%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWC303-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 01:03:22 PM UTC 2026
% Result : Unsatisfiable 14.29s 2.80s
% Output : Refutation 15.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 24
% Syntax : Number of formulae : 98 ( 37 unt; 6 def)
% Number of atoms : 286 ( 41 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 377 ( 189 ~; 188 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-2 aty)
% Number of variables : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).
fof(f85,axiom,
! [X0,X1] :
( ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).
fof(f86,axiom,
! [X0,X1] :
( ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).
fof(f117,axiom,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).
fof(f125,axiom,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| app(cons(X0,nil),X1) = cons(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).
fof(f126,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,nil),X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(reorient_equations,[],[f125]) ).
fof(f128,axiom,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).
fof(f159,axiom,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause147) ).
fof(f161,axiom,
! [X2,X0,X1] :
( app(app(X2,X1),X0) = app(X2,app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).
fof(f196,axiom,
! [X2,X3,X0,X1,X4,X5] :
( app(app(X0,cons(X1,X2)),cons(X3,X4)) != X5
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderedP(X5)
| ~ ssList(X5)
| leq(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause182) ).
fof(f206,negated_conjecture,
sk3 = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f207,plain,
sk1 = sk3,
inference(reorient_equations,[],[f206]) ).
fof(f211,negated_conjecture,
totalorderedP(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f214,negated_conjecture,
ssItem(sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f215,negated_conjecture,
ssItem(sk7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f216,negated_conjecture,
ssList(sk8),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_13) ).
fof(f217,negated_conjecture,
ssList(sk9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_14) ).
fof(f218,negated_conjecture,
ssList(sk10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_15) ).
fof(f219,negated_conjecture,
app(app(app(app(sk8,cons(sk6,nil)),sk9),cons(sk7,nil)),sk10) = sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_16) ).
fof(f220,plain,
sk1 = app(app(app(app(sk8,cons(sk6,nil)),sk9),cons(sk7,nil)),sk10),
inference(reorient_equations,[],[f219]) ).
fof(f221,negated_conjecture,
lt(sk7,sk6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_17) ).
fof(f225,plain,
sk3 = app(app(app(app(sk8,cons(sk6,nil)),sk9),cons(sk7,nil)),sk10),
inference(definition_unfolding,[],[f220,f207]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| leq(X1,X3) ),
inference(equality_resolution,[],[f196]) ).
fof(f253,definition,
sF1 = cons(sk6,nil),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f254,plain,
cons(sk6,nil) = sF1,
inference(reorient_equations,[],[f253]) ).
fof(f255,definition,
sF2 = app(sk8,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f256,plain,
app(sk8,sF1) = sF2,
inference(reorient_equations,[],[f255]) ).
fof(f257,definition,
sF3 = app(sF2,sk9),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f258,plain,
app(sF2,sk9) = sF3,
inference(reorient_equations,[],[f257]) ).
fof(f259,definition,
sF4 = cons(sk7,nil),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f260,plain,
cons(sk7,nil) = sF4,
inference(reorient_equations,[],[f259]) ).
fof(f261,definition,
sF5 = app(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f262,plain,
app(sF3,sF4) = sF5,
inference(reorient_equations,[],[f261]) ).
fof(f263,definition,
sF6 = app(sF5,sk10),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f264,plain,
app(sF5,sk10) = sF6,
inference(reorient_equations,[],[f263]) ).
fof(f265,plain,
sk3 = sF6,
inference(definition_folding,[],[f225,f264,f262,f260,f258,f256,f254]) ).
fof(f273,plain,
sk3 = app(sF5,sk10),
inference(forward_demodulation,[],[f264,f265]) ).
fof(f275,plain,
! [X0] :
( app(sk8,app(sF1,X0)) = app(sF2,X0)
| ~ ssList(sF1)
| ~ ssList(sk8)
| ~ ssList(X0) ),
inference(superposition,[],[f161,f256]) ).
fof(f281,plain,
! [X0] :
( app(sk8,app(sF1,X0)) = app(sF2,X0)
| ~ ssList(sF1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f275,f216]) ).
fof(f283,plain,
! [X0] :
( app(sF3,app(sF4,X0)) = app(sF5,X0)
| ~ ssList(sF4)
| ~ ssList(sF3)
| ~ ssList(X0) ),
inference(superposition,[],[f161,f262]) ).
fof(f313,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(cons(X3,X4))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X4)
| leq(X1,X3) ),
inference(resolution,[],[f85,f246]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ssList(app(X0,app(X1,X2)))
| ~ ssList(app(X0,X1))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(superposition,[],[f85,f161]) ).
fof(f316,plain,
( ssList(sF2)
| ~ ssList(sk8)
| ~ ssList(sF1) ),
inference(superposition,[],[f85,f256]) ).
fof(f318,plain,
( ssList(sF3)
| ~ ssList(sF2)
| ~ ssList(sk9) ),
inference(superposition,[],[f85,f258]) ).
fof(f321,plain,
! [X2,X0,X1] :
( ssList(app(X0,app(X1,X2)))
| ~ ssList(app(X0,X1))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f314]) ).
fof(f322,plain,
( ~ ssList(sF2)
| ssList(sF3) ),
inference(forward_subsumption_resolution,[],[f318,f217]) ).
fof(f324,plain,
( ~ ssList(sF1)
| ssList(sF2) ),
inference(forward_subsumption_resolution,[],[f316,f216]) ).
fof(f325,plain,
! [X2,X0,X1] :
( ssList(app(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f321,f85]) ).
fof(f326,plain,
! [X2,X3,X0,X1,X4] :
( ~ totalorderedP(app(app(X0,cons(X1,X2)),cons(X3,X4)))
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssItem(X3)
| ~ ssItem(X1)
| ~ ssList(app(X0,cons(X1,X2)))
| ~ ssList(X4)
| leq(X1,X3) ),
inference(forward_subsumption_resolution,[],[f313,f86]) ).
fof(f328,plain,
! [X0] :
( app(sF1,X0) = cons(sk6,X0)
| ~ ssList(X0)
| ~ ssItem(sk6) ),
inference(superposition,[],[f126,f254]) ).
fof(f329,plain,
! [X0] :
( app(sF4,X0) = cons(sk7,X0)
| ~ ssList(X0)
| ~ ssItem(sk7) ),
inference(superposition,[],[f126,f260]) ).
fof(f336,plain,
! [X0] :
( app(sF4,X0) = cons(sk7,X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f329,f215]) ).
fof(f337,plain,
! [X0] :
( app(sF1,X0) = cons(sk6,X0)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f328,f214]) ).
fof(f338,plain,
( ~ lt(sk6,sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk7) ),
inference(resolution,[],[f117,f221]) ).
fof(f339,plain,
( ~ lt(sk6,sk7)
| ~ ssItem(sk7) ),
inference(forward_subsumption_resolution,[],[f338,f214]) ).
fof(f340,plain,
~ lt(sk6,sk7),
inference(forward_subsumption_resolution,[],[f339,f215]) ).
fof(f341,plain,
( ssList(sF1)
| ~ ssList(nil)
| ~ ssItem(sk6) ),
inference(superposition,[],[f86,f254]) ).
fof(f342,plain,
( ssList(sF4)
| ~ ssList(nil)
| ~ ssItem(sk7) ),
inference(superposition,[],[f86,f260]) ).
fof(f343,plain,
( ssList(sF4)
| ~ ssItem(sk7) ),
inference(forward_subsumption_resolution,[],[f342,f8]) ).
fof(f344,plain,
( ssList(sF1)
| ~ ssItem(sk6) ),
inference(forward_subsumption_resolution,[],[f341,f8]) ).
fof(f345,plain,
ssList(sF4),
inference(forward_subsumption_resolution,[],[f343,f215]) ).
fof(f346,plain,
ssList(sF1),
inference(forward_subsumption_resolution,[],[f344,f214]) ).
fof(f423,plain,
! [X0] :
( app(sF2,X0) = app(sk8,cons(sk6,X0))
| ~ ssList(sF1)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(superposition,[],[f281,f337]) ).
fof(f433,plain,
! [X0] :
( app(sF2,X0) = app(sk8,cons(sk6,X0))
| ~ ssList(sF1)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f423]) ).
fof(f438,plain,
! [X0] :
( app(sF2,X0) = app(sk8,cons(sk6,X0))
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f433,f346]) ).
fof(f468,plain,
ssList(sF2),
inference(resolution,[],[f324,f346]) ).
fof(f542,plain,
! [X0] :
( app(sF5,X0) = app(sF3,cons(sk7,X0))
| ~ ssList(sF4)
| ~ ssList(sF3)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(superposition,[],[f283,f336]) ).
fof(f549,plain,
! [X0] :
( app(sF5,X0) = app(sF3,cons(sk7,X0))
| ~ ssList(sF4)
| ~ ssList(sF3)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f542]) ).
fof(f553,plain,
! [X0] :
( app(sF5,X0) = app(sF3,cons(sk7,X0))
| ~ ssList(sF3)
| ~ ssList(X0) ),
inference(forward_subsumption_resolution,[],[f549,f345]) ).
fof(f565,plain,
! [X0,X1] :
( ssList(app(X1,cons(sk6,X0)))
| ~ ssList(X0)
| ~ ssList(sF1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(superposition,[],[f325,f337]) ).
fof(f586,plain,
! [X0,X1] :
( ssList(app(X1,cons(sk6,X0)))
| ~ ssList(X0)
| ~ ssList(sF1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f565]) ).
fof(f601,plain,
! [X0,X1] :
( ssList(app(X1,cons(sk6,X0)))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(forward_subsumption_resolution,[],[f586,f346]) ).
fof(f818,plain,
ssList(sF3),
inference(resolution,[],[f468,f322]) ).
fof(f945,plain,
! [X2,X0,X1] :
( ~ totalorderedP(app(app(sF2,X0),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ ssItem(X1)
| ~ ssItem(sk6)
| ~ ssList(app(sk8,cons(sk6,X0)))
| ~ ssList(X2)
| leq(sk6,X1)
| ~ ssList(X0) ),
inference(superposition,[],[f326,f438]) ).
fof(f954,plain,
! [X2,X0,X1] :
( ~ totalorderedP(app(app(sF2,X0),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ ssItem(X1)
| ~ ssItem(sk6)
| ~ ssList(app(sk8,cons(sk6,X0)))
| ~ ssList(X2)
| leq(sk6,X1) ),
inference(duplicate_literal_removal,[],[f945]) ).
fof(f961,plain,
! [X2,X0,X1] :
( ~ totalorderedP(app(app(sF2,X0),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssList(sk8)
| ~ ssItem(X1)
| ~ ssItem(sk6)
| ~ ssList(X2)
| leq(sk6,X1) ),
inference(forward_subsumption_resolution,[],[f954,f601]) ).
fof(f971,plain,
! [X2,X0,X1] :
( ~ totalorderedP(app(app(sF2,X0),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssItem(sk6)
| ~ ssList(X2)
| leq(sk6,X1) ),
inference(forward_subsumption_resolution,[],[f961,f216]) ).
fof(f979,plain,
! [X2,X0,X1] :
( ~ totalorderedP(app(app(sF2,X0),cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| leq(sk6,X1) ),
inference(forward_subsumption_resolution,[],[f971,f214]) ).
fof(f2493,plain,
! [X0] :
( ~ leq(X0,sk7)
| ~ ssItem(sk6)
| ~ ssItem(sk7)
| ~ ssItem(X0)
| lt(X0,sk6) ),
inference(resolution,[],[f159,f221]) ).
fof(f2494,plain,
! [X0] :
( ~ leq(X0,sk7)
| ~ ssItem(sk7)
| ~ ssItem(X0)
| lt(X0,sk6) ),
inference(forward_subsumption_resolution,[],[f2493,f214]) ).
fof(f2495,plain,
! [X0] :
( ~ leq(X0,sk7)
| ~ ssItem(X0)
| lt(X0,sk6) ),
inference(forward_subsumption_resolution,[],[f2494,f215]) ).
fof(f2613,plain,
! [X0,X1] :
( ~ totalorderedP(app(sF3,cons(X0,X1)))
| ~ ssList(sk9)
| ~ ssItem(X0)
| ~ ssList(X1)
| leq(sk6,X0) ),
inference(superposition,[],[f979,f258]) ).
fof(f2631,plain,
! [X0,X1] :
( ~ totalorderedP(app(sF3,cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1)
| leq(sk6,X0) ),
inference(forward_subsumption_resolution,[],[f2613,f217]) ).
fof(f2641,plain,
! [X0] :
( ~ totalorderedP(app(sF5,X0))
| ~ ssItem(sk7)
| ~ ssList(X0)
| leq(sk6,sk7)
| ~ ssList(sF3)
| ~ ssList(X0) ),
inference(superposition,[],[f2631,f553]) ).
fof(f2642,plain,
! [X0] :
( ~ totalorderedP(app(sF5,X0))
| ~ ssItem(sk7)
| ~ ssList(X0)
| leq(sk6,sk7)
| ~ ssList(sF3) ),
inference(duplicate_literal_removal,[],[f2641]) ).
fof(f2643,plain,
! [X0] :
( ~ totalorderedP(app(sF5,X0))
| ~ ssList(X0)
| leq(sk6,sk7)
| ~ ssList(sF3) ),
inference(forward_subsumption_resolution,[],[f2642,f215]) ).
fof(f2648,plain,
! [X0] :
( ~ totalorderedP(app(sF5,X0))
| ~ ssList(X0)
| leq(sk6,sk7) ),
inference(forward_subsumption_resolution,[],[f2643,f818]) ).
fof(f2659,plain,
( ~ totalorderedP(sk3)
| ~ ssList(sk10)
| leq(sk6,sk7) ),
inference(superposition,[],[f2648,f273]) ).
fof(f2664,plain,
( ~ ssList(sk10)
| leq(sk6,sk7) ),
inference(forward_subsumption_resolution,[],[f2659,f211]) ).
fof(f2665,plain,
leq(sk6,sk7),
inference(forward_subsumption_resolution,[],[f2664,f218]) ).
fof(f2666,plain,
( ~ ssItem(sk6)
| lt(sk6,sk6) ),
inference(resolution,[],[f2665,f2495]) ).
fof(f2667,plain,
( ~ ssItem(sk7)
| ~ ssItem(sk6)
| lt(sk6,sk7)
| sk6 = sk7 ),
inference(resolution,[],[f2665,f128]) ).
fof(f2668,plain,
( ~ ssItem(sk6)
| lt(sk6,sk7)
| sk6 = sk7 ),
inference(forward_subsumption_resolution,[],[f2667,f215]) ).
fof(f2669,plain,
lt(sk6,sk6),
inference(forward_subsumption_resolution,[],[f2666,f214]) ).
fof(f2670,plain,
( lt(sk6,sk7)
| sk6 = sk7 ),
inference(forward_subsumption_resolution,[],[f2668,f214]) ).
fof(f2671,plain,
sk6 = sk7,
inference(forward_subsumption_resolution,[],[f2670,f340]) ).
fof(f2675,plain,
~ lt(sk6,sk6),
inference(superposition,[],[f340,f2671]) ).
fof(f2694,plain,
$false,
inference(forward_subsumption_resolution,[],[f2675,f2669]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC303-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n010.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 08:59:32 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 13.80/2.67 % (1785226)Input is clausal, will run a generic CNF schedule.
% 13.80/2.67 % (1785313)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2807038568:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 13.80/2.67 % (1785310)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=3366633673:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 13.80/2.67 % (1785318)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2138856314:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 13.80/2.67 % (1785311)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=604508592:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 13.80/2.67 % (1785314)lrs+10_1_sil=8000:sp=occurrence:random_seed=2454420779:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 13.80/2.67 % (1785316)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3206203568:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 13.80/2.67 % (1785319)dis-21_1_sil=8000:lcm=predicate:random_seed=3800744886: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)
% 13.80/2.67 % (1785314)Instruction limit reached!
% 13.80/2.67 % (1785314)------------------------------
% 13.80/2.67 % (1785314)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.80/2.67 % (1785314)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/2.67 % (1785314)CaDiCaL version: 2.1.3
% 13.80/2.67 % (1785314)Termination reason: Instruction limit
% 13.80/2.67 % (1785314)Termination phase: Saturation
% 13.80/2.67 % (1785314)Time elapsed: 0.066 s
% 13.80/2.67 % (1785314)Peak memory usage: 90 MB
% 13.80/2.67 % (1785314)Instructions burned: 108 (million)
% 13.80/2.67 % (1785319)Instruction limit reached!
% 13.80/2.67 % (1785319)------------------------------
% 13.80/2.67 % (1785319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.80/2.67 % (1785319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/2.67 % (1785319)CaDiCaL version: 2.1.3
% 13.80/2.67 % (1785319)Termination reason: Instruction limit
% 13.80/2.67 % (1785319)Termination phase: Saturation
% 13.80/2.67 % (1785319)Time elapsed: 0.054 s
% 13.80/2.67 % (1785319)Peak memory usage: 89 MB
% 13.80/2.67 % (1785319)Instructions burned: 117 (million)
% 13.80/2.67 % (1785316)Instruction limit reached!
% 13.80/2.67 % (1785316)------------------------------
% 13.80/2.67 % (1785316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.80/2.67 % (1785316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/2.67 % (1785316)CaDiCaL version: 2.1.3
% 13.80/2.67 % (1785316)Termination reason: Instruction limit
% 13.80/2.67 % (1785316)Termination phase: Saturation
% 13.80/2.67 % (1785316)Time elapsed: 0.067 s
% 13.80/2.67 % (1785316)Peak memory usage: 89 MB
% 13.80/2.67 % (1785316)Instructions burned: 117 (million)
% 13.80/2.67 % (1785318)Instruction limit reached!
% 13.80/2.67 % (1785318)------------------------------
% 13.80/2.67 % (1785318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.80/2.67 % (1785318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.80/2.67 % (1785318)CaDiCaL version: 2.1.3
% 13.80/2.67 % (1785318)Termination reason: Instruction limit
% 13.80/2.67 % (1785318)Termination phase: Saturation
% 13.80/2.67 % (1785318)Time elapsed: 0.129 s
% 13.80/2.67 % (1785318)Peak memory usage: 90 MB
% 13.80/2.67 % (1785318)Instructions burned: 181 (million)
% 13.80/2.67 % (1785368)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=2587608245:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 13.80/2.67 % (1785370)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3498826895:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 13.80/2.67 % (1785372)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=547730989:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 13.80/2.67 % (1785378)lrs+10_64_to=lpo:sil=8000:random_seed=1290413759:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 13.80/2.67 % (1785368)Instruction limit reached!
% 14.29/2.79 % (1785368)------------------------------
% 14.29/2.79 % (1785368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.79 % (1785368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.79 % (1785368)CaDiCaL version: 2.1.3
% 14.29/2.79 % (1785368)Termination reason: Instruction limit
% 14.29/2.79 % (1785368)Termination phase: Saturation
% 14.29/2.79 % (1785368)Time elapsed: 0.092 s
% 14.29/2.79 % (1785368)Peak memory usage: 90 MB
% 14.29/2.79 % (1785368)Instructions burned: 144 (million)
% 14.29/2.79 % (1785370)Instruction limit reached!
% 14.29/2.79 % (1785370)------------------------------
% 14.29/2.79 % (1785370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.79 % (1785370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.79 % (1785370)CaDiCaL version: 2.1.3
% 14.29/2.79 % (1785370)Termination reason: Instruction limit
% 14.29/2.79 % (1785370)Termination phase: Saturation
% 14.29/2.79 % (1785370)Time elapsed: 0.094 s
% 14.29/2.79 % (1785370)Peak memory usage: 91 MB
% 14.29/2.79 % (1785370)Instructions burned: 190 (million)
% 14.29/2.79 % (1785378)Instruction limit reached!
% 14.29/2.79 % (1785378)------------------------------
% 14.29/2.79 % (1785378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.79 % (1785378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.79 % (1785378)CaDiCaL version: 2.1.3
% 14.29/2.79 % (1785378)Termination reason: Instruction limit
% 14.29/2.79 % (1785378)Termination phase: Saturation
% 14.29/2.79 % (1785378)Time elapsed: 0.066 s
% 14.29/2.79 % (1785378)Peak memory usage: 90 MB
% 14.29/2.79 % (1785378)Instructions burned: 127 (million)
% 14.29/2.79 % (1785383)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2917887916:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 14.29/2.79 % (1785372)Instruction limit reached!
% 14.29/2.79 % (1785372)------------------------------
% 14.29/2.79 % (1785372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.79 % (1785372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.79 % (1785372)CaDiCaL version: 2.1.3
% 14.29/2.79 % (1785372)Termination reason: Instruction limit
% 14.29/2.79 % (1785372)Termination phase: Saturation
% 14.29/2.79 % (1785372)Time elapsed: 0.188 s
% 14.29/2.79 % (1785372)Peak memory usage: 90 MB
% 14.29/2.79 % (1785372)Instructions burned: 221 (million)
% 14.29/2.79 % (1785384)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4220921550:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 14.29/2.79 % (1785383)Instruction limit reached!
% 14.29/2.79 % (1785383)------------------------------
% 14.29/2.79 % (1785383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.79 % (1785383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.79 % (1785383)CaDiCaL version: 2.1.3
% 14.29/2.79 % (1785383)Termination reason: Instruction limit
% 14.29/2.79 % (1785383)Termination phase: Saturation
% 14.29/2.79 % (1785383)Time elapsed: 0.065 s
% 14.29/2.79 % (1785383)Peak memory usage: 90 MB
% 14.29/2.79 % (1785383)Instructions burned: 199 (million)
% 14.29/2.79 % (1785385)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=93236295:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 14.29/2.79 % (1785384)Instruction limit reached!
% 14.29/2.79 % (1785384)------------------------------
% 14.29/2.80 % (1785384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.80 % (1785384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.80 % (1785384)CaDiCaL version: 2.1.3
% 14.29/2.80 % (1785384)Termination reason: Instruction limit
% 14.29/2.80 % (1785384)Termination phase: Saturation
% 14.29/2.80 % (1785384)Time elapsed: 0.095 s
% 14.29/2.80 % (1785384)Peak memory usage: 91 MB
% 14.29/2.80 % (1785384)Instructions burned: 157 (million)
% 14.29/2.80 % (1785387)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=2770817639:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 14.29/2.80 % (1785389)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1635288331:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 14.29/2.80 % (1785389)Instruction limit reached!
% 14.29/2.80 % (1785389)------------------------------
% 14.29/2.80 % (1785389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.80 % (1785389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.80 % (1785389)CaDiCaL version: 2.1.3
% 14.29/2.80 % (1785389)Termination reason: Instruction limit
% 14.29/2.80 % (1785389)Termination phase: Saturation
% 14.29/2.80 % (1785389)Time elapsed: 0.034 s
% 14.29/2.80 % (1785389)Peak memory usage: 90 MB
% 14.29/2.80 % (1785389)Instructions burned: 108 (million)
% 14.29/2.80 % (1785387)Instruction limit reached!
% 14.29/2.80 % (1785387)------------------------------
% 14.29/2.80 % (1785387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.80 % (1785387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.80 % (1785387)CaDiCaL version: 2.1.3
% 14.29/2.80 % (1785387)Termination reason: Instruction limit
% 14.29/2.80 % (1785387)Termination phase: Saturation
% 14.29/2.80 % (1785387)Time elapsed: 0.056 s
% 14.29/2.80 % (1785387)Peak memory usage: 90 MB
% 14.29/2.80 % (1785387)Instructions burned: 108 (million)
% 14.29/2.80 % (1785391)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2525340053:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 14.29/2.80 % (1785394)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3239905247:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 14.29/2.80 % (1785395)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=961710883:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 14.29/2.80 % (1785391)Instruction limit reached!
% 14.29/2.80 % (1785391)------------------------------
% 14.29/2.80 % (1785391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.80 % (1785391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.80 % (1785391)CaDiCaL version: 2.1.3
% 14.29/2.80 % (1785391)Termination reason: Instruction limit
% 14.29/2.80 % (1785391)Termination phase: Saturation
% 14.29/2.80 % (1785391)Time elapsed: 0.218 s
% 14.29/2.80 % (1785391)Peak memory usage: 90 MB
% 14.29/2.80 % (1785391)Instructions burned: 242 (million)
% 14.29/2.80 % (1785395)Instruction limit reached!
% 14.29/2.80 % (1785395)------------------------------
% 14.29/2.80 % (1785395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.80 % (1785395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.80 % (1785395)CaDiCaL version: 2.1.3
% 14.29/2.80 % (1785395)Termination reason: Instruction limit
% 14.29/2.80 % (1785395)Termination phase: Saturation
% 14.29/2.80 % (1785395)Time elapsed: 0.134 s
% 14.29/2.80 % (1785395)Peak memory usage: 90 MB
% 14.29/2.80 % (1785395)Instructions burned: 135 (million)
% 14.29/2.80 % (1785417)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2065486590:i=499:bd=all_2988 on theBenchmark for (2988ds/499Mi)
% 14.29/2.80 % (1785420)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=264956583:i=191:fgj=on:bd=all_2987 on theBenchmark for (2987ds/191Mi)
% 14.29/2.80 % (1785420)Instruction limit reached!
% 14.29/2.80 % (1785420)------------------------------
% 14.29/2.80 % (1785420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.80 % (1785420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.80 % (1785420)CaDiCaL version: 2.1.3
% 14.29/2.80 % (1785420)Termination reason: Instruction limit
% 14.29/2.80 % (1785420)Termination phase: Saturation
% 14.29/2.80 % (1785420)Time elapsed: 0.191 s
% 14.29/2.80 % (1785420)Peak memory usage: 92 MB
% 14.29/2.80 % (1785420)Instructions burned: 191 (million)
% 14.29/2.80 % (1785417)Instruction limit reached!
% 14.29/2.80 % (1785417)------------------------------
% 14.29/2.80 % (1785417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.29/2.80 % (1785417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.29/2.80 % (1785417)CaDiCaL version: 2.1.3
% 14.29/2.80 % (1785417)Termination reason: Instruction limit
% 14.29/2.80 % (1785417)Termination phase: Saturation
% 14.29/2.80 % (1785417)Time elapsed: 0.378 s
% 14.29/2.80 % (1785417)Peak memory usage: 102 MB
% 14.29/2.80 % (1785417)Instructions burned: 500 (million)
% 14.29/2.80 % (1785394)First to succeed.
% 14.29/2.80 % (1785394)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1785226"
% 14.29/2.80 % (1785433)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2885668245:i=264:kws=precedence:fsr=off_2982 on theBenchmark for (2982ds/264Mi)
% 14.29/2.80 % (1785434)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1211406199:cond=on:i=156:bs=on:gtg=exists_all:er=known_2981 on theBenchmark for (2981ds/156Mi)
% 14.29/2.80 % (1785394)Refutation found. Thanks to Tanya!
% 14.29/2.80 % SZS status Unsatisfiable for theBenchmark
% 14.29/2.80 % SZS output start Proof for theBenchmark
% See solution above
% 15.67/3.05 % (1785394)------------------------------
% 15.67/3.05 % (1785394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.67/3.05 % (1785394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.67/3.05 % (1785394)CaDiCaL version: 2.1.3
% 15.67/3.05 % (1785394)Termination reason: Refutation
% 15.67/3.05 % (1785394)Time elapsed: 0.820 s
% 15.67/3.05 % (1785394)Peak memory usage: 133 MB
% 15.67/3.05 % (1785394)Instructions burned: 1508 (million)
% 15.67/3.05 % (1785394)------------------------------
% 15.67/3.05 % (1785394)------------------------------
% 15.67/3.05 % (1785226)Success in time 2.125 s
% 15.67/3.05 % Vampire exiting
%------------------------------------------------------------------------------