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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO044-2 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 09:51:19 AM UTC 2026

% Result   : Unsatisfiable 8.99s 2.22s
% Output   : Refutation 8.99s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   43 (  19 unt;   0 def)
%            Number of atoms       :   95 (  19 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  100 (  48   ~;  52   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-4 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-5 aty)
%            Number of variables   :  115 ( 115   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] : equidistant(X0,X1,X1,X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).

fof(f2,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X0,X1,X4,X5)
      | ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X4,X5) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X2)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] : between(X0,X1,extension(X0,X1,X2,X3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction1) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] : equidistant(X0,extension(X1,X0,X2,X3),X2,X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( ~ equidistant(X1,X6,X3,X7)
      | ~ equidistant(X1,X4,X3,X5)
      | ~ equidistant(X0,X6,X2,X7)
      | ~ equidistant(X0,X1,X2,X3)
      | ~ between(X0,X1,X4)
      | ~ between(X2,X3,X5)
      | X0 = X1
      | equidistant(X4,X6,X5,X7) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( ~ between(X0,X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_betweeness) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( between(X1,inner_pasch(X0,X1,X2,X4,X3),X3)
      | ~ between(X3,X4,X2)
      | ~ between(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch1) ).

fof(f9,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( between(X4,inner_pasch(X0,X1,X2,X4,X3),X0)
      | ~ between(X3,X4,X2)
      | ~ between(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_pasch2) ).

fof(f19,axiom,
    between(u,v,w),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).

fof(f20,axiom,
    between(v,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).

fof(f21,axiom,
    v != w,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_not_w) ).

fof(f22,negated_conjecture,
    ~ between(u,w,x),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_w_between_u_and_x) ).

fof(f23,plain,
    ! [X2,X0,X1] : extension(X1,X0,X2,X2) = X0,
    inference(resolution,[],[f5,f3]) ).

fof(f25,plain,
    ! [X0,X1] : between(X1,X0,X0),
    inference(superposition,[],[f4,f23]) ).

fof(f28,plain,
    ! [X2,X3,X0,X1] :
      ( ~ between(X1,X0,X2)
      | ~ between(X0,X3,X2)
      | inner_pasch(X1,X0,X2,X3,X0) = X0 ),
    inference(resolution,[],[f7,f8]) ).

fof(f40,plain,
    ! [X0] :
      ( ~ between(v,X0,w)
      | v = inner_pasch(u,v,w,X0,v) ),
    inference(resolution,[],[f28,f19]) ).

fof(f41,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,extension(X2,X0,X3,X4))
      | inner_pasch(X2,X0,extension(X2,X0,X3,X4),X1,X0) = X0 ),
    inference(resolution,[],[f28,f4]) ).

fof(f51,plain,
    v = inner_pasch(u,v,w,w,v),
    inference(resolution,[],[f40,f25]) ).

fof(f54,plain,
    ( between(w,v,u)
    | ~ between(v,w,w)
    | ~ between(u,v,w) ),
    inference(superposition,[],[f9,f51]) ).

fof(f56,plain,
    ( between(w,v,u)
    | ~ between(u,v,w) ),
    inference(forward_subsumption_resolution,[],[f54,f25]) ).

fof(f57,plain,
    between(w,v,u),
    inference(forward_subsumption_resolution,[],[f56,f19]) ).

fof(f71,plain,
    ! [X2,X3,X0,X1] : inner_pasch(X0,X1,extension(X0,X1,X2,X3),extension(X0,X1,X2,X3),X1) = X1,
    inference(resolution,[],[f41,f25]) ).

fof(f81,plain,
    ! [X2,X3,X0,X1] :
      ( between(extension(X1,X0,X2,X3),X0,X1)
      | ~ between(X0,extension(X1,X0,X2,X3),extension(X1,X0,X2,X3))
      | ~ between(X1,X0,extension(X1,X0,X2,X3)) ),
    inference(superposition,[],[f9,f71]) ).

fof(f83,plain,
    ! [X2,X3,X0,X1] :
      ( between(extension(X1,X0,X2,X3),X0,X1)
      | ~ between(X1,X0,extension(X1,X0,X2,X3)) ),
    inference(forward_subsumption_resolution,[],[f81,f25]) ).

fof(f84,plain,
    ! [X2,X3,X0,X1] : between(extension(X1,X0,X2,X3),X0,X1),
    inference(forward_subsumption_resolution,[],[f83,f4]) ).

fof(f85,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,X2)
      | inner_pasch(extension(X2,X0,X3,X4),X0,X2,X1,X0) = X0 ),
    inference(resolution,[],[f84,f28]) ).

fof(f111,plain,
    ! [X2,X3,X0,X1] :
      ( ~ equidistant(X0,X1,X2,X3)
      | equidistant(X2,X3,X1,X0) ),
    inference(resolution,[],[f2,f1]) ).

fof(f114,plain,
    ! [X0,X1] : equidistant(X0,X1,X0,X1),
    inference(resolution,[],[f111,f1]) ).

fof(f157,plain,
    ! [X0,X1] : w = inner_pasch(extension(u,w,X0,X1),w,u,v,w),
    inference(resolution,[],[f85,f57]) ).

fof(f215,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ equidistant(X3,X4,X5,X4)
      | ~ equidistant(X0,X1,X0,X2)
      | ~ equidistant(X3,X0,X5,X0)
      | ~ between(X3,X0,X1)
      | ~ between(X5,X0,X2)
      | X0 = X3
      | equidistant(X1,X4,X2,X4) ),
    inference(resolution,[],[f6,f114]) ).

fof(f223,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X0,X2)
      | ~ equidistant(X3,X0,X3,X0)
      | ~ between(X3,X0,X1)
      | ~ between(X3,X0,X2)
      | X0 = X3
      | equidistant(X1,X4,X2,X4) ),
    inference(resolution,[],[f215,f114]) ).

fof(f231,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ equidistant(X0,X1,X0,X2)
      | ~ between(X3,X0,X1)
      | ~ between(X3,X0,X2)
      | X0 = X3
      | equidistant(X1,X4,X2,X4) ),
    inference(forward_subsumption_resolution,[],[f223,f114]) ).

fof(f232,plain,
    ! [X2,X3,X0,X1,X4] :
      ( ~ between(X0,X1,extension(X2,X1,X1,X3))
      | ~ between(X0,X1,X3)
      | X0 = X1
      | equidistant(extension(X2,X1,X1,X3),X4,X3,X4) ),
    inference(resolution,[],[f231,f5]) ).

fof(f756,plain,
    ! [X0,X1] :
      ( between(v,w,extension(u,w,X0,X1))
      | ~ between(w,v,u)
      | ~ between(extension(u,w,X0,X1),w,u) ),
    inference(superposition,[],[f9,f157]) ).

fof(f758,plain,
    ! [X0,X1] :
      ( between(v,w,extension(u,w,X0,X1))
      | ~ between(extension(u,w,X0,X1),w,u) ),
    inference(forward_subsumption_resolution,[],[f756,f57]) ).

fof(f759,plain,
    ! [X0,X1] : between(v,w,extension(u,w,X0,X1)),
    inference(forward_subsumption_resolution,[],[f758,f84]) ).

fof(f760,plain,
    ! [X0,X1] :
      ( ~ between(v,w,X0)
      | v = w
      | equidistant(extension(u,w,w,X0),X1,X0,X1) ),
    inference(resolution,[],[f759,f232]) ).

fof(f769,plain,
    ! [X0,X1] :
      ( equidistant(extension(u,w,w,X0),X1,X0,X1)
      | ~ between(v,w,X0) ),
    inference(forward_subsumption_resolution,[],[f760,f21]) ).

fof(f796,plain,
    ! [X0] :
      ( ~ between(v,w,X0)
      | extension(u,w,w,X0) = X0 ),
    inference(resolution,[],[f769,f3]) ).

fof(f806,plain,
    x = extension(u,w,w,x),
    inference(resolution,[],[f796,f20]) ).

fof(f815,plain,
    between(u,w,x),
    inference(superposition,[],[f4,f806]) ).

fof(f832,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f815,f22]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO044-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36  % Computer : n013.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Sun Sep 27 06:41:06 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.40  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
% 6.77/2.03  % (4063910)Input is clausal, will run a generic CNF schedule.
% 6.77/2.03  % (4063919)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1471275589:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.77/2.03  % (4063919)Instruction limit reached! 
% 6.77/2.03  % (4063919)------------------------------
% 6.77/2.03  % (4063919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/2.03  % (4063919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/2.03  % (4063919)CaDiCaL version: 2.1.3
% 6.77/2.03  % (4063919)Termination reason: Instruction limit
% 6.77/2.03  % (4063919)Termination phase: Saturation
% 6.77/2.03  % (4063919)Time elapsed: 0.033 s
% 6.77/2.03  % (4063919)Peak memory usage: 88 MB
% 6.77/2.03  % (4063919)Instructions burned: 115 (million)
% 6.77/2.03  % (4063915)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=1064612738:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.77/2.03  % (4063917)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1970399230:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.77/2.03  % (4063921)dis-21_1_sil=8000:lcm=predicate:random_seed=1356755373:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.77/2.03  % (4063916)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=867941837:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.77/2.03  % (4063918)lrs+10_1_sil=8000:sp=occurrence:random_seed=76902842:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.77/2.03  % (4063920)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1026800070:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.77/2.03  % (4063918)Instruction limit reached! 
% 6.77/2.03  % (4063918)------------------------------
% 6.77/2.03  % (4063918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/2.03  % (4063918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/2.03  % (4063918)CaDiCaL version: 2.1.3
% 6.77/2.03  % (4063918)Termination reason: Instruction limit
% 6.77/2.03  % (4063918)Termination phase: Saturation
% 6.77/2.03  % (4063918)Time elapsed: 0.069 s
% 6.77/2.03  % (4063918)Peak memory usage: 88 MB
% 6.77/2.03  % (4063918)Instructions burned: 108 (million)
% 6.77/2.03  % (4063921)Instruction limit reached! 
% 6.77/2.03  % (4063921)------------------------------
% 6.77/2.03  % (4063921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/2.03  % (4063921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/2.03  % (4063921)CaDiCaL version: 2.1.3
% 6.77/2.03  % (4063921)Termination reason: Instruction limit
% 6.77/2.03  % (4063921)Termination phase: Saturation
% 6.77/2.03  % (4063921)Time elapsed: 0.071 s
% 6.77/2.03  % (4063921)Peak memory usage: 88 MB
% 6.77/2.03  % (4063921)Instructions burned: 117 (million)
% 6.77/2.03  % (4063923)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1027457278:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.77/2.03  % (4063923)Refutation not found, incomplete strategy
% 6.77/2.03  % (4063923)------------------------------
% 6.77/2.03  % (4063923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/2.03  % (4063923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/2.03  % (4063923)CaDiCaL version: 2.1.3
% 6.77/2.03  % (4063923)Termination reason: Refutation not found, incomplete strategy
% 6.77/2.03  % (4063923)Time elapsed: 0.001 s
% 6.77/2.03  % (4063923)Peak memory usage: 88 MB
% 6.77/2.03  % (4063923)Instructions burned: 1 (million)
% 6.77/2.03  % (4063920)Instruction limit reached! 
% 6.77/2.03  % (4063920)------------------------------
% 6.77/2.03  % (4063920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/2.03  % (4063920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/2.03  % (4063920)CaDiCaL version: 2.1.3
% 6.77/2.03  % (4063920)Termination reason: Instruction limit
% 6.77/2.03  % (4063920)Termination phase: Saturation
% 6.77/2.03  % (4063920)Time elapsed: 0.122 s
% 6.77/2.03  % (4063920)Peak memory usage: 89 MB
% 6.77/2.03  % (4063920)Instructions burned: 180 (million)
% 6.77/2.03  % (4063931)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1158937418:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.77/2.03  % (4063930)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1227531008:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.77/2.03  % (4063931)Refutation not found, incomplete strategy
% 6.77/2.03  % (4063931)------------------------------
% 6.77/2.03  % (4063931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/2.03  % (4063931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/2.03  % (4063931)CaDiCaL version: 2.1.3
% 6.77/2.03  % (4063931)Termination reason: Refutation not found, incomplete strategy
% 6.77/2.03  % (4063931)Time elapsed: 0.001 s
% 6.77/2.03  % (4063931)Peak memory usage: 87 MB
% 6.77/2.03  % (4063923)------------------------------
% 6.77/2.03  % (4063923)------------------------------
% 6.77/2.03  % (4063933)lrs+10_64_to=lpo:sil=8000:random_seed=681008579:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.77/2.03  % (4063930)Instruction limit reached! 
% 6.77/2.03  % (4063930)------------------------------
% 6.77/2.03  % (4063930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/2.03  % (4063930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/2.03  % (4063930)CaDiCaL version: 2.1.3
% 6.77/2.03  % (4063930)Termination reason: Instruction limit
% 6.77/2.03  % (4063930)Termination phase: Saturation
% 6.77/2.03  % (4063930)Time elapsed: 0.107 s
% 6.77/2.03  % (4063930)Peak memory usage: 89 MB
% 6.77/2.03  % (4063930)Instructions burned: 189 (million)
% 6.77/2.03  % (4063933)Instruction limit reached! 
% 6.77/2.03  % (4063933)------------------------------
% 6.77/2.03  % (4063933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/2.03  % (4063933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/2.03  % (4063933)CaDiCaL version: 2.1.3
% 6.77/2.03  % (4063933)Termination reason: Instruction limit
% 6.77/2.03  % (4063933)Termination phase: Saturation
% 6.77/2.03  % (4063933)Time elapsed: 0.081 s
% 6.77/2.03  % (4063933)Peak memory usage: 89 MB
% 6.77/2.03  % (4063933)Instructions burned: 126 (million)
% 6.77/2.03  % (4063936)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3117725742:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.77/2.03  % (4063936)Instruction limit reached! 
% 6.77/2.03  % (4063936)------------------------------
% 6.77/2.03  % (4063936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/2.03  % (4063936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/2.03  % (4063936)CaDiCaL version: 2.1.3
% 6.77/2.03  % (4063936)Termination reason: Instruction limit
% 6.77/2.03  % (4063936)Termination phase: Saturation
% 6.77/2.03  % (4063936)Time elapsed: 0.067 s
% 6.77/2.03  % (4063936)Peak memory usage: 89 MB
% 6.77/2.03  % (4063936)Instructions burned: 194 (million)
% 6.77/2.03  % (4063931)------------------------------
% 6.77/2.03  % (4063931)------------------------------
% 6.77/2.03  % (4063938)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=84968752:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.77/2.03  % (4063939)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3567177199:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.77/2.03  % (4063942)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=289591334:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.77/2.03  % (4063942)Refutation not found, incomplete strategy
% 6.77/2.03  % (4063942)------------------------------
% 6.77/2.03  % (4063942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.77/2.03  % (4063942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.77/2.03  % (4063942)CaDiCaL version: 2.1.3
% 6.77/2.03  % (4063942)Termination reason: Refutation not found, incomplete strategy
% 6.77/2.03  % (4063942)Time elapsed: 0.001 s
% 6.77/2.03  % (4063942)Peak memory usage: 87 MB
% 6.77/2.03  % (4063941)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=853039021:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.77/2.03  % (4063938)Instruction limit reached! 
% 6.77/2.03  % (4063938)------------------------------
% 6.77/2.03  % (4063938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.22  % (4063938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.22  % (4063938)CaDiCaL version: 2.1.3
% 8.99/2.22  % (4063938)Termination reason: Instruction limit
% 8.99/2.22  % (4063938)Termination phase: Saturation
% 8.99/2.22  % (4063938)Time elapsed: 0.106 s
% 8.99/2.22  % (4063938)Peak memory usage: 90 MB
% 8.99/2.22  % (4063938)Instructions burned: 158 (million)
% 8.99/2.22  % (4063941)Instruction limit reached! 
% 8.99/2.22  % (4063941)------------------------------
% 8.99/2.22  % (4063941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.22  % (4063941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.22  % (4063941)CaDiCaL version: 2.1.3
% 8.99/2.22  % (4063941)Termination reason: Instruction limit
% 8.99/2.22  % (4063941)Termination phase: Saturation
% 8.99/2.22  % (4063941)Time elapsed: 0.062 s
% 8.99/2.22  % (4063941)Peak memory usage: 88 MB
% 8.99/2.22  % (4063941)Instructions burned: 107 (million)
% 8.99/2.22  % (4063915)First to succeed.
% 8.99/2.22  % (4063915)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4063910"
% 8.99/2.22  % (4063942)------------------------------
% 8.99/2.22  % (4063942)------------------------------
% 8.99/2.22  % (4063947)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1117559412:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.99/2.22  % (4063948)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2386425959:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 8.99/2.22  % (4063949)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2481764533:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 8.99/2.22  % (4063947)Instruction limit reached! 
% 8.99/2.22  % (4063947)------------------------------
% 8.99/2.22  % (4063947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.22  % (4063947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.22  % (4063947)CaDiCaL version: 2.1.3
% 8.99/2.22  % (4063947)Termination reason: Instruction limit
% 8.99/2.22  % (4063947)Termination phase: Saturation
% 8.99/2.22  % (4063947)Time elapsed: 0.148 s
% 8.99/2.22  % (4063947)Peak memory usage: 89 MB
% 8.99/2.22  % (4063947)Instructions burned: 243 (million)
% 8.99/2.22  % (4063949)Instruction limit reached! 
% 8.99/2.22  % (4063949)------------------------------
% 8.99/2.22  % (4063949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.22  % (4063949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.22  % (4063949)CaDiCaL version: 2.1.3
% 8.99/2.22  % (4063949)Termination reason: Instruction limit
% 8.99/2.22  % (4063949)Termination phase: Saturation
% 8.99/2.22  % (4063949)Time elapsed: 0.048 s
% 8.99/2.22  % (4063949)Peak memory usage: 89 MB
% 8.99/2.22  % (4063949)Instructions burned: 136 (million)
% 8.99/2.22  % (4063915)Refutation found. Thanks to Tanya!
% 8.99/2.22  % SZS status Unsatisfiable for theBenchmark
% 8.99/2.22  % SZS output start Proof for theBenchmark
% See solution above
% 8.99/2.22  % (4063915)------------------------------
% 8.99/2.22  % (4063915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.99/2.22  % (4063915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.99/2.22  % (4063915)CaDiCaL version: 2.1.3
% 8.99/2.22  % (4063915)Termination reason: Refutation
% 8.99/2.22  % (4063915)Time elapsed: 0.746 s
% 8.99/2.22  % (4063915)Peak memory usage: 127 MB
% 8.99/2.22  % (4063915)Instructions burned: 1091 (million)
% 8.99/2.22  % (4063915)------------------------------
% 8.99/2.22  % (4063915)------------------------------
% 8.99/2.22  % (4063910)Success in time 1.186 s
% 8.99/2.22  % Vampire exiting
%------------------------------------------------------------------------------