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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : AGT005+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n001.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 : Fri Sep 25 12:50:56 PM UTC 2026

% Result   : Theorem 4.26s 1.28s
% Output   : CNFRefutation 4.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   70 (  31 unt;   0 def)
%            Number of atoms       :  162 (  20 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  166 (  74   ~;  72   |;  16   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    8 (   6 usr;   1 prp; 0-4 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :   93 (   0 sgn  93   !;   0   ?;  40   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1,X2,X3] :
      ( accept_team(X0,X3,X1,X2)
    <=> ( accept_number(X0,X2)
        & accept_leader(X0,X3)
        & accept_city(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ( less(X2,X1)
        & accept_number(X0,X1) )
     => accept_number(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_2) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( the_agent_in_all_proposed_teams(X0,X1,X2)
     => ( accept_city(X0,X2)
        & accept_leader(X0,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+0.ax',a1_4) ).

fof(f46,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_26) ).

fof(f59,axiom,
    accept_team(countryccivilorganization,countrycmedicalorganization,towna,n4),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_39) ).

fof(f61,axiom,
    the_agent_in_all_proposed_teams(countryccivilorganization,countryacivilorganization,towna),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_41) ).

fof(f113,axiom,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_93) ).

fof(f160,axiom,
    accept_number(christiansufferterrahumanitarianorganization,n6),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_140) ).

fof(f235,axiom,
    accept_number(countryccivilorganization,n3),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_215) ).

fof(f239,axiom,
    ~ accept_team(countryccivilorganization,countrycmedicalorganization,towna,n6),
    file('/export/starexec/sandbox/benchmark/Axioms/AGT001+1.ax',event_219) ).

fof(f553,axiom,
    ! [X0,X1] :
      ( less(X0,X1)
    <=> ( X1 != X0
        & ~ less(X1,X0) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/NUM005+1.ax',less_property) ).

fof(f556,conjecture,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query_5) ).

fof(f557,negated_conjecture,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    inference(negated_conjecture,[status(cth)],[f556]) ).

fof(f558,plain,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    inference(flattening,[],[f557]) ).

fof(f563,plain,
    ! [X0,X1,X2] :
      ( ~ less(X2,X1)
      | ~ accept_number(X0,X1)
      | accept_number(X0,X2) ),
    inference(ennf_transformation,[],[f2]) ).

fof(f564,plain,
    ! [X0,X1,X2] :
      ( ~ less(X2,X1)
      | ~ accept_number(X0,X1)
      | accept_number(X0,X2) ),
    inference(flattening,[],[f563]) ).

fof(f567,plain,
    ! [X0,X1,X2] :
      ( ~ the_agent_in_all_proposed_teams(X0,X1,X2)
      | ( accept_city(X0,X2)
        & accept_leader(X0,X1) ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f585,plain,
    ! [X0,X1,X2,X3] :
      ( ( ~ accept_team(X0,X3,X1,X2)
        | ( accept_number(X0,X2)
          & accept_leader(X0,X3)
          & accept_city(X0,X1) ) )
      & ( ~ accept_number(X0,X2)
        | ~ accept_leader(X0,X3)
        | ~ accept_city(X0,X1)
        | accept_team(X0,X3,X1,X2) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f586,plain,
    ! [X0,X1,X2,X3] :
      ( ( ~ accept_team(X0,X3,X1,X2)
        | ( accept_number(X0,X2)
          & accept_leader(X0,X3)
          & accept_city(X0,X1) ) )
      & ( ~ accept_number(X0,X2)
        | ~ accept_leader(X0,X3)
        | ~ accept_city(X0,X1)
        | accept_team(X0,X3,X1,X2) ) ),
    inference(flattening,[],[f585]) ).

fof(f613,plain,
    ! [X0,X1] :
      ( ( ~ less(X0,X1)
        | ( X1 != X0
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | less(X0,X1) ) ),
    inference(nnf_transformation,[],[f553]) ).

fof(f614,plain,
    ! [X0,X1] :
      ( ( ~ less(X0,X1)
        | ( X1 != X0
          & ~ less(X1,X0) ) )
      & ( X0 = X1
        | less(X1,X0)
        | less(X0,X1) ) ),
    inference(flattening,[],[f613]) ).

fof(f616,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_team(X0,X3,X1,X2)
      | accept_leader(X0,X3) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f617,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_team(X0,X3,X1,X2)
      | accept_city(X0,X1) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f618,plain,
    ! [X2,X3,X0,X1] :
      ( ~ accept_number(X0,X2)
      | ~ accept_leader(X0,X3)
      | ~ accept_city(X0,X1)
      | accept_team(X0,X3,X1,X2) ),
    inference(cnf_transformation,[],[f586]) ).

fof(f619,plain,
    ! [X2,X0,X1] :
      ( ~ less(X2,X1)
      | ~ accept_number(X0,X1)
      | accept_number(X0,X2) ),
    inference(cnf_transformation,[],[f564]) ).

fof(f621,plain,
    ! [X2,X0,X1] :
      ( ~ the_agent_in_all_proposed_teams(X0,X1,X2)
      | accept_city(X0,X2) ),
    inference(cnf_transformation,[],[f567]) ).

fof(f728,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    inference(cnf_transformation,[],[f46]) ).

fof(f741,plain,
    accept_team(countryccivilorganization,countrycmedicalorganization,towna,n4),
    inference(cnf_transformation,[],[f59]) ).

fof(f743,plain,
    the_agent_in_all_proposed_teams(countryccivilorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f61]) ).

fof(f795,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    inference(cnf_transformation,[],[f113]) ).

fof(f842,plain,
    accept_number(christiansufferterrahumanitarianorganization,n6),
    inference(cnf_transformation,[],[f160]) ).

fof(f917,plain,
    accept_number(countryccivilorganization,n3),
    inference(cnf_transformation,[],[f235]) ).

fof(f921,plain,
    ~ accept_team(countryccivilorganization,countrycmedicalorganization,towna,n6),
    inference(cnf_transformation,[],[f239]) ).

fof(f1237,plain,
    ! [X0,X1] :
      ( X0 = X1
      | less(X1,X0)
      | less(X0,X1) ),
    inference(cnf_transformation,[],[f614]) ).

fof(f1238,plain,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    inference(cnf_transformation,[],[f558]) ).

tcf(c_49,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( accept_team(X0,X2,X1,X3)
      | ~ accept_number(X0,X3)
      | ~ accept_leader(X0,X2)
      | ~ accept_city(X0,X1) ),
    inference(cnf_transformation,[],[f618]) ).

tcf(c_50,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( accept_city(X0,X2)
      | ~ accept_team(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f617]) ).

tcf(c_51,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( accept_leader(X0,X1)
      | ~ accept_team(X0,X1,X2,X3) ),
    inference(cnf_transformation,[],[f616]) ).

tcf(c_53,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( accept_number(X0,X2)
      | ~ less(X2,X1)
      | ~ accept_number(X0,X1) ),
    inference(cnf_transformation,[],[f619]) ).

tcf(c_56,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( accept_city(X0,X2)
      | ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(cnf_transformation,[],[f621]) ).

tcf(c_162,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryacivilorganization,towna,n6),
    inference(cnf_transformation,[],[f728]) ).

tcf(c_175,plain,
    accept_team(countryccivilorganization,countrycmedicalorganization,towna,n4),
    inference(cnf_transformation,[],[f741]) ).

tcf(c_177,plain,
    the_agent_in_all_proposed_teams(countryccivilorganization,countryacivilorganization,towna),
    inference(cnf_transformation,[],[f743]) ).

tcf(c_229,plain,
    accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,coastvillage,n6),
    inference(cnf_transformation,[],[f795]) ).

tcf(c_276,plain,
    accept_number(christiansufferterrahumanitarianorganization,n6),
    inference(cnf_transformation,[],[f842]) ).

tcf(c_351,plain,
    accept_number(countryccivilorganization,n3),
    inference(cnf_transformation,[],[f917]) ).

tcf(c_355,plain,
    ~ accept_team(countryccivilorganization,countrycmedicalorganization,towna,n6),
    inference(cnf_transformation,[],[f921]) ).

tcf(c_669,plain,
    ! [X0: $i,X1: $i] :
      ( less(X1,X0)
      | less(X0,X1)
      | ( X0 = X1 ) ),
    inference(cnf_transformation,[],[f1237]) ).

tcf(c_672,negated_conjecture,
    ~ accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3),
    inference(cnf_transformation,[],[f1238]) ).

tcf(c_777,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ the_agent_in_all_proposed_teams(X0,X1,X2)
      | accept_city(X0,X2) ),
    inference(prop_impl_just,[status(thm)],[c_56]) ).

tcf(c_778,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( accept_city(X0,X2)
      | ~ the_agent_in_all_proposed_teams(X0,X1,X2) ),
    inference(renaming,[status(thm)],[c_777]) ).

tcf(c_1544,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( accept_city(X0,X2)
      | ( X2 != towna )
      | ( X1 != countryacivilorganization )
      | ( X0 != countryccivilorganization ) ),
    inference(resolution_lifted,[status(thm)],[c_778,c_177]) ).

tcf(c_1545,plain,
    accept_city(countryccivilorganization,towna),
    inference(unflattening,[status(thm)],[c_1544]) ).

tcf(c_3636,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( accept_number(X0,X2)
      | ~ accept_number(X1,X3)
      | ( X2 != X3 )
      | ( X0 != X1 ) ),
    theory(equality) ).

tcf(c_3977,plain,
    ( accept_team(christiansufferterrahumanitarianorganization,countryafirstaidorganization,towna,n3)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n3)
    | ~ accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization)
    | ~ accept_city(christiansufferterrahumanitarianorganization,towna) ),
    inference(instantiation,[status(thm)],[c_49]) ).

tcf(c_3983,plain,
    ! [X0: $i,X1: $i] :
      ( accept_number(christiansufferterrahumanitarianorganization,n3)
      | ~ accept_number(X1,X0)
      | ( christiansufferterrahumanitarianorganization != X1 )
      | ( n3 != X0 ) ),
    inference(instantiation,[status(thm)],[c_3636]) ).

tcf(c_3984,plain,
    ! [X0: $i] :
      ( accept_number(christiansufferterrahumanitarianorganization,n3)
      | ~ less(n3,X0)
      | ~ accept_number(christiansufferterrahumanitarianorganization,X0) ),
    inference(instantiation,[status(thm)],[c_53]) ).

tcf(c_3985,plain,
    ( accept_number(christiansufferterrahumanitarianorganization,n3)
    | ~ less(n3,n6)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n6) ),
    inference(instantiation,[status(thm)],[c_3984]) ).

tcf(c_4639,plain,
    accept_leader(countryccivilorganization,countrycmedicalorganization),
    inference(superposition,[status(thm)],[c_175,c_51]) ).

tcf(c_4666,plain,
    accept_leader(christiansufferterrahumanitarianorganization,countryafirstaidorganization),
    inference(superposition,[status(thm)],[c_229,c_51]) ).

tcf(c_4751,plain,
    accept_city(christiansufferterrahumanitarianorganization,towna),
    inference(superposition,[status(thm)],[c_162,c_50]) ).

tcf(c_4944,plain,
    ! [X0: $i] :
      ( accept_number(countryccivilorganization,X0)
      | ~ less(X0,n3) ),
    inference(superposition,[status(thm)],[c_351,c_53]) ).

tcf(c_5105,plain,
    ( accept_number(countryccivilorganization,n6)
    | ~ less(n6,n3) ),
    inference(instantiation,[status(thm)],[c_4944]) ).

tcf(c_6734,plain,
    ! [X0: $i] :
      ( accept_number(christiansufferterrahumanitarianorganization,n3)
      | ~ accept_number(christiansufferterrahumanitarianorganization,X0)
      | ( christiansufferterrahumanitarianorganization != christiansufferterrahumanitarianorganization )
      | ( n3 != X0 ) ),
    inference(instantiation,[status(thm)],[c_3983]) ).

tcf(c_6735,plain,
    ! [X0: $i] :
      ( accept_number(christiansufferterrahumanitarianorganization,n3)
      | ~ accept_number(christiansufferterrahumanitarianorganization,X0)
      | ( n3 != X0 ) ),
    inference(equality_resolution_simp,[status(thm)],[c_6734]) ).

tcf(c_6736,plain,
    ( accept_number(christiansufferterrahumanitarianorganization,n3)
    | ~ accept_number(christiansufferterrahumanitarianorganization,n6)
    | ( n3 != n6 ) ),
    inference(instantiation,[status(thm)],[c_6735]) ).

tcf(c_9315,plain,
    ( ~ accept_number(countryccivilorganization,n6)
    | ~ accept_leader(countryccivilorganization,countrycmedicalorganization)
    | ~ accept_city(countryccivilorganization,towna) ),
    inference(superposition,[status(thm)],[c_49,c_355]) ).

tcf(c_10434,plain,
    ! [X0: $i] :
      ( less(n3,X0)
      | less(X0,n3)
      | ( n3 = X0 ) ),
    inference(instantiation,[status(thm)],[c_669]) ).

tcf(c_10435,plain,
    ( less(n6,n3)
    | less(n3,n6)
    | ( n3 = n6 ) ),
    inference(instantiation,[status(thm)],[c_10434]) ).

tcf(c_10436,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_10435,c_9315,c_6736,c_5105,c_4751,c_4639,c_4666,c_3985,c_3977,c_1545,c_672,c_276]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : AGT005+1 : TPTP v9.3.1. Bugfixed v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.36  % Computer : n001.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Fri Sep 25 04:26:54 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.36  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.40  Running first-order theorem proving
% 0.13/0.40  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.41  
% 0.13/0.41  % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41  
% 0.13/0.41  % Detected problem language: tptp
% 0.13/0.42  % Proving...
% 4.26/1.28  % SZS status Started for theBenchmark.p
% 4.26/1.28  % SZS status Theorem for theBenchmark.p
% 4.26/1.28  
% 4.26/1.28  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.26/1.28  
% 4.26/1.28  % ------  iProver source info
% 4.26/1.28  
% 4.26/1.28  % git: date: 2026-07-19 20:42:38 +0200
% 4.26/1.28  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.26/1.28  % git: non_committed_changes: false
% 4.26/1.28  
% 4.26/1.28  % ------ Parsing...
% 4.26/1.28  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.26/1.28  
% 4.26/1.28  % ------ Preprocessing... sup_sim: 0  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  pe_s  pe_e % 
% 4.26/1.28  
% 4.26/1.28  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  scvd_s sp: 4 0s scvd_e  snvd_s sp: 0 0s snvd_e % 
% 4.26/1.28  
% 4.26/1.28  % ------ Preprocessing...
% 4.26/1.28  % ------ Proving...
% 4.26/1.28  % ------ Problem Properties 
% 4.26/1.28  
% 4.26/1.28  % 
% 4.26/1.28  % clauses                               618
% 4.26/1.28  % conjectures                           1
% 4.26/1.28  % EPR                                   332
% 4.26/1.28  % Horn                                  616
% 4.26/1.28  % unary                                 519
% 4.26/1.28  % binary                                75
% 4.26/1.28  % lits                                  781
% 4.26/1.28  % lits eq                               1
% 4.26/1.29  % fd_pure                               0
% 4.26/1.29  % fd_pseudo                             0
% 4.26/1.29  % fd_cond                               0
% 4.26/1.29  % fd_pseudo_cond                        1
% 4.26/1.29  % AC symbols                            0
% 4.26/1.29  
% 4.26/1.29  % ------ Input Options Time Limit: Unbounded
% 4.26/1.29  
% 4.26/1.29  
% 4.26/1.29  % ------ 
% 4.26/1.29  % Current options:
% 4.26/1.29  % ------ 
% 4.26/1.29  
% 4.26/1.29  
% 4.26/1.29  % 
% 4.26/1.29  
% 4.26/1.29  % ------ Proving...
% 4.26/1.29  % 
% 4.26/1.29  
% 4.26/1.29  % SZS status Theorem for theBenchmark.p
% 4.26/1.29  
% 4.26/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.26/1.29  
% 4.26/1.29  
%------------------------------------------------------------------------------