%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL900+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 11:56:58 AM UTC 2026
% Result : Theorem 25.03s 4.47s
% Output : Refutation 25.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 17
% Syntax : Number of formulae : 158 ( 88 unt; 6 def)
% Number of atoms : 243 ( 99 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 170 ( 85 ~; 77 |; 2 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 152 ( 0 sgn 150 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] : '+'('+'(X0,X1),X2) = '+'(X0,'+'(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f6,axiom,
! [X0,X1] :
( ( '>='(X0,X1)
& '>='(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f7,axiom,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f9,axiom,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('+'(X0,X2),'+'(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(f11,axiom,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('==>'(X2,X0),'==>'(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(f13,axiom,
! [X0,X1] : '==>'('==>'(X0,X1),X1) = '==>'('==>'(X1,X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_13) ).
fof(f14,conjecture,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f15,negated_conjecture,
~ ! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f18,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f19,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f22,plain,
! [X0,X1,X2] :
( '>='('==>'(X2,X0),'==>'(X2,X1))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f23,plain,
? [X0,X1] : '+'(X0,'==>'(X0,X1)) != '+'(X1,'==>'(X1,X0)),
inference(ennf_transformation,[],[f15]) ).
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,'==>'(sK0,sK1)) != '+'(sK1,'==>'(sK1,sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[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,[],[f19]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ '>='(X1,'==>'(X0,X2))
| '>='('+'(X0,X1),X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f34,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
! [X2,X0,X1] :
( '>='('==>'(X2,X0),'==>'(X2,X1))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f39,plain,
! [X0,X1] : '==>'('==>'(X0,X1),X1) = '==>'('==>'(X1,X0),X0),
inference(cnf_transformation,[],[f13]) ).
fof(f40,plain,
'+'(sK0,'==>'(sK0,sK1)) != '+'(sK1,'==>'(sK1,sK0)),
inference(cnf_transformation,[],[f25]) ).
fof(f41,definition,
sF2 = '==>'(sK0,sK1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f42,plain,
'==>'(sK0,sK1) = sF2,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF3 = '+'(sK0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f44,plain,
'+'(sK0,sF2) = sF3,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF4 = '==>'(sK1,sK0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f46,plain,
'==>'(sK1,sK0) = sF4,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF5 = '+'(sK1,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f48,plain,
'+'(sK1,sF4) = sF5,
inference(reorient_equations,[],[f47]) ).
fof(f49,plain,
sF3 != sF5,
inference(definition_folding,[],[f40,f48,f46,f44,f42]) ).
fof(f57,plain,
! [X2,X3,X0,X1] :
( ~ '>='('+'(X0,'+'(X1,X2)),X3)
| '>='(X2,'==>'('+'(X0,X1),X3)) ),
inference(superposition,[],[f32,f26]) ).
fof(f61,plain,
'==>'('==>'(sK0,sK1),sK1) = '==>'(sF4,sK0),
inference(superposition,[],[f39,f46]) ).
fof(f64,plain,
'==>'(sF4,sK0) = '==>'(sF2,sK1),
inference(forward_demodulation,[],[f61,f42]) ).
fof(f78,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X0,'==>'(X1,X2)) ),
inference(superposition,[],[f32,f27]) ).
fof(f80,plain,
sF3 = '+'(sF2,sK0),
inference(superposition,[],[f44,f27]) ).
fof(f81,plain,
sF5 = '+'(sF4,sK1),
inference(superposition,[],[f48,f27]) ).
fof(f109,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f27,f28]) ).
fof(f111,plain,
! [X0,X1] :
( '>='('0','==>'(X0,X1))
| ~ '>='(X0,X1) ),
inference(superposition,[],[f32,f28]) ).
fof(f117,plain,
! [X0,X1] :
( '>='('+'(X1,X0),X0)
| ~ '>='(X1,'0') ),
inference(superposition,[],[f35,f109]) ).
fof(f123,plain,
! [X0,X1] : '>='('+'(X1,X0),X0),
inference(forward_subsumption_resolution,[],[f117,f34]) ).
fof(f161,plain,
! [X0,X1] : '>='(X0,'==>'(X1,'+'(X1,X0))),
inference(resolution,[],[f29,f32]) ).
fof(f162,plain,
! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
inference(resolution,[],[f29,f33]) ).
fof(f167,plain,
! [X0,X1] :
( ~ '>='('==>'(X0,'+'(X0,X1)),X1)
| '==>'(X0,'+'(X0,X1)) = X1 ),
inference(resolution,[],[f161,f31]) ).
fof(f177,plain,
! [X0,X1] : '>='(X0,'==>'('==>'(X0,X1),X1)),
inference(resolution,[],[f162,f78]) ).
fof(f179,plain,
! [X2,X0,X1] : '>='('+'(X0,'+'(X1,'==>'(X1,'==>'(X0,X2)))),X2),
inference(resolution,[],[f162,f33]) ).
fof(f180,plain,
! [X0,X1] :
( ~ '>='(X0,'+'(X1,'==>'(X1,X0)))
| '+'(X1,'==>'(X1,X0)) = X0 ),
inference(resolution,[],[f162,f31]) ).
fof(f182,plain,
! [X0,X1] : '>='('+'('==>'(X1,X0),'==>'('==>'(X0,X1),X1)),X0),
inference(superposition,[],[f162,f39]) ).
fof(f183,plain,
'>='('+'(sK0,sF2),sK1),
inference(superposition,[],[f162,f42]) ).
fof(f184,plain,
'>='('+'(sK1,sF4),sK0),
inference(superposition,[],[f162,f46]) ).
fof(f186,plain,
! [X2,X0,X1] : '>='('+'(X0,'+'(X1,'==>'('+'(X0,X1),X2))),X2),
inference(superposition,[],[f162,f26]) ).
fof(f187,plain,
! [X0] : '>='('==>'('0',X0),X0),
inference(superposition,[],[f162,f109]) ).
fof(f188,plain,
'>='(sF5,sK0),
inference(forward_demodulation,[],[f184,f48]) ).
fof(f189,plain,
'>='(sF3,sK1),
inference(forward_demodulation,[],[f183,f44]) ).
fof(f478,plain,
! [X0,X1] : '>='('==>'('==>'(X0,X1),X1),'==>'('==>'(X1,X0),X0)),
inference(resolution,[],[f182,f32]) ).
fof(f585,plain,
! [X0,X1] :
( '==>'(X0,X1) = '==>'(X0,'+'(X0,'==>'(X0,X1)))
| ~ '>='('+'(X0,'==>'(X0,X1)),X1) ),
inference(resolution,[],[f167,f37]) ).
fof(f590,plain,
! [X0] :
( ~ '>='('==>'(X0,X0),'0')
| '0' = '==>'(X0,X0) ),
inference(superposition,[],[f167,f28]) ).
fof(f594,plain,
! [X0] :
( ~ '>='('==>'('0',X0),X0)
| '==>'('0',X0) = X0 ),
inference(superposition,[],[f167,f109]) ).
fof(f626,definition,
( spl6_11
<=> sF4 = '==>'(sK1,sF5) ),
introduced(definition,[new_symbols(definition,[spl6_11])],[avatar_definition]) ).
fof(f628,plain,
( sF4 = '==>'(sK1,sF5)
| ~ spl6_11 ),
inference(avatar_component_clause,[],[f626]) ).
fof(f635,definition,
( spl6_13
<=> sF2 = '==>'(sK0,sF3) ),
introduced(definition,[new_symbols(definition,[spl6_13])],[avatar_definition]) ).
fof(f637,plain,
( sF2 = '==>'(sK0,sF3)
| ~ spl6_13 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f643,plain,
! [X0] : '==>'('0',X0) = X0,
inference(forward_subsumption_resolution,[],[f594,f187]) ).
fof(f644,plain,
! [X0] : '0' = '==>'(X0,X0),
inference(forward_subsumption_resolution,[],[f590,f34]) ).
fof(f646,plain,
! [X0,X1] : '==>'(X0,X1) = '==>'(X0,'+'(X0,'==>'(X0,X1))),
inference(forward_subsumption_resolution,[],[f585,f162]) ).
fof(f679,plain,
sF2 = '==>'(sK0,'+'(sK0,sF2)),
inference(superposition,[],[f646,f42]) ).
fof(f680,plain,
sF4 = '==>'(sK1,'+'(sK1,sF4)),
inference(superposition,[],[f646,f46]) ).
fof(f697,plain,
sF4 = '==>'(sK1,sF5),
inference(forward_demodulation,[],[f680,f48]) ).
fof(f698,plain,
sF2 = '==>'(sK0,sF3),
inference(forward_demodulation,[],[f679,f44]) ).
fof(f701,plain,
spl6_11,
inference(avatar_split_clause,[],[f697,f626]) ).
fof(f702,plain,
spl6_13,
inference(avatar_split_clause,[],[f698,f635]) ).
fof(f756,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| ~ '>='('==>'(X0,X1),'0')
| '0' = '==>'(X0,X1) ),
inference(resolution,[],[f111,f31]) ).
fof(f780,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| '0' = '==>'(X0,X1) ),
inference(forward_subsumption_resolution,[],[f756,f34]) ).
fof(f824,plain,
! [X2,X0,X1] : '>='('+'(X0,'==>'('+'(X1,X0),X2)),'==>'(X1,X2)),
inference(resolution,[],[f186,f32]) ).
fof(f892,plain,
! [X2,X0,X1] : '>='('==>'('+'(X0,X1),X2),'==>'(X1,'==>'(X0,X2))),
inference(resolution,[],[f824,f32]) ).
fof(f1062,plain,
! [X0,X1] : '>='('+'('==>'(X0,X1),X0),X1),
inference(resolution,[],[f177,f33]) ).
fof(f2037,plain,
! [X0] : '0' = '==>'(X0,'0'),
inference(resolution,[],[f780,f34]) ).
fof(f2039,plain,
! [X0,X1] : '0' = '==>'('+'(X0,X1),X1),
inference(resolution,[],[f780,f123]) ).
fof(f2061,plain,
'0' = '==>'(sF3,sK1),
inference(resolution,[],[f780,f189]) ).
fof(f2062,plain,
'0' = '==>'(sF5,sK0),
inference(resolution,[],[f780,f188]) ).
fof(f2073,plain,
'==>'('==>'(sK0,sF5),sF5) = '==>'('0',sK0),
inference(superposition,[],[f39,f2062]) ).
fof(f2094,plain,
sK0 = '==>'('==>'(sK0,sF5),sF5),
inference(forward_demodulation,[],[f2073,f643]) ).
fof(f2102,plain,
'==>'('==>'(sK1,sF3),sF3) = '==>'('0',sK1),
inference(superposition,[],[f39,f2061]) ).
fof(f2123,plain,
sK1 = '==>'('==>'(sK1,sF3),sF3),
inference(forward_demodulation,[],[f2102,f643]) ).
fof(f2212,plain,
'0' = '==>'(sF3,sK0),
inference(superposition,[],[f2039,f80]) ).
fof(f2215,plain,
'0' = '==>'(sF5,sK1),
inference(superposition,[],[f2039,f81]) ).
fof(f2580,plain,
! [X2,X0,X1] : '>='('==>'(X0,'==>'(X1,X2)),'==>'('+'(X1,X0),X2)),
inference(resolution,[],[f179,f57]) ).
fof(f2641,plain,
! [X2,X0,X1] :
( ~ '>='('==>'('+'(X0,X1),X2),'==>'(X1,'==>'(X0,X2)))
| '==>'(X1,'==>'(X0,X2)) = '==>'('+'(X0,X1),X2) ),
inference(resolution,[],[f2580,f31]) ).
fof(f2712,plain,
! [X2,X0,X1] : '==>'(X1,'==>'(X0,X2)) = '==>'('+'(X0,X1),X2),
inference(forward_subsumption_resolution,[],[f2641,f892]) ).
fof(f2719,plain,
! [X2,X0,X1] : '==>'('+'(X0,X1),X2) = '==>'(X0,'==>'(X1,X2)),
inference(superposition,[],[f2712,f27]) ).
fof(f2749,plain,
! [X0,X1] : '0' = '==>'(X0,'==>'(X1,X0)),
inference(superposition,[],[f2039,f2712]) ).
fof(f2843,plain,
! [X2,X0,X1] : '==>'(X1,'==>'(X0,X2)) = '==>'(X0,'==>'(X1,X2)),
inference(forward_demodulation,[],[f2719,f2712]) ).
fof(f2916,plain,
! [X2,X0,X1] : '==>'(X2,'==>'('==>'(X0,X1),X1)) = '==>'('==>'(X1,X0),'==>'(X2,X0)),
inference(superposition,[],[f2843,f39]) ).
fof(f2920,plain,
! [X0] : '==>'(X0,sF2) = '==>'(sK0,'==>'(X0,sK1)),
inference(superposition,[],[f2843,f42]) ).
fof(f2921,plain,
( ! [X0] : '==>'(X0,sF2) = '==>'(sK0,'==>'(X0,sF3))
| ~ spl6_13 ),
inference(superposition,[],[f2843,f637]) ).
fof(f2922,plain,
! [X0] : '==>'(X0,sF4) = '==>'(sK1,'==>'(X0,sK0)),
inference(superposition,[],[f2843,f46]) ).
fof(f2923,plain,
( ! [X0] : '==>'(X0,sF4) = '==>'(sK1,'==>'(X0,sF5))
| ~ spl6_11 ),
inference(superposition,[],[f2843,f628]) ).
fof(f3087,plain,
'==>'(sK0,sF4) = '==>'(sK1,'0'),
inference(superposition,[],[f2922,f644]) ).
fof(f3144,plain,
'0' = '==>'(sK0,sF4),
inference(forward_demodulation,[],[f3087,f2037]) ).
fof(f3153,plain,
'==>'(sK1,sF2) = '==>'(sK0,'0'),
inference(superposition,[],[f2920,f644]) ).
fof(f3208,plain,
'0' = '==>'(sK1,sF2),
inference(forward_demodulation,[],[f3153,f2037]) ).
fof(f3813,plain,
'==>'('0',sF2) = '==>'('==>'(sF2,sK1),sK1),
inference(superposition,[],[f39,f3208]) ).
fof(f3851,plain,
sF2 = '==>'('==>'(sF2,sK1),sK1),
inference(forward_demodulation,[],[f3813,f643]) ).
fof(f3865,plain,
'==>'('==>'(sF4,sK0),sK0) = '==>'('0',sF4),
inference(superposition,[],[f39,f3144]) ).
fof(f3903,plain,
sF4 = '==>'('==>'(sF4,sK0),sK0),
inference(forward_demodulation,[],[f3865,f643]) ).
fof(f3912,plain,
sF4 = '==>'('==>'(sF2,sK1),sK0),
inference(forward_demodulation,[],[f3903,f64]) ).
fof(f4990,plain,
( ! [X0] : '==>'(X0,'==>'('==>'(sF3,sK0),sK0)) = '==>'(sF2,'==>'(X0,sF3))
| ~ spl6_13 ),
inference(superposition,[],[f2916,f637]) ).
fof(f4996,plain,
( ! [X0] : '==>'(X0,'==>'('==>'(sF5,sK1),sK1)) = '==>'(sF4,'==>'(X0,sF5))
| ~ spl6_11 ),
inference(superposition,[],[f2916,f628]) ).
fof(f5222,plain,
( ! [X0] : '==>'(X0,'==>'('0',sK1)) = '==>'(sF4,'==>'(X0,sF5))
| ~ spl6_11 ),
inference(forward_demodulation,[],[f4996,f2215]) ).
fof(f5226,plain,
( ! [X0] : '==>'(X0,'==>'('0',sK0)) = '==>'(sF2,'==>'(X0,sF3))
| ~ spl6_13 ),
inference(forward_demodulation,[],[f4990,f2212]) ).
fof(f5264,plain,
( ! [X0] : '==>'(X0,sK1) = '==>'(sF4,'==>'(X0,sF5))
| ~ spl6_11 ),
inference(forward_demodulation,[],[f5222,f643]) ).
fof(f5266,plain,
( ! [X0] : '==>'(X0,sK0) = '==>'(sF2,'==>'(X0,sF3))
| ~ spl6_13 ),
inference(forward_demodulation,[],[f5226,f643]) ).
fof(f34420,plain,
( '==>'(sF2,sK1) = '==>'('==>'(sK1,sF3),sK0)
| ~ spl6_13 ),
inference(superposition,[],[f5266,f2123]) ).
fof(f34680,plain,
( '==>'(sK1,'==>'(sF2,sK1)) = '==>'('==>'(sK1,sF3),sF4)
| ~ spl6_13 ),
inference(superposition,[],[f2922,f34420]) ).
fof(f34718,plain,
( '>='('==>'('==>'(sF2,sK1),sK0),'==>'('==>'(sK0,'==>'(sK1,sF3)),'==>'(sK1,sF3)))
| ~ spl6_13 ),
inference(superposition,[],[f478,f34420]) ).
fof(f34838,plain,
( '>='('==>'('==>'(sF2,sK1),sK0),'==>'('==>'(sK1,sF2),'==>'(sK1,sF3)))
| ~ spl6_13 ),
inference(forward_demodulation,[],[f34718,f2921]) ).
fof(f34859,plain,
( '0' = '==>'('==>'(sK1,sF3),sF4)
| ~ spl6_13 ),
inference(forward_demodulation,[],[f34680,f2749]) ).
fof(f34883,plain,
( '>='('==>'('==>'(sF2,sK1),sK0),'==>'('0','==>'(sK1,sF3)))
| ~ spl6_13 ),
inference(forward_demodulation,[],[f34838,f3208]) ).
fof(f34897,plain,
( '>='('==>'('==>'(sF2,sK1),sK0),'==>'(sK1,sF3))
| ~ spl6_13 ),
inference(forward_demodulation,[],[f34883,f643]) ).
fof(f34910,plain,
( '>='(sF4,'==>'(sK1,sF3))
| ~ spl6_13 ),
inference(forward_demodulation,[],[f34897,f3912]) ).
fof(f34956,plain,
( ~ '>='(sF4,'+'('==>'(sK1,sF3),'0'))
| sF4 = '+'('==>'(sK1,sF3),'0')
| ~ spl6_13 ),
inference(superposition,[],[f180,f34859]) ).
fof(f35096,plain,
( ~ '>='(sF4,'==>'(sK1,sF3))
| sF4 = '+'('==>'(sK1,sF3),'0')
| ~ spl6_13 ),
inference(forward_demodulation,[],[f34956,f28]) ).
fof(f35142,plain,
( sF4 = '+'('==>'(sK1,sF3),'0')
| ~ spl6_13 ),
inference(forward_subsumption_resolution,[],[f35096,f34910]) ).
fof(f35166,plain,
( sF4 = '==>'(sK1,sF3)
| ~ spl6_13 ),
inference(forward_demodulation,[],[f35142,f28]) ).
fof(f35222,plain,
( '>='('+'(sF4,sK1),sF3)
| ~ spl6_13 ),
inference(superposition,[],[f1062,f35166]) ).
fof(f35330,plain,
( '>='(sF5,sF3)
| ~ spl6_13 ),
inference(forward_demodulation,[],[f35222,f81]) ).
fof(f46017,plain,
( '==>'(sF4,sK0) = '==>'('==>'(sK0,sF5),sK1)
| ~ spl6_11 ),
inference(superposition,[],[f5264,f2094]) ).
fof(f46283,plain,
( '==>'(sF2,sK1) = '==>'('==>'(sK0,sF5),sK1)
| ~ spl6_11 ),
inference(forward_demodulation,[],[f46017,f64]) ).
fof(f46344,plain,
( '>='('==>'(sK0,sF5),'==>'('==>'(sF2,sK1),sK1))
| ~ spl6_11 ),
inference(superposition,[],[f177,f46283]) ).
fof(f46350,plain,
( '>='('==>'('==>'(sF2,sK1),sK1),'==>'('==>'(sK1,'==>'(sK0,sF5)),'==>'(sK0,sF5)))
| ~ spl6_11 ),
inference(superposition,[],[f478,f46283]) ).
fof(f46487,plain,
( '>='('==>'('==>'(sF2,sK1),sK1),'==>'('==>'(sK0,sF4),'==>'(sK0,sF5)))
| ~ spl6_11 ),
inference(forward_demodulation,[],[f46350,f2923]) ).
fof(f46499,plain,
( '>='('==>'(sK0,sF5),sF2)
| ~ spl6_11 ),
inference(forward_demodulation,[],[f46344,f3851]) ).
fof(f46528,plain,
( '>='('==>'('==>'(sF2,sK1),sK1),'==>'('0','==>'(sK0,sF5)))
| ~ spl6_11 ),
inference(forward_demodulation,[],[f46487,f3144]) ).
fof(f46546,plain,
( '>='('==>'('==>'(sF2,sK1),sK1),'==>'(sK0,sF5))
| ~ spl6_11 ),
inference(forward_demodulation,[],[f46528,f643]) ).
fof(f46563,plain,
( '>='(sF2,'==>'(sK0,sF5))
| ~ spl6_11 ),
inference(forward_demodulation,[],[f46546,f3851]) ).
fof(f47256,plain,
( ~ '>='(sF2,'==>'(sK0,sF5))
| sF2 = '==>'(sK0,sF5)
| ~ spl6_11 ),
inference(resolution,[],[f46499,f31]) ).
fof(f47257,plain,
( sF2 = '==>'(sK0,sF5)
| ~ spl6_11 ),
inference(forward_subsumption_resolution,[],[f47256,f46563]) ).
fof(f47294,plain,
( ~ '>='(sF5,'+'(sK0,sF2))
| '+'(sK0,sF2) = sF5
| ~ spl6_11 ),
inference(superposition,[],[f180,f47257]) ).
fof(f47453,plain,
( ~ '>='(sF5,sF3)
| '+'(sK0,sF2) = sF5
| ~ spl6_11 ),
inference(forward_demodulation,[],[f47294,f44]) ).
fof(f47488,plain,
( '+'(sK0,sF2) = sF5
| ~ spl6_11
| ~ spl6_13 ),
inference(forward_subsumption_resolution,[],[f47453,f35330]) ).
fof(f47505,plain,
( sF3 = sF5
| ~ spl6_11
| ~ spl6_13 ),
inference(forward_demodulation,[],[f47488,f44]) ).
fof(f47512,plain,
( $false
| ~ spl6_11
| ~ spl6_13 ),
inference(forward_subsumption_resolution,[],[f47505,f49]) ).
fof(f47513,plain,
( ~ spl6_11
| ~ spl6_13 ),
inference(avatar_contradiction_clause,[],[f47512]) ).
cnf(s8,plain,
spl6_11,
inference(sat_conversion,[],[f701]) ).
cnf(s9,plain,
spl6_13,
inference(sat_conversion,[],[f702]) ).
cnf(s126,plain,
( ~ spl6_11
| ~ spl6_13 ),
inference(sat_conversion,[],[f47513]) ).
cnf(s127,plain,
~ spl6_11,
inference(rat,[],[s126,s9]) ).
cnf(s131,plain,
$false,
inference(rat,[],[s8,s127]) ).
fof(f47514,plain,
$false,
inference(avatar_sat_refutation,[],[s131]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LCL900+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 17:10:34 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 9.69/2.25 % (2855704)Detected formulas, will run a generic FOF schedule.
% 9.69/2.25 % (2855713)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=550452755:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.69/2.25 % (2855713)Instruction limit reached!
% 9.69/2.25 % (2855713)------------------------------
% 9.69/2.25 % (2855713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.25 % (2855713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.25 % (2855713)CaDiCaL version: 2.1.3
% 9.69/2.25 % (2855713)Termination reason: Instruction limit
% 9.69/2.25 % (2855713)Termination phase: Saturation
% 9.69/2.25 % (2855713)Time elapsed: 0.033 s
% 9.69/2.25 % (2855713)Peak memory usage: 88 MB
% 9.69/2.25 % (2855713)Instructions burned: 121 (million)
% 9.69/2.25 % (2855709)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=983766791:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.69/2.25 % (2855714)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=163427029:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.69/2.25 % (2855712)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1662874341:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.69/2.25 % (2855711)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=4245932534:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.69/2.25 % (2855710)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=1564620757:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.69/2.25 % (2855712)Refutation not found, incomplete strategy
% 9.69/2.25 % (2855712)------------------------------
% 9.69/2.25 % (2855712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.25 % (2855712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.25 % (2855712)CaDiCaL version: 2.1.3
% 9.69/2.25 % (2855712)Termination reason: Refutation not found, incomplete strategy
% 9.69/2.25 % (2855712)Time elapsed: 0.001 s
% 9.69/2.25 % (2855712)Peak memory usage: 88 MB
% 9.69/2.25 % (2855715)dis-21_1_sil=8000:lcm=predicate:random_seed=4107412647: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)
% 9.69/2.25 % (2855717)lrs+10_1_sil=8000:sp=occurrence:random_seed=190826782:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.69/2.25 % (2855714)Instruction limit reached!
% 9.69/2.25 % (2855714)------------------------------
% 9.69/2.25 % (2855714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.25 % (2855714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.25 % (2855714)CaDiCaL version: 2.1.3
% 9.69/2.25 % (2855714)Termination reason: Instruction limit
% 9.69/2.25 % (2855714)Termination phase: Saturation
% 9.69/2.25 % (2855714)Time elapsed: 0.084 s
% 9.69/2.25 % (2855714)Peak memory usage: 89 MB
% 9.69/2.25 % (2855714)Instructions burned: 139 (million)
% 9.69/2.25 % (2855715)Instruction limit reached!
% 9.69/2.25 % (2855715)------------------------------
% 9.69/2.25 % (2855715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.25 % (2855715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.25 % (2855715)CaDiCaL version: 2.1.3
% 9.69/2.25 % (2855715)Termination reason: Instruction limit
% 9.69/2.25 % (2855715)Termination phase: Saturation
% 9.69/2.25 % (2855715)Time elapsed: 0.084 s
% 9.69/2.25 % (2855715)Peak memory usage: 89 MB
% 9.69/2.25 % (2855715)Instructions burned: 130 (million)
% 9.69/2.25 % (2855717)Instruction limit reached!
% 9.69/2.25 % (2855717)------------------------------
% 9.69/2.25 % (2855717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.69/2.25 % (2855717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.69/2.25 % (2855717)CaDiCaL version: 2.1.3
% 9.69/2.25 % (2855717)Termination reason: Instruction limit
% 9.69/2.25 % (2855717)Termination phase: Saturation
% 9.69/2.25 % (2855717)Time elapsed: 0.094 s
% 9.69/2.25 % (2855717)Peak memory usage: 91 MB
% 9.69/2.25 % (2855717)Instructions burned: 287 (million)
% 9.69/2.25 % (2855725)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2773822681:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 13.31/2.97 % (2855726)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4163351336:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 13.31/2.97 % (2855712)------------------------------
% 13.31/2.97 % (2855712)------------------------------
% 13.31/2.97 % (2855727)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=3518341637:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 13.31/2.97 % (2855725)Instruction limit reached!
% 13.31/2.97 % (2855725)------------------------------
% 13.31/2.97 % (2855725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/2.97 % (2855725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/2.97 % (2855725)CaDiCaL version: 2.1.3
% 13.31/2.97 % (2855725)Termination reason: Instruction limit
% 13.31/2.97 % (2855725)Termination phase: Saturation
% 13.31/2.97 % (2855725)Time elapsed: 0.098 s
% 13.31/2.97 % (2855725)Peak memory usage: 90 MB
% 13.31/2.97 % (2855725)Instructions burned: 159 (million)
% 13.31/2.97 % (2855727)Instruction limit reached!
% 13.31/2.97 % (2855727)------------------------------
% 13.31/2.97 % (2855727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/2.97 % (2855727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/2.97 % (2855727)CaDiCaL version: 2.1.3
% 13.31/2.97 % (2855727)Termination reason: Instruction limit
% 13.31/2.97 % (2855727)Termination phase: Saturation
% 13.31/2.97 % (2855727)Time elapsed: 0.078 s
% 13.31/2.97 % (2855727)Peak memory usage: 91 MB
% 13.31/2.97 % (2855727)Instructions burned: 251 (million)
% 13.31/2.97 % (2855726)Instruction limit reached!
% 13.31/2.97 % (2855726)------------------------------
% 13.31/2.97 % (2855726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/2.97 % (2855726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/2.97 % (2855726)CaDiCaL version: 2.1.3
% 13.31/2.97 % (2855726)Termination reason: Instruction limit
% 13.31/2.97 % (2855726)Termination phase: Saturation
% 13.31/2.97 % (2855726)Time elapsed: 0.158 s
% 13.31/2.97 % (2855726)Peak memory usage: 89 MB
% 13.31/2.97 % (2855726)Instructions burned: 326 (million)
% 13.31/2.97 % (2855730)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3841805393:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 13.31/2.97 % (2855730)Refutation not found, incomplete strategy
% 13.31/2.97 % (2855730)------------------------------
% 13.31/2.97 % (2855730)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/2.97 % (2855730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/2.97 % (2855730)CaDiCaL version: 2.1.3
% 13.31/2.97 % (2855730)Termination reason: Refutation not found, incomplete strategy
% 13.31/2.97 % (2855730)Time elapsed: 0.001 s
% 13.31/2.97 % (2855730)Peak memory usage: 88 MB
% 13.31/2.97 % (2855733)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3434932347:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 13.31/2.97 % (2855733)Refutation not found, incomplete strategy
% 13.31/2.97 % (2855733)------------------------------
% 13.31/2.97 % (2855733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/2.97 % (2855733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/2.97 % (2855733)CaDiCaL version: 2.1.3
% 13.31/2.97 % (2855733)Termination reason: Refutation not found, incomplete strategy
% 13.31/2.97 % (2855733)Time elapsed: 0.001 s
% 13.31/2.97 % (2855733)Peak memory usage: 88 MB
% 13.31/2.97 % (2855732)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3383071651:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 13.31/2.97 % (2855734)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4021228583:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 13.31/2.97 % (2855734)Refutation not found, incomplete strategy
% 13.31/2.97 % (2855734)------------------------------
% 13.31/2.97 % (2855734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.31/2.97 % (2855734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.31/2.97 % (2855734)CaDiCaL version: 2.1.3
% 13.31/2.97 % (2855734)Termination reason: Refutation not found, incomplete strategy
% 13.31/2.97 % (2855734)Time elapsed: 0.001 s
% 25.03/4.43 % (2855734)Peak memory usage: 88 MB
% 25.03/4.43 % (2855733)------------------------------
% 25.03/4.43 % (2855733)------------------------------
% 25.03/4.43 % (2855711)Refutation not found, incomplete strategy
% 25.03/4.43 % (2855711)------------------------------
% 25.03/4.43 % (2855711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.43 % (2855711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.43 % (2855711)CaDiCaL version: 2.1.3
% 25.03/4.43 % (2855711)Termination reason: Refutation not found, incomplete strategy
% 25.03/4.43 % (2855711)Time elapsed: 0.594 s
% 25.03/4.43 % (2855711)Peak memory usage: 126 MB
% 25.03/4.43 % (2855711)Instructions burned: 884 (million)
% 25.03/4.43 % (2855730)------------------------------
% 25.03/4.43 % (2855730)------------------------------
% 25.03/4.43 % (2855739)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2669065103:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 25.03/4.43 % (2855739)Instruction limit reached!
% 25.03/4.43 % (2855739)------------------------------
% 25.03/4.43 % (2855739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.43 % (2855739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.43 % (2855739)CaDiCaL version: 2.1.3
% 25.03/4.43 % (2855739)Termination reason: Instruction limit
% 25.03/4.43 % (2855739)Termination phase: Saturation
% 25.03/4.43 % (2855739)Time elapsed: 0.039 s
% 25.03/4.43 % (2855739)Peak memory usage: 89 MB
% 25.03/4.43 % (2855739)Instructions burned: 117 (million)
% 25.03/4.43 % (2855734)------------------------------
% 25.03/4.43 % (2855734)------------------------------
% 25.03/4.43 % (2855740)lrs+10_1_sil=8000:sp=occurrence:random_seed=4127242678:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 25.03/4.43 % (2855742)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1250260510:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 25.03/4.43 % (2855742)Refutation not found, incomplete strategy
% 25.03/4.43 % (2855742)------------------------------
% 25.03/4.43 % (2855742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.43 % (2855742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.43 % (2855742)CaDiCaL version: 2.1.3
% 25.03/4.43 % (2855742)Termination reason: Refutation not found, incomplete strategy
% 25.03/4.43 % (2855742)Time elapsed: 0.001 s
% 25.03/4.43 % (2855742)Peak memory usage: 88 MB
% 25.03/4.43 % (2855711)------------------------------
% 25.03/4.43 % (2855711)------------------------------
% 25.03/4.43 % (2855743)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=758391941:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 25.03/4.43 % (2855742)------------------------------
% 25.03/4.43 % (2855742)------------------------------
% 25.03/4.43 % (2855746)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1247401325:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 25.03/4.43 % (2855748)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2565979037:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 25.03/4.43 % (2855746)Instruction limit reached!
% 25.03/4.43 % (2855746)------------------------------
% 25.03/4.43 % (2855746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.43 % (2855746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.43 % (2855746)CaDiCaL version: 2.1.3
% 25.03/4.43 % (2855746)Termination reason: Instruction limit
% 25.03/4.43 % (2855746)Termination phase: Saturation
% 25.03/4.43 % (2855746)Time elapsed: 0.070 s
% 25.03/4.43 % (2855746)Peak memory usage: 89 MB
% 25.03/4.43 % (2855746)Instructions burned: 135 (million)
% 25.03/4.43 % (2855751)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=83996271:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 25.03/4.43 % (2855748)Instruction limit reached!
% 25.03/4.43 % (2855748)------------------------------
% 25.03/4.43 % (2855748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.43 % (2855748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.43 % (2855748)CaDiCaL version: 2.1.3
% 25.03/4.43 % (2855748)Termination reason: Instruction limit
% 25.03/4.43 % (2855748)Termination phase: Saturation
% 25.03/4.43 % (2855748)Time elapsed: 0.213 s
% 25.03/4.43 % (2855748)Peak memory usage: 95 MB
% 25.03/4.43 % (2855748)Instructions burned: 594 (million)
% 25.03/4.47 % (2855740)Instruction limit reached!
% 25.03/4.47 % (2855740)------------------------------
% 25.03/4.47 % (2855740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.47 % (2855740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.47 % (2855740)CaDiCaL version: 2.1.3
% 25.03/4.47 % (2855740)Termination reason: Instruction limit
% 25.03/4.47 % (2855740)Termination phase: Saturation
% 25.03/4.47 % (2855740)Time elapsed: 0.542 s
% 25.03/4.47 % (2855740)Peak memory usage: 95 MB
% 25.03/4.47 % (2855740)Instructions burned: 909 (million)
% 25.03/4.47 % (2855753)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2524201054:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/125Mi)
% 25.03/4.47 % (2855753)Instruction limit reached!
% 25.03/4.47 % (2855753)------------------------------
% 25.03/4.47 % (2855753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.47 % (2855753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.47 % (2855753)CaDiCaL version: 2.1.3
% 25.03/4.47 % (2855753)Termination reason: Instruction limit
% 25.03/4.47 % (2855753)Termination phase: Saturation
% 25.03/4.47 % (2855753)Time elapsed: 0.043 s
% 25.03/4.47 % (2855753)Peak memory usage: 90 MB
% 25.03/4.47 % (2855753)Instructions burned: 126 (million)
% 25.03/4.47 % (2855755)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=411113508:i=134:gtgl=5:slsql=off:gtg=exists_sym_2985 on theBenchmark for (2985ds/134Mi)
% 25.03/4.47 % (2855756)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1102289832:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/141Mi)
% 25.03/4.47 % (2855756)Refutation not found, incomplete strategy
% 25.03/4.47 % (2855756)------------------------------
% 25.03/4.47 % (2855756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.47 % (2855756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.47 % (2855756)CaDiCaL version: 2.1.3
% 25.03/4.47 % (2855756)Termination reason: Refutation not found, incomplete strategy
% 25.03/4.47 % (2855756)Time elapsed: 0.0000 s
% 25.03/4.47 % (2855756)Peak memory usage: 88 MB
% 25.03/4.47 % (2855755)Instruction limit reached!
% 25.03/4.47 % (2855755)------------------------------
% 25.03/4.47 % (2855755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.47 % (2855755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.47 % (2855755)CaDiCaL version: 2.1.3
% 25.03/4.47 % (2855755)Termination reason: Instruction limit
% 25.03/4.47 % (2855755)Termination phase: Saturation
% 25.03/4.47 % (2855755)Time elapsed: 0.083 s
% 25.03/4.47 % (2855755)Peak memory usage: 89 MB
% 25.03/4.47 % (2855755)Instructions burned: 135 (million)
% 25.03/4.47 % (2855756)------------------------------
% 25.03/4.47 % (2855756)------------------------------
% 25.03/4.47 % (2855759)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3694014909:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2983 on theBenchmark for (2983ds/431Mi)
% 25.03/4.47 % (2855759)Refutation not found, incomplete strategy
% 25.03/4.47 % (2855759)------------------------------
% 25.03/4.47 % (2855759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.47 % (2855759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.47 % (2855759)CaDiCaL version: 2.1.3
% 25.03/4.47 % (2855759)Termination reason: Refutation not found, incomplete strategy
% 25.03/4.47 % (2855759)Time elapsed: 0.001 s
% 25.03/4.47 % (2855759)Peak memory usage: 88 MB
% 25.03/4.47 % (2855760)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=792932899:i=6060:aac=none:ins=25_2982 on theBenchmark for (2982ds/6060Mi)
% 25.03/4.47 % (2855759)------------------------------
% 25.03/4.47 % (2855759)------------------------------
% 25.03/4.47 % (2855732)Instruction limit reached!
% 25.03/4.47 % (2855732)------------------------------
% 25.03/4.47 % (2855732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.47 % (2855732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.47 % (2855732)CaDiCaL version: 2.1.3
% 25.03/4.47 % (2855732)Termination reason: Instruction limit
% 25.03/4.47 % (2855732)Termination phase: Saturation
% 25.03/4.47 % (2855732)Time elapsed: 1.505 s
% 25.03/4.47 % (2855732)Peak memory usage: 142 MB
% 25.03/4.47 % (2855732)Instructions burned: 2350 (million)
% 25.03/4.47 % (2855763)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4192011592:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2979 on theBenchmark for (2979ds/150Mi)
% 25.03/4.47 % (2855764)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2626553206:i=14155:bd=all_2978 on theBenchmark for (2978ds/14155Mi)
% 25.03/4.47 % (2855763)Instruction limit reached!
% 25.03/4.47 % (2855763)------------------------------
% 25.03/4.47 % (2855763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.47 % (2855763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.47 % (2855763)CaDiCaL version: 2.1.3
% 25.03/4.47 % (2855763)Termination reason: Instruction limit
% 25.03/4.47 % (2855763)Termination phase: Saturation
% 25.03/4.47 % (2855763)Time elapsed: 0.090 s
% 25.03/4.47 % (2855763)Peak memory usage: 91 MB
% 25.03/4.47 % (2855763)Instructions burned: 151 (million)
% 25.03/4.47 % (2855767)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=2199349713:i=667:av=off:fsr=off_2977 on theBenchmark for (2977ds/667Mi)
% 25.03/4.47 % (2855767)Refutation not found, incomplete strategy
% 25.03/4.47 % (2855767)------------------------------
% 25.03/4.47 % (2855767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.47 % (2855767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.47 % (2855767)CaDiCaL version: 2.1.3
% 25.03/4.47 % (2855767)Termination reason: Refutation not found, incomplete strategy
% 25.03/4.47 % (2855767)Time elapsed: 0.001 s
% 25.03/4.47 % (2855767)Peak memory usage: 88 MB
% 25.03/4.47 % (2855767)------------------------------
% 25.03/4.47 % (2855767)------------------------------
% 25.03/4.47 % (2855769)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=1413786279:s2a=on:i=185:s2at=1.8:fdi=4_2973 on theBenchmark for (2973ds/185Mi)
% 25.03/4.47 % (2855769)Instruction limit reached!
% 25.03/4.47 % (2855769)------------------------------
% 25.03/4.47 % (2855769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.47 % (2855769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.47 % (2855769)CaDiCaL version: 2.1.3
% 25.03/4.47 % (2855769)Termination reason: Instruction limit
% 25.03/4.47 % (2855769)Termination phase: Saturation
% 25.03/4.47 % (2855769)Time elapsed: 0.110 s
% 25.03/4.47 % (2855769)Peak memory usage: 90 MB
% 25.03/4.47 % (2855769)Instructions burned: 186 (million)
% 25.03/4.47 % (2855771)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=4001114388:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2970 on theBenchmark for (2970ds/193Mi)
% 25.03/4.47 % (2855771)Instruction limit reached!
% 25.03/4.47 % (2855771)------------------------------
% 25.03/4.47 % (2855771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.47 % (2855771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.47 % (2855771)CaDiCaL version: 2.1.3
% 25.03/4.47 % (2855771)Termination reason: Instruction limit
% 25.03/4.47 % (2855771)Termination phase: Saturation
% 25.03/4.47 % (2855771)Time elapsed: 0.125 s
% 25.03/4.47 % (2855771)Peak memory usage: 93 MB
% 25.03/4.47 % (2855771)Instructions burned: 193 (million)
% 25.03/4.47 % (2855709)First to succeed.
% 25.03/4.47 % (2855773)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=4003063229:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2968 on theBenchmark for (2968ds/4850Mi)
% 25.03/4.47 % (2855709)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2855704"
% 25.03/4.47 % (2855773)Refutation not found, incomplete strategy
% 25.03/4.47 % (2855773)------------------------------
% 25.03/4.47 % (2855773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.03/4.47 % (2855773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.03/4.47 % (2855773)CaDiCaL version: 2.1.3
% 25.03/4.47 % (2855773)Termination reason: Refutation not found, incomplete strategy
% 25.03/4.47 % (2855773)Time elapsed: 0.001 s
% 25.03/4.47 % (2855773)Peak memory usage: 88 MB
% 25.03/4.47 % (2855760)Also succeeded, but the first one will report.
% 25.03/4.47 % (2855773)------------------------------
% 25.03/4.47 % (2855773)------------------------------
% 25.03/4.47 % (2855709)Refutation found. Thanks to Tanya!
% 25.03/4.47 % SZS status Theorem for theBenchmark
% 25.03/4.47 % SZS output start Proof for theBenchmark
% See solution above
% 25.98/4.68 % (2855709)------------------------------
% 25.98/4.68 % (2855709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.98/4.68 % (2855709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.98/4.68 % (2855709)CaDiCaL version: 2.1.3
% 25.98/4.68 % (2855709)Termination reason: Refutation
% 25.98/4.68 % (2855709)Time elapsed: 3.173 s
% 25.98/4.68 % (2855709)Peak memory usage: 170 MB
% 25.98/4.68 % (2855709)Instructions burned: 5262 (million)
% 25.98/4.68 % (2855709)------------------------------
% 25.98/4.68 % (2855709)------------------------------
% 25.98/4.68 % (2855704)Success in time 3.597 s
% 25.98/4.68 % Vampire exiting
%------------------------------------------------------------------------------