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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWW237+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n004.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 01:29:55 PM UTC 2026

% Result   : Theorem 17.20s 3.53s
% Output   : Refutation 17.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   35 (  17 unt;   0 def)
%            Number of atoms       :   82 (   0 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   84 (  37   ~;  33   |;   6   &)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :   51 (  51   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f35,axiom,
    ! [X0,X1,X2,X3] :
      ( class_Orderings_Oorder(X3)
     => ( c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
       => ( c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
         => c_Orderings_Oord__class_Oless__eq(X3,X0,X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_xt1_I6_J) ).

fof(f61,axiom,
    ! [X0,X1,X2,X3] :
      ( class_Groups_Oordered__ab__semigroup__add__imp__le(X3)
     => ( c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
       => c_Orderings_Oord__class_Oless__eq(X3,X2,X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__le__imp__le__right) ).

fof(f188,axiom,
    ! [X0,X1,X2] :
      ( class_Groups_Oordered__ab__group__add__abs(X2)
     => ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),X0)
      <=> ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
          & c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),X0) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_abs__le__iff) ).

fof(f1112,axiom,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le) ).

fof(f1121,axiom,
    class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) ).

fof(f1166,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arity_RealDef__Oreal__Orderings_Oorder) ).

fof(f1287,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

fof(f1288,axiom,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma),v_mzh),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

fof(f1289,conjecture,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).

fof(f1290,negated_conjecture,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
    inference(negated_conjecture,[status(cth)],[f1289]) ).

fof(f1293,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
    inference(flattening,[],[f1290]) ).

fof(f1341,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
      | ~ class_Orderings_Oorder(X3) ),
    inference(ennf_transformation,[],[f35]) ).

fof(f1342,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X0,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
      | ~ class_Orderings_Oorder(X3) ),
    inference(flattening,[],[f1341]) ).

fof(f1383,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3) ),
    inference(ennf_transformation,[],[f61]) ).

fof(f1384,plain,
    ! [X0,X1,X2,X3] :
      ( c_Orderings_Oord__class_Oless__eq(X3,X2,X0)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3) ),
    inference(flattening,[],[f1383]) ).

fof(f1552,plain,
    ! [X0,X1,X2] :
      ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),X0)
      <=> ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
          & c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),X0) ) )
      | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(ennf_transformation,[],[f188]) ).

fof(f2578,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),X0)
          | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
          | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),X0) )
        & ( ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
            & c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),X0) )
          | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),X0) ) )
      | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(nnf_transformation,[],[f1552]) ).

fof(f2579,plain,
    ! [X0,X1,X2] :
      ( ( ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),X0)
          | ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
          | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),X0) )
        & ( ( c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
            & c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ouminus__class_Ouminus(X2,X1),X0) )
          | ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),X0) ) )
      | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(flattening,[],[f2578]) ).

fof(f2934,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(X3,X2,X1)
      | ~ c_Orderings_Oord__class_Oless__eq(X3,X0,X2)
      | c_Orderings_Oord__class_Oless__eq(X3,X0,X1)
      | ~ class_Orderings_Oorder(X3) ),
    inference(cnf_transformation,[],[f1342]) ).

fof(f2966,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Oplus__class_Oplus(X3,X2,X1),c_Groups_Oplus__class_Oplus(X3,X0,X1))
      | c_Orderings_Oord__class_Oless__eq(X3,X2,X0)
      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(X3) ),
    inference(cnf_transformation,[],[f1384]) ).

fof(f3153,plain,
    ! [X2,X0,X1] :
      ( ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Oabs__class_Oabs(X2,X1),X0)
      | c_Orderings_Oord__class_Oless__eq(X2,X1,X0)
      | ~ class_Groups_Oordered__ab__group__add__abs(X2) ),
    inference(cnf_transformation,[],[f2579]) ).

fof(f4473,plain,
    class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1112]) ).

fof(f4482,plain,
    class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1121]) ).

fof(f4527,plain,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(cnf_transformation,[],[f1166]) ).

fof(f4648,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_mzh,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma)),
    inference(cnf_transformation,[],[f1287]) ).

fof(f4649,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_ma),v_mzh),
    inference(cnf_transformation,[],[f1288]) ).

fof(f4650,plain,
    ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh),
    inference(cnf_transformation,[],[f1293]) ).

fof(f5091,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_mzh)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma))
      | ~ class_Orderings_Oorder(tc_RealDef_Oreal) ),
    inference(resolution,[],[f2934,f4648]) ).

fof(f5096,plain,
    ! [X0] :
      ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,v_mazh,v_ma))
      | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_mzh) ),
    inference(forward_subsumption_resolution,[],[f5091,f4527]) ).

fof(f5240,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,v_ma),v_mzh)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_mazh)
      | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
    inference(resolution,[],[f5096,f2966]) ).

fof(f5251,plain,
    ! [X0] :
      ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,X0,v_ma),v_mzh)
      | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,v_mazh) ),
    inference(forward_subsumption_resolution,[],[f5240,f4473]) ).

fof(f5261,plain,
    c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_da____),v_mazh),
    inference(resolution,[],[f5251,f4649]) ).

fof(f5269,plain,
    ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_da____,v_mazh)
    | ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal) ),
    inference(resolution,[],[f5261,f3153]) ).

fof(f5276,plain,
    ~ class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(forward_subsumption_resolution,[],[f5269,f4650]) ).

fof(f5286,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f5276,f4482]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW237+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n004.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % 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 13:20:22 UTC 2026
% 0.09/0.19  % CPUTime  : 
% 0.09/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.38/3.25  % (354369)Detected formulas, will run a generic FOF schedule.
% 14.38/3.25  % (354407)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=811115221:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 14.38/3.25  % (354410)dis-21_1_sil=8000:lcm=predicate:random_seed=2626409049:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 14.38/3.25  % (354407)Instruction limit reached! 
% 14.38/3.25  % (354407)------------------------------
% 14.38/3.25  % (354407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.25  % (354407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.25  % (354407)CaDiCaL version: 2.1.3
% 14.38/3.25  % (354407)Termination reason: Instruction limit
% 14.38/3.25  % (354407)Termination phase: Saturation
% 14.38/3.25  % (354407)Time elapsed: 0.064 s
% 14.38/3.25  % (354407)Peak memory usage: 90 MB
% 14.38/3.25  % (354407)Instructions burned: 109 (million)
% 14.38/3.25  % (354405)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3179648358:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 14.38/3.25  % (354406)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3109155239:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 14.38/3.25  % (354404)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3016465771:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 14.38/3.25  % (354409)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=236371034:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 14.38/3.25  % (354408)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3938870979:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 14.38/3.25  % (354410)Instruction limit reached! 
% 14.38/3.25  % (354410)------------------------------
% 14.38/3.25  % (354410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.25  % (354410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.25  % (354410)CaDiCaL version: 2.1.3
% 14.38/3.25  % (354410)Termination reason: Instruction limit
% 14.38/3.25  % (354410)Termination phase: Saturation
% 14.38/3.25  % (354410)Time elapsed: 0.122 s
% 14.38/3.25  % (354410)Peak memory usage: 91 MB
% 14.38/3.25  % (354410)Instructions burned: 129 (million)
% 14.38/3.25  % (354409)Instruction limit reached! 
% 14.38/3.25  % (354409)------------------------------
% 14.38/3.25  % (354409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.25  % (354409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.25  % (354409)CaDiCaL version: 2.1.3
% 14.38/3.25  % (354409)Termination reason: Instruction limit
% 14.38/3.25  % (354409)Termination phase: Saturation
% 14.38/3.25  % (354409)Time elapsed: 0.132 s
% 14.38/3.25  % (354409)Peak memory usage: 91 MB
% 14.38/3.25  % (354409)Instructions burned: 141 (million)
% 14.38/3.25  % (354408)Instruction limit reached! 
% 14.38/3.25  % (354408)------------------------------
% 14.38/3.25  % (354408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.25  % (354408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.25  % (354408)CaDiCaL version: 2.1.3
% 14.38/3.25  % (354408)Termination reason: Instruction limit
% 14.38/3.25  % (354408)Termination phase: Saturation
% 14.38/3.25  % (354408)Time elapsed: 0.120 s
% 14.38/3.25  % (354408)Peak memory usage: 89 MB
% 14.38/3.25  % (354408)Instructions burned: 120 (million)
% 14.38/3.25  % (354421)lrs+10_1_sil=8000:sp=occurrence:random_seed=2536089170:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 14.38/3.25  % (354424)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1024315386:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 14.38/3.25  % (354423)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4075158404:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 14.38/3.25  % (354421)Instruction limit reached! 
% 14.38/3.25  % (354421)------------------------------
% 14.38/3.25  % (354421)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.25  % (354421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.25  % (354421)CaDiCaL version: 2.1.3
% 14.38/3.25  % (354421)Termination reason: Instruction limit
% 14.38/3.25  % (354421)Termination phase: Saturation
% 14.38/3.25  % (354421)Time elapsed: 0.165 s
% 14.38/3.25  % (354421)Peak memory usage: 92 MB
% 14.38/3.25  % (354421)Instructions burned: 286 (million)
% 14.38/3.25  % (354425)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2664951512:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.38/3.25  % (354423)Instruction limit reached! 
% 14.38/3.25  % (354423)------------------------------
% 14.38/3.25  % (354423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.25  % (354423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.25  % (354423)CaDiCaL version: 2.1.3
% 14.38/3.25  % (354423)Termination reason: Instruction limit
% 14.38/3.25  % (354423)Termination phase: Saturation
% 14.38/3.25  % (354423)Time elapsed: 0.140 s
% 14.38/3.25  % (354423)Peak memory usage: 90 MB
% 14.38/3.25  % (354423)Instructions burned: 157 (million)
% 14.38/3.25  % (354424)Instruction limit reached! 
% 14.38/3.25  % (354424)------------------------------
% 14.38/3.25  % (354424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.25  % (354424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.25  % (354424)CaDiCaL version: 2.1.3
% 14.38/3.25  % (354424)Termination reason: Instruction limit
% 14.38/3.25  % (354424)Termination phase: Saturation
% 14.38/3.25  % (354424)Time elapsed: 0.181 s
% 14.38/3.25  % (354424)Peak memory usage: 92 MB
% 14.38/3.25  % (354424)Instructions burned: 326 (million)
% 14.38/3.25  % (354433)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=565960145:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 14.38/3.25  % (354425)Instruction limit reached! 
% 14.38/3.25  % (354425)------------------------------
% 14.38/3.25  % (354425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.25  % (354425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.25  % (354425)CaDiCaL version: 2.1.3
% 14.38/3.25  % (354425)Termination reason: Instruction limit
% 14.38/3.25  % (354425)Termination phase: Saturation
% 14.38/3.25  % (354425)Time elapsed: 0.229 s
% 14.38/3.25  % (354425)Peak memory usage: 92 MB
% 14.38/3.25  % (354425)Instructions burned: 248 (million)
% 14.38/3.25  % (354436)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2882240194:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 14.38/3.25  % (354435)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=616705005:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 14.38/3.25  % (354436)Instruction limit reached! 
% 14.38/3.25  % (354436)------------------------------
% 14.38/3.25  % (354436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.25  % (354436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.25  % (354436)CaDiCaL version: 2.1.3
% 14.38/3.25  % (354436)Termination reason: Instruction limit
% 14.38/3.25  % (354436)Termination phase: Saturation
% 14.38/3.25  % (354436)Time elapsed: 0.055 s
% 14.38/3.25  % (354436)Peak memory usage: 90 MB
% 14.38/3.25  % (354436)Instructions burned: 114 (million)
% 14.38/3.25  % (354433)Instruction limit reached! 
% 14.38/3.25  % (354433)------------------------------
% 14.38/3.25  % (354433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.25  % (354433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.25  % (354433)CaDiCaL version: 2.1.3
% 14.38/3.25  % (354433)Termination reason: Instruction limit
% 14.38/3.25  % (354433)Termination phase: Saturation
% 14.38/3.25  % (354433)Time elapsed: 0.291 s
% 14.38/3.25  % (354433)Peak memory usage: 91 MB
% 14.38/3.25  % (354433)Instructions burned: 295 (million)
% 14.38/3.25  % (354442)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1349563205:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 14.38/3.25  % (354445)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3944832212:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 14.38/3.25  % (354442)Instruction limit reached! 
% 14.38/3.25  % (354442)------------------------------
% 14.38/3.25  % (354442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.38/3.25  % (354442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.38/3.25  % (354442)CaDiCaL version: 2.1.3
% 14.38/3.25  % (354442)Termination reason: Instruction limit
% 17.20/3.53  % (354442)Termination phase: Saturation
% 17.20/3.53  % (354442)Time elapsed: 0.114 s
% 17.20/3.53  % (354442)Peak memory usage: 90 MB
% 17.20/3.53  % (354442)Instructions burned: 128 (million)
% 17.20/3.53  % (354445)Instruction limit reached! 
% 17.20/3.53  % (354445)------------------------------
% 17.20/3.53  % (354445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/3.53  % (354445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/3.53  % (354445)CaDiCaL version: 2.1.3
% 17.20/3.53  % (354445)Termination reason: Instruction limit
% 17.20/3.53  % (354445)Termination phase: Saturation
% 17.20/3.53  % (354445)Time elapsed: 0.055 s
% 17.20/3.53  % (354445)Peak memory usage: 90 MB
% 17.20/3.53  % (354445)Instructions burned: 114 (million)
% 17.20/3.53  % (354448)lrs+10_1_sil=8000:sp=occurrence:random_seed=749468597:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 17.20/3.53  % (354451)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1993469777:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 17.20/3.53  % (354452)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=717398460:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 17.20/3.53  % (354404)First to succeed.
% 17.20/3.53  % (354404)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-354369"
% 17.20/3.53  % (354451)Instruction limit reached! 
% 17.20/3.53  % (354451)------------------------------
% 17.20/3.53  % (354451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/3.53  % (354451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/3.53  % (354451)CaDiCaL version: 2.1.3
% 17.20/3.53  % (354451)Termination reason: Instruction limit
% 17.20/3.53  % (354451)Termination phase: Saturation
% 17.20/3.53  % (354451)Time elapsed: 0.399 s
% 17.20/3.53  % (354451)Peak memory usage: 93 MB
% 17.20/3.53  % (354451)Instructions burned: 437 (million)
% 17.20/3.53  % (354458)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3601914465:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2979 on theBenchmark for (2979ds/134Mi)
% 17.20/3.53  % (354404)Refutation found. Thanks to Tanya!
% 17.20/3.53  % SZS status Theorem for theBenchmark
% 17.20/3.53  % SZS output start Proof for theBenchmark
% See solution above
% 17.20/3.53  % (354404)------------------------------
% 17.20/3.53  % (354404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.20/3.53  % (354404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.20/3.53  % (354404)CaDiCaL version: 2.1.3
% 17.20/3.53  % (354404)Termination reason: Refutation
% 17.20/3.53  % (354404)Time elapsed: 1.582 s
% 17.20/3.53  % (354404)Peak memory usage: 142 MB
% 17.20/3.53  % (354404)Instructions burned: 1536 (million)
% 17.20/3.53  % (354404)------------------------------
% 17.20/3.53  % (354404)------------------------------
% 17.20/3.53  % (354369)Success in time 2.377 s
% 17.20/3.53  % Vampire exiting
%------------------------------------------------------------------------------