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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LCL370+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 : n015.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 11:52:07 AM UTC 2026

% Result   : Theorem 10.51s 2.33s
% Output   : Refutation 11.00s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   83 (  36 unt;   0 def)
%            Number of atoms       :  149 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  133 (  67   ~;  64   |;   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    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  256 ( 256   !;   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(implies(x,y),z),implies(implies(z,x),x))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_26) ).

fof(f6,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x))),
    inference(negated_conjecture,[status(cth)],[f5]) ).

fof(f7,plain,
    ~ is_a_theorem(implies(implies(implies(x,y),z),implies(implies(z,x),x))),
    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(implies(x,y),z),implies(implies(z,x),x))),
    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,
    ! [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(f24,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(f25,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,implies(X0,X2)))),
    inference(resolution,[],[f18,f19]) ).

fof(f27,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(not(X0),X0),X1))),
    inference(resolution,[],[f12,f15]) ).

fof(f30,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(not(X0),X0),X1),X2),implies(implies(X0,X1),X2))),
    inference(resolution,[],[f27,f15]) ).

fof(f31,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(not(X0),X0),X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f27,f10]) ).

fof(f32,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(implies(X1,X2),implies(X0,X2)))),
    inference(resolution,[],[f30,f18]) ).

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,[],[f32,f10]) ).

fof(f40,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,[],[f23,f10]) ).

fof(f43,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,[],[f40,f10]) ).

fof(f44,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,[],[f43,f11]) ).

fof(f52,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,[],[f43,f13]) ).

fof(f54,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,X1))),
    inference(resolution,[],[f52,f27]) ).

fof(f71,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,[],[f24,f10]) ).

fof(f90,plain,
    ! [X2,X3,X0,X1,X4] :
      ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X4),implies(implies(implies(X0,X2),X3),X4)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f71,f15]) ).

fof(f91,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(implies(X1,X2),X3))
      | ~ is_a_theorem(implies(implies(X0,X2),X3)) ),
    inference(resolution,[],[f71,f10]) ).

fof(f158,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(not(X0),X0))
      | is_a_theorem(X1)
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f31,f10]) ).

fof(f161,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(not(X0),X2)))),
    inference(resolution,[],[f25,f22]) ).

fof(f299,plain,
    ! [X2,X3,X0,X1,X4] :
      ( is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(implies(X3,X0),X4)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f90,f44]) ).

fof(f303,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(implies(X1,X2),X3),X4))
      | is_a_theorem(implies(implies(implies(X0,X2),X3),X4))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f90,f10]) ).

fof(f321,plain,
    ! [X2,X3,X0,X1,X4] :
      ( is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X3),implies(implies(X4,X1),X3))))
      | ~ is_a_theorem(implies(X0,X4)) ),
    inference(resolution,[],[f303,f11]) ).

fof(f339,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(implies(X1,X4),implies(X2,X4)),X3))
      | is_a_theorem(implies(implies(X2,X0),X3))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f299,f10]) ).

fof(f386,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(X0,X4),X2))
      | is_a_theorem(implies(implies(X2,X3),implies(implies(X1,X4),X3)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f321,f10]) ).

fof(f396,plain,
    ! [X2,X3,X0,X1,X4] :
      ( is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X4,X0),X3)))
      | ~ is_a_theorem(implies(X2,X4)) ),
    inference(resolution,[],[f386,f11]) ).

fof(f448,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X0,X4)),X3))
      | is_a_theorem(implies(implies(X1,X2),X3))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f396,f10]) ).

fof(f452,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,[],[f448,f54]) ).

fof(f544,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,[],[f452,f10]) ).

fof(f555,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,[],[f544,f11]) ).

fof(f598,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,[],[f555,f10]) ).

fof(f611,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,[],[f598,f30]) ).

fof(f656,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
    inference(resolution,[],[f611,f161]) ).

fof(f675,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X3,implies(X2,X1))))),
    inference(resolution,[],[f656,f44]) ).

fof(f774,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
      | ~ is_a_theorem(implies(X1,X3)) ),
    inference(resolution,[],[f675,f10]) ).

fof(f796,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X3,X0))
      | is_a_theorem(implies(X2,implies(X3,X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f774,f10]) ).

fof(f835,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(not(X1),X3),X2))
      | is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f796,f13]) ).

fof(f840,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X1))),
    inference(resolution,[],[f835,f12]) ).

fof(f883,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,[],[f840,f43]) ).

fof(f884,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
    inference(resolution,[],[f840,f15]) ).

fof(f886,plain,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(implies(X1,X1),X0))
      | is_a_theorem(X0) ),
    inference(resolution,[],[f840,f158]) ).

fof(f925,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X2,X2),X0),X1))),
    inference(resolution,[],[f884,f37]) ).

fof(f964,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X2,implies(X0,X1)))),
    inference(resolution,[],[f883,f32]) ).

fof(f992,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
    inference(resolution,[],[f883,f656]) ).

fof(f1042,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
    inference(resolution,[],[f992,f37]) ).

fof(f1055,plain,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X2)))),
    inference(resolution,[],[f1042,f18]) ).

fof(f1072,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X2,X0),X1))
      | is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f1042,f10]) ).

fof(f1094,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | is_a_theorem(implies(X0,implies(X1,X0))) ),
    inference(resolution,[],[f1055,f10]) ).

fof(f1166,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
    inference(resolution,[],[f1094,f656]) ).

fof(f1187,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X1) ),
    inference(resolution,[],[f1166,f10]) ).

fof(f1493,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
    inference(resolution,[],[f925,f886]) ).

fof(f1514,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(X3,X3),X2))
      | is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X1))) ),
    inference(resolution,[],[f1493,f386]) ).

fof(f2456,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X1,X2),implies(implies(X0,X1),X2)))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f1187,f1514]) ).

fof(f3412,plain,
    ! [X0,X1] :
      ( is_a_theorem(implies(implies(X0,X1),X1))
      | ~ is_a_theorem(X0) ),
    inference(resolution,[],[f2456,f886]) ).

fof(f3436,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(implies(X2,X0),implies(X3,X1)))
      | ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(implies(X3,X2)) ),
    inference(resolution,[],[f3412,f448]) ).

fof(f3437,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X3,X0))
      | is_a_theorem(implies(implies(X2,X3),implies(X2,X1)))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f3412,f339]) ).

fof(f3532,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X3,X0))
      | ~ is_a_theorem(implies(X2,X3))
      | is_a_theorem(implies(X2,X1))
      | ~ is_a_theorem(implies(X0,X1)) ),
    inference(resolution,[],[f3436,f10]) ).

fof(f3551,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(not(X1),X1)))
      | is_a_theorem(implies(X0,X2))
      | ~ is_a_theorem(implies(X1,X2)) ),
    inference(resolution,[],[f3532,f12]) ).

fof(f3686,plain,
    ! [X2,X0,X1] :
      ( is_a_theorem(implies(implies(X0,implies(not(X1),X1)),X2))
      | ~ is_a_theorem(implies(implies(X0,X1),X2)) ),
    inference(resolution,[],[f3551,f964]) ).

fof(f3730,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ is_a_theorem(implies(implies(implies(X2,X4),implies(X1,X4)),X3))
      | is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X3))) ),
    inference(resolution,[],[f3437,f11]) ).

fof(f5179,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(implies(X0,X1),X1),X2))
      | is_a_theorem(implies(implies(X3,implies(not(X1),X0)),implies(X3,X2))) ),
    inference(resolution,[],[f3686,f3730]) ).

fof(f5223,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X1)),implies(X0,X1))),
    inference(resolution,[],[f5179,f1493]) ).

fof(f5321,plain,
    ! [X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(implies(X1,X0),X0))),
    inference(resolution,[],[f5223,f18]) ).

fof(f5380,plain,
    ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
    inference(resolution,[],[f5321,f1072]) ).

fof(f5463,plain,
    ! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
    inference(resolution,[],[f5380,f52]) ).

fof(f5550,plain,
    $false,
    inference(unit_resulting_resolution,[],[f91,f5321,f14,f5463]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL370+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n015.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 15:40:16 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.51/2.33  % (1801116)Detected formulas, will run a generic FOF schedule.
% 10.51/2.33  % (1801122)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=2646083754:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.51/2.33  % (1801121)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=1625585900:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.51/2.33  % (1801124)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3916909165:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.51/2.33  % (1801125)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1766143218:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.51/2.33  % (1801126)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2629648327:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.51/2.33  % (1801127)dis-21_1_sil=8000:lcm=predicate:random_seed=204923256: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)
% 10.51/2.33  % (1801123)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=3778982997:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.51/2.33  % (1801124)Refutation not found, incomplete strategy
% 10.51/2.33  % (1801124)------------------------------
% 10.51/2.33  % (1801124)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801124)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801124)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801124)Termination reason: Refutation not found, incomplete strategy
% 10.51/2.33  % (1801124)Time elapsed: 0.001 s
% 10.51/2.33  % (1801124)Peak memory usage: 87 MB
% 10.51/2.33  % (1801125)Instruction limit reached! 
% 10.51/2.33  % (1801125)------------------------------
% 10.51/2.33  % (1801125)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801125)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801125)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801125)Termination reason: Instruction limit
% 10.51/2.33  % (1801125)Termination phase: Saturation
% 10.51/2.33  % (1801125)Time elapsed: 0.067 s
% 10.51/2.33  % (1801125)Peak memory usage: 87 MB
% 10.51/2.33  % (1801125)Instructions burned: 120 (million)
% 10.51/2.33  % (1801127)Instruction limit reached! 
% 10.51/2.33  % (1801127)------------------------------
% 10.51/2.33  % (1801127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801127)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801127)Termination reason: Instruction limit
% 10.51/2.33  % (1801127)Termination phase: Saturation
% 10.51/2.33  % (1801127)Time elapsed: 0.082 s
% 10.51/2.33  % (1801127)Peak memory usage: 88 MB
% 10.51/2.33  % (1801127)Instructions burned: 130 (million)
% 10.51/2.33  % (1801126)Instruction limit reached! 
% 10.51/2.33  % (1801126)------------------------------
% 10.51/2.33  % (1801126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801126)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801126)Termination reason: Instruction limit
% 10.51/2.33  % (1801126)Termination phase: Saturation
% 10.51/2.33  % (1801126)Time elapsed: 0.094 s
% 10.51/2.33  % (1801126)Peak memory usage: 89 MB
% 10.51/2.33  % (1801126)Instructions burned: 140 (million)
% 10.51/2.33  % (1801135)lrs+10_1_sil=8000:sp=occurrence:random_seed=3134837767:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 10.51/2.33  % (1801124)------------------------------
% 10.51/2.33  % (1801124)------------------------------
% 10.51/2.33  % (1801136)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3513238804:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.51/2.33  % (1801137)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2938900845:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.51/2.33  % (1801136)Instruction limit reached! 
% 10.51/2.33  % (1801136)------------------------------
% 10.51/2.33  % (1801136)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801136)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801136)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801136)Termination reason: Instruction limit
% 10.51/2.33  % (1801136)Termination phase: Saturation
% 10.51/2.33  % (1801136)Time elapsed: 0.091 s
% 10.51/2.33  % (1801136)Peak memory usage: 89 MB
% 10.51/2.33  % (1801136)Instructions burned: 158 (million)
% 10.51/2.33  % (1801135)Instruction limit reached! 
% 10.51/2.33  % (1801135)------------------------------
% 10.51/2.33  % (1801135)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801135)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801135)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801135)Termination reason: Instruction limit
% 10.51/2.33  % (1801135)Termination phase: Saturation
% 10.51/2.33  % (1801135)Time elapsed: 0.177 s
% 10.51/2.33  % (1801135)Peak memory usage: 90 MB
% 10.51/2.33  % (1801135)Instructions burned: 285 (million)
% 10.51/2.33  % (1801140)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=2622476894:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 10.51/2.33  % (1801137)Instruction limit reached! 
% 10.51/2.33  % (1801137)------------------------------
% 10.51/2.33  % (1801137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801137)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801137)Termination reason: Instruction limit
% 10.51/2.33  % (1801137)Termination phase: Saturation
% 10.51/2.33  % (1801137)Time elapsed: 0.217 s
% 10.51/2.33  % (1801137)Peak memory usage: 93 MB
% 10.51/2.33  % (1801137)Instructions burned: 326 (million)
% 10.51/2.33  % (1801142)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2536607690:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 10.51/2.33  % (1801142)Refutation not found, incomplete strategy
% 10.51/2.33  % (1801142)------------------------------
% 10.51/2.33  % (1801142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801142)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801142)Termination reason: Refutation not found, incomplete strategy
% 10.51/2.33  % (1801142)Time elapsed: 0.001 s
% 10.51/2.33  % (1801142)Peak memory usage: 87 MB
% 10.51/2.33  % (1801140)Instruction limit reached! 
% 10.51/2.33  % (1801140)------------------------------
% 10.51/2.33  % (1801140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801140)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801140)Termination reason: Instruction limit
% 10.51/2.33  % (1801140)Termination phase: Saturation
% 10.51/2.33  % (1801140)Time elapsed: 0.141 s
% 10.51/2.33  % (1801140)Peak memory usage: 89 MB
% 10.51/2.33  % (1801140)Instructions burned: 249 (million)
% 10.51/2.33  % (1801144)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3447917901:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.51/2.33  % (1801145)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2503034866:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 10.51/2.33  % (1801148)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2988496348:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 10.51/2.33  % (1801145)Instruction limit reached! 
% 10.51/2.33  % (1801145)------------------------------
% 10.51/2.33  % (1801145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801145)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801145)Termination reason: Instruction limit
% 10.51/2.33  % (1801145)Termination phase: Saturation
% 10.51/2.33  % (1801145)Time elapsed: 0.070 s
% 10.51/2.33  % (1801145)Peak memory usage: 89 MB
% 10.51/2.33  % (1801145)Instructions burned: 114 (million)
% 10.51/2.33  % (1801142)------------------------------
% 10.51/2.33  % (1801142)------------------------------
% 10.51/2.33  % (1801148)Instruction limit reached! 
% 10.51/2.33  % (1801148)------------------------------
% 10.51/2.33  % (1801148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801148)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801148)Termination reason: Instruction limit
% 10.51/2.33  % (1801148)Termination phase: Saturation
% 10.51/2.33  % (1801148)Time elapsed: 0.074 s
% 10.51/2.33  % (1801148)Peak memory usage: 88 MB
% 10.51/2.33  % (1801148)Instructions burned: 128 (million)
% 10.51/2.33  % (1801151)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3457957977:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 10.51/2.33  % (1801152)lrs+10_1_sil=8000:sp=occurrence:random_seed=2951706207:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 10.51/2.33  % (1801153)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3723988978:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 10.51/2.33  % (1801153)Refutation not found, incomplete strategy
% 10.51/2.33  % (1801153)------------------------------
% 10.51/2.33  % (1801153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801153)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801153)Termination reason: Refutation not found, incomplete strategy
% 10.51/2.33  % (1801153)Time elapsed: 0.001 s
% 10.51/2.33  % (1801153)Peak memory usage: 88 MB
% 10.51/2.33  % (1801151)Instruction limit reached! 
% 10.51/2.33  % (1801151)------------------------------
% 10.51/2.33  % (1801151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.51/2.33  % (1801151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.51/2.33  % (1801151)CaDiCaL version: 2.1.3
% 10.51/2.33  % (1801151)Termination reason: Instruction limit
% 10.51/2.33  % (1801151)Termination phase: Saturation
% 10.51/2.33  % (1801151)Time elapsed: 0.078 s
% 10.51/2.33  % (1801151)Peak memory usage: 89 MB
% 10.51/2.33  % (1801151)Instructions burned: 115 (million)
% 10.51/2.33  % (1801157)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1750494763:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 10.51/2.33  % (1801122)First to succeed.
% 10.51/2.33  % (1801122)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1801116"
% 10.51/2.33  % (1801153)------------------------------
% 10.51/2.33  % (1801153)------------------------------
% 10.51/2.33  % (1801122)Refutation found. Thanks to Tanya!
% 10.51/2.33  % SZS status Theorem for theBenchmark
% 10.51/2.33  % SZS output start Proof for theBenchmark
% See solution above
% 11.00/2.52  % (1801122)------------------------------
% 11.00/2.52  % (1801122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.00/2.52  % (1801122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.00/2.52  % (1801122)CaDiCaL version: 2.1.3
% 11.00/2.52  % (1801122)Termination reason: Refutation
% 11.00/2.52  % (1801122)Time elapsed: 1.172 s
% 11.00/2.52  % (1801122)Peak memory usage: 145 MB
% 11.00/2.52  % (1801122)Instructions burned: 3570 (million)
% 11.00/2.52  % (1801122)------------------------------
% 11.00/2.52  % (1801122)------------------------------
% 11.00/2.52  % (1801116)Success in time 1.466 s
% 11.00/2.52  % Vampire exiting
%------------------------------------------------------------------------------