%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL888+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:56:56 AM UTC 2026
% Result : Theorem 10.51s 2.72s
% Output : Refutation 10.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 12
% Syntax : Number of formulae : 92 ( 49 unt; 2 def)
% Number of atoms : 147 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 99 ( 44 ~; 38 |; 10 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 125 ( 0 sgn 119 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f6,axiom,
! [X0,X1] :
( ( '>='(X0,X1)
& '>='(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f7,axiom,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f9,axiom,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('+'(X0,X2),'+'(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_09) ).
fof(f12,axiom,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_12) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( ( X0 = '==>'(X0,X1)
& X2 = '==>'(X2,X1) )
=> X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_13) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( ( X0 = '==>'(X0,X1)
& X2 = '==>'(X2,X1) )
=> X0 = X2 ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f18,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f22,plain,
? [X0,X1,X2] :
( X0 != X2
& X0 = '==>'(X0,X1)
& X2 = '==>'(X2,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f23,plain,
? [X0,X1,X2] :
( X0 != X2
& X0 = '==>'(X0,X1)
& X2 = '==>'(X2,X1) ),
inference(flattening,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) )
& ( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f25,plain,
( sK0 != sK2
& sK0 = '==>'(sK0,sK1)
& sK2 = '==>'(sK2,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f23]) ).
fof(f26,plain,
! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
fof(f27,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
! [X0] : '>='(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f31,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| ~ '>='(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f33,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f34,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ '>='(X0,X1)
| '>='('+'(X0,X2),'+'(X1,X2)) ),
inference(cnf_transformation,[],[f19]) ).
fof(f38,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
sK2 = '==>'(sK2,sK1),
inference(cnf_transformation,[],[f25]) ).
fof(f40,plain,
sK0 = '==>'(sK0,sK1),
inference(cnf_transformation,[],[f25]) ).
fof(f41,plain,
sK0 != sK2,
inference(cnf_transformation,[],[f25]) ).
fof(f51,plain,
! [X2,X0,X1] : '+'(X1,'+'('==>'(X1,X0),X2)) = '+'('+'(X0,'==>'(X0,X1)),X2),
inference(superposition,[],[f26,f38]) ).
fof(f60,plain,
! [X2,X0,X1] : '+'(X1,'+'('==>'(X1,X0),X2)) = '+'(X0,'+'('==>'(X0,X1),X2)),
inference(forward_demodulation,[],[f51,f26]) ).
fof(f70,plain,
! [X2,X0,X1] :
( ~ '>='(X0,'==>'(X1,X2))
| '>='('+'(X0,X1),X2) ),
inference(superposition,[],[f33,f27]) ).
fof(f79,plain,
! [X2,X3,X0,X1] :
( '>='('+'('+'(X0,X1),X2),'+'(X3,X2))
| ~ '>='(X1,'==>'(X0,X3)) ),
inference(resolution,[],[f35,f33]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( ~ '>='(X1,'==>'(X0,X3))
| '>='('+'(X0,'+'(X1,X2)),'+'(X3,X2)) ),
inference(forward_demodulation,[],[f79,f26]) ).
fof(f86,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f27,f28]) ).
fof(f89,plain,
! [X0,X1] :
( '>='('0','==>'(X0,X1))
| ~ '>='(X0,X1) ),
inference(superposition,[],[f32,f28]) ).
fof(f119,plain,
! [X2,X3,X0,X1] :
( ~ '>='('+'(X0,'+'('==>'(X0,X1),X2)),X3)
| '>='('+'('==>'(X1,X0),X2),'==>'(X1,X3)) ),
inference(superposition,[],[f32,f60]) ).
fof(f135,plain,
! [X0,X1] : '>='('+'('==>'(X0,X1),X0),X1),
inference(resolution,[],[f29,f70]) ).
fof(f136,plain,
! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
inference(forward_demodulation,[],[f135,f27]) ).
fof(f147,plain,
! [X0,X1] : '>='(X0,'==>'(X1,'0')),
inference(resolution,[],[f34,f32]) ).
fof(f148,plain,
! [X0,X1] : '>='('+'(X0,X1),'+'('0',X1)),
inference(resolution,[],[f34,f35]) ).
fof(f152,plain,
! [X0,X1] : '>='('+'(X0,X1),X1),
inference(forward_demodulation,[],[f148,f86]) ).
fof(f165,plain,
! [X2,X0,X1] : '>='('+'(X0,'+'(X1,X2)),'+'('0',X2)),
inference(resolution,[],[f147,f80]) ).
fof(f171,plain,
! [X2,X0,X1] : '>='('+'(X0,'+'(X1,X2)),X2),
inference(forward_demodulation,[],[f165,f86]) ).
fof(f173,plain,
! [X2,X0,X1] : '>='('+'(X0,X1),'==>'(X2,X1)),
inference(resolution,[],[f171,f32]) ).
fof(f239,plain,
! [X2,X3,X0,X1] :
( ~ '>='('+'('==>'(X1,X0),X2),'==>'(X1,X3))
| '>='('+'('==>'(X0,X1),X2),'==>'(X0,X3)) ),
inference(resolution,[],[f119,f33]) ).
fof(f278,plain,
! [X0] : '>='('+'(X0,sK1),sK2),
inference(superposition,[],[f173,f39]) ).
fof(f289,plain,
! [X0] : '>='('+'(sK1,X0),sK2),
inference(superposition,[],[f278,f27]) ).
fof(f317,plain,
! [X0] : '>='('+'(X0,'==>'(X0,sK1)),sK2),
inference(superposition,[],[f289,f38]) ).
fof(f402,plain,
'>='('+'(sK0,sK0),sK2),
inference(superposition,[],[f317,f40]) ).
fof(f411,plain,
'>='(sK0,'==>'(sK0,sK2)),
inference(resolution,[],[f402,f32]) ).
fof(f641,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| ~ '>='('==>'(X0,X1),'0')
| '0' = '==>'(X0,X1) ),
inference(resolution,[],[f89,f31]) ).
fof(f646,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| '0' = '==>'(X0,X1) ),
inference(forward_subsumption_resolution,[],[f641,f34]) ).
fof(f1097,plain,
! [X2,X0,X1] : '>='('+'('==>'(X0,X1),'==>'(X1,X2)),'==>'(X0,X2)),
inference(resolution,[],[f239,f152]) ).
fof(f1118,plain,
! [X0,X1] :
( ~ '>='('+'('==>'(sK0,X0),X1),sK0)
| '>='('+'('==>'(X0,sK0),X1),'==>'(X0,sK1)) ),
inference(superposition,[],[f239,f40]) ).
fof(f1397,plain,
! [X0] : '>='('+'('==>'(X0,sK0),sK0),'==>'(X0,sK1)),
inference(superposition,[],[f1097,f40]) ).
fof(f1398,plain,
! [X0] : '>='('+'('==>'(X0,sK2),sK2),'==>'(X0,sK1)),
inference(superposition,[],[f1097,f39]) ).
fof(f1405,plain,
! [X0] : '>='('+'(sK2,'==>'(X0,sK2)),'==>'(X0,sK1)),
inference(forward_demodulation,[],[f1398,f27]) ).
fof(f1406,plain,
! [X0] : '>='('+'(sK0,'==>'(X0,sK0)),'==>'(X0,sK1)),
inference(forward_demodulation,[],[f1397,f27]) ).
fof(f1424,plain,
'>='('+'(sK0,'==>'(sK2,sK0)),sK2),
inference(superposition,[],[f1406,f39]) ).
fof(f1443,plain,
'>='('+'(sK2,'==>'(sK0,sK2)),sK0),
inference(superposition,[],[f1405,f40]) ).
fof(f1451,plain,
'>='('==>'(sK2,sK0),'==>'(sK0,sK2)),
inference(resolution,[],[f1424,f32]) ).
fof(f1472,plain,
( ~ '>='('==>'(sK0,sK2),'==>'(sK2,sK0))
| '==>'(sK0,sK2) = '==>'(sK2,sK0) ),
inference(resolution,[],[f1451,f31]) ).
fof(f1476,definition,
( spl3_23
<=> '==>'(sK0,sK2) = '==>'(sK2,sK0) ),
introduced(definition,[new_symbols(definition,[spl3_23])],[avatar_definition]) ).
fof(f1477,plain,
( '==>'(sK0,sK2) = '==>'(sK2,sK0)
| ~ spl3_23 ),
inference(avatar_component_clause,[],[f1476]) ).
fof(f1479,definition,
( spl3_24
<=> '>='('==>'(sK0,sK2),'==>'(sK2,sK0)) ),
introduced(definition,[new_symbols(definition,[spl3_24])],[avatar_definition]) ).
fof(f1480,plain,
( ~ '>='('==>'(sK0,sK2),'==>'(sK2,sK0))
| spl3_24 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f1481,plain,
( spl3_23
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f1472,f1479,f1476]) ).
fof(f1484,plain,
'>='('==>'(sK0,sK2),'==>'(sK2,sK0)),
inference(resolution,[],[f1443,f32]) ).
fof(f1500,plain,
( $false
| spl3_24 ),
inference(forward_subsumption_resolution,[],[f1484,f1480]) ).
fof(f1501,plain,
spl3_24,
inference(avatar_contradiction_clause,[],[f1500]) ).
fof(f1517,plain,
( '+'(sK2,'==>'(sK0,sK2)) = '+'(sK0,'==>'(sK0,sK2))
| ~ spl3_23 ),
inference(superposition,[],[f38,f1477]) ).
fof(f2392,plain,
'0' = '==>'(sK0,'==>'(sK0,sK2)),
inference(resolution,[],[f646,f411]) ).
fof(f3454,plain,
! [X0] : '>='('+'('==>'(X0,sK0),'==>'('==>'(sK0,X0),sK0)),'==>'(X0,sK1)),
inference(resolution,[],[f1118,f136]) ).
fof(f3505,plain,
'>='('+'('==>'(sK2,sK0),'==>'('==>'(sK0,sK2),sK0)),sK2),
inference(superposition,[],[f3454,f39]) ).
fof(f3510,plain,
( '>='('+'('==>'(sK0,sK2),'==>'('==>'(sK0,sK2),sK0)),sK2)
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3505,f1477]) ).
fof(f3525,plain,
( '>='('+'(sK0,'==>'(sK0,'==>'(sK0,sK2))),sK2)
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3510,f38]) ).
fof(f3532,plain,
( '>='('+'(sK0,'0'),sK2)
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3525,f2392]) ).
fof(f3537,plain,
( '>='(sK0,sK2)
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3532,f28]) ).
fof(f3540,plain,
( '0' = '==>'(sK0,sK2)
| ~ spl3_23 ),
inference(resolution,[],[f3537,f646]) ).
fof(f3554,plain,
( '+'(sK2,'0') = '+'(sK0,'0')
| ~ spl3_23 ),
inference(superposition,[],[f1517,f3540]) ).
fof(f3647,plain,
( sK0 = '+'(sK2,'0')
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3554,f28]) ).
fof(f3665,plain,
( sK0 = sK2
| ~ spl3_23 ),
inference(forward_demodulation,[],[f3647,f28]) ).
fof(f3686,plain,
( $false
| ~ spl3_23 ),
inference(forward_subsumption_resolution,[],[f3665,f41]) ).
fof(f3687,plain,
~ spl3_23,
inference(avatar_contradiction_clause,[],[f3686]) ).
cnf(s12,plain,
( spl3_23
| ~ spl3_24 ),
inference(sat_conversion,[],[f1481]) ).
cnf(s14,plain,
spl3_24,
inference(sat_conversion,[],[f1501]) ).
cnf(s34,plain,
~ spl3_23,
inference(sat_conversion,[],[f3687]) ).
cnf(s36,plain,
$false,
inference(rat,[],[s12,s14,s34]) ).
fof(f3697,plain,
$false,
inference(avatar_sat_refutation,[],[s36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL888+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n007.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 17:02:10 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 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
% 9.60/2.44 % (1655242)Detected formulas, will run a generic FOF schedule.
% 9.60/2.44 % (1655250)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=2470390538:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.60/2.44 % (1655255)dis-21_1_sil=8000:lcm=predicate:random_seed=1816915058: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)
% 9.60/2.44 % (1655251)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=1246627896:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.60/2.44 % (1655254)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1641404194:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.60/2.44 % (1655252)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=93087592:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.60/2.44 % (1655249)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=3037190585:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.60/2.44 % (1655253)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2491659575:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.60/2.44 % (1655255)Instruction limit reached!
% 9.60/2.44 % (1655255)------------------------------
% 9.60/2.44 % (1655255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.44 % (1655255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.44 % (1655255)CaDiCaL version: 2.1.3
% 9.60/2.44 % (1655255)Termination reason: Instruction limit
% 9.60/2.44 % (1655255)Termination phase: Saturation
% 9.60/2.44 % (1655255)Time elapsed: 0.132 s
% 9.60/2.44 % (1655255)Peak memory usage: 89 MB
% 9.60/2.44 % (1655255)Instructions burned: 129 (million)
% 9.60/2.44 % (1655252)Instruction limit reached!
% 9.60/2.44 % (1655252)------------------------------
% 9.60/2.44 % (1655252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.44 % (1655252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.44 % (1655252)CaDiCaL version: 2.1.3
% 9.60/2.44 % (1655252)Termination reason: Instruction limit
% 9.60/2.44 % (1655252)Termination phase: Saturation
% 9.60/2.44 % (1655252)Time elapsed: 0.112 s
% 9.60/2.44 % (1655252)Peak memory usage: 89 MB
% 9.60/2.44 % (1655252)Instructions burned: 109 (million)
% 9.60/2.44 % (1655253)Instruction limit reached!
% 9.60/2.44 % (1655253)------------------------------
% 9.60/2.44 % (1655253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.44 % (1655253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.44 % (1655253)CaDiCaL version: 2.1.3
% 9.60/2.44 % (1655253)Termination reason: Instruction limit
% 9.60/2.44 % (1655253)Termination phase: Saturation
% 9.60/2.44 % (1655253)Time elapsed: 0.118 s
% 9.60/2.44 % (1655253)Peak memory usage: 88 MB
% 9.60/2.44 % (1655253)Instructions burned: 119 (million)
% 9.60/2.44 % (1655254)Instruction limit reached!
% 9.60/2.44 % (1655254)------------------------------
% 9.60/2.44 % (1655254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.44 % (1655254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.44 % (1655254)CaDiCaL version: 2.1.3
% 9.60/2.44 % (1655254)Termination reason: Instruction limit
% 9.60/2.44 % (1655254)Termination phase: Saturation
% 9.60/2.44 % (1655254)Time elapsed: 0.136 s
% 9.60/2.44 % (1655254)Peak memory usage: 89 MB
% 9.60/2.44 % (1655254)Instructions burned: 139 (million)
% 9.60/2.44 % (1655265)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1562038362:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 9.60/2.44 % (1655263)lrs+10_1_sil=8000:sp=occurrence:random_seed=4121889546:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.60/2.44 % (1655264)lrs+10_1_sil=32000:urr=on:br=off:random_seed=506020459:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 9.60/2.44 % (1655266)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=1846370604:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.60/2.44 % (1655265)Instruction limit reached!
% 9.60/2.44 % (1655265)------------------------------
% 9.60/2.44 % (1655265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.44 % (1655265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.44 % (1655265)CaDiCaL version: 2.1.3
% 9.60/2.44 % (1655265)Termination reason: Instruction limit
% 9.60/2.44 % (1655265)Termination phase: Saturation
% 9.60/2.44 % (1655265)Time elapsed: 0.200 s
% 9.60/2.44 % (1655265)Peak memory usage: 91 MB
% 9.60/2.44 % (1655265)Instructions burned: 326 (million)
% 9.60/2.44 % (1655264)Instruction limit reached!
% 9.60/2.44 % (1655264)------------------------------
% 9.60/2.44 % (1655264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.44 % (1655264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.44 % (1655264)CaDiCaL version: 2.1.3
% 9.60/2.44 % (1655264)Termination reason: Instruction limit
% 9.60/2.44 % (1655264)Termination phase: Saturation
% 9.60/2.44 % (1655264)Time elapsed: 0.148 s
% 9.60/2.44 % (1655264)Peak memory usage: 90 MB
% 9.60/2.44 % (1655264)Instructions burned: 158 (million)
% 9.60/2.44 % (1655263)Instruction limit reached!
% 9.60/2.44 % (1655263)------------------------------
% 9.60/2.44 % (1655263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.44 % (1655263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.44 % (1655263)CaDiCaL version: 2.1.3
% 9.60/2.44 % (1655263)Termination reason: Instruction limit
% 9.60/2.44 % (1655263)Termination phase: Saturation
% 9.60/2.44 % (1655263)Time elapsed: 0.301 s
% 9.60/2.44 % (1655263)Peak memory usage: 91 MB
% 9.60/2.44 % (1655263)Instructions burned: 286 (million)
% 9.60/2.44 % (1655266)Instruction limit reached!
% 9.60/2.44 % (1655266)------------------------------
% 9.60/2.44 % (1655266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.44 % (1655266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.44 % (1655266)CaDiCaL version: 2.1.3
% 9.60/2.44 % (1655266)Termination reason: Instruction limit
% 9.60/2.44 % (1655266)Termination phase: Saturation
% 9.60/2.44 % (1655266)Time elapsed: 0.240 s
% 9.60/2.44 % (1655266)Peak memory usage: 91 MB
% 9.60/2.44 % (1655266)Instructions burned: 248 (million)
% 9.60/2.44 % (1655273)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2695648439:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 9.60/2.44 % (1655271)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2483250353:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 9.60/2.44 % (1655250)First to succeed.
% 9.60/2.44 % (1655250)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1655242"
% 9.60/2.44 % (1655274)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3798849973:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 9.60/2.44 % (1655275)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=971445247:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 9.60/2.44 % (1655275)Refutation not found, incomplete strategy
% 9.60/2.44 % (1655275)------------------------------
% 9.60/2.44 % (1655275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.44 % (1655275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.44 % (1655275)CaDiCaL version: 2.1.3
% 9.60/2.44 % (1655275)Termination reason: Refutation not found, incomplete strategy
% 9.60/2.44 % (1655275)Time elapsed: 0.002 s
% 9.60/2.44 % (1655275)Peak memory usage: 88 MB
% 9.60/2.44 % (1655271)Instruction limit reached!
% 9.60/2.44 % (1655271)------------------------------
% 9.60/2.44 % (1655271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.44 % (1655271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.44 % (1655271)CaDiCaL version: 2.1.3
% 9.60/2.44 % (1655271)Termination reason: Instruction limit
% 9.60/2.44 % (1655271)Termination phase: Saturation
% 9.60/2.44 % (1655271)Time elapsed: 0.294 s
% 9.60/2.44 % (1655271)Peak memory usage: 89 MB
% 9.60/2.44 % (1655271)Instructions burned: 295 (million)
% 9.60/2.44 % (1655274)Instruction limit reached!
% 9.60/2.44 % (1655274)------------------------------
% 9.60/2.44 % (1655274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.60/2.44 % (1655274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.60/2.44 % (1655274)CaDiCaL version: 2.1.3
% 10.51/2.72 % (1655274)Termination reason: Instruction limit
% 10.51/2.72 % (1655274)Termination phase: Saturation
% 10.51/2.72 % (1655274)Time elapsed: 0.132 s
% 10.51/2.72 % (1655274)Peak memory usage: 91 MB
% 10.51/2.72 % (1655274)Instructions burned: 113 (million)
% 10.51/2.72 % (1655250)Refutation found. Thanks to Tanya!
% 10.51/2.72 % SZS status Theorem for theBenchmark
% 10.51/2.72 % SZS output start Proof for theBenchmark
% See solution above
% 10.51/2.72 % (1655250)------------------------------
% 10.51/2.72 % (1655250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.72 % (1655250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.72 % (1655250)CaDiCaL version: 2.1.3
% 10.51/2.72 % (1655250)Termination reason: Refutation
% 10.51/2.72 % (1655250)Time elapsed: 0.909 s
% 10.51/2.72 % (1655250)Peak memory usage: 135 MB
% 10.51/2.72 % (1655250)Instructions burned: 1506 (million)
% 10.51/2.72 % (1655250)------------------------------
% 10.51/2.72 % (1655250)------------------------------
% 10.51/2.72 % (1655242)Success in time 1.35 s
% 10.51/2.72 % Vampire exiting
%------------------------------------------------------------------------------