%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM094-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 12:11:44 PM UTC 2026
% Result : Unsatisfiable 10.54s 2.55s
% Output : Refutation 11.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 93 ( 24 unt; 6 def)
% Number of atoms : 211 ( 21 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 208 ( 90 ~; 115 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 4 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn 102 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f135,axiom,
! [X2,X0,X1] :
( ~ well_ordering(X0,X1)
| ~ subclass(X2,X1)
| X2 = null_class
| member(least(X0,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_ordering2) ).
fof(f136,plain,
! [X2,X0,X1] :
( ~ well_ordering(X0,X1)
| ~ subclass(X2,X1)
| null_class = X2
| member(least(X0,X2),X2) ),
inference(reorient_equations,[],[f135]) ).
fof(f137,axiom,
! [X2,X3,X0,X1] :
( ~ well_ordering(X0,X1)
| ~ subclass(X2,X1)
| ~ member(X3,X2)
| member(least(X0,X2),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',well_ordering3) ).
fof(f146,axiom,
! [X2,X0,X1] :
( ~ section(X0,X1,X2)
| subclass(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',section1) ).
fof(f176,negated_conjecture,
well_ordering(xr,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sections_property3_1) ).
fof(f177,negated_conjecture,
section(xr,w,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sections_property3_2) ).
fof(f178,negated_conjecture,
~ member(least(xr,intersection(complement(w),y)),y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sections_property3_3) ).
fof(f179,negated_conjecture,
y != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_sections_property3_4) ).
fof(f276,definition,
sF0 = complement(w),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f277,plain,
complement(w) = sF0,
inference(reorient_equations,[],[f276]) ).
fof(f278,definition,
sF1 = intersection(sF0,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f279,plain,
intersection(sF0,y) = sF1,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF2 = least(xr,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f281,plain,
least(xr,sF1) = sF2,
inference(reorient_equations,[],[f280]) ).
fof(f282,plain,
~ member(sF2,y),
inference(definition_folding,[],[f178,f281,f279,f277]) ).
fof(f283,plain,
subclass(w,y),
inference(resolution,[],[f146,f177]) ).
fof(f284,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF0)
| member(X0,w) ),
inference(superposition,[],[f25,f277]) ).
fof(f285,plain,
( ~ subclass(y,w)
| y = w ),
inference(resolution,[],[f7,f283]) ).
fof(f286,plain,
~ subclass(y,w),
inference(forward_subsumption_resolution,[],[f285,f179]) ).
fof(f288,plain,
! [X0] :
( ~ member(X0,sF1)
| member(X0,y) ),
inference(superposition,[],[f22,f279]) ).
fof(f290,plain,
! [X0,X1] :
( ~ member(X1,X0)
| ~ subclass(X0,y)
| member(least(xr,X0),X0) ),
inference(resolution,[],[f137,f176]) ).
fof(f294,plain,
! [X0] :
( member(least(xr,X0),X0)
| null_class = X0
| ~ subclass(X0,y) ),
inference(resolution,[],[f136,f176]) ).
fof(f302,plain,
( null_class = sF1
| ~ subclass(sF1,y)
| member(least(xr,sF1),y) ),
inference(resolution,[],[f294,f288]) ).
fof(f306,definition,
( spl3_1
<=> subclass(sF1,y) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f307,plain,
( subclass(sF1,y)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f308,plain,
( ~ subclass(sF1,y)
| spl3_1 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f310,definition,
( spl3_2
<=> null_class = sF1 ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f312,plain,
( null_class = sF1
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f310]) ).
fof(f318,plain,
( member(sF2,y)
| null_class = sF1
| ~ subclass(sF1,y) ),
inference(forward_demodulation,[],[f302,f281]) ).
fof(f350,plain,
( null_class = sF1
| ~ subclass(sF1,y) ),
inference(forward_subsumption_resolution,[],[f318,f282]) ).
fof(f356,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f350,f310,f306]) ).
fof(f363,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,y)
| member(X0,sF1) ),
inference(superposition,[],[f23,f279]) ).
fof(f365,plain,
! [X2,X0,X1] :
( member(not_subclass_element(X0,X1),X2)
| ~ subclass(X0,X2)
| subclass(X0,X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f368,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f369,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f376,plain,
! [X2,X0,X1] :
( member(least(xr,X0),X0)
| subclass(intersection(X0,X1),X2)
| ~ subclass(X0,y) ),
inference(resolution,[],[f369,f290]) ).
fof(f398,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f3,f369]) ).
fof(f399,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f3,f368]) ).
fof(f401,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X2)
| subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1) ),
inference(resolution,[],[f3,f23]) ).
fof(f402,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f403,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f398]) ).
fof(f408,plain,
subclass(sF1,y),
inference(superposition,[],[f402,f279]) ).
fof(f409,plain,
( $false
| spl3_1 ),
inference(forward_subsumption_resolution,[],[f408,f308]) ).
fof(f410,plain,
spl3_1,
inference(avatar_contradiction_clause,[],[f409]) ).
fof(f423,plain,
( subclass(null_class,y)
| ~ spl3_1
| ~ spl3_2 ),
inference(superposition,[],[f307,f312]) ).
fof(f425,plain,
( ! [X0] :
( ~ member(X0,null_class)
| member(X0,y) )
| ~ spl3_2 ),
inference(superposition,[],[f288,f312]) ).
fof(f426,plain,
( sF2 = least(xr,null_class)
| ~ spl3_2 ),
inference(superposition,[],[f281,f312]) ).
fof(f434,plain,
! [X0,X1] :
( ~ subclass(X0,universal_class)
| subclass(X0,X1)
| member(not_subclass_element(X0,X1),sF0)
| member(not_subclass_element(X0,X1),w) ),
inference(resolution,[],[f365,f284]) ).
fof(f447,plain,
! [X0,X1] :
( member(not_subclass_element(X0,X1),w)
| member(not_subclass_element(X0,X1),sF0)
| subclass(X0,X1) ),
inference(forward_subsumption_resolution,[],[f434,f4]) ).
fof(f448,plain,
! [X0] :
( member(not_subclass_element(X0,w),sF0)
| subclass(X0,w)
| subclass(X0,w) ),
inference(resolution,[],[f447,f3]) ).
fof(f451,plain,
! [X0] :
( member(not_subclass_element(X0,w),sF0)
| subclass(X0,w) ),
inference(duplicate_literal_removal,[],[f448]) ).
fof(f461,plain,
! [X0] :
( subclass(X0,w)
| ~ member(not_subclass_element(X0,w),y)
| member(not_subclass_element(X0,w),sF1) ),
inference(resolution,[],[f451,f363]) ).
fof(f465,plain,
( ! [X0] :
( ~ member(not_subclass_element(X0,w),y)
| subclass(X0,w)
| member(not_subclass_element(X0,w),null_class) )
| ~ spl3_2 ),
inference(forward_demodulation,[],[f461,f312]) ).
fof(f475,plain,
( ! [X0,X1] :
( subclass(intersection(null_class,X0),X1)
| ~ subclass(null_class,y)
| member(least(xr,null_class),y) )
| ~ spl3_2 ),
inference(resolution,[],[f376,f425]) ).
fof(f487,plain,
( ! [X0,X1] :
( subclass(intersection(null_class,X0),X1)
| member(least(xr,null_class),y) )
| ~ spl3_1
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f475,f423]) ).
fof(f491,plain,
( ! [X0,X1] :
( member(sF2,y)
| subclass(intersection(null_class,X0),X1) )
| ~ spl3_1
| ~ spl3_2 ),
inference(forward_demodulation,[],[f487,f426]) ).
fof(f495,plain,
( ! [X0,X1] : subclass(intersection(null_class,X0),X1)
| ~ spl3_1
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f491,f282]) ).
fof(f501,definition,
( spl3_17
<=> ! [X0,X1] : subclass(intersection(null_class,X0),X1) ),
introduced(definition,[new_symbols(definition,[spl3_17])],[avatar_definition]) ).
fof(f502,plain,
( ! [X0,X1] : subclass(intersection(null_class,X0),X1)
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f506,plain,
( spl3_17
| ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f495,f310,f306,f501]) ).
fof(f510,plain,
! [X2,X0,X1] :
( subclass(X0,intersection(X1,X2))
| ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| ~ subclass(X0,X2)
| subclass(X0,intersection(X1,X2)) ),
inference(resolution,[],[f401,f365]) ).
fof(f516,plain,
! [X2,X0,X1] :
( ~ member(not_subclass_element(X0,intersection(X1,X2)),X1)
| subclass(X0,intersection(X1,X2))
| ~ subclass(X0,X2) ),
inference(duplicate_literal_removal,[],[f510]) ).
fof(f523,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1)
| subclass(X0,intersection(X0,X1)) ),
inference(resolution,[],[f516,f2]) ).
fof(f535,plain,
! [X0,X1] :
( subclass(X0,intersection(X0,X1))
| ~ subclass(X0,X1) ),
inference(duplicate_literal_removal,[],[f523]) ).
fof(f538,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| ~ subclass(intersection(X0,X1),X0)
| intersection(X0,X1) = X0 ),
inference(resolution,[],[f535,f7]) ).
fof(f540,plain,
! [X0,X1] :
( ~ subclass(X0,X1)
| intersection(X0,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f538,f403]) ).
fof(f541,plain,
! [X0] : intersection(X0,universal_class) = X0,
inference(resolution,[],[f540,f4]) ).
fof(f720,plain,
( ! [X0] : subclass(null_class,X0)
| ~ spl3_17 ),
inference(superposition,[],[f502,f541]) ).
fof(f1077,plain,
( subclass(y,w)
| member(not_subclass_element(y,w),null_class)
| subclass(y,w)
| ~ spl3_2 ),
inference(resolution,[],[f465,f2]) ).
fof(f1084,plain,
( subclass(y,w)
| member(not_subclass_element(y,w),null_class)
| ~ spl3_2 ),
inference(duplicate_literal_removal,[],[f1077]) ).
fof(f1087,plain,
( member(not_subclass_element(y,w),null_class)
| ~ spl3_2 ),
inference(forward_subsumption_resolution,[],[f1084,f286]) ).
fof(f1092,plain,
( ! [X0] :
( ~ subclass(null_class,X0)
| member(not_subclass_element(y,w),X0) )
| ~ spl3_2 ),
inference(resolution,[],[f1087,f1]) ).
fof(f1095,plain,
( ! [X0] : member(not_subclass_element(y,w),X0)
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f1092,f720]) ).
fof(f1098,plain,
( subclass(y,w)
| ~ spl3_2
| ~ spl3_17 ),
inference(resolution,[],[f1095,f3]) ).
fof(f1119,plain,
( $false
| ~ spl3_2
| ~ spl3_17 ),
inference(forward_subsumption_resolution,[],[f1098,f286]) ).
fof(f1120,plain,
( ~ spl3_2
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f1119]) ).
cnf(s5,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f356]) ).
cnf(s6,plain,
spl3_1,
inference(sat_conversion,[],[f410]) ).
cnf(s11,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_17 ),
inference(sat_conversion,[],[f506]) ).
cnf(s29,plain,
( ~ spl3_2
| ~ spl3_17 ),
inference(sat_conversion,[],[f1120]) ).
cnf(s31,plain,
spl3_2,
inference(rat,[],[s5,s6]) ).
cnf(s32,plain,
~ spl3_17,
inference(rat,[],[s29,s31]) ).
cnf(s35,plain,
$false,
inference(rat,[],[s11,s6,s32,s31]) ).
fof(f1121,plain,
$false,
inference(avatar_sat_refutation,[],[s35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM094-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 % Computer : n006.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8046.5625MB
% 0.13/0.41 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Sun Sep 27 18:51:26 UTC 2026
% 0.13/0.42 % CPUTime :
% 0.13/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.47 Running first-order theorem proving
% 0.13/0.47 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.54/2.55 % (3253159)Input is clausal, will run a generic CNF schedule.
% 10.54/2.55 % (3253167)lrs+10_1_sil=8000:sp=occurrence:random_seed=3040350564:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.54/2.55 % (3253165)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3786011701:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.54/2.55 % (3253164)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=742463461:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.54/2.55 % (3253168)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3209002388:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.54/2.55 % (3253166)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4044962679:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.54/2.55 % (3253169)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3857421013:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.54/2.55 % (3253167)Instruction limit reached!
% 10.54/2.55 % (3253167)------------------------------
% 10.54/2.55 % (3253167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253167)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253167)Termination reason: Instruction limit
% 10.54/2.55 % (3253167)Termination phase: Saturation
% 10.54/2.55 % (3253167)Time elapsed: 0.084 s
% 10.54/2.55 % (3253167)Peak memory usage: 89 MB
% 10.54/2.55 % (3253167)Instructions burned: 107 (million)
% 10.54/2.55 % (3253170)dis-21_1_sil=8000:lcm=predicate:random_seed=1001509940:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.54/2.55 % (3253168)Instruction limit reached!
% 10.54/2.55 % (3253168)------------------------------
% 10.54/2.55 % (3253168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253168)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253168)Termination reason: Instruction limit
% 10.54/2.55 % (3253168)Termination phase: Saturation
% 10.54/2.55 % (3253168)Time elapsed: 0.112 s
% 10.54/2.55 % (3253168)Peak memory usage: 89 MB
% 10.54/2.55 % (3253168)Instructions burned: 114 (million)
% 10.54/2.55 % (3253170)Instruction limit reached!
% 10.54/2.55 % (3253170)------------------------------
% 10.54/2.55 % (3253170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253170)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253170)Termination reason: Instruction limit
% 10.54/2.55 % (3253170)Termination phase: Saturation
% 10.54/2.55 % (3253170)Time elapsed: 0.088 s
% 10.54/2.55 % (3253170)Peak memory usage: 89 MB
% 10.54/2.55 % (3253170)Instructions burned: 118 (million)
% 10.54/2.55 % (3253169)Instruction limit reached!
% 10.54/2.55 % (3253169)------------------------------
% 10.54/2.55 % (3253169)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253169)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253169)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253169)Termination reason: Instruction limit
% 10.54/2.55 % (3253169)Termination phase: Saturation
% 10.54/2.55 % (3253169)Time elapsed: 0.202 s
% 10.54/2.55 % (3253169)Peak memory usage: 90 MB
% 10.54/2.55 % (3253169)Instructions burned: 180 (million)
% 10.54/2.55 % (3253177)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=899905068:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.54/2.55 % (3253177)Refutation not found, incomplete strategy
% 10.54/2.55 % (3253177)------------------------------
% 10.54/2.55 % (3253177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253177)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253177)Termination reason: Refutation not found, incomplete strategy
% 10.54/2.55 % (3253177)Time elapsed: 0.004 s
% 10.54/2.55 % (3253177)Peak memory usage: 88 MB
% 10.54/2.55 % (3253177)Instructions burned: 4 (million)
% 10.54/2.55 % (3253179)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2979800508:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 10.54/2.55 % (3253180)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3293200590:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 10.54/2.55 % (3253177)------------------------------
% 10.54/2.55 % (3253177)------------------------------
% 10.54/2.55 % (3253182)lrs+10_64_to=lpo:sil=8000:random_seed=3849143144:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 10.54/2.55 % (3253179)Instruction limit reached!
% 10.54/2.55 % (3253179)------------------------------
% 10.54/2.55 % (3253179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253179)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253179)Termination reason: Instruction limit
% 10.54/2.55 % (3253179)Termination phase: Saturation
% 10.54/2.55 % (3253179)Time elapsed: 0.201 s
% 10.54/2.55 % (3253179)Peak memory usage: 91 MB
% 10.54/2.55 % (3253179)Instructions burned: 189 (million)
% 10.54/2.55 % (3253180)Instruction limit reached!
% 10.54/2.55 % (3253180)------------------------------
% 10.54/2.55 % (3253180)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253180)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253180)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253180)Termination reason: Instruction limit
% 10.54/2.55 % (3253180)Termination phase: Saturation
% 10.54/2.55 % (3253180)Time elapsed: 0.213 s
% 10.54/2.55 % (3253180)Peak memory usage: 89 MB
% 10.54/2.55 % (3253180)Instructions burned: 219 (million)
% 10.54/2.55 % (3253182)Instruction limit reached!
% 10.54/2.55 % (3253182)------------------------------
% 10.54/2.55 % (3253182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253182)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253182)Termination reason: Instruction limit
% 10.54/2.55 % (3253182)Termination phase: Saturation
% 10.54/2.55 % (3253182)Time elapsed: 0.129 s
% 10.54/2.55 % (3253182)Peak memory usage: 89 MB
% 10.54/2.55 % (3253182)Instructions burned: 126 (million)
% 10.54/2.55 % (3253185)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1974518716:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 10.54/2.55 % (3253185)Instruction limit reached!
% 10.54/2.55 % (3253185)------------------------------
% 10.54/2.55 % (3253185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253185)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253185)Termination reason: Instruction limit
% 10.54/2.55 % (3253185)Termination phase: Saturation
% 10.54/2.55 % (3253185)Time elapsed: 0.082 s
% 10.54/2.55 % (3253185)Peak memory usage: 90 MB
% 10.54/2.55 % (3253185)Instructions burned: 196 (million)
% 10.54/2.55 % (3253187)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2172005890:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 10.54/2.55 % (3253188)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2243303631:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 10.54/2.55 % (3253189)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1446220054:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2991 on theBenchmark for (2991ds/106Mi)
% 10.54/2.55 % (3253187)Instruction limit reached!
% 10.54/2.55 % (3253187)------------------------------
% 10.54/2.55 % (3253187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253187)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253187)Termination reason: Instruction limit
% 10.54/2.55 % (3253187)Termination phase: Saturation
% 10.54/2.55 % (3253187)Time elapsed: 0.185 s
% 10.54/2.55 % (3253187)Peak memory usage: 91 MB
% 10.54/2.55 % (3253187)Instructions burned: 157 (million)
% 10.54/2.55 % (3253189)Instruction limit reached!
% 10.54/2.55 % (3253189)------------------------------
% 10.54/2.55 % (3253189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253189)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253189)Termination reason: Instruction limit
% 10.54/2.55 % (3253189)Termination phase: Saturation
% 10.54/2.55 % (3253189)Time elapsed: 0.104 s
% 10.54/2.55 % (3253189)Peak memory usage: 89 MB
% 10.54/2.55 % (3253189)Instructions burned: 107 (million)
% 10.54/2.55 % (3253164)First to succeed.
% 10.54/2.55 % (3253164)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3253159"
% 10.54/2.55 % (3253192)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=380754941:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 10.54/2.55 % (3253166)Also succeeded, but the first one will report.
% 10.54/2.55 % (3253192)Instruction limit reached!
% 10.54/2.55 % (3253192)------------------------------
% 10.54/2.55 % (3253192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.54/2.55 % (3253192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.54/2.55 % (3253192)CaDiCaL version: 2.1.3
% 10.54/2.55 % (3253192)Termination reason: Instruction limit
% 10.54/2.55 % (3253192)Termination phase: Saturation
% 10.54/2.55 % (3253192)Time elapsed: 0.109 s
% 10.54/2.55 % (3253192)Peak memory usage: 89 MB
% 10.54/2.55 % (3253192)Instructions burned: 107 (million)
% 10.54/2.55 % (3253164)Refutation found. Thanks to Tanya!
% 10.54/2.55 % SZS status Unsatisfiable for theBenchmark
% 10.54/2.55 % SZS output start Proof for theBenchmark
% See solution above
% 11.65/2.80 % (3253164)------------------------------
% 11.65/2.80 % (3253164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.65/2.80 % (3253164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.65/2.80 % (3253164)CaDiCaL version: 2.1.3
% 11.65/2.80 % (3253164)Termination reason: Refutation
% 11.65/2.80 % (3253164)Time elapsed: 1.017 s
% 11.65/2.80 % (3253164)Peak memory usage: 131 MB
% 11.65/2.80 % (3253164)Instructions burned: 1137 (million)
% 11.65/2.80 % (3253164)------------------------------
% 11.65/2.80 % (3253164)------------------------------
% 11.65/2.80 % (3253159)Success in time 1.526 s
% 11.65/2.80 % Vampire exiting
%------------------------------------------------------------------------------