%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN001-1.005 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n013.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 : Tue May 5 05:35:07 PM UTC 2026
% Result : Unsatisfiable 1.26s 1.72s
% Output : CNFRefutation 1.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 32
% Syntax : Number of clauses : 111 ( 6 unt; 72 nHn; 111 RR)
% Number of literals : 448 ( 0 equ; 225 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(npnnn,negated_conjecture,
( p_2
| ~ p_1
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnn) ).
cnf(nnnnn,negated_conjecture,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnn) ).
cnf(nnpnn,negated_conjecture,
( p_3
| ~ p_1
| ~ p_2
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnn) ).
cnf(nnnpn,negated_conjecture,
( p_4
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpn) ).
cnf(nppnn,negated_conjecture,
( p_2
| p_3
| ~ p_1
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnn) ).
cnf(ppppn,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppn) ).
cnf(ppppp,negated_conjecture,
( p_1
| p_2
| p_3
| p_4
| p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppp) ).
cnf(nnnnp,negated_conjecture,
( p_5
| ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnp) ).
cnf(npnpn,negated_conjecture,
( p_2
| p_4
| ~ p_1
| ~ p_3
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpn) ).
cnf(pppnp,negated_conjecture,
( p_1
| p_2
| p_3
| p_5
| ~ p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnp) ).
cnf(npnnp,negated_conjecture,
( p_2
| p_5
| ~ p_1
| ~ p_3
| ~ p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnp) ).
cnf(nnppn,negated_conjecture,
( p_3
| p_4
| ~ p_1
| ~ p_2
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppn) ).
cnf(pnnnn,negated_conjecture,
( p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnn) ).
cnf(pppnn,negated_conjecture,
( p_1
| p_2
| p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnn) ).
cnf(npppp,negated_conjecture,
( p_2
| p_3
| p_4
| p_5
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppp) ).
cnf(nnpnp,negated_conjecture,
( p_3
| p_5
| ~ p_1
| ~ p_2
| ~ p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnp) ).
cnf(ppnnn,negated_conjecture,
( p_1
| p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnn) ).
cnf(ppnpp,negated_conjecture,
( p_1
| p_2
| p_4
| p_5
| ~ p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpp) ).
cnf(npppn,negated_conjecture,
( p_2
| p_3
| p_4
| ~ p_1
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppn) ).
cnf(pnpnn,negated_conjecture,
( p_1
| p_3
| ~ p_2
| ~ p_4
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnn) ).
cnf(npnpp,negated_conjecture,
( p_2
| p_4
| p_5
| ~ p_1
| ~ p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpp) ).
cnf(nppnp,negated_conjecture,
( p_2
| p_3
| p_5
| ~ p_1
| ~ p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnp) ).
cnf(ppnpn,negated_conjecture,
( p_1
| p_2
| p_4
| ~ p_3
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpn) ).
cnf(ppnnp,negated_conjecture,
( p_1
| p_2
| p_5
| ~ p_3
| ~ p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnp) ).
cnf(pnppp,negated_conjecture,
( p_1
| p_3
| p_4
| p_5
| ~ p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppp) ).
cnf(nnppp,negated_conjecture,
( p_3
| p_4
| p_5
| ~ p_1
| ~ p_2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppp) ).
cnf(pnppn,negated_conjecture,
( p_1
| p_3
| p_4
| ~ p_2
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppn) ).
cnf(nnnpp,negated_conjecture,
( p_4
| p_5
| ~ p_1
| ~ p_2
| ~ p_3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpp) ).
cnf(pnpnp,negated_conjecture,
( p_1
| p_3
| p_5
| ~ p_2
| ~ p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnp) ).
cnf(pnnpn,negated_conjecture,
( p_1
| p_4
| ~ p_2
| ~ p_3
| ~ p_5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpn) ).
cnf(pnnnp,negated_conjecture,
( p_1
| p_5
| ~ p_2
| ~ p_3
| ~ p_4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnp) ).
cnf(pnnpp,negated_conjecture,
( p_1
| p_4
| p_5
| ~ p_2
| ~ p_3 ),
file('/export/starexec/sandbox/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 v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.33 % Computer : n013.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:03:26 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.26/1.72 % Version : CSE_E---1.7
% 1.26/1.72 % Problem : theBenchmark.p
% 1.26/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.26/1.72 % SZS output start CNFRefutation
% See solution above
% 1.26/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------