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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL390+1 : TPTP v9.3.1. Released v9.1.0.
% 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 11:52:14 AM UTC 2026

% Result   : Theorem 15.03s 2.87s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   42
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   77 (  42 unt;   0 def)
%            Number of atoms       :  122 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   91 (  46   ~;  43   |;   1   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :  212 ( 212   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ( is_a_theorem(implies(X0,X1))
        & is_a_theorem(X0) )
     => is_a_theorem(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).

fof(f2,axiom,
    ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

fof(f3,axiom,
    ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_2) ).

fof(f4,axiom,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_3) ).

fof(f5,conjecture,
    is_a_theorem(implies(implies(not(x),y),implies(implies(x,y),y))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_53) ).

fof(f6,negated_conjecture,
    ~ is_a_theorem(implies(implies(not(x),y),implies(implies(x,y),y))),
    inference(negated_conjecture,[status(cth)],[f5]) ).

fof(f7,plain,
    ~ is_a_theorem(implies(implies(not(x),y),implies(implies(x,y),y))),
    inference(flattening,[],[f6]) ).

fof(f8,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0) ),
    inference(ennf_transformation,[],[f1]) ).

fof(f9,plain,
    ! [X0,X1] :
      ( is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0) ),
    inference(flattening,[],[f8]) ).

fof(f10,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(X1)
      | ~ is_a_theorem(X0) ),
    inference(cnf_transformation,[],[f9]) ).

fof(f11,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    inference(cnf_transformation,[],[f2]) ).

fof(f12,plain,
    ! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
    inference(cnf_transformation,[],[f3]) ).

fof(f13,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(not(X0),X1))),
    inference(cnf_transformation,[],[f4]) ).

fof(f14,plain,
    ~ is_a_theorem(implies(implies(not(x),y),implies(implies(x,y),y))),
    inference(cnf_transformation,[],[f7]) ).

fof(f15,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X2,X0))
      | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(resolution,[],[f10,f11]) ).

fof(f16,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3))),
    inference(resolution,[],[f15,f11]) ).

fof(f18,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2))
      | is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[],[f16,f10]) ).

fof(f19,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(not(X0),X1),X2),implies(X0,X2))),
    inference(resolution,[],[f13,f15]) ).

fof(f22,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(not(X0),X2),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f19,f10]) ).

fof(f23,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
    inference(resolution,[],[f12,f15]) ).

fof(f24,plain,
    ! [X0] :
      ( ~ is_a_theorem(implies(not(X0),X0))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f12,f10]) ).

fof(f25,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
    inference(resolution,[],[f23,f15]) ).

fof(f29,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X0,implies(X3,X2))))),
    inference(resolution,[],[f18,f16]) ).

fof(f30,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
    inference(resolution,[],[f18,f25]) ).

fof(f31,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X3),implies(implies(X1,X2),X3)))),
    inference(resolution,[],[f18,f11]) ).

fof(f33,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
    inference(resolution,[],[f18,f19]) ).

fof(f37,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X2,implies(not(X0),X0)))
      | is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
    inference(resolution,[],[f30,f10]) ).

fof(f69,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X1),X2)))
      | ~ is_a_theorem(implies(X0,X3)) ),
    inference(resolution,[],[f31,f10]) ).

fof(f73,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
      | ~ is_a_theorem(implies(X2,implies(X1,X3))) ),
    inference(resolution,[],[f29,f10]) ).

fof(f78,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X3,X1))
      | is_a_theorem(implies(X0,implies(X3,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f73,f10]) ).

fof(f79,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(X0,implies(implies(implies(X2,X4),implies(X1,X4)),X3)))
      | is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) ),
    inference(resolution,[],[f78,f11]) ).

fof(f89,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(not(X1),X3),X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f78,f13]) ).

fof(f105,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
    inference(resolution,[],[f33,f22]) ).

fof(f122,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X0,X2),X3))
      | is_a_theorem(implies(implies(X1,X2),X3))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f69,f10]) ).

fof(f133,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X3,X2))))
      | ~ is_a_theorem(implies(X3,X0)) ),
    inference(resolution,[],[f122,f11]) ).

fof(f144,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X1),X0))
      | is_a_theorem(implies(implies(X0,X1),X1)) ),
    inference(resolution,[],[f122,f12]) ).

fof(f152,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | is_a_theorem(implies(implies(X2,X3),implies(X0,X3)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f133,f10]) ).

fof(f171,plain,
    ! [X2,X3,X0,X1,X4] :
      ( is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X4,X3)))
      | ~ is_a_theorem(implies(X4,implies(X2,X0))) ),
    inference(resolution,[],[f152,f11]) ).

fof(f472,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))
      | is_a_theorem(implies(X0,X3))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f171,f10]) ).

fof(f483,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X3,implies(not(X1),X1))))
      | is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
    inference(resolution,[],[f472,f25]) ).

fof(f517,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
    inference(resolution,[],[f483,f105]) ).

fof(f537,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X0,implies(X1,X2)))),
    inference(resolution,[],[f517,f89]) ).

fof(f551,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(implies(X1,X2),implies(X0,X2)))),
    inference(resolution,[],[f537,f483]) ).

fof(f559,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
    inference(resolution,[],[f551,f89]) ).

fof(f567,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
    inference(resolution,[],[f559,f37]) ).

fof(f583,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(not(X1),implies(X0,X2)))),
    inference(resolution,[],[f567,f18]) ).

fof(f606,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(not(X0),implies(X1,X2)))
      | ~ is_a_theorem(implies(X1,X0)) ),
    inference(resolution,[],[f583,f10]) ).

fof(f608,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X0,X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f606,f24]) ).

fof(f631,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f608,f559]) ).

fof(f636,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
    inference(resolution,[],[f631,f144]) ).

fof(f649,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f636,f472]) ).

fof(f726,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f649,f73]) ).

fof(f748,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(resolution,[],[f649,f517]) ).

fof(f787,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
    inference(resolution,[],[f748,f79]) ).

fof(f791,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X1),X2),implies(X0,X2))),
    inference(resolution,[],[f748,f15]) ).

fof(f806,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(not(X2),X1)))),
    inference(resolution,[],[f787,f89]) ).

fof(f813,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X0,X2)))
      | ~ is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[],[f787,f10]) ).

fof(f819,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
    inference(resolution,[],[f791,f18]) ).

fof(f852,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,implies(X0,X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f819,f10]) ).

fof(f965,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X2,X0))
      | is_a_theorem(implies(X2,X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f813,f10]) ).

fof(f1062,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f726,f10]) ).

fof(f1118,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X1,X2)))),
    inference(resolution,[],[f806,f483]) ).

fof(f1146,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X0,X1)))),
    inference(resolution,[],[f1118,f852]) ).

fof(f1164,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X1)))),
    inference(resolution,[],[f1146,f89]) ).

fof(f1197,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(X0,implies(X1,X2)))
      | ~ is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[],[f1164,f10]) ).

fof(f1262,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(not(X0),X1),X2))
      | is_a_theorem(implies(X3,implies(X0,X2))) ),
    inference(resolution,[],[f1197,f89]) ).

fof(f1719,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
    inference(resolution,[],[f1262,f12]) ).

fof(f1787,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X2),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1719,f965]) ).

fof(f1789,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(implies(X3,X3),X2)))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f1719,f78]) ).

fof(f1945,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(not(X1),X1),X1))),
    inference(resolution,[],[f1787,f23]) ).

fof(f2141,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1945,f1062]) ).

fof(f2379,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
    inference(resolution,[],[f1789,f30]) ).

fof(f2466,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
    inference(resolution,[],[f2379,f2141]) ).

fof(f2489,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
    inference(resolution,[],[f2466,f18]) ).

fof(f2531,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(implies(X1,X0),X0),X2))
      | is_a_theorem(implies(implies(not(X0),X1),X2)) ),
    inference(resolution,[],[f2489,f965]) ).

fof(f3466,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(not(X1),X0))),
    inference(resolution,[],[f2531,f567]) ).

fof(f3481,plain,
    $false,
    inference(unit_resulting_resolution,[],[f472,f14,f2466,f3466]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL390+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37  % Computer : n010.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8046.5625MB
% 0.13/0.37  % OS       : Linux 6.8.0-71-generic
% 0.13/0.38  % CPULimit : 300
% 0.13/0.38  % WCLimit  : 300
% 0.13/0.38  % DateTime : Sun Sep 27 15:39:16 UTC 2026
% 0.13/0.38  % CPUTime  : 
% 0.13/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41  Running first-order theorem proving
% 0.13/0.41  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
% 15.03/2.87  % (1113661)Detected formulas, will run a generic FOF schedule.
% 15.03/2.87  % (1113742)dis-21_1_sil=8000:lcm=predicate:random_seed=2896382855: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)
% 15.03/2.87  % (1113737)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=2345907138:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 15.03/2.87  % (1113738)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=226323688:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 15.03/2.87  % (1113736)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=3154044936:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 15.03/2.87  % (1113741)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=107375730:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 15.03/2.87  % (1113735)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=3801164767:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 15.03/2.87  % (1113738)Refutation not found, incomplete strategy
% 15.03/2.87  % (1113738)------------------------------
% 15.03/2.87  % (1113738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113738)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113738)Termination reason: Refutation not found, incomplete strategy
% 15.03/2.87  % (1113738)Time elapsed: 0.001 s
% 15.03/2.87  % (1113738)Peak memory usage: 87 MB
% 15.03/2.87  % (1113740)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3932231731:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 15.03/2.87  % (1113742)Instruction limit reached! 
% 15.03/2.87  % (1113742)------------------------------
% 15.03/2.87  % (1113742)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113742)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113742)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113742)Termination reason: Instruction limit
% 15.03/2.87  % (1113742)Termination phase: Saturation
% 15.03/2.87  % (1113742)Time elapsed: 0.045 s
% 15.03/2.87  % (1113742)Peak memory usage: 89 MB
% 15.03/2.87  % (1113742)Instructions burned: 130 (million)
% 15.03/2.87  % (1113740)Instruction limit reached! 
% 15.03/2.87  % (1113740)------------------------------
% 15.03/2.87  % (1113740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113740)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113740)Termination reason: Instruction limit
% 15.03/2.87  % (1113740)Termination phase: Saturation
% 15.03/2.87  % (1113740)Time elapsed: 0.071 s
% 15.03/2.87  % (1113740)Peak memory usage: 87 MB
% 15.03/2.87  % (1113740)Instructions burned: 119 (million)
% 15.03/2.87  % (1113741)Instruction limit reached! 
% 15.03/2.87  % (1113741)------------------------------
% 15.03/2.87  % (1113741)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113741)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113741)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113741)Termination reason: Instruction limit
% 15.03/2.87  % (1113741)Termination phase: Saturation
% 15.03/2.87  % (1113741)Time elapsed: 0.095 s
% 15.03/2.87  % (1113741)Peak memory usage: 89 MB
% 15.03/2.87  % (1113741)Instructions burned: 139 (million)
% 15.03/2.87  % (1113777)lrs+10_1_sil=8000:sp=occurrence:random_seed=367165458:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 15.03/2.87  % (1113777)Instruction limit reached! 
% 15.03/2.87  % (1113777)------------------------------
% 15.03/2.87  % (1113777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113777)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113777)Termination reason: Instruction limit
% 15.03/2.87  % (1113777)Termination phase: Saturation
% 15.03/2.87  % (1113777)Time elapsed: 0.095 s
% 15.03/2.87  % (1113777)Peak memory usage: 91 MB
% 15.03/2.87  % (1113777)Instructions burned: 288 (million)
% 15.03/2.87  % (1113782)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3953589164:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 15.03/2.87  % (1113738)------------------------------
% 15.03/2.87  % (1113738)------------------------------
% 15.03/2.87  % (1113783)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3583491042:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.03/2.87  % (1113782)Instruction limit reached! 
% 15.03/2.87  % (1113782)------------------------------
% 15.03/2.87  % (1113782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113782)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113782)Termination reason: Instruction limit
% 15.03/2.87  % (1113782)Termination phase: Saturation
% 15.03/2.87  % (1113782)Time elapsed: 0.095 s
% 15.03/2.87  % (1113782)Peak memory usage: 90 MB
% 15.03/2.87  % (1113782)Instructions burned: 159 (million)
% 15.03/2.87  % (1113785)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=2086084213:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 15.03/2.87  % (1113785)Instruction limit reached! 
% 15.03/2.87  % (1113785)------------------------------
% 15.03/2.87  % (1113785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113785)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113785)Termination reason: Instruction limit
% 15.03/2.87  % (1113785)Termination phase: Saturation
% 15.03/2.87  % (1113785)Time elapsed: 0.074 s
% 15.03/2.87  % (1113785)Peak memory usage: 90 MB
% 15.03/2.87  % (1113785)Instructions burned: 249 (million)
% 15.03/2.87  % (1113789)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1109431335:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 15.03/2.87  % (1113789)Refutation not found, incomplete strategy
% 15.03/2.87  % (1113789)------------------------------
% 15.03/2.87  % (1113789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113789)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113789)Termination reason: Refutation not found, incomplete strategy
% 15.03/2.87  % (1113789)Time elapsed: 0.001 s
% 15.03/2.87  % (1113789)Peak memory usage: 88 MB
% 15.03/2.87  % (1113783)Instruction limit reached! 
% 15.03/2.87  % (1113783)------------------------------
% 15.03/2.87  % (1113783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113783)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113783)Termination reason: Instruction limit
% 15.03/2.87  % (1113783)Termination phase: Saturation
% 15.03/2.87  % (1113783)Time elapsed: 0.219 s
% 15.03/2.87  % (1113783)Peak memory usage: 93 MB
% 15.03/2.87  % (1113783)Instructions burned: 325 (million)
% 15.03/2.87  % (1113802)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1511992564:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 15.03/2.87  % (1113804)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2145920605:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.03/2.87  % (1113804)Instruction limit reached! 
% 15.03/2.87  % (1113804)------------------------------
% 15.03/2.87  % (1113804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113804)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113804)Termination reason: Instruction limit
% 15.03/2.87  % (1113804)Termination phase: Saturation
% 15.03/2.87  % (1113804)Time elapsed: 0.038 s
% 15.03/2.87  % (1113804)Peak memory usage: 89 MB
% 15.03/2.87  % (1113804)Instructions burned: 115 (million)
% 15.03/2.87  % (1113807)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2737299954:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 15.03/2.87  % (1113789)------------------------------
% 15.03/2.87  % (1113789)------------------------------
% 15.03/2.87  % (1113809)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4072072051:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 15.03/2.87  % (1113807)Instruction limit reached! 
% 15.03/2.87  % (1113807)------------------------------
% 15.03/2.87  % (1113807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113807)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113807)Termination reason: Instruction limit
% 15.03/2.87  % (1113807)Termination phase: Saturation
% 15.03/2.87  % (1113807)Time elapsed: 0.074 s
% 15.03/2.87  % (1113807)Peak memory usage: 88 MB
% 15.03/2.87  % (1113807)Instructions burned: 129 (million)
% 15.03/2.87  % (1113809)Instruction limit reached! 
% 15.03/2.87  % (1113809)------------------------------
% 15.03/2.87  % (1113809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113809)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113809)Termination reason: Instruction limit
% 15.03/2.87  % (1113809)Termination phase: Saturation
% 15.03/2.87  % (1113809)Time elapsed: 0.043 s
% 15.03/2.87  % (1113809)Peak memory usage: 89 MB
% 15.03/2.87  % (1113809)Instructions burned: 115 (million)
% 15.03/2.87  % (1113811)lrs+10_1_sil=8000:sp=occurrence:random_seed=2781033322:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 15.03/2.87  % (1113813)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4222712928:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 15.03/2.87  % (1113813)Refutation not found, incomplete strategy
% 15.03/2.87  % (1113813)------------------------------
% 15.03/2.87  % (1113813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113813)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113813)Termination reason: Refutation not found, incomplete strategy
% 15.03/2.87  % (1113813)Time elapsed: 0.002 s
% 15.03/2.87  % (1113813)Peak memory usage: 88 MB
% 15.03/2.87  % (1113814)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3875388558:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 15.03/2.87  % (1113813)------------------------------
% 15.03/2.87  % (1113813)------------------------------
% 15.03/2.87  % (1113736)First to succeed.
% 15.03/2.87  % (1113842)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=862869833:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 15.03/2.87  % (1113736)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1113661"
% 15.03/2.87  % (1113842)Instruction limit reached! 
% 15.03/2.87  % (1113842)------------------------------
% 15.03/2.87  % (1113842)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113842)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113842)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113842)Termination reason: Instruction limit
% 15.03/2.87  % (1113842)Termination phase: Saturation
% 15.03/2.87  % (1113842)Time elapsed: 0.068 s
% 15.03/2.87  % (1113842)Peak memory usage: 89 MB
% 15.03/2.87  % (1113842)Instructions burned: 136 (million)
% 15.03/2.87  % (1113811)Instruction limit reached! 
% 15.03/2.87  % (1113811)------------------------------
% 15.03/2.87  % (1113811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113811)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113811)Termination reason: Instruction limit
% 15.03/2.87  % (1113811)Termination phase: Saturation
% 15.03/2.87  % (1113811)Time elapsed: 0.917 s
% 15.03/2.87  % (1113811)Peak memory usage: 95 MB
% 15.03/2.87  % (1113811)Instructions burned: 907 (million)
% 15.03/2.87  % (1113849)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3365508157:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 15.03/2.87  % (1113849)Refutation not found, incomplete strategy
% 15.03/2.87  % (1113849)------------------------------
% 15.03/2.87  % (1113849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.03/2.87  % (1113849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.03/2.87  % (1113849)CaDiCaL version: 2.1.3
% 15.03/2.87  % (1113849)Termination reason: Refutation not found, incomplete strategy
% 15.03/2.87  % (1113849)Time elapsed: 0.002 s
% 15.03/2.87  % (1113849)Peak memory usage: 88 MB
% 15.03/2.87  % (1113736)Refutation found. Thanks to Tanya!
% 15.03/2.87  % SZS status Theorem for theBenchmark
% 15.03/2.87  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/3.15  % (1113736)------------------------------
% 0.17/3.15  % (1113736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/3.15  % (1113736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/3.15  % (1113736)CaDiCaL version: 2.1.3
% 0.17/3.15  % (1113736)Termination reason: Refutation
% 0.17/3.15  % (1113736)Time elapsed: 1.625 s
% 0.17/3.15  % (1113736)Peak memory usage: 136 MB
% 0.17/3.15  % (1113736)Instructions burned: 2170 (million)
% 0.17/3.15  % (1113736)------------------------------
% 0.17/3.15  % (1113736)------------------------------
% 0.17/3.15  % (1113661)Success in time 2.235 s
% 0.17/3.15  % Vampire exiting
%------------------------------------------------------------------------------