↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW474+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% 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 01:40:11 PM UTC 2026

% Result   : Theorem 12.52s 2.07s
% Output   : Refutation 12.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   48 (  28 unt;   0 def)
%            Number of atoms       :   85 (  19 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   78 (  41   ~;  30   |;   0   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   41 (  41 usr;  19 con; 0-2 aty)
%            Number of variables   :   46 (  46   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f83,axiom,
    ! [X0] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_empty) ).

fof(f87,axiom,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2))
     => ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
       => hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_cut) ).

fof(f149,axiom,
    ! [X0] :
      ( hBOOL(hoare_1795711768gleton)
     => ( hBOOL(wT_bodies)
       => ( hBOOL(hAPP_com_bool(wt,X0))
         => hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_MGF) ).

fof(f323,axiom,
    ! [X0] : hAPP_f806699093e_bool(collec637225377_state,X0) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_240_Collect__def) ).

fof(f378,axiom,
    ! [X0] : hAPP_f806699093e_bool(collec637225377_state,hAPP_H216526335e_bool(fequal1440809015_state,X0)) = hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_295_singleton__conv2) ).

fof(f380,axiom,
    ! [X0,X1] :
      ( hBOOL(wT_bodies)
     => ( hAPP_p799580910on_com(body,X0) = hAPP_com_option_com(some_com,X1)
       => hBOOL(hAPP_com_bool(wt,X1)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_297_WT__bodiesD) ).

fof(f645,axiom,
    ! [X0] : set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X0)) = hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_562_Option_Oset_Osimps_I2_J) ).

fof(f1201,axiom,
    ! [X0] : dom_pname_com(X0) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),X0)),none_com))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1118_dom__def) ).

fof(f1434,axiom,
    hBOOL(hoare_1795711768gleton),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).

fof(f1435,axiom,
    hBOOL(wT_bodies),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).

fof(f1439,axiom,
    hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_5) ).

fof(f1441,conjecture,
    hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_7) ).

fof(f1442,negated_conjecture,
    ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    inference(negated_conjecture,[status(cth)],[f1441]) ).

fof(f1454,plain,
    ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    inference(flattening,[],[f1442]) ).

fof(f1480,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
    inference(ennf_transformation,[],[f87]) ).

fof(f1481,plain,
    ! [X0,X1,X2] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
    inference(flattening,[],[f1480]) ).

fof(f1550,plain,
    ! [X0] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1795711768gleton) ),
    inference(ennf_transformation,[],[f149]) ).

fof(f1551,plain,
    ! [X0] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool)))
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hoare_1795711768gleton) ),
    inference(flattening,[],[f1550]) ).

fof(f1721,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
      | ~ hBOOL(wT_bodies) ),
    inference(ennf_transformation,[],[f380]) ).

fof(f1722,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
      | ~ hBOOL(wT_bodies) ),
    inference(flattening,[],[f1721]) ).

fof(f2628,plain,
    ! [X0] : hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),bot_bo784226126e_bool)),
    inference(cnf_transformation,[],[f83]) ).

fof(f2632,plain,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X2))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),X1))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X1),X2)) ),
    inference(cnf_transformation,[],[f1481]) ).

fof(f2703,plain,
    ! [X0] :
      ( ~ hBOOL(hoare_1795711768gleton)
      | ~ hBOOL(wT_bodies)
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ),
    inference(cnf_transformation,[],[f1551]) ).

fof(f2971,plain,
    ! [X0] : hAPP_f806699093e_bool(collec637225377_state,X0) = X0,
    inference(cnf_transformation,[],[f323]) ).

fof(f3050,plain,
    ! [X0] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool) = hAPP_f806699093e_bool(collec637225377_state,hAPP_H216526335e_bool(fequal1440809015_state,X0)),
    inference(cnf_transformation,[],[f378]) ).

fof(f3054,plain,
    ! [X0,X1] :
      ( ~ hBOOL(wT_bodies)
      | hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1)
      | hBOOL(hAPP_com_bool(wt,X1)) ),
    inference(cnf_transformation,[],[f1722]) ).

fof(f3595,plain,
    ! [X0] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool) = set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X0)),
    inference(cnf_transformation,[],[f645]) ).

fof(f4490,plain,
    ! [X0] : dom_pname_com(X0) = hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),X0)),none_com))),
    inference(cnf_transformation,[],[f1201]) ).

fof(f4760,plain,
    hBOOL(hoare_1795711768gleton),
    inference(cnf_transformation,[],[f1434]) ).

fof(f4761,plain,
    hBOOL(wT_bodies),
    inference(cnf_transformation,[],[f1435]) ).

fof(f4765,plain,
    hAPP_p799580910on_com(body,pn) = hAPP_com_option_com(some_com,y),
    inference(cnf_transformation,[],[f1439]) ).

fof(f4767,plain,
    ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),dom_pname_com(body))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    inference(cnf_transformation,[],[f1454]) ).

fof(f4790,plain,
    ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com))))),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))),
    inference(definition_unfolding,[],[f4767,f4490]) ).

fof(f6441,plain,
    ! [X0] : hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,X0),bot_bo784226126e_bool) = hAPP_H216526335e_bool(fequal1440809015_state,X0),
    inference(forward_demodulation,[],[f3050,f2971]) ).

fof(f6442,plain,
    ! [X0] : hAPP_H216526335e_bool(fequal1440809015_state,X0) = set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,X0)),
    inference(superposition,[],[f6441,f3595]) ).

fof(f7842,plain,
    ! [X0,X1] :
      ( hBOOL(hAPP_com_bool(wt,X1))
      | hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,X1) ),
    inference(forward_subsumption_resolution,[],[f3054,f4761]) ).

fof(f9448,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com))))),X0))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)),bot_bo784226126e_bool))) ),
    inference(resolution,[],[f2632,f4790]) ).

fof(f9468,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)))))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com))))),X0)) ),
    inference(forward_demodulation,[],[f9448,f3595]) ).

fof(f9469,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(hAPP_f360545851e_bool(image_185131637_state(hAPP_f1377420673_state(cOMBB_271860050_pname(hoare_Mirabelle_MGT),body_1)),hAPP_f759274231e_bool(collect_pname,hAPP_f759274231e_bool(cOMBB_647938656_pname(fNot),hAPP_o1092643708e_bool(hAPP_f837293113e_bool(cOMBC_1381995473m_bool,hAPP_f919496731m_bool(cOMBB_418828222_pname(fequal_option_com),body)),none_com))))),X0))
      | ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(X0),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)))) ),
    inference(forward_demodulation,[],[f9468,f6442]) ).

fof(f9473,plain,
    ~ hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,y)))),
    inference(resolution,[],[f9469,f2628]) ).

fof(f18461,plain,
    ! [X0] :
      ( ~ hBOOL(wT_bodies)
      | ~ hBOOL(hAPP_com_bool(wt,X0))
      | hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ),
    inference(forward_subsumption_resolution,[],[f2703,f4760]) ).

fof(f18462,plain,
    ! [X0] :
      ( ~ hBOOL(hAPP_com_bool(wt,X0))
      | hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_f806699093e_bool(hAPP_H1902130436e_bool(insert1744391420_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)),bot_bo784226126e_bool))) ),
    inference(forward_subsumption_resolution,[],[f18461,f4761]) ).

fof(f18463,plain,
    ! [X0] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),set_Ho1741238126_state(hAPP_H1633077406_state(some_H1043067815_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0)))))
      | ~ hBOOL(hAPP_com_bool(wt,X0)) ),
    inference(forward_demodulation,[],[f18462,f3595]) ).

fof(f18464,plain,
    ! [X0] :
      ( hBOOL(hAPP_f1378282496l_bool(hoare_512830354_state(bot_bo784226126e_bool),hAPP_H216526335e_bool(fequal1440809015_state,hAPP_c1455475371_state(hoare_Mirabelle_MGT,X0))))
      | ~ hBOOL(hAPP_com_bool(wt,X0)) ),
    inference(forward_demodulation,[],[f18463,f6442]) ).

fof(f18470,plain,
    ~ hBOOL(hAPP_com_bool(wt,y)),
    inference(resolution,[],[f18464,f9473]) ).

fof(f18476,plain,
    ! [X0] : hAPP_p799580910on_com(body,X0) != hAPP_com_option_com(some_com,y),
    inference(resolution,[],[f18470,f7842]) ).

fof(f18529,plain,
    hAPP_com_option_com(some_com,y) != hAPP_com_option_com(some_com,y),
    inference(superposition,[],[f18476,f4765]) ).

fof(f18530,plain,
    $false,
    inference(trivial_inequality_removal,[],[f18529]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW474+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 14:09:12 UTC 2026
% 0.07/0.18  % CPUTime  : 
% 0.07/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21  Running first-order model finding
% 0.07/0.21  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
% 12.52/2.07  % (1603454)Will run a generic schedule for satisfiability detection.
% 12.52/2.07  % (1603465)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4122569918:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 12.52/2.07  % (1603460)% WARNING: option uhcvi not known.
% 12.52/2.07  % (1603461)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3571096898:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 12.52/2.07  % (1603462)dis+10_1_sil=32000:sp=arity:random_seed=1100934049:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 12.52/2.07  % (1603460)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=41391201:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 12.52/2.07  % (1603463)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1238646589:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 12.52/2.07  % (1603459)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2243822658_2999 on theBenchmark for (2999ds/0Mi)
% 12.52/2.07  % (1603464)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=689736112:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 12.52/2.07  % (1603465)Instruction limit reached! 
% 12.52/2.07  % (1603465)------------------------------
% 12.52/2.07  % (1603465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603465)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603465)Termination reason: Instruction limit
% 12.52/2.07  % (1603465)Termination phase: Saturation
% 12.52/2.07  % (1603465)Time elapsed: 0.045 s
% 12.52/2.07  % (1603465)Peak memory usage: 16 MB
% 12.52/2.07  % (1603465)Instructions burned: 162 (million)
% 12.52/2.07  % (1603462)Instruction limit reached! 
% 12.52/2.07  % (1603462)------------------------------
% 12.52/2.07  % (1603462)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603462)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603462)Termination reason: Instruction limit
% 12.52/2.07  % (1603462)Termination phase: Property scanning
% 12.52/2.07  % (1603462)Time elapsed: 0.050 s
% 12.52/2.07  % (1603462)Peak memory usage: 14 MB
% 12.52/2.07  % (1603462)Instructions burned: 105 (million)
% 12.52/2.07  % (1603473)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=682242866:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 12.52/2.07  % (1603464)Instruction limit reached! 
% 12.52/2.07  % (1603464)------------------------------
% 12.52/2.07  % (1603464)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603464)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603464)Termination reason: Instruction limit
% 12.52/2.07  % (1603464)Termination phase: Saturation
% 12.52/2.07  % (1603464)Time elapsed: 0.064 s
% 12.52/2.07  % (1603464)Peak memory usage: 15 MB
% 12.52/2.07  % (1603464)Instructions burned: 132 (million)
% 12.52/2.07  % (1603475)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3061708307:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 12.52/2.07  % (1603463)Instruction limit reached! 
% 12.52/2.07  % (1603463)------------------------------
% 12.52/2.07  % (1603463)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603463)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603463)Termination reason: Instruction limit
% 12.52/2.07  % (1603463)Termination phase: Blocked clause elimination
% 12.52/2.07  % (1603463)Time elapsed: 0.072 s
% 12.52/2.07  % (1603463)Peak memory usage: 14 MB
% 12.52/2.07  % (1603463)Instructions burned: 116 (million)
% 12.52/2.07  % (1603476)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=3939342814:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 12.52/2.07  % (1603478)ott-21_1_sil=16000:fs=off:random_seed=3165538512:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.52/2.07  % (1603475)Instruction limit reached! 
% 12.52/2.07  % (1603475)------------------------------
% 12.52/2.07  % (1603475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603475)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603475)Termination reason: Instruction limit
% 12.52/2.07  % (1603475)Termination phase: Blocked clause elimination
% 12.52/2.07  % (1603475)Time elapsed: 0.080 s
% 12.52/2.07  % (1603475)Peak memory usage: 14 MB
% 12.52/2.07  % (1603475)Instructions burned: 131 (million)
% 12.52/2.07  % (1603483)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=735457743:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 12.52/2.07  % (1603478)Instruction limit reached! 
% 12.52/2.07  % (1603478)------------------------------
% 12.52/2.07  % (1603478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603478)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603478)Termination reason: Instruction limit
% 12.52/2.07  % (1603478)Termination phase: Saturation
% 12.52/2.07  % (1603478)Time elapsed: 0.084 s
% 12.52/2.07  % (1603478)Peak memory usage: 15 MB
% 12.52/2.07  % (1603478)Instructions burned: 180 (million)
% 12.52/2.07  % (1603496)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3737039747:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 12.52/2.07  % (1603473)Instruction limit reached! 
% 12.52/2.07  % (1603473)------------------------------
% 12.52/2.07  % (1603473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603473)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603473)Termination reason: Instruction limit
% 12.52/2.07  % (1603473)Termination phase: Finite model building preprocessing
% 12.52/2.07  % (1603473)Time elapsed: 0.181 s
% 12.52/2.07  % (1603473)Peak memory usage: 24 MB
% 12.52/2.07  % (1603473)Instructions burned: 717 (million)
% 12.52/2.07  % (1603510)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=314460855:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 12.52/2.07  % (1603483)Instruction limit reached! 
% 12.52/2.07  % (1603483)------------------------------
% 12.52/2.07  % (1603483)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603483)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603483)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603483)Termination reason: Instruction limit
% 12.52/2.07  % (1603483)Termination phase: Saturation
% 12.52/2.07  % (1603483)Time elapsed: 0.265 s
% 12.52/2.07  % (1603483)Peak memory usage: 17 MB
% 12.52/2.07  % (1603483)Instructions burned: 478 (million)
% 12.52/2.07  % (1603476)Instruction limit reached! 
% 12.52/2.07  % (1603476)------------------------------
% 12.52/2.07  % (1603476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603476)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603476)Termination reason: Instruction limit
% 12.52/2.07  % (1603476)Termination phase: Saturation
% 12.52/2.07  % (1603476)Time elapsed: 0.351 s
% 12.52/2.07  % (1603476)Peak memory usage: 19 MB
% 12.52/2.07  % (1603476)Instructions burned: 686 (million)
% 12.52/2.07  % (1603571)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=694679937:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 12.52/2.07  % (1603573)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=3098491263: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)
% 12.52/2.07  % (1603510)Instruction limit reached! 
% 12.52/2.07  % (1603510)------------------------------
% 12.52/2.07  % (1603510)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603510)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603510)Termination reason: Instruction limit
% 12.52/2.07  % (1603510)Termination phase: Saturation
% 12.52/2.07  % (1603510)Time elapsed: 0.386 s
% 12.52/2.07  % (1603510)Peak memory usage: 28 MB
% 12.52/2.07  % (1603510)Instructions burned: 1180 (million)
% 12.52/2.07  % (1603496)Instruction limit reached! 
% 12.52/2.07  % (1603496)------------------------------
% 12.52/2.07  % (1603496)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603496)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603496)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603496)Termination reason: Instruction limit
% 12.52/2.07  % (1603496)Termination phase: Finite model building preprocessing
% 12.52/2.07  % (1603496)Time elapsed: 0.433 s
% 12.52/2.07  % (1603496)Peak memory usage: 27 MB
% 12.52/2.07  % (1603496)Instructions burned: 866 (million)
% 12.52/2.07  % (1603614)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3799339756:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 12.52/2.07  % (1603618)fmb+10_1_sil=64000:random_seed=1118351825:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 12.52/2.07  % TRYING [1]
% 12.52/2.07  % TRYING [2]
% 12.52/2.07  % (1603573)Instruction limit reached! 
% 12.52/2.07  % (1603573)------------------------------
% 12.52/2.07  % (1603573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603573)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603573)Termination reason: Instruction limit
% 12.52/2.07  % (1603573)Termination phase: Saturation
% 12.52/2.07  % (1603573)Time elapsed: 0.411 s
% 12.52/2.07  % (1603573)Peak memory usage: 25 MB
% 12.52/2.07  % (1603573)Instructions burned: 692 (million)
% 12.52/2.07  % (1603625)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=4023428455:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 12.52/2.07  % (1603571)Instruction limit reached! 
% 12.52/2.07  % (1603571)------------------------------
% 12.52/2.07  % (1603571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603571)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603571)Termination reason: Instruction limit
% 12.52/2.07  % (1603571)Termination phase: Finite model building preprocessing
% 12.52/2.07  % (1603571)Time elapsed: 0.482 s
% 12.52/2.07  % (1603571)Peak memory usage: 27 MB
% 12.52/2.07  % (1603571)Instructions burned: 890 (million)
% 12.52/2.07  % (1603627)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1395070898:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 12.52/2.07  % (1603614)Instruction limit reached! 
% 12.52/2.07  % (1603614)------------------------------
% 12.52/2.07  % (1603614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603614)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603614)Termination reason: Instruction limit
% 12.52/2.07  % (1603614)Termination phase: Saturation
% 12.52/2.07  % (1603614)Time elapsed: 0.441 s
% 12.52/2.07  % (1603614)Peak memory usage: 23 MB
% 12.52/2.07  % (1603614)Instructions burned: 879 (million)
% 12.52/2.07  % TRYING [3]
% 12.52/2.07  % (1603637)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=276158396:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 12.52/2.07  % (1603627)Instruction limit reached! 
% 12.52/2.07  % (1603627)------------------------------
% 12.52/2.07  % (1603627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.07  % (1603627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.07  % (1603627)CaDiCaL version: 2.1.3
% 12.52/2.07  % (1603627)Termination reason: Instruction limit
% 12.52/2.07  % (1603627)Termination phase: Finite model building preprocessing
% 12.52/2.07  % (1603627)Time elapsed: 0.461 s
% 12.52/2.07  % (1603627)Peak memory usage: 27 MB
% 12.52/2.07  % (1603627)Instructions burned: 922 (million)
% 12.52/2.07  % (1603648)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3384051869:i=1472:ins=7:fdi=8:gsp=on_2985 on theBenchmark for (2985ds/1472Mi)
% 12.52/2.07  % TRYING [1]
% 12.52/2.07  % TRYING [2]
% 12.52/2.07  % (1603637) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1603454-1603637"...
% 12.52/2.07  % (1603637)...printing done.
% 12.52/2.07  % (1603637)Refutation found. Thanks to Tanya!
% 12.52/2.07  % SZS status Theorem for theBenchmark
% 12.52/2.07  % SZS output start Proof for theBenchmark
% See solution above
% 12.52/2.08  % (1603637)------------------------------
% 12.52/2.08  % (1603637)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.52/2.08  % (1603637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.52/2.08  % (1603637)CaDiCaL version: 2.1.3
% 12.52/2.08  % (1603637)Termination reason: Refutation
% 12.52/2.08  % (1603637)Time elapsed: 0.609 s
% 12.52/2.08  % (1603637)Peak memory usage: 22 MB
% 12.52/2.08  % (1603637)Instructions burned: 861 (million)
% 12.52/2.08  % (1603454)Success in time 1.857 s
% 12.52/2.08  % Vampire exiting
%------------------------------------------------------------------------------