%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO445+1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 09:52:40 AM UTC 2026
% Result : Theorem 5.27s 2.44s
% Output : Refutation 6.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 6 unt; 3 def)
% Number of atoms : 92 ( 55 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 90 ( 39 ~; 38 |; 6 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 60 ( 0 sgn 47 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2796,axiom,
! [X0,X1,X2] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aDOTu_SYM) ).
fof(f3002,axiom,
! [X0,X1,X2] :
( ! [X3] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X3))),s(cart(real,X0),X1))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X3))),s(cart(real,X0),X2)))
<=> s(cart(real,X0),X1) = s(cart(real,X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aVECTORu_EQu_LDOT) ).
fof(f3003,conjecture,
! [X0,X1,X2] :
( ! [X3] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X3))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X3)))
<=> s(cart(real,X0),X1) = s(cart(real,X0),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aVECTORu_EQu_RDOT) ).
fof(f3004,negated_conjecture,
~ ! [X0,X1,X2] :
( ! [X3] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X3))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X3)))
<=> s(cart(real,X0),X1) = s(cart(real,X0),X2) ),
inference(negated_conjecture,[status(cth)],[f3003]) ).
fof(f3011,plain,
? [X0,X1,X2] :
( ! [X3] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X3))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X3)))
<~> s(cart(real,X0),X1) = s(cart(real,X0),X2) ),
inference(ennf_transformation,[],[f3004]) ).
fof(f3023,plain,
? [X0,X1,X2] :
( ( s(cart(real,X0),X2) != s(cart(real,X0),X1)
| ? [X3] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X3))) != s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X3))) )
& ( s(cart(real,X0),X1) = s(cart(real,X0),X2)
| ! [X3] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X3))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X3))) ) ),
inference(nnf_transformation,[],[f3011]) ).
fof(f3024,plain,
? [X0,X1,X2] :
( ( s(cart(real,X0),X2) != s(cart(real,X0),X1)
| ? [X3] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X3))) != s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X3))) )
& ( s(cart(real,X0),X1) = s(cart(real,X0),X2)
| ! [X4] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X4))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X4))) ) ),
inference(rectify,[],[f3023]) ).
fof(f3025,plain,
( ( s(cart(real,sK0),sK2) != s(cart(real,sK0),sK1)
| s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK2))),s(cart(real,sK0),sK3))) != s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK1))),s(cart(real,sK0),sK3))) )
& ( s(cart(real,sK0),sK2) = s(cart(real,sK0),sK1)
| ! [X4] : s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK2))),s(cart(real,sK0),X4))) = s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK1))),s(cart(real,sK0),X4))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f3024]) ).
fof(f3045,plain,
! [X0,X1,X2] :
( ( ! [X3] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X3))),s(cart(real,X0),X1))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X3))),s(cart(real,X0),X2)))
| s(cart(real,X0),X2) != s(cart(real,X0),X1) )
& ( s(cart(real,X0),X1) = s(cart(real,X0),X2)
| ? [X3] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X3))),s(cart(real,X0),X1))) != s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X3))),s(cart(real,X0),X2))) ) ),
inference(nnf_transformation,[],[f3002]) ).
fof(f3046,plain,
! [X0,X1,X2] :
( ( ! [X3] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X3))),s(cart(real,X0),X1))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X3))),s(cart(real,X0),X2)))
| s(cart(real,X0),X2) != s(cart(real,X0),X1) )
& ( s(cart(real,X0),X1) = s(cart(real,X0),X2)
| ? [X4] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X4))),s(cart(real,X0),X1))) != s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X4))),s(cart(real,X0),X2))) ) ),
inference(rectify,[],[f3045]) ).
fof(f3047,plain,
! [X0,X1,X2] :
( ( ! [X3] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X3))),s(cart(real,X0),X1))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X3))),s(cart(real,X0),X2)))
| s(cart(real,X0),X2) != s(cart(real,X0),X1) )
& ( s(cart(real,X0),X1) = s(cart(real,X0),X2)
| s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),sK25(X0,X1,X2)))),s(cart(real,X0),X1))) != s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),sK25(X0,X1,X2)))),s(cart(real,X0),X2))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X4,sK25(X0,X1,X2))],[f3046]) ).
fof(f3065,plain,
! [X4] :
( s(cart(real,sK0),sK2) = s(cart(real,sK0),sK1)
| s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK2))),s(cart(real,sK0),X4))) = s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK1))),s(cart(real,sK0),X4))) ),
inference(cnf_transformation,[],[f3025]) ).
fof(f3066,plain,
( s(cart(real,sK0),sK2) != s(cart(real,sK0),sK1)
| s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK2))),s(cart(real,sK0),sK3))) != s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK1))),s(cart(real,sK0),sK3))) ),
inference(cnf_transformation,[],[f3025]) ).
fof(f3099,plain,
! [X2,X0,X1] :
( s(cart(real,X0),X2) = s(cart(real,X0),X1)
| s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),sK25(X0,X1,X2)))),s(cart(real,X0),X1))) != s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),sK25(X0,X1,X2)))),s(cart(real,X0),X2))) ),
inference(cnf_transformation,[],[f3047]) ).
fof(f3131,plain,
! [X2,X0,X1] : s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),X2))) = s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),X1))),
inference(cnf_transformation,[],[f2796]) ).
fof(f3134,plain,
! [X2,X0,X1] :
( s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),sK25(X0,X1,X2)))),s(cart(real,X0),X1))) != s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),sK25(X0,X1,X2))))
| s(cart(real,X0),X2) = s(cart(real,X0),X1) ),
inference(forward_demodulation,[],[f3099,f3131]) ).
fof(f3136,definition,
( spl34_1
<=> ! [X4] : s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK2))),s(cart(real,sK0),X4))) = s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK1))),s(cart(real,sK0),X4))) ),
introduced(definition,[new_symbols(definition,[spl34_1])],[avatar_definition]) ).
fof(f3137,plain,
( ! [X4] : s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK2))),s(cart(real,sK0),X4))) = s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK1))),s(cart(real,sK0),X4)))
| ~ spl34_1 ),
inference(avatar_component_clause,[],[f3136]) ).
fof(f3139,definition,
( spl34_2
<=> s(cart(real,sK0),sK2) = s(cart(real,sK0),sK1) ),
introduced(definition,[new_symbols(definition,[spl34_2])],[avatar_definition]) ).
fof(f3140,plain,
( s(cart(real,sK0),sK2) != s(cart(real,sK0),sK1)
| spl34_2 ),
inference(avatar_component_clause,[],[f3139]) ).
fof(f3141,plain,
( s(cart(real,sK0),sK2) = s(cart(real,sK0),sK1)
| ~ spl34_2 ),
inference(avatar_component_clause,[],[f3139]) ).
fof(f3142,plain,
( spl34_1
| spl34_2 ),
inference(avatar_split_clause,[],[f3065,f3139,f3136]) ).
fof(f3144,definition,
( spl34_3
<=> s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK2))),s(cart(real,sK0),sK3))) = s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK1))),s(cart(real,sK0),sK3))) ),
introduced(definition,[new_symbols(definition,[spl34_3])],[avatar_definition]) ).
fof(f3146,plain,
( s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK2))),s(cart(real,sK0),sK3))) != s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK1))),s(cart(real,sK0),sK3)))
| spl34_3 ),
inference(avatar_component_clause,[],[f3144]) ).
fof(f3147,plain,
( ~ spl34_3
| ~ spl34_2 ),
inference(avatar_split_clause,[],[f3066,f3139,f3144]) ).
fof(f3148,plain,
! [X2,X0,X1] :
( s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X2))),s(cart(real,X0),sK25(X0,X1,X2)))) != s(real,i(s(fun(cart(real,X0),real),i(s(fun(cart(real,X0),fun(cart(real,X0),real)),dot),s(cart(real,X0),X1))),s(cart(real,X0),sK25(X0,X1,X2))))
| s(cart(real,X0),X2) = s(cart(real,X0),X1) ),
inference(forward_demodulation,[],[f3134,f3131]) ).
fof(f3149,plain,
( s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK1))),s(cart(real,sK0),sK3))) != s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK1))),s(cart(real,sK0),sK3)))
| ~ spl34_2
| spl34_3 ),
inference(forward_demodulation,[],[f3146,f3141]) ).
fof(f3150,plain,
( $false
| ~ spl34_2
| spl34_3 ),
inference(trivial_inequality_removal,[],[f3149]) ).
fof(f3151,plain,
( ~ spl34_2
| spl34_3 ),
inference(avatar_contradiction_clause,[],[f3150]) ).
fof(f4010,plain,
( ! [X0] :
( s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),X0))),s(cart(real,sK0),sK25(sK0,X0,sK2)))) != s(real,i(s(fun(cart(real,sK0),real),i(s(fun(cart(real,sK0),fun(cart(real,sK0),real)),dot),s(cart(real,sK0),sK1))),s(cart(real,sK0),sK25(sK0,X0,sK2))))
| s(cart(real,sK0),sK2) = s(cart(real,sK0),X0) )
| ~ spl34_1 ),
inference(superposition,[],[f3148,f3137]) ).
fof(f4024,plain,
( s(cart(real,sK0),sK2) = s(cart(real,sK0),sK1)
| ~ spl34_1 ),
inference(equality_resolution,[],[f4010]) ).
fof(f4025,plain,
( $false
| ~ spl34_1
| spl34_2 ),
inference(forward_subsumption_resolution,[],[f4024,f3140]) ).
fof(f4026,plain,
( ~ spl34_1
| spl34_2 ),
inference(avatar_contradiction_clause,[],[f4025]) ).
cnf(s1,plain,
( spl34_1
| spl34_2 ),
inference(sat_conversion,[],[f3142]) ).
cnf(s2,plain,
( ~ spl34_2
| ~ spl34_3 ),
inference(sat_conversion,[],[f3147]) ).
cnf(s3,plain,
( ~ spl34_2
| spl34_3 ),
inference(sat_conversion,[],[f3151]) ).
cnf(s49,plain,
( ~ spl34_1
| spl34_2 ),
inference(sat_conversion,[],[f4026]) ).
cnf(s52,plain,
~ spl34_2,
inference(rat,[],[s2,s3]) ).
cnf(s53,plain,
~ spl34_1,
inference(rat,[],[s49,s52]) ).
cnf(s54,plain,
$false,
inference(rat,[],[s1,s52,s53]) ).
fof(f4041,plain,
$false,
inference(avatar_sat_refutation,[],[s54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO445+1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n020.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 08:15:35 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
% 5.27/2.44 % (3087475)Detected formulas, will run a generic FOF schedule.
% 5.27/2.44 % (3087481)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=3535014898:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 5.27/2.44 % (3087485)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3577387231:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 5.27/2.44 % (3087484)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2903334067:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 5.27/2.44 % (3087480)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=2200457194:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 5.27/2.44 % (3087483)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3120367424:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 5.27/2.44 % (3087486)dis-21_1_sil=8000:lcm=predicate:random_seed=2895029760:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 5.27/2.44 % (3087482)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=418317260:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 5.27/2.44 % (3087485)Instruction limit reached!
% 5.27/2.44 % (3087485)------------------------------
% 5.27/2.44 % (3087485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/2.44 % (3087485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/2.44 % (3087485)CaDiCaL version: 2.1.3
% 5.27/2.44 % (3087485)Termination reason: Instruction limit
% 5.27/2.44 % (3087485)Termination phase: Property scanning
% 5.27/2.44 % (3087485)Time elapsed: 0.050 s
% 5.27/2.44 % (3087485)Peak memory usage: 90 MB
% 5.27/2.44 % (3087485)Instructions burned: 141 (million)
% 5.27/2.44 % (3087483)Instruction limit reached!
% 5.27/2.44 % (3087483)------------------------------
% 5.27/2.44 % (3087483)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/2.44 % (3087483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/2.44 % (3087483)CaDiCaL version: 2.1.3
% 5.27/2.44 % (3087483)Termination reason: Instruction limit
% 5.27/2.44 % (3087483)Termination phase: Saturation
% 5.27/2.44 % (3087483)Time elapsed: 0.056 s
% 5.27/2.44 % (3087483)Peak memory usage: 94 MB
% 5.27/2.44 % (3087483)Instructions burned: 109 (million)
% 5.27/2.44 % (3087484)Instruction limit reached!
% 5.27/2.44 % (3087484)------------------------------
% 5.27/2.44 % (3087484)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/2.44 % (3087484)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/2.44 % (3087484)CaDiCaL version: 2.1.3
% 5.27/2.44 % (3087484)Termination reason: Instruction limit
% 5.27/2.44 % (3087484)Termination phase: Preprocessing 3
% 5.27/2.44 % (3087484)Time elapsed: 0.063 s
% 5.27/2.44 % (3087484)Peak memory usage: 92 MB
% 5.27/2.44 % (3087484)Instructions burned: 119 (million)
% 5.27/2.44 % (3087486)Instruction limit reached!
% 5.27/2.44 % (3087486)------------------------------
% 5.27/2.44 % (3087486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/2.44 % (3087486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/2.44 % (3087486)CaDiCaL version: 2.1.3
% 5.27/2.44 % (3087486)Termination reason: Instruction limit
% 5.27/2.44 % (3087486)Termination phase: Preprocessing 1
% 5.27/2.44 % (3087486)Time elapsed: 0.064 s
% 5.27/2.44 % (3087486)Peak memory usage: 90 MB
% 5.27/2.44 % (3087486)Instructions burned: 132 (million)
% 5.27/2.44 % (3087495)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4198984436:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/157Mi)
% 5.27/2.44 % (3087494)lrs+10_1_sil=8000:sp=occurrence:random_seed=3967318165:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 5.27/2.44 % (3087497)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=2433764172:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 5.27/2.44 % (3087496)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3312476161:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 5.27/2.44 % (3087495)Instruction limit reached!
% 5.27/2.44 % (3087495)------------------------------
% 5.27/2.44 % (3087495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/2.44 % (3087495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/2.44 % (3087495)CaDiCaL version: 2.1.3
% 5.27/2.44 % (3087495)Termination reason: Instruction limit
% 5.27/2.44 % (3087495)Termination phase: Property scanning
% 5.27/2.44 % (3087495)Time elapsed: 0.056 s
% 5.27/2.44 % (3087495)Peak memory usage: 90 MB
% 5.27/2.44 % (3087495)Instructions burned: 159 (million)
% 5.27/2.44 % (3087497)Instruction limit reached!
% 5.27/2.44 % (3087497)------------------------------
% 5.27/2.44 % (3087497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/2.44 % (3087497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/2.44 % (3087497)CaDiCaL version: 2.1.3
% 5.27/2.44 % (3087497)Termination reason: Instruction limit
% 5.27/2.44 % (3087497)Termination phase: Property scanning
% 5.27/2.44 % (3087497)Time elapsed: 0.087 s
% 5.27/2.44 % (3087497)Peak memory usage: 90 MB
% 5.27/2.44 % (3087497)Instructions burned: 250 (million)
% 5.27/2.44 % (3087496)First to succeed.
% 5.27/2.44 % (3087496)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3087475"
% 5.27/2.44 % (3087494)Instruction limit reached!
% 5.27/2.44 % (3087494)------------------------------
% 5.27/2.44 % (3087494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/2.44 % (3087494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/2.44 % (3087494)CaDiCaL version: 2.1.3
% 5.27/2.44 % (3087494)Termination reason: Instruction limit
% 5.27/2.44 % (3087494)Termination phase: Property scanning
% 5.27/2.44 % (3087494)Time elapsed: 0.130 s
% 5.27/2.44 % (3087494)Peak memory usage: 94 MB
% 5.27/2.44 % (3087494)Instructions burned: 285 (million)
% 5.27/2.44 % (3087502)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2088971119:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2987 on theBenchmark for (2987ds/294Mi)
% 5.27/2.44 % (3087503)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1687895605:i=2350_2986 on theBenchmark for (2986ds/2350Mi)
% 5.27/2.44 % (3087504)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3191651738:cts=off:i=113:fsr=off:ss=included:sgt=4_2986 on theBenchmark for (2986ds/113Mi)
% 5.27/2.44 % (3087502)Instruction limit reached!
% 5.27/2.44 % (3087502)------------------------------
% 5.27/2.44 % (3087502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/2.44 % (3087502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/2.44 % (3087502)CaDiCaL version: 2.1.3
% 5.27/2.44 % (3087502)Termination reason: Instruction limit
% 5.27/2.44 % (3087502)Termination phase: Preprocessing 3
% 5.27/2.44 % (3087502)Time elapsed: 0.146 s
% 5.27/2.44 % (3087502)Peak memory usage: 95 MB
% 5.27/2.44 % (3087502)Instructions burned: 295 (million)
% 5.27/2.44 % (3087504)Instruction limit reached!
% 5.27/2.44 % (3087504)------------------------------
% 5.27/2.44 % (3087504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/2.44 % (3087504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/2.44 % (3087504)CaDiCaL version: 2.1.3
% 5.27/2.44 % (3087504)Termination reason: Instruction limit
% 5.27/2.44 % (3087504)Termination phase: Preprocessing 1
% 5.27/2.44 % (3087504)Time elapsed: 0.061 s
% 5.27/2.44 % (3087504)Peak memory usage: 90 MB
% 5.27/2.44 % (3087504)Instructions burned: 114 (million)
% 5.27/2.44 % (3087496)Refutation found. Thanks to Tanya!
% 5.27/2.44 % SZS status Theorem for theBenchmark
% 5.27/2.44 % SZS output start Proof for theBenchmark
% See solution above
% 6.45/2.64 % (3087496)------------------------------
% 6.45/2.64 % (3087496)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.45/2.64 % (3087496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.45/2.64 % (3087496)CaDiCaL version: 2.1.3
% 6.45/2.64 % (3087496)Termination reason: Refutation
% 6.45/2.64 % (3087496)Time elapsed: 0.104 s
% 6.45/2.64 % (3087496)Peak memory usage: 96 MB
% 6.45/2.64 % (3087496)Instructions burned: 193 (million)
% 6.45/2.64 % (3087496)------------------------------
% 6.45/2.64 % (3087496)------------------------------
% 6.45/2.64 % (3087475)Success in time 1.584 s
% 6.45/2.64 % Vampire exiting
%------------------------------------------------------------------------------