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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL359-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n002.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 11:58:25 AM UTC 2026

% Result   : Unsatisfiable 0.17s 0.52s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :    9 (   5   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   5 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   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,
    ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_1) ).

fof(f5,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,y),implies(implies(z,x),implies(implies(y,u),implies(z,u))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_08) ).

fof(f8,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(implies(X1,X2),implies(X0,X2))) ),
    inference(resolution,[],[f2,f1]) ).

fof(f13,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,[],[f8,f2]) ).

fof(f64,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(implies(implies(X0,X1),implies(X2,X1)),X3))
      | is_a_theorem(implies(implies(X2,X0),X3)) ),
    inference(resolution,[],[f13,f1]) ).

fof(f200,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,[],[f64,f13]) ).

fof(f623,plain,
    ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(implies(X1,X3),implies(X2,X3))))),
    inference(resolution,[],[f200,f64]) ).

fof(f4572,plain,
    $false,
    inference(resolution,[],[f623,f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL359-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40  % Computer : n002.cluster.edu
% 0.11/0.40  % Model    : x86_64 x86_64
% 0.11/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40  % Memory   : 8046.5625MB
% 0.11/0.40  % OS       : Linux 6.8.0-71-generic
% 0.11/0.40  % CPULimit : 300
% 0.11/0.40  % WCLimit  : 300
% 0.11/0.40  % DateTime : Sun Sep 27 15:39:06 UTC 2026
% 0.11/0.40  % CPUTime  : 
% 0.11/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44  Running first-order model finding
% 0.11/0.44  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.52  % (3690696)Will run a generic schedule for satisfiability detection.
% 0.17/0.52  % (3690712)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2769453527:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.52  % (3690708)% WARNING: option uhcvi not known.
% 0.17/0.52  % (3690707)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3193146397_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.52  % (3690710)dis+10_1_sil=32000:sp=arity:random_seed=2372584635:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.52  % (3690708)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1613044296:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.52  % (3690711)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3637233679:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.52  % (3690709)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=390484240:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.52  % (3690713)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1406441141:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.52  % TRYING [1]
% 0.17/0.52  % TRYING [2]
% 0.17/0.52  % TRYING [3]
% 0.17/0.52  % TRYING [4]
% 0.17/0.52  % (3690712) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3690696-3690712"...
% 0.17/0.52  % (3690712)...printing done.
% 0.17/0.52  % (3690712)Refutation found. Thanks to Tanya!
% 0.17/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.17/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52  % (3690712)------------------------------
% 0.17/0.52  % (3690712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.52  % (3690712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.52  % (3690712)CaDiCaL version: 2.1.3
% 0.17/0.52  % (3690712)Termination reason: Refutation
% 0.17/0.52  % (3690712)Time elapsed: 0.046 s
% 0.17/0.52  % (3690712)Peak memory usage: 13 MB
% 0.17/0.52  % (3690712)Instructions burned: 132 (million)
% 0.17/0.52  % (3690696)Success in time 0.079 s
% 0.17/0.52  % Vampire exiting
%------------------------------------------------------------------------------