%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN037-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n012.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 : Fri Sep 25 03:38:56 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.96s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 35
% Syntax : Number of formulae : 156 ( 1 unt; 0 def)
% Number of atoms : 457 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 548 ( 247 ~; 301 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 18 usr; 15 prp; 0-1 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-1 aty)
% Number of variables : 81 ( 0 sgn 81 !; 0 ?; 63 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
( n10
| n6
| ~ n9
| ~ n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
( ~ n10
| ~ n6
| n9
| n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
( n10
| n6
| n9
| n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
( n10
| ~ n6
| n9
| ~ n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
( ~ n10
| n6
| n9
| ~ n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
( n10
| ~ n6
| ~ n9
| n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f9,negated_conjecture,
( n8
| ~ q(s8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
! [X0] :
( q(X0)
| ~ n8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f11,negated_conjecture,
! [X0] :
( n7
| ~ p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f12,negated_conjecture,
( p(s7)
| ~ n7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f13,negated_conjecture,
! [X0] :
( n6
| ~ n5(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
fof(f14,negated_conjecture,
( n5(s6)
| ~ n6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f15,negated_conjecture,
! [X0] :
( n5(X0)
| ~ q(X0)
| ~ q(s5(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f16,negated_conjecture,
! [X0] :
( n5(X0)
| q(X0)
| q(s5(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
fof(f17,negated_conjecture,
! [X0,X1] :
( q(X0)
| ~ q(X1)
| ~ n5(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
fof(f18,negated_conjecture,
! [X0,X1] :
( ~ q(X0)
| q(X1)
| ~ n5(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
fof(f19,negated_conjecture,
( n4
| ~ p(s4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
fof(f20,negated_conjecture,
! [X0] :
( p(X0)
| ~ n4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f21,negated_conjecture,
! [X0] :
( n3
| ~ q(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
fof(f22,negated_conjecture,
( q(s3)
| ~ n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
fof(f23,negated_conjecture,
! [X0] :
( n2
| ~ n1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
fof(f24,negated_conjecture,
( n1(s2)
| ~ n2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
fof(f25,negated_conjecture,
! [X0] :
( n1(X0)
| ~ p(s1(X0))
| ~ p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
fof(f26,negated_conjecture,
! [X0] :
( n1(X0)
| p(s1(X0))
| p(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
fof(f27,negated_conjecture,
! [X0,X1] :
( p(X1)
| ~ p(X0)
| ~ n1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27) ).
fof(f28,negated_conjecture,
! [X0,X1] :
( ~ p(X1)
| p(X0)
| ~ n1(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_28) ).
fof(f29,negated_conjecture,
( n9
| ~ n4
| ~ n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_29) ).
fof(f30,negated_conjecture,
( n9
| n4
| n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_30) ).
fof(f31,negated_conjecture,
( ~ n9
| n4
| ~ n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_31) ).
fof(f32,negated_conjecture,
( ~ n9
| ~ n4
| n3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_32) ).
fof(f33,negated_conjecture,
( n10
| ~ n8
| ~ n7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_33) ).
fof(f34,negated_conjecture,
( n10
| n8
| n7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_34) ).
fof(f35,negated_conjecture,
( ~ n10
| n8
| ~ n7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_35) ).
fof(f36,negated_conjecture,
( ~ n10
| ~ n8
| n7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_36) ).
tcf(c_85,negated_conjecture,
( ~ n10
| ~ n6
| ~ n9
| ~ n2 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_86,negated_conjecture,
( n10
| n6
| ~ n9
| ~ n2 ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_87,negated_conjecture,
( n9
| n2
| ~ n10
| ~ n6 ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_88,negated_conjecture,
( n10
| n6
| n9
| n2 ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_89,negated_conjecture,
( n10
| n9
| ~ n6
| ~ n2 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_90,negated_conjecture,
( n6
| n9
| ~ n10
| ~ n2 ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_91,negated_conjecture,
( n10
| n2
| ~ n6
| ~ n9 ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_93,negated_conjecture,
( n8
| ~ q(s8) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_94,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ n8 ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_95,negated_conjecture,
! [X0: $i] :
( n7
| ~ p(X0) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_96,negated_conjecture,
( p(s7)
| ~ n7 ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_97,negated_conjecture,
! [X0: $i] :
( n6
| ~ n5(X0) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_98,negated_conjecture,
( n5(s6)
| ~ n6 ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_99,negated_conjecture,
! [X0: $i] :
( n5(X0)
| ~ q(X0)
| ~ q(s5(X0)) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_100,negated_conjecture,
! [X0: $i] :
( n5(X0)
| q(X0)
| q(s5(X0)) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_101,negated_conjecture,
! [X0: $i,X1: $i] :
( q(X1)
| ~ n5(X1)
| ~ q(X0) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_102,negated_conjecture,
! [X0: $i,X1: $i] :
( q(X1)
| ~ n5(X0)
| ~ q(X0) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_103,negated_conjecture,
( n4
| ~ p(s4) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_104,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ n4 ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_105,negated_conjecture,
! [X0: $i] :
( n3
| ~ q(X0) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_106,negated_conjecture,
( q(s3)
| ~ n3 ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_107,negated_conjecture,
! [X0: $i] :
( n2
| ~ n1(X0) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_108,negated_conjecture,
( n1(s2)
| ~ n2 ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_109,negated_conjecture,
! [X0: $i] :
( n1(X0)
| ~ p(X0)
| ~ p(s1(X0)) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_110,negated_conjecture,
! [X0: $i] :
( n1(X0)
| p(X0)
| p(s1(X0)) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_111,negated_conjecture,
! [X0: $i,X1: $i] :
( p(X1)
| ~ n1(X0)
| ~ p(X0) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_112,negated_conjecture,
! [X0: $i,X1: $i] :
( p(X1)
| ~ n1(X1)
| ~ p(X0) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_113,negated_conjecture,
( n9
| ~ n3
| ~ n4 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_114,negated_conjecture,
( n3
| n4
| n9 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_115,negated_conjecture,
( n4
| ~ n3
| ~ n9 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_116,negated_conjecture,
( n3
| ~ n4
| ~ n9 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_117,negated_conjecture,
( n10
| ~ n7
| ~ n8 ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_118,negated_conjecture,
( n7
| n8
| n10 ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_119,negated_conjecture,
( n8
| ~ n7
| ~ n10 ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_120,negated_conjecture,
( n7
| ~ n8
| ~ n10 ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_125,plain,
( n7
| ~ p(s2) ),
inference(instantiation,[status(thm)],[c_95]) ).
tcf(c_341,plain,
! [X0: $i] :
( q(X0)
| ~ n7
| ~ n10 ),
inference(resolution,[status(thm)],[c_119,c_94]) ).
tcf(c_354,plain,
! [X0: $i] :
( n7
| n10
| q(X0) ),
inference(resolution,[status(thm)],[c_118,c_94]) ).
tcf(c_375,plain,
( n10
| ~ n7
| ~ q(s8) ),
inference(resolution,[status(thm)],[c_93,c_117]) ).
tcf(c_476,plain,
! [X0: $i] :
( n6
| q(X0)
| q(s5(X0)) ),
inference(resolution,[status(thm)],[c_100,c_97]) ).
tcf(c_487,plain,
! [X0: $i,X1: $i] :
( q(X1)
| ~ q(X0)
| ~ q(s5(X0)) ),
inference(resolution,[status(thm)],[c_99,c_102]) ).
tcf(c_497,plain,
! [X0: $i] :
( n6
| ~ q(X0)
| ~ q(s5(X0)) ),
inference(resolution,[status(thm)],[c_99,c_97]) ).
tcf(c_508,plain,
! [X0: $i] :
( q(X0)
| ~ n6
| ~ q(s6) ),
inference(resolution,[status(thm)],[c_102,c_98]) ).
tcf(c_531,plain,
! [X0: $i] :
( q(s6)
| ~ n6
| ~ q(X0) ),
inference(resolution,[status(thm)],[c_98,c_101]) ).
tcf(c_562,plain,
! [X0: $i] :
( p(X0)
| ~ n3
| ~ n9 ),
inference(resolution,[status(thm)],[c_115,c_104]) ).
tcf(c_596,plain,
( n9
| ~ n3
| ~ p(s4) ),
inference(resolution,[status(thm)],[c_103,c_113]) ).
tcf(c_642,plain,
( n4
| n9
| q(s3) ),
inference(resolution,[status(thm)],[c_114,c_106]) ).
tcf(c_674,plain,
! [X0: $i] :
( q(s3)
| ~ q(X0) ),
inference(resolution,[status(thm)],[c_105,c_106]) ).
tcf(c_697,plain,
! [X0: $i] :
( n2
| p(X0)
| p(s1(X0)) ),
inference(resolution,[status(thm)],[c_110,c_107]) ).
tcf(c_708,plain,
! [X0: $i,X1: $i] :
( p(X1)
| ~ p(X0)
| ~ p(s1(X0)) ),
inference(resolution,[status(thm)],[c_109,c_111]) ).
tcf(c_718,plain,
! [X0: $i] :
( n2
| ~ p(X0)
| ~ p(s1(X0)) ),
inference(resolution,[status(thm)],[c_109,c_107]) ).
tcf(c_729,plain,
! [X0: $i] :
( p(X0)
| ~ n2
| ~ p(s2) ),
inference(resolution,[status(thm)],[c_111,c_108]) ).
tcf(c_751,plain,
! [X0: $i] :
( p(s2)
| ~ n2
| ~ p(X0) ),
inference(resolution,[status(thm)],[c_108,c_112]) ).
tcf(c_857,plain,
! [X0: $i] :
( n6
| n9
| p(X0)
| p(s1(X0))
| ~ n10 ),
inference(resolution,[status(thm)],[c_697,c_90]) ).
tcf(c_858,plain,
( n6
| n9
| p(s2)
| p(s1(s2))
| ~ n10 ),
inference(instantiation,[status(thm)],[c_857]) ).
tcf(c_1154,plain,
( n3
| n4
| n10
| n2
| ~ n6 ),
inference(resolution,[status(thm)],[c_114,c_91]) ).
tcf(c_1234,plain,
( n10
| n6
| ~ n3
| ~ n4
| ~ n2 ),
inference(resolution,[status(thm)],[c_113,c_86]) ).
tcf(c_1250,plain,
( ~ n3
| ~ n4
| ~ n10
| ~ n6
| ~ n2 ),
inference(resolution,[status(thm)],[c_113,c_85]) ).
tcf(c_1251,plain,
( ~ n2
| ~ n6
| ~ n10
| ~ n4 ),
inference(global_subsumption_just,[status(thm)],[c_1250,c_105,c_104,c_95,c_341,c_1250]) ).
tcf(c_1252,plain,
( ~ n4
| ~ n10
| ~ n6
| ~ n2 ),
inference(renaming,[status(thm)],[c_1251]) ).
tcf(c_1297,plain,
( n3
| n10
| ~ n4
| ~ n6
| ~ n2 ),
inference(resolution,[status(thm)],[c_89,c_116]) ).
tcf(c_1298,plain,
( n3
| ~ n2
| ~ n6
| ~ n4 ),
inference(global_subsumption_just,[status(thm)],[c_1297,c_1252,c_1297]) ).
tcf(c_1299,plain,
( n3
| ~ n4
| ~ n6
| ~ n2 ),
inference(renaming,[status(thm)],[c_1298]) ).
tcf(c_1347,plain,
( n4
| n10
| n6
| n2
| ~ n3 ),
inference(resolution,[status(thm)],[c_88,c_115]) ).
tcf(c_1370,plain,
( n4
| n2
| ~ n3
| ~ n10
| ~ n6 ),
inference(resolution,[status(thm)],[c_87,c_115]) ).
tcf(c_1950,plain,
( ~ n7
| ~ n8
| ~ n6
| ~ n9
| ~ n2 ),
inference(resolution,[status(thm)],[c_117,c_85]) ).
tcf(c_1951,plain,
( ~ n2
| ~ n9
| ~ n6
| ~ n8 ),
inference(global_subsumption_just,[status(thm)],[c_1950,c_105,c_95,c_94,c_562,c_1950]) ).
tcf(c_1952,plain,
( ~ n8
| ~ n6
| ~ n9
| ~ n2 ),
inference(renaming,[status(thm)],[c_1951]) ).
tcf(c_1997,plain,
( n7
| n9
| ~ n8
| ~ n6
| ~ n2 ),
inference(resolution,[status(thm)],[c_89,c_120]) ).
tcf(c_1998,plain,
( n7
| ~ n2
| ~ n6
| ~ n8 ),
inference(global_subsumption_just,[status(thm)],[c_1997,c_1952,c_1997]) ).
tcf(c_1999,plain,
( n7
| ~ n8
| ~ n6
| ~ n2 ),
inference(renaming,[status(thm)],[c_1998]) ).
tcf(c_2047,plain,
( n8
| n6
| n9
| n2
| ~ n7 ),
inference(resolution,[status(thm)],[c_88,c_119]) ).
tcf(c_2157,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_751]) ).
tcf(c_2158,plain,
( iPr_def_10
| p(s2)
| ~ n2 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_751]) ).
tcf(c_2161,plain,
! [X0: $i] :
( ~ iPr_def_12
| p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_729]) ).
tcf(c_2162,plain,
( iPr_def_12
| ~ n2
| ~ p(s2) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_729]) ).
tcf(c_2163,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ p(s1(X0))
| ~ p(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_708]) ).
tcf(c_2164,plain,
( iPr_def_13
| iPr_def_12 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_708]) ).
tcf(c_2165,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_531]) ).
tcf(c_2166,plain,
( iPr_def_14
| q(s6)
| ~ n6 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_531]) ).
tcf(c_2169,plain,
! [X0: $i] :
( ~ iPr_def_16
| q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_508]) ).
tcf(c_2170,plain,
( iPr_def_16
| ~ n6
| ~ q(s6) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_508]) ).
tcf(c_2171,plain,
! [X0: $i] :
( ~ iPr_def_17
| ~ q(s5(X0))
| ~ q(X0) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_487]) ).
tcf(c_2172,plain,
( iPr_def_17
| iPr_def_16 ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_487]) ).
tcf(c_2173,plain,
( iPr_def_10
| p(s2)
| ~ n2 ),
inference(demodulation,[status(thm)],[c_2158]) ).
tcf(c_2176,plain,
! [X0: $i] :
( ~ iPr_def_10
| ~ p(X0) ),
inference(demodulation,[status(thm)],[c_2157]) ).
tcf(c_2178,plain,
( iPr_def_12
| ~ n2
| ~ p(s2) ),
inference(demodulation,[status(thm)],[c_2162]) ).
tcf(c_2180,plain,
! [X0: $i] :
( n2
| ~ p(X0)
| ~ p(s1(X0)) ),
inference(demodulation,[status(thm)],[c_718]) ).
tcf(c_2181,plain,
( iPr_def_13
| iPr_def_12 ),
inference(demodulation,[status(thm)],[c_2164]) ).
tcf(c_2182,plain,
! [X0: $i] :
( ~ iPr_def_13
| ~ p(X0)
| ~ p(s1(X0)) ),
inference(demodulation,[status(thm)],[c_2163]) ).
tcf(c_2183,plain,
! [X0: $i] :
( p(X0)
| ~ iPr_def_12 ),
inference(demodulation,[status(thm)],[c_2161]) ).
tcf(c_2185,plain,
( iPr_def_14
| q(s6)
| ~ n6 ),
inference(demodulation,[status(thm)],[c_2166]) ).
tcf(c_2188,plain,
! [X0: $i] :
( ~ iPr_def_14
| ~ q(X0) ),
inference(demodulation,[status(thm)],[c_2165]) ).
tcf(c_2190,plain,
( iPr_def_16
| ~ n6
| ~ q(s6) ),
inference(demodulation,[status(thm)],[c_2170]) ).
tcf(c_2192,plain,
! [X0: $i] :
( n6
| ~ q(X0)
| ~ q(s5(X0)) ),
inference(demodulation,[status(thm)],[c_497]) ).
tcf(c_2193,plain,
( iPr_def_17
| iPr_def_16 ),
inference(demodulation,[status(thm)],[c_2172]) ).
tcf(c_2194,plain,
! [X0: $i] :
( ~ iPr_def_17
| ~ q(X0)
| ~ q(s5(X0)) ),
inference(demodulation,[status(thm)],[c_2171]) ).
tcf(c_2195,plain,
! [X0: $i] :
( q(X0)
| ~ iPr_def_16 ),
inference(demodulation,[status(thm)],[c_2169]) ).
tcf(c_2196,plain,
! [X0: $i] :
( n6
| q(X0)
| q(s5(X0)) ),
inference(demodulation,[status(thm)],[c_476]) ).
tcf(c_2206,negated_conjecture,
! [X0: $i] :
( n3
| ~ q(X0) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_2207,negated_conjecture,
! [X0: $i] :
( p(X0)
| ~ n4 ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_2210,negated_conjecture,
! [X0: $i] :
( n7
| ~ p(X0) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_2211,negated_conjecture,
! [X0: $i] :
( q(X0)
| ~ n8 ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_2230,plain,
( p(s4)
| ~ iPr_def_12 ),
inference(instantiation,[status(thm)],[c_2183]) ).
tcf(c_2239,plain,
! [X0: $i] :
( q(s5(X0))
| ~ iPr_def_16 ),
inference(instantiation,[status(thm)],[c_2195]) ).
tcf(c_2240,plain,
! [X0: $i] :
( n6
| q(s5(X0))
| q(s5(s5(X0))) ),
inference(instantiation,[status(thm)],[c_2196]) ).
tcf(c_2241,plain,
! [X0: $i] :
( q(s5(X0))
| ~ n8 ),
inference(instantiation,[status(thm)],[c_2211]) ).
tcf(c_2248,plain,
! [X0: $i] :
( n3
| ~ q(s5(X0)) ),
inference(instantiation,[status(thm)],[c_2206]) ).
tcf(c_2250,plain,
! [X0: $i] :
( n6
| ~ q(s5(X0))
| ~ q(s5(s5(X0))) ),
inference(instantiation,[status(thm)],[c_2192]) ).
tcf(c_2272,plain,
( ~ iPr_def_10
| ~ p(s7) ),
inference(instantiation,[status(thm)],[c_2176]) ).
tcf(c_2275,plain,
( ~ iPr_def_13
| ~ p(s7)
| ~ p(s1(s7)) ),
inference(instantiation,[status(thm)],[c_2182]) ).
tcf(c_2278,plain,
! [X0: $i] :
( n6
| q(s5(s5(X0)))
| q(s5(s5(s5(X0)))) ),
inference(instantiation,[status(thm)],[c_2240]) ).
tcf(c_2288,plain,
! [X0: $i] :
( n7
| ~ p(s1(X0)) ),
inference(instantiation,[status(thm)],[c_2210]) ).
tcf(c_2289,plain,
( n7
| ~ p(s1(s2)) ),
inference(instantiation,[status(thm)],[c_2288]) ).
tcf(c_2340,plain,
! [X0: $i] :
( n6
| ~ q(s5(s5(X0)))
| ~ q(s5(s5(s5(X0)))) ),
inference(instantiation,[status(thm)],[c_2250]) ).
tcf(c_2349,plain,
( p(s1(s7))
| ~ n4 ),
inference(instantiation,[status(thm)],[c_2207]) ).
tcf(c_2401,plain,
( q(s8)
| ~ iPr_def_16 ),
inference(instantiation,[status(thm)],[c_2195]) ).
tcf(c_2404,plain,
! [X0: $i] :
( q(s5(s5(X0)))
| ~ iPr_def_16 ),
inference(instantiation,[status(thm)],[c_2239]) ).
tcf(c_2409,plain,
( n2
| ~ p(s7)
| ~ p(s1(s7)) ),
inference(instantiation,[status(thm)],[c_2180]) ).
tcf(c_2414,plain,
( ~ iPr_def_14
| ~ q(s3) ),
inference(instantiation,[status(thm)],[c_2188]) ).
tcf(c_2475,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2414,c_2409,c_2404,c_2401,c_2349,c_2340,c_2289,c_2288,c_2278,c_2275,c_2272,c_2250,c_2248,c_2240,c_2241,c_2230,c_2194,c_2190,c_2178,c_2185,c_2173,c_2193,c_2181,c_2047,c_1999,c_1370,c_1347,c_1299,c_1252,c_1234,c_1154,c_858,c_697,c_674,c_642,c_596,c_562,c_476,c_375,c_354,c_341,c_99,c_85,c_100,c_86,c_115,c_119,c_93,c_94,c_125,c_95,c_96,c_97,c_103,c_104,c_105,c_106,c_118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN037-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Thu Sep 24 23:52:50 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.03/0.32 Running first-order theorem proving
% 0.03/0.32 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.33
% 0.03/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.33 % Proving...
% 0.17/0.96 % SZS status Started for theBenchmark.p
% 0.17/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 0.17/0.96
% 0.17/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 0.17/0.96
% 0.17/0.96 % ------ iProver source info
% 0.17/0.96
% 0.17/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 0.17/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 0.17/0.96 % git: non_committed_changes: false
% 0.17/0.96
% 0.17/0.96 % ------ Parsing...% successful
% 0.17/0.96
% 0.17/0.96
% 0.17/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 0.17/0.96
% 0.17/0.96 % ------ Preprocessing... sf_s rm: 0 0s sf_e pe_s pe:1:0s pe:2:0s pe_e %
% 0.17/0.96
% 0.17/0.96 % ------ Preprocessing... gs_s sp: 12 0s gs_e snvd_s sp: 0 0s snvd_e
% 0.17/0.96 % ------ Proving...
% 0.17/0.96 % ------ Problem Properties
% 0.17/0.96
% 0.17/0.96 %
% 0.17/0.96 % clauses 44
% 0.17/0.96 % conjectures 24
% 0.17/0.96 % EPR 36
% 0.17/0.96 % Horn 25
% 0.17/0.96 % unary 0
% 0.17/0.96 % binary 16
% 0.17/0.96 % lits 124
% 0.17/0.96 % lits eq 0
% 0.17/0.96 % fd_pure 0
% 0.17/0.96 % fd_pseudo 0
% 0.17/0.96 % fd_cond 0
% 0.17/0.96 % fd_pseudo_cond 0
% 0.17/0.96 % AC symbols 0
% 0.17/0.96
% 0.17/0.96 % ------ Schedule dynamic 5 is on
% 0.17/0.96
% 0.17/0.96 % ------ no equalities: superposition off
% 0.17/0.96
% 0.17/0.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.17/0.96
% 0.17/0.96
% 0.17/0.96 % ------
% 0.17/0.96 % Current options:
% 0.17/0.96 % ------
% 0.17/0.96
% 0.17/0.96
% 0.17/0.96 %
% 0.17/0.96
% 0.17/0.96 % ------ Proving...
% 0.17/0.96 %
% 0.17/0.96
% 0.17/0.96 % SZS status Unsatisfiable for theBenchmark.p
% 0.17/0.96
% 0.17/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.17/0.96
%------------------------------------------------------------------------------