%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : RNG083+1 : 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 : n012.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 12:35:26 PM UTC 2026
% Result : Theorem 3.35s 1.30s
% Output : Refutation 5.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 14
% Syntax : Number of formulae : 88 ( 39 unt; 2 def)
% Number of atoms : 170 ( 81 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 139 ( 57 ~; 54 |; 18 &)
% ( 2 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0] :
( aElement0(X0)
=> aElement0(smndt0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
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(f11,axiom,
! [X0,X1] :
( ( aElement0(X0)
& aElement0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f12,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
fof(f13,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aElement0(X0)
& aElement0(X1)
& aElement0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
fof(f15,axiom,
! [X0] :
( aElement0(X0)
=> ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMnOne) ).
fof(f16,axiom,
aElement0(xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__468) ).
fof(f17,conjecture,
( sdtasdt0(xx,sz00) = sz00
& sz00 = sdtasdt0(sz00,xx) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f18,negated_conjecture,
~ ( sdtasdt0(xx,sz00) = sz00
& sz00 = sdtasdt0(sz00,xx) ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f20,plain,
! [X0] :
( aElement0(smndt0(X0))
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f30,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f31,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f32,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aElement0(X0)
| ~ aElement0(X1) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f12]) ).
fof(f34,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2))
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) )
| ~ aElement0(X0)
| ~ aElement0(X1)
| ~ aElement0(X2) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0] :
( ( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
& smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f39,plain,
( sz00 != sdtasdt0(xx,sz00)
| sz00 != sdtasdt0(sz00,xx) ),
inference(ennf_transformation,[],[f18]) ).
fof(f40,plain,
aElement0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f41,plain,
aElement0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f42,plain,
! [X0] :
( ~ aElement0(X0)
| aElement0(smndt0(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f48,plain,
! [X0] :
( ~ aElement0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f29]) ).
fof(f49,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f50,plain,
! [X0] :
( ~ aElement0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f53,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f35]) ).
fof(f55,plain,
! [X2,X0,X1] :
( ~ aElement0(X2)
| ~ aElement0(X0)
| ~ aElement0(X1)
| sdtasdt0(sdtpldt0(X1,X2),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f57,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(X0,smndt0(sz10)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f58,plain,
! [X0] :
( ~ aElement0(X0)
| smndt0(X0) = sdtasdt0(smndt0(sz10),X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f59,plain,
aElement0(xx),
inference(cnf_transformation,[],[f16]) ).
fof(f60,plain,
( sz00 != sdtasdt0(xx,sz00)
| sz00 != sdtasdt0(sz00,xx) ),
inference(cnf_transformation,[],[f39]) ).
fof(f62,definition,
( spl0_1
<=> sz00 = sdtasdt0(sz00,xx) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f63,plain,
( sz00 != sdtasdt0(sz00,xx)
| spl0_1 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f65,definition,
( spl0_2
<=> sz00 = sdtasdt0(xx,sz00) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f66,plain,
( sz00 != sdtasdt0(xx,sz00)
| spl0_2 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f67,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f60,f65,f62]) ).
fof(f71,plain,
sz00 = sdtpldt0(xx,smndt0(xx)),
inference(resolution,[],[f59,f50]) ).
fof(f75,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,xx) = sdtasdt0(xx,X0) ),
inference(resolution,[],[f51,f59]) ).
fof(f76,plain,
sdtasdt0(xx,sz00) = sdtasdt0(sz00,xx),
inference(resolution,[],[f75,f40]) ).
fof(f78,plain,
sz00 = sdtpldt0(smndt0(sz00),sz00),
inference(resolution,[],[f49,f40]) ).
fof(f81,plain,
xx = sdtasdt0(sz10,xx),
inference(resolution,[],[f53,f59]) ).
fof(f83,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,X1),xx) = sdtasdt0(X0,sdtasdt0(X1,xx)) ),
inference(resolution,[],[f52,f59]) ).
fof(f91,plain,
sz00 = sdtpldt0(sz10,smndt0(sz10)),
inference(resolution,[],[f41,f50]) ).
fof(f114,plain,
smndt0(xx) = sdtasdt0(smndt0(sz10),xx),
inference(resolution,[],[f58,f59]) ).
fof(f116,plain,
aElement0(smndt0(sz00)),
inference(resolution,[],[f42,f40]) ).
fof(f117,plain,
aElement0(smndt0(xx)),
inference(resolution,[],[f42,f59]) ).
fof(f118,plain,
aElement0(smndt0(sz10)),
inference(resolution,[],[f42,f41]) ).
fof(f124,plain,
sz00 = sdtpldt0(smndt0(xx),smndt0(smndt0(xx))),
inference(resolution,[],[f117,f50]) ).
fof(f127,plain,
smndt0(xx) = sdtasdt0(sz10,smndt0(xx)),
inference(resolution,[],[f117,f53]) ).
fof(f131,plain,
smndt0(smndt0(xx)) = sdtasdt0(smndt0(sz10),smndt0(xx)),
inference(resolution,[],[f117,f58]) ).
fof(f151,plain,
smndt0(sz00) = sdtpldt0(smndt0(sz00),sz00),
inference(resolution,[],[f116,f48]) ).
fof(f166,plain,
sz00 = smndt0(sz00),
inference(forward_demodulation,[],[f151,f78]) ).
fof(f411,plain,
smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10)),
inference(resolution,[],[f57,f40]) ).
fof(f420,plain,
sz00 = sdtasdt0(sz00,smndt0(sz10)),
inference(forward_demodulation,[],[f411,f166]) ).
fof(f1302,plain,
! [X0,X1] :
( ~ aElement0(X1)
| ~ aElement0(X0)
| sdtasdt0(sdtpldt0(X1,smndt0(sz10)),X0) = sdtpldt0(sdtasdt0(X1,X0),sdtasdt0(smndt0(sz10),X0)) ),
inference(resolution,[],[f118,f55]) ).
fof(f1309,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xx) = sdtasdt0(X0,sdtasdt0(smndt0(sz10),xx)) ),
inference(resolution,[],[f118,f83]) ).
fof(f1392,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(X0,smndt0(xx)) = sdtasdt0(sdtasdt0(X0,smndt0(sz10)),xx) ),
inference(forward_demodulation,[],[f1309,f114]) ).
fof(f1422,plain,
sdtasdt0(sz00,smndt0(xx)) = sdtasdt0(sdtasdt0(sz00,smndt0(sz10)),xx),
inference(resolution,[],[f1392,f40]) ).
fof(f1445,plain,
sdtasdt0(sz00,xx) = sdtasdt0(sz00,smndt0(xx)),
inference(forward_demodulation,[],[f1422,f420]) ).
fof(f1496,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sdtpldt0(sz10,smndt0(sz10)),X0) = sdtpldt0(sdtasdt0(sz10,X0),sdtasdt0(smndt0(sz10),X0)) ),
inference(resolution,[],[f1302,f41]) ).
fof(f1510,plain,
! [X0] :
( ~ aElement0(X0)
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz10,X0),sdtasdt0(smndt0(sz10),X0)) ),
inference(forward_demodulation,[],[f1496,f91]) ).
fof(f1518,plain,
sdtasdt0(sz00,smndt0(xx)) = sdtpldt0(sdtasdt0(sz10,smndt0(xx)),sdtasdt0(smndt0(sz10),smndt0(xx))),
inference(resolution,[],[f1510,f117]) ).
fof(f1524,plain,
sdtasdt0(sz00,xx) = sdtpldt0(sdtasdt0(sz10,xx),sdtasdt0(smndt0(sz10),xx)),
inference(resolution,[],[f1510,f59]) ).
fof(f1525,plain,
sdtasdt0(sz00,xx) = sdtpldt0(sdtasdt0(sz10,xx),smndt0(xx)),
inference(forward_demodulation,[],[f1524,f114]) ).
fof(f1531,plain,
sdtasdt0(sz00,smndt0(xx)) = sdtpldt0(sdtasdt0(sz10,smndt0(xx)),smndt0(smndt0(xx))),
inference(forward_demodulation,[],[f1518,f131]) ).
fof(f1537,plain,
sdtasdt0(sz00,xx) = sdtpldt0(xx,smndt0(xx)),
inference(forward_demodulation,[],[f1525,f81]) ).
fof(f1543,plain,
sdtpldt0(smndt0(xx),smndt0(smndt0(xx))) = sdtasdt0(sz00,smndt0(xx)),
inference(forward_demodulation,[],[f1531,f127]) ).
fof(f1549,plain,
sz00 = sdtasdt0(sz00,xx),
inference(forward_demodulation,[],[f1537,f71]) ).
fof(f1555,plain,
sdtasdt0(sz00,xx) = sdtpldt0(smndt0(xx),smndt0(smndt0(xx))),
inference(forward_demodulation,[],[f1543,f1445]) ).
fof(f1564,plain,
sz00 = sdtasdt0(sz00,xx),
inference(forward_demodulation,[],[f1555,f124]) ).
fof(f1568,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f1564,f63]) ).
fof(f1569,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f1568]) ).
fof(f1571,plain,
( sz00 != sdtasdt0(sz00,xx)
| spl0_2 ),
inference(forward_demodulation,[],[f66,f76]) ).
fof(f1572,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f1571,f1549]) ).
fof(f1573,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f1572]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f67]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f1569]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f1573]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f1574,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : RNG083+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 23:11:04 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.33 Running first-order theorem proving
% 0.06/0.33 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
% 3.35/1.30 % (2866289)Detected formulas, will run a generic FOF schedule.
% 3.35/1.30 % (2866296)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=3403192095:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.35/1.30 % (2866299)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=827040325:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.35/1.30 % (2866300)dis-21_1_sil=8000:lcm=predicate:random_seed=2653673596: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)
% 3.35/1.30 % (2866297)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=976309151:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.35/1.30 % (2866295)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=3182873237:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.35/1.30 % (2866294)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=2468219200:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.35/1.30 % (2866298)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1400541193:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.35/1.30 % (2866297)Refutation not found, incomplete strategy
% 3.35/1.30 % (2866297)------------------------------
% 3.35/1.30 % (2866297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.30 % (2866297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.30 % (2866297)CaDiCaL version: 2.1.3
% 3.35/1.30 % (2866297)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.30 % (2866297)Time elapsed: 0.001 s
% 3.35/1.30 % (2866300)Refutation not found, incomplete strategy
% 3.35/1.30 % (2866300)------------------------------
% 3.35/1.30 % (2866300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.30 % (2866297)Peak memory usage: 88 MB
% 3.35/1.30 % (2866300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.30 % (2866300)CaDiCaL version: 2.1.3
% 3.35/1.30 % (2866300)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.30 % (2866300)Time elapsed: 0.001 s
% 3.35/1.30 % (2866300)Peak memory usage: 88 MB
% 3.35/1.30 % (2866300)Instructions burned: 1 (million)
% 3.35/1.30 % (2866298)Instruction limit reached!
% 3.35/1.30 % (2866298)------------------------------
% 3.35/1.30 % (2866298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.30 % (2866298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.30 % (2866298)CaDiCaL version: 2.1.3
% 3.35/1.30 % (2866298)Termination reason: Instruction limit
% 3.35/1.30 % (2866298)Termination phase: Saturation
% 3.35/1.30 % (2866298)Time elapsed: 0.035 s
% 3.35/1.30 % (2866298)Peak memory usage: 88 MB
% 3.35/1.30 % (2866298)Instructions burned: 121 (million)
% 3.35/1.30 % (2866299)Instruction limit reached!
% 3.35/1.30 % (2866299)------------------------------
% 3.35/1.30 % (2866299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.30 % (2866299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.30 % (2866299)CaDiCaL version: 2.1.3
% 3.35/1.30 % (2866299)Termination reason: Instruction limit
% 3.35/1.30 % (2866299)Termination phase: Saturation
% 3.35/1.30 % (2866299)Time elapsed: 0.045 s
% 3.35/1.30 % (2866299)Peak memory usage: 89 MB
% 3.35/1.30 % (2866299)Instructions burned: 141 (million)
% 3.35/1.30 % (2866300)------------------------------
% 3.35/1.30 % (2866300)------------------------------
% 3.35/1.30 % (2866297)------------------------------
% 3.35/1.30 % (2866297)------------------------------
% 3.35/1.30 % (2866308)lrs+10_1_sil=8000:sp=occurrence:random_seed=1610051261:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.35/1.30 % (2866309)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1220447336:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.35/1.30 % (2866309)Instruction limit reached!
% 3.35/1.30 % (2866309)------------------------------
% 3.35/1.30 % (2866309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.30 % (2866309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.30 % (2866309)CaDiCaL version: 2.1.3
% 3.35/1.30 % (2866309)Termination reason: Instruction limit
% 3.35/1.30 % (2866309)Termination phase: Saturation
% 3.35/1.30 % (2866309)Time elapsed: 0.038 s
% 3.35/1.30 % (2866309)Peak memory usage: 90 MB
% 3.35/1.30 % (2866309)Instructions burned: 159 (million)
% 3.35/1.30 % (2866308)Instruction limit reached!
% 3.35/1.30 % (2866308)------------------------------
% 3.35/1.30 % (2866308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.30 % (2866308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.30 % (2866308)CaDiCaL version: 2.1.3
% 3.35/1.30 % (2866308)Termination reason: Instruction limit
% 3.35/1.30 % (2866308)Termination phase: Saturation
% 3.35/1.30 % (2866308)Time elapsed: 0.089 s
% 3.35/1.30 % (2866308)Peak memory usage: 93 MB
% 3.35/1.30 % (2866308)Instructions burned: 285 (million)
% 3.35/1.30 % (2866311)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=554713099:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 3.35/1.30 % (2866310)lrs+1011_1_sil=32000:sp=occurrence:random_seed=708820658:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.35/1.30 % (2866314)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2149948329:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.35/1.30 % (2866314)Refutation not found, incomplete strategy
% 3.35/1.30 % (2866314)------------------------------
% 3.35/1.30 % (2866314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.30 % (2866314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.30 % (2866314)CaDiCaL version: 2.1.3
% 3.35/1.30 % (2866314)Termination reason: Refutation not found, incomplete strategy
% 3.35/1.30 % (2866314)Time elapsed: 0.001 s
% 3.35/1.30 % (2866314)Peak memory usage: 88 MB
% 3.35/1.30 % (2866314)Instructions burned: 1 (million)
% 3.35/1.30 % (2866311)Instruction limit reached!
% 3.35/1.30 % (2866311)------------------------------
% 3.35/1.30 % (2866311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.30 % (2866311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.30 % (2866311)CaDiCaL version: 2.1.3
% 3.35/1.30 % (2866311)Termination reason: Instruction limit
% 3.35/1.30 % (2866311)Termination phase: Saturation
% 3.35/1.30 % (2866311)Time elapsed: 0.063 s
% 3.35/1.30 % (2866311)Peak memory usage: 94 MB
% 3.35/1.30 % (2866311)Instructions burned: 248 (million)
% 3.35/1.30 % (2866310)Instruction limit reached!
% 3.35/1.30 % (2866310)------------------------------
% 3.35/1.30 % (2866310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.30 % (2866310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.30 % (2866310)CaDiCaL version: 2.1.3
% 3.35/1.30 % (2866310)Termination reason: Instruction limit
% 3.35/1.30 % (2866310)Termination phase: Saturation
% 3.35/1.30 % (2866310)Time elapsed: 0.099 s
% 3.35/1.30 % (2866310)Peak memory usage: 93 MB
% 3.35/1.30 % (2866310)Instructions burned: 325 (million)
% 3.35/1.30 % (2866315)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2493057166:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.35/1.30 % (2866295)First to succeed.
% 3.35/1.30 % (2866295)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2866289"
% 3.35/1.30 % (2866319)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1123531409:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 3.35/1.30 % (2866314)------------------------------
% 3.35/1.30 % (2866314)------------------------------
% 3.35/1.30 % (2866319)Instruction limit reached!
% 3.35/1.30 % (2866319)------------------------------
% 3.35/1.30 % (2866319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.30 % (2866319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.30 % (2866319)CaDiCaL version: 2.1.3
% 3.35/1.30 % (2866319)Termination reason: Instruction limit
% 3.35/1.30 % (2866319)Termination phase: Saturation
% 3.35/1.30 % (2866319)Time elapsed: 0.042 s
% 3.35/1.30 % (2866319)Peak memory usage: 91 MB
% 3.35/1.30 % (2866319)Instructions burned: 115 (million)
% 3.35/1.30 % (2866294)Also succeeded, but the first one will report.
% 3.35/1.30 % (2866320)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2692870183:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 3.35/1.30 % (2866320)Instruction limit reached!
% 3.35/1.30 % (2866320)------------------------------
% 3.35/1.30 % (2866320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.35/1.30 % (2866320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.35/1.30 % (2866320)CaDiCaL version: 2.1.3
% 3.35/1.30 % (2866320)Termination reason: Instruction limit
% 3.35/1.30 % (2866320)Termination phase: Saturation
% 3.35/1.30 % (2866320)Time elapsed: 0.033 s
% 3.35/1.30 % (2866320)Peak memory usage: 88 MB
% 3.35/1.30 % (2866320)Instructions burned: 127 (million)
% 3.35/1.30 % (2866323)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3802586358:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 3.35/1.30 % (2866295)Refutation found. Thanks to Tanya!
% 3.35/1.30 % SZS status Theorem for theBenchmark
% 3.35/1.30 % SZS output start Proof for theBenchmark
% See solution above
% 5.63/1.40 % (2866295)------------------------------
% 5.63/1.40 % (2866295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.40 % (2866295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.40 % (2866295)CaDiCaL version: 2.1.3
% 5.63/1.40 % (2866295)Termination reason: Refutation
% 5.63/1.40 % (2866295)Time elapsed: 0.453 s
% 5.63/1.40 % (2866295)Peak memory usage: 129 MB
% 5.63/1.40 % (2866295)Instructions burned: 1236 (million)
% 5.63/1.40 % (2866295)------------------------------
% 5.63/1.40 % (2866295)------------------------------
% 5.63/1.40 % (2866289)Success in time 0.767 s
% 5.63/1.40 % Vampire exiting
%------------------------------------------------------------------------------