%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM421+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 : n005.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 12:15:06 PM UTC 2026
% Result : Theorem 7.00s 2.01s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 96 ( 35 unt; 4 def)
% Number of atoms : 200 ( 81 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 184 ( 80 ~; 75 |; 18 &)
% ( 2 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 74 ( 0 sgn 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X0)
& aInteger0(X1) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f13,axiom,
! [X0] :
( aInteger0(X0)
=> ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X0)
& aInteger0(X1)
& aInteger0(X2) )
=> ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(f15,axiom,
aInteger0(xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__419) ).
fof(f16,conjecture,
( sdtasdt0(xa,sz00) = sz00
& sz00 = sdtasdt0(sz00,xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f17,negated_conjecture,
~ ( sdtasdt0(xa,sz00) = sz00
& sz00 = sdtasdt0(sz00,xa) ),
inference(negated_conjecture,[status(cth)],[f16]) ).
fof(f19,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f22,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f23,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f25,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f27,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f26]) ).
fof(f28,plain,
! [X0] :
( ( sdtpldt0(X0,sz00) = X0
& X0 = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f29,plain,
! [X0] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00
& sz00 = sdtpldt0(smndt0(X0),X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f32,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0] :
( ( sdtasdt0(X0,sz10) = X0
& X0 = sdtasdt0(sz10,X0) )
| ~ aInteger0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(ennf_transformation,[],[f14]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) )
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
( sz00 != sdtasdt0(xa,sz00)
| sz00 != sdtasdt0(sz00,xa) ),
inference(ennf_transformation,[],[f17]) ).
fof(f38,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f39,plain,
aInteger0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f40,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f42,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X0)
| ~ aInteger0(X1) ),
inference(cnf_transformation,[],[f23]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f25]) ).
fof(f44,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f46,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f28]) ).
fof(f48,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f29]) ).
fof(f50,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f36]) ).
fof(f55,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f15]) ).
fof(f56,plain,
( sz00 != sdtasdt0(xa,sz00)
| sz00 != sdtasdt0(sz00,xa) ),
inference(cnf_transformation,[],[f37]) ).
fof(f57,definition,
sF0 = sdtasdt0(xa,sz00),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f58,plain,
sdtasdt0(xa,sz00) = sF0,
inference(reorient_equations,[],[f57]) ).
fof(f59,definition,
sF1 = sdtasdt0(sz00,xa),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f60,plain,
sdtasdt0(sz00,xa) = sF1,
inference(reorient_equations,[],[f59]) ).
fof(f61,plain,
( sz00 != sF0
| sz00 != sF1 ),
inference(definition_folding,[],[f56,f60,f58]) ).
fof(f63,definition,
( spl2_1
<=> sz00 = sF1 ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f65,plain,
( sz00 != sF1
| spl2_1 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f67,definition,
( spl2_2
<=> sz00 = sF0 ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f69,plain,
( sz00 != sF0
| spl2_2 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f61,f67,f63]) ).
fof(f75,plain,
( aInteger0(sF1)
| ~ aInteger0(sz00)
| ~ aInteger0(xa) ),
inference(superposition,[],[f42,f60]) ).
fof(f76,plain,
( aInteger0(sF0)
| ~ aInteger0(xa)
| ~ aInteger0(sz00) ),
inference(superposition,[],[f42,f58]) ).
fof(f77,plain,
( aInteger0(sF0)
| ~ aInteger0(sz00) ),
inference(forward_subsumption_resolution,[],[f76,f55]) ).
fof(f78,plain,
( aInteger0(sF1)
| ~ aInteger0(xa) ),
inference(forward_subsumption_resolution,[],[f75,f38]) ).
fof(f79,plain,
aInteger0(sF0),
inference(forward_subsumption_resolution,[],[f77,f38]) ).
fof(f80,plain,
aInteger0(sF1),
inference(forward_subsumption_resolution,[],[f78,f55]) ).
fof(f85,plain,
sz00 = sdtpldt0(xa,smndt0(xa)),
inference(resolution,[],[f48,f55]) ).
fof(f93,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,xa) = sdtasdt0(xa,X0) ),
inference(resolution,[],[f50,f55]) ).
fof(f100,plain,
sF0 = sdtpldt0(sF0,sz00),
inference(resolution,[],[f79,f46]) ).
fof(f135,plain,
sdtasdt0(xa,sz00) = sdtasdt0(sz00,xa),
inference(resolution,[],[f93,f38]) ).
fof(f140,plain,
sdtasdt0(xa,sz00) = sF1,
inference(forward_demodulation,[],[f135,f60]) ).
fof(f141,plain,
sF0 = sF1,
inference(forward_demodulation,[],[f140,f58]) ).
fof(f143,plain,
( sz00 != sF0
| spl2_1 ),
inference(superposition,[],[f65,f141]) ).
fof(f144,plain,
( ~ spl2_2
| spl2_1 ),
inference(avatar_split_clause,[],[f143,f63,f67]) ).
fof(f147,plain,
xa = sdtasdt0(sz10,xa),
inference(resolution,[],[f51,f55]) ).
fof(f153,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,X1),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(X1,xa)) ),
inference(resolution,[],[f53,f55]) ).
fof(f157,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X1,sdtpldt0(X2,smndt0(X0))) = sdtpldt0(sdtpldt0(X1,X2),smndt0(X0)) ),
inference(resolution,[],[f40,f43]) ).
fof(f202,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),xa) = sdtpldt0(sdtasdt0(X0,xa),sdtasdt0(sz00,xa)) ),
inference(resolution,[],[f153,f38]) ).
fof(f211,plain,
! [X0] :
( sdtasdt0(sdtpldt0(X0,sz00),xa) = sdtpldt0(sdtasdt0(X0,xa),sF1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[],[f202,f60]) ).
fof(f213,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,sz00),xa) = sdtpldt0(sdtasdt0(X0,xa),sF0) ),
inference(forward_demodulation,[],[f211,f141]) ).
fof(f226,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,xa) = sdtpldt0(xa,X0) ),
inference(resolution,[],[f44,f55]) ).
fof(f235,plain,
sdtpldt0(sF0,xa) = sdtpldt0(xa,sF0),
inference(resolution,[],[f226,f79]) ).
fof(f270,plain,
sz10 = sdtpldt0(sz10,sz00),
inference(resolution,[],[f39,f46]) ).
fof(f363,plain,
sdtasdt0(sdtpldt0(sz10,sz00),xa) = sdtpldt0(sdtasdt0(sz10,xa),sF0),
inference(resolution,[],[f213,f39]) ).
fof(f373,plain,
sdtpldt0(xa,sF0) = sdtasdt0(sdtpldt0(sz10,sz00),xa),
inference(forward_demodulation,[],[f363,f147]) ).
fof(f377,plain,
sdtasdt0(sz10,xa) = sdtpldt0(xa,sF0),
inference(forward_demodulation,[],[f373,f270]) ).
fof(f381,plain,
xa = sdtpldt0(xa,sF0),
inference(forward_demodulation,[],[f377,f147]) ).
fof(f455,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xa,smndt0(X1))) = sdtpldt0(sdtpldt0(X0,xa),smndt0(X1)) ),
inference(resolution,[],[f157,f55]) ).
fof(f464,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(xa,smndt0(xa))) = sdtpldt0(sdtpldt0(X0,xa),smndt0(xa)) ),
inference(resolution,[],[f455,f55]) ).
fof(f468,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = sdtpldt0(sdtpldt0(X0,xa),smndt0(xa)) ),
inference(forward_demodulation,[],[f464,f85]) ).
fof(f907,plain,
sdtpldt0(sF1,sz00) = sdtpldt0(sdtpldt0(sF1,xa),smndt0(xa)),
inference(resolution,[],[f468,f80]) ).
fof(f908,plain,
sdtpldt0(sF0,sz00) = sdtpldt0(sdtpldt0(sF0,xa),smndt0(xa)),
inference(forward_demodulation,[],[f907,f141]) ).
fof(f915,plain,
sdtpldt0(sF0,sz00) = sdtpldt0(sdtpldt0(xa,sF0),smndt0(xa)),
inference(forward_demodulation,[],[f908,f235]) ).
fof(f920,plain,
sdtpldt0(xa,smndt0(xa)) = sdtpldt0(sF0,sz00),
inference(forward_demodulation,[],[f915,f381]) ).
fof(f924,plain,
sF0 = sdtpldt0(xa,smndt0(xa)),
inference(forward_demodulation,[],[f920,f100]) ).
fof(f926,plain,
sz00 = sF0,
inference(forward_demodulation,[],[f924,f85]) ).
fof(f929,plain,
( $false
| spl2_2 ),
inference(forward_subsumption_resolution,[],[f926,f69]) ).
fof(f930,plain,
spl2_2,
inference(avatar_contradiction_clause,[],[f929]) ).
cnf(s1,plain,
( ~ spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f70]) ).
cnf(s2,plain,
( spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f144]) ).
cnf(s10,plain,
spl2_2,
inference(sat_conversion,[],[f930]) ).
cnf(s14,plain,
spl2_1,
inference(rat,[],[s2,s10]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s10,s14]) ).
fof(f931,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM421+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 19:49:32 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 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
% 7.00/2.01 % (126676)Detected formulas, will run a generic FOF schedule.
% 7.00/2.01 % (126683)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=103833043:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.00/2.01 % (126686)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3679489496:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.00/2.01 % (126685)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3366822081:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.00/2.01 % (126682)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=3073684444:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.00/2.01 % (126681)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=1420091549:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.00/2.01 % (126684)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=763057360:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.00/2.01 % (126687)dis-21_1_sil=8000:lcm=predicate:random_seed=1277087374: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)
% 7.00/2.01 % (126684)Refutation not found, incomplete strategy
% 7.00/2.01 % (126684)------------------------------
% 7.00/2.01 % (126684)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126684)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126684)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126684)Termination reason: Refutation not found, incomplete strategy
% 7.00/2.01 % (126684)Time elapsed: 0.001 s
% 7.00/2.01 % (126684)Peak memory usage: 88 MB
% 7.00/2.01 % (126687)Refutation not found, incomplete strategy
% 7.00/2.01 % (126687)------------------------------
% 7.00/2.01 % (126687)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126687)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126687)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126687)Termination reason: Refutation not found, incomplete strategy
% 7.00/2.01 % (126687)Time elapsed: 0.001 s
% 7.00/2.01 % (126687)Peak memory usage: 88 MB
% 7.00/2.01 % (126687)Instructions burned: 1 (million)
% 7.00/2.01 % (126685)Instruction limit reached!
% 7.00/2.01 % (126685)------------------------------
% 7.00/2.01 % (126685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126685)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126685)Termination reason: Instruction limit
% 7.00/2.01 % (126685)Termination phase: Saturation
% 7.00/2.01 % (126685)Time elapsed: 0.066 s
% 7.00/2.01 % (126685)Peak memory usage: 88 MB
% 7.00/2.01 % (126685)Instructions burned: 121 (million)
% 7.00/2.01 % (126686)Instruction limit reached!
% 7.00/2.01 % (126686)------------------------------
% 7.00/2.01 % (126686)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126686)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126686)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126686)Termination reason: Instruction limit
% 7.00/2.01 % (126686)Termination phase: Saturation
% 7.00/2.01 % (126686)Time elapsed: 0.081 s
% 7.00/2.01 % (126686)Peak memory usage: 90 MB
% 7.00/2.01 % (126686)Instructions burned: 139 (million)
% 7.00/2.01 % (126695)lrs+10_1_sil=8000:sp=occurrence:random_seed=1566189668:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.00/2.01 % (126696)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1949634057:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.00/2.01 % (126687)------------------------------
% 7.00/2.01 % (126687)------------------------------
% 7.00/2.01 % (126684)------------------------------
% 7.00/2.01 % (126684)------------------------------
% 7.00/2.01 % (126696)Instruction limit reached!
% 7.00/2.01 % (126696)------------------------------
% 7.00/2.01 % (126696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126696)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126696)Termination reason: Instruction limit
% 7.00/2.01 % (126696)Termination phase: Saturation
% 7.00/2.01 % (126696)Time elapsed: 0.070 s
% 7.00/2.01 % (126696)Peak memory usage: 90 MB
% 7.00/2.01 % (126696)Instructions burned: 157 (million)
% 7.00/2.01 % (126695)Instruction limit reached!
% 7.00/2.01 % (126695)------------------------------
% 7.00/2.01 % (126695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126695)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126695)Termination reason: Instruction limit
% 7.00/2.01 % (126695)Termination phase: Saturation
% 7.00/2.01 % (126695)Time elapsed: 0.159 s
% 7.00/2.01 % (126695)Peak memory usage: 93 MB
% 7.00/2.01 % (126695)Instructions burned: 286 (million)
% 7.00/2.01 % (126700)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=2694005167:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 7.00/2.01 % (126699)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3458906441:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 7.00/2.01 % (126701)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4123540964:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 7.00/2.01 % (126701)Refutation not found, incomplete strategy
% 7.00/2.01 % (126701)------------------------------
% 7.00/2.01 % (126701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126701)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126701)Termination reason: Refutation not found, incomplete strategy
% 7.00/2.01 % (126701)Time elapsed: 0.001 s
% 7.00/2.01 % (126701)Peak memory usage: 88 MB
% 7.00/2.01 % (126701)Instructions burned: 1 (million)
% 7.00/2.01 % (126702)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2387320850:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 7.00/2.01 % (126700)Instruction limit reached!
% 7.00/2.01 % (126700)------------------------------
% 7.00/2.01 % (126700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126700)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126700)Termination reason: Instruction limit
% 7.00/2.01 % (126700)Termination phase: Saturation
% 7.00/2.01 % (126700)Time elapsed: 0.117 s
% 7.00/2.01 % (126700)Peak memory usage: 94 MB
% 7.00/2.01 % (126700)Instructions burned: 250 (million)
% 7.00/2.01 % (126699)Instruction limit reached!
% 7.00/2.01 % (126699)------------------------------
% 7.00/2.01 % (126699)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126699)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126699)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126699)Termination reason: Instruction limit
% 7.00/2.01 % (126699)Termination phase: Saturation
% 7.00/2.01 % (126699)Time elapsed: 0.192 s
% 7.00/2.01 % (126699)Peak memory usage: 93 MB
% 7.00/2.01 % (126699)Instructions burned: 326 (million)
% 7.00/2.01 % (126701)------------------------------
% 7.00/2.01 % (126701)------------------------------
% 7.00/2.01 % (126707)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1439507701:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.00/2.01 % (126708)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3675118327:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 7.00/2.01 % (126707)Instruction limit reached!
% 7.00/2.01 % (126707)------------------------------
% 7.00/2.01 % (126707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126707)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126707)Termination reason: Instruction limit
% 7.00/2.01 % (126707)Termination phase: Saturation
% 7.00/2.01 % (126707)Time elapsed: 0.076 s
% 7.00/2.01 % (126707)Peak memory usage: 91 MB
% 7.00/2.01 % (126707)Instructions burned: 113 (million)
% 7.00/2.01 % (126681)First to succeed.
% 7.00/2.01 % (126681)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-126676"
% 7.00/2.01 % (126708)Instruction limit reached!
% 7.00/2.01 % (126708)------------------------------
% 7.00/2.01 % (126708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126708)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126708)Termination reason: Instruction limit
% 7.00/2.01 % (126708)Termination phase: Saturation
% 7.00/2.01 % (126708)Time elapsed: 0.061 s
% 7.00/2.01 % (126708)Peak memory usage: 89 MB
% 7.00/2.01 % (126708)Instructions burned: 128 (million)
% 7.00/2.01 % (126710)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2978204221:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 7.00/2.01 % (126682)Also succeeded, but the first one will report.
% 7.00/2.01 % (126710)Instruction limit reached!
% 7.00/2.01 % (126710)------------------------------
% 7.00/2.01 % (126710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126710)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126710)Termination reason: Instruction limit
% 7.00/2.01 % (126710)Termination phase: Saturation
% 7.00/2.01 % (126710)Time elapsed: 0.064 s
% 7.00/2.01 % (126710)Peak memory usage: 89 MB
% 7.00/2.01 % (126710)Instructions burned: 116 (million)
% 7.00/2.01 % (126712)lrs+10_1_sil=8000:sp=occurrence:random_seed=3412022553:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 7.00/2.01 % (126714)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3443095912:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 7.00/2.01 % (126714)Refutation not found, incomplete strategy
% 7.00/2.01 % (126714)------------------------------
% 7.00/2.01 % (126714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.00/2.01 % (126714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.00/2.01 % (126714)CaDiCaL version: 2.1.3
% 7.00/2.01 % (126714)Termination reason: Refutation not found, incomplete strategy
% 7.00/2.01 % (126714)Time elapsed: 0.001 s
% 7.00/2.01 % (126714)Peak memory usage: 88 MB
% 7.00/2.01 % (126714)Instructions burned: 1 (million)
% 7.00/2.01 % (126715)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=155350965:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 7.00/2.01 % (126681)Refutation found. Thanks to Tanya!
% 7.00/2.01 % SZS status Theorem for theBenchmark
% 7.00/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.21 % (126681)------------------------------
% 0.16/2.21 % (126681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.21 % (126681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.21 % (126681)CaDiCaL version: 2.1.3
% 0.16/2.21 % (126681)Termination reason: Refutation
% 0.16/2.21 % (126681)Time elapsed: 0.756 s
% 0.16/2.21 % (126681)Peak memory usage: 131 MB
% 0.16/2.21 % (126681)Instructions burned: 1138 (million)
% 0.16/2.21 % (126681)------------------------------
% 0.16/2.21 % (126681)------------------------------
% 0.16/2.21 % (126676)Success in time 1.175 s
% 0.16/2.21 % Vampire exiting
%------------------------------------------------------------------------------