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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW234+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 : n002.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 01:39:40 PM UTC 2026

% Result   : Theorem 5.82s 2.06s
% Output   : Refutation 5.82s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   33 (  18 unt;   0 def)
%            Number of atoms       :   61 (   2 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   58 (  30   ~;  22   |;   0   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   4 con; 0-3 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_h) ).

fof(f7,axiom,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__refl) ).

fof(f9,axiom,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
     => ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
       => c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__le__trans) ).

fof(f18,axiom,
    ! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_real__norm__def) ).

fof(f40,axiom,
    ! [X0,X1,X2,X3] :
      ( class_Groups_Oordered__comm__monoid__add(X3)
     => ( c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
       => ( c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
         => c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_add__increasing2) ).

fof(f185,axiom,
    ! [X0,X1] :
      ( class_RealVector_Oreal__normed__vector(X1)
     => 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(f1122,axiom,
    class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).

fof(f1127,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).

fof(f1274,conjecture,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f1275,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    inference(negated_conjecture,[status(cth)],[f1274]) ).

fof(f1281,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    inference(flattening,[],[f1275]) ).

fof(f1288,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f1289,plain,
    ! [X0,X1,X2] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(flattening,[],[f1288]) ).

fof(f1324,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2))
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Groups_Oordered__comm__monoid__add(X3) ),
    inference(ennf_transformation,[],[f40]) ).

fof(f1325,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2))
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ class_Groups_Oordered__comm__monoid__add(X3) ),
    inference(flattening,[],[f1324]) ).

fof(f1537,plain,
    ! [X0,X1] :
      ( 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,[],[f185]) ).

fof(f2381,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    inference(cnf_transformation,[],[f6]) ).

fof(f2382,plain,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X0),
    inference(cnf_transformation,[],[f7]) ).

fof(f2384,plain,
    ! [X2,X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
    inference(cnf_transformation,[],[f1289]) ).

fof(f2393,plain,
    ! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
    inference(cnf_transformation,[],[f18]) ).

fof(f2424,plain,
    ! [X2,X3,X0,X1] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2))
      | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
      | ~ class_Groups_Oordered__comm__monoid__add(X3) ),
    inference(cnf_transformation,[],[f1325]) ).

fof(f2617,plain,
    ! [X0,X1] :
      ( 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(cnf_transformation,[],[f1537]) ).

fof(f3888,plain,
    class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1122]) ).

fof(f3893,plain,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1127]) ).

fof(f4040,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
    inference(cnf_transformation,[],[f1281]) ).

fof(f4503,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0))
      | ~ class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
    inference(superposition,[],[f2617,f2393]) ).

fof(f4508,plain,
    ! [X0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0)),
    inference(forward_subsumption_resolution,[],[f4503,f3893]) ).

fof(f6554,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X0) ),
    inference(resolution,[],[f2384,f4040]) ).

fof(f6567,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))),
    inference(resolution,[],[f6554,f2381]) ).

fof(f25746,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))
    | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
    inference(resolution,[],[f2424,f6567]) ).

fof(f25825,plain,
    ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
    | ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
    inference(forward_subsumption_resolution,[],[f25746,f4508]) ).

fof(f25852,plain,
    ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
    inference(forward_subsumption_resolution,[],[f25825,f2382]) ).

fof(f25861,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f25852,f3888]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW234+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n002.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 13:22:22 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
% 5.82/2.06  % (348566)Will run a generic schedule for satisfiability detection.
% 5.82/2.06  % (348571)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=795240662_2999 on theBenchmark for (2999ds/0Mi)
% 5.82/2.06  % (348572)% WARNING: option uhcvi not known.
% 5.82/2.06  % (348572)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4087710071:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 5.82/2.06  % (348573)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3561870551:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 5.82/2.06  % (348574)dis+10_1_sil=32000:sp=arity:random_seed=555938513:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 5.82/2.06  % (348575)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=365234276:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 5.82/2.06  % (348576)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3793750439:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 5.82/2.06  % (348577)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1899915287:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 5.82/2.06  % (348574)Instruction limit reached! 
% 5.82/2.06  % (348574)------------------------------
% 5.82/2.06  % (348574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348574)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348574)Termination reason: Instruction limit
% 5.82/2.06  % (348574)Termination phase: Saturation
% 5.82/2.06  % (348574)Time elapsed: 0.052 s
% 5.82/2.06  % (348574)Peak memory usage: 14 MB
% 5.82/2.06  % (348574)Instructions burned: 104 (million)
% 5.82/2.06  % (348575)Instruction limit reached! 
% 5.82/2.06  % (348575)------------------------------
% 5.82/2.06  % (348575)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348575)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348575)Termination reason: Instruction limit
% 5.82/2.06  % (348575)Termination phase: Saturation
% 5.82/2.06  % (348575)Time elapsed: 0.058 s
% 5.82/2.06  % (348575)Peak memory usage: 14 MB
% 5.82/2.06  % (348575)Instructions burned: 120 (million)
% 5.82/2.06  % (348576)Instruction limit reached! 
% 5.82/2.06  % (348576)------------------------------
% 5.82/2.06  % (348576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348576)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348576)Termination reason: Instruction limit
% 5.82/2.06  % (348576)Termination phase: Saturation
% 5.82/2.06  % (348576)Time elapsed: 0.068 s
% 5.82/2.06  % (348576)Peak memory usage: 14 MB
% 5.82/2.06  % (348576)Instructions burned: 132 (million)
% 5.82/2.06  % (348585)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4200407678:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 5.82/2.06  % (348586)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1692352125:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 5.82/2.06  % (348587)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=2451257879:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 5.82/2.06  % (348577)Instruction limit reached! 
% 5.82/2.06  % (348577)------------------------------
% 5.82/2.06  % (348577)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348577)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348577)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348577)Termination reason: Instruction limit
% 5.82/2.06  % (348577)Termination phase: Saturation
% 5.82/2.06  % (348577)Time elapsed: 0.088 s
% 5.82/2.06  % (348577)Peak memory usage: 16 MB
% 5.82/2.06  % (348577)Instructions burned: 159 (million)
% 5.82/2.06  % (348591)ott-21_1_sil=16000:fs=off:random_seed=3270844037:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 5.82/2.06  % (348586)Instruction limit reached! 
% 5.82/2.06  % (348586)------------------------------
% 5.82/2.06  % (348586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348586)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348586)Termination reason: Instruction limit
% 5.82/2.06  % (348586)Termination phase: Saturation
% 5.82/2.06  % (348586)Time elapsed: 0.063 s
% 5.82/2.06  % (348586)Peak memory usage: 14 MB
% 5.82/2.06  % (348586)Instructions burned: 131 (million)
% 5.82/2.06  % (348593)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2987791874:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 5.82/2.06  % TRYING [1]
% 5.82/2.06  % TRYING [2]
% 5.82/2.06  % (348591)Instruction limit reached! 
% 5.82/2.06  % (348591)------------------------------
% 5.82/2.06  % (348591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348591)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348591)Termination reason: Instruction limit
% 5.82/2.06  % (348591)Termination phase: Saturation
% 5.82/2.06  % (348591)Time elapsed: 0.090 s
% 5.82/2.06  % (348591)Peak memory usage: 15 MB
% 5.82/2.06  % (348591)Instructions burned: 181 (million)
% 5.82/2.06  % (348595)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1326552847:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 5.82/2.06  % TRYING [3]
% 5.82/2.06  % TRYING [1]
% 5.82/2.06  % TRYING [2]
% 5.82/2.06  % (348585)Instruction limit reached! 
% 5.82/2.06  % (348585)------------------------------
% 5.82/2.06  % (348585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348585)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348585)Termination reason: Instruction limit
% 5.82/2.06  % (348585)Termination phase: Finite model building constraint generation
% 5.82/2.06  % (348585)Time elapsed: 0.340 s
% 5.82/2.06  % (348585)Peak memory usage: 24 MB
% 5.82/2.06  % (348585)Instructions burned: 715 (million)
% 5.82/2.06  % (348587)Instruction limit reached! 
% 5.82/2.06  % (348587)------------------------------
% 5.82/2.06  % (348587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348587)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348587)Termination reason: Instruction limit
% 5.82/2.06  % (348587)Termination phase: Saturation
% 5.82/2.06  % (348587)Time elapsed: 0.335 s
% 5.82/2.06  % (348587)Peak memory usage: 16 MB
% 5.82/2.06  % (348587)Instructions burned: 685 (million)
% 5.82/2.06  % (348597)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=176230251:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 5.82/2.06  % (348598)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2908988910:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 5.82/2.06  % (348593)Instruction limit reached! 
% 5.82/2.06  % (348593)------------------------------
% 5.82/2.06  % (348593)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348593)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348593)Termination reason: Instruction limit
% 5.82/2.06  % (348593)Termination phase: Saturation
% 5.82/2.06  % (348593)Time elapsed: 0.299 s
% 5.82/2.06  % (348593)Peak memory usage: 17 MB
% 5.82/2.06  % (348593)Instructions burned: 478 (million)
% 5.82/2.06  % (348601)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=4065217408:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 5.82/2.06  % TRYING [1]
% 5.82/2.06  % TRYING [2]
% 5.82/2.06  % (348595)Instruction limit reached! 
% 5.82/2.06  % (348595)------------------------------
% 5.82/2.06  % (348595)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348595)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348595)Termination reason: Instruction limit
% 5.82/2.06  % (348595)Termination phase: Finite model building constraint generation
% 5.82/2.06  % (348595)Time elapsed: 0.412 s
% 5.82/2.06  % (348595)Peak memory usage: 34 MB
% 5.82/2.06  % (348595)Instructions burned: 867 (million)
% 5.82/2.06  % (348603)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=2304271031:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 5.82/2.06  % (348598)Instruction limit reached! 
% 5.82/2.06  % (348598)------------------------------
% 5.82/2.06  % (348598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348598)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348598)Termination reason: Instruction limit
% 5.82/2.06  % (348598)Termination phase: Finite model building constraint generation
% 5.82/2.06  % (348598)Time elapsed: 0.434 s
% 5.82/2.06  % (348598)Peak memory usage: 53 MB
% 5.82/2.06  % (348598)Instructions burned: 889 (million)
% 5.82/2.06  % (348605)fmb+10_1_sil=64000:random_seed=3845050011:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 5.82/2.06  % TRYING [4]
% 5.82/2.06  % (348601)Instruction limit reached! 
% 5.82/2.06  % (348601)------------------------------
% 5.82/2.06  % (348601)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348601)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348601)Termination reason: Instruction limit
% 5.82/2.06  % (348601)Termination phase: Saturation
% 5.82/2.06  % (348601)Time elapsed: 0.467 s
% 5.82/2.06  % (348601)Peak memory usage: 22 MB
% 5.82/2.06  % (348601)Instructions burned: 692 (million)
% 5.82/2.06  % (348607)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1309531:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 5.82/2.06  % (348603)Instruction limit reached! 
% 5.82/2.06  % (348603)------------------------------
% 5.82/2.06  % (348603)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348603)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348603)Termination reason: Instruction limit
% 5.82/2.06  % (348603)Termination phase: Saturation
% 5.82/2.06  % (348603)Time elapsed: 0.434 s
% 5.82/2.06  % (348603)Peak memory usage: 21 MB
% 5.82/2.06  % (348603)Instructions burned: 882 (million)
% 5.82/2.06  % (348609)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=232692967:fmbsr=1.7:i=920_2988 on theBenchmark for (2988ds/920Mi)
% 5.82/2.06  % (348597)Instruction limit reached! 
% 5.82/2.06  % (348597)------------------------------
% 5.82/2.06  % (348597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348597)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348597)Termination reason: Instruction limit
% 5.82/2.06  % (348597)Termination phase: Saturation
% 5.82/2.06  % (348597)Time elapsed: 0.751 s
% 5.82/2.06  % (348597)Peak memory usage: 21 MB
% 5.82/2.06  % (348597)Instructions burned: 1180 (million)
% 5.82/2.06  % (348611)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3583210388:i=5131_2987 on theBenchmark for (2987ds/5131Mi)
% 5.82/2.06  % TRYING [1]
% 5.82/2.06  % TRYING [2]
% 5.82/2.06  % (348607)Cannot represent all propositional literals internally
% 5.82/2.06  % (348607)Refutation not found, incomplete strategy
% 5.82/2.06  % (348607)------------------------------
% 5.82/2.06  % (348607)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348607)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348607)Termination reason: Refutation not found, incomplete strategy
% 5.82/2.06  % (348607)Time elapsed: 0.316 s
% 5.82/2.06  % (348607)Peak memory usage: 24 MB
% 5.82/2.06  % (348607)Instructions burned: 650 (million)
% 5.82/2.06  % (348607)------------------------------
% 5.82/2.06  % (348607)------------------------------
% 5.82/2.06  % (348613)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=775520765:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 5.82/2.06  % TRYING [8]
% 5.82/2.06  % (348609)Instruction limit reached! 
% 5.82/2.06  % (348609)------------------------------
% 5.82/2.06  % (348609)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348609)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348609)Termination reason: Instruction limit
% 5.82/2.06  % (348609)Termination phase: Finite model building constraint generation
% 5.82/2.06  % (348609)Time elapsed: 0.411 s
% 5.82/2.06  % (348609)Peak memory usage: 40 MB
% 5.82/2.06  % (348609)Instructions burned: 921 (million)
% 5.82/2.06  % (348615)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=3452493599:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 5.82/2.06  % (348611) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-348566-348611"...
% 5.82/2.06  % (348611)...printing done.
% 5.82/2.06  % (348611)Refutation found. Thanks to Tanya!
% 5.82/2.06  % SZS status Theorem for theBenchmark
% 5.82/2.06  % SZS output start Proof for theBenchmark
% See solution above
% 5.82/2.06  % (348611)------------------------------
% 5.82/2.06  % (348611)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 5.82/2.06  % (348611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.82/2.06  % (348611)CaDiCaL version: 2.1.3
% 5.82/2.06  % (348611)Termination reason: Refutation
% 5.82/2.06  % (348611)Time elapsed: 0.507 s
% 5.82/2.06  % (348611)Peak memory usage: 19 MB
% 5.82/2.06  % (348611)Instructions burned: 845 (million)
% 5.82/2.06  % (348566)Success in time 1.828 s
% 5.82/2.06  % Vampire exiting
%------------------------------------------------------------------------------