%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG055+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 : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:35:18 PM UTC 2026
% Result : Theorem 5.71s 1.67s
% Output : Refutation 7.66s
% 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/sandbox/benchmark/theBenchmark.p',mSZeroSc) ).
fof(f11,axiom,
! [X0,X1] :
( ( aScalar0(X0)
& aScalar0(X1) )
=> aScalar0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mArith) ).
fof(f48,axiom,
( aScalar0(xE)
& xE = sdtasasdt0(xp,xq) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
fof(f51,axiom,
( aScalar0(xH)
& xH = sdtasdt0(xA,xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
fof(f53,axiom,
( aScalar0(xP)
& xP = sdtasdt0(xE,xH) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
fof(f57,conjecture,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
file('/export/starexec/sandbox/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(f133,plain,
aScalar0(sz0z00),
inference(cnf_transformation,[],[f9]) ).
fof(f135,plain,
! [X0,X1] :
( aScalar0(sdtasdt0(X0,X1))
| ~ aScalar0(X0)
| ~ aScalar0(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f145,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0)
| ~ aScalar0(X1)
| ~ aScalar0(X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f146,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(f199,plain,
aScalar0(xE),
inference(cnf_transformation,[],[f48]) ).
fof(f205,plain,
aScalar0(xH),
inference(cnf_transformation,[],[f51]) ).
fof(f208,plain,
xP = sdtasdt0(xE,xH),
inference(cnf_transformation,[],[f53]) ).
fof(f209,plain,
aScalar0(xP),
inference(cnf_transformation,[],[f53]) ).
fof(f215,plain,
sdtasdt0(xP,xP) != sdtasdt0(sdtasdt0(xH,xH),sdtasdt0(xE,xE)),
inference(cnf_transformation,[],[f64]) ).
fof(f219,definition,
sF2 = sdtasdt0(xP,xP),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f220,plain,
sdtasdt0(xP,xP) = sF2,
inference(reorient_equations,[],[f219]) ).
fof(f221,definition,
sF3 = sdtasdt0(xH,xH),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f222,plain,
sdtasdt0(xH,xH) = sF3,
inference(reorient_equations,[],[f221]) ).
fof(f223,definition,
sF4 = sdtasdt0(xE,xE),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f224,plain,
sdtasdt0(xE,xE) = sF4,
inference(reorient_equations,[],[f223]) ).
fof(f225,definition,
sF5 = sdtasdt0(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f226,plain,
sdtasdt0(sF3,sF4) = sF5,
inference(reorient_equations,[],[f225]) ).
fof(f227,plain,
sF2 != sF5,
inference(definition_folding,[],[f215,f226,f224,f222,f220]) ).
fof(f229,definition,
( spl6_1
<=> ! [X2] : ~ aScalar0(X2) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f230,plain,
( ! [X2] : ~ aScalar0(X2)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,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(f233,plain,
( ! [X0,X1] :
( ~ aScalar0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aScalar0(X0) )
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( spl6_1
| spl6_2 ),
inference(avatar_split_clause,[],[f145,f232,f229]) ).
fof(f244,plain,
( aScalar0(sF4)
| ~ aScalar0(xE)
| ~ aScalar0(xE) ),
inference(superposition,[],[f135,f224]) ).
fof(f245,plain,
( aScalar0(sF3)
| ~ aScalar0(xH)
| ~ aScalar0(xH) ),
inference(superposition,[],[f135,f222]) ).
fof(f249,plain,
( aScalar0(sF3)
| ~ aScalar0(xH) ),
inference(duplicate_literal_removal,[],[f245]) ).
fof(f250,plain,
( aScalar0(sF4)
| ~ aScalar0(xE) ),
inference(duplicate_literal_removal,[],[f244]) ).
fof(f252,definition,
( spl6_5
<=> aScalar0(sF4) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f253,plain,
( aScalar0(sF4)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f252]) ).
fof(f256,definition,
( spl6_6
<=> aScalar0(sF3) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f257,plain,
( aScalar0(sF3)
| ~ spl6_6 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f265,plain,
aScalar0(sF3),
inference(forward_subsumption_resolution,[],[f249,f205]) ).
fof(f266,plain,
aScalar0(sF4),
inference(forward_subsumption_resolution,[],[f250,f199]) ).
fof(f267,plain,
spl6_6,
inference(avatar_split_clause,[],[f265,f256]) ).
fof(f268,plain,
spl6_5,
inference(avatar_split_clause,[],[f266,f252]) ).
fof(f272,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(xP,X0) )
| ~ spl6_2 ),
inference(resolution,[],[f233,f209]) ).
fof(f273,plain,
( ! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtasdt0(sF3,X0) )
| ~ spl6_2
| ~ spl6_6 ),
inference(resolution,[],[f233,f257]) ).
fof(f285,plain,
( sdtasdt0(xE,xP) = sdtasdt0(xP,xE)
| ~ spl6_2 ),
inference(resolution,[],[f272,f199]) ).
fof(f322,plain,
! [X0,X1] :
( ~ aScalar0(X1)
| ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xH) = sdtasdt0(X0,sdtasdt0(X1,xH)) ),
inference(resolution,[],[f146,f205]) ).
fof(f330,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xE),xH) = sdtasdt0(X0,sdtasdt0(xE,xH)) ),
inference(resolution,[],[f322,f199]) ).
fof(f331,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(sdtasdt0(X0,xH),xH) = sdtasdt0(X0,sdtasdt0(xH,xH)) ),
inference(resolution,[],[f322,f205]) ).
fof(f340,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,sF3) = sdtasdt0(sdtasdt0(X0,xH),xH) ),
inference(forward_demodulation,[],[f331,f222]) ).
fof(f341,plain,
! [X0] :
( ~ aScalar0(X0)
| sdtasdt0(X0,xP) = sdtasdt0(sdtasdt0(X0,xE),xH) ),
inference(forward_demodulation,[],[f330,f208]) ).
fof(f349,plain,
( sdtasdt0(sF4,sF3) = sdtasdt0(sdtasdt0(sF4,xH),xH)
| ~ spl6_5 ),
inference(resolution,[],[f340,f253]) ).
fof(f361,plain,
sdtasdt0(xE,xP) = sdtasdt0(sdtasdt0(xE,xE),xH),
inference(resolution,[],[f341,f199]) ).
fof(f363,plain,
sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xP,xE),xH),
inference(resolution,[],[f341,f209]) ).
fof(f370,plain,
( sdtasdt0(xP,xP) = sdtasdt0(sdtasdt0(xE,xP),xH)
| ~ spl6_2 ),
inference(forward_demodulation,[],[f363,f285]) ).
fof(f372,plain,
sdtasdt0(sF4,xH) = sdtasdt0(xE,xP),
inference(forward_demodulation,[],[f361,f224]) ).
fof(f375,plain,
( sF2 = sdtasdt0(sdtasdt0(xE,xP),xH)
| ~ spl6_2 ),
inference(forward_demodulation,[],[f370,f220]) ).
fof(f376,plain,
( sF2 = sdtasdt0(sdtasdt0(sF4,xH),xH)
| ~ spl6_2 ),
inference(forward_demodulation,[],[f375,f372]) ).
fof(f377,plain,
( sF2 = sdtasdt0(sF4,sF3)
| ~ spl6_2
| ~ spl6_5 ),
inference(forward_demodulation,[],[f376,f349]) ).
fof(f419,plain,
( sdtasdt0(sF3,sF4) = sdtasdt0(sF4,sF3)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(resolution,[],[f273,f253]) ).
fof(f421,plain,
( sF2 = sdtasdt0(sF3,sF4)
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_demodulation,[],[f419,f377]) ).
fof(f422,plain,
( sF2 = sF5
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_demodulation,[],[f421,f226]) ).
fof(f423,plain,
( $false
| ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(forward_subsumption_resolution,[],[f422,f227]) ).
fof(f424,plain,
( ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(avatar_contradiction_clause,[],[f423]) ).
fof(f428,plain,
( $false
| ~ spl6_1 ),
inference(resolution,[],[f230,f133]) ).
fof(f450,plain,
~ spl6_1,
inference(avatar_contradiction_clause,[],[f428]) ).
cnf(s1,plain,
( spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f234]) ).
cnf(s5,plain,
spl6_6,
inference(sat_conversion,[],[f267]) ).
cnf(s6,plain,
spl6_5,
inference(sat_conversion,[],[f268]) ).
cnf(s7,plain,
( ~ spl6_2
| ~ spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f424]) ).
cnf(s18,plain,
~ spl6_1,
inference(sat_conversion,[],[f450]) ).
cnf(s19,plain,
~ spl6_2,
inference(rat,[],[s7,s6,s5]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s19,s18]) ).
fof(f451,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG055+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n003.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:04:42 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 5.71/1.67 % (1031215)Detected formulas, will run a generic FOF schedule.
% 5.71/1.67 % (1031222)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=2176683092:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.71/1.67 % (1031226)dis-21_1_sil=8000:lcm=predicate:random_seed=1096129540: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)
% 5.71/1.67 % (1031223)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1196813087:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.71/1.67 % (1031221)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=2420934913:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.71/1.67 % (1031224)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1273375970:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.71/1.67 % (1031220)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=3928097318:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.71/1.67 % (1031225)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1912275655:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.71/1.67 % (1031223)Instruction limit reached!
% 5.71/1.67 % (1031223)------------------------------
% 5.71/1.67 % (1031223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031223)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031223)Termination reason: Instruction limit
% 5.71/1.67 % (1031223)Termination phase: Saturation
% 5.71/1.67 % (1031223)Time elapsed: 0.067 s
% 5.71/1.67 % (1031223)Peak memory usage: 89 MB
% 5.71/1.67 % (1031223)Instructions burned: 110 (million)
% 5.71/1.67 % (1031224)Instruction limit reached!
% 5.71/1.67 % (1031224)------------------------------
% 5.71/1.67 % (1031224)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031224)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031224)Termination reason: Instruction limit
% 5.71/1.67 % (1031224)Termination phase: Saturation
% 5.71/1.67 % (1031224)Time elapsed: 0.067 s
% 5.71/1.67 % (1031224)Peak memory usage: 88 MB
% 5.71/1.67 % (1031224)Instructions burned: 120 (million)
% 5.71/1.67 % (1031226)Instruction limit reached!
% 5.71/1.67 % (1031226)------------------------------
% 5.71/1.67 % (1031226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031226)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031226)Termination reason: Instruction limit
% 5.71/1.67 % (1031226)Termination phase: Saturation
% 5.71/1.67 % (1031226)Time elapsed: 0.072 s
% 5.71/1.67 % (1031226)Peak memory usage: 89 MB
% 5.71/1.67 % (1031226)Instructions burned: 129 (million)
% 5.71/1.67 % (1031225)Instruction limit reached!
% 5.71/1.67 % (1031225)------------------------------
% 5.71/1.67 % (1031225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031225)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031225)Termination reason: Instruction limit
% 5.71/1.67 % (1031225)Termination phase: Saturation
% 5.71/1.67 % (1031225)Time elapsed: 0.083 s
% 5.71/1.67 % (1031225)Peak memory usage: 90 MB
% 5.71/1.67 % (1031225)Instructions burned: 139 (million)
% 5.71/1.67 % (1031237)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=61477736:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.71/1.67 % (1031235)lrs+10_1_sil=32000:urr=on:br=off:random_seed=867313244:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.71/1.67 % (1031234)lrs+10_1_sil=8000:sp=occurrence:random_seed=3003432238:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.71/1.67 % (1031236)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3759140056:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.71/1.67 % (1031237)Instruction limit reached!
% 5.71/1.67 % (1031237)------------------------------
% 5.71/1.67 % (1031237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031237)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031237)Termination reason: Instruction limit
% 5.71/1.67 % (1031237)Termination phase: Saturation
% 5.71/1.67 % (1031237)Time elapsed: 0.066 s
% 5.71/1.67 % (1031237)Peak memory usage: 96 MB
% 5.71/1.67 % (1031237)Instructions burned: 252 (million)
% 5.71/1.67 % (1031235)Instruction limit reached!
% 5.71/1.67 % (1031235)------------------------------
% 5.71/1.67 % (1031235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031235)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031235)Termination reason: Instruction limit
% 5.71/1.67 % (1031235)Termination phase: Saturation
% 5.71/1.67 % (1031235)Time elapsed: 0.069 s
% 5.71/1.67 % (1031235)Peak memory usage: 90 MB
% 5.71/1.67 % (1031235)Instructions burned: 158 (million)
% 5.71/1.67 % (1031242)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4166499603:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 5.71/1.67 % (1031234)Instruction limit reached!
% 5.71/1.67 % (1031234)------------------------------
% 5.71/1.67 % (1031234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031234)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031234)Termination reason: Instruction limit
% 5.71/1.67 % (1031234)Termination phase: Saturation
% 5.71/1.67 % (1031234)Time elapsed: 0.166 s
% 5.71/1.67 % (1031234)Peak memory usage: 93 MB
% 5.71/1.67 % (1031234)Instructions burned: 285 (million)
% 5.71/1.67 % (1031243)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3706693496:i=2350_2996 on theBenchmark for (2996ds/2350Mi)
% 5.71/1.67 % (1031236)Instruction limit reached!
% 5.71/1.67 % (1031236)------------------------------
% 5.71/1.67 % (1031236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031236)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031236)Termination reason: Instruction limit
% 5.71/1.67 % (1031236)Termination phase: Saturation
% 5.71/1.67 % (1031236)Time elapsed: 0.194 s
% 5.71/1.67 % (1031236)Peak memory usage: 94 MB
% 5.71/1.67 % (1031236)Instructions burned: 325 (million)
% 5.71/1.67 % (1031242)Instruction limit reached!
% 5.71/1.67 % (1031242)------------------------------
% 5.71/1.67 % (1031242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031242)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031242)Termination reason: Instruction limit
% 5.71/1.67 % (1031242)Termination phase: Saturation
% 5.71/1.67 % (1031242)Time elapsed: 0.092 s
% 5.71/1.67 % (1031242)Peak memory usage: 90 MB
% 5.71/1.67 % (1031242)Instructions burned: 295 (million)
% 5.71/1.67 % (1031245)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4173053477:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 5.71/1.67 % (1031248)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2197223800:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 5.71/1.67 % (1031247)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3880755957:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 5.71/1.67 % (1031248)Instruction limit reached!
% 5.71/1.67 % (1031248)------------------------------
% 5.71/1.67 % (1031248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031248)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031248)Termination reason: Instruction limit
% 5.71/1.67 % (1031248)Termination phase: Saturation
% 5.71/1.67 % (1031248)Time elapsed: 0.033 s
% 5.71/1.67 % (1031248)Peak memory usage: 89 MB
% 5.71/1.67 % (1031248)Instructions burned: 116 (million)
% 5.71/1.67 % (1031245)Instruction limit reached!
% 5.71/1.67 % (1031245)------------------------------
% 5.71/1.67 % (1031245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031245)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031245)Termination reason: Instruction limit
% 5.71/1.67 % (1031245)Termination phase: Saturation
% 5.71/1.67 % (1031245)Time elapsed: 0.074 s
% 5.71/1.67 % (1031245)Peak memory usage: 91 MB
% 5.71/1.67 % (1031245)Instructions burned: 113 (million)
% 5.71/1.67 % (1031247)Instruction limit reached!
% 5.71/1.67 % (1031247)------------------------------
% 5.71/1.67 % (1031247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031247)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031247)Termination reason: Instruction limit
% 5.71/1.67 % (1031247)Termination phase: Saturation
% 5.71/1.67 % (1031247)Time elapsed: 0.066 s
% 5.71/1.67 % (1031247)Peak memory usage: 89 MB
% 5.71/1.67 % (1031247)Instructions burned: 127 (million)
% 5.71/1.67 % (1031252)lrs+10_1_sil=8000:sp=occurrence:random_seed=1210938810:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 5.71/1.67 % (1031220)First to succeed.
% 5.71/1.67 % (1031220)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1031215"
% 5.71/1.67 % (1031253)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2742742849:i=437:sd=1:aac=none:ss=included_2993 on theBenchmark for (2993ds/437Mi)
% 5.71/1.67 % (1031221)Also succeeded, but the first one will report.
% 5.71/1.67 % (1031253)Also succeeded, but the first one will report.
% 5.71/1.67 % (1031254)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3365713665:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 5.71/1.67 % (1031252)Instruction limit reached!
% 5.71/1.67 % (1031252)------------------------------
% 5.71/1.67 % (1031252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.71/1.67 % (1031252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.71/1.67 % (1031252)CaDiCaL version: 2.1.3
% 5.71/1.67 % (1031252)Termination reason: Instruction limit
% 5.71/1.67 % (1031252)Termination phase: Saturation
% 5.71/1.67 % (1031252)Time elapsed: 0.265 s
% 5.71/1.67 % (1031252)Peak memory usage: 101 MB
% 5.71/1.67 % (1031252)Instructions burned: 908 (million)
% 5.71/1.67 % (1031220)Refutation found. Thanks to Tanya!
% 5.71/1.67 % SZS status Theorem for theBenchmark
% 5.71/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 7.66/1.77 % (1031220)------------------------------
% 7.66/1.77 % (1031220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.66/1.77 % (1031220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.66/1.77 % (1031220)CaDiCaL version: 2.1.3
% 7.66/1.77 % (1031220)Termination reason: Refutation
% 7.66/1.77 % (1031220)Time elapsed: 0.654 s
% 7.66/1.77 % (1031220)Peak memory usage: 130 MB
% 7.66/1.77 % (1031220)Instructions burned: 988 (million)
% 7.66/1.77 % (1031220)------------------------------
% 7.66/1.77 % (1031220)------------------------------
% 7.66/1.77 % (1031215)Success in time 1.052 s
% 7.66/1.77 % Vampire exiting
%------------------------------------------------------------------------------