%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 : Thu Sep 24 03:21:43 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 32
% Syntax : Number of clauses : 126 ( 6 unt; 102 nHn; 126 RR)
% Number of literals : 551 ( 0 equ; 240 neg)
% Maximal clause size : 5 ( 4 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)
% Comments :
%------------------------------------------------------------------------------
cnf(ppppn,negated_conjecture,
( ~ p_5
| p_4
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppn) ).
cnf(pppnp,negated_conjecture,
( ~ p_4
| p_5
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnp) ).
cnf(ppppp,negated_conjecture,
( p_5
| p_4
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppp) ).
cnf(pppnn,negated_conjecture,
( ~ p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnn) ).
cnf(ppnpp,negated_conjecture,
( ~ p_3
| p_5
| p_4
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpp) ).
cnf(ppnpn,negated_conjecture,
( ~ p_5
| ~ p_3
| p_4
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpn) ).
cnf(pnppp,negated_conjecture,
( ~ p_2
| p_5
| p_4
| p_3
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppp) ).
cnf(ppnnp,negated_conjecture,
( ~ p_4
| ~ p_3
| p_5
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnp) ).
cnf(pnppn,negated_conjecture,
( ~ p_5
| ~ p_2
| p_4
| p_3
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppn) ).
cnf(npppp,negated_conjecture,
( ~ p_1
| p_5
| p_4
| p_3
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppp) ).
cnf(ppnnn,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnn) ).
cnf(pnpnp,negated_conjecture,
( ~ p_4
| ~ p_2
| p_5
| p_3
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnp) ).
cnf(npppn,negated_conjecture,
( ~ p_5
| ~ p_1
| p_4
| p_3
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppn) ).
cnf(pnpnn,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_2
| p_3
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnn) ).
cnf(pnnpp,negated_conjecture,
( ~ p_3
| ~ p_2
| p_5
| p_4
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpp) ).
cnf(nppnp,negated_conjecture,
( ~ p_4
| ~ p_1
| p_5
| p_3
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnp) ).
cnf(pnnpn,negated_conjecture,
( ~ p_5
| ~ p_3
| ~ p_2
| p_4
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpn) ).
cnf(nppnn,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_1
| p_3
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnn) ).
cnf(npnpp,negated_conjecture,
( ~ p_3
| ~ p_1
| p_5
| p_4
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpp) ).
cnf(pnnnp,negated_conjecture,
( ~ p_4
| ~ p_3
| ~ p_2
| p_5
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnp) ).
cnf(npnpn,negated_conjecture,
( ~ p_5
| ~ p_3
| ~ p_1
| p_4
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpn) ).
cnf(nnppp,negated_conjecture,
( ~ p_2
| ~ p_1
| p_5
| p_4
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppp) ).
cnf(pnnnn,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnn) ).
cnf(npnnp,negated_conjecture,
( ~ p_4
| ~ p_3
| ~ p_1
| p_5
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnp) ).
cnf(nnppn,negated_conjecture,
( ~ p_5
| ~ p_2
| ~ p_1
| p_4
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppn) ).
cnf(npnnn,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_1
| p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnn) ).
cnf(nnpnp,negated_conjecture,
( ~ p_4
| ~ p_2
| ~ p_1
| p_5
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnp) ).
cnf(nnpnn,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_2
| ~ p_1
| p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnn) ).
cnf(nnnpp,negated_conjecture,
( ~ p_3
| ~ p_2
| ~ p_1
| p_5
| p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpp) ).
cnf(nnnpn,negated_conjecture,
( ~ p_5
| ~ p_3
| ~ p_2
| ~ p_1
| p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpn) ).
cnf(nnnnp,negated_conjecture,
( ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnp) ).
cnf(nnnnn,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnn) ).
cnf(c_0_32,negated_conjecture,
( ~ p_5
| p_4
| p_3
| p_2
| p_1 ),
inference(fof_simplification,[status(thm)],[ppppn]) ).
cnf(c_0_33,negated_conjecture,
( ~ p_4
| p_5
| p_3
| p_2
| p_1 ),
inference(fof_simplification,[status(thm)],[pppnp]) ).
cnf(c_0_34,negated_conjecture,
( ~ p_5
| p_4
| p_3
| p_2
| p_1 ),
c_0_32 ).
cnf(c_0_35,negated_conjecture,
( p_5
| p_4
| p_3
| p_2
| p_1 ),
ppppp ).
cnf(c_0_36,negated_conjecture,
( ~ p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
inference(fof_simplification,[status(thm)],[pppnn]) ).
cnf(c_0_37,negated_conjecture,
( ~ p_4
| p_5
| p_3
| p_2
| p_1 ),
c_0_33 ).
cnf(c_0_38,negated_conjecture,
( p_1
| p_2
| p_3
| p_4 ),
inference(csr,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_39,negated_conjecture,
( ~ p_3
| p_5
| p_4
| p_2
| p_1 ),
inference(fof_simplification,[status(thm)],[ppnpp]) ).
cnf(c_0_40,negated_conjecture,
( ~ p_5
| ~ p_3
| p_4
| p_2
| p_1 ),
inference(fof_simplification,[status(thm)],[ppnpn]) ).
cnf(c_0_41,negated_conjecture,
( ~ p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
c_0_36 ).
cnf(c_0_42,negated_conjecture,
( p_1
| p_2
| p_3
| p_5 ),
inference(csr,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( ~ p_3
| p_5
| p_4
| p_2
| p_1 ),
c_0_39 ).
cnf(c_0_44,negated_conjecture,
( ~ p_2
| p_5
| p_4
| p_3
| p_1 ),
inference(fof_simplification,[status(thm)],[pnppp]) ).
cnf(c_0_45,negated_conjecture,
( ~ p_4
| ~ p_3
| p_5
| p_2
| p_1 ),
inference(fof_simplification,[status(thm)],[ppnnp]) ).
cnf(c_0_46,negated_conjecture,
( ~ p_5
| ~ p_3
| p_4
| p_2
| p_1 ),
c_0_40 ).
cnf(c_0_47,negated_conjecture,
( p_1
| p_2
| p_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_41,c_0_38]),c_0_42]) ).
cnf(c_0_48,negated_conjecture,
( p_1
| p_2
| p_4
| p_5 ),
inference(csr,[status(thm)],[c_0_43,c_0_38]) ).
cnf(c_0_49,negated_conjecture,
( ~ p_5
| ~ p_2
| p_4
| p_3
| p_1 ),
inference(fof_simplification,[status(thm)],[pnppn]) ).
cnf(c_0_50,negated_conjecture,
( ~ p_2
| p_5
| p_4
| p_3
| p_1 ),
c_0_44 ).
cnf(c_0_51,negated_conjecture,
( ~ p_1
| p_5
| p_4
| p_3
| p_2 ),
inference(fof_simplification,[status(thm)],[npppp]) ).
cnf(c_0_52,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
inference(fof_simplification,[status(thm)],[ppnnn]) ).
cnf(c_0_53,negated_conjecture,
( ~ p_4
| ~ p_3
| p_5
| p_2
| p_1 ),
c_0_45 ).
cnf(c_0_54,negated_conjecture,
( p_1
| p_2
| p_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_46,c_0_47]),c_0_48]) ).
cnf(c_0_55,negated_conjecture,
( ~ p_4
| ~ p_2
| p_5
| p_3
| p_1 ),
inference(fof_simplification,[status(thm)],[pnpnp]) ).
cnf(c_0_56,negated_conjecture,
( ~ p_5
| ~ p_2
| p_4
| p_3
| p_1 ),
c_0_49 ).
cnf(c_0_57,negated_conjecture,
( p_1
| p_3
| p_4
| p_5 ),
inference(csr,[status(thm)],[c_0_50,c_0_38]) ).
cnf(c_0_58,negated_conjecture,
( ~ p_5
| ~ p_1
| p_4
| p_3
| p_2 ),
inference(fof_simplification,[status(thm)],[npppn]) ).
cnf(c_0_59,negated_conjecture,
( ~ p_1
| p_5
| p_4
| p_3
| p_2 ),
c_0_51 ).
cnf(c_0_60,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_2
| p_3
| p_1 ),
inference(fof_simplification,[status(thm)],[pnpnn]) ).
cnf(c_0_61,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
c_0_52 ).
cnf(c_0_62,negated_conjecture,
( p_1
| p_2
| p_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_53,c_0_47]),c_0_54]) ).
cnf(c_0_63,negated_conjecture,
( ~ p_4
| ~ p_2
| p_5
| p_3
| p_1 ),
c_0_55 ).
cnf(c_0_64,negated_conjecture,
( p_1
| p_3
| p_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_56,c_0_47]),c_0_57]) ).
cnf(c_0_65,negated_conjecture,
( ~ p_3
| ~ p_2
| p_5
| p_4
| p_1 ),
inference(fof_simplification,[status(thm)],[pnnpp]) ).
cnf(c_0_66,negated_conjecture,
( ~ p_4
| ~ p_1
| p_5
| p_3
| p_2 ),
inference(fof_simplification,[status(thm)],[nppnp]) ).
cnf(c_0_67,negated_conjecture,
( ~ p_5
| ~ p_1
| p_4
| p_3
| p_2 ),
c_0_58 ).
cnf(c_0_68,negated_conjecture,
( p_2
| p_3
| p_4
| p_5 ),
inference(csr,[status(thm)],[c_0_59,c_0_38]) ).
cnf(c_0_69,negated_conjecture,
( ~ p_5
| ~ p_3
| ~ p_2
| p_4
| p_1 ),
inference(fof_simplification,[status(thm)],[pnnpn]) ).
cnf(c_0_70,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_2
| p_3
| p_1 ),
c_0_60 ).
cnf(c_0_71,negated_conjecture,
( p_1
| p_2 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_61,c_0_47]),c_0_54]),c_0_62]) ).
cnf(c_0_72,negated_conjecture,
( p_1
| p_3
| p_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_63,c_0_47]),c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( ~ p_3
| ~ p_2
| p_5
| p_4
| p_1 ),
c_0_65 ).
cnf(c_0_74,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_1
| p_3
| p_2 ),
inference(fof_simplification,[status(thm)],[nppnn]) ).
cnf(c_0_75,negated_conjecture,
( ~ p_4
| ~ p_1
| p_5
| p_3
| p_2 ),
c_0_66 ).
cnf(c_0_76,negated_conjecture,
( p_2
| p_3
| p_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_67,c_0_47]),c_0_68]) ).
cnf(c_0_77,negated_conjecture,
( ~ p_3
| ~ p_1
| p_5
| p_4
| p_2 ),
inference(fof_simplification,[status(thm)],[npnpp]) ).
cnf(c_0_78,negated_conjecture,
( ~ p_4
| ~ p_3
| ~ p_2
| p_5
| p_1 ),
inference(fof_simplification,[status(thm)],[pnnnp]) ).
cnf(c_0_79,negated_conjecture,
( ~ p_5
| ~ p_3
| ~ p_2
| p_4
| p_1 ),
c_0_69 ).
cnf(c_0_80,negated_conjecture,
( p_1
| p_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_70,c_0_71]),c_0_64]),c_0_72]) ).
cnf(c_0_81,negated_conjecture,
( p_1
| p_4
| p_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_73,c_0_54]),c_0_64]) ).
cnf(c_0_82,negated_conjecture,
( ~ p_5
| ~ p_3
| ~ p_1
| p_4
| p_2 ),
inference(fof_simplification,[status(thm)],[npnpn]) ).
cnf(c_0_83,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_1
| p_3
| p_2 ),
c_0_74 ).
cnf(c_0_84,negated_conjecture,
( p_2
| p_3
| p_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_75,c_0_47]),c_0_76]) ).
cnf(c_0_85,negated_conjecture,
( ~ p_3
| ~ p_1
| p_5
| p_4
| p_2 ),
c_0_77 ).
cnf(c_0_86,negated_conjecture,
( ~ p_2
| ~ p_1
| p_5
| p_4
| p_3 ),
inference(fof_simplification,[status(thm)],[nnppp]) ).
cnf(c_0_87,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
inference(fof_simplification,[status(thm)],[pnnnn]) ).
cnf(c_0_88,negated_conjecture,
( ~ p_4
| ~ p_3
| ~ p_2
| p_5
| p_1 ),
c_0_78 ).
cnf(c_0_89,negated_conjecture,
( p_1
| p_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_79,c_0_71]),c_0_80]),c_0_81]) ).
cnf(c_0_90,negated_conjecture,
( ~ p_4
| ~ p_3
| ~ p_1
| p_5
| p_2 ),
inference(fof_simplification,[status(thm)],[npnnp]) ).
cnf(c_0_91,negated_conjecture,
( ~ p_5
| ~ p_3
| ~ p_1
| p_4
| p_2 ),
c_0_82 ).
cnf(c_0_92,negated_conjecture,
( p_2
| p_3 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_83,c_0_71]),c_0_76]),c_0_84]) ).
cnf(c_0_93,negated_conjecture,
( p_2
| p_4
| p_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_85,c_0_54]),c_0_76]) ).
cnf(c_0_94,negated_conjecture,
( ~ p_5
| ~ p_2
| ~ p_1
| p_4
| p_3 ),
inference(fof_simplification,[status(thm)],[nnppn]) ).
cnf(c_0_95,negated_conjecture,
( ~ p_2
| ~ p_1
| p_5
| p_4
| p_3 ),
c_0_86 ).
cnf(c_0_96,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_1
| p_2 ),
inference(fof_simplification,[status(thm)],[npnnn]) ).
cnf(c_0_97,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
c_0_87 ).
cnf(c_0_98,negated_conjecture,
( p_1
| p_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_88,c_0_71]),c_0_80]),c_0_89]) ).
cnf(c_0_99,negated_conjecture,
( ~ p_4
| ~ p_3
| ~ p_1
| p_5
| p_2 ),
c_0_90 ).
cnf(c_0_100,negated_conjecture,
( p_2
| p_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_91,c_0_71]),c_0_92]),c_0_93]) ).
cnf(c_0_101,negated_conjecture,
( ~ p_4
| ~ p_2
| ~ p_1
| p_5
| p_3 ),
inference(fof_simplification,[status(thm)],[nnpnp]) ).
cnf(c_0_102,negated_conjecture,
( ~ p_5
| ~ p_2
| ~ p_1
| p_4
| p_3 ),
c_0_94 ).
cnf(c_0_103,negated_conjecture,
( p_3
| p_4
| p_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_95,c_0_64]),c_0_76]) ).
cnf(c_0_104,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_2
| ~ p_1
| p_3 ),
inference(fof_simplification,[status(thm)],[nnpnn]) ).
cnf(c_0_105,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_1
| p_2 ),
c_0_96 ).
cnf(c_0_106,negated_conjecture,
p_1,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_97,c_0_71]),c_0_80]),c_0_89]),c_0_98]) ).
cnf(c_0_107,negated_conjecture,
( p_2
| p_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_99,c_0_71]),c_0_92]),c_0_100]) ).
cnf(c_0_108,negated_conjecture,
( ~ p_4
| ~ p_2
| ~ p_1
| p_5
| p_3 ),
c_0_101 ).
cnf(c_0_109,negated_conjecture,
( p_3
| p_4 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_102,c_0_80]),c_0_92]),c_0_103]) ).
cnf(c_0_110,negated_conjecture,
( ~ p_3
| ~ p_2
| ~ p_1
| p_5
| p_4 ),
inference(fof_simplification,[status(thm)],[nnnpp]) ).
cnf(c_0_111,negated_conjecture,
( ~ p_5
| ~ p_3
| ~ p_2
| ~ p_1
| p_4 ),
inference(fof_simplification,[status(thm)],[nnnpn]) ).
cnf(c_0_112,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_2
| ~ p_1
| p_3 ),
c_0_104 ).
cnf(c_0_113,negated_conjecture,
p_2,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_106])]),c_0_92]),c_0_100]),c_0_107]) ).
cnf(c_0_114,negated_conjecture,
( p_3
| p_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_108,c_0_80]),c_0_92]),c_0_109]) ).
cnf(c_0_115,negated_conjecture,
( ~ p_3
| ~ p_2
| ~ p_1
| p_5
| p_4 ),
c_0_110 ).
cnf(c_0_116,negated_conjecture,
( ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1
| p_5 ),
inference(fof_simplification,[status(thm)],[nnnnp]) ).
cnf(c_0_117,negated_conjecture,
( ~ p_5
| ~ p_3
| ~ p_2
| ~ p_1
| p_4 ),
c_0_111 ).
cnf(c_0_118,negated_conjecture,
p_3,
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_106]),c_0_113])]),c_0_109]),c_0_114]) ).
cnf(c_0_119,negated_conjecture,
( p_4
| p_5 ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_115,c_0_89]),c_0_100]),c_0_109]) ).
cnf(c_0_120,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(fof_simplification,[status(thm)],[nnnnn]) ).
cnf(c_0_121,negated_conjecture,
( ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1
| p_5 ),
c_0_116 ).
cnf(c_0_122,negated_conjecture,
p_4,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_117,c_0_106]),c_0_113]),c_0_118])]),c_0_119]) ).
cnf(c_0_123,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
c_0_120 ).
cnf(c_0_124,negated_conjecture,
p_5,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_106]),c_0_113]),c_0_118]),c_0_122])]) ).
cnf(c_0_125,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_123,c_0_106]),c_0_113]),c_0_118]),c_0_122]),c_0_124])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:38:35 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.43 % Version: 3.5.1
% 0.13/0.43 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.13/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43 % Starting new_bool_1 with 300s (1) cores
% 0.13/0.43 % Starting sh5l with 300s (1) cores
% 0.13/0.43 % new_bool_3 with pid 2930221 completed with status 0
% 0.13/0.43 % Result found by new_bool_3
% 0.13/0.43 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.13/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.43 % Search class: FGHNF-FFSF00-SFFFFFNN
% 0.13/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.43 % SubtermCWHack with pid 2930228 completed with status 0
% 0.13/0.43 % Result found by SubtermCWHack
% 0.13/0.43 % Preprocessing class: FSMSSLSSSSSNFFN.
% 0.13/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.43 % Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 1500s (5) cores
% 0.13/0.43 % Starting new_bool_3 with 300s (1) cores
% 0.13/0.43 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.13/0.43 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.13/0.43 % Search class: FGHNF-FFSF00-SFFFFFNN
% 0.13/0.43 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.43 % Starting SubtermCWHack with 31s (1) cores
% 0.13/0.43 % Preprocessing time : 0.001 s
% 0.13/0.43
% 0.13/0.43 % Proof found!
% 0.13/0.43 % SZS status Unsatisfiable
% 0.13/0.43 % SZS output start CNFRefutation
% See solution above
% 0.13/0.43 % Parsed axioms : 32
% 0.13/0.43 % Removed by relevancy pruning/SinE : 0
% 0.13/0.43 % Initial clauses : 32
% 0.13/0.43 % Removed in clause preprocessing : 0
% 0.13/0.43 % Initial clauses in saturation : 32
% 0.13/0.43 % Processed clauses : 32
% 0.13/0.43 % ...of these trivial : 0
% 0.13/0.43 % ...subsumed : 0
% 0.13/0.43 % ...remaining for further processing : 31
% 0.13/0.43 % Other redundant clauses eliminated : 0
% 0.13/0.43 % Clauses deleted for lack of memory : 0
% 0.13/0.43 % Backward-subsumed : 20
% 0.13/0.43 % Backward-rewritten : 6
% 0.13/0.43 % Generated clauses : 0
% 0.13/0.43 % ...of the previous two non-redundant : 0
% 0.13/0.43 % ...aggressively subsumed : 0
% 0.13/0.43 % Contextual simplify-reflections : 65
% 0.13/0.43 % Paramodulations : 0
% 0.13/0.43 % Factorizations : 0
% 0.13/0.43 % NegExts : 0
% 0.13/0.43 % Equation resolutions : 0
% 0.13/0.43 % Disequality decompositions : 0
% 0.13/0.43 % Total rewrite steps : 21
% 0.13/0.43 % ...of those cached : 16
% 0.13/0.43 % Propositional unsat checks : 0
% 0.13/0.43 % Propositional check models : 0
% 0.13/0.43 % Propositional check unsatisfiable : 0
% 0.13/0.43 % Propositional clauses : 0
% 0.13/0.43 % Propositional clauses after purity: 0
% 0.13/0.43 % Propositional unsat core size : 0
% 0.13/0.43 % Propositional preprocessing time : 0.000
% 0.13/0.43 % Propositional encoding time : 0.000
% 0.13/0.43 % Propositional solver time : 0.000
% 0.13/0.43 % Success case prop preproc time : 0.000
% 0.13/0.43 % Success case prop encoding time : 0.000
% 0.13/0.43 % Success case prop solver time : 0.000
% 0.13/0.43 % Current number of processed clauses : 5
% 0.13/0.43 % Positive orientable unit clauses : 5
% 0.13/0.43 % Positive unorientable unit clauses: 0
% 0.13/0.43 % Negative unit clauses : 0
% 0.13/0.43 % Non-unit-clauses : 0
% 0.13/0.43 % Current number of unprocessed clauses: 0
% 0.13/0.43 % ...number of literals in the above : 0
% 0.13/0.43 % Current number of archived formulas : 0
% 0.13/0.43 % Current number of archived clauses : 26
% 0.13/0.43 % Clause-clause subsumption calls (NU) : 81
% 0.13/0.43 % Rec. Clause-clause subsumption calls : 81
% 0.13/0.43 % Non-unit clause-clause subsumptions : 81
% 0.13/0.43 % Unit Clause-clause subsumption calls : 4
% 0.13/0.43 % Rewrite failures with RHS unbound : 0
% 0.13/0.43 % BW rewrite match attempts : 4
% 0.13/0.43 % BW rewrite match successes : 4
% 0.13/0.43 % Condensation attempts : 0
% 0.13/0.43 % Condensation successes : 0
% 0.13/0.43 % Termbank termtop insertions : 1584
% 0.13/0.43 % Search garbage collected termcells : 84
% 0.13/0.43
% 0.13/0.43 % -------------------------------------------------
% 0.13/0.43 % User time : 0.003 s
% 0.13/0.43 % System time : 0.001 s
% 0.13/0.43 % Total time : 0.004 s
% 0.13/0.43 % Maximum resident set size: 3640 pages
% 0.13/0.43
% 0.13/0.43 % -------------------------------------------------
% 0.13/0.43 % User time : 0.005 s
% 0.13/0.43 % System time : 0.005 s
% 0.13/0.43 % Total time : 0.010 s
% 0.13/0.43 % Maximum resident set size: 4864 pages
% 0.13/0.43 % E exiting
%------------------------------------------------------------------------------