%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 09:36:15 AM UTC 2026
% Result : Unsatisfiable 0.16s 10.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 27
% Syntax : Number of formulae : 160 ( 34 unt; 0 def)
% Number of atoms : 580 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 847 ( 427 ~; 420 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 27 ( 26 usr; 27 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_1,axiom,
~ p_0,
file('theBenchmark.p',clause_1) ).
cnf(c_1,plain,
~ p_0,
inference(clausify,[status(thm)],[clause_1]) ).
fof(clause_2,axiom,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
file('theBenchmark.p',clause_2) ).
cnf(c_2,plain,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
inference(clausify,[status(thm)],[clause_2]) ).
cnf(c_3,plain,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1 ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(clause_3,axiom,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
file('theBenchmark.p',clause_3) ).
cnf(c_4,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
inference(clausify,[status(thm)],[clause_3]) ).
fof(clause_4,axiom,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
file('theBenchmark.p',clause_4) ).
cnf(c_5,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
inference(clausify,[status(thm)],[clause_4]) ).
fof(clause_5,axiom,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
file('theBenchmark.p',clause_5) ).
cnf(c_6,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
inference(clausify,[status(thm)],[clause_5]) ).
fof(clause_6,axiom,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
file('theBenchmark.p',clause_6) ).
cnf(c_7,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
inference(clausify,[status(thm)],[clause_6]) ).
fof(clause_7,axiom,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
file('theBenchmark.p',clause_7) ).
cnf(c_8,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
inference(clausify,[status(thm)],[clause_7]) ).
fof(clause_8,axiom,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
file('theBenchmark.p',clause_8) ).
cnf(c_9,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
inference(clausify,[status(thm)],[clause_8]) ).
fof(clause_9,axiom,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
file('theBenchmark.p',clause_9) ).
cnf(c_10,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
inference(clausify,[status(thm)],[clause_9]) ).
fof(clause_10,axiom,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
file('theBenchmark.p',clause_10) ).
cnf(c_11,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
inference(clausify,[status(thm)],[clause_10]) ).
fof(clause_11,axiom,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
file('theBenchmark.p',clause_11) ).
cnf(c_12,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
inference(clausify,[status(thm)],[clause_11]) ).
fof(clause_12,axiom,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
file('theBenchmark.p',clause_12) ).
cnf(c_13,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
inference(clausify,[status(thm)],[clause_12]) ).
fof(clause_13,axiom,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
file('theBenchmark.p',clause_13) ).
cnf(c_14,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
inference(clausify,[status(thm)],[clause_13]) ).
fof(clause_14,axiom,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
file('theBenchmark.p',clause_14) ).
cnf(c_15,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
inference(clausify,[status(thm)],[clause_14]) ).
fof(clause_15,axiom,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
file('theBenchmark.p',clause_15) ).
cnf(c_16,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
inference(clausify,[status(thm)],[clause_15]) ).
fof(clause_16,axiom,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
file('theBenchmark.p',clause_16) ).
cnf(c_17,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
inference(clausify,[status(thm)],[clause_16]) ).
fof(clause_17,axiom,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
file('theBenchmark.p',clause_17) ).
cnf(c_18,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
inference(clausify,[status(thm)],[clause_17]) ).
fof(clause_18,axiom,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
file('theBenchmark.p',clause_18) ).
cnf(c_19,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
inference(clausify,[status(thm)],[clause_18]) ).
fof(clause_19,axiom,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
file('theBenchmark.p',clause_19) ).
cnf(c_20,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
inference(clausify,[status(thm)],[clause_19]) ).
fof(clause_20,axiom,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
file('theBenchmark.p',clause_20) ).
cnf(c_21,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
inference(clausify,[status(thm)],[clause_20]) ).
fof(clause_21,axiom,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
file('theBenchmark.p',clause_21) ).
cnf(c_22,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
inference(clausify,[status(thm)],[clause_21]) ).
fof(clause_22,axiom,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
file('theBenchmark.p',clause_22) ).
cnf(c_23,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
inference(clausify,[status(thm)],[clause_22]) ).
fof(clause_23,axiom,
p_5_1,
file('theBenchmark.p',clause_23) ).
cnf(c_24,plain,
p_5_1,
inference(clausify,[status(thm)],[clause_23]) ).
fof(clause_24,axiom,
p_5_2,
file('theBenchmark.p',clause_24) ).
cnf(c_25,plain,
p_5_2,
inference(clausify,[status(thm)],[clause_24]) ).
fof(clause_25,axiom,
p_5_3,
file('theBenchmark.p',clause_25) ).
cnf(c_26,plain,
p_5_3,
inference(clausify,[status(thm)],[clause_25]) ).
fof(clause_26,axiom,
p_5_4,
file('theBenchmark.p',clause_26) ).
cnf(c_27,plain,
p_5_4,
inference(clausify,[status(thm)],[clause_26]) ).
fof(clause_27,axiom,
p_5_5,
file('theBenchmark.p',clause_27) ).
cnf(c_28,plain,
p_5_5,
inference(clausify,[status(thm)],[clause_27]) ).
cnf(c_50,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| p_4_5 ),
inference(resolve,[status(thm)],[c_24,c_23]) ).
cnf(c_51,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| p_4_5 ),
inference(resolve,[status(thm)],[c_25,c_50]) ).
cnf(c_52,plain,
( ~ p_5_5
| ~ p_5_4
| p_4_5 ),
inference(resolve,[status(thm)],[c_26,c_51]) ).
cnf(c_53,plain,
( ~ p_5_5
| p_4_5 ),
inference(resolve,[status(thm)],[c_27,c_52]) ).
cnf(c_29,plain,
p_4_5,
inference(resolve,[status(thm)],[c_28,c_53]) ).
cnf(c_54,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| p_4_4 ),
inference(resolve,[status(thm)],[c_24,c_22]) ).
cnf(c_55,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| p_4_4 ),
inference(resolve,[status(thm)],[c_25,c_54]) ).
cnf(c_56,plain,
( ~ p_5_5
| ~ p_5_4
| p_4_4 ),
inference(resolve,[status(thm)],[c_26,c_55]) ).
cnf(c_57,plain,
( ~ p_5_5
| p_4_4 ),
inference(resolve,[status(thm)],[c_27,c_56]) ).
cnf(c_30,plain,
p_4_4,
inference(resolve,[status(thm)],[c_28,c_57]) ).
cnf(c_58,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| p_4_3 ),
inference(resolve,[status(thm)],[c_24,c_21]) ).
cnf(c_59,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| p_4_3 ),
inference(resolve,[status(thm)],[c_25,c_58]) ).
cnf(c_60,plain,
( ~ p_5_5
| ~ p_5_4
| p_4_3 ),
inference(resolve,[status(thm)],[c_26,c_59]) ).
cnf(c_61,plain,
( ~ p_5_5
| p_4_3 ),
inference(resolve,[status(thm)],[c_27,c_60]) ).
cnf(c_31,plain,
p_4_3,
inference(resolve,[status(thm)],[c_28,c_61]) ).
cnf(c_62,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| p_4_2 ),
inference(resolve,[status(thm)],[c_24,c_20]) ).
cnf(c_63,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| p_4_2 ),
inference(resolve,[status(thm)],[c_25,c_62]) ).
cnf(c_64,plain,
( ~ p_5_5
| ~ p_5_4
| p_4_2 ),
inference(resolve,[status(thm)],[c_26,c_63]) ).
cnf(c_65,plain,
( ~ p_5_5
| p_4_2 ),
inference(resolve,[status(thm)],[c_27,c_64]) ).
cnf(c_32,plain,
p_4_2,
inference(resolve,[status(thm)],[c_28,c_65]) ).
cnf(c_66,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| p_4_1 ),
inference(resolve,[status(thm)],[c_24,c_19]) ).
cnf(c_67,plain,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| p_4_1 ),
inference(resolve,[status(thm)],[c_25,c_66]) ).
cnf(c_68,plain,
( ~ p_5_5
| ~ p_5_4
| p_4_1 ),
inference(resolve,[status(thm)],[c_26,c_67]) ).
cnf(c_69,plain,
( ~ p_5_5
| p_4_1 ),
inference(resolve,[status(thm)],[c_27,c_68]) ).
cnf(c_33,plain,
p_4_1,
inference(resolve,[status(thm)],[c_28,c_69]) ).
cnf(c_70,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| p_3_5 ),
inference(resolve,[status(thm)],[c_33,c_18]) ).
cnf(c_71,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| p_3_5 ),
inference(resolve,[status(thm)],[c_32,c_70]) ).
cnf(c_72,plain,
( ~ p_4_5
| ~ p_4_4
| p_3_5 ),
inference(resolve,[status(thm)],[c_31,c_71]) ).
cnf(c_73,plain,
( ~ p_4_5
| p_3_5 ),
inference(resolve,[status(thm)],[c_30,c_72]) ).
cnf(c_34,plain,
p_3_5,
inference(resolve,[status(thm)],[c_29,c_73]) ).
cnf(c_74,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| p_3_4 ),
inference(resolve,[status(thm)],[c_33,c_17]) ).
cnf(c_75,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| p_3_4 ),
inference(resolve,[status(thm)],[c_32,c_74]) ).
cnf(c_76,plain,
( ~ p_4_5
| ~ p_4_4
| p_3_4 ),
inference(resolve,[status(thm)],[c_31,c_75]) ).
cnf(c_77,plain,
( ~ p_4_5
| p_3_4 ),
inference(resolve,[status(thm)],[c_30,c_76]) ).
cnf(c_35,plain,
p_3_4,
inference(resolve,[status(thm)],[c_29,c_77]) ).
cnf(c_78,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| p_3_3 ),
inference(resolve,[status(thm)],[c_33,c_16]) ).
cnf(c_79,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| p_3_3 ),
inference(resolve,[status(thm)],[c_32,c_78]) ).
cnf(c_80,plain,
( ~ p_4_5
| ~ p_4_4
| p_3_3 ),
inference(resolve,[status(thm)],[c_31,c_79]) ).
cnf(c_81,plain,
( ~ p_4_5
| p_3_3 ),
inference(resolve,[status(thm)],[c_30,c_80]) ).
cnf(c_36,plain,
p_3_3,
inference(resolve,[status(thm)],[c_29,c_81]) ).
cnf(c_82,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| p_3_2 ),
inference(resolve,[status(thm)],[c_33,c_15]) ).
cnf(c_83,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| p_3_2 ),
inference(resolve,[status(thm)],[c_32,c_82]) ).
cnf(c_84,plain,
( ~ p_4_5
| ~ p_4_4
| p_3_2 ),
inference(resolve,[status(thm)],[c_31,c_83]) ).
cnf(c_85,plain,
( ~ p_4_5
| p_3_2 ),
inference(resolve,[status(thm)],[c_30,c_84]) ).
cnf(c_37,plain,
p_3_2,
inference(resolve,[status(thm)],[c_29,c_85]) ).
cnf(c_86,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| p_3_1 ),
inference(resolve,[status(thm)],[c_33,c_14]) ).
cnf(c_87,plain,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| p_3_1 ),
inference(resolve,[status(thm)],[c_32,c_86]) ).
cnf(c_88,plain,
( ~ p_4_5
| ~ p_4_4
| p_3_1 ),
inference(resolve,[status(thm)],[c_31,c_87]) ).
cnf(c_89,plain,
( ~ p_4_5
| p_3_1 ),
inference(resolve,[status(thm)],[c_30,c_88]) ).
cnf(c_38,plain,
p_3_1,
inference(resolve,[status(thm)],[c_29,c_89]) ).
cnf(c_90,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| p_2_5 ),
inference(resolve,[status(thm)],[c_38,c_13]) ).
cnf(c_91,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| p_2_5 ),
inference(resolve,[status(thm)],[c_37,c_90]) ).
cnf(c_92,plain,
( ~ p_3_5
| ~ p_3_4
| p_2_5 ),
inference(resolve,[status(thm)],[c_36,c_91]) ).
cnf(c_93,plain,
( ~ p_3_5
| p_2_5 ),
inference(resolve,[status(thm)],[c_35,c_92]) ).
cnf(c_39,plain,
p_2_5,
inference(resolve,[status(thm)],[c_34,c_93]) ).
cnf(c_94,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| p_2_4 ),
inference(resolve,[status(thm)],[c_38,c_12]) ).
cnf(c_95,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| p_2_4 ),
inference(resolve,[status(thm)],[c_37,c_94]) ).
cnf(c_96,plain,
( ~ p_3_5
| ~ p_3_4
| p_2_4 ),
inference(resolve,[status(thm)],[c_36,c_95]) ).
cnf(c_97,plain,
( ~ p_3_5
| p_2_4 ),
inference(resolve,[status(thm)],[c_35,c_96]) ).
cnf(c_40,plain,
p_2_4,
inference(resolve,[status(thm)],[c_34,c_97]) ).
cnf(c_98,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| p_2_3 ),
inference(resolve,[status(thm)],[c_38,c_11]) ).
cnf(c_99,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| p_2_3 ),
inference(resolve,[status(thm)],[c_37,c_98]) ).
cnf(c_100,plain,
( ~ p_3_5
| ~ p_3_4
| p_2_3 ),
inference(resolve,[status(thm)],[c_36,c_99]) ).
cnf(c_101,plain,
( ~ p_3_5
| p_2_3 ),
inference(resolve,[status(thm)],[c_35,c_100]) ).
cnf(c_41,plain,
p_2_3,
inference(resolve,[status(thm)],[c_34,c_101]) ).
cnf(c_102,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| p_2_2 ),
inference(resolve,[status(thm)],[c_38,c_10]) ).
cnf(c_103,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| p_2_2 ),
inference(resolve,[status(thm)],[c_37,c_102]) ).
cnf(c_104,plain,
( ~ p_3_5
| ~ p_3_4
| p_2_2 ),
inference(resolve,[status(thm)],[c_36,c_103]) ).
cnf(c_105,plain,
( ~ p_3_5
| p_2_2 ),
inference(resolve,[status(thm)],[c_35,c_104]) ).
cnf(c_42,plain,
p_2_2,
inference(resolve,[status(thm)],[c_34,c_105]) ).
cnf(c_106,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| p_2_1 ),
inference(resolve,[status(thm)],[c_38,c_9]) ).
cnf(c_107,plain,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| p_2_1 ),
inference(resolve,[status(thm)],[c_37,c_106]) ).
cnf(c_108,plain,
( ~ p_3_5
| ~ p_3_4
| p_2_1 ),
inference(resolve,[status(thm)],[c_36,c_107]) ).
cnf(c_109,plain,
( ~ p_3_5
| p_2_1 ),
inference(resolve,[status(thm)],[c_35,c_108]) ).
cnf(c_43,plain,
p_2_1,
inference(resolve,[status(thm)],[c_34,c_109]) ).
cnf(c_110,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| p_1_5 ),
inference(resolve,[status(thm)],[c_43,c_8]) ).
cnf(c_111,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| p_1_5 ),
inference(resolve,[status(thm)],[c_42,c_110]) ).
cnf(c_112,plain,
( ~ p_2_5
| ~ p_2_4
| p_1_5 ),
inference(resolve,[status(thm)],[c_41,c_111]) ).
cnf(c_113,plain,
( ~ p_2_5
| p_1_5 ),
inference(resolve,[status(thm)],[c_40,c_112]) ).
cnf(c_44,plain,
p_1_5,
inference(resolve,[status(thm)],[c_39,c_113]) ).
cnf(c_114,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| p_1_4 ),
inference(resolve,[status(thm)],[c_43,c_7]) ).
cnf(c_115,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| p_1_4 ),
inference(resolve,[status(thm)],[c_42,c_114]) ).
cnf(c_116,plain,
( ~ p_2_5
| ~ p_2_4
| p_1_4 ),
inference(resolve,[status(thm)],[c_41,c_115]) ).
cnf(c_117,plain,
( ~ p_2_5
| p_1_4 ),
inference(resolve,[status(thm)],[c_40,c_116]) ).
cnf(c_45,plain,
p_1_4,
inference(resolve,[status(thm)],[c_39,c_117]) ).
cnf(c_118,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| p_1_3 ),
inference(resolve,[status(thm)],[c_43,c_6]) ).
cnf(c_119,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| p_1_3 ),
inference(resolve,[status(thm)],[c_42,c_118]) ).
cnf(c_120,plain,
( ~ p_2_5
| ~ p_2_4
| p_1_3 ),
inference(resolve,[status(thm)],[c_41,c_119]) ).
cnf(c_121,plain,
( ~ p_2_5
| p_1_3 ),
inference(resolve,[status(thm)],[c_40,c_120]) ).
cnf(c_46,plain,
p_1_3,
inference(resolve,[status(thm)],[c_39,c_121]) ).
cnf(c_122,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| p_1_2 ),
inference(resolve,[status(thm)],[c_43,c_5]) ).
cnf(c_123,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| p_1_2 ),
inference(resolve,[status(thm)],[c_42,c_122]) ).
cnf(c_124,plain,
( ~ p_2_5
| ~ p_2_4
| p_1_2 ),
inference(resolve,[status(thm)],[c_41,c_123]) ).
cnf(c_125,plain,
( ~ p_2_5
| p_1_2 ),
inference(resolve,[status(thm)],[c_40,c_124]) ).
cnf(c_47,plain,
p_1_2,
inference(resolve,[status(thm)],[c_39,c_125]) ).
cnf(c_126,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| p_1_1 ),
inference(resolve,[status(thm)],[c_43,c_4]) ).
cnf(c_127,plain,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| p_1_1 ),
inference(resolve,[status(thm)],[c_42,c_126]) ).
cnf(c_128,plain,
( ~ p_2_5
| ~ p_2_4
| p_1_1 ),
inference(resolve,[status(thm)],[c_41,c_127]) ).
cnf(c_129,plain,
( ~ p_2_5
| p_1_1 ),
inference(resolve,[status(thm)],[c_40,c_128]) ).
cnf(c_48,plain,
p_1_1,
inference(resolve,[status(thm)],[c_39,c_129]) ).
cnf(c_130,plain,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2 ),
inference(resolve,[status(thm)],[c_48,c_3]) ).
cnf(c_131,plain,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3 ),
inference(resolve,[status(thm)],[c_47,c_130]) ).
cnf(c_132,plain,
( ~ p_1_5
| ~ p_1_4 ),
inference(resolve,[status(thm)],[c_46,c_131]) ).
cnf(c_133,plain,
~ p_1_5,
inference(resolve,[status(thm)],[c_45,c_132]) ).
cnf(c_49,plain,
$false,
inference(resolve,[status(thm)],[c_44,c_133]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/10.43 % Computer : n016.cluster.edu
% 0.16/10.43 % Model : x86_64 x86_64
% 0.16/10.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.43 % Memory : 8046.5625MB
% 0.16/10.43 % OS : Linux 6.8.0-71-generic
% 0.16/10.43 % CPULimit : 300
% 0.16/10.43 % WCLimit : 300
% 0.16/10.43 % DateTime : Sat Sep 26 17:09:11 UTC 2026
% 0.16/10.43 % CPUTime :
% 0.16/10.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/10.43 % Process 1349367 was started by sandbox2 on n016,
% 0.16/10.43 % Sat Sep 26 17:09:11 2026
% 0.16/10.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.16/10.44
% 0.16/10.44 % From the command line: assign(max_seconds, 300).
% 0.16/10.45
% 0.16/10.45 % SZS status Unsatisfiable for theBenchmark
% 0.16/10.45
% 0.16/10.45 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.16/10.45 % Length of proof is 49.
% 0.16/10.45 % Level of proof is 5.
% 0.16/10.45 % Maximum clause weight is 6.000.
% 0.16/10.45 % Given clauses 0.
% 0.16/10.45
% 0.16/10.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------