TSTP Solution File: SYN001-1.005 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SYN001-1.005 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s

% Computer : n019.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 : Fri Sep  1 01:48:22 EDT 2023

% Result   : Unsatisfiable 0.19s 0.54s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   37
% Syntax   : Number of formulae    :  116 (   6 unt;   5 typ;   0 def)
%            Number of atoms       :  448 (   0 equ)
%            Maximal formula atoms :    5 (   4 avg)
%            Number of connectives :  562 ( 225   ~; 337   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    6 (   5 usr;   6 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    p_1: $o ).

tff(decl_23,type,
    p_2: $o ).

tff(decl_24,type,
    p_3: $o ).

tff(decl_25,type,
    p_4: $o ).

tff(decl_26,type,
    p_5: $o ).

cnf(npnnn,negated_conjecture,
    ( p_2
    | ~ p_1
    | ~ p_3
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npnnn) ).

cnf(nnnnn,negated_conjecture,
    ( ~ p_1
    | ~ p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnnnn) ).

cnf(nnpnn,negated_conjecture,
    ( p_3
    | ~ p_1
    | ~ p_2
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnpnn) ).

cnf(nnnpn,negated_conjecture,
    ( p_4
    | ~ p_1
    | ~ p_2
    | ~ p_3
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnnpn) ).

cnf(nppnn,negated_conjecture,
    ( p_2
    | p_3
    | ~ p_1
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nppnn) ).

cnf(ppppn,negated_conjecture,
    ( p_1
    | p_2
    | p_3
    | p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppppn) ).

cnf(ppppp,negated_conjecture,
    ( p_1
    | p_2
    | p_3
    | p_4
    | p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppppp) ).

cnf(nnnnp,negated_conjecture,
    ( p_5
    | ~ p_1
    | ~ p_2
    | ~ p_3
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnnnp) ).

cnf(npnpn,negated_conjecture,
    ( p_2
    | p_4
    | ~ p_1
    | ~ p_3
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npnpn) ).

cnf(pppnp,negated_conjecture,
    ( p_1
    | p_2
    | p_3
    | p_5
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pppnp) ).

cnf(npnnp,negated_conjecture,
    ( p_2
    | p_5
    | ~ p_1
    | ~ p_3
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npnnp) ).

cnf(nnppn,negated_conjecture,
    ( p_3
    | p_4
    | ~ p_1
    | ~ p_2
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnppn) ).

cnf(pnnnn,negated_conjecture,
    ( p_1
    | ~ p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnnnn) ).

cnf(pppnn,negated_conjecture,
    ( p_1
    | p_2
    | p_3
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pppnn) ).

cnf(npppp,negated_conjecture,
    ( p_2
    | p_3
    | p_4
    | p_5
    | ~ p_1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npppp) ).

cnf(nnpnp,negated_conjecture,
    ( p_3
    | p_5
    | ~ p_1
    | ~ p_2
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnpnp) ).

cnf(ppnnn,negated_conjecture,
    ( p_1
    | p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppnnn) ).

cnf(ppnpp,negated_conjecture,
    ( p_1
    | p_2
    | p_4
    | p_5
    | ~ p_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppnpp) ).

cnf(npppn,negated_conjecture,
    ( p_2
    | p_3
    | p_4
    | ~ p_1
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npppn) ).

cnf(pnpnn,negated_conjecture,
    ( p_1
    | p_3
    | ~ p_2
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnpnn) ).

cnf(npnpp,negated_conjecture,
    ( p_2
    | p_4
    | p_5
    | ~ p_1
    | ~ p_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',npnpp) ).

cnf(nppnp,negated_conjecture,
    ( p_2
    | p_3
    | p_5
    | ~ p_1
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nppnp) ).

cnf(ppnpn,negated_conjecture,
    ( p_1
    | p_2
    | p_4
    | ~ p_3
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppnpn) ).

cnf(ppnnp,negated_conjecture,
    ( p_1
    | p_2
    | p_5
    | ~ p_3
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ppnnp) ).

cnf(pnppp,negated_conjecture,
    ( p_1
    | p_3
    | p_4
    | p_5
    | ~ p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnppp) ).

cnf(nnppp,negated_conjecture,
    ( p_3
    | p_4
    | p_5
    | ~ p_1
    | ~ p_2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnppp) ).

cnf(pnppn,negated_conjecture,
    ( p_1
    | p_3
    | p_4
    | ~ p_2
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnppn) ).

cnf(nnnpp,negated_conjecture,
    ( p_4
    | p_5
    | ~ p_1
    | ~ p_2
    | ~ p_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nnnpp) ).

cnf(pnpnp,negated_conjecture,
    ( p_1
    | p_3
    | p_5
    | ~ p_2
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnpnp) ).

cnf(pnnpn,negated_conjecture,
    ( p_1
    | p_4
    | ~ p_2
    | ~ p_3
    | ~ p_5 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnnpn) ).

cnf(pnnnp,negated_conjecture,
    ( p_1
    | p_5
    | ~ p_2
    | ~ p_3
    | ~ p_4 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnnnp) ).

cnf(pnnpp,negated_conjecture,
    ( p_1
    | p_4
    | p_5
    | ~ p_2
    | ~ p_3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pnnpp) ).

cnf(c_0_32,negated_conjecture,
    ( p_2
    | ~ p_1
    | ~ p_3
    | ~ p_4
    | ~ p_5 ),
    npnnn ).

cnf(c_0_33,negated_conjecture,
    ( ~ p_1
    | ~ p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5 ),
    nnnnn ).

cnf(c_0_34,negated_conjecture,
    ( p_3
    | ~ p_1
    | ~ p_2
    | ~ p_4
    | ~ p_5 ),
    nnpnn ).

cnf(c_0_35,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_1 ),
    inference(csr,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    ( p_4
    | ~ p_1
    | ~ p_2
    | ~ p_3
    | ~ p_5 ),
    nnnpn ).

cnf(c_0_37,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | ~ p_2
    | ~ p_1 ),
    inference(csr,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    ( p_2
    | p_3
    | ~ p_1
    | ~ p_4
    | ~ p_5 ),
    nppnn ).

cnf(c_0_39,negated_conjecture,
    ( p_1
    | p_2
    | p_3
    | p_4
    | ~ p_5 ),
    ppppn ).

cnf(c_0_40,negated_conjecture,
    ( p_1
    | p_2
    | p_3
    | p_4
    | p_5 ),
    ppppp ).

cnf(c_0_41,negated_conjecture,
    ( p_5
    | ~ p_1
    | ~ p_2
    | ~ p_3
    | ~ p_4 ),
    nnnnp ).

cnf(c_0_42,negated_conjecture,
    ( ~ p_5
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(csr,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_43,negated_conjecture,
    ( p_2
    | p_4
    | ~ p_1
    | ~ p_3
    | ~ p_5 ),
    npnpn ).

cnf(c_0_44,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | ~ p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_38,c_0_37]),c_0_35]) ).

cnf(c_0_45,negated_conjecture,
    ( p_1
    | p_2
    | p_3
    | p_5
    | ~ p_4 ),
    pppnp ).

cnf(c_0_46,negated_conjecture,
    ( p_4
    | p_3
    | p_2
    | p_1 ),
    inference(csr,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_47,negated_conjecture,
    ( p_2
    | p_5
    | ~ p_1
    | ~ p_3
    | ~ p_4 ),
    npnnp ).

cnf(c_0_48,negated_conjecture,
    ( ~ p_4
    | ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(csr,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_49,negated_conjecture,
    ( ~ p_5
    | ~ p_3
    | ~ p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_43,c_0_42]),c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    ( p_3
    | p_4
    | ~ p_1
    | ~ p_2
    | ~ p_5 ),
    nnppn ).

cnf(c_0_51,negated_conjecture,
    ( p_1
    | ~ p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5 ),
    pnnnn ).

cnf(c_0_52,negated_conjecture,
    ( p_1
    | p_2
    | p_3
    | ~ p_4
    | ~ p_5 ),
    pppnn ).

cnf(c_0_53,negated_conjecture,
    ( p_5
    | p_3
    | p_2
    | p_1 ),
    inference(csr,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_54,negated_conjecture,
    ( p_2
    | p_3
    | p_4
    | p_5
    | ~ p_1 ),
    npppp ).

cnf(c_0_55,negated_conjecture,
    ( p_3
    | p_5
    | ~ p_1
    | ~ p_2
    | ~ p_4 ),
    nnpnp ).

cnf(c_0_56,negated_conjecture,
    ( ~ p_4
    | ~ p_3
    | ~ p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_47,c_0_48]),c_0_49]) ).

cnf(c_0_57,negated_conjecture,
    ( ~ p_5
    | ~ p_2
    | ~ p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_50,c_0_49]),c_0_44]) ).

cnf(c_0_58,negated_conjecture,
    ( p_1
    | p_2
    | ~ p_3
    | ~ p_4
    | ~ p_5 ),
    ppnnn ).

cnf(c_0_59,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | ~ p_3
    | ~ p_2 ),
    inference(csr,[status(thm)],[c_0_51,c_0_48]) ).

cnf(c_0_60,negated_conjecture,
    ( p_1
    | p_2
    | p_4
    | p_5
    | ~ p_3 ),
    ppnpp ).

cnf(c_0_61,negated_conjecture,
    ( p_2
    | p_3
    | p_4
    | ~ p_1
    | ~ p_5 ),
    npppn ).

cnf(c_0_62,negated_conjecture,
    ( p_3
    | p_2
    | p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_52,c_0_46]),c_0_53]) ).

cnf(c_0_63,negated_conjecture,
    ( p_5
    | p_4
    | p_3
    | p_2 ),
    inference(csr,[status(thm)],[c_0_54,c_0_46]) ).

cnf(c_0_64,negated_conjecture,
    ( p_1
    | p_3
    | ~ p_2
    | ~ p_4
    | ~ p_5 ),
    pnpnn ).

cnf(c_0_65,negated_conjecture,
    ( ~ p_4
    | ~ p_2
    | ~ p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_55,c_0_56]),c_0_57]) ).

cnf(c_0_66,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | ~ p_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_58,c_0_56]),c_0_59]) ).

cnf(c_0_67,negated_conjecture,
    ( p_2
    | p_4
    | p_5
    | ~ p_1
    | ~ p_3 ),
    npnpp ).

cnf(c_0_68,negated_conjecture,
    ( p_5
    | p_4
    | p_2
    | p_1 ),
    inference(csr,[status(thm)],[c_0_60,c_0_46]) ).

cnf(c_0_69,negated_conjecture,
    ( p_4
    | p_3
    | p_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_61,c_0_62]),c_0_63]) ).

cnf(c_0_70,negated_conjecture,
    ( ~ p_5
    | ~ p_4
    | ~ p_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_64,c_0_65]),c_0_66]) ).

cnf(c_0_71,negated_conjecture,
    ( p_2
    | p_3
    | p_5
    | ~ p_1
    | ~ p_4 ),
    nppnp ).

cnf(c_0_72,negated_conjecture,
    ( p_1
    | p_2
    | p_4
    | ~ p_3
    | ~ p_5 ),
    ppnpn ).

cnf(c_0_73,negated_conjecture,
    ( p_5
    | p_4
    | p_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_67,c_0_68]),c_0_69]) ).

cnf(c_0_74,negated_conjecture,
    ( ~ p_5
    | ~ p_4 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_62]),c_0_70]),c_0_66]) ).

cnf(c_0_75,negated_conjecture,
    ( p_5
    | p_3
    | p_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_71,c_0_62]),c_0_69]) ).

cnf(c_0_76,negated_conjecture,
    ( p_1
    | p_2
    | p_5
    | ~ p_3
    | ~ p_4 ),
    ppnnp ).

cnf(c_0_77,negated_conjecture,
    ( p_4
    | p_2
    | p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_72,c_0_62]),c_0_73]) ).

cnf(c_0_78,negated_conjecture,
    ( p_3
    | p_2 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_69]) ).

cnf(c_0_79,negated_conjecture,
    ( p_1
    | p_3
    | p_4
    | p_5
    | ~ p_2 ),
    pnppp ).

cnf(c_0_80,negated_conjecture,
    ( p_5
    | p_2
    | p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_76,c_0_62]),c_0_77]) ).

cnf(c_0_81,negated_conjecture,
    ( p_4
    | p_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_77]),c_0_78]),c_0_73]) ).

cnf(c_0_82,negated_conjecture,
    ( p_3
    | p_4
    | p_5
    | ~ p_1
    | ~ p_2 ),
    nnppp ).

cnf(c_0_83,negated_conjecture,
    ( p_5
    | p_4
    | p_3
    | p_1 ),
    inference(csr,[status(thm)],[c_0_79,c_0_46]) ).

cnf(c_0_84,negated_conjecture,
    ( p_5
    | p_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_80]),c_0_78]),c_0_81]) ).

cnf(c_0_85,negated_conjecture,
    ( p_1
    | p_3
    | p_4
    | ~ p_2
    | ~ p_5 ),
    pnppn ).

cnf(c_0_86,negated_conjecture,
    ( p_5
    | p_4
    | p_3 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_82,c_0_83]),c_0_69]) ).

cnf(c_0_87,negated_conjecture,
    p_2,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_84]),c_0_81]) ).

cnf(c_0_88,negated_conjecture,
    ( p_4
    | p_5
    | ~ p_1
    | ~ p_2
    | ~ p_3 ),
    nnnpp ).

cnf(c_0_89,negated_conjecture,
    ( p_1
    | p_3
    | p_5
    | ~ p_2
    | ~ p_4 ),
    pnpnp ).

cnf(c_0_90,negated_conjecture,
    ( p_4
    | p_3
    | p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_85,c_0_62]),c_0_86]) ).

cnf(c_0_91,negated_conjecture,
    ( ~ p_5
    | ~ p_1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_87])]) ).

cnf(c_0_92,negated_conjecture,
    ( p_1
    | p_4
    | ~ p_2
    | ~ p_3
    | ~ p_5 ),
    pnnpn ).

cnf(c_0_93,negated_conjecture,
    ( ~ p_3
    | ~ p_2
    | ~ p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_88,c_0_65]),c_0_57]) ).

cnf(c_0_94,negated_conjecture,
    ( ~ p_4
    | ~ p_1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_87])]) ).

cnf(c_0_95,negated_conjecture,
    ( p_5
    | p_3
    | p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_89,c_0_62]),c_0_90]) ).

cnf(c_0_96,negated_conjecture,
    ( p_4
    | p_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_90]),c_0_86]) ).

cnf(c_0_97,negated_conjecture,
    ( p_1
    | p_5
    | ~ p_2
    | ~ p_3
    | ~ p_4 ),
    pnnnp ).

cnf(c_0_98,negated_conjecture,
    ( ~ p_5
    | ~ p_3
    | ~ p_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_92,c_0_93]),c_0_70]) ).

cnf(c_0_99,negated_conjecture,
    ( p_5
    | p_3 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_94,c_0_95]),c_0_96]) ).

cnf(c_0_100,negated_conjecture,
    ( ~ p_4
    | ~ p_3
    | ~ p_2 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_97,c_0_93]),c_0_98]) ).

cnf(c_0_101,negated_conjecture,
    ( p_1
    | p_4
    | p_5
    | ~ p_2
    | ~ p_3 ),
    pnnpp ).

cnf(c_0_102,negated_conjecture,
    ( ~ p_3
    | ~ p_1 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_87])]) ).

cnf(c_0_103,negated_conjecture,
    p_3,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_99]),c_0_96]) ).

cnf(c_0_104,negated_conjecture,
    ( ~ p_5
    | ~ p_3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_87])]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ p_4
    | ~ p_3 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_100,c_0_87])]) ).

cnf(c_0_106,negated_conjecture,
    ( p_5
    | p_4
    | p_1 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_101,c_0_77]),c_0_90]) ).

cnf(c_0_107,negated_conjecture,
    ~ p_1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_103])]) ).

cnf(c_0_108,negated_conjecture,
    ~ p_5,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_104,c_0_103])]) ).

cnf(c_0_109,negated_conjecture,
    ~ p_4,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_103])]) ).

cnf(c_0_110,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_106,c_0_107]),c_0_108]),c_0_109]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN001-1.005 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sat Aug 26 21:20:28 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.53  start to proof: theBenchmark
% 0.19/0.54  % Version  : CSE_E---1.5
% 0.19/0.54  % Problem  : theBenchmark.p
% 0.19/0.54  % Proof found
% 0.19/0.54  % SZS status Theorem for theBenchmark.p
% 0.19/0.54  % SZS output start Proof
% See solution above
% 0.19/0.55  % Total time : 0.006000 s
% 0.19/0.55  % SZS output end Proof
% 0.19/0.55  % Total time : 0.009000 s
%------------------------------------------------------------------------------