%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n014.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 03:38:50 PM UTC 2026
% Result : Unsatisfiable 1.15s 1.27s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 32
% Syntax : Number of formulae : 65 ( 1 unt; 0 def)
% Number of atoms : 321 ( 0 equ)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 416 ( 160 ~; 256 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
( p_5
| p_4
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppp) ).
fof(f2,negated_conjecture,
( ~ p_5
| p_4
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppppn) ).
fof(f3,negated_conjecture,
( p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnp) ).
fof(f4,negated_conjecture,
( ~ p_5
| ~ p_4
| p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pppnn) ).
fof(f5,negated_conjecture,
( p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpp) ).
fof(f6,negated_conjecture,
( ~ p_5
| p_4
| ~ p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnpn) ).
fof(f7,negated_conjecture,
( p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnp) ).
fof(f8,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ppnnn) ).
fof(f9,negated_conjecture,
( p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppp) ).
fof(f10,negated_conjecture,
( ~ p_5
| p_4
| p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnppn) ).
fof(f11,negated_conjecture,
( p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnp) ).
fof(f12,negated_conjecture,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnpnn) ).
fof(f13,negated_conjecture,
( p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpp) ).
fof(f14,negated_conjecture,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnpn) ).
fof(f15,negated_conjecture,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnp) ).
fof(f16,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pnnnn) ).
fof(f17,negated_conjecture,
( p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppp) ).
fof(f18,negated_conjecture,
( ~ p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npppn) ).
fof(f19,negated_conjecture,
( p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnp) ).
fof(f20,negated_conjecture,
( ~ p_5
| ~ p_4
| p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nppnn) ).
fof(f21,negated_conjecture,
( p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpp) ).
fof(f22,negated_conjecture,
( ~ p_5
| p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnpn) ).
fof(f23,negated_conjecture,
( p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnp) ).
fof(f24,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',npnnn) ).
fof(f25,negated_conjecture,
( p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppp) ).
fof(f26,negated_conjecture,
( ~ p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnppn) ).
fof(f27,negated_conjecture,
( p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnp) ).
fof(f28,negated_conjecture,
( ~ p_5
| ~ p_4
| p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnpnn) ).
fof(f29,negated_conjecture,
( p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpp) ).
fof(f30,negated_conjecture,
( ~ p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnpn) ).
fof(f31,negated_conjecture,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnp) ).
fof(f32,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nnnnn) ).
tcf(c_81,negated_conjecture,
( p_5
| p_4
| p_3
| p_2
| p_1 ),
inference(cnf_transformation,[],[f1]) ).
tcf(c_82,negated_conjecture,
( p_4
| p_3
| p_2
| p_1
| ~ p_5 ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_83,negated_conjecture,
( p_5
| p_3
| p_2
| p_1
| ~ p_4 ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_84,negated_conjecture,
( p_3
| p_2
| p_1
| ~ p_5
| ~ p_4 ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_85,negated_conjecture,
( p_5
| p_4
| p_2
| p_1
| ~ p_3 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_86,negated_conjecture,
( p_4
| p_2
| p_1
| ~ p_5
| ~ p_3 ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( p_5
| p_2
| p_1
| ~ p_4
| ~ p_3 ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_88,negated_conjecture,
( p_2
| p_1
| ~ p_5
| ~ p_4
| ~ p_3 ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_89,negated_conjecture,
( p_5
| p_4
| p_3
| p_1
| ~ p_2 ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_90,negated_conjecture,
( p_4
| p_3
| p_1
| ~ p_5
| ~ p_2 ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_91,negated_conjecture,
( p_5
| p_3
| p_1
| ~ p_4
| ~ p_2 ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_92,negated_conjecture,
( p_3
| p_1
| ~ p_5
| ~ p_4
| ~ p_2 ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_93,negated_conjecture,
( p_5
| p_4
| p_1
| ~ p_3
| ~ p_2 ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_94,negated_conjecture,
( p_4
| p_1
| ~ p_5
| ~ p_3
| ~ p_2 ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_95,negated_conjecture,
( p_5
| p_1
| ~ p_4
| ~ p_3
| ~ p_2 ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_96,negated_conjecture,
( p_1
| ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2 ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_97,negated_conjecture,
( p_5
| p_4
| p_3
| p_2
| ~ p_1 ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_98,negated_conjecture,
( p_4
| p_3
| p_2
| ~ p_5
| ~ p_1 ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_99,negated_conjecture,
( p_5
| p_3
| p_2
| ~ p_4
| ~ p_1 ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_100,negated_conjecture,
( p_3
| p_2
| ~ p_5
| ~ p_4
| ~ p_1 ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_101,negated_conjecture,
( p_5
| p_4
| p_2
| ~ p_3
| ~ p_1 ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_102,negated_conjecture,
( p_4
| p_2
| ~ p_5
| ~ p_3
| ~ p_1 ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_103,negated_conjecture,
( p_5
| p_2
| ~ p_4
| ~ p_3
| ~ p_1 ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_104,negated_conjecture,
( p_2
| ~ p_5
| ~ p_4
| ~ p_3
| ~ p_1 ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_105,negated_conjecture,
( p_5
| p_4
| p_3
| ~ p_2
| ~ p_1 ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_106,negated_conjecture,
( p_4
| p_3
| ~ p_5
| ~ p_2
| ~ p_1 ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_107,negated_conjecture,
( p_5
| p_3
| ~ p_4
| ~ p_2
| ~ p_1 ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_108,negated_conjecture,
( p_3
| ~ p_5
| ~ p_4
| ~ p_2
| ~ p_1 ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_109,negated_conjecture,
( p_5
| p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_110,negated_conjecture,
( p_4
| ~ p_5
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_111,negated_conjecture,
( p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_112,negated_conjecture,
( ~ p_5
| ~ p_4
| ~ p_3
| ~ p_2
| ~ p_1 ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_113,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_112,c_96,c_104,c_108,c_110,c_111,c_88,c_92,c_94,c_95,c_100,c_102,c_103,c_106,c_107,c_109,c_84,c_86,c_87,c_90,c_91,c_93,c_98,c_99,c_101,c_105,c_82,c_83,c_85,c_89,c_97,c_81]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN001-1.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n014.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 23:49:17 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.13/0.39 Running first-order theorem proving
% 0.13/0.39 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40
% 0.13/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.40
% 0.13/0.40 % Detected problem language: tptp
% 0.13/0.41 % Proving...
% 1.15/1.27 % SZS status Started for theBenchmark.p
% 1.15/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/1.27
% 1.15/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.15/1.27
% 1.15/1.27 % ------ iProver source info
% 1.15/1.27
% 1.15/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 1.15/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.15/1.27 % git: non_committed_changes: false
% 1.15/1.27
% 1.15/1.27 % ------ Parsing...% successful
% 1.15/1.27
% 1.15/1.27
% 1.15/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_non_horn_non_eq
% 1.15/1.27 %
% 1.15/1.27
% 1.15/1.27 % ------ Preprocessing...%
% 1.15/1.27
% 1.15/1.27 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/1.27
% 1.15/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.15/1.27
% 1.15/1.27
%------------------------------------------------------------------------------