%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN037-1 : 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 : n003.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 09:36:48 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.41s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 98
% Number of leaves : 35
% Syntax : Number of formulae : 232 ( 15 unt; 0 def)
% Number of atoms : 666 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 603 ( 169 ~; 434 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 9 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 82 ( 52 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(clause_14,axiom,
( n5(s6)
| ~ n6 ),
file('theBenchmark.p',clause_14) ).
cnf(c_1,plain,
( n5(s6)
| ~ n6 ),
inference(clausify,[status(thm)],[clause_14]) ).
fof(clause_13,axiom,
! [VAR_0] :
( n6
| ~ n5(VAR_0) ),
file('theBenchmark.p',clause_13) ).
cnf(c_2,plain,
( n6
| ~ n5(A) ),
inference(clausify,[status(thm)],[clause_13]) ).
fof(clause_15,axiom,
! [VAR_0] :
( n5(VAR_0)
| ~ q(VAR_0)
| ~ q(s5(VAR_0)) ),
file('theBenchmark.p',clause_15) ).
cnf(c_3,plain,
( n5(A)
| ~ q(A)
| ~ q(s5(A)) ),
inference(clausify,[status(thm)],[clause_15]) ).
fof(clause_16,axiom,
! [VAR_0] :
( n5(VAR_0)
| q(VAR_0)
| q(s5(VAR_0)) ),
file('theBenchmark.p',clause_16) ).
cnf(c_4,plain,
( n5(A)
| q(A)
| q(s5(A)) ),
inference(clausify,[status(thm)],[clause_16]) ).
fof(clause_17,axiom,
! [VAR_0,VAR_1] :
( q(VAR_0)
| ~ q(VAR_1)
| ~ n5(VAR_0) ),
file('theBenchmark.p',clause_17) ).
cnf(c_5,plain,
( q(A)
| ~ q(B)
| ~ n5(A) ),
inference(clausify,[status(thm)],[clause_17]) ).
fof(clause_18,axiom,
! [VAR_0,VAR_1] :
( ~ q(VAR_0)
| q(VAR_1)
| ~ n5(VAR_0) ),
file('theBenchmark.p',clause_18) ).
cnf(c_6,plain,
( ~ q(A)
| q(B)
| ~ n5(A) ),
inference(clausify,[status(thm)],[clause_18]) ).
fof(clause_26,axiom,
! [VAR_0] :
( n1(VAR_0)
| p(s1(VAR_0))
| p(VAR_0) ),
file('theBenchmark.p',clause_26) ).
cnf(c_7,plain,
( n1(A)
| p(s1(A))
| p(A) ),
inference(clausify,[status(thm)],[clause_26]) ).
fof(clause_27,axiom,
! [VAR_0,VAR_1] :
( p(VAR_1)
| ~ p(VAR_0)
| ~ n1(VAR_0) ),
file('theBenchmark.p',clause_27) ).
cnf(c_8,plain,
( p(B)
| ~ p(A)
| ~ n1(A) ),
inference(clausify,[status(thm)],[clause_27]) ).
fof(clause_28,axiom,
! [VAR_0,VAR_1] :
( ~ p(VAR_1)
| p(VAR_0)
| ~ n1(VAR_0) ),
file('theBenchmark.p',clause_28) ).
cnf(c_9,plain,
( ~ p(B)
| p(A)
| ~ n1(A) ),
inference(clausify,[status(thm)],[clause_28]) ).
fof(clause_25,axiom,
! [VAR_0] :
( n1(VAR_0)
| ~ p(s1(VAR_0))
| ~ p(VAR_0) ),
file('theBenchmark.p',clause_25) ).
cnf(c_10,plain,
( n1(A)
| ~ p(s1(A))
| ~ p(A) ),
inference(clausify,[status(thm)],[clause_25]) ).
fof(clause_24,axiom,
( n1(s2)
| ~ n2 ),
file('theBenchmark.p',clause_24) ).
cnf(c_11,plain,
( n1(s2)
| ~ n2 ),
inference(clausify,[status(thm)],[clause_24]) ).
fof(clause_23,axiom,
! [VAR_0] :
( n2
| ~ n1(VAR_0) ),
file('theBenchmark.p',clause_23) ).
cnf(c_12,plain,
( n2
| ~ n1(A) ),
inference(clausify,[status(thm)],[clause_23]) ).
cnf(c_13,plain,
( p(s1(A))
| p(A)
| n2 ),
inference(resolve,[status(thm)],[c_12,c_7]) ).
cnf(c_14,plain,
( ~ p(s1(A))
| ~ p(A)
| n2 ),
inference(resolve,[status(thm)],[c_12,c_10]) ).
cnf(c_15,plain,
( ~ p(A)
| p(s2)
| ~ n2 ),
inference(resolve,[status(thm)],[c_11,c_9]) ).
cnf(c_16,plain,
( p(A)
| ~ p(s2)
| ~ n2 ),
inference(resolve,[status(thm)],[c_11,c_8]) ).
fof(clause_1,axiom,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
file('theBenchmark.p',clause_1) ).
cnf(c_21,plain,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
inference(clausify,[status(thm)],[clause_1]) ).
fof(clause_2,axiom,
( n10
| n6
| ~ n9
| ~ n2 ),
file('theBenchmark.p',clause_2) ).
cnf(c_22,plain,
( n10
| n6
| ~ n9
| ~ n2 ),
inference(clausify,[status(thm)],[clause_2]) ).
fof(clause_3,axiom,
( ~ n10
| ~ n6
| n9
| n2 ),
file('theBenchmark.p',clause_3) ).
cnf(c_23,plain,
( ~ n10
| ~ n6
| n9
| n2 ),
inference(clausify,[status(thm)],[clause_3]) ).
fof(clause_4,axiom,
( n10
| n6
| n9
| n2 ),
file('theBenchmark.p',clause_4) ).
cnf(c_24,plain,
( n10
| n6
| n9
| n2 ),
inference(clausify,[status(thm)],[clause_4]) ).
fof(clause_5,axiom,
( n10
| ~ n6
| n9
| ~ n2 ),
file('theBenchmark.p',clause_5) ).
cnf(c_25,plain,
( n10
| ~ n6
| n9
| ~ n2 ),
inference(clausify,[status(thm)],[clause_5]) ).
fof(clause_6,axiom,
( ~ n10
| n6
| n9
| ~ n2 ),
file('theBenchmark.p',clause_6) ).
cnf(c_26,plain,
( ~ n10
| n6
| n9
| ~ n2 ),
inference(clausify,[status(thm)],[clause_6]) ).
fof(clause_7,axiom,
( n10
| ~ n6
| ~ n9
| n2 ),
file('theBenchmark.p',clause_7) ).
cnf(c_27,plain,
( n10
| ~ n6
| ~ n9
| n2 ),
inference(clausify,[status(thm)],[clause_7]) ).
fof(clause_9,axiom,
( n8
| ~ q(s8) ),
file('theBenchmark.p',clause_9) ).
cnf(c_29,plain,
( n8
| ~ q(s8) ),
inference(clausify,[status(thm)],[clause_9]) ).
fof(clause_10,axiom,
! [VAR_0] :
( q(VAR_0)
| ~ n8 ),
file('theBenchmark.p',clause_10) ).
cnf(c_30,plain,
( q(A)
| ~ n8 ),
inference(clausify,[status(thm)],[clause_10]) ).
fof(clause_11,axiom,
! [VAR_0] :
( n7
| ~ p(VAR_0) ),
file('theBenchmark.p',clause_11) ).
cnf(c_31,plain,
( n7
| ~ p(A) ),
inference(clausify,[status(thm)],[clause_11]) ).
fof(clause_12,axiom,
( p(s7)
| ~ n7 ),
file('theBenchmark.p',clause_12) ).
cnf(c_32,plain,
( p(s7)
| ~ n7 ),
inference(clausify,[status(thm)],[clause_12]) ).
fof(clause_19,axiom,
( n4
| ~ p(s4) ),
file('theBenchmark.p',clause_19) ).
cnf(c_33,plain,
( n4
| ~ p(s4) ),
inference(clausify,[status(thm)],[clause_19]) ).
fof(clause_20,axiom,
! [VAR_0] :
( p(VAR_0)
| ~ n4 ),
file('theBenchmark.p',clause_20) ).
cnf(c_34,plain,
( p(A)
| ~ n4 ),
inference(clausify,[status(thm)],[clause_20]) ).
fof(clause_21,axiom,
! [VAR_0] :
( n3
| ~ q(VAR_0) ),
file('theBenchmark.p',clause_21) ).
cnf(c_35,plain,
( n3
| ~ q(A) ),
inference(clausify,[status(thm)],[clause_21]) ).
fof(clause_22,axiom,
( q(s3)
| ~ n3 ),
file('theBenchmark.p',clause_22) ).
cnf(c_36,plain,
( q(s3)
| ~ n3 ),
inference(clausify,[status(thm)],[clause_22]) ).
fof(clause_29,axiom,
( n9
| ~ n4
| ~ n3 ),
file('theBenchmark.p',clause_29) ).
cnf(c_37,plain,
( n9
| ~ n4
| ~ n3 ),
inference(clausify,[status(thm)],[clause_29]) ).
fof(clause_30,axiom,
( n9
| n4
| n3 ),
file('theBenchmark.p',clause_30) ).
cnf(c_38,plain,
( n9
| n4
| n3 ),
inference(clausify,[status(thm)],[clause_30]) ).
fof(clause_31,axiom,
( ~ n9
| n4
| ~ n3 ),
file('theBenchmark.p',clause_31) ).
cnf(c_39,plain,
( ~ n9
| n4
| ~ n3 ),
inference(clausify,[status(thm)],[clause_31]) ).
fof(clause_32,axiom,
( ~ n9
| ~ n4
| n3 ),
file('theBenchmark.p',clause_32) ).
cnf(c_40,plain,
( ~ n9
| ~ n4
| n3 ),
inference(clausify,[status(thm)],[clause_32]) ).
fof(clause_33,axiom,
( n10
| ~ n8
| ~ n7 ),
file('theBenchmark.p',clause_33) ).
cnf(c_41,plain,
( n10
| ~ n8
| ~ n7 ),
inference(clausify,[status(thm)],[clause_33]) ).
fof(clause_34,axiom,
( n10
| n8
| n7 ),
file('theBenchmark.p',clause_34) ).
cnf(c_42,plain,
( n10
| n8
| n7 ),
inference(clausify,[status(thm)],[clause_34]) ).
fof(clause_35,axiom,
( ~ n10
| n8
| ~ n7 ),
file('theBenchmark.p',clause_35) ).
cnf(c_43,plain,
( ~ n10
| n8
| ~ n7 ),
inference(clausify,[status(thm)],[clause_35]) ).
fof(clause_36,axiom,
( ~ n10
| ~ n8
| n7 ),
file('theBenchmark.p',clause_36) ).
cnf(c_44,plain,
( ~ n10
| ~ n8
| n7 ),
inference(clausify,[status(thm)],[clause_36]) ).
cnf(c_45,plain,
( n6
| ~ q(A)
| ~ q(s5(A)) ),
inference(resolve,[status(thm)],[c_3,c_2]) ).
cnf(c_46,plain,
( n6
| q(A)
| q(s5(A)) ),
inference(resolve,[status(thm)],[c_4,c_2]) ).
cnf(c_49,plain,
( ~ n6
| q(s6)
| ~ q(A) ),
inference(resolve,[status(thm)],[c_5,c_1]) ).
cnf(c_52,plain,
( ~ n6
| ~ q(s6)
| q(A) ),
inference(resolve,[status(thm)],[c_6,c_1]) ).
cnf(c_53,plain,
( p(A)
| n2
| n7 ),
inference(resolve,[status(thm)],[c_31,c_13]) ).
cnf(c_54,plain,
( p(A)
| n9
| n3 ),
inference(resolve,[status(thm)],[c_38,c_34]) ).
cnf(c_55,plain,
( q(A)
| n10
| n7 ),
inference(resolve,[status(thm)],[c_42,c_30]) ).
cnf(c_56,plain,
( n3
| n6
| q(A) ),
inference(resolve,[status(thm)],[c_46,c_35]) ).
cnf(c_168,plain,
( n7
| n2
| n7 ),
inference(resolve,[status(thm)],[c_53,c_31]) ).
cnf(c_58,plain,
( n2
| n7 ),
inference(copy,[status(thm)],[c_168]) ).
cnf(c_59,plain,
( ~ n10
| n8
| n2 ),
inference(resolve,[status(thm)],[c_58,c_43]) ).
cnf(c_60,plain,
( p(s7)
| n2 ),
inference(resolve,[status(thm)],[c_58,c_32]) ).
cnf(c_61,plain,
( n7
| n9
| n3 ),
inference(resolve,[status(thm)],[c_54,c_31]) ).
cnf(c_62,plain,
( ~ p(A)
| n2
| n9
| n3 ),
inference(resolve,[status(thm)],[c_54,c_14]) ).
cnf(c_63,plain,
( n6
| ~ q(A)
| n10
| n7 ),
inference(resolve,[status(thm)],[c_55,c_45]) ).
cnf(c_64,plain,
( n3
| n10
| n7 ),
inference(resolve,[status(thm)],[c_55,c_35]) ).
cnf(c_65,plain,
( ~ n10
| n8
| n9
| n3 ),
inference(resolve,[status(thm)],[c_61,c_43]) ).
cnf(c_66,plain,
( p(s7)
| n3
| n10 ),
inference(resolve,[status(thm)],[c_64,c_32]) ).
cnf(c_169,plain,
( n3
| n3
| n6 ),
inference(resolve,[status(thm)],[c_56,c_35]) ).
cnf(c_67,plain,
( n3
| n6 ),
inference(copy,[status(thm)],[c_169]) ).
cnf(c_68,plain,
( ~ n9
| n4
| n6 ),
inference(resolve,[status(thm)],[c_67,c_39]) ).
cnf(c_69,plain,
( q(s3)
| n6 ),
inference(resolve,[status(thm)],[c_67,c_36]) ).
cnf(c_170,plain,
( n2
| n2
| n9
| n3 ),
inference(resolve,[status(thm)],[c_62,c_60]) ).
cnf(c_70,plain,
( n2
| n9
| n3 ),
inference(copy,[status(thm)],[c_170]) ).
cnf(c_171,plain,
( n10
| n6
| n2
| n4
| n6 ),
inference(resolve,[status(thm)],[c_68,c_24]) ).
cnf(c_71,plain,
( n10
| n2
| n4
| n6 ),
inference(copy,[status(thm)],[c_171]) ).
cnf(c_72,plain,
( q(s3)
| n2
| n9 ),
inference(resolve,[status(thm)],[c_70,c_36]) ).
cnf(c_172,plain,
( n6
| n6
| n10
| n7 ),
inference(resolve,[status(thm)],[c_63,c_69]) ).
cnf(c_73,plain,
( n6
| n10
| n7 ),
inference(copy,[status(thm)],[c_172]) ).
cnf(c_74,plain,
( p(s7)
| n6
| n10 ),
inference(resolve,[status(thm)],[c_73,c_32]) ).
cnf(c_76,plain,
( p(s2)
| ~ n2
| n3
| n10 ),
inference(resolve,[status(thm)],[c_66,c_15]) ).
cnf(c_77,plain,
( p(A)
| n10
| n2
| n6 ),
inference(resolve,[status(thm)],[c_71,c_34]) ).
cnf(c_78,plain,
( ~ n6
| q(s6)
| n2
| n9 ),
inference(resolve,[status(thm)],[c_72,c_49]) ).
cnf(c_81,plain,
( p(s2)
| ~ n2
| n6
| n10 ),
inference(resolve,[status(thm)],[c_74,c_15]) ).
cnf(c_173,plain,
( ~ p(A)
| n2
| n10
| n2
| n6 ),
inference(resolve,[status(thm)],[c_77,c_14]) ).
cnf(c_82,plain,
( ~ p(A)
| n10
| n2
| n6 ),
inference(copy,[status(thm)],[c_173]) ).
cnf(c_174,plain,
( n10
| n2
| n6
| n10
| n2
| n6 ),
inference(resolve,[status(thm)],[c_82,c_77]) ).
cnf(c_175,plain,
( n10
| n2
| n10
| n2
| n6 ),
inference(copy,[status(thm)],[c_174]) ).
cnf(c_176,plain,
( n10
| n10
| n2
| n6 ),
inference(copy,[status(thm)],[c_175]) ).
cnf(c_83,plain,
( n10
| n2
| n6 ),
inference(copy,[status(thm)],[c_176]) ).
cnf(c_177,plain,
( q(s6)
| n2
| n9
| n10
| n2 ),
inference(resolve,[status(thm)],[c_83,c_78]) ).
cnf(c_84,plain,
( q(s6)
| n9
| n10
| n2 ),
inference(copy,[status(thm)],[c_177]) ).
cnf(c_85,plain,
( ~ n6
| q(A)
| n9
| n10
| n2 ),
inference(resolve,[status(thm)],[c_84,c_52]) ).
cnf(c_178,plain,
( n10
| n2
| q(A)
| n9
| n10
| n2 ),
inference(resolve,[status(thm)],[c_85,c_83]) ).
cnf(c_179,plain,
( n10
| q(A)
| n9
| n10
| n2 ),
inference(copy,[status(thm)],[c_178]) ).
cnf(c_86,plain,
( q(A)
| n9
| n10
| n2 ),
inference(copy,[status(thm)],[c_179]) ).
cnf(c_87,plain,
( n8
| n9
| n10
| n2 ),
inference(resolve,[status(thm)],[c_86,c_29]) ).
cnf(c_180,plain,
( n10
| ~ n7
| n9
| n10
| n2 ),
inference(resolve,[status(thm)],[c_87,c_41]) ).
cnf(c_88,plain,
( ~ n7
| n9
| n10
| n2 ),
inference(copy,[status(thm)],[c_180]) ).
cnf(c_181,plain,
( n2
| n9
| n10
| n2 ),
inference(resolve,[status(thm)],[c_88,c_58]) ).
cnf(c_89,plain,
( n9
| n10
| n2 ),
inference(copy,[status(thm)],[c_181]) ).
cnf(c_182,plain,
( n10
| ~ n6
| n2
| n10
| n2 ),
inference(resolve,[status(thm)],[c_89,c_27]) ).
cnf(c_183,plain,
( n10
| ~ n6
| n10
| n2 ),
inference(copy,[status(thm)],[c_182]) ).
cnf(c_90,plain,
( ~ n6
| n10
| n2 ),
inference(copy,[status(thm)],[c_183]) ).
cnf(c_184,plain,
( n10
| n2
| n10
| n2 ),
inference(resolve,[status(thm)],[c_90,c_83]) ).
cnf(c_185,plain,
( n10
| n10
| n2 ),
inference(copy,[status(thm)],[c_184]) ).
cnf(c_91,plain,
( n10
| n2 ),
inference(copy,[status(thm)],[c_185]) ).
cnf(c_186,plain,
( p(s2)
| n6
| n10
| n10 ),
inference(resolve,[status(thm)],[c_91,c_81]) ).
cnf(c_92,plain,
( p(s2)
| n6
| n10 ),
inference(copy,[status(thm)],[c_186]) ).
cnf(c_187,plain,
( p(s2)
| n3
| n10
| n10 ),
inference(resolve,[status(thm)],[c_91,c_76]) ).
cnf(c_93,plain,
( p(s2)
| n3
| n10 ),
inference(copy,[status(thm)],[c_187]) ).
cnf(c_94,plain,
( p(A)
| ~ n2
| n6
| n10 ),
inference(resolve,[status(thm)],[c_92,c_16]) ).
cnf(c_95,plain,
( p(A)
| ~ n2
| n3
| n10 ),
inference(resolve,[status(thm)],[c_93,c_16]) ).
cnf(c_188,plain,
( n10
| p(A)
| n6
| n10 ),
inference(resolve,[status(thm)],[c_94,c_91]) ).
cnf(c_96,plain,
( p(A)
| n6
| n10 ),
inference(copy,[status(thm)],[c_188]) ).
cnf(c_97,plain,
( n4
| n6
| n10 ),
inference(resolve,[status(thm)],[c_96,c_33]) ).
cnf(c_98,plain,
( n9
| ~ n3
| n6
| n10 ),
inference(resolve,[status(thm)],[c_97,c_37]) ).
cnf(c_189,plain,
( n6
| n9
| n6
| n10 ),
inference(resolve,[status(thm)],[c_98,c_67]) ).
cnf(c_99,plain,
( n9
| n6
| n10 ),
inference(copy,[status(thm)],[c_189]) ).
cnf(c_190,plain,
( n10
| n6
| ~ n2
| n6
| n10 ),
inference(resolve,[status(thm)],[c_99,c_22]) ).
cnf(c_191,plain,
( n10
| ~ n2
| n6
| n10 ),
inference(copy,[status(thm)],[c_190]) ).
cnf(c_100,plain,
( ~ n2
| n6
| n10 ),
inference(copy,[status(thm)],[c_191]) ).
cnf(c_192,plain,
( n10
| p(A)
| n3
| n10 ),
inference(resolve,[status(thm)],[c_95,c_91]) ).
cnf(c_101,plain,
( p(A)
| n3
| n10 ),
inference(copy,[status(thm)],[c_192]) ).
cnf(c_193,plain,
( n10
| n6
| n10 ),
inference(resolve,[status(thm)],[c_100,c_91]) ).
cnf(c_102,plain,
( n6
| n10 ),
inference(copy,[status(thm)],[c_193]) ).
cnf(c_194,plain,
( n10
| n9
| ~ n2
| n10 ),
inference(resolve,[status(thm)],[c_102,c_25]) ).
cnf(c_103,plain,
( n9
| ~ n2
| n10 ),
inference(copy,[status(thm)],[c_194]) ).
cnf(c_195,plain,
( n10
| n9
| n10 ),
inference(resolve,[status(thm)],[c_103,c_91]) ).
cnf(c_104,plain,
( n9
| n10 ),
inference(copy,[status(thm)],[c_195]) ).
cnf(c_105,plain,
( n4
| n3
| n10 ),
inference(resolve,[status(thm)],[c_101,c_33]) ).
cnf(c_196,plain,
( ~ n9
| n3
| n3
| n10 ),
inference(resolve,[status(thm)],[c_105,c_40]) ).
cnf(c_106,plain,
( ~ n9
| n3
| n10 ),
inference(copy,[status(thm)],[c_196]) ).
cnf(c_197,plain,
( n10
| n3
| n10 ),
inference(resolve,[status(thm)],[c_106,c_104]) ).
cnf(c_107,plain,
( n3
| n10 ),
inference(copy,[status(thm)],[c_197]) ).
cnf(c_108,plain,
( ~ n9
| n4
| n10 ),
inference(resolve,[status(thm)],[c_107,c_39]) ).
cnf(c_109,plain,
( q(s3)
| n10 ),
inference(resolve,[status(thm)],[c_107,c_36]) ).
cnf(c_198,plain,
( n10
| n4
| n10 ),
inference(resolve,[status(thm)],[c_108,c_104]) ).
cnf(c_110,plain,
( n4
| n10 ),
inference(copy,[status(thm)],[c_198]) ).
cnf(c_111,plain,
( ~ n6
| q(s6)
| n10 ),
inference(resolve,[status(thm)],[c_109,c_49]) ).
cnf(c_113,plain,
( p(A)
| n10 ),
inference(resolve,[status(thm)],[c_110,c_34]) ).
cnf(c_114,plain,
( n7
| n10 ),
inference(resolve,[status(thm)],[c_113,c_31]) ).
cnf(c_199,plain,
( n10
| q(s6)
| n10 ),
inference(resolve,[status(thm)],[c_111,c_102]) ).
cnf(c_115,plain,
( q(s6)
| n10 ),
inference(copy,[status(thm)],[c_199]) ).
cnf(c_116,plain,
( ~ n6
| q(A)
| n10 ),
inference(resolve,[status(thm)],[c_115,c_52]) ).
cnf(c_200,plain,
( n10
| q(A)
| n10 ),
inference(resolve,[status(thm)],[c_116,c_102]) ).
cnf(c_117,plain,
( q(A)
| n10 ),
inference(copy,[status(thm)],[c_200]) ).
cnf(c_118,plain,
( n8
| n10 ),
inference(resolve,[status(thm)],[c_117,c_29]) ).
cnf(c_201,plain,
( n10
| ~ n7
| n10 ),
inference(resolve,[status(thm)],[c_118,c_41]) ).
cnf(c_119,plain,
( ~ n7
| n10 ),
inference(copy,[status(thm)],[c_201]) ).
cnf(c_202,plain,
( n10
| n10 ),
inference(resolve,[status(thm)],[c_119,c_114]) ).
cnf(c_120,plain,
n10,
inference(copy,[status(thm)],[c_202]) ).
cnf(c_121,plain,
( n8
| n9
| n3 ),
inference(resolve,[status(thm)],[c_120,c_65]) ).
cnf(c_122,plain,
( n8
| n2 ),
inference(resolve,[status(thm)],[c_120,c_59]) ).
cnf(c_123,plain,
( ~ n8
| n7 ),
inference(resolve,[status(thm)],[c_120,c_44]) ).
cnf(c_124,plain,
( n8
| ~ n7 ),
inference(resolve,[status(thm)],[c_120,c_43]) ).
cnf(c_126,plain,
( n6
| n9
| ~ n2 ),
inference(resolve,[status(thm)],[c_120,c_26]) ).
cnf(c_127,plain,
( ~ n6
| n9
| n2 ),
inference(resolve,[status(thm)],[c_120,c_23]) ).
cnf(c_128,plain,
( ~ n6
| ~ n9
| ~ n2 ),
inference(resolve,[status(thm)],[c_120,c_21]) ).
cnf(c_129,plain,
( q(A)
| n2 ),
inference(resolve,[status(thm)],[c_122,c_30]) ).
cnf(c_130,plain,
( q(A)
| n9
| n3 ),
inference(resolve,[status(thm)],[c_121,c_30]) ).
cnf(c_131,plain,
( n6
| ~ q(A)
| n2 ),
inference(resolve,[status(thm)],[c_129,c_45]) ).
cnf(c_132,plain,
( n3
| n2 ),
inference(resolve,[status(thm)],[c_129,c_35]) ).
cnf(c_203,plain,
( n3
| n9
| n3 ),
inference(resolve,[status(thm)],[c_130,c_35]) ).
cnf(c_133,plain,
( n9
| n3 ),
inference(copy,[status(thm)],[c_203]) ).
cnf(c_134,plain,
( ~ n9
| n4
| n2 ),
inference(resolve,[status(thm)],[c_132,c_39]) ).
cnf(c_135,plain,
( q(s3)
| n9 ),
inference(resolve,[status(thm)],[c_133,c_36]) ).
cnf(c_136,plain,
( ~ n6
| q(s6)
| n9 ),
inference(resolve,[status(thm)],[c_135,c_49]) ).
cnf(c_204,plain,
( n2
| n6
| n2 ),
inference(resolve,[status(thm)],[c_131,c_129]) ).
cnf(c_139,plain,
( n6
| n2 ),
inference(copy,[status(thm)],[c_204]) ).
cnf(c_205,plain,
( n9
| n2
| n2 ),
inference(resolve,[status(thm)],[c_139,c_127]) ).
cnf(c_140,plain,
( n9
| n2 ),
inference(copy,[status(thm)],[c_205]) ).
cnf(c_206,plain,
( n4
| n2
| n2 ),
inference(resolve,[status(thm)],[c_140,c_134]) ).
cnf(c_141,plain,
( n4
| n2 ),
inference(copy,[status(thm)],[c_206]) ).
cnf(c_142,plain,
( p(A)
| n2 ),
inference(resolve,[status(thm)],[c_141,c_34]) ).
cnf(c_207,plain,
( ~ p(A)
| n2
| n2 ),
inference(resolve,[status(thm)],[c_142,c_14]) ).
cnf(c_143,plain,
( ~ p(A)
| n2 ),
inference(copy,[status(thm)],[c_207]) ).
cnf(c_208,plain,
( n2
| n2 ),
inference(resolve,[status(thm)],[c_143,c_142]) ).
cnf(c_144,plain,
n2,
inference(copy,[status(thm)],[c_208]) ).
cnf(c_145,plain,
( ~ n6
| ~ n9 ),
inference(resolve,[status(thm)],[c_144,c_128]) ).
cnf(c_146,plain,
( n6
| n9 ),
inference(resolve,[status(thm)],[c_144,c_126]) ).
cnf(c_147,plain,
( p(A)
| ~ p(s2) ),
inference(resolve,[status(thm)],[c_144,c_16]) ).
cnf(c_148,plain,
( ~ p(A)
| p(s2) ),
inference(resolve,[status(thm)],[c_144,c_15]) ).
cnf(c_209,plain,
( n4
| n6
| n6 ),
inference(resolve,[status(thm)],[c_146,c_68]) ).
cnf(c_149,plain,
( n4
| n6 ),
inference(copy,[status(thm)],[c_209]) ).
cnf(c_150,plain,
( p(A)
| n6 ),
inference(resolve,[status(thm)],[c_149,c_34]) ).
cnf(c_151,plain,
( n7
| n6 ),
inference(resolve,[status(thm)],[c_150,c_31]) ).
cnf(c_152,plain,
( n8
| n6 ),
inference(resolve,[status(thm)],[c_151,c_124]) ).
cnf(c_153,plain,
( q(A)
| n6 ),
inference(resolve,[status(thm)],[c_152,c_30]) ).
cnf(c_210,plain,
( n6
| ~ q(A)
| n6 ),
inference(resolve,[status(thm)],[c_153,c_45]) ).
cnf(c_154,plain,
( ~ q(A)
| n6 ),
inference(copy,[status(thm)],[c_210]) ).
cnf(c_211,plain,
( n6
| n6 ),
inference(resolve,[status(thm)],[c_154,c_153]) ).
cnf(c_155,plain,
n6,
inference(copy,[status(thm)],[c_211]) ).
cnf(c_156,plain,
~ n9,
inference(resolve,[status(thm)],[c_155,c_145]) ).
cnf(c_212,plain,
( ~ n6
| q(s6) ),
inference(resolve,[status(thm)],[c_156,c_136]) ).
cnf(c_157,plain,
q(s6),
inference(resolve,[status(thm)],[c_155,c_212]) ).
cnf(c_213,plain,
( ~ n6
| q(A) ),
inference(resolve,[status(thm)],[c_157,c_52]) ).
cnf(c_158,plain,
q(A),
inference(resolve,[status(thm)],[c_155,c_213]) ).
cnf(c_159,plain,
n3,
inference(resolve,[status(thm)],[c_156,c_133]) ).
cnf(c_214,plain,
( n9
| ~ n4 ),
inference(resolve,[status(thm)],[c_159,c_37]) ).
cnf(c_160,plain,
~ n4,
inference(resolve,[status(thm)],[c_156,c_214]) ).
cnf(c_161,plain,
n8,
inference(resolve,[status(thm)],[c_158,c_29]) ).
cnf(c_162,plain,
~ p(s4),
inference(resolve,[status(thm)],[c_160,c_33]) ).
cnf(c_163,plain,
n7,
inference(resolve,[status(thm)],[c_161,c_123]) ).
cnf(c_164,plain,
p(s7),
inference(resolve,[status(thm)],[c_163,c_32]) ).
cnf(c_165,plain,
~ p(s2),
inference(resolve,[status(thm)],[c_147,c_162]) ).
cnf(c_166,plain,
~ p(A),
inference(resolve,[status(thm)],[c_165,c_148]) ).
cnf(c_167,plain,
$false,
inference(resolve,[status(thm)],[c_166,c_164]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN037-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n003.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sat Sep 26 17:07:24 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.38 % Process 3370603 was started by sandbox on n003,
% 0.12/0.38 % Sat Sep 26 17:07:24 2026
% 0.12/0.38 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.39
% 0.12/0.39 % From the command line: assign(max_seconds, 300).
% 0.12/0.41
% 0.12/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.41
% 0.12/0.41 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.12/0.41 % Length of proof is 150.
% 0.12/0.41 % Level of proof is 59.
% 0.12/0.41 % Maximum clause weight is 6.000.
% 0.12/0.41 % Given clauses 142.
% 0.12/0.41
% 0.12/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------