%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL895+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 : n004.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 11:56:57 AM UTC 2026
% Result : Theorem 9.00s 2.32s
% Output : Refutation 10.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 17
% Syntax : Number of formulae : 113 ( 55 unt; 8 def)
% Number of atoms : 206 ( 118 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 168 ( 75 ~; 80 |; 7 &)
% ( 5 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 63 ( 0 sgn 63 !; 0 ?)
% 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) = '0',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X0] : '==>'(X0,'0') = '0',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
fof(f6,axiom,
! [X0] : '==>'('0',X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_06) ).
fof(f7,axiom,
! [X0,X1,X2] : '==>'('+'(X0,X1),X2) = '==>'(X0,'==>'(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_08) ).
fof(f9,conjecture,
( ( '==>'(c,a) = '0'
& '==>'(c,b) = '0' )
<=> '==>'(c,'+'(a,'==>'(a,b))) = '0' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_09) ).
fof(f10,negated_conjecture,
~ ( ( '==>'(c,a) = '0'
& '==>'(c,b) = '0' )
<=> '==>'(c,'+'(a,'==>'(a,b))) = '0' ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,plain,
( ( '==>'(c,a) = '0'
& '==>'(c,b) = '0' )
<~> '==>'(c,'+'(a,'==>'(a,b))) = '0' ),
inference(ennf_transformation,[],[f10]) ).
fof(f12,plain,
( ( '0' != '==>'(c,'+'(a,'==>'(a,b)))
| '0' != '==>'(c,a)
| '0' != '==>'(c,b) )
& ( '==>'(c,'+'(a,'==>'(a,b))) = '0'
| ( '==>'(c,a) = '0'
& '==>'(c,b) = '0' ) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f13,plain,
( ( '0' != '==>'(c,'+'(a,'==>'(a,b)))
| '0' != '==>'(c,a)
| '0' != '==>'(c,b) )
& ( '==>'(c,'+'(a,'==>'(a,b))) = '0'
| ( '==>'(c,a) = '0'
& '==>'(c,b) = '0' ) ) ),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X2,X0,X1] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f17,plain,
! [X0] : '0' = '==>'(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f18,plain,
! [X0] : '0' = '==>'(X0,'0'),
inference(cnf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0] : '==>'('0',X0) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f20,plain,
! [X2,X0,X1] : '==>'('+'(X0,X1),X2) = '==>'(X0,'==>'(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f21,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
inference(cnf_transformation,[],[f8]) ).
fof(f22,plain,
( '0' = '==>'(c,'+'(a,'==>'(a,b)))
| '0' = '==>'(c,b) ),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
( '0' = '==>'(c,'+'(a,'==>'(a,b)))
| '0' = '==>'(c,a) ),
inference(cnf_transformation,[],[f13]) ).
fof(f24,plain,
( '0' != '==>'(c,'+'(a,'==>'(a,b)))
| '0' != '==>'(c,a)
| '0' != '==>'(c,b) ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,definition,
sF0 = '==>'(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f26,plain,
'==>'(a,b) = sF0,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF1 = '+'(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f28,plain,
'+'(a,sF0) = sF1,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF2 = '==>'(c,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f30,plain,
'==>'(c,sF1) = sF2,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF3 = '==>'(c,a),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f32,plain,
'==>'(c,a) = sF3,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF4 = '==>'(c,b),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f34,plain,
'==>'(c,b) = sF4,
inference(reorient_equations,[],[f33]) ).
fof(f35,plain,
( '0' != sF2
| '0' != sF3
| '0' != sF4 ),
inference(definition_folding,[],[f24,f34,f32,f30,f28,f26]) ).
fof(f36,plain,
( '0' = sF2
| '0' = sF3 ),
inference(definition_folding,[],[f23,f32,f30,f28,f26]) ).
fof(f37,plain,
( '0' = sF2
| '0' = sF4 ),
inference(definition_folding,[],[f22,f34,f30,f28,f26]) ).
fof(f39,definition,
( spl5_1
<=> '0' = sF4 ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f41,plain,
( '0' = sF4
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f43,definition,
( spl5_2
<=> '0' = sF2 ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f44,plain,
( '0' != sF2
| spl5_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f45,plain,
( '0' = sF2
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f46,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f37,f43,f39]) ).
fof(f48,definition,
( spl5_3
<=> '0' = sF3 ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f49,plain,
( '0' != sF3
| spl5_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f50,plain,
( '0' = sF3
| ~ spl5_3 ),
inference(avatar_component_clause,[],[f48]) ).
fof(f51,plain,
( spl5_3
| spl5_2 ),
inference(avatar_split_clause,[],[f36,f43,f48]) ).
fof(f52,plain,
( ~ spl5_1
| ~ spl5_3
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f35,f43,f48,f39]) ).
fof(f56,plain,
'+'(sF1,'==>'(sF1,c)) = '+'(c,sF2),
inference(superposition,[],[f21,f30]) ).
fof(f57,plain,
( '+'(sF1,'==>'(sF1,c)) = '+'(c,'0')
| ~ spl5_2 ),
inference(forward_demodulation,[],[f56,f45]) ).
fof(f61,plain,
( c = '+'(sF1,'==>'(sF1,c))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f57,f16]) ).
fof(f69,plain,
sF1 = '+'(sF0,a),
inference(superposition,[],[f28,f15]) ).
fof(f73,plain,
! [X2,X0,X1] : '==>'(X1,'==>'('==>'(X1,X0),X2)) = '==>'('+'(X0,'==>'(X0,X1)),X2),
inference(superposition,[],[f20,f21]) ).
fof(f76,plain,
! [X2,X0,X1] : '==>'('+'(X0,X1),X2) = '==>'(X1,'==>'(X0,X2)),
inference(superposition,[],[f20,f15]) ).
fof(f83,plain,
! [X2,X0,X1] : '==>'(X0,'==>'(X1,X2)) = '==>'(X1,'==>'(X0,X2)),
inference(forward_demodulation,[],[f76,f20]) ).
fof(f85,plain,
! [X2,X0,X1] : '==>'(X1,'==>'('==>'(X1,X0),X2)) = '==>'(X0,'==>'('==>'(X0,X1),X2)),
inference(forward_demodulation,[],[f73,f20]) ).
fof(f87,plain,
! [X0] : '==>'(sF1,X0) = '==>'(sF0,'==>'(a,X0)),
inference(superposition,[],[f20,f69]) ).
fof(f89,plain,
! [X2,X0,X1] : '+'(X1,'+'('==>'(X1,X0),X2)) = '+'('+'(X0,'==>'(X0,X1)),X2),
inference(superposition,[],[f14,f21]) ).
fof(f94,plain,
! [X0] : '+'(a,'+'(sF0,X0)) = '+'(sF1,X0),
inference(superposition,[],[f14,f28]) ).
fof(f115,plain,
! [X2,X0,X1] : '+'(X1,'+'('==>'(X1,X0),X2)) = '+'(X0,'+'('==>'(X0,X1),X2)),
inference(forward_demodulation,[],[f89,f14]) ).
fof(f147,plain,
'==>'(sF1,b) = '==>'(sF0,sF0),
inference(superposition,[],[f87,f26]) ).
fof(f152,plain,
'0' = '==>'(sF1,b),
inference(forward_demodulation,[],[f147,f17]) ).
fof(f172,plain,
! [X0] : '==>'(sF1,'==>'('==>'(sF1,c),X0)) = '==>'(c,'==>'(sF2,X0)),
inference(superposition,[],[f85,f30]) ).
fof(f195,plain,
( ! [X0] : '==>'(sF1,'==>'('==>'(sF1,c),X0)) = '==>'(c,'==>'('0',X0))
| ~ spl5_2 ),
inference(forward_demodulation,[],[f172,f45]) ).
fof(f211,plain,
( ! [X0] : '==>'(sF1,'==>'('==>'(sF1,c),X0)) = '==>'(c,X0)
| ~ spl5_2 ),
inference(forward_demodulation,[],[f195,f19]) ).
fof(f268,plain,
! [X2,X0,X1] : '+'(X2,'+'('==>'(X2,X1),'==>'('==>'(X1,X2),X0))) = '+'(X1,'+'(X0,'==>'(X0,'==>'(X1,X2)))),
inference(superposition,[],[f115,f21]) ).
fof(f485,plain,
! [X0] : '==>'(c,'==>'(X0,a)) = '==>'(X0,sF3),
inference(superposition,[],[f83,f32]) ).
fof(f486,plain,
! [X0] : '==>'(c,'==>'(X0,b)) = '==>'(X0,sF4),
inference(superposition,[],[f83,f34]) ).
fof(f487,plain,
! [X0] : '==>'(c,'==>'(X0,sF1)) = '==>'(X0,sF2),
inference(superposition,[],[f83,f30]) ).
fof(f488,plain,
! [X0] : '==>'(X0,sF0) = '==>'(a,'==>'(X0,b)),
inference(superposition,[],[f83,f26]) ).
fof(f491,plain,
! [X0] : '==>'(X0,'0') = '==>'(sF1,'==>'(X0,b)),
inference(superposition,[],[f83,f152]) ).
fof(f531,plain,
! [X0] : '0' = '==>'(sF1,'==>'(X0,b)),
inference(forward_demodulation,[],[f491,f18]) ).
fof(f563,plain,
! [X0] : '==>'('==>'(a,X0),sF0) = '==>'(X0,'==>'('==>'(X0,a),b)),
inference(superposition,[],[f85,f488]) ).
fof(f598,plain,
'==>'('==>'(a,c),sF0) = '==>'(c,'==>'(sF3,b)),
inference(superposition,[],[f563,f32]) ).
fof(f621,plain,
'==>'('==>'(a,c),sF0) = '==>'(sF3,sF4),
inference(forward_demodulation,[],[f598,f486]) ).
fof(f4290,plain,
( '0' = '==>'(c,b)
| ~ spl5_2 ),
inference(superposition,[],[f211,f531]) ).
fof(f4321,plain,
( '0' = sF4
| ~ spl5_2 ),
inference(forward_demodulation,[],[f4290,f34]) ).
fof(f4334,plain,
( spl5_1
| ~ spl5_2 ),
inference(avatar_split_clause,[],[f4321,f43,f39]) ).
fof(f4815,plain,
'+'(a,'+'(sF0,'==>'(sF0,'==>'(a,c)))) = '+'(c,'+'('==>'(c,a),'==>'(sF3,sF4))),
inference(superposition,[],[f268,f621]) ).
fof(f5045,plain,
( '+'(a,'+'(sF0,'==>'(sF0,'==>'(a,c)))) = '+'(c,'+'('==>'(c,a),'==>'(sF3,'0')))
| ~ spl5_1 ),
inference(forward_demodulation,[],[f4815,f41]) ).
fof(f5125,plain,
( '+'(a,'+'(sF0,'==>'(sF0,'==>'(a,c)))) = '+'(c,'+'('==>'(c,a),'0'))
| ~ spl5_1 ),
inference(forward_demodulation,[],[f5045,f18]) ).
fof(f5183,plain,
( '+'(c,'==>'(c,a)) = '+'(a,'+'(sF0,'==>'(sF0,'==>'(a,c))))
| ~ spl5_1 ),
inference(forward_demodulation,[],[f5125,f16]) ).
fof(f5216,plain,
( '+'(c,'==>'(c,a)) = '+'(sF1,'==>'(sF0,'==>'(a,c)))
| ~ spl5_1 ),
inference(forward_demodulation,[],[f5183,f94]) ).
fof(f5234,plain,
( '+'(c,'==>'(c,a)) = '+'(sF1,'==>'(sF1,c))
| ~ spl5_1 ),
inference(forward_demodulation,[],[f5216,f87]) ).
fof(f5243,plain,
( c = '+'(c,'==>'(c,a))
| ~ spl5_1
| ~ spl5_2 ),
inference(forward_demodulation,[],[f5234,f61]) ).
fof(f5247,plain,
( c = '+'(c,sF3)
| ~ spl5_1
| ~ spl5_2 ),
inference(forward_demodulation,[],[f5243,f32]) ).
fof(f5252,plain,
( ! [X0] : '==>'(c,X0) = '==>'(c,'==>'(sF3,X0))
| ~ spl5_1
| ~ spl5_2 ),
inference(superposition,[],[f20,f5247]) ).
fof(f5278,plain,
( '==>'(c,a) = '==>'(sF3,sF3)
| ~ spl5_1
| ~ spl5_2 ),
inference(superposition,[],[f5252,f485]) ).
fof(f5310,plain,
( '0' = '==>'(c,a)
| ~ spl5_1
| ~ spl5_2 ),
inference(forward_demodulation,[],[f5278,f17]) ).
fof(f5324,plain,
( '0' = sF3
| ~ spl5_1
| ~ spl5_2 ),
inference(forward_demodulation,[],[f5310,f32]) ).
fof(f5332,plain,
( $false
| ~ spl5_1
| ~ spl5_2
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f5324,f49]) ).
fof(f5333,plain,
( ~ spl5_1
| ~ spl5_2
| spl5_3 ),
inference(avatar_contradiction_clause,[],[f5332]) ).
fof(f5353,plain,
( '+'(c,'==>'(c,a)) = '+'(c,sF2)
| ~ spl5_1 ),
inference(forward_demodulation,[],[f5234,f56]) ).
fof(f5359,plain,
( '+'(c,sF2) = '+'(c,sF3)
| ~ spl5_1 ),
inference(forward_demodulation,[],[f5353,f32]) ).
fof(f5365,plain,
( '+'(c,sF2) = '+'(c,'0')
| ~ spl5_1
| ~ spl5_3 ),
inference(forward_demodulation,[],[f5359,f50]) ).
fof(f5368,plain,
( c = '+'(c,sF2)
| ~ spl5_1
| ~ spl5_3 ),
inference(forward_demodulation,[],[f5365,f16]) ).
fof(f5452,plain,
( ! [X0] : '==>'(c,'==>'(sF2,X0)) = '==>'(c,X0)
| ~ spl5_1
| ~ spl5_3 ),
inference(superposition,[],[f20,f5368]) ).
fof(f5892,plain,
( '==>'(c,sF1) = '==>'(sF2,sF2)
| ~ spl5_1
| ~ spl5_3 ),
inference(superposition,[],[f5452,f487]) ).
fof(f5925,plain,
( '0' = '==>'(c,sF1)
| ~ spl5_1
| ~ spl5_3 ),
inference(forward_demodulation,[],[f5892,f17]) ).
fof(f5942,plain,
( '0' = sF2
| ~ spl5_1
| ~ spl5_3 ),
inference(forward_demodulation,[],[f5925,f30]) ).
fof(f5952,plain,
( $false
| ~ spl5_1
| spl5_2
| ~ spl5_3 ),
inference(forward_subsumption_resolution,[],[f5942,f44]) ).
fof(f5953,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3 ),
inference(avatar_contradiction_clause,[],[f5952]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f46]) ).
cnf(s2,plain,
( spl5_2
| spl5_3 ),
inference(sat_conversion,[],[f51]) ).
cnf(s3,plain,
( ~ spl5_1
| ~ spl5_2
| ~ spl5_3 ),
inference(sat_conversion,[],[f52]) ).
cnf(s4,plain,
( spl5_1
| ~ spl5_2 ),
inference(sat_conversion,[],[f4334]) ).
cnf(s9,plain,
( ~ spl5_1
| ~ spl5_2
| spl5_3 ),
inference(sat_conversion,[],[f5333]) ).
cnf(s11,plain,
( ~ spl5_1
| spl5_2
| ~ spl5_3 ),
inference(sat_conversion,[],[f5953]) ).
cnf(s12,plain,
spl5_1,
inference(rat,[],[s1,s4]) ).
cnf(s13,plain,
spl5_2,
inference(rat,[],[s2,s11,s12]) ).
cnf(s14,plain,
spl5_3,
inference(rat,[],[s9,s12,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s3,s12,s13,s14]) ).
fof(f5963,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL895+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 17:05:08 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.37/2.16 % (3749753)Detected formulas, will run a generic FOF schedule.
% 9.37/2.16 % (3749761)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4187568498:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.37/2.16 % (3749764)dis-21_1_sil=8000:lcm=predicate:random_seed=3076634175: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)
% 9.37/2.16 % (3749763)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2944861114:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.37/2.16 % (3749764)Refutation not found, incomplete strategy
% 9.37/2.16 % (3749764)------------------------------
% 9.37/2.16 % (3749764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.37/2.16 % (3749764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.16 % (3749764)CaDiCaL version: 2.1.3
% 9.37/2.16 % (3749759)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=805907531:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.37/2.16 % (3749764)Termination reason: Refutation not found, incomplete strategy
% 9.37/2.16 % (3749764)Time elapsed: 0.001 s
% 9.37/2.16 % (3749764)Peak memory usage: 88 MB
% 9.37/2.16 % (3749758)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=3810269212:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.37/2.16 % (3749760)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=2463866391:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.37/2.16 % (3749762)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2216781996:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.37/2.16 % (3749761)Instruction limit reached!
% 9.37/2.16 % (3749761)------------------------------
% 9.37/2.16 % (3749761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.37/2.16 % (3749761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.16 % (3749761)CaDiCaL version: 2.1.3
% 9.37/2.16 % (3749761)Termination reason: Instruction limit
% 9.37/2.16 % (3749761)Termination phase: Saturation
% 9.37/2.16 % (3749761)Time elapsed: 0.036 s
% 9.37/2.16 % (3749761)Peak memory usage: 90 MB
% 9.37/2.16 % (3749761)Instructions burned: 110 (million)
% 9.37/2.16 % (3749762)Instruction limit reached!
% 9.37/2.16 % (3749762)------------------------------
% 9.37/2.16 % (3749762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.37/2.16 % (3749762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.16 % (3749762)CaDiCaL version: 2.1.3
% 9.37/2.16 % (3749762)Termination reason: Instruction limit
% 9.37/2.16 % (3749762)Termination phase: Saturation
% 9.37/2.16 % (3749762)Time elapsed: 0.063 s
% 9.37/2.16 % (3749762)Peak memory usage: 89 MB
% 9.37/2.16 % (3749762)Instructions burned: 120 (million)
% 9.37/2.16 % (3749763)Instruction limit reached!
% 9.37/2.16 % (3749763)------------------------------
% 9.37/2.16 % (3749763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.37/2.16 % (3749763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.16 % (3749763)CaDiCaL version: 2.1.3
% 9.37/2.16 % (3749763)Termination reason: Instruction limit
% 9.37/2.16 % (3749763)Termination phase: Saturation
% 9.37/2.16 % (3749763)Time elapsed: 0.077 s
% 9.37/2.16 % (3749763)Peak memory usage: 89 MB
% 9.37/2.16 % (3749763)Instructions burned: 140 (million)
% 9.37/2.16 % (3749772)lrs+10_1_sil=8000:sp=occurrence:random_seed=3994690414:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.37/2.16 % (3749773)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1076843201:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.37/2.16 % (3749772)Instruction limit reached!
% 9.37/2.16 % (3749772)------------------------------
% 9.37/2.16 % (3749772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.37/2.16 % (3749772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.37/2.16 % (3749772)CaDiCaL version: 2.1.3
% 9.37/2.16 % (3749772)Termination reason: Instruction limit
% 9.37/2.16 % (3749772)Termination phase: Saturation
% 9.37/2.16 % (3749772)Time elapsed: 0.086 s
% 9.00/2.31 % (3749772)Peak memory usage: 91 MB
% 9.00/2.31 % (3749772)Instructions burned: 288 (million)
% 9.00/2.31 % (3749774)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3406131925:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.00/2.31 % (3749764)------------------------------
% 9.00/2.31 % (3749764)------------------------------
% 9.00/2.31 % (3749773)Instruction limit reached!
% 9.00/2.31 % (3749773)------------------------------
% 9.00/2.31 % (3749773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.31 % (3749773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.31 % (3749773)CaDiCaL version: 2.1.3
% 9.00/2.31 % (3749773)Termination reason: Instruction limit
% 9.00/2.31 % (3749773)Termination phase: Saturation
% 9.00/2.31 % (3749773)Time elapsed: 0.092 s
% 9.00/2.31 % (3749773)Peak memory usage: 90 MB
% 9.00/2.31 % (3749773)Instructions burned: 157 (million)
% 9.00/2.31 % (3749777)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=102876061:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.00/2.31 % (3749777)Instruction limit reached!
% 9.00/2.31 % (3749777)------------------------------
% 9.00/2.31 % (3749777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.31 % (3749777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.31 % (3749777)CaDiCaL version: 2.1.3
% 9.00/2.31 % (3749777)Termination reason: Instruction limit
% 9.00/2.31 % (3749777)Termination phase: Saturation
% 9.00/2.31 % (3749777)Time elapsed: 0.078 s
% 9.00/2.31 % (3749777)Peak memory usage: 91 MB
% 9.00/2.31 % (3749777)Instructions burned: 248 (million)
% 9.00/2.31 % (3749779)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2595496636:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 9.00/2.31 % (3749774)Instruction limit reached!
% 9.00/2.31 % (3749774)------------------------------
% 9.00/2.31 % (3749774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.31 % (3749774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.31 % (3749774)CaDiCaL version: 2.1.3
% 9.00/2.31 % (3749774)Termination reason: Instruction limit
% 9.00/2.31 % (3749774)Termination phase: Saturation
% 9.00/2.31 % (3749774)Time elapsed: 0.182 s
% 9.00/2.31 % (3749774)Peak memory usage: 92 MB
% 9.00/2.31 % (3749774)Instructions burned: 325 (million)
% 9.00/2.31 % (3749780)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=394059491:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.00/2.31 % (3749782)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1219236424:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.00/2.31 % (3749782)Refutation not found, incomplete strategy
% 9.00/2.31 % (3749782)------------------------------
% 9.00/2.31 % (3749782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.31 % (3749782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.31 % (3749782)CaDiCaL version: 2.1.3
% 9.00/2.31 % (3749782)Termination reason: Refutation not found, incomplete strategy
% 9.00/2.31 % (3749782)Time elapsed: 0.001 s
% 9.00/2.31 % (3749782)Peak memory usage: 89 MB
% 9.00/2.31 % (3749784)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=486355680:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 9.00/2.31 % (3749784)Refutation not found, incomplete strategy
% 9.00/2.31 % (3749784)------------------------------
% 9.00/2.31 % (3749784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.31 % (3749784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.31 % (3749784)CaDiCaL version: 2.1.3
% 9.00/2.31 % (3749784)Termination reason: Refutation not found, incomplete strategy
% 9.00/2.31 % (3749784)Time elapsed: 0.001 s
% 9.00/2.31 % (3749784)Peak memory usage: 87 MB
% 9.00/2.31 % (3749779)Instruction limit reached!
% 9.00/2.31 % (3749779)------------------------------
% 9.00/2.31 % (3749779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.31 % (3749779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.31 % (3749779)CaDiCaL version: 2.1.3
% 9.00/2.31 % (3749779)Termination reason: Instruction limit
% 9.00/2.31 % (3749779)Termination phase: Saturation
% 9.00/2.31 % (3749779)Time elapsed: 0.188 s
% 9.00/2.31 % (3749779)Peak memory usage: 93 MB
% 9.00/2.31 % (3749779)Instructions burned: 294 (million)
% 9.00/2.31 % (3749760)Refutation not found, incomplete strategy
% 9.00/2.31 % (3749760)------------------------------
% 9.00/2.31 % (3749760)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.31 % (3749760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.31 % (3749760)CaDiCaL version: 2.1.3
% 9.00/2.31 % (3749760)Termination reason: Refutation not found, incomplete strategy
% 9.00/2.31 % (3749760)Time elapsed: 0.597 s
% 9.00/2.31 % (3749760)Peak memory usage: 128 MB
% 9.00/2.31 % (3749760)Instructions burned: 896 (million)
% 9.00/2.31 % (3749782)------------------------------
% 9.00/2.31 % (3749782)------------------------------
% 9.00/2.31 % (3749788)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1903540654:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.00/2.31 % (3749788)Refutation not found, incomplete strategy
% 9.00/2.31 % (3749788)------------------------------
% 9.00/2.31 % (3749788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.31 % (3749788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.31 % (3749788)CaDiCaL version: 2.1.3
% 9.00/2.31 % (3749788)Termination reason: Refutation not found, incomplete strategy
% 9.00/2.31 % (3749788)Time elapsed: 0.002 s
% 9.00/2.31 % (3749788)Peak memory usage: 89 MB
% 9.00/2.31 % (3749788)Instructions burned: 1 (million)
% 9.00/2.31 % (3749789)lrs+10_1_sil=8000:sp=occurrence:random_seed=2303873442:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 9.00/2.31 % (3749784)------------------------------
% 9.00/2.31 % (3749784)------------------------------
% 9.00/2.31 % (3749760)------------------------------
% 9.00/2.31 % (3749760)------------------------------
% 9.00/2.31 % (3749792)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2296975084:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.00/2.31 % (3749792)Refutation not found, incomplete strategy
% 9.00/2.31 % (3749792)------------------------------
% 9.00/2.31 % (3749792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.31 % (3749792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.31 % (3749792)CaDiCaL version: 2.1.3
% 9.00/2.31 % (3749792)Termination reason: Refutation not found, incomplete strategy
% 9.00/2.31 % (3749792)Time elapsed: 0.001 s
% 9.00/2.31 % (3749792)Peak memory usage: 88 MB
% 9.00/2.31 % (3749792)Instructions burned: 1 (million)
% 9.00/2.31 % (3749788)------------------------------
% 9.00/2.31 % (3749788)------------------------------
% 9.00/2.31 % (3749789)Instruction limit reached!
% 9.00/2.31 % (3749789)------------------------------
% 9.00/2.31 % (3749789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.31 % (3749789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.31 % (3749789)CaDiCaL version: 2.1.3
% 9.00/2.31 % (3749789)Termination reason: Instruction limit
% 9.00/2.31 % (3749789)Termination phase: Saturation
% 9.00/2.31 % (3749789)Time elapsed: 0.265 s
% 9.00/2.31 % (3749789)Peak memory usage: 96 MB
% 9.00/2.31 % (3749789)Instructions burned: 907 (million)
% 9.00/2.31 % (3749793)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1090555242:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.00/2.31 % (3749758)First to succeed.
% 9.00/2.31 % (3749796)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=784374799:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 9.00/2.31 % (3749758)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3749753"
% 9.00/2.31 % (3749795)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3024135745:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 9.00/2.31 % (3749795)Refutation not found, incomplete strategy
% 9.00/2.31 % (3749795)------------------------------
% 9.00/2.31 % (3749795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.31 % (3749795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.31 % (3749795)CaDiCaL version: 2.1.3
% 9.00/2.31 % (3749795)Termination reason: Refutation not found, incomplete strategy
% 9.00/2.31 % (3749795)Time elapsed: 0.001 s
% 9.00/2.31 % (3749795)Peak memory usage: 89 MB
% 9.00/2.31 % (3749792)------------------------------
% 9.00/2.31 % (3749792)------------------------------
% 9.00/2.32 % (3749796)Instruction limit reached!
% 9.00/2.32 % (3749796)------------------------------
% 9.00/2.32 % (3749796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.00/2.32 % (3749796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.00/2.32 % (3749796)CaDiCaL version: 2.1.3
% 9.00/2.32 % (3749796)Termination reason: Instruction limit
% 9.00/2.32 % (3749796)Termination phase: Saturation
% 9.00/2.32 % (3749796)Time elapsed: 0.192 s
% 9.00/2.32 % (3749796)Peak memory usage: 95 MB
% 9.00/2.32 % (3749796)Instructions burned: 595 (million)
% 9.00/2.32 % (3749800)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3916698040:st=3:i=13193:sd=3:ss=axioms_2986 on theBenchmark for (2986ds/13193Mi)
% 9.00/2.32 % (3749795)------------------------------
% 9.00/2.32 % (3749795)------------------------------
% 9.00/2.32 % (3749758)Refutation found. Thanks to Tanya!
% 9.00/2.32 % SZS status Theorem for theBenchmark
% 9.00/2.32 % SZS output start Proof for theBenchmark
% See solution above
% 10.83/2.41 % (3749758)------------------------------
% 10.83/2.41 % (3749758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.83/2.41 % (3749758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.83/2.41 % (3749758)CaDiCaL version: 2.1.3
% 10.83/2.41 % (3749758)Termination reason: Refutation
% 10.83/2.41 % (3749758)Time elapsed: 1.054 s
% 10.83/2.41 % (3749758)Peak memory usage: 136 MB
% 10.83/2.41 % (3749758)Instructions burned: 1648 (million)
% 10.83/2.41 % (3749758)------------------------------
% 10.83/2.41 % (3749758)------------------------------
% 10.83/2.41 % (3749753)Success in time 1.458 s
% 10.83/2.41 % Vampire exiting
%------------------------------------------------------------------------------