↑ Up

Vampire---5.0.1.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SEU211+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n019.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 12:47:45 PM UTC 2026

% Result   : Theorem 3.39s 1.37s
% Output   : Refutation 3.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   46 (   9 unt;   0 def)
%            Number of atoms       :  179 (  17 equ)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  225 (  92   ~;  92   |;  29   &)
%                                         (   6 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   7 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  136 ( 120   !;  16   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).

fof(f4,axiom,
    ! [X0] :
      ( relation(X0)
     => ! [X1,X2] :
          ( X2 = relation_inverse_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(ordered_pair(X3,X4),X0)
                  & in(X4,X1) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X0)
         => in(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).

fof(f6,axiom,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tarski) ).

fof(f28,conjecture,
    ! [X0,X1,X2] :
      ( relation(X2)
     => ( subset(X0,X1)
       => subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',t178_relat_1) ).

fof(f29,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( relation(X2)
       => ( subset(X0,X1)
         => subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1)) ) ),
    inference(negated_conjecture,[status(cth)],[f28]) ).

fof(f39,plain,
    ? [X0,X1,X2] :
      ( ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
      & subset(X0,X1)
      & relation(X2) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f40,plain,
    ? [X0,X1,X2] :
      ( ~ subset(relation_inverse_image(X2,X0),relation_inverse_image(X2,X1))
      & subset(X0,X1)
      & relation(X2) ),
    inference(flattening,[],[f39]) ).

fof(f41,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( X2 = relation_inverse_image(X0,X1)
        <=> ! [X3] :
              ( in(X3,X2)
            <=> ? [X4] :
                  ( in(ordered_pair(X3,X4),X0)
                  & in(X4,X1) ) ) )
      | ~ relation(X0) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f43,plain,
    ! [X0,X1] :
      ( subset(X0,X1)
    <=> ! [X2] :
          ( in(X2,X1)
          | ~ in(X2,X0) ) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f55,plain,
    ( ~ subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1))
    & subset(sK0,sK1)
    & relation(sK2) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f40]) ).

fof(f56,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_inverse_image(X0,X1)
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(ordered_pair(X3,X4),X0)
                      | ~ in(X4,X1) )
                  | ~ in(X3,X2) )
                & ( ? [X4] :
                      ( in(ordered_pair(X3,X4),X0)
                      & in(X4,X1) )
                  | in(X3,X2) ) ) )
          & ( ! [X3] :
                ( ( in(X3,X2)
                  | ! [X4] :
                      ( ~ in(ordered_pair(X3,X4),X0)
                      | ~ in(X4,X1) ) )
                & ( ? [X4] :
                      ( in(ordered_pair(X3,X4),X0)
                      & in(X4,X1) )
                  | ~ in(X3,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(nnf_transformation,[],[f41]) ).

fof(f57,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_inverse_image(X0,X1)
            | ? [X3] :
                ( ( ! [X4] :
                      ( ~ in(ordered_pair(X3,X4),X0)
                      | ~ in(X4,X1) )
                  | ~ in(X3,X2) )
                & ( ? [X5] :
                      ( in(ordered_pair(X3,X5),X0)
                      & in(X5,X1) )
                  | in(X3,X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(ordered_pair(X6,X7),X0)
                      | ~ in(X7,X1) ) )
                & ( ? [X8] :
                      ( in(ordered_pair(X6,X8),X0)
                      & in(X8,X1) )
                  | ~ in(X6,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(rectify,[],[f56]) ).

fof(f58,plain,
    ! [X0] :
      ( ! [X1,X2] :
          ( ( X2 = relation_inverse_image(X0,X1)
            | ( ( ! [X4] :
                    ( ~ in(ordered_pair(sK3(X0,X1,X2),X4),X0)
                    | ~ in(X4,X1) )
                | ~ in(sK3(X0,X1,X2),X2) )
              & ( ( in(ordered_pair(sK3(X0,X1,X2),sK4(X0,X1,X2)),X0)
                  & in(sK4(X0,X1,X2),X1) )
                | in(sK3(X0,X1,X2),X2) ) ) )
          & ( ! [X6] :
                ( ( in(X6,X2)
                  | ! [X7] :
                      ( ~ in(ordered_pair(X6,X7),X0)
                      | ~ in(X7,X1) ) )
                & ( ( in(ordered_pair(X6,sK5(X0,X1,X6)),X0)
                    & in(sK5(X0,X1,X6),X1) )
                  | ~ in(X6,X2) ) )
            | relation_inverse_image(X0,X1) != X2 ) )
      | ~ relation(X0) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5]),skolemize(X3,sK3(X0,X1,X2)),skolemize(X5,sK4(X0,X1,X2)),skolemize(X8,sK5(X0,X1,X6))],[f57]) ).

fof(f62,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X2] :
            ( in(X2,X1)
            | ~ in(X2,X0) )
        | ~ subset(X0,X1) ) ),
    inference(nnf_transformation,[],[f43]) ).

fof(f63,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ? [X2] :
            ( ~ in(X2,X1)
            & in(X2,X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(rectify,[],[f62]) ).

fof(f64,plain,
    ! [X0,X1] :
      ( ( subset(X0,X1)
        | ( ~ in(sK8(X0,X1),X1)
          & in(sK8(X0,X1),X0) ) )
      & ( ! [X3] :
            ( in(X3,X1)
            | ~ in(X3,X0) )
        | ~ subset(X0,X1) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f63]) ).

fof(f70,plain,
    relation(sK2),
    inference(cnf_transformation,[],[f55]) ).

fof(f71,plain,
    subset(sK0,sK1),
    inference(cnf_transformation,[],[f55]) ).

fof(f72,plain,
    ~ subset(relation_inverse_image(sK2,sK0),relation_inverse_image(sK2,sK1)),
    inference(cnf_transformation,[],[f55]) ).

fof(f73,plain,
    ! [X2,X0,X1,X6] :
      ( in(sK5(X0,X1,X6),X1)
      | ~ in(X6,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f74,plain,
    ! [X2,X0,X1,X6] :
      ( in(ordered_pair(X6,sK5(X0,X1,X6)),X0)
      | ~ in(X6,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f75,plain,
    ! [X2,X0,X1,X6,X7] :
      ( in(X6,X2)
      | ~ in(ordered_pair(X6,X7),X0)
      | ~ in(X7,X1)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(cnf_transformation,[],[f58]) ).

fof(f89,plain,
    ! [X3,X0,X1] :
      ( ~ subset(X0,X1)
      | ~ in(X3,X0)
      | in(X3,X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f90,plain,
    ! [X0,X1] :
      ( in(sK8(X0,X1),X0)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( ~ in(sK8(X0,X1),X1)
      | subset(X0,X1) ),
    inference(cnf_transformation,[],[f64]) ).

fof(f94,plain,
    ! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
    inference(cnf_transformation,[],[f6]) ).

fof(f95,plain,
    ! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
    inference(cnf_transformation,[],[f3]) ).

fof(f116,plain,
    ! [X2,X0,X1,X6,X7] :
      ( in(X6,X2)
      | ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),X0)
      | ~ in(X7,X1)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f75,f94]) ).

fof(f117,plain,
    ! [X2,X0,X1,X6] :
      ( in(unordered_pair(unordered_pair(X6,sK5(X0,X1,X6)),singleton(X6)),X0)
      | ~ in(X6,X2)
      | relation_inverse_image(X0,X1) != X2
      | ~ relation(X0) ),
    inference(definition_unfolding,[],[f74,f94]) ).

fof(f119,plain,
    ! [X0,X1,X6,X7] :
      ( in(X6,relation_inverse_image(X0,X1))
      | ~ in(unordered_pair(unordered_pair(X6,X7),singleton(X6)),X0)
      | ~ in(X7,X1)
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f116]) ).

fof(f120,plain,
    ! [X0,X1,X6] :
      ( in(unordered_pair(unordered_pair(X6,sK5(X0,X1,X6)),singleton(X6)),X0)
      | ~ in(X6,relation_inverse_image(X0,X1))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f117]) ).

fof(f121,plain,
    ! [X0,X1,X6] :
      ( in(sK5(X0,X1,X6),X1)
      | ~ in(X6,relation_inverse_image(X0,X1))
      | ~ relation(X0) ),
    inference(equality_resolution,[],[f73]) ).

fof(f122,plain,
    ! [X0,X1,X6] :
      ( in(unordered_pair(singleton(X6),unordered_pair(X6,sK5(X0,X1,X6))),X0)
      | ~ in(X6,relation_inverse_image(X0,X1))
      | ~ relation(X0) ),
    inference(forward_demodulation,[],[f120,f95]) ).

fof(f123,plain,
    ! [X0,X1,X6,X7] :
      ( ~ in(unordered_pair(singleton(X6),unordered_pair(X6,X7)),X0)
      | in(X6,relation_inverse_image(X0,X1))
      | ~ in(X7,X1)
      | ~ relation(X0) ),
    inference(forward_demodulation,[],[f119,f95]) ).

fof(f178,plain,
    ! [X0] :
      ( ~ in(X0,sK0)
      | in(X0,sK1) ),
    inference(resolution,[],[f89,f71]) ).

fof(f217,plain,
    ! [X0,X1] :
      ( in(sK5(X1,sK0,X0),sK1)
      | ~ relation(X1)
      | ~ in(X0,relation_inverse_image(X1,sK0)) ),
    inference(resolution,[],[f121,f178]) ).

fof(f231,plain,
    ! [X2,X3,X0,X1] :
      ( in(X0,relation_inverse_image(X1,X2))
      | ~ in(sK5(X1,X3,X0),X2)
      | ~ relation(X1)
      | ~ in(X0,relation_inverse_image(X1,X3))
      | ~ relation(X1) ),
    inference(resolution,[],[f123,f122]) ).

fof(f234,plain,
    ! [X2,X3,X0,X1] :
      ( ~ in(sK5(X1,X3,X0),X2)
      | in(X0,relation_inverse_image(X1,X2))
      | ~ relation(X1)
      | ~ in(X0,relation_inverse_image(X1,X3)) ),
    inference(duplicate_literal_removal,[],[f231]) ).

fof(f430,plain,
    ! [X0,X1] :
      ( in(X0,relation_inverse_image(X1,sK1))
      | ~ relation(X1)
      | ~ in(X0,relation_inverse_image(X1,sK0))
      | ~ relation(X1)
      | ~ in(X0,relation_inverse_image(X1,sK0)) ),
    inference(resolution,[],[f234,f217]) ).

fof(f432,plain,
    ! [X0,X1] :
      ( ~ in(X0,relation_inverse_image(X1,sK0))
      | ~ relation(X1)
      | in(X0,relation_inverse_image(X1,sK1)) ),
    inference(duplicate_literal_removal,[],[f430]) ).

fof(f444,plain,
    ! [X0,X1] :
      ( in(sK8(relation_inverse_image(X0,sK0),X1),relation_inverse_image(X0,sK1))
      | ~ relation(X0)
      | subset(relation_inverse_image(X0,sK0),X1) ),
    inference(resolution,[],[f432,f90]) ).

fof(f499,plain,
    ! [X0] :
      ( ~ relation(X0)
      | subset(relation_inverse_image(X0,sK0),relation_inverse_image(X0,sK1))
      | subset(relation_inverse_image(X0,sK0),relation_inverse_image(X0,sK1)) ),
    inference(resolution,[],[f444,f91]) ).

fof(f503,plain,
    ! [X0] :
      ( subset(relation_inverse_image(X0,sK0),relation_inverse_image(X0,sK1))
      | ~ relation(X0) ),
    inference(duplicate_literal_removal,[],[f499]) ).

fof(f505,plain,
    ~ relation(sK2),
    inference(resolution,[],[f503,f72]) ).

fof(f509,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f505,f70]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SEU211+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39  % Computer : n019.cluster.edu
% 0.11/0.39  % Model    : x86_64 x86_64
% 0.11/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39  % Memory   : 8046.5625MB
% 0.11/0.39  % OS       : Linux 6.8.0-71-generic
% 0.11/0.39  % CPULimit : 300
% 0.11/0.39  % WCLimit  : 300
% 0.11/0.39  % DateTime : Mon Sep 28 04:04:04 UTC 2026
% 0.11/0.39  % CPUTime  : 
% 0.11/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42  Running first-order theorem proving
% 0.11/0.42  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.46/1.27  % (3648506)Detected formulas, will run a generic FOF schedule.
% 2.46/1.27  % (3648515)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=439941661:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.46/1.27  % (3648516)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3957532363:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.46/1.27  % (3648511)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=265835417:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.46/1.27  % (3648512)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=3753931380:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.46/1.27  % (3648514)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3713177266:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.46/1.27  % (3648517)dis-21_1_sil=8000:lcm=predicate:random_seed=507722376: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)
% 2.46/1.27  % (3648513)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=2669751611:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.46/1.27  % (3648514)Refutation not found, incomplete strategy
% 2.46/1.27  % (3648514)------------------------------
% 2.46/1.27  % (3648514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.27  % (3648514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.27  % (3648514)CaDiCaL version: 2.1.3
% 2.46/1.27  % (3648514)Termination reason: Refutation not found, incomplete strategy
% 2.46/1.27  % (3648514)Time elapsed: 0.002 s
% 2.46/1.27  % (3648514)Peak memory usage: 88 MB
% 2.46/1.27  % (3648514)Instructions burned: 1 (million)
% 2.46/1.27  % (3648515)Instruction limit reached! 
% 2.46/1.27  % (3648515)------------------------------
% 2.46/1.27  % (3648515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.27  % (3648515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.27  % (3648515)CaDiCaL version: 2.1.3
% 2.46/1.27  % (3648515)Termination reason: Instruction limit
% 2.46/1.27  % (3648515)Termination phase: Saturation
% 2.46/1.27  % (3648515)Time elapsed: 0.040 s
% 2.46/1.27  % (3648515)Peak memory usage: 88 MB
% 2.46/1.27  % (3648515)Instructions burned: 121 (million)
% 2.46/1.27  % (3648517)Instruction limit reached! 
% 2.46/1.27  % (3648517)------------------------------
% 2.46/1.27  % (3648517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.27  % (3648517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.27  % (3648517)CaDiCaL version: 2.1.3
% 2.46/1.27  % (3648517)Termination reason: Instruction limit
% 2.46/1.27  % (3648517)Termination phase: Saturation
% 2.46/1.27  % (3648517)Time elapsed: 0.074 s
% 2.46/1.27  % (3648517)Peak memory usage: 89 MB
% 2.46/1.27  % (3648517)Instructions burned: 131 (million)
% 2.46/1.27  % (3648525)lrs+10_1_sil=8000:sp=occurrence:random_seed=526103789:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.46/1.27  % (3648516)Instruction limit reached! 
% 2.46/1.27  % (3648516)------------------------------
% 2.46/1.27  % (3648516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.46/1.27  % (3648516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.46/1.27  % (3648516)CaDiCaL version: 2.1.3
% 2.46/1.27  % (3648516)Termination reason: Instruction limit
% 2.46/1.27  % (3648516)Termination phase: Saturation
% 2.46/1.27  % (3648516)Time elapsed: 0.101 s
% 2.46/1.27  % (3648516)Peak memory usage: 90 MB
% 2.46/1.27  % (3648516)Instructions burned: 139 (million)
% 2.46/1.27  % (3648525)First to succeed.
% 2.46/1.27  % (3648525)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3648506"
% 2.46/1.27  % (3648526)lrs+10_1_sil=32000:urr=on:br=off:random_seed=646758956:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.46/1.27  % (3648526)Also succeeded, but the first one will report.
% 2.46/1.27  % (3648528)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4202933467:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.46/1.27  % (3648528)Also succeeded, but the first one will report.
% 2.46/1.27  % (3648514)------------------------------
% 3.39/1.37  % (3648514)------------------------------
% 3.39/1.37  % (3648525)Refutation found. Thanks to Tanya!
% 3.39/1.37  % SZS status Theorem for theBenchmark
% 3.39/1.37  % SZS output start Proof for theBenchmark
% See solution above
% 3.39/1.37  % (3648525)------------------------------
% 3.39/1.37  % (3648525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.39/1.37  % (3648525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.39/1.37  % (3648525)CaDiCaL version: 2.1.3
% 3.39/1.37  % (3648525)Termination reason: Refutation
% 3.39/1.37  % (3648525)Time elapsed: 0.009 s
% 3.39/1.37  % (3648525)Peak memory usage: 89 MB
% 3.39/1.37  % (3648525)Instructions burned: 24 (million)
% 3.39/1.37  % (3648525)------------------------------
% 3.39/1.37  % (3648525)------------------------------
% 3.39/1.37  % (3648506)Success in time 0.414 s
% 3.39/1.37  % Vampire exiting
%------------------------------------------------------------------------------