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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN122-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n020.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 03:39:14 PM UTC 2026

% Result   : Unsatisfiable 0.71s 6.11s
% Output   : CNFRefutation 0.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   23 (  10 unt;   0 def)
%            Number of atoms       :   50 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   57 (  30   ~;  27   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   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 (   7 usr;   3 prp; 0-3 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :   20 (   0 sgn  20   !;   0   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f14,axiom,
    ! [X0] : p0(b,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_14) ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_30) ).

fof(f31,axiom,
    m0(b,b,e),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',axiom_31) ).

fof(f163,axiom,
    ! [X0] :
      ( ~ p0(X0,X0)
      | s1(X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_125) ).

fof(f169,axiom,
    ! [X0,X1] :
      ( ~ l2(X1,X1)
      | ~ n0(e,X1)
      | ~ s1(X0)
      | l2(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_131) ).

fof(f171,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ m0(X3,X2,X0)
      | ~ s1(X2)
      | ~ p0(X1,X1)
      | l2(X0,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SYN001-0.ax',rule_133) ).

fof(f369,negated_conjecture,
    ~ l2(b,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

tcf(c_431,plain,
    ! [X0: $i] : p0(b,X0),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_447,plain,
    n0(e,e),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_448,plain,
    m0(b,b,e),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_578,plain,
    ! [X0: $i] :
      ( s1(X0)
      | ~ p0(X0,X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_584,plain,
    ! [X0: $i,X1: $i] :
      ( l2(X1,X0)
      | ~ s1(X1)
      | ~ n0(e,X0)
      | ~ l2(X0,X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_585,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( l2(X2,X2)
      | ~ s1(X1)
      | ~ p0(X3,X3)
      | ~ m0(X0,X1,X2) ),
    inference(cnf_transformation,[],[f171]) ).

tcf(c_768,negated_conjecture,
    ~ l2(b,e),
    inference(cnf_transformation,[],[f369]) ).

tcf(c_770,plain,
    p0(b,b),
    inference(instantiation,[status(thm)],[c_431]) ).

tcf(c_775,plain,
    ( s1(b)
    | ~ p0(b,b) ),
    inference(instantiation,[status(thm)],[c_578]) ).

tcf(c_1059,plain,
    ! [X0: $i] :
      ( ~ iPr_def_10
      | ~ p0(X0,X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_585]) ).

tcf(c_1060,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ iPr_def_11
      | ~ s1(X1)
      | l2(X2,X2)
      | ~ m0(X0,X1,X2) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_585]) ).

tcf(c_1061,plain,
    ( iPr_def_11
    | iPr_def_10 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_585]) ).

tcf(c_1083,plain,
    ( ~ iPr_def_10
    | ~ p0(b,b) ),
    inference(instantiation,[status(thm)],[c_1059]) ).

tcf(c_1097,plain,
    ( l2(e,e)
    | ~ iPr_def_11
    | ~ s1(b)
    | ~ m0(b,b,e) ),
    inference(instantiation,[status(thm)],[c_1060]) ).

tcf(c_1176,plain,
    ( l2(b,e)
    | ~ s1(b)
    | ~ n0(e,e)
    | ~ l2(e,e) ),
    inference(instantiation,[status(thm)],[c_584]) ).

tcf(c_1177,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_1176,c_1097,c_1083,c_1061,c_775,c_448,c_768,c_770,c_447]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN122-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.38  % Computer : n020.cluster.edu
% 0.09/5.38  % Model    : x86_64 x86_64
% 0.09/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38  % Memory   : 8046.5625MB
% 0.09/5.38  % OS       : Linux 6.8.0-71-generic
% 0.09/5.38  % CPULimit : 300
% 0.09/5.38  % WCLimit  : 300
% 0.09/5.38  % DateTime : Fri Sep 25 00:15:54 UTC 2026
% 0.09/5.38  % CPUTime  : 
% 0.09/5.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.14/5.42  Running EPR theorem proving
% 0.14/5.42  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/5.43  
% 0.14/5.43  % ======== iProver multi-core TPTP/SMT =========
% 0.14/5.43  
% 0.14/5.43  % Detected problem language: tptp
% 0.14/5.44  % Proving...
% 0.71/6.11  % SZS status Started for theBenchmark.p
% 0.71/6.11  % SZS status Unsatisfiable for theBenchmark.p
% 0.71/6.11  
% 0.71/6.11  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.71/6.11  
% 0.71/6.11  % ------  iProver source info
% 0.71/6.11  
% 0.71/6.11  % git: date: 2026-07-19 20:42:38 +0200
% 0.71/6.11  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.71/6.11  % git: non_committed_changes: false
% 0.71/6.11  
% 0.71/6.11  % ------ Parsing...% successful
% 0.71/6.11  
% 0.71/6.11  
% 0.71/6.11  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_horn
% 0.71/6.11  % 
% 0.71/6.11  
% 0.71/6.11  % ------ Preprocessing... sf_s  rm: 261 0s  sf_e  sf_s  rm: 0 0s  sf_e % 
% 0.71/6.11  
% 0.71/6.11  % ------ Preprocessing...% ------  preprocesses with Option_epr_horn
% 0.71/6.11   gs_s  sp: 14 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.71/6.11  % ------ Proving...
% 0.71/6.11  % ------ Problem Properties 
% 0.71/6.11  
% 0.71/6.11  % 
% 0.71/6.11  % clauses                               84
% 0.71/6.11  % conjectures                           1
% 0.71/6.11  % EPR                                   84
% 0.71/6.11  % Horn                                  77
% 0.71/6.11  % unary                                 43
% 0.71/6.11  % binary                                20
% 0.71/6.11  % lits                                  154
% 0.71/6.11  % lits eq                               0
% 0.71/6.11  % fd_pure                               0
% 0.71/6.11  % fd_pseudo                             0
% 0.71/6.11  % fd_cond                               0
% 0.71/6.11  % fd_pseudo_cond                        0
% 0.71/6.11  % AC symbols                            0
% 0.71/6.11  
% 0.71/6.11  % ------ Schedule EPR non Horn non eq is on
% 0.71/6.11  
% 0.71/6.11  % ------ no equalities: superposition off 
% 0.71/6.11  
% 0.71/6.11  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 0.71/6.11  
% 0.71/6.11  
% 0.71/6.11  % ------ 
% 0.71/6.11  % Current options:
% 0.71/6.11  % ------ 
% 0.71/6.11  
% 0.71/6.11  
% 0.71/6.11  % 
% 0.71/6.11  
% 0.71/6.11  % ------ Proving...
% 0.71/6.11  % 
% 0.71/6.11  
% 0.71/6.11  % SZS status Unsatisfiable for theBenchmark.p
% 0.71/6.11  
% 0.71/6.11  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.71/6.11  
% 0.71/6.11  
%------------------------------------------------------------------------------