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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN573-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n018.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 02:17:38 PM UTC 2026

% Result   : Unsatisfiable 0.06s 0.25s
% Output   : Refutation 0.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   31 (  16   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-2 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    p12(c15),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',c15_is_p12_1) ).

fof(f3,negated_conjecture,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_3) ).

fof(f13,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ p2(X2,X1)
      | ~ p2(X2,X0)
      | p2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_13) ).

fof(f14,negated_conjecture,
    ! [X0] :
      ( p2(X0,f9(c17))
      | p11(X0,c16)
      | ~ p12(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_14) ).

fof(f16,negated_conjecture,
    ! [X0,X1] : p11(X0,f3(f8(X1),f3(f8(X0),f5(f6(f7(c14)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_16) ).

fof(f17,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ p11(X2,X3)
      | ~ p2(X2,X0)
      | ~ p2(X3,X1)
      | p11(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_17) ).

fof(f19,negated_conjecture,
    ~ p11(c15,f3(f8(c16),f3(f8(f9(c17)),f5(f6(f7(c14)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_19) ).

fof(f21,negated_conjecture,
    ! [X2,X0,X1] :
      ( p11(X0,f3(f8(X1),f3(f8(X2),f5(f6(f7(c14))))))
      | ~ p11(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_21) ).

fof(f89,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(X1,X0) ),
    inference(resolution,[],[f13,f3]) ).

fof(f286,plain,
    ! [X2,X3,X0,X1] :
      ( ~ p2(f3(f8(X2),f3(f8(X0),f5(f6(f7(c14))))),X3)
      | ~ p2(X0,X1)
      | p11(X1,X3) ),
    inference(resolution,[],[f17,f16]) ).

fof(f1802,plain,
    ~ p11(c15,c16),
    inference(resolution,[],[f21,f19]) ).

fof(f1815,plain,
    ! [X2,X0,X1] :
      ( p11(X1,f3(f8(X2),f3(f8(X0),f5(f6(f7(c14))))))
      | ~ p2(X0,X1) ),
    inference(resolution,[],[f286,f3]) ).

fof(f1868,plain,
    ~ p2(f9(c17),c15),
    inference(resolution,[],[f1815,f19]) ).

fof(f1918,plain,
    ! [X0] :
      ( p2(f9(c17),X0)
      | ~ p12(X0)
      | p11(X0,c16) ),
    inference(resolution,[],[f14,f89]) ).

fof(f1940,plain,
    ( ~ p12(c15)
    | p11(c15,c16) ),
    inference(resolution,[],[f1918,f1868]) ).

fof(f1941,plain,
    p11(c15,c16),
    inference(forward_subsumption_resolution,[],[f1940,f1]) ).

fof(f1942,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1941,f1802]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN573-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.17  % Computer : n018.cluster.edu
% 0.06/0.17  % Model    : x86_64 x86_64
% 0.06/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.17  % Memory   : 8046.5625MB
% 0.06/0.17  % OS       : Linux 6.8.0-71-generic
% 0.06/0.18  % CPULimit : 300
% 0.06/0.18  % WCLimit  : 300
% 0.06/0.18  % DateTime : Mon Sep 28 16:31:55 UTC 2026
% 0.06/0.18  % CPUTime  : 
% 0.06/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.06/0.20  Running first-order model finding
% 0.06/0.20  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
% 0.06/0.25  % (3524586)Will run a generic schedule for satisfiability detection.
% 0.06/0.25  % (3524593)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1504838729:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.25  % (3524592)% WARNING: option uhcvi not known.
% 0.06/0.25  % (3524591)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1529546079_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.25  % (3524594)dis+10_1_sil=32000:sp=arity:random_seed=3347665306:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.25  % (3524596)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2241569724:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.25  % (3524595)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1335732707:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.25  % (3524597)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=152474587:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.25  % (3524592)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2666738603:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.25  % TRYING [1]
% 0.06/0.25  % TRYING [2]
% 0.06/0.25  % TRYING [3]
% 0.06/0.25  % (3524593) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3524586-3524593"...
% 0.06/0.25  % (3524593)...printing done.
% 0.06/0.25  % (3524593)Refutation found. Thanks to Tanya!
% 0.06/0.25  % SZS status Unsatisfiable for theBenchmark
% 0.06/0.25  % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.26  % (3524593)------------------------------
% 0.06/0.26  % (3524593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.26  % (3524593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.26  % (3524593)CaDiCaL version: 2.1.3
% 0.06/0.26  % (3524593)Termination reason: Refutation
% 0.06/0.26  % (3524593)Time elapsed: 0.017 s
% 0.06/0.26  % (3524593)Peak memory usage: 12 MB
% 0.06/0.26  % (3524593)Instructions burned: 45 (million)
% 0.06/0.26  % (3524586)Success in time 0.045 s
% 0.06/0.26  % Vampire exiting
%------------------------------------------------------------------------------