%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG122+4 : 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 : n011.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 12:35:36 PM UTC 2026
% Result : Theorem 7.37s 1.88s
% Output : Refutation 9.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 94 ( 30 unt; 8 def)
% Number of atoms : 198 ( 42 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 185 ( 81 ~; 77 |; 16 &)
% ( 5 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 11 con; 0-2 aty)
% Number of variables : 43 ( 0 sgn 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
fof(f5,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> aElement0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
fof(f9,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).
fof(f39,axiom,
( aElement0(xa)
& aElement0(xb) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2091) ).
fof(f47,axiom,
? [X0,X1] :
( aElement0(X0)
& aElement0(X1)
& xu = sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xb,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2416) ).
fof(f50,axiom,
( aElement0(xq)
& aElement0(xr)
& xb = sdtpldt0(sdtasdt0(xq,xu),xr)
& ( xr = sz00
| iLess0(sbrdtbr0(xr),sbrdtbr0(xu)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2666) ).
fof(f54,conjecture,
xr = sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f55,negated_conjecture,
xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(negated_conjecture,[status(cth)],[f54]) ).
fof(f71,plain,
xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(flattening,[],[f55]) ).
fof(f73,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f74,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f75,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f74]) ).
fof(f76,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f77,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f76]) ).
fof(f80,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f81,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f83,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f186,plain,
( aElement0(sK43)
& aElement0(sK44)
& xu = sdtpldt0(sdtasdt0(xa,sK43),sdtasdt0(xb,sK44)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK43,sK44]),skolemize(X0,sK43),skolemize(X1,sK44)],[f47]) ).
fof(f192,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f193,plain,
! [X0,X1] :
( aElement0(sdtpldt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f194,plain,
! [X0,X1] :
( aElement0(sdtasdt0(X0,X1))
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f81]) ).
fof(f197,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f82]) ).
fof(f199,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f281,plain,
aElement0(xb),
inference(cnf_transformation,[],[f39]) ).
fof(f282,plain,
aElement0(xa),
inference(cnf_transformation,[],[f39]) ).
fof(f355,plain,
xu = sdtpldt0(sdtasdt0(xa,sK43),sdtasdt0(xb,sK44)),
inference(cnf_transformation,[],[f186]) ).
fof(f356,plain,
aElement0(sK44),
inference(cnf_transformation,[],[f186]) ).
fof(f357,plain,
aElement0(sK43),
inference(cnf_transformation,[],[f186]) ).
fof(f364,plain,
xb = sdtpldt0(sdtasdt0(xq,xu),xr),
inference(cnf_transformation,[],[f50]) ).
fof(f365,plain,
aElement0(xr),
inference(cnf_transformation,[],[f50]) ).
fof(f366,plain,
aElement0(xq),
inference(cnf_transformation,[],[f50]) ).
fof(f379,plain,
xr != sdtpldt0(smndt0(sdtasdt0(xq,xu)),xb),
inference(cnf_transformation,[],[f71]) ).
fof(f398,definition,
sF52 = sdtasdt0(xq,xu),
introduced(definition,[new_symbols(definition,[sF52])],[function_definition]) ).
fof(f399,plain,
sdtasdt0(xq,xu) = sF52,
inference(reorient_equations,[],[f398]) ).
fof(f400,definition,
sF53 = smndt0(sF52),
introduced(definition,[new_symbols(definition,[sF53])],[function_definition]) ).
fof(f401,plain,
smndt0(sF52) = sF53,
inference(reorient_equations,[],[f400]) ).
fof(f402,definition,
sF54 = sdtpldt0(sF53,xb),
introduced(definition,[new_symbols(definition,[sF54])],[function_definition]) ).
fof(f403,plain,
sdtpldt0(sF53,xb) = sF54,
inference(reorient_equations,[],[f402]) ).
fof(f404,plain,
xr != sF54,
inference(definition_folding,[],[f379,f403,f401,f399]) ).
fof(f438,plain,
xr = sdtpldt0(sz00,xr),
inference(resolution,[],[f197,f365]) ).
fof(f443,plain,
( aElement0(sF53)
| ~ aElement0(sF52) ),
inference(superposition,[],[f192,f401]) ).
fof(f445,definition,
( spl55_7
<=> aElement0(sF52) ),
introduced(definition,[new_symbols(definition,[spl55_7])],[avatar_definition]) ).
fof(f446,plain,
( aElement0(sF52)
| ~ spl55_7 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f447,plain,
( ~ aElement0(sF52)
| spl55_7 ),
inference(avatar_component_clause,[],[f445]) ).
fof(f449,definition,
( spl55_8
<=> aElement0(sF53) ),
introduced(definition,[new_symbols(definition,[spl55_8])],[avatar_definition]) ).
fof(f451,plain,
( aElement0(sF53)
| ~ spl55_8 ),
inference(avatar_component_clause,[],[f449]) ).
fof(f452,plain,
( ~ spl55_7
| spl55_8 ),
inference(avatar_split_clause,[],[f443,f449,f445]) ).
fof(f453,plain,
xb = sdtpldt0(sF52,xr),
inference(superposition,[],[f364,f399]) ).
fof(f480,plain,
( aElement0(xu)
| ~ aElement0(sdtasdt0(xa,sK43))
| ~ aElement0(sdtasdt0(xb,sK44)) ),
inference(superposition,[],[f193,f355]) ).
fof(f498,definition,
( spl55_12
<=> aElement0(sdtasdt0(xb,sK44)) ),
introduced(definition,[new_symbols(definition,[spl55_12])],[avatar_definition]) ).
fof(f500,plain,
( ~ aElement0(sdtasdt0(xb,sK44))
| spl55_12 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f502,definition,
( spl55_13
<=> aElement0(sdtasdt0(xa,sK43)) ),
introduced(definition,[new_symbols(definition,[spl55_13])],[avatar_definition]) ).
fof(f504,plain,
( ~ aElement0(sdtasdt0(xa,sK43))
| spl55_13 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f506,definition,
( spl55_14
<=> aElement0(xu) ),
introduced(definition,[new_symbols(definition,[spl55_14])],[avatar_definition]) ).
fof(f509,plain,
( ~ spl55_12
| ~ spl55_13
| spl55_14 ),
inference(avatar_split_clause,[],[f480,f506,f502,f498]) ).
fof(f520,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,X1),xr) = sdtpldt0(X0,sdtpldt0(X1,xr)) ),
inference(resolution,[],[f196,f365]) ).
fof(f596,plain,
( ~ aElement0(xa)
| ~ aElement0(sK43)
| spl55_13 ),
inference(resolution,[],[f194,f504]) ).
fof(f610,plain,
( aElement0(sF52)
| ~ aElement0(xq)
| ~ aElement0(xu) ),
inference(superposition,[],[f194,f399]) ).
fof(f611,plain,
( ~ aElement0(xq)
| ~ aElement0(xu)
| spl55_7 ),
inference(forward_subsumption_resolution,[],[f610,f447]) ).
fof(f612,plain,
( ~ aElement0(sK43)
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f596,f282]) ).
fof(f613,plain,
( ~ aElement0(xu)
| spl55_7 ),
inference(forward_subsumption_resolution,[],[f611,f366]) ).
fof(f614,plain,
( $false
| spl55_13 ),
inference(forward_subsumption_resolution,[],[f612,f357]) ).
fof(f615,plain,
spl55_13,
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f616,plain,
( ~ spl55_14
| spl55_7 ),
inference(avatar_split_clause,[],[f613,f445,f506]) ).
fof(f617,plain,
( ~ aElement0(xb)
| ~ aElement0(sK44)
| spl55_12 ),
inference(resolution,[],[f500,f194]) ).
fof(f618,plain,
( ~ aElement0(sK44)
| spl55_12 ),
inference(forward_subsumption_resolution,[],[f617,f281]) ).
fof(f619,plain,
( $false
| spl55_12 ),
inference(forward_subsumption_resolution,[],[f618,f356]) ).
fof(f620,plain,
spl55_12,
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f655,plain,
( sz00 = sdtpldt0(smndt0(sF52),sF52)
| ~ spl55_7 ),
inference(resolution,[],[f446,f199]) ).
fof(f662,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(sdtpldt0(X0,sF52),xr) = sdtpldt0(X0,sdtpldt0(sF52,xr)) )
| ~ spl55_7 ),
inference(resolution,[],[f446,f520]) ).
fof(f664,plain,
( ! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,xb) = sdtpldt0(sdtpldt0(X0,sF52),xr) )
| ~ spl55_7 ),
inference(forward_demodulation,[],[f662,f453]) ).
fof(f666,plain,
( sz00 = sdtpldt0(sF53,sF52)
| ~ spl55_7 ),
inference(forward_demodulation,[],[f655,f401]) ).
fof(f1869,plain,
( sdtpldt0(sF53,xb) = sdtpldt0(sdtpldt0(sF53,sF52),xr)
| ~ spl55_7
| ~ spl55_8 ),
inference(resolution,[],[f664,f451]) ).
fof(f1872,plain,
( sdtpldt0(sF53,xb) = sdtpldt0(sz00,xr)
| ~ spl55_7
| ~ spl55_8 ),
inference(forward_demodulation,[],[f1869,f666]) ).
fof(f1883,plain,
( xr = sdtpldt0(sF53,xb)
| ~ spl55_7
| ~ spl55_8 ),
inference(forward_demodulation,[],[f1872,f438]) ).
fof(f1892,plain,
( xr = sF54
| ~ spl55_7
| ~ spl55_8 ),
inference(forward_demodulation,[],[f1883,f403]) ).
fof(f1893,plain,
( $false
| ~ spl55_7
| ~ spl55_8 ),
inference(forward_subsumption_resolution,[],[f1892,f404]) ).
fof(f1894,plain,
( ~ spl55_7
| ~ spl55_8 ),
inference(avatar_contradiction_clause,[],[f1893]) ).
cnf(s6,plain,
( ~ spl55_7
| spl55_8 ),
inference(sat_conversion,[],[f452]) ).
cnf(s8,plain,
( ~ spl55_12
| ~ spl55_13
| spl55_14 ),
inference(sat_conversion,[],[f509]) ).
cnf(s11,plain,
spl55_13,
inference(sat_conversion,[],[f615]) ).
cnf(s12,plain,
( spl55_7
| ~ spl55_14 ),
inference(sat_conversion,[],[f616]) ).
cnf(s13,plain,
spl55_12,
inference(sat_conversion,[],[f620]) ).
cnf(s38,plain,
( ~ spl55_7
| ~ spl55_8 ),
inference(sat_conversion,[],[f1894]) ).
cnf(s41,plain,
spl55_14,
inference(rat,[],[s8,s11,s13]) ).
cnf(s44,plain,
spl55_7,
inference(rat,[],[s12,s41]) ).
cnf(s46,plain,
~ spl55_8,
inference(rat,[],[s38,s44]) ).
cnf(s47,plain,
$false,
inference(rat,[],[s6,s46,s44]) ).
fof(f1895,plain,
$false,
inference(avatar_sat_refutation,[],[s47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : RNG122+4 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 23:22:01 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 7.37/1.88 % (2875619)Detected formulas, will run a generic FOF schedule.
% 7.37/1.88 % (2875629)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=234586927:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.37/1.88 % (2875624)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=2218159816:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.37/1.88 % (2875627)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=767673330:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.37/1.88 % (2875630)dis-21_1_sil=8000:lcm=predicate:random_seed=2682501543: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)
% 7.37/1.88 % (2875628)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1578956226:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.37/1.88 % (2875625)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=767215053:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.37/1.88 % (2875626)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=1459782756:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.37/1.88 % (2875627)Instruction limit reached!
% 7.37/1.88 % (2875627)------------------------------
% 7.37/1.88 % (2875627)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875627)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875627)Termination reason: Instruction limit
% 7.37/1.88 % (2875627)Termination phase: Saturation
% 7.37/1.88 % (2875627)Time elapsed: 0.067 s
% 7.37/1.88 % (2875627)Peak memory usage: 89 MB
% 7.37/1.88 % (2875627)Instructions burned: 110 (million)
% 7.37/1.88 % (2875630)Instruction limit reached!
% 7.37/1.88 % (2875630)------------------------------
% 7.37/1.88 % (2875630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875630)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875630)Termination reason: Instruction limit
% 7.37/1.88 % (2875630)Termination phase: Saturation
% 7.37/1.88 % (2875630)Time elapsed: 0.067 s
% 7.37/1.88 % (2875630)Peak memory usage: 91 MB
% 7.37/1.88 % (2875630)Instructions burned: 130 (million)
% 7.37/1.88 % (2875628)Instruction limit reached!
% 7.37/1.88 % (2875628)------------------------------
% 7.37/1.88 % (2875628)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875628)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875628)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875628)Termination reason: Instruction limit
% 7.37/1.88 % (2875628)Termination phase: Saturation
% 7.37/1.88 % (2875628)Time elapsed: 0.072 s
% 7.37/1.88 % (2875628)Peak memory usage: 89 MB
% 7.37/1.88 % (2875628)Instructions burned: 120 (million)
% 7.37/1.88 % (2875629)Instruction limit reached!
% 7.37/1.88 % (2875629)------------------------------
% 7.37/1.88 % (2875629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875629)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875629)Termination reason: Instruction limit
% 7.37/1.88 % (2875629)Termination phase: Saturation
% 7.37/1.88 % (2875629)Time elapsed: 0.092 s
% 7.37/1.88 % (2875629)Peak memory usage: 90 MB
% 7.37/1.88 % (2875629)Instructions burned: 140 (million)
% 7.37/1.88 % (2875639)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4105315895:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.37/1.88 % (2875638)lrs+10_1_sil=8000:sp=occurrence:random_seed=614911962:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.37/1.88 % (2875639)Instruction limit reached!
% 7.37/1.88 % (2875639)------------------------------
% 7.37/1.88 % (2875639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875639)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875639)Termination reason: Instruction limit
% 7.37/1.88 % (2875639)Termination phase: Saturation
% 7.37/1.88 % (2875639)Time elapsed: 0.041 s
% 7.37/1.88 % (2875639)Peak memory usage: 92 MB
% 7.37/1.88 % (2875639)Instructions burned: 160 (million)
% 7.37/1.88 % (2875640)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1601759927:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 7.37/1.88 % (2875641)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=2343771521:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 7.37/1.88 % (2875645)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3460064599:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 7.37/1.88 % (2875641)Instruction limit reached!
% 7.37/1.88 % (2875641)------------------------------
% 7.37/1.88 % (2875641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875641)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875641)Termination reason: Instruction limit
% 7.37/1.88 % (2875641)Termination phase: Saturation
% 7.37/1.88 % (2875641)Time elapsed: 0.114 s
% 7.37/1.88 % (2875641)Peak memory usage: 95 MB
% 7.37/1.88 % (2875641)Instructions burned: 249 (million)
% 7.37/1.88 % (2875638)Instruction limit reached!
% 7.37/1.88 % (2875638)------------------------------
% 7.37/1.88 % (2875638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875638)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875638)Termination reason: Instruction limit
% 7.37/1.88 % (2875638)Termination phase: Saturation
% 7.37/1.88 % (2875638)Time elapsed: 0.177 s
% 7.37/1.88 % (2875638)Peak memory usage: 93 MB
% 7.37/1.88 % (2875638)Instructions burned: 285 (million)
% 7.37/1.88 % (2875645)Instruction limit reached!
% 7.37/1.88 % (2875645)------------------------------
% 7.37/1.88 % (2875645)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875645)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875645)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875645)Termination reason: Instruction limit
% 7.37/1.88 % (2875645)Termination phase: Saturation
% 7.37/1.88 % (2875645)Time elapsed: 0.097 s
% 7.37/1.88 % (2875645)Peak memory usage: 91 MB
% 7.37/1.88 % (2875645)Instructions burned: 295 (million)
% 7.37/1.88 % (2875640)Instruction limit reached!
% 7.37/1.88 % (2875640)------------------------------
% 7.37/1.88 % (2875640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875640)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875640)Termination reason: Instruction limit
% 7.37/1.88 % (2875640)Termination phase: Saturation
% 7.37/1.88 % (2875640)Time elapsed: 0.200 s
% 7.37/1.88 % (2875640)Peak memory usage: 93 MB
% 7.37/1.88 % (2875640)Instructions burned: 327 (million)
% 7.37/1.88 % (2875650)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2687377901:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 7.37/1.88 % (2875648)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1538192965:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.37/1.88 % (2875649)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2233012815:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 7.37/1.88 % (2875650)Instruction limit reached!
% 7.37/1.88 % (2875650)------------------------------
% 7.37/1.88 % (2875650)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875650)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875650)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875650)Termination reason: Instruction limit
% 7.37/1.88 % (2875650)Termination phase: Saturation
% 7.37/1.88 % (2875650)Time elapsed: 0.036 s
% 7.37/1.88 % (2875650)Peak memory usage: 90 MB
% 7.37/1.88 % (2875650)Instructions burned: 127 (million)
% 7.37/1.88 % (2875651)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=47657333:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 7.37/1.88 % (2875649)Instruction limit reached!
% 7.37/1.88 % (2875649)------------------------------
% 7.37/1.88 % (2875649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875649)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875649)Termination reason: Instruction limit
% 7.37/1.88 % (2875649)Termination phase: Saturation
% 7.37/1.88 % (2875649)Time elapsed: 0.077 s
% 7.37/1.88 % (2875649)Peak memory usage: 91 MB
% 7.37/1.88 % (2875649)Instructions burned: 114 (million)
% 7.37/1.88 % (2875651)Instruction limit reached!
% 7.37/1.88 % (2875651)------------------------------
% 7.37/1.88 % (2875651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875651)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875651)Termination reason: Instruction limit
% 7.37/1.88 % (2875651)Termination phase: Saturation
% 7.37/1.88 % (2875651)Time elapsed: 0.066 s
% 7.37/1.88 % (2875651)Peak memory usage: 89 MB
% 7.37/1.88 % (2875651)Instructions burned: 114 (million)
% 7.37/1.88 % (2875655)lrs+10_1_sil=8000:sp=occurrence:random_seed=1648327135:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 7.37/1.88 % (2875657)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=65066226:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 7.37/1.88 % (2875658)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1145247489:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 7.37/1.88 % (2875624)First to succeed.
% 7.37/1.88 % (2875655)Instruction limit reached!
% 7.37/1.88 % (2875655)------------------------------
% 7.37/1.88 % (2875655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875655)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875655)Termination reason: Instruction limit
% 7.37/1.88 % (2875655)Termination phase: Saturation
% 7.37/1.88 % (2875655)Time elapsed: 0.274 s
% 7.37/1.88 % (2875655)Peak memory usage: 104 MB
% 7.37/1.88 % (2875655)Instructions burned: 907 (million)
% 7.37/1.88 % (2875624)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2875619"
% 7.37/1.88 % (2875662)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=332669054:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 7.37/1.88 % (2875657)Instruction limit reached!
% 7.37/1.88 % (2875657)------------------------------
% 7.37/1.88 % (2875657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875657)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875657)Termination reason: Instruction limit
% 7.37/1.88 % (2875657)Termination phase: Saturation
% 7.37/1.88 % (2875657)Time elapsed: 0.272 s
% 7.37/1.88 % (2875657)Peak memory usage: 93 MB
% 7.37/1.88 % (2875657)Instructions burned: 437 (million)
% 7.37/1.88 % (2875662)Instruction limit reached!
% 7.37/1.88 % (2875662)------------------------------
% 7.37/1.88 % (2875662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.37/1.88 % (2875662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.37/1.88 % (2875662)CaDiCaL version: 2.1.3
% 7.37/1.88 % (2875662)Termination reason: Instruction limit
% 7.37/1.88 % (2875662)Termination phase: Saturation
% 7.37/1.88 % (2875662)Time elapsed: 0.039 s
% 7.37/1.88 % (2875662)Peak memory usage: 93 MB
% 7.37/1.88 % (2875662)Instructions burned: 136 (million)
% 7.37/1.88 % (2875664)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2976757694:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 7.37/1.88 % (2875665)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3485318797:st=3:i=13193:sd=3:ss=axioms_2988 on theBenchmark for (2988ds/13193Mi)
% 7.37/1.88 % (2875624)Refutation found. Thanks to Tanya!
% 7.37/1.88 % SZS status Theorem for theBenchmark
% 7.37/1.88 % SZS output start Proof for theBenchmark
% See solution above
% 9.26/1.98 % (2875624)------------------------------
% 9.26/1.98 % (2875624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.26/1.98 % (2875624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.26/1.98 % (2875624)CaDiCaL version: 2.1.3
% 9.26/1.98 % (2875624)Termination reason: Refutation
% 9.26/1.98 % (2875624)Time elapsed: 0.871 s
% 9.26/1.98 % (2875624)Peak memory usage: 134 MB
% 9.26/1.98 % (2875624)Instructions burned: 1352 (million)
% 9.26/1.98 % (2875624)------------------------------
% 9.26/1.98 % (2875624)------------------------------
% 9.26/1.98 % (2875619)Success in time 1.277 s
% 9.26/1.98 % Vampire exiting
%------------------------------------------------------------------------------