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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL358-1 : TPTP v9.3.1. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n016.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 0.32s 0.61s
% Output   : Refutation 0.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   5 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   21 (  12   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ~ is_a_theorem(implies(X0,X1))
      | ~ is_a_theorem(X0)
      | is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',cn_1) ).

fof(f5,negated_conjecture,
    ~ is_a_theorem(implies(implies(x,implies(implies(y,z),u)),implies(implies(y,v),implies(x,implies(implies(v,z),u))))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_cn_07) ).

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

fof(f18,plain,
    ! [X2,X0,X1] :
      ( ~ is_a_theorem(implies(X1,X2))
      | ~ is_a_theorem(implies(X0,X1))
      | is_a_theorem(implies(X0,X2)) ),
    inference(resolution,[],[f8,f1]) ).

fof(f20,plain,
    ! [X2,X3,X0,X1] :
      ( is_a_theorem(implies(X0,implies(implies(X2,X3),implies(X1,X3))))
      | ~ is_a_theorem(implies(X0,implies(X1,X2))) ),
    inference(resolution,[],[f18,f2]) ).

fof(f21,plain,
    ! [X2,X3,X0,X1] :
      ( ~ is_a_theorem(implies(X0,implies(X1,X2)))
      | is_a_theorem(implies(X0,implies(X3,X2)))
      | ~ is_a_theorem(implies(X3,X1)) ),
    inference(resolution,[],[f18,f8]) ).

fof(f54,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,[],[f21,f2]) ).

fof(f165,plain,
    ~ is_a_theorem(implies(implies(y,v),implies(implies(implies(y,z),u),implies(implies(v,z),u)))),
    inference(resolution,[],[f54,f5]) ).

fof(f239,plain,
    ~ is_a_theorem(implies(implies(y,v),implies(implies(v,z),implies(y,z)))),
    inference(resolution,[],[f165,f20]) ).

fof(f242,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f239,f2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : LCL358-1 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.09  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.21/0.48  % Computer : n016.cluster.edu
% 0.21/0.48  % Model    : x86_64 x86_64
% 0.21/0.48  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.48  % Memory   : 8046.5625MB
% 0.21/0.48  % OS       : Linux 6.8.0-71-generic
% 0.21/0.48  % CPULimit : 300
% 0.21/0.48  % WCLimit  : 300
% 0.21/0.48  % DateTime : Sun Sep 27 15:41:17 UTC 2026
% 0.21/0.48  % CPUTime  : 
% 0.21/0.49  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.53  Running first-order model finding
% 0.26/0.53  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.32/0.61  % (2797516)Will run a generic schedule for satisfiability detection.
% 0.32/0.61  % (2797526)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3845993074:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.32/0.61  % (2797522)% WARNING: option uhcvi not known.
% 0.32/0.61  % (2797525)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2925955276:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.32/0.61  % (2797522)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=213015895:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.32/0.61  % (2797527)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=376992889:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.32/0.61  % (2797521)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1202060376_2999 on theBenchmark for (2999ds/0Mi)
% 0.32/0.61  % (2797523)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3603811830:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.32/0.61  % (2797524)dis+10_1_sil=32000:sp=arity:random_seed=3408363696:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.32/0.61  % TRYING [1]
% 0.32/0.61  % TRYING [2]
% 0.32/0.61  % TRYING [3]
% 0.32/0.61  % (2797524) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2797516-2797524"...
% 0.32/0.61  % (2797524)...printing done.
% 0.32/0.61  % (2797524)Refutation found. Thanks to Tanya!
% 0.32/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.32/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.32/0.61  % (2797524)------------------------------
% 0.32/0.61  % (2797524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.61  % (2797524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.61  % (2797524)CaDiCaL version: 2.1.3
% 0.32/0.61  % (2797524)Termination reason: Refutation
% 0.32/0.61  % (2797524)Time elapsed: 0.011 s
% 0.32/0.61  % (2797524)Peak memory usage: 11 MB
% 0.32/0.61  % (2797524)Instructions burned: 8 (million)
% 0.32/0.61  % (2797516)Success in time 0.067 s
% 0.32/0.61  % Vampire exiting
%------------------------------------------------------------------------------