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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV884-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n003.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 01:19:43 PM UTC 2026

% Result   : Unsatisfiable 0.17s 1.31s
% Output   : Refutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   12 (   8   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   7 con; 0-4 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1183,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_Set_Oinsert(X0,X1,X2),X3,tc_fun(X2,tc_bool))
      | ~ c_lessequals(X1,X3,tc_fun(X2,tc_bool))
      | ~ c_in(X0,X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).

fof(f1261,axiom,
    ! [X2,X3,X0,X1,X4] :
      ( c_in(hAPP(X0,X1),c_Set_Oimage(X0,X2,X3,X4),X4)
      | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).

fof(f1264,negated_conjecture,
    c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f1267,negated_conjecture,
    c_in(v_pn,v_U,tc_Com_Opname),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1269,negated_conjecture,
    ~ c_lessequals(c_Set_Oinsert(hAPP(v_mgt__call,v_pn),v_G,t_a),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f1961,plain,
    ( ~ c_lessequals(v_G,c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),tc_fun(t_a,tc_bool))
    | ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a) ),
    inference(resolution,[],[f1269,f1183]) ).

fof(f1963,plain,
    ~ c_in(hAPP(v_mgt__call,v_pn),c_Set_Oimage(v_mgt__call,v_U,tc_Com_Opname,t_a),t_a),
    inference(forward_subsumption_resolution,[],[f1961,f1264]) ).

fof(f2131,plain,
    ~ c_in(v_pn,v_U,tc_Com_Opname),
    inference(resolution,[],[f1963,f1261]) ).

fof(f2132,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2131,f1267]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV884-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18  % Computer : n003.cluster.edu
% 0.07/0.18  % Model    : x86_64 x86_64
% 0.07/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18  % Memory   : 8046.5625MB
% 0.07/0.18  % OS       : Linux 6.8.0-71-generic
% 0.07/0.18  % CPULimit : 300
% 0.07/0.18  % WCLimit  : 300
% 0.07/0.18  % DateTime : Mon Sep 28 12:49:58 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22  Running first-order theorem proving
% 0.07/0.22  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
% 0.17/1.31  % (1560514)Input is clausal, will run a generic CNF schedule.
% 0.17/1.31  % (1560525)dis-21_1_sil=8000:lcm=predicate:random_seed=2127328137: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)
% 0.17/1.31  % (1560522)lrs+10_1_sil=8000:sp=occurrence:random_seed=2248699367:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.17/1.31  % (1560525)Instruction limit reached! 
% 0.17/1.31  % (1560525)------------------------------
% 0.17/1.31  % (1560525)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.31  % (1560525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.31  % (1560525)CaDiCaL version: 2.1.3
% 0.17/1.31  % (1560525)Termination reason: Instruction limit
% 0.17/1.31  % (1560525)Termination phase: Saturation
% 0.17/1.31  % (1560525)Time elapsed: 0.036 s
% 0.17/1.31  % (1560525)Peak memory usage: 90 MB
% 0.17/1.31  % (1560525)Instructions burned: 118 (million)
% 0.17/1.31  % (1560524)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1163336232:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.17/1.31  % (1560519)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=58148888:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.17/1.31  % (1560520)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1822135903:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.17/1.31  % (1560521)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3437340119:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.17/1.31  % (1560523)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3862781585:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.17/1.31  % (1560522)Instruction limit reached! 
% 0.17/1.31  % (1560522)------------------------------
% 0.17/1.31  % (1560522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.31  % (1560522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.31  % (1560522)CaDiCaL version: 2.1.3
% 0.17/1.31  % (1560522)Termination reason: Instruction limit
% 0.17/1.31  % (1560522)Termination phase: Saturation
% 0.17/1.31  % (1560522)Time elapsed: 0.070 s
% 0.17/1.31  % (1560522)Peak memory usage: 90 MB
% 0.17/1.31  % (1560522)Instructions burned: 108 (million)
% 0.17/1.31  % (1560523)Instruction limit reached! 
% 0.17/1.31  % (1560523)------------------------------
% 0.17/1.31  % (1560523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.31  % (1560523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.31  % (1560523)CaDiCaL version: 2.1.3
% 0.17/1.31  % (1560523)Termination reason: Instruction limit
% 0.17/1.31  % (1560523)Termination phase: Saturation
% 0.17/1.31  % (1560523)Time elapsed: 0.071 s
% 0.17/1.31  % (1560523)Peak memory usage: 89 MB
% 0.17/1.31  % (1560523)Instructions burned: 114 (million)
% 0.17/1.31  % (1560532)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=1246660948:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.17/1.31  % (1560532)First to succeed.
% 0.17/1.31  % (1560532)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1560514"
% 0.17/1.31  % (1560524)Instruction limit reached! 
% 0.17/1.31  % (1560524)------------------------------
% 0.17/1.31  % (1560524)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.31  % (1560524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.31  % (1560524)CaDiCaL version: 2.1.3
% 0.17/1.31  % (1560524)Termination reason: Instruction limit
% 0.17/1.31  % (1560524)Termination phase: Saturation
% 0.17/1.31  % (1560524)Time elapsed: 0.119 s
% 0.17/1.31  % (1560524)Peak memory usage: 90 MB
% 0.17/1.31  % (1560524)Instructions burned: 180 (million)
% 0.17/1.31  % (1560534)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=968514353: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)
% 0.17/1.31  % (1560536)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1551082486:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.17/1.31  % (1560536)Also succeeded, but the first one will report.
% 0.17/1.31  % (1560532)Refutation found. Thanks to Tanya!
% 0.17/1.31  % SZS status Unsatisfiable for theBenchmark
% 0.17/1.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.31  % (1560532)------------------------------
% 0.17/1.31  % (1560532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.31  % (1560532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.31  % (1560532)CaDiCaL version: 2.1.3
% 0.17/1.31  % (1560532)Termination reason: Refutation
% 0.17/1.31  % (1560532)Time elapsed: 0.019 s
% 0.17/1.31  % (1560532)Peak memory usage: 90 MB
% 0.17/1.31  % (1560532)Instructions burned: 55 (million)
% 0.17/1.31  % (1560532)------------------------------
% 0.17/1.31  % (1560532)------------------------------
% 0.17/1.31  % (1560514)Success in time 0.444 s
% 0.17/1.31  % Vampire exiting
%------------------------------------------------------------------------------