%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : HAL004+1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 10:18:52 AM UTC 2026
% Result : Theorem 2.58s 1.40s
% Output : Refutation 4.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 92 ( 23 unt; 5 def)
% Number of atoms : 257 ( 52 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 305 ( 140 ~; 131 |; 21 &)
% ( 5 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-4 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-3 aty)
% Number of variables : 112 ( 0 sgn 104 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( morphism(X0,X1,X2)
=> ( ! [X3] :
( element(X3,X1)
=> element(apply(X0,X3),X2) )
& apply(X0,zero(X1)) = zero(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',morphism) ).
fof(f4,axiom,
! [X0,X1,X2] :
( ( surjection(X0)
& morphism(X0,X1,X2) )
=> ! [X3] :
( element(X3,X2)
=> ? [X4] :
( element(X4,X1)
& apply(X0,X4) = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',surjection_properties) ).
fof(f8,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ( commute(X0,X1,X2,X3)
& morphism(X0,X4,X5)
& morphism(X1,X5,X7)
& morphism(X2,X4,X6)
& morphism(X3,X6,X7) )
=> ! [X8] :
( element(X8,X4)
=> apply(X1,apply(X0,X8)) = apply(X3,apply(X2,X8)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commute_properties) ).
fof(f15,axiom,
morphism(beta,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta_morphism) ).
fof(f17,axiom,
morphism(delta,e,r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',delta_morphism) ).
fof(f19,axiom,
morphism(g,b,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',g_morphism) ).
fof(f20,axiom,
morphism(h,c,r),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_morphism) ).
fof(f23,axiom,
surjection(beta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta_surjection) ).
fof(f28,axiom,
commute(beta,h,g,delta),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',beta_h_g_delta_commute) ).
fof(f30,axiom,
surjection(h),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_surjection) ).
fof(f31,conjecture,
! [X0] :
( element(X0,e)
=> ? [X1,X2] :
( element(X1,r)
& apply(delta,X0) = X1
& element(X2,b)
& apply(h,apply(beta,X2)) = X1
& apply(delta,apply(g,X2)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma3) ).
fof(f32,negated_conjecture,
~ ! [X0] :
( element(X0,e)
=> ? [X1,X2] :
( element(X1,r)
& apply(delta,X0) = X1
& element(X2,b)
& apply(h,apply(beta,X2)) = X1
& apply(delta,apply(g,X2)) = X1 ) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f33,plain,
? [X0] :
( ! [X1,X2] :
( ~ element(X1,r)
| apply(delta,X0) != X1
| ~ element(X2,b)
| apply(h,apply(beta,X2)) != X1
| apply(delta,apply(g,X2)) != X1 )
& element(X0,e) ),
inference(ennf_transformation,[],[f32]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ! [X3] :
( ? [X4] :
( element(X4,X1)
& apply(X0,X4) = X3 )
| ~ element(X3,X2) )
| ~ surjection(X0)
| ~ morphism(X0,X1,X2) ),
inference(ennf_transformation,[],[f4]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ! [X3] :
( ? [X4] :
( element(X4,X1)
& apply(X0,X4) = X3 )
| ~ element(X3,X2) )
| ~ surjection(X0)
| ~ morphism(X0,X1,X2) ),
inference(flattening,[],[f36]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X8] :
( apply(X1,apply(X0,X8)) = apply(X3,apply(X2,X8))
| ~ element(X8,X4) )
| ~ commute(X0,X1,X2,X3)
| ~ morphism(X0,X4,X5)
| ~ morphism(X1,X5,X7)
| ~ morphism(X2,X4,X6)
| ~ morphism(X3,X6,X7) ),
inference(ennf_transformation,[],[f8]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( ! [X8] :
( apply(X1,apply(X0,X8)) = apply(X3,apply(X2,X8))
| ~ element(X8,X4) )
| ~ commute(X0,X1,X2,X3)
| ~ morphism(X0,X4,X5)
| ~ morphism(X1,X5,X7)
| ~ morphism(X2,X4,X6)
| ~ morphism(X3,X6,X7) ),
inference(flattening,[],[f40]) ).
fof(f51,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( element(apply(X0,X3),X2)
| ~ element(X3,X1) )
& apply(X0,zero(X1)) = zero(X2) )
| ~ morphism(X0,X1,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f52,plain,
( ! [X1,X2] :
( ~ element(X1,r)
| apply(delta,sK0) != X1
| ~ element(X2,b)
| apply(h,apply(beta,X2)) != X1
| apply(delta,apply(g,X2)) != X1 )
& element(sK0,e) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f33]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( element(sK2(X0,X1,X3),X1)
& apply(X0,sK2(X0,X1,X3)) = X3 )
| ~ element(X3,X2) )
| ~ surjection(X0)
| ~ morphism(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X4,sK2(X0,X1,X3))],[f37]) ).
fof(f66,plain,
surjection(h),
inference(cnf_transformation,[],[f30]) ).
fof(f67,plain,
element(sK0,e),
inference(cnf_transformation,[],[f52]) ).
fof(f68,plain,
! [X2,X1] :
( ~ element(X1,r)
| apply(delta,sK0) != X1
| ~ element(X2,b)
| apply(h,apply(beta,X2)) != X1
| apply(delta,apply(g,X2)) != X1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f70,plain,
surjection(beta),
inference(cnf_transformation,[],[f23]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ morphism(X0,X1,X2)
| ~ element(X3,X2)
| ~ surjection(X0)
| apply(X0,sK2(X0,X1,X3)) = X3 ),
inference(cnf_transformation,[],[f54]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ morphism(X0,X1,X2)
| ~ element(X3,X2)
| ~ surjection(X0)
| element(sK2(X0,X1,X3),X1) ),
inference(cnf_transformation,[],[f54]) ).
fof(f77,plain,
commute(beta,h,g,delta),
inference(cnf_transformation,[],[f28]) ).
fof(f78,plain,
morphism(h,c,r),
inference(cnf_transformation,[],[f20]) ).
fof(f79,plain,
morphism(g,b,e),
inference(cnf_transformation,[],[f19]) ).
fof(f80,plain,
morphism(beta,b,c),
inference(cnf_transformation,[],[f15]) ).
fof(f83,plain,
morphism(delta,e,r),
inference(cnf_transformation,[],[f17]) ).
fof(f89,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ commute(X0,X1,X2,X3)
| ~ element(X8,X4)
| apply(X1,apply(X0,X8)) = apply(X3,apply(X2,X8))
| ~ morphism(X0,X4,X5)
| ~ morphism(X1,X5,X7)
| ~ morphism(X2,X4,X6)
| ~ morphism(X3,X6,X7) ),
inference(cnf_transformation,[],[f41]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( ~ morphism(X0,X1,X2)
| ~ element(X3,X1)
| element(apply(X0,X3),X2) ),
inference(cnf_transformation,[],[f51]) ).
fof(f108,plain,
! [X2] :
( ~ element(apply(delta,sK0),r)
| ~ element(X2,b)
| apply(h,apply(beta,X2)) != apply(delta,sK0)
| apply(delta,apply(g,X2)) != apply(delta,sK0) ),
inference(equality_resolution,[],[f68]) ).
fof(f112,definition,
( spl9_1
<=> ! [X2] :
( ~ element(X2,b)
| apply(delta,apply(g,X2)) != apply(delta,sK0)
| apply(h,apply(beta,X2)) != apply(delta,sK0) ) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f113,plain,
( ! [X2] :
( apply(h,apply(beta,X2)) != apply(delta,sK0)
| apply(delta,apply(g,X2)) != apply(delta,sK0)
| ~ element(X2,b) )
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f115,definition,
( spl9_2
<=> element(apply(delta,sK0),r) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f116,plain,
( element(apply(delta,sK0),r)
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( ~ element(apply(delta,sK0),r)
| spl9_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f118,plain,
( spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f108,f115,f112]) ).
fof(f216,plain,
! [X0] :
( element(apply(delta,X0),r)
| ~ element(X0,e) ),
inference(resolution,[],[f107,f83]) ).
fof(f221,plain,
! [X0] :
( ~ element(X0,c)
| ~ surjection(beta)
| element(sK2(beta,b,X0),b) ),
inference(resolution,[],[f74,f80]) ).
fof(f226,plain,
! [X0] :
( ~ element(X0,r)
| ~ surjection(h)
| element(sK2(h,c,X0),c) ),
inference(resolution,[],[f74,f78]) ).
fof(f227,plain,
! [X0] :
( element(sK2(h,c,X0),c)
| ~ element(X0,r) ),
inference(forward_subsumption_resolution,[],[f226,f66]) ).
fof(f246,plain,
! [X0] :
( element(sK2(beta,b,X0),b)
| ~ element(X0,c) ),
inference(forward_subsumption_resolution,[],[f221,f70]) ).
fof(f256,plain,
! [X0] :
( ~ element(X0,c)
| ~ surjection(beta)
| apply(beta,sK2(beta,b,X0)) = X0 ),
inference(resolution,[],[f73,f80]) ).
fof(f261,plain,
! [X0] :
( ~ element(X0,r)
| ~ surjection(h)
| apply(h,sK2(h,c,X0)) = X0 ),
inference(resolution,[],[f73,f78]) ).
fof(f262,plain,
! [X0] :
( ~ element(X0,r)
| apply(h,sK2(h,c,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f261,f66]) ).
fof(f265,plain,
! [X0] :
( ~ element(X0,c)
| apply(beta,sK2(beta,b,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f256,f70]) ).
fof(f328,plain,
! [X2,X3,X0,X1,X4] :
( ~ morphism(h,X2,X3)
| apply(h,apply(beta,X0)) = apply(delta,apply(g,X0))
| ~ morphism(beta,X1,X2)
| ~ element(X0,X1)
| ~ morphism(g,X1,X4)
| ~ morphism(delta,X4,X3) ),
inference(resolution,[],[f89,f77]) ).
fof(f378,plain,
( ~ element(sK0,e)
| spl9_2 ),
inference(resolution,[],[f216,f117]) ).
fof(f386,plain,
( $false
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f378,f67]) ).
fof(f387,plain,
spl9_2,
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f403,plain,
( apply(delta,sK0) = apply(h,sK2(h,c,apply(delta,sK0)))
| ~ spl9_2 ),
inference(resolution,[],[f262,f116]) ).
fof(f438,plain,
! [X0] :
( ~ element(X0,r)
| sK2(h,c,X0) = apply(beta,sK2(beta,b,sK2(h,c,X0))) ),
inference(resolution,[],[f265,f227]) ).
fof(f569,plain,
! [X2,X0,X1] :
( ~ morphism(g,X1,X2)
| ~ morphism(beta,X1,c)
| ~ element(X0,X1)
| apply(h,apply(beta,X0)) = apply(delta,apply(g,X0))
| ~ morphism(delta,X2,r) ),
inference(resolution,[],[f328,f78]) ).
fof(f1054,plain,
( sK2(h,c,apply(delta,sK0)) = apply(beta,sK2(beta,b,sK2(h,c,apply(delta,sK0))))
| ~ spl9_2 ),
inference(resolution,[],[f438,f116]) ).
fof(f1063,plain,
( apply(delta,sK0) != apply(h,sK2(h,c,apply(delta,sK0)))
| apply(delta,sK0) != apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK0)))))
| ~ element(sK2(beta,b,sK2(h,c,apply(delta,sK0))),b)
| ~ spl9_1
| ~ spl9_2 ),
inference(superposition,[],[f113,f1054]) ).
fof(f1073,definition,
( spl9_58
<=> element(sK2(beta,b,sK2(h,c,apply(delta,sK0))),b) ),
introduced(definition,[new_symbols(definition,[spl9_58])],[avatar_definition]) ).
fof(f1074,plain,
( element(sK2(beta,b,sK2(h,c,apply(delta,sK0))),b)
| ~ spl9_58 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1075,plain,
( ~ element(sK2(beta,b,sK2(h,c,apply(delta,sK0))),b)
| spl9_58 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1077,definition,
( spl9_59
<=> element(sK2(h,c,apply(delta,sK0)),c) ),
introduced(definition,[new_symbols(definition,[spl9_59])],[avatar_definition]) ).
fof(f1078,plain,
( ~ element(sK2(h,c,apply(delta,sK0)),c)
| spl9_59 ),
inference(avatar_component_clause,[],[f1077]) ).
fof(f1081,plain,
( apply(delta,sK0) != apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK0)))))
| ~ element(sK2(beta,b,sK2(h,c,apply(delta,sK0))),b)
| ~ spl9_1
| ~ spl9_2 ),
inference(forward_subsumption_resolution,[],[f1063,f403]) ).
fof(f1083,definition,
( spl9_60
<=> apply(delta,sK0) = apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK0))))) ),
introduced(definition,[new_symbols(definition,[spl9_60])],[avatar_definition]) ).
fof(f1085,plain,
( apply(delta,sK0) != apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK0)))))
| spl9_60 ),
inference(avatar_component_clause,[],[f1083]) ).
fof(f1086,plain,
( ~ spl9_58
| ~ spl9_60
| ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f1081,f115,f112,f1083,f1073]) ).
fof(f1089,plain,
( ~ element(sK2(h,c,apply(delta,sK0)),c)
| spl9_58 ),
inference(resolution,[],[f1075,f246]) ).
fof(f1090,plain,
( ~ spl9_59
| spl9_58 ),
inference(avatar_split_clause,[],[f1089,f1073,f1077]) ).
fof(f1093,plain,
( ~ element(apply(delta,sK0),r)
| spl9_59 ),
inference(resolution,[],[f1078,f227]) ).
fof(f1094,plain,
( $false
| ~ spl9_2
| spl9_59 ),
inference(forward_subsumption_resolution,[],[f1093,f116]) ).
fof(f1095,plain,
( ~ spl9_2
| spl9_59 ),
inference(avatar_contradiction_clause,[],[f1094]) ).
fof(f1463,plain,
! [X0] :
( ~ morphism(beta,b,c)
| ~ element(X0,b)
| apply(h,apply(beta,X0)) = apply(delta,apply(g,X0))
| ~ morphism(delta,e,r) ),
inference(resolution,[],[f569,f79]) ).
fof(f1464,plain,
! [X0] :
( ~ element(X0,b)
| apply(h,apply(beta,X0)) = apply(delta,apply(g,X0))
| ~ morphism(delta,e,r) ),
inference(forward_subsumption_resolution,[],[f1463,f80]) ).
fof(f1465,plain,
! [X0] :
( ~ element(X0,b)
| apply(h,apply(beta,X0)) = apply(delta,apply(g,X0)) ),
inference(forward_subsumption_resolution,[],[f1464,f83]) ).
fof(f2241,plain,
( apply(h,apply(beta,sK2(beta,b,sK2(h,c,apply(delta,sK0))))) = apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK0)))))
| ~ spl9_58 ),
inference(resolution,[],[f1465,f1074]) ).
fof(f2274,plain,
( apply(h,sK2(h,c,apply(delta,sK0))) = apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK0)))))
| ~ spl9_2
| ~ spl9_58 ),
inference(forward_demodulation,[],[f2241,f1054]) ).
fof(f2276,plain,
( apply(delta,sK0) = apply(delta,apply(g,sK2(beta,b,sK2(h,c,apply(delta,sK0)))))
| ~ spl9_2
| ~ spl9_58 ),
inference(forward_demodulation,[],[f2274,f403]) ).
fof(f2277,plain,
( $false
| ~ spl9_2
| ~ spl9_58
| spl9_60 ),
inference(forward_subsumption_resolution,[],[f2276,f1085]) ).
fof(f2278,plain,
( ~ spl9_2
| ~ spl9_58
| spl9_60 ),
inference(avatar_contradiction_clause,[],[f2277]) ).
cnf(s1,plain,
( spl9_1
| ~ spl9_2 ),
inference(sat_conversion,[],[f118]) ).
cnf(s19,plain,
spl9_2,
inference(sat_conversion,[],[f387]) ).
cnf(s38,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_58
| ~ spl9_60 ),
inference(sat_conversion,[],[f1086]) ).
cnf(s39,plain,
( spl9_58
| ~ spl9_59 ),
inference(sat_conversion,[],[f1090]) ).
cnf(s40,plain,
( ~ spl9_2
| spl9_59 ),
inference(sat_conversion,[],[f1095]) ).
cnf(s93,plain,
( ~ spl9_2
| ~ spl9_58
| spl9_60 ),
inference(sat_conversion,[],[f2278]) ).
cnf(s94,plain,
spl9_59,
inference(rat,[],[s40,s19]) ).
cnf(s95,plain,
spl9_58,
inference(rat,[],[s39,s94]) ).
cnf(s96,plain,
spl9_60,
inference(rat,[],[s93,s19,s95]) ).
cnf(s97,plain,
~ spl9_1,
inference(rat,[],[s38,s96,s19,s95]) ).
cnf(s98,plain,
$false,
inference(rat,[],[s1,s19,s97]) ).
fof(f2279,plain,
$false,
inference(avatar_sat_refutation,[],[s98]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HAL004+1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n013.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 10:48:06 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 2.58/1.40 % (42718)Detected formulas, will run a generic FOF schedule.
% 2.58/1.40 % (42727)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=219664891:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.58/1.40 % (42725)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=2140306498:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.58/1.40 % (42723)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=505810053:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.58/1.40 % (42726)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3954756198:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.58/1.40 % (42724)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=346810777:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.58/1.40 % (42728)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=584319915:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.58/1.40 % (42726)Refutation not found, incomplete strategy
% 2.58/1.40 % (42726)------------------------------
% 2.58/1.40 % (42726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.40 % (42726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.40 % (42726)CaDiCaL version: 2.1.3
% 2.58/1.40 % (42726)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.40 % (42726)Time elapsed: 0.002 s
% 2.58/1.40 % (42726)Peak memory usage: 88 MB
% 2.58/1.40 % (42726)Instructions burned: 1 (million)
% 2.58/1.40 % (42727)Instruction limit reached!
% 2.58/1.40 % (42727)------------------------------
% 2.58/1.40 % (42727)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.40 % (42727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.40 % (42727)CaDiCaL version: 2.1.3
% 2.58/1.40 % (42727)Termination reason: Instruction limit
% 2.58/1.40 % (42727)Termination phase: Saturation
% 2.58/1.40 % (42727)Time elapsed: 0.036 s
% 2.58/1.40 % (42727)Peak memory usage: 88 MB
% 2.58/1.40 % (42727)Instructions burned: 121 (million)
% 2.58/1.40 % (42729)dis-21_1_sil=8000:lcm=predicate:random_seed=2761711046: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)
% 2.58/1.40 % (42729)Refutation not found, incomplete strategy
% 2.58/1.40 % (42729)------------------------------
% 2.58/1.40 % (42729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.40 % (42729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.40 % (42729)CaDiCaL version: 2.1.3
% 2.58/1.40 % (42729)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.40 % (42729)Time elapsed: 0.009 s
% 2.58/1.40 % (42729)Peak memory usage: 88 MB
% 2.58/1.40 % (42729)Instructions burned: 12 (million)
% 2.58/1.40 % (42728)Instruction limit reached!
% 2.58/1.40 % (42728)------------------------------
% 2.58/1.40 % (42728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.40 % (42728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.40 % (42728)CaDiCaL version: 2.1.3
% 2.58/1.40 % (42728)Termination reason: Instruction limit
% 2.58/1.40 % (42728)Termination phase: Saturation
% 2.58/1.40 % (42728)Time elapsed: 0.094 s
% 2.58/1.40 % (42728)Peak memory usage: 89 MB
% 2.58/1.40 % (42728)Instructions burned: 139 (million)
% 2.58/1.40 % (42736)lrs+10_1_sil=8000:sp=occurrence:random_seed=2858201743:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.58/1.40 % (42736)First to succeed.
% 2.58/1.40 % (42736)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-42718"
% 2.58/1.40 % (42726)------------------------------
% 2.58/1.40 % (42726)------------------------------
% 2.58/1.40 % (42729)------------------------------
% 2.58/1.40 % (42729)------------------------------
% 2.58/1.40 % (42738)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2521019769:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.58/1.40 % (42738)Refutation not found, incomplete strategy
% 2.58/1.40 % (42738)------------------------------
% 2.58/1.40 % (42738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.58/1.40 % (42738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.58/1.40 % (42738)CaDiCaL version: 2.1.3
% 2.58/1.40 % (42738)Termination reason: Refutation not found, incomplete strategy
% 2.58/1.40 % (42738)Time elapsed: 0.001 s
% 2.58/1.40 % (42738)Peak memory usage: 88 MB
% 2.58/1.40 % (42736)Refutation found. Thanks to Tanya!
% 2.58/1.40 % SZS status Theorem for theBenchmark
% 2.58/1.40 % SZS output start Proof for theBenchmark
% See solution above
% 4.32/1.60 % (42736)------------------------------
% 4.32/1.60 % (42736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.32/1.60 % (42736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.32/1.60 % (42736)CaDiCaL version: 2.1.3
% 4.32/1.60 % (42736)Termination reason: Refutation
% 4.32/1.60 % (42736)Time elapsed: 0.052 s
% 4.32/1.60 % (42736)Peak memory usage: 91 MB
% 4.32/1.60 % (42736)Instructions burned: 152 (million)
% 4.32/1.60 % (42736)------------------------------
% 4.32/1.60 % (42736)------------------------------
% 4.32/1.60 % (42718)Success in time 0.512 s
% 4.32/1.60 % Vampire exiting
%------------------------------------------------------------------------------