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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV138+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 01:20:18 PM UTC 2026

% Result   : Theorem 0.34s 0.27s
% Output   : Refutation 0.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   19 (   7 unt;   0 def)
%            Number of atoms       :   67 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :   61 (  13   ~;   9   |;  35   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ( leq(X0,X1)
        & leq(X1,X2) )
     => leq(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',transitivity_leq) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( gt(X1,X0)
     => leq(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV003+0.ax',leq_gt1) ).

fof(f53,conjecture,
    ( ( leq(n0,s_best7)
      & leq(n0,s_sworst7)
      & leq(n0,s_worst7)
      & leq(n2,pv1325)
      & leq(s_best7,n3)
      & leq(s_sworst7,n3)
      & leq(s_worst7,n3)
      & leq(pv1325,n3)
      & gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) )
   => leq(n0,pv1325) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gauss_array_0008) ).

fof(f54,negated_conjecture,
    ~ ( ( leq(n0,s_best7)
        & leq(n0,s_sworst7)
        & leq(n0,s_worst7)
        & leq(n2,pv1325)
        & leq(s_best7,n3)
        & leq(s_sworst7,n3)
        & leq(s_worst7,n3)
        & leq(pv1325,n3)
        & gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) )
     => leq(n0,pv1325) ),
    inference(negated_conjecture,[status(cth)],[f53]) ).

fof(f65,axiom,
    gt(n2,n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gt_2_0) ).

fof(f98,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ leq(X1,X2) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f99,plain,
    ! [X0,X1,X2] :
      ( leq(X0,X2)
      | ~ leq(X0,X1)
      | ~ leq(X1,X2) ),
    inference(flattening,[],[f98]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( leq(X0,X1)
      | ~ gt(X1,X0) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f136,plain,
    ( ~ leq(n0,pv1325)
    & leq(n0,s_best7)
    & leq(n0,s_sworst7)
    & leq(n0,s_worst7)
    & leq(n2,pv1325)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv1325,n3)
    & gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f137,plain,
    ( ~ leq(n0,pv1325)
    & leq(n0,s_best7)
    & leq(n0,s_sworst7)
    & leq(n0,s_worst7)
    & leq(n2,pv1325)
    & leq(s_best7,n3)
    & leq(s_sworst7,n3)
    & leq(s_worst7,n3)
    & leq(pv1325,n3)
    & gt(a_select2(s_values7,pv1325),a_select2(s_values7,s_best7)) ),
    inference(flattening,[],[f136]) ).

fof(f194,plain,
    ! [X2,X0,X1] :
      ( ~ leq(X1,X2)
      | ~ leq(X0,X1)
      | leq(X0,X2) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f195,plain,
    ! [X0,X1] :
      ( ~ gt(X1,X0)
      | leq(X0,X1) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f305,plain,
    leq(n2,pv1325),
    inference(cnf_transformation,[],[f137]) ).

fof(f309,plain,
    ~ leq(n0,pv1325),
    inference(cnf_transformation,[],[f137]) ).

fof(f320,plain,
    gt(n2,n0),
    inference(cnf_transformation,[],[f65]) ).

fof(f379,plain,
    leq(n0,n2),
    inference(resolution,[],[f195,f320]) ).

fof(f581,plain,
    ! [X0] :
      ( ~ leq(X0,n2)
      | leq(X0,pv1325) ),
    inference(resolution,[],[f194,f305]) ).

fof(f1190,plain,
    leq(n0,pv1325),
    inference(resolution,[],[f581,f379]) ).

fof(f1205,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1190,f309]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV138+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n010.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 10:00:02 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20  Running first-order model finding
% 0.09/0.20  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
% 0.34/0.27  % (1822180)Will run a generic schedule for satisfiability detection.
% 0.34/0.27  % (1822187)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1617187449:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.34/0.27  % (1822186)% WARNING: option uhcvi not known.
% 0.34/0.27  % (1822185)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2729944679_2999 on theBenchmark for (2999ds/0Mi)
% 0.34/0.27  % (1822186)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2896184485:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.34/0.27  % (1822188)dis+10_1_sil=32000:sp=arity:random_seed=1436029046:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.34/0.27  % (1822189)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3221666194:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.34/0.27  % (1822191)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=42439623:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.34/0.27  % (1822190)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1420080471:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.34/0.27  % (1822188) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1822180-1822188"...
% 0.34/0.27  % (1822191) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1822180-1822191"...
% 0.34/0.27  % (1822188)...printing done.
% 0.34/0.27  % (1822191)...printing done.
% 0.34/0.27  % (1822188)Refutation found. Thanks to Tanya!
% 0.34/0.27  % SZS status Theorem for theBenchmark
% 0.34/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.27  % (1822188)------------------------------
% 0.34/0.27  % (1822188)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.27  % (1822188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.27  % (1822188)CaDiCaL version: 2.1.3
% 0.34/0.27  % (1822188)Termination reason: Refutation
% 0.34/0.27  % (1822188)Time elapsed: 0.022 s
% 0.34/0.27  % (1822188)Peak memory usage: 12 MB
% 0.34/0.27  % (1822188)Instructions burned: 33 (million)
% 0.34/0.27  % (1822180)Success in time 0.061 s
% 0.34/0.27  % Vampire exiting
%------------------------------------------------------------------------------