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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP130-3.003 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p 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 : Fri Sep 25 01:31:29 PM UTC 2026

% Result   : Unsatisfiable 1.77s 21.25s
% Output   : CNFRefutation 1.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   91 (  15 unt;   0 def)
%            Number of atoms       :  260 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  324 ( 155   ~; 169   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 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  :    4 (   3 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   92 (   0 sgn  92   !;   0   ?;  74   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f17,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).

fof(f18,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).

fof(f19,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).

fof(f20,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

fof(f22,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

fof(f23,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

fof(f25,axiom,
    ~ equalish(e_3,e_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).

fof(f26,axiom,
    ! [X0,X1] :
      ( product(X0,X1,e_3)
      | product(X0,X1,e_2)
      | product(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).

fof(f27,axiom,
    ! [X2,X3,X0,X1] :
      ( equalish(X2,X3)
      | ~ product(X0,X1,X3)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function2) ).

fof(f28,axiom,
    ! [X2,X3,X0,X1] :
      ( equalish(X1,X3)
      | ~ product(X0,X3,X2)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).

fof(f29,axiom,
    ! [X2,X3,X0,X1] :
      ( equalish(X0,X3)
      | ~ product(X3,X1,X2)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).

fof(f30,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( product(X3,X1,X0)
      | ~ product(X0,X2,X3)
      | ~ product(X0,X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg3) ).

tcf(c_79,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( product(X3,X1,X0)
      | ~ product(X0,X2,X3)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( equalish(X0,X3)
      | ~ product(X3,X1,X2)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( equalish(X1,X3)
      | ~ product(X0,X3,X2)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_82,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( equalish(X2,X3)
      | ~ product(X0,X1,X3)
      | ~ product(X0,X1,X2) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i] :
      ( product(X1,X0,e_3)
      | product(X1,X0,e_2)
      | product(X1,X0,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_86,plain,
    ~ equalish(e_3,e_2),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_88,plain,
    ~ equalish(e_2,e_3),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_89,plain,
    ~ equalish(e_2,e_1),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_91,plain,
    ~ equalish(e_1,e_2),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_98,plain,
    group_element(e_3),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_99,plain,
    group_element(e_2),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_100,plain,
    group_element(e_1),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_499,plain,
    ! [X0: $i,X1: $i] :
      ( ~ product(e_3,X0,X1)
      | ~ product(e_2,X0,X1) ),
    inference(resolution,[status(thm)],[c_88,c_80]) ).

tcf(c_500,plain,
    ( ~ product(e_3,e_1,e_1)
    | ~ product(e_2,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_499]) ).

tcf(c_601,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_3,e_2)
      | ~ product(e_3,X0,X1)
      | ~ product(e_2,X0,X1) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_607,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_2,e_3)
      | ~ product(e_3,X0,X1)
      | ~ product(e_2,X0,X1) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_608,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_2,e_3)
      | ~ product(X0,e_3,X1)
      | ~ product(X0,e_2,X1) ),
    inference(instantiation,[status(thm)],[c_81]) ).

tcf(c_611,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_2,e_1)
      | ~ product(X0,e_2,X1)
      | ~ product(X0,e_1,X1) ),
    inference(instantiation,[status(thm)],[c_81]) ).

tcf(c_616,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_1,e_2)
      | ~ product(e_2,X0,X1)
      | ~ product(e_1,X0,X1) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_617,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_1,e_2)
      | ~ product(X0,e_2,X1)
      | ~ product(X0,e_1,X1) ),
    inference(instantiation,[status(thm)],[c_81]) ).

tcf(c_618,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_1,e_2)
      | ~ product(X0,X1,e_2)
      | ~ product(X0,X1,e_1) ),
    inference(instantiation,[status(thm)],[c_82]) ).

tcf(c_643,plain,
    ! [X0: $i] :
      ( product(e_1,e_1,e_3)
      | ~ product(e_3,e_1,X0)
      | ~ product(e_3,X0,e_1) ),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_644,plain,
    ( product(e_1,e_1,e_3)
    | ~ product(e_3,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_643]) ).

tcf(c_645,plain,
    ! [X0: $i] :
      ( product(e_1,e_1,e_2)
      | ~ product(e_2,e_1,X0)
      | ~ product(e_2,X0,e_1) ),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_646,plain,
    ( product(e_1,e_1,e_2)
    | ~ product(e_2,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_645]) ).

tcf(c_651,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( product(e_3,X1,X0)
      | ~ product(X0,X2,e_3)
      | ~ product(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_653,plain,
    ! [X0: $i] :
      ( product(e_3,X0,e_3)
      | product(e_3,X0,e_2)
      | product(e_3,X0,e_1)
      | ~ group_element(e_3)
      | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_83]) ).

tcf(c_654,plain,
    ( product(e_3,e_1,e_3)
    | product(e_3,e_1,e_2)
    | product(e_3,e_1,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_653]) ).

tcf(c_657,plain,
    ! [X0: $i] :
      ( product(X0,e_3,e_3)
      | product(X0,e_3,e_2)
      | product(X0,e_3,e_1)
      | ~ group_element(e_3)
      | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_83]) ).

tcf(c_671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( product(e_2,X1,X0)
      | ~ product(X0,X2,e_2)
      | ~ product(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_673,plain,
    ! [X0: $i] :
      ( product(e_2,X0,e_3)
      | product(e_2,X0,e_2)
      | product(e_2,X0,e_1)
      | ~ group_element(e_2)
      | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_83]) ).

tcf(c_674,plain,
    ( product(e_2,e_1,e_3)
    | product(e_2,e_1,e_2)
    | product(e_2,e_1,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_673]) ).

tcf(c_675,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( product(X2,e_2,X0)
      | ~ product(X0,e_2,X1)
      | ~ product(X0,X1,X2) ),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_677,plain,
    ! [X0: $i] :
      ( product(X0,e_2,e_3)
      | product(X0,e_2,e_2)
      | product(X0,e_2,e_1)
      | ~ group_element(e_2)
      | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_83]) ).

tcf(c_678,plain,
    ( product(e_1,e_2,e_3)
    | product(e_1,e_2,e_2)
    | product(e_1,e_2,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_677]) ).

tcf(c_738,plain,
    ( product(e_3,e_2,e_3)
    | product(e_3,e_2,e_2)
    | product(e_3,e_2,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_2) ),
    inference(instantiation,[status(thm)],[c_653]) ).

tcf(c_740,plain,
    ( equalish(e_1,e_2)
    | ~ product(e_3,e_2,e_2)
    | ~ product(e_3,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_617]) ).

tcf(c_748,plain,
    ! [X0: $i] :
      ( equalish(e_2,e_3)
      | ~ product(e_3,X0,e_2)
      | ~ product(e_2,X0,e_2) ),
    inference(instantiation,[status(thm)],[c_607]) ).

tcf(c_763,plain,
    ( product(e_1,e_1,e_3)
    | ~ product(e_3,e_2,e_1)
    | ~ product(e_3,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_643]) ).

tcf(c_767,plain,
    ( product(e_2,e_3,e_3)
    | product(e_2,e_3,e_2)
    | product(e_2,e_3,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_2) ),
    inference(instantiation,[status(thm)],[c_657]) ).

tcf(c_785,plain,
    ! [X0: $i,X1: $i] :
      ( product(e_2,X1,X0)
      | ~ product(X0,e_3,e_2)
      | ~ product(X0,X1,e_3) ),
    inference(instantiation,[status(thm)],[c_671]) ).

tcf(c_789,plain,
    ! [X0: $i] :
      ( equalish(e_1,e_2)
      | ~ product(e_2,X0,e_2)
      | ~ product(e_1,X0,e_2) ),
    inference(instantiation,[status(thm)],[c_616]) ).

tcf(c_793,plain,
    ( product(e_2,e_2,e_3)
    | product(e_2,e_2,e_2)
    | product(e_2,e_2,e_1)
    | ~ group_element(e_2) ),
    inference(instantiation,[status(thm)],[c_673]) ).

tcf(c_795,plain,
    ( equalish(e_1,e_2)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_2,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_617]) ).

tcf(c_798,plain,
    ! [X0: $i] :
      ( equalish(e_1,e_2)
      | ~ product(e_2,X0,e_2)
      | ~ product(e_2,X0,e_1) ),
    inference(instantiation,[status(thm)],[c_618]) ).

tcf(c_805,plain,
    ! [X0: $i,X1: $i] :
      ( product(e_2,X0,e_2)
      | ~ product(e_2,X1,e_2)
      | ~ product(e_2,X0,X1) ),
    inference(instantiation,[status(thm)],[c_671]) ).

tcf(c_808,plain,
    ! [X0: $i,X1: $i] :
      ( product(X1,e_2,X0)
      | ~ product(X0,e_2,e_2)
      | ~ product(X0,e_2,X1) ),
    inference(instantiation,[status(thm)],[c_675]) ).

tcf(c_810,plain,
    ! [X0: $i] :
      ( equalish(e_2,e_1)
      | ~ product(X0,e_2,e_2)
      | ~ product(X0,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_611]) ).

tcf(c_811,plain,
    ( equalish(e_2,e_1)
    | ~ product(e_1,e_2,e_2)
    | ~ product(e_1,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_810]) ).

tcf(c_848,plain,
    ! [X0: $i] :
      ( equalish(e_2,e_3)
      | ~ product(X0,e_3,e_3)
      | ~ product(X0,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_608]) ).

tcf(c_910,plain,
    ! [X0: $i,X1: $i] :
      ( product(e_2,e_2,X0)
      | ~ product(X0,e_2,X1)
      | ~ product(X0,X1,e_2) ),
    inference(instantiation,[status(thm)],[c_675]) ).

tcf(c_913,plain,
    ( product(e_2,e_2,e_1)
    | ~ product(e_1,e_2,e_1)
    | ~ product(e_1,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_910]) ).

tcf(c_963,plain,
    ( equalish(e_1,e_2)
    | ~ product(e_2,e_1,e_3)
    | ~ product(e_1,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_616]) ).

tcf(c_1158,plain,
    ! [X0: $i] :
      ( product(e_3,e_2,e_2)
      | ~ product(e_2,e_2,X0)
      | ~ product(e_2,X0,e_3) ),
    inference(instantiation,[status(thm)],[c_651]) ).

tcf(c_1159,plain,
    ( product(e_3,e_2,e_2)
    | ~ product(e_2,e_2,e_1)
    | ~ product(e_2,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_1158]) ).

tcf(c_1163,plain,
    ! [X0: $i,X1: $i] :
      ( product(e_3,X0,e_2)
      | ~ product(e_2,X1,e_3)
      | ~ product(e_2,X0,X1) ),
    inference(instantiation,[status(thm)],[c_651]) ).

tcf(c_1180,plain,
    ! [X0: $i,X1: $i] :
      ( product(X1,e_2,e_2)
      | ~ product(e_2,e_2,X0)
      | ~ product(e_2,X0,X1) ),
    inference(instantiation,[status(thm)],[c_675]) ).

tcf(c_1181,plain,
    ( product(e_1,e_2,e_2)
    | ~ product(e_2,e_2,e_1)
    | ~ product(e_2,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_1180]) ).

tcf(c_1197,plain,
    ( equalish(e_2,e_3)
    | ~ product(e_2,e_3,e_1)
    | ~ product(e_2,e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_608]) ).

tcf(c_1228,plain,
    ( equalish(e_3,e_2)
    | ~ product(e_3,e_1,e_3)
    | ~ product(e_2,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_601]) ).

tcf(c_1626,plain,
    ! [X0: $i] :
      ( product(e_3,X0,e_3)
      | ~ product(e_3,e_2,e_3)
      | ~ product(e_3,X0,e_2) ),
    inference(instantiation,[status(thm)],[c_651]) ).

tcf(c_1627,plain,
    ( product(e_3,e_1,e_3)
    | ~ product(e_3,e_2,e_3)
    | ~ product(e_3,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_1626]) ).

tcf(c_1675,plain,
    ( equalish(e_1,e_2)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_2,e_2,e_1) ),
    inference(instantiation,[status(thm)],[c_798]) ).

tcf(c_1677,plain,
    ( equalish(e_1,e_2)
    | ~ product(e_2,e_2,e_2)
    | ~ product(e_1,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_789]) ).

tcf(c_1679,plain,
    ( equalish(e_2,e_3)
    | ~ product(e_3,e_2,e_2)
    | ~ product(e_2,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_748]) ).

tcf(c_1699,plain,
    ( product(e_2,e_1,e_2)
    | ~ product(e_2,e_3,e_2)
    | ~ product(e_2,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_785]) ).

tcf(c_1870,plain,
    ! [X0: $i,X1: $i] :
      ( product(e_3,X1,X0)
      | ~ product(X0,e_2,e_3)
      | ~ product(X0,X1,e_2) ),
    inference(instantiation,[status(thm)],[c_651]) ).

tcf(c_1871,plain,
    ( product(e_3,e_1,e_1)
    | ~ product(e_1,e_2,e_3)
    | ~ product(e_1,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_1870]) ).

tcf(c_2002,plain,
    ( product(e_2,e_2,e_2)
    | ~ product(e_2,e_3,e_2)
    | ~ product(e_2,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_805]) ).

tcf(c_2284,plain,
    ! [X0: $i] :
      ( product(e_2,e_2,X0)
      | ~ product(X0,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_808]) ).

tcf(c_2289,plain,
    ( product(e_2,e_2,e_1)
    | ~ product(e_1,e_2,e_2) ),
    inference(instantiation,[status(thm)],[c_2284]) ).

tcf(c_2335,plain,
    ( equalish(e_2,e_3)
    | ~ product(e_2,e_3,e_3)
    | ~ product(e_2,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_848]) ).

tcf(c_2429,plain,
    ! [X0: $i] :
      ( product(e_3,X0,e_2)
      | ~ product(e_2,e_3,e_3)
      | ~ product(e_2,X0,e_3) ),
    inference(instantiation,[status(thm)],[c_1163]) ).

tcf(c_2430,plain,
    ( product(e_3,e_1,e_2)
    | ~ product(e_2,e_3,e_3)
    | ~ product(e_2,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_2429]) ).

tcf(c_2441,plain,
    ! [X0: $i] :
      ( product(X0,e_2,e_2)
      | ~ product(e_2,e_2,e_3)
      | ~ product(e_2,e_3,X0) ),
    inference(instantiation,[status(thm)],[c_1180]) ).

tcf(c_2442,plain,
    ( product(e_1,e_2,e_2)
    | ~ product(e_2,e_3,e_1)
    | ~ product(e_2,e_2,e_3) ),
    inference(instantiation,[status(thm)],[c_2441]) ).

tcf(c_2534,plain,
    ! [X0: $i] :
      ( product(e_2,e_2,e_2)
      | ~ product(e_2,e_2,X0)
      | ~ product(e_2,X0,e_2) ),
    inference(instantiation,[status(thm)],[c_910]) ).

tcf(c_2535,plain,
    ( product(e_2,e_2,e_2)
    | ~ product(e_2,e_2,e_1)
    | ~ product(e_2,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_2534]) ).

tcf(c_2669,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2535,c_2442,c_2430,c_2335,c_2289,c_2002,c_1871,c_1699,c_1675,c_1677,c_1679,c_1627,c_1228,c_1197,c_1181,c_1159,c_963,c_913,c_811,c_795,c_793,c_767,c_763,c_740,c_738,c_678,c_674,c_654,c_646,c_644,c_500,c_86,c_88,c_89,c_91,c_98,c_99,c_100]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP130-3.003 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/20.40  % Computer : n013.cluster.edu
% 0.10/20.40  % Model    : x86_64 x86_64
% 0.10/20.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/20.40  % Memory   : 8046.5625MB
% 0.10/20.40  % OS       : Linux 6.8.0-71-generic
% 0.10/20.40  % CPULimit : 300
% 0.10/20.40  % WCLimit  : 300
% 0.10/20.40  % DateTime : Wed Sep 23 13:46:43 UTC 2026
% 0.14/20.40  % CPUTime  : 
% 0.14/20.40  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/20.44  Running EPR theorem proving
% 0.14/20.44  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/20.45  
% 0.14/20.45  % ======== iProver multi-core TPTP/SMT =========
% 0.14/20.45  
% 0.14/20.45  % Detected problem language: tptp
% 0.14/20.46  % Proving...
% 1.77/21.25  % SZS status Started for theBenchmark.p
% 1.77/21.25  % SZS status Unsatisfiable for theBenchmark.p
% 1.77/21.25  
% 1.77/21.25  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.77/21.25  
% 1.77/21.25  % ------  iProver source info
% 1.77/21.25  
% 1.77/21.25  % git: date: 2026-07-19 20:42:38 +0200
% 1.77/21.25  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.77/21.25  % git: non_committed_changes: false
% 1.77/21.25  
% 1.77/21.25  % ------ Parsing...% successful
% 1.77/21.25  
% 1.77/21.25  
% 1.77/21.25  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 1.77/21.25  % 
% 1.77/21.25  
% 1.77/21.25  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 1.77/21.25  
% 1.77/21.25  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 1.77/21.25   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.77/21.25  % ------ Proving...
% 1.77/21.25  % ------ Problem Properties 
% 1.77/21.25  
% 1.77/21.25  % 
% 1.77/21.25  % clauses                               30
% 1.77/21.25  % conjectures                           1
% 1.77/21.25  % EPR                                   30
% 1.77/21.25  % Horn                                  28
% 1.77/21.25  % unary                                 19
% 1.77/21.25  % binary                                0
% 1.77/21.25  % lits                                  63
% 1.77/21.26  % lits eq                               0
% 1.77/21.26  % fd_pure                               0
% 1.77/21.26  % fd_pseudo                             0
% 1.77/21.26  % fd_cond                               0
% 1.77/21.26  % fd_pseudo_cond                        0
% 1.77/21.26  % AC symbols                            0
% 1.77/21.26  
% 1.77/21.26  % ------ Schedule EPR non Horn non eq is on
% 1.77/21.26  
% 1.77/21.26  % ------ no equalities: superposition off 
% 1.77/21.26  
% 1.77/21.26  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 1.77/21.26  
% 1.77/21.26  
% 1.77/21.26  % ------ 
% 1.77/21.26  % Current options:
% 1.77/21.26  % ------ 
% 1.77/21.26  
% 1.77/21.26  
% 1.77/21.26  % 
% 1.77/21.26  
% 1.77/21.26  % ------ Proving...
% 1.77/21.26  % 
% 1.77/21.26  
% 1.77/21.26  % SZS status Unsatisfiable for theBenchmark.p
% 1.77/21.26  
% 1.77/21.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.77/21.26  
% 1.77/21.26  
%------------------------------------------------------------------------------