtasdt0(sdtasdt0(sF4,xH),xH)
| ~ spl6_5 ),
inference(resolution,[],[f334,f247]) ).
fof(f355,plain,
sdtasdt0(xE,xP) = sdtasdt0(sdtasdt0(xE,xE),xH),
inference(resolution,[],[f335,f193]) ).
fof(f357,plain,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xP,xE),xH),
inference(resolution,[],[f335,f203]) ).
fof(f364,plain,
( sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xE,xP),xH)
| ~ spl6_2 ),
inference(forward_demodulation,[],[f357,f279]) ).
fof(f366,plain,
sdtasdt0(sF4,xH) = sdtasdt0(xE,xP),
inference(forward_demodulation,[],[f355,f218]) ).
fof(f369,plain,
( sF2 = sdtasdt0(sdtasdt0(xE,xP),xH)
| ~ spl6_2 ),
inference(forward_demodulation,[],[f364,f214]) ).
fof(f370,plain,
( sF2 = sdtasdt0(sdtasdt0(sF4,xH),xH)
| ~ spl6_2 ),
inference(forward_demodulation,[],[f369,f366]) ).
fof(f371,plain,
( sF2 = sdtasdt0(sF4,sF3)
| ~ spl6_2
| ~ spl6_5 ),
inference(forward_demodulation,[],[f370,f343]) ).
fof(f403,plain,
( sdtasdt0(sF3,sF4) = sdtasdt0(sF4,sF3)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(resolution,[],[f267,f247]) ).
fof(f405,plain,
( sF2 = sdtasdt0(sF3,sF4)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_demodulation,[],[f403,f371]) ).
fof(f406,plain,
( sF2 = sF5
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_demodulation,[],[f405,f220]) ).
fof(f407,plain,
( $false
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f406,f221]) ).
fof(f408,plain,
( ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(avatar_contradiction_clause,[],[f407]) ).
fof(f412,plain,
( $false
| ~ spl6_1 ),
inference(resolution,[],[f224,f131]) ).
fof(f432,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f412]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f228]) ).
cnf(s5,plain,
spl6_6,
inference(sat_conversion,[],[f261]) ).
cnf(s6,plain,
spl6_5,
inference(sat_conversion,[],[f262]) ).
cnf(s7,plain,
( ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f408]) ).
cnf(s17,plain,
~ spl6_1,
inference(sat_conversion,[],[f432]) ).
cnf(s18,plain,
~ spl6_2,
inference(rat,[],[s7,s6,s5]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s1,s18,s17]) ).
fof(f433,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG055+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 23:02:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.33/1.94 % (651545)Detected formulas, will run a generic FOF schedule.
% 6.33/1.94 % (651551)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=3852777372:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.33/1.94 % (651554)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3177656165:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.33/1.94 % (651556)dis-21_1_sil=8000:lcm=predicate:random_seed=707844082: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)
% 6.33/1.94 % (651550)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=2349531302:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.33/1.94 % (651553)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1892099419:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.33/1.94 % (651555)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2282488268:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.33/1.94 % (651552)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=795971758:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.33/1.94 % (651553)Instruction limit reached!
% 6.33/1.94 % (651553)------------------------------
% 6.33/1.94 % (651553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.94 % (651553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.94 % (651553)CaDiCaL version: 2.1.3
% 6.33/1.94 % (651553)Termination reason: Instruction limit
% 6.33/1.94 % (651553)Termination phase: Saturation
% 6.33/1.94 % (651553)Time elapsed: 0.059 s
% 6.33/1.94 % (651553)Peak memory usage: 89 MB
% 6.33/1.94 % (651553)Instructions burned: 109 (million)
% 6.33/1.94 % (651554)Instruction limit reached!
% 6.33/1.94 % (651554)------------------------------
% 6.33/1.94 % (651554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.94 % (651554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.94 % (651554)CaDiCaL version: 2.1.3
% 6.33/1.94 % (651554)Termination reason: Instruction limit
% 6.33/1.94 % (651554)Termination phase: Saturation
% 6.33/1.94 % (651554)Time elapsed: 0.068 s
% 6.33/1.94 % (651554)Peak memory usage: 88 MB
% 6.33/1.94 % (651554)Instructions burned: 120 (million)
% 6.33/1.94 % (651556)Instruction limit reached!
% 6.33/1.94 % (651556)------------------------------
% 6.33/1.94 % (651556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.94 % (651556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.94 % (651556)CaDiCaL version: 2.1.3
% 6.33/1.94 % (651556)Termination reason: Instruction limit
% 6.33/1.94 % (651556)Termination phase: Saturation
% 6.33/1.94 % (651556)Time elapsed: 0.072 s
% 6.33/1.94 % (651556)Peak memory usage: 89 MB
% 6.33/1.94 % (651556)Instructions burned: 129 (million)
% 6.33/1.94 % (651555)Instruction limit reached!
% 6.33/1.94 % (651555)------------------------------
% 6.33/1.94 % (651555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.94 % (651555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.94 % (651555)CaDiCaL version: 2.1.3
% 6.33/1.94 % (651555)Termination reason: Instruction limit
% 6.33/1.94 % (651555)Termination phase: Saturation
% 6.33/1.94 % (651555)Time elapsed: 0.082 s
% 6.33/1.94 % (651555)Peak memory usage: 89 MB
% 6.33/1.94 % (651555)Instructions burned: 139 (million)
% 6.33/1.94 % (651564)lrs+10_1_sil=8000:sp=occurrence:random_seed=1513579430:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.33/1.94 % (651566)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1483277643:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.33/1.94 % (651565)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4037376932:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.33/1.94 % (651567)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=1077387016:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.33/1.94 % (651565)Instruction limit reached!
% 6.33/1.94 % (651565)------------------------------
% 6.33/1.94 % (651565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.94 % (651565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.94 % (651565)CaDiCaL version: 2.1.3
% 6.33/1.94 % (651565)Termination reason: Instruction limit
% 6.33/1.94 % (651565)Termination phase: Saturation
% 6.33/1.94 % (651565)Time elapsed: 0.070 s
% 6.33/1.94 % (651565)Peak memory usage: 90 MB
% 6.33/1.94 % (651565)Instructions burned: 158 (million)
% 6.33/1.94 % (651567)Instruction limit reached!
% 6.33/1.94 % (651567)------------------------------
% 6.33/1.94 % (651567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.94 % (651567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.94 % (651567)CaDiCaL version: 2.1.3
% 6.33/1.94 % (651567)Termination reason: Instruction limit
% 6.33/1.94 % (651567)Termination phase: Saturation
% 6.33/1.94 % (651567)Time elapsed: 0.121 s
% 6.33/1.94 % (651567)Peak memory usage: 96 MB
% 6.33/1.94 % (651567)Instructions burned: 249 (million)
% 6.33/1.94 % (651564)Instruction limit reached!
% 6.33/1.94 % (651564)------------------------------
% 6.33/1.94 % (651564)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.94 % (651564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.94 % (651564)CaDiCaL version: 2.1.3
% 6.33/1.94 % (651564)Termination reason: Instruction limit
% 6.33/1.94 % (651564)Termination phase: Saturation
% 6.33/1.94 % (651564)Time elapsed: 0.164 s
% 6.33/1.94 % (651564)Peak memory usage: 93 MB
% 6.33/1.94 % (651564)Instructions burned: 286 (million)
% 6.33/1.94 % (651566)Instruction limit reached!
% 6.33/1.94 % (651566)------------------------------
% 6.33/1.94 % (651566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.94 % (651566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.94 % (651566)CaDiCaL version: 2.1.3
% 6.33/1.94 % (651566)Termination reason: Instruction limit
% 6.33/1.94 % (651566)Termination phase: Saturation
% 6.33/1.94 % (651566)Time elapsed: 0.181 s
% 6.33/1.94 % (651566)Peak memory usage: 94 MB
% 6.33/1.94 % (651566)Instructions burned: 325 (million)
% 6.33/1.94 % (651572)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2231482024:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.33/1.94 % (651574)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3475136568:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.33/1.94 % (651573)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=884259236:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.33/1.94 % (651574)Instruction limit reached!
% 6.33/1.94 % (651574)------------------------------
% 6.33/1.94 % (651574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.94 % (651574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.94 % (651574)CaDiCaL version: 2.1.3
% 6.33/1.94 % (651574)Termination reason: Instruction limit
% 6.33/1.94 % (651574)Termination phase: Saturation
% 6.33/1.94 % (651574)Time elapsed: 0.040 s
% 6.33/1.94 % (651574)Peak memory usage: 91 MB
% 6.33/1.94 % (651574)Instructions burned: 114 (million)
% 6.33/1.94 % (651575)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4236228644:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.33/1.94 % (651579)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2546029576:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.33/1.94 % (651575)Instruction limit reached!
% 6.33/1.94 % (651575)------------------------------
% 6.33/1.94 % (651575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.94 % (651575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.94 % (651575)CaDiCaL version: 2.1.3
% 6.33/1.94 % (651575)Termination reason: Instruction limit
% 6.33/1.94 % (651575)Termination phase: Saturation
% 6.33/1.94 % (651575)Time elapsed: 0.068 s
% 6.33/1.94 % (651575)Peak memory usage: 89 MB
% 6.33/1.94 % (651575)Instructions burned: 128 (million)
% 6.33/1.94 % (651572)Instruction limit reached!
% 6.33/1.94 % (651572)------------------------------
% 6.33/1.94 % (651572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.33/1.94 % (651572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.33/1.94 % (651572)CaDiCaL version: 2.1.3
% 6.33/1.94 % (651572)Termination reason: Instruction limit
% 0.18/2.13 % (651572)Termination phase: Saturation
% 0.18/2.13 % (651572)Time elapsed: 0.172 s
% 0.18/2.13 % (651572)Peak memory usage: 90 MB
% 0.18/2.13 % (651572)Instructions burned: 295 (million)
% 0.18/2.13 % (651579)Instruction limit reached!
% 0.18/2.13 % (651579)------------------------------
% 0.18/2.13 % (651579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.13 % (651579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.13 % (651579)CaDiCaL version: 2.1.3
% 0.18/2.13 % (651579)Termination reason: Instruction limit
% 0.18/2.13 % (651579)Termination phase: Saturation
% 0.18/2.13 % (651579)Time elapsed: 0.034 s
% 0.18/2.13 % (651579)Peak memory usage: 89 MB
% 0.18/2.13 % (651579)Instructions burned: 118 (million)
% 0.18/2.13 % (651550)First to succeed.
% 0.18/2.13 % (651550)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-651545"
% 0.18/2.13 % (651584)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2820955832:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 0.18/2.13 % (651583)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3295548052:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 0.18/2.13 % (651582)lrs+10_1_sil=8000:sp=occurrence:random_seed=1089041460:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 0.18/2.13 % (651583)Also succeeded, but the first one will report.
% 0.18/2.13 % (651550)Refutation found. Thanks to Tanya!
% 0.18/2.13 % SZS status Theorem for theBenchmark
% 0.18/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/2.13 % (651550)------------------------------
% 0.18/2.13 % (651550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.18/2.13 % (651550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/2.13 % (651550)CaDiCaL version: 2.1.3
% 0.18/2.13 % (651550)Termination reason: Refutation
% 0.18/2.13 % (651550)Time elapsed: 0.662 s
% 0.18/2.13 % (651550)Peak memory usage: 130 MB
% 0.18/2.13 % (651550)Instructions burned: 984 (million)
% 0.18/2.13 % (651550)------------------------------
% 0.18/2.13 % (651550)------------------------------
% 0.18/2.13 % (651545)Success in time 1.085 s
% 0.18/2.13 % Vampire exiting
%------------------------------------------------------------------------------