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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW421-1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n005.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 01:39:59 PM UTC 2026

% Result   : Unsatisfiable 0.10s 0.27s
% Output   : Refutation 0.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   10 (   7 unt;   0 def)
%            Number of atoms       :   15 (   6 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   10 (   5   ~;   5   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   11 (  11   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] : sep(X0,sep(X1,X2)) = sep(X1,sep(X0,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',associative_commutative) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ heap(sep(next(X0,X1),sep(lseg(X1,X2),X3)))
      | X0 = X1
      | heap(sep(lseg(X0,X2),X3)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV013-0.ax',unfolding_2) ).

fof(f14,axiom,
    x2 != x1,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).

fof(f15,plain,
    x1 != x2,
    inference(reorient_equations,[],[f14]) ).

fof(f17,axiom,
    heap(sep(lseg(x2,x3),sep(next(x1,x2),emp))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_4) ).

fof(f18,negated_conjecture,
    ~ heap(sep(lseg(x1,x3),emp)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_1) ).

fof(f67,plain,
    ! [X2,X3,X0,X1] :
      ( ~ heap(sep(lseg(X0,X1),sep(next(X2,X0),X3)))
      | X0 = X2
      | heap(sep(lseg(X2,X1),X3)) ),
    inference(superposition,[],[f9,f1]) ).

fof(f183,plain,
    ( x1 = x2
    | heap(sep(lseg(x1,x3),emp)) ),
    inference(resolution,[],[f67,f17]) ).

fof(f189,plain,
    heap(sep(lseg(x1,x3),emp)),
    inference(forward_subsumption_resolution,[],[f183,f15]) ).

fof(f190,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f189,f18]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW421-1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.19  % Computer : n005.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Mon Sep 28 13:52:28 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23  Running first-order model finding
% 0.10/0.23  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
% 0.10/0.27  % (792427)Will run a generic schedule for satisfiability detection.
% 0.10/0.27  % (792435)dis+10_1_sil=32000:sp=arity:random_seed=766872282:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.27  % (792435) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-792427-792435"...
% 0.10/0.27  % (792433)% WARNING: option uhcvi not known.
% 0.10/0.27  % (792435)...printing done.
% 0.10/0.27  % (792432)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=118035395_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.27  % (792438)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=568376964:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.27  % (792434)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=404042339:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.27  % (792436)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3806935613:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.27  % (792437)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1128572490:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.27  % (792433)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3938335733:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.27  % (792435)Refutation found. Thanks to Tanya!
% 0.10/0.27  % SZS status Unsatisfiable for theBenchmark
% 0.10/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.27  % (792435)------------------------------
% 0.10/0.27  % (792435)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.27  % (792435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.27  % (792435)CaDiCaL version: 2.1.3
% 0.10/0.27  % (792435)Termination reason: Refutation
% 0.10/0.27  % (792435)Time elapsed: 0.005 s
% 0.10/0.27  % (792435)Peak memory usage: 11 MB
% 0.10/0.27  % (792435)Instructions burned: 12 (million)
% 0.10/0.27  % (792427)Success in time 0.032 s
% 0.10/0.27  % Vampire exiting
%------------------------------------------------------------------------------