%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 : Sun Sep 27 09:36:13 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 81
% Number of leaves : 32
% Syntax : Number of formulae : 224 ( 7 unt; 0 def)
% Number of atoms : 921 ( 0 equ)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 977 ( 280 ~; 697 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% 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 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ppppp,axiom,
( p_5
| p_4
| p_3
| p_2
| p_1 ),
file('theBenchmark.p',ppppp) ).
cnf(c_1,plain,
( p_5
| p_4
| p_3
| p_2
| p_1 ),
inference(clausify,[status(thm)],[ppppp]) ).
fof(ppppn,axiom,
( ~ p_5
| p_4
| p_3
| p_2
| p_1 ),
file('theBenchmark.p',ppppn) ).
cnf(c_2,plain,
( ~ p_5
| p_4
| p_3
| p_2
| p_1 ),
inference(clausify,[status(thm)],[ppppn]) ).
fof(pppnp,axiom,
( p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
file('theBenchmark.p',pppnp) ).
cnf(c_3,plain,
( p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
inference(clausify,[status(thm)],[pppnp]) ).
fof(pppnn,axiom,
( ~ p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
file('theBenchmark.p',pppnn) ).
cnf(c_4,plain,
( ~ p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
inference(clausify,[status(thm)],[pppnn]) ).
fof(ppnpp,axiom,
( p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
file('theBenchmark.p',ppnpp) ).
cnf(c_5,plain,
( p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
inference(clausify,[status(thm)],[ppnpp]) ).
fof(ppnpn,axiom,
( ~ p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
file('theBenchmark.p',ppnpn) ).
cnf(c_6,plain,
( ~ p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
inference(clausify,[status(thm)],[ppnpn]) ).
fof(ppnnp,axiom,
( p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
file('theBenchmark.p',ppnnp) ).
cnf(c_7,plain,
( p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
inference(clausify,[status(thm)],[ppnnp]) ).
fof(ppnnn,axiom,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
file('theBenchmark.p',ppnnn) ).
cnf(c_8,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
inference(clausify,[status(thm)],[ppnnn]) ).
fof(pnppp,axiom,
( p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
file('theBenchmark.p',pnppp) ).
cnf(c_9,plain,
( p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
inference(clausify,[status(thm)],[pnppp]) ).
fof(pnppn,axiom,
( ~ p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
file('theBenchmark.p',pnppn) ).
cnf(c_10,plain,
( ~ p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
inference(clausify,[status(thm)],[pnppn]) ).
fof(pnpnp,axiom,
( p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
file('theBenchmark.p',pnpnp) ).
cnf(c_11,plain,
( p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
inference(clausify,[status(thm)],[pnpnp]) ).
fof(pnpnn,axiom,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
file('theBenchmark.p',pnpnn) ).
cnf(c_12,plain,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
inference(clausify,[status(thm)],[pnpnn]) ).
fof(pnnpp,axiom,
( p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('theBenchmark.p',pnnpp) ).
cnf(c_13,plain,
( p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(clausify,[status(thm)],[pnnpp]) ).
fof(pnnpn,axiom,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('theBenchmark.p',pnnpn) ).
cnf(c_14,plain,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(clausify,[status(thm)],[pnnpn]) ).
fof(pnnnp,axiom,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('theBenchmark.p',pnnnp) ).
cnf(c_15,plain,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(clausify,[status(thm)],[pnnnp]) ).
fof(pnnnn,axiom,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('theBenchmark.p',pnnnn) ).
cnf(c_16,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(clausify,[status(thm)],[pnnnn]) ).
fof(npppp,axiom,
( p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
file('theBenchmark.p',npppp) ).
cnf(c_17,plain,
( p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[npppp]) ).
fof(npppn,axiom,
( ~ p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
file('theBenchmark.p',npppn) ).
cnf(c_18,plain,
( ~ p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[npppn]) ).
fof(nppnp,axiom,
( p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
file('theBenchmark.p',nppnp) ).
cnf(c_19,plain,
( p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[nppnp]) ).
fof(nppnn,axiom,
( ~ p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
file('theBenchmark.p',nppnn) ).
cnf(c_20,plain,
( ~ p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[nppnn]) ).
fof(npnpp,axiom,
( p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('theBenchmark.p',npnpp) ).
cnf(c_21,plain,
( p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[npnpp]) ).
fof(npnpn,axiom,
( ~ p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('theBenchmark.p',npnpn) ).
cnf(c_22,plain,
( ~ p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[npnpn]) ).
fof(npnnp,axiom,
( p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('theBenchmark.p',npnnp) ).
cnf(c_23,plain,
( p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[npnnp]) ).
fof(npnnn,axiom,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('theBenchmark.p',npnnn) ).
cnf(c_24,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[npnnn]) ).
fof(nnppp,axiom,
( p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('theBenchmark.p',nnppp) ).
cnf(c_25,plain,
( p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[nnppp]) ).
fof(nnppn,axiom,
( ~ p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('theBenchmark.p',nnppn) ).
cnf(c_26,plain,
( ~ p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[nnppn]) ).
fof(nnpnp,axiom,
( p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('theBenchmark.p',nnpnp) ).
cnf(c_27,plain,
( p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[nnpnp]) ).
fof(nnpnn,axiom,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('theBenchmark.p',nnpnn) ).
cnf(c_28,plain,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[nnpnn]) ).
fof(nnnpp,axiom,
( p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('theBenchmark.p',nnnpp) ).
cnf(c_29,plain,
( p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[nnnpp]) ).
fof(nnnpn,axiom,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('theBenchmark.p',nnnpn) ).
cnf(c_30,plain,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[nnnpn]) ).
fof(nnnnp,axiom,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('theBenchmark.p',nnnnp) ).
cnf(c_31,plain,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[nnnnp]) ).
fof(nnnnn,axiom,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('theBenchmark.p',nnnnn) ).
cnf(c_32,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(clausify,[status(thm)],[nnnnn]) ).
cnf(c_112,plain,
( p_4
| p_3
| p_2
| p_1
| p_4
| p_3
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_2,c_1]) ).
cnf(c_113,plain,
( p_4
| p_3
| p_2
| p_4
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_112]) ).
cnf(c_114,plain,
( p_4
| p_3
| p_4
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_113]) ).
cnf(c_115,plain,
( p_4
| p_4
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_114]) ).
cnf(c_33,plain,
( p_4
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_115]) ).
cnf(c_116,plain,
( ~ p_5
| p_3
| p_2
| p_1
| p_3
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_33,c_4]) ).
cnf(c_117,plain,
( ~ p_5
| p_3
| p_2
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_116]) ).
cnf(c_118,plain,
( ~ p_5
| p_3
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_117]) ).
cnf(c_34,plain,
( ~ p_5
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_118]) ).
cnf(c_119,plain,
( p_5
| p_3
| p_2
| p_1
| p_3
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_33,c_3]) ).
cnf(c_120,plain,
( p_5
| p_3
| p_2
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_119]) ).
cnf(c_121,plain,
( p_5
| p_3
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_120]) ).
cnf(c_35,plain,
( p_5
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_121]) ).
cnf(c_122,plain,
( p_3
| p_2
| p_1
| p_3
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_35,c_34]) ).
cnf(c_123,plain,
( p_3
| p_2
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_122]) ).
cnf(c_124,plain,
( p_3
| p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_123]) ).
cnf(c_36,plain,
( p_3
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_124]) ).
cnf(c_125,plain,
( ~ p_5
| ~ p_4
| p_2
| p_1
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_36,c_8]) ).
cnf(c_126,plain,
( ~ p_5
| ~ p_4
| p_2
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_125]) ).
cnf(c_37,plain,
( ~ p_5
| ~ p_4
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_126]) ).
cnf(c_127,plain,
( p_5
| ~ p_4
| p_2
| p_1
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_36,c_7]) ).
cnf(c_128,plain,
( p_5
| ~ p_4
| p_2
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_127]) ).
cnf(c_38,plain,
( p_5
| ~ p_4
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_128]) ).
cnf(c_129,plain,
( ~ p_5
| p_4
| p_2
| p_1
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_36,c_6]) ).
cnf(c_130,plain,
( ~ p_5
| p_4
| p_2
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_129]) ).
cnf(c_39,plain,
( ~ p_5
| p_4
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_130]) ).
cnf(c_131,plain,
( p_5
| p_4
| p_2
| p_1
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_36,c_5]) ).
cnf(c_132,plain,
( p_5
| p_4
| p_2
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_131]) ).
cnf(c_40,plain,
( p_5
| p_4
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_132]) ).
cnf(c_133,plain,
( p_4
| p_2
| p_1
| p_4
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_40,c_39]) ).
cnf(c_134,plain,
( p_4
| p_2
| p_4
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_133]) ).
cnf(c_135,plain,
( p_4
| p_4
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_134]) ).
cnf(c_41,plain,
( p_4
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_135]) ).
cnf(c_136,plain,
( p_5
| p_2
| p_1
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_41,c_38]) ).
cnf(c_137,plain,
( p_5
| p_2
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_136]) ).
cnf(c_42,plain,
( p_5
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_137]) ).
cnf(c_138,plain,
( ~ p_5
| p_2
| p_1
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_41,c_37]) ).
cnf(c_139,plain,
( ~ p_5
| p_2
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_138]) ).
cnf(c_43,plain,
( ~ p_5
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_139]) ).
cnf(c_140,plain,
( p_2
| p_1
| p_2
| p_1 ),
inference(resolve,[status(thm)],[c_43,c_42]) ).
cnf(c_141,plain,
( p_2
| p_2
| p_1 ),
inference(copy,[status(thm)],[c_140]) ).
cnf(c_44,plain,
( p_2
| p_1 ),
inference(copy,[status(thm)],[c_141]) ).
cnf(c_142,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_44,c_16]) ).
cnf(c_45,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| p_1 ),
inference(copy,[status(thm)],[c_142]) ).
cnf(c_143,plain,
( p_5
| ~ p_4
| ~ p_3
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_44,c_15]) ).
cnf(c_46,plain,
( p_5
| ~ p_4
| ~ p_3
| p_1 ),
inference(copy,[status(thm)],[c_143]) ).
cnf(c_144,plain,
( ~ p_5
| p_4
| ~ p_3
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_44,c_14]) ).
cnf(c_47,plain,
( ~ p_5
| p_4
| ~ p_3
| p_1 ),
inference(copy,[status(thm)],[c_144]) ).
cnf(c_145,plain,
( p_5
| p_4
| ~ p_3
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_44,c_13]) ).
cnf(c_48,plain,
( p_5
| p_4
| ~ p_3
| p_1 ),
inference(copy,[status(thm)],[c_145]) ).
cnf(c_146,plain,
( ~ p_5
| ~ p_4
| p_3
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_44,c_12]) ).
cnf(c_49,plain,
( ~ p_5
| ~ p_4
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_146]) ).
cnf(c_147,plain,
( p_5
| ~ p_4
| p_3
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_44,c_11]) ).
cnf(c_50,plain,
( p_5
| ~ p_4
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_147]) ).
cnf(c_148,plain,
( ~ p_5
| p_4
| p_3
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_44,c_10]) ).
cnf(c_51,plain,
( ~ p_5
| p_4
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_148]) ).
cnf(c_149,plain,
( p_5
| p_4
| p_3
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_44,c_9]) ).
cnf(c_52,plain,
( p_5
| p_4
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_149]) ).
cnf(c_150,plain,
( p_4
| p_3
| p_1
| p_4
| p_3
| p_1 ),
inference(resolve,[status(thm)],[c_52,c_51]) ).
cnf(c_151,plain,
( p_4
| p_3
| p_4
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_150]) ).
cnf(c_152,plain,
( p_4
| p_4
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_151]) ).
cnf(c_53,plain,
( p_4
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_152]) ).
cnf(c_153,plain,
( p_5
| p_3
| p_1
| p_3
| p_1 ),
inference(resolve,[status(thm)],[c_53,c_50]) ).
cnf(c_154,plain,
( p_5
| p_3
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_153]) ).
cnf(c_54,plain,
( p_5
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_154]) ).
cnf(c_155,plain,
( ~ p_5
| p_3
| p_1
| p_3
| p_1 ),
inference(resolve,[status(thm)],[c_53,c_49]) ).
cnf(c_156,plain,
( ~ p_5
| p_3
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_155]) ).
cnf(c_55,plain,
( ~ p_5
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_156]) ).
cnf(c_157,plain,
( p_3
| p_1
| p_3
| p_1 ),
inference(resolve,[status(thm)],[c_55,c_54]) ).
cnf(c_158,plain,
( p_3
| p_3
| p_1 ),
inference(copy,[status(thm)],[c_157]) ).
cnf(c_56,plain,
( p_3
| p_1 ),
inference(copy,[status(thm)],[c_158]) ).
cnf(c_159,plain,
( p_5
| p_4
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_56,c_48]) ).
cnf(c_57,plain,
( p_5
| p_4
| p_1 ),
inference(copy,[status(thm)],[c_159]) ).
cnf(c_160,plain,
( ~ p_5
| p_4
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_56,c_47]) ).
cnf(c_58,plain,
( ~ p_5
| p_4
| p_1 ),
inference(copy,[status(thm)],[c_160]) ).
cnf(c_161,plain,
( p_5
| ~ p_4
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_56,c_46]) ).
cnf(c_59,plain,
( p_5
| ~ p_4
| p_1 ),
inference(copy,[status(thm)],[c_161]) ).
cnf(c_162,plain,
( ~ p_5
| ~ p_4
| p_1
| p_1 ),
inference(resolve,[status(thm)],[c_56,c_45]) ).
cnf(c_60,plain,
( ~ p_5
| ~ p_4
| p_1 ),
inference(copy,[status(thm)],[c_162]) ).
cnf(c_163,plain,
( p_4
| p_1
| p_4
| p_1 ),
inference(resolve,[status(thm)],[c_58,c_57]) ).
cnf(c_164,plain,
( p_4
| p_4
| p_1 ),
inference(copy,[status(thm)],[c_163]) ).
cnf(c_61,plain,
( p_4
| p_1 ),
inference(copy,[status(thm)],[c_164]) ).
cnf(c_165,plain,
( p_1
| p_5
| p_1 ),
inference(resolve,[status(thm)],[c_59,c_61]) ).
cnf(c_62,plain,
( p_5
| p_1 ),
inference(copy,[status(thm)],[c_165]) ).
cnf(c_166,plain,
( p_1
| ~ p_5
| p_1 ),
inference(resolve,[status(thm)],[c_60,c_61]) ).
cnf(c_63,plain,
( ~ p_5
| p_1 ),
inference(copy,[status(thm)],[c_166]) ).
cnf(c_167,plain,
( p_1
| p_1 ),
inference(resolve,[status(thm)],[c_63,c_62]) ).
cnf(c_64,plain,
p_1,
inference(copy,[status(thm)],[c_167]) ).
cnf(c_65,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2 ),
inference(resolve,[status(thm)],[c_64,c_32]) ).
cnf(c_66,plain,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2 ),
inference(resolve,[status(thm)],[c_64,c_31]) ).
cnf(c_67,plain,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2 ),
inference(resolve,[status(thm)],[c_64,c_30]) ).
cnf(c_68,plain,
( p_5
| p_4
| ~ p_3
| ~ p_2 ),
inference(resolve,[status(thm)],[c_64,c_29]) ).
cnf(c_69,plain,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2 ),
inference(resolve,[status(thm)],[c_64,c_28]) ).
cnf(c_70,plain,
( p_5
| ~ p_4
| p_3
| ~ p_2 ),
inference(resolve,[status(thm)],[c_64,c_27]) ).
cnf(c_71,plain,
( ~ p_5
| p_4
| p_3
| ~ p_2 ),
inference(resolve,[status(thm)],[c_64,c_26]) ).
cnf(c_72,plain,
( p_5
| p_4
| p_3
| ~ p_2 ),
inference(resolve,[status(thm)],[c_64,c_25]) ).
cnf(c_73,plain,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2 ),
inference(resolve,[status(thm)],[c_64,c_24]) ).
cnf(c_74,plain,
( p_5
| ~ p_4
| ~ p_3
| p_2 ),
inference(resolve,[status(thm)],[c_64,c_23]) ).
cnf(c_75,plain,
( ~ p_5
| p_4
| ~ p_3
| p_2 ),
inference(resolve,[status(thm)],[c_64,c_22]) ).
cnf(c_76,plain,
( p_5
| p_4
| ~ p_3
| p_2 ),
inference(resolve,[status(thm)],[c_64,c_21]) ).
cnf(c_77,plain,
( ~ p_5
| ~ p_4
| p_3
| p_2 ),
inference(resolve,[status(thm)],[c_64,c_20]) ).
cnf(c_78,plain,
( p_5
| ~ p_4
| p_3
| p_2 ),
inference(resolve,[status(thm)],[c_64,c_19]) ).
cnf(c_79,plain,
( ~ p_5
| p_4
| p_3
| p_2 ),
inference(resolve,[status(thm)],[c_64,c_18]) ).
cnf(c_80,plain,
( p_5
| p_4
| p_3
| p_2 ),
inference(resolve,[status(thm)],[c_64,c_17]) ).
cnf(c_168,plain,
( p_4
| p_3
| p_2
| p_4
| p_3
| p_2 ),
inference(resolve,[status(thm)],[c_80,c_79]) ).
cnf(c_169,plain,
( p_4
| p_3
| p_4
| p_3
| p_2 ),
inference(copy,[status(thm)],[c_168]) ).
cnf(c_170,plain,
( p_4
| p_4
| p_3
| p_2 ),
inference(copy,[status(thm)],[c_169]) ).
cnf(c_81,plain,
( p_4
| p_3
| p_2 ),
inference(copy,[status(thm)],[c_170]) ).
cnf(c_171,plain,
( p_5
| p_3
| p_2
| p_3
| p_2 ),
inference(resolve,[status(thm)],[c_81,c_78]) ).
cnf(c_172,plain,
( p_5
| p_3
| p_3
| p_2 ),
inference(copy,[status(thm)],[c_171]) ).
cnf(c_82,plain,
( p_5
| p_3
| p_2 ),
inference(copy,[status(thm)],[c_172]) ).
cnf(c_173,plain,
( ~ p_5
| p_3
| p_2
| p_3
| p_2 ),
inference(resolve,[status(thm)],[c_81,c_77]) ).
cnf(c_174,plain,
( ~ p_5
| p_3
| p_3
| p_2 ),
inference(copy,[status(thm)],[c_173]) ).
cnf(c_83,plain,
( ~ p_5
| p_3
| p_2 ),
inference(copy,[status(thm)],[c_174]) ).
cnf(c_175,plain,
( p_3
| p_2
| p_3
| p_2 ),
inference(resolve,[status(thm)],[c_83,c_82]) ).
cnf(c_176,plain,
( p_3
| p_3
| p_2 ),
inference(copy,[status(thm)],[c_175]) ).
cnf(c_84,plain,
( p_3
| p_2 ),
inference(copy,[status(thm)],[c_176]) ).
cnf(c_177,plain,
( p_5
| p_4
| p_2
| p_2 ),
inference(resolve,[status(thm)],[c_84,c_76]) ).
cnf(c_85,plain,
( p_5
| p_4
| p_2 ),
inference(copy,[status(thm)],[c_177]) ).
cnf(c_178,plain,
( ~ p_5
| p_4
| p_2
| p_2 ),
inference(resolve,[status(thm)],[c_84,c_75]) ).
cnf(c_86,plain,
( ~ p_5
| p_4
| p_2 ),
inference(copy,[status(thm)],[c_178]) ).
cnf(c_179,plain,
( p_5
| ~ p_4
| p_2
| p_2 ),
inference(resolve,[status(thm)],[c_84,c_74]) ).
cnf(c_87,plain,
( p_5
| ~ p_4
| p_2 ),
inference(copy,[status(thm)],[c_179]) ).
cnf(c_180,plain,
( ~ p_5
| ~ p_4
| p_2
| p_2 ),
inference(resolve,[status(thm)],[c_84,c_73]) ).
cnf(c_88,plain,
( ~ p_5
| ~ p_4
| p_2 ),
inference(copy,[status(thm)],[c_180]) ).
cnf(c_181,plain,
( p_4
| p_2
| p_4
| p_2 ),
inference(resolve,[status(thm)],[c_86,c_85]) ).
cnf(c_182,plain,
( p_4
| p_4
| p_2 ),
inference(copy,[status(thm)],[c_181]) ).
cnf(c_89,plain,
( p_4
| p_2 ),
inference(copy,[status(thm)],[c_182]) ).
cnf(c_183,plain,
( ~ p_5
| p_2
| p_2 ),
inference(resolve,[status(thm)],[c_89,c_88]) ).
cnf(c_90,plain,
( ~ p_5
| p_2 ),
inference(copy,[status(thm)],[c_183]) ).
cnf(c_184,plain,
( p_5
| p_2
| p_2 ),
inference(resolve,[status(thm)],[c_89,c_87]) ).
cnf(c_91,plain,
( p_5
| p_2 ),
inference(copy,[status(thm)],[c_184]) ).
cnf(c_185,plain,
( p_2
| p_2 ),
inference(resolve,[status(thm)],[c_91,c_90]) ).
cnf(c_92,plain,
p_2,
inference(copy,[status(thm)],[c_185]) ).
cnf(c_93,plain,
( p_5
| p_4
| p_3 ),
inference(resolve,[status(thm)],[c_92,c_72]) ).
cnf(c_94,plain,
( ~ p_5
| p_4
| p_3 ),
inference(resolve,[status(thm)],[c_92,c_71]) ).
cnf(c_95,plain,
( p_5
| ~ p_4
| p_3 ),
inference(resolve,[status(thm)],[c_92,c_70]) ).
cnf(c_96,plain,
( ~ p_5
| ~ p_4
| p_3 ),
inference(resolve,[status(thm)],[c_92,c_69]) ).
cnf(c_97,plain,
( p_5
| p_4
| ~ p_3 ),
inference(resolve,[status(thm)],[c_92,c_68]) ).
cnf(c_98,plain,
( ~ p_5
| p_4
| ~ p_3 ),
inference(resolve,[status(thm)],[c_92,c_67]) ).
cnf(c_99,plain,
( p_5
| ~ p_4
| ~ p_3 ),
inference(resolve,[status(thm)],[c_92,c_66]) ).
cnf(c_100,plain,
( ~ p_5
| ~ p_4
| ~ p_3 ),
inference(resolve,[status(thm)],[c_92,c_65]) ).
cnf(c_186,plain,
( p_4
| p_3
| p_4
| p_3 ),
inference(resolve,[status(thm)],[c_94,c_93]) ).
cnf(c_187,plain,
( p_4
| p_4
| p_3 ),
inference(copy,[status(thm)],[c_186]) ).
cnf(c_101,plain,
( p_4
| p_3 ),
inference(copy,[status(thm)],[c_187]) ).
cnf(c_188,plain,
( p_3
| p_5
| p_3 ),
inference(resolve,[status(thm)],[c_95,c_101]) ).
cnf(c_102,plain,
( p_5
| p_3 ),
inference(copy,[status(thm)],[c_188]) ).
cnf(c_189,plain,
( p_3
| ~ p_5
| p_3 ),
inference(resolve,[status(thm)],[c_96,c_101]) ).
cnf(c_103,plain,
( ~ p_5
| p_3 ),
inference(copy,[status(thm)],[c_189]) ).
cnf(c_190,plain,
( p_3
| p_3 ),
inference(resolve,[status(thm)],[c_103,c_102]) ).
cnf(c_104,plain,
p_3,
inference(copy,[status(thm)],[c_190]) ).
cnf(c_105,plain,
( ~ p_5
| ~ p_4 ),
inference(resolve,[status(thm)],[c_104,c_100]) ).
cnf(c_106,plain,
( p_5
| ~ p_4 ),
inference(resolve,[status(thm)],[c_104,c_99]) ).
cnf(c_107,plain,
( ~ p_5
| p_4 ),
inference(resolve,[status(thm)],[c_104,c_98]) ).
cnf(c_108,plain,
( p_5
| p_4 ),
inference(resolve,[status(thm)],[c_104,c_97]) ).
cnf(c_191,plain,
( p_4
| p_4 ),
inference(resolve,[status(thm)],[c_108,c_107]) ).
cnf(c_109,plain,
p_4,
inference(copy,[status(thm)],[c_191]) ).
cnf(c_110,plain,
p_5,
inference(resolve,[status(thm)],[c_109,c_106]) ).
cnf(c_192,plain,
~ p_5,
inference(resolve,[status(thm)],[c_109,c_105]) ).
cnf(c_111,plain,
$false,
inference(resolve,[status(thm)],[c_110,c_192]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n018.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 17:05:23 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 943683 was started by sandbox on n018,
% 0.08/0.36 % Sat Sep 26 17:05:23 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.37
% 0.08/0.37 % From the command line: assign(max_seconds, 300).
% 0.08/0.38
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.38
% 0.08/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.08/0.38 % Length of proof is 111.
% 0.08/0.38 % Level of proof is 31.
% 0.08/0.38 % Maximum clause weight is 5.000.
% 0.08/0.38 % Given clauses 106.
% 0.08/0.38
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------