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CSE_E---1.7.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : CSR062+2 : TPTP v9.2.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 04:14:38 PM UTC 2026

% Result   : Theorem 1.79s 1.95s
% Output   : CNFRefutation 1.79s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   30 (  12 unt;   0 def)
%            Number of atoms       :   51 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   36 (  15   ~;  12   |;   2   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :   28 (   1 sgn  17   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(query112,conjecture,
    ? [X5] :
      ( mtvisible(c_tptp_member3205_mt)
     => tptptypes_5_387(X5,c_pushingwithfingers) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query112) ).

fof(ax1_1123,axiom,
    ! [X20,X21] :
      ( ( mtvisible(X20)
        & genlmt(X20,X21) )
     => mtvisible(X21) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).

fof(ax1_34,axiom,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_34) ).

fof(ax1_460,axiom,
    ( mtvisible(c_cyclistsmt)
   => tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_460) ).

fof(ax1_254,axiom,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_254) ).

fof(ax1_61,axiom,
    ! [X5,X6] :
      ( tptptypes_8_390(X5,X6)
     => tptptypes_7_389(X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_61) ).

fof(ax1_302,axiom,
    ! [X5,X6] :
      ( tptptypes_7_389(X5,X6)
     => tptptypes_6_388(X6,X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_302) ).

fof(ax1_99,axiom,
    ! [X5,X6] :
      ( tptptypes_6_388(X5,X6)
     => tptptypes_5_387(X5,X6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+1.ax',ax1_99) ).

fof(c_0_8,negated_conjecture,
    ~ ? [X5] :
        ( mtvisible(c_tptp_member3205_mt)
       => tptptypes_5_387(X5,c_pushingwithfingers) ),
    inference(assume_negation,[status(cth)],[query112]) ).

fof(c_0_9,plain,
    ! [X2250,X2251] :
      ( ~ mtvisible(X2250)
      | ~ genlmt(X2250,X2251)
      | mtvisible(X2251) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_1123])]) ).

fof(c_0_10,negated_conjecture,
    ! [X2265] :
      ( mtvisible(c_tptp_member3205_mt)
      & ~ tptptypes_5_387(X2265,c_pushingwithfingers) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])]) ).

cnf(c_0_11,plain,
    ( mtvisible(X2)
    | ~ mtvisible(X1)
    | ~ genlmt(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_9]) ).

cnf(c_0_12,plain,
    genlmt(c_tptp_member3205_mt,c_tptp_spindleheadmt),
    inference(split_conjunct,[status(thm)],[ax1_34]) ).

cnf(c_0_13,negated_conjecture,
    mtvisible(c_tptp_member3205_mt),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

fof(c_0_14,plain,
    ( ~ mtvisible(c_cyclistsmt)
    | tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027) ),
    inference(fof_nnf,[status(thm)],[ax1_460]) ).

cnf(c_0_15,plain,
    genlmt(c_tptp_spindleheadmt,c_cyclistsmt),
    inference(split_conjunct,[status(thm)],[ax1_254]) ).

cnf(c_0_16,plain,
    mtvisible(c_tptp_spindleheadmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).

fof(c_0_17,plain,
    ! [X1171,X1172] :
      ( ~ tptptypes_8_390(X1171,X1172)
      | tptptypes_7_389(X1171,X1172) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_61])]) ).

cnf(c_0_18,plain,
    ( tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027)
    | ~ mtvisible(c_cyclistsmt) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_19,plain,
    mtvisible(c_cyclistsmt),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_15]),c_0_16])]) ).

fof(c_0_20,plain,
    ! [X1275,X1276] :
      ( ~ tptptypes_7_389(X1275,X1276)
      | tptptypes_6_388(X1276,X1275) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_302])]) ).

cnf(c_0_21,plain,
    ( tptptypes_7_389(X1,X2)
    | ~ tptptypes_8_390(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_17]) ).

cnf(c_0_22,plain,
    tptptypes_8_390(c_pushingwithfingers,c_tptpcol_15_4027),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).

fof(c_0_23,plain,
    ! [X1187,X1188] :
      ( ~ tptptypes_6_388(X1187,X1188)
      | tptptypes_5_387(X1187,X1188) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1_99])]) ).

cnf(c_0_24,plain,
    ( tptptypes_6_388(X2,X1)
    | ~ tptptypes_7_389(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

cnf(c_0_25,plain,
    tptptypes_7_389(c_pushingwithfingers,c_tptpcol_15_4027),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,plain,
    ( tptptypes_5_387(X1,X2)
    | ~ tptptypes_6_388(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_23]) ).

cnf(c_0_27,plain,
    tptptypes_6_388(c_tptpcol_15_4027,c_pushingwithfingers),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    ~ tptptypes_5_387(X1,c_pushingwithfingers),
    inference(split_conjunct,[status(thm)],[c_0_10]) ).

cnf(c_0_29,plain,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : CSR062+2 : TPTP v9.2.1. Released v3.4.0.
% 0.12/0.13  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.19/0.34  % Computer : n004.cluster.edu
% 0.19/0.34  % Model    : x86_64 x86_64
% 0.19/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.34  % Memory   : 8042.1875MB
% 0.19/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34  % CPULimit   : 300
% 0.19/0.34  % WCLimit    : 300
% 0.19/0.34  % DateTime   : Mon May  4 16:39:47 EDT 2026
% 0.19/0.35  % CPUTime    : 
% 0.21/0.36  % start to proof: theBenchmark
% 1.79/1.95  % Version  : CSE_E---1.7
% 1.79/1.95  % Problem  : theBenchmark.p
% 1.79/1.95  % SZS status Theorem for theBenchmark.p
% 1.79/1.95  % SZS output start CNFRefutation
% See solution above
% 1.79/1.95  % Total time : 1.483s
%------------------------------------------------------------------------------