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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : GRP124-9.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n014.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 01:31:11 PM UTC 2026

% Result   : Unsatisfiable 3.04s 11.26s
% Output   : CNFRefutation 3.04s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   99 (  38 unt;   0 def)
%            Number of atoms       :  245 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  278 ( 132   ~; 146   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   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  :    5 (   4 usr;   1 prp; 0-3 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   89 (   0 sgn  89   !;   0   ?;  69   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    group_element(e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_1) ).

fof(f4,axiom,
    group_element(e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_2) ).

fof(f5,axiom,
    group_element(e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_3) ).

fof(f6,axiom,
    group_element(e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_4) ).

fof(f7,axiom,
    ~ equalish(e_1,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_2) ).

fof(f8,axiom,
    ~ equalish(e_1,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_3) ).

fof(f9,axiom,
    ~ equalish(e_1,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_1_is_not_e_4) ).

fof(f10,axiom,
    ~ equalish(e_2,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_1) ).

fof(f11,axiom,
    ~ equalish(e_2,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_2_is_not_e_3) ).

fof(f13,axiom,
    ~ equalish(e_3,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_1) ).

fof(f15,axiom,
    ~ equalish(e_3,e_4),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_3_is_not_e_4) ).

fof(f16,axiom,
    ~ equalish(e_4,e_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_1) ).

fof(f17,axiom,
    ~ equalish(e_4,e_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_2) ).

fof(f18,axiom,
    ~ equalish(e_4,e_3),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',e_4_is_not_e_3) ).

fof(f19,axiom,
    ! [X0,X1] :
      ( product1(X0,X1,e_4)
      | product1(X0,X1,e_3)
      | product1(X0,X1,e_2)
      | product1(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_total_function1) ).

fof(f21,axiom,
    ! [X2,X3,X0,X1] :
      ( equalish(X1,X3)
      | ~ product1(X0,X3,X2)
      | ~ product1(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_right_cancellation) ).

fof(f22,axiom,
    ! [X2,X3,X0,X1] :
      ( equalish(X0,X3)
      | ~ product1(X3,X1,X2)
      | ~ product1(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_left_cancellation) ).

fof(f23,axiom,
    ! [X0] : product1(X0,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product1_idempotence) ).

fof(f25,axiom,
    ! [X2,X3,X0,X1] :
      ( equalish(X2,X3)
      | ~ product2(X0,X1,X3)
      | ~ product2(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_total_function2) ).

fof(f28,axiom,
    ! [X0] : product2(X0,X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',product2_idempotence) ).

fof(f29,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( product2(X3,X1,X0)
      | ~ product1(X2,X0,X3)
      | ~ product1(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qg2a) ).

tcf(c_78,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( product2(X3,X1,X0)
      | ~ product1(X2,X0,X3)
      | ~ product1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_79,plain,
    ! [X0: $i] : product1(X0,X0,X0),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_80,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( equalish(X0,X3)
      | ~ product1(X3,X1,X2)
      | ~ product1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_81,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( equalish(X1,X3)
      | ~ product1(X0,X3,X2)
      | ~ product1(X0,X1,X2) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_83,plain,
    ! [X0: $i,X1: $i] :
      ( product1(X0,X1,e_4)
      | product1(X0,X1,e_3)
      | product1(X0,X1,e_2)
      | product1(X0,X1,e_1)
      | ~ group_element(X1)
      | ~ group_element(X0) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_84,plain,
    ! [X0: $i] : product2(X0,X0,X0),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_87,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( equalish(X2,X3)
      | ~ product2(X0,X1,X3)
      | ~ product2(X0,X1,X2) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_89,plain,
    ~ equalish(e_4,e_1),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_90,plain,
    ~ equalish(e_3,e_1),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_91,plain,
    ~ equalish(e_2,e_1),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_92,plain,
    ~ equalish(e_1,e_4),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_93,plain,
    ~ equalish(e_1,e_3),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_94,plain,
    ~ equalish(e_1,e_2),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_95,plain,
    group_element(e_1),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_96,plain,
    group_element(e_4),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_97,plain,
    group_element(e_3),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_98,plain,
    group_element(e_2),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_99,plain,
    ~ equalish(e_4,e_2),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_102,plain,
    ~ equalish(e_2,e_3),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_103,plain,
    ~ equalish(e_4,e_3),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_104,plain,
    ~ equalish(e_3,e_4),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_105,plain,
    product2(e_1,e_1,e_1),
    inference(instantiation,[status(thm)],[c_84]) ).

tcf(c_106,plain,
    product1(e_1,e_1,e_1),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_251,plain,
    ! [X0: $i,X1: $i] :
      ( ~ product1(e_2,X0,X1)
      | ~ product1(e_1,X0,X1) ),
    inference(resolution,[status(thm)],[c_94,c_80]) ).

tcf(c_252,plain,
    ( ~ product1(e_2,e_1,e_1)
    | ~ product1(e_1,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_251]) ).

tcf(c_259,plain,
    ! [X0: $i,X1: $i] :
      ( ~ product2(X0,X1,e_3)
      | ~ product2(X0,X1,e_1) ),
    inference(resolution,[status(thm)],[c_93,c_87]) ).

tcf(c_260,plain,
    ( ~ product2(e_1,e_1,e_3)
    | ~ product2(e_1,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_259]) ).

tcf(c_299,plain,
    ! [X0: $i,X1: $i] :
      ( ~ product1(e_3,X0,X1)
      | ~ product1(e_1,X0,X1) ),
    inference(resolution,[status(thm)],[c_93,c_80]) ).

tcf(c_300,plain,
    ( ~ product1(e_3,e_1,e_1)
    | ~ product1(e_1,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_299]) ).

tcf(c_307,plain,
    ! [X0: $i,X1: $i] :
      ( ~ product2(X0,X1,e_4)
      | ~ product2(X0,X1,e_1) ),
    inference(resolution,[status(thm)],[c_92,c_87]) ).

tcf(c_308,plain,
    ( ~ product2(e_1,e_1,e_4)
    | ~ product2(e_1,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_307]) ).

tcf(c_347,plain,
    ! [X0: $i,X1: $i] :
      ( ~ product1(e_4,X0,X1)
      | ~ product1(e_1,X0,X1) ),
    inference(resolution,[status(thm)],[c_92,c_80]) ).

tcf(c_348,plain,
    ( ~ product1(e_4,e_1,e_1)
    | ~ product1(e_1,e_1,e_1) ),
    inference(instantiation,[status(thm)],[c_347]) ).

tcf(c_610,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_4,e_1)
      | ~ product1(X0,e_4,X1)
      | ~ product1(X0,e_1,X1) ),
    inference(instantiation,[status(thm)],[c_81]) ).

tcf(c_616,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_3,e_1)
      | ~ product1(X0,e_3,X1)
      | ~ product1(X0,e_1,X1) ),
    inference(instantiation,[status(thm)],[c_81]) ).

tcf(c_622,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_2,e_1)
      | ~ product1(X0,e_2,X1)
      | ~ product1(X0,e_1,X1) ),
    inference(instantiation,[status(thm)],[c_81]) ).

tcf(c_628,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_1,e_4)
      | ~ product1(X0,e_4,X1)
      | ~ product1(X0,e_1,X1) ),
    inference(instantiation,[status(thm)],[c_81]) ).

tcf(c_648,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_4,e_2)
      | ~ product1(e_4,X0,X1)
      | ~ product1(e_2,X0,X1) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_666,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_2,e_3)
      | ~ product1(e_3,X0,X1)
      | ~ product1(e_2,X0,X1) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_672,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(e_4,e_3)
      | ~ product1(e_4,X0,X1)
      | ~ product1(e_3,X0,X1) ),
    inference(instantiation,[status(thm)],[c_80]) ).

tcf(c_679,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( product2(X1,X2,e_4)
      | ~ product1(e_4,X2,X0)
      | ~ product1(X0,e_4,X1) ),
    inference(instantiation,[status(thm)],[c_78]) ).

tcf(c_684,plain,
    product1(e_4,e_4,e_4),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_704,plain,
    ! [X0: $i] :
      ( product1(e_4,X0,e_4)
      | product1(e_4,X0,e_3)
      | product1(e_4,X0,e_2)
      | product1(e_4,X0,e_1)
      | ~ group_element(e_4)
      | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_83]) ).

tcf(c_705,plain,
    ( product1(e_4,e_1,e_4)
    | product1(e_4,e_1,e_3)
    | product1(e_4,e_1,e_2)
    | product1(e_4,e_1,e_1)
    | ~ group_element(e_4)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_704]) ).

tcf(c_708,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( product2(X1,X2,e_3)
      | ~ product1(e_3,X2,X0)
      | ~ product1(X0,e_3,X1) ),
    inference(instantiation,[status(thm)],[c_78]) ).

tcf(c_713,plain,
    product1(e_3,e_3,e_3),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_733,plain,
    ! [X0: $i] :
      ( product1(e_3,X0,e_4)
      | product1(e_3,X0,e_3)
      | product1(e_3,X0,e_2)
      | product1(e_3,X0,e_1)
      | ~ group_element(e_3)
      | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_83]) ).

tcf(c_734,plain,
    ( product1(e_3,e_1,e_4)
    | product1(e_3,e_1,e_3)
    | product1(e_3,e_1,e_2)
    | product1(e_3,e_1,e_1)
    | ~ group_element(e_3)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_733]) ).

tcf(c_742,plain,
    product1(e_2,e_2,e_2),
    inference(instantiation,[status(thm)],[c_79]) ).

tcf(c_836,plain,
    ! [X0: $i] :
      ( product1(e_2,X0,e_4)
      | product1(e_2,X0,e_3)
      | product1(e_2,X0,e_2)
      | product1(e_2,X0,e_1)
      | ~ group_element(e_2)
      | ~ group_element(X0) ),
    inference(instantiation,[status(thm)],[c_83]) ).

tcf(c_837,plain,
    ( product1(e_2,e_1,e_4)
    | product1(e_2,e_1,e_3)
    | product1(e_2,e_1,e_2)
    | product1(e_2,e_1,e_1)
    | ~ group_element(e_2)
    | ~ group_element(e_1) ),
    inference(instantiation,[status(thm)],[c_836]) ).

tcf(c_1261,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(X1,X0)
      | ~ product1(X0,X1,X1) ),
    inference(superposition,[status(thm)],[c_79,c_80]) ).

tcf(c_1299,plain,
    ( equalish(e_4,e_1)
    | ~ product1(e_4,e_4,e_4)
    | ~ product1(e_4,e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_610]) ).

tcf(c_1318,plain,
    ! [X0: $i,X1: $i] :
      ( equalish(X0,X1)
      | ~ product1(X0,X1,X0) ),
    inference(superposition,[status(thm)],[c_79,c_81]) ).

tcf(c_1495,plain,
    ( equalish(e_3,e_1)
    | ~ product1(e_3,e_3,e_3)
    | ~ product1(e_3,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_616]) ).

tcf(c_1517,plain,
    ( equalish(e_2,e_1)
    | ~ product1(e_2,e_2,e_2)
    | ~ product1(e_2,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_622]) ).

tcf(c_1529,plain,
    ! [X0: $i] :
      ( equalish(e_4,X0)
      | product1(X0,e_4,e_3)
      | product1(X0,e_4,e_2)
      | product1(X0,e_4,e_1)
      | ~ group_element(e_4)
      | ~ group_element(X0) ),
    inference(superposition,[status(thm)],[c_83,c_1261]) ).

tcf(c_1531,plain,
    ! [X0: $i] :
      ( equalish(e_4,X0)
      | product1(X0,e_4,e_3)
      | product1(X0,e_4,e_2)
      | product1(X0,e_4,e_1)
      | ~ group_element(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1529,c_96]) ).

tcf(c_1598,plain,
    ! [X0: $i] :
      ( equalish(e_4,X0)
      | product1(e_4,X0,e_3)
      | product1(e_4,X0,e_2)
      | product1(e_4,X0,e_1)
      | ~ group_element(e_4)
      | ~ group_element(X0) ),
    inference(superposition,[status(thm)],[c_83,c_1318]) ).

tcf(c_1600,plain,
    ! [X0: $i] :
      ( equalish(e_4,X0)
      | product1(e_4,X0,e_3)
      | product1(e_4,X0,e_2)
      | product1(e_4,X0,e_1)
      | ~ group_element(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1598,c_96]) ).

tcf(c_1657,plain,
    ! [X0: $i] :
      ( equalish(e_1,e_4)
      | ~ product1(X0,e_4,e_2)
      | ~ product1(X0,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_628]) ).

tcf(c_1878,plain,
    ( equalish(e_3,e_1)
    | ~ product1(e_4,e_3,e_2)
    | ~ product1(e_4,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_616]) ).

tcf(c_1881,plain,
    ! [X0: $i] :
      ( equalish(e_4,e_3)
      | ~ product1(e_4,X0,e_2)
      | ~ product1(e_3,X0,e_2) ),
    inference(instantiation,[status(thm)],[c_672]) ).

tcf(c_1890,plain,
    ( equalish(e_4,e_3)
    | ~ product1(e_4,e_1,e_2)
    | ~ product1(e_3,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_1881]) ).

tcf(c_2701,plain,
    ! [X0: $i] :
      ( equalish(e_4,e_2)
      | ~ product1(e_4,X0,e_3)
      | ~ product1(e_2,X0,e_3) ),
    inference(instantiation,[status(thm)],[c_648]) ).

tcf(c_2706,plain,
    ( equalish(e_4,e_2)
    | ~ product1(e_4,e_1,e_3)
    | ~ product1(e_2,e_1,e_3) ),
    inference(instantiation,[status(thm)],[c_2701]) ).

tcf(c_2710,plain,
    ! [X0: $i,X1: $i] :
      ( product2(X0,X1,e_4)
      | ~ product1(e_4,X1,e_3)
      | ~ product1(e_3,e_4,X0) ),
    inference(instantiation,[status(thm)],[c_679]) ).

tcf(c_2711,plain,
    ( product2(e_1,e_1,e_4)
    | ~ product1(e_4,e_1,e_3)
    | ~ product1(e_3,e_4,e_1) ),
    inference(instantiation,[status(thm)],[c_2710]) ).

tcf(c_2977,plain,
    ! [X0: $i] :
      ( equalish(e_2,e_3)
      | ~ product1(e_3,X0,e_4)
      | ~ product1(e_2,X0,e_4) ),
    inference(instantiation,[status(thm)],[c_666]) ).

tcf(c_2984,plain,
    ( equalish(e_2,e_3)
    | ~ product1(e_3,e_1,e_4)
    | ~ product1(e_2,e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_2977]) ).

tcf(c_2990,plain,
    ! [X0: $i,X1: $i] :
      ( product2(X1,X0,e_3)
      | ~ product1(e_4,e_3,X1)
      | ~ product1(e_3,X0,e_4) ),
    inference(instantiation,[status(thm)],[c_708]) ).

tcf(c_2991,plain,
    ( product2(e_1,e_1,e_3)
    | ~ product1(e_4,e_3,e_1)
    | ~ product1(e_3,e_1,e_4) ),
    inference(instantiation,[status(thm)],[c_2990]) ).

tcf(c_4236,plain,
    ( equalish(e_1,e_4)
    | ~ product1(e_3,e_4,e_2)
    | ~ product1(e_3,e_1,e_2) ),
    inference(instantiation,[status(thm)],[c_1657]) ).

tcf(c_4399,plain,
    ( equalish(e_4,e_3)
    | equalish(e_3,e_4)
    | product1(e_3,e_4,e_2)
    | product1(e_3,e_4,e_1)
    | ~ group_element(e_3) ),
    inference(superposition,[status(thm)],[c_1531,c_1318]) ).

tcf(c_4400,plain,
    ( product1(e_3,e_4,e_2)
    | product1(e_3,e_4,e_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4399,c_103,c_104,c_97]) ).

tcf(c_4691,plain,
    ( equalish(e_4,e_3)
    | equalish(e_3,e_4)
    | product1(e_4,e_3,e_2)
    | product1(e_4,e_3,e_1)
    | ~ group_element(e_3) ),
    inference(superposition,[status(thm)],[c_1600,c_1261]) ).

tcf(c_4692,plain,
    ( product1(e_4,e_3,e_2)
    | product1(e_4,e_3,e_1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4691,c_103,c_104,c_97]) ).

tcf(c_5192,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4692,c_4400,c_4236,c_2991,c_2984,c_2711,c_2706,c_1890,c_1878,c_1517,c_1495,c_1299,c_837,c_742,c_734,c_713,c_705,c_684,c_348,c_308,c_300,c_260,c_252,c_106,c_105,c_89,c_90,c_91,c_92,c_99,c_102,c_103,c_95,c_96,c_97,c_98]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP124-9.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.11/10.38  % Computer : n014.cluster.edu
% 0.11/10.38  % Model    : x86_64 x86_64
% 0.11/10.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.38  % Memory   : 8046.5625MB
% 0.11/10.38  % OS       : Linux 6.8.0-71-generic
% 0.11/10.38  % CPULimit : 300
% 0.11/10.38  % WCLimit  : 300
% 0.11/10.38  % DateTime : Wed Sep 23 13:39:44 UTC 2026
% 0.11/10.39  % CPUTime  : 
% 0.11/10.39  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/10.43  Running EPR theorem proving
% 0.15/10.43  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
% 0.15/10.44  
% 0.15/10.44  % ======== iProver multi-core TPTP/SMT =========
% 0.15/10.44  
% 0.15/10.44  % Detected problem language: tptp
% 0.15/10.45  % Proving...
% 3.04/11.26  % SZS status Started for theBenchmark.p
% 3.04/11.26  % SZS status Unsatisfiable for theBenchmark.p
% 3.04/11.26  
% 3.04/11.26  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.04/11.26  
% 3.04/11.26  % ------  iProver source info
% 3.04/11.26  
% 3.04/11.26  % git: date: 2026-07-19 20:42:38 +0200
% 3.04/11.26  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.04/11.26  % git: non_committed_changes: false
% 3.04/11.26  
% 3.04/11.26  % ------ Parsing...% successful
% 3.04/11.26  
% 3.04/11.26  
% 3.04/11.26  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.04/11.26  % 
% 3.04/11.26  
% 3.04/11.26  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.04/11.26  
% 3.04/11.26  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.04/11.26   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.04/11.26  % ------ Proving...
% 3.04/11.26  % ------ Problem Properties 
% 3.04/11.26  
% 3.04/11.26  % 
% 3.04/11.26  % clauses                               27
% 3.04/11.26  % conjectures                           1
% 3.04/11.26  % EPR                                   27
% 3.04/11.26  % Horn                                  25
% 3.04/11.26  % unary                                 18
% 3.04/11.26  % binary                                0
% 3.04/11.26  % lits                                  51
% 3.04/11.26  % lits eq                               0
% 3.04/11.26  % fd_pure                               0
% 3.04/11.26  % fd_pseudo                             0
% 3.04/11.26  % fd_cond                               0
% 3.04/11.26  % fd_pseudo_cond                        0
% 3.04/11.26  % AC symbols                            0
% 3.04/11.26  
% 3.04/11.26  % ------ Schedule EPR non Horn non eq is on
% 3.04/11.26  
% 3.04/11.26  % ------ no equalities: superposition off 
% 3.04/11.26  
% 3.04/11.26  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.04/11.26  
% 3.04/11.26  
% 3.04/11.26  % ------ 
% 3.04/11.26  % Current options:
% 3.04/11.26  % ------ 
% 3.04/11.26  
% 3.04/11.26  
% 3.04/11.26  % 
% 3.04/11.26  
% 3.04/11.26  % ------ Proving...
% 3.04/11.26  % 
% 3.04/11.26  
% 3.04/11.26  % SZS status Unsatisfiable for theBenchmark.p
% 3.04/11.26  
% 3.04/11.26  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.04/11.27  
% 3.04/11.27  
%------------------------------------------------------------------------------