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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW204+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/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 01:39:37 PM UTC 2026

% Result   : Theorem 0.63s 0.43s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   41 (  21 unt;   0 def)
%            Number of atoms       :   65 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  19   ~;  18   |;   0   &)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-2 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4,axiom,
    ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_assms) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__linear) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
     => ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
       => X1 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__antisym) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( class_RealVector_Oreal__normed__vector(X1)
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X1,X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_norm__ge__zero) ).

fof(f35,axiom,
    ! [X0] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
    <=> X0 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_le__0__eq) ).

fof(f59,axiom,
    c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__of__nat__zero) ).

fof(f129,axiom,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
     => hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__mono) ).

fof(f130,axiom,
    ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__natceiling__ge) ).

fof(f134,axiom,
    ! [X0] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
     => c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_natceiling__neg) ).

fof(f1177,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) ).

fof(f1264,conjecture,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f1265,negated_conjecture,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    inference(negated_conjecture,[status(cth)],[f1264]) ).

fof(f1272,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    inference(flattening,[],[f1265]) ).

fof(f1280,plain,
    ! [X0,X1] :
      ( X1 = X0
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f1281,plain,
    ! [X0,X1] :
      ( X1 = X0
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
    inference(flattening,[],[f1280]) ).

fof(f1313,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X1,X0)))
      | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f1403,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X0)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
    inference(ennf_transformation,[],[f129]) ).

fof(f1407,plain,
    ! [X0] :
      ( c_RComplete_Onatceiling(X0) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
    inference(ennf_transformation,[],[f134]) ).

fof(f2323,plain,
    ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),v_r)),
    inference(cnf_transformation,[],[f4]) ).

fof(f2327,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
    inference(cnf_transformation,[],[f8]) ).

fof(f2329,plain,
    ! [X0,X1] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),X1))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0))
      | X0 = X1 ),
    inference(cnf_transformation,[],[f1281]) ).

fof(f2353,plain,
    ! [X0,X1] :
      ( ~ class_RealVector_Oreal__normed__vector(X1)
      | hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(X1,X0))) ),
    inference(cnf_transformation,[],[f1313]) ).

fof(f2361,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X0),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
      | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = X0 ),
    inference(cnf_transformation,[],[f35]) ).

fof(f2390,plain,
    c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),
    inference(cnf_transformation,[],[f59]) ).

fof(f2494,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X1)),c_RComplete_Onatceiling(X0)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X0)) ),
    inference(cnf_transformation,[],[f1403]) ).

fof(f2495,plain,
    ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_RealDef_Oreal(tc_Nat_Onat,c_RComplete_Onatceiling(X0)))),
    inference(cnf_transformation,[],[f130]) ).

fof(f2499,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
      | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(X0) ),
    inference(cnf_transformation,[],[f1407]) ).

fof(f3909,plain,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(cnf_transformation,[],[f1177]) ).

fof(f3996,plain,
    ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    inference(cnf_transformation,[],[f1272]) ).

fof(f4927,plain,
    ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,X0))),
    inference(resolution,[],[f2353,f3909]) ).

fof(f5098,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(resolution,[],[f2327,f3996]) ).

fof(f5122,plain,
    c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(v_r),
    inference(resolution,[],[f2499,f5098]) ).

fof(f5607,plain,
    ! [X0] :
      ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_RComplete_Onatceiling(X0)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
      | ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),v_r)) ),
    inference(superposition,[],[f2494,f5122]) ).

fof(f5816,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0),v_r))
      | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(X0) ),
    inference(resolution,[],[f5607,f2361]) ).

fof(f5823,plain,
    ! [X0] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = c_RComplete_Onatceiling(c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),
    inference(resolution,[],[f5816,f2323]) ).

fof(f5839,plain,
    ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),c_RealDef_Oreal(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),
    inference(superposition,[],[f2495,f5823]) ).

fof(f5840,plain,
    ! [X0] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
    inference(forward_demodulation,[],[f5839,f2390]) ).

fof(f5917,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0))))
      | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(resolution,[],[f2329,f5840]) ).

fof(f5951,plain,
    ! [X0] : c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X0)) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(forward_subsumption_resolution,[],[f5917,f4927]) ).

fof(f5975,plain,
    hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
    inference(superposition,[],[f2323,f5951]) ).

fof(f5985,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f5975,f3996]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW204+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n016.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
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 13:23:09 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  Running first-order model finding
% 0.09/0.22  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
% 0.63/0.43  % (3618588)Will run a generic schedule for satisfiability detection.
% 0.63/0.43  % (3618599)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2676035960:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.63/0.43  % (3618594)% WARNING: option uhcvi not known.
% 0.63/0.43  % (3618596)dis+10_1_sil=32000:sp=arity:random_seed=2180737297:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.63/0.43  % (3618593)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3253855042_2999 on theBenchmark for (2999ds/0Mi)
% 0.63/0.43  % (3618595)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3904140731:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.63/0.43  % (3618597)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=927316050:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.63/0.43  % (3618594)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1959161383:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.63/0.43  % (3618598)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=246682541:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.63/0.43  % (3618599)Instruction limit reached! 
% 0.63/0.43  % (3618599)------------------------------
% 0.63/0.43  % (3618599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43  % (3618599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43  % (3618599)CaDiCaL version: 2.1.3
% 0.63/0.43  % (3618599)Termination reason: Instruction limit
% 0.63/0.43  % (3618599)Termination phase: Saturation
% 0.63/0.43  % (3618599)Time elapsed: 0.046 s
% 0.63/0.43  % (3618599)Peak memory usage: 15 MB
% 0.63/0.43  % (3618599)Instructions burned: 161 (million)
% 0.63/0.43  % (3618596)Instruction limit reached! 
% 0.63/0.43  % (3618596)------------------------------
% 0.63/0.43  % (3618596)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43  % (3618596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43  % (3618596)CaDiCaL version: 2.1.3
% 0.63/0.43  % (3618596)Termination reason: Instruction limit
% 0.63/0.43  % (3618596)Termination phase: Saturation
% 0.63/0.43  % (3618596)Time elapsed: 0.051 s
% 0.63/0.43  % (3618596)Peak memory usage: 13 MB
% 0.63/0.43  % (3618596)Instructions burned: 103 (million)
% 0.63/0.43  % (3618607)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1638961462:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.63/0.43  % (3618597)Instruction limit reached! 
% 0.63/0.43  % (3618597)------------------------------
% 0.63/0.43  % (3618597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43  % (3618597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43  % (3618597)CaDiCaL version: 2.1.3
% 0.63/0.43  % (3618597)Termination reason: Instruction limit
% 0.63/0.43  % (3618597)Termination phase: Property scanning
% 0.63/0.43  % (3618597)Time elapsed: 0.053 s
% 0.63/0.43  % (3618597)Peak memory usage: 14 MB
% 0.63/0.43  % (3618597)Instructions burned: 116 (million)
% 0.63/0.43  % (3618598)Instruction limit reached! 
% 0.63/0.43  % (3618598)------------------------------
% 0.63/0.43  % (3618598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43  % (3618598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43  % (3618598)CaDiCaL version: 2.1.3
% 0.63/0.43  % (3618598)Termination reason: Instruction limit
% 0.63/0.43  % (3618598)Termination phase: Saturation
% 0.63/0.43  % (3618598)Time elapsed: 0.063 s
% 0.63/0.43  % (3618598)Peak memory usage: 14 MB
% 0.63/0.43  % (3618598)Instructions burned: 131 (million)
% 0.63/0.43  % (3618609)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2136159834:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.63/0.43  % (3618610)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2265628154:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.63/0.43  % (3618611)ott-21_1_sil=16000:fs=off:random_seed=4254466649:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.63/0.43  % (3618594) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3618588-3618594"...
% 0.63/0.43  % (3618594)...printing done.
% 0.63/0.43  % (3618594)Refutation found. Thanks to Tanya!
% 0.63/0.43  % SZS status Theorem for theBenchmark
% 0.63/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.63/0.43  % (3618594)------------------------------
% 0.63/0.43  % (3618594)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.63/0.43  % (3618594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.63/0.43  % (3618594)CaDiCaL version: 2.1.3
% 0.63/0.43  % (3618594)Termination reason: Refutation
% 0.63/0.43  % (3618594)Time elapsed: 0.110 s
% 0.63/0.43  % (3618594)Peak memory usage: 15 MB
% 0.63/0.43  % (3618594)Instructions burned: 195 (million)
% 0.63/0.43  % (3618588)Success in time 0.201 s
% 0.63/0.43  % Vampire exiting
%------------------------------------------------------------------------------