%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SYN010-1.005.005 : 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 : n026.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 03:38:52 PM UTC 2026
% Result : Unsatisfiable 1.15s 1.28s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 27
% Syntax : Number of formulae : 55 ( 13 unt; 0 def)
% Number of atoms : 265 ( 0 equ)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 422 ( 212 ~; 210 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 6 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 : 27 ( 26 usr; 27 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_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
( ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1
| p_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f4,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
fof(f5,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
fof(f6,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
fof(f7,negated_conjecture,
( ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1
| p_1_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
fof(f8,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
fof(f9,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9) ).
fof(f10,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10) ).
fof(f11,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11) ).
fof(f12,negated_conjecture,
( ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1
| p_2_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
fof(f13,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
fof(f14,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14) ).
fof(f15,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15) ).
fof(f16,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16) ).
fof(f17,negated_conjecture,
( ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1
| p_3_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17) ).
fof(f18,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18) ).
fof(f19,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19) ).
fof(f20,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20) ).
fof(f21,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21) ).
fof(f22,negated_conjecture,
( ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1
| p_4_5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22) ).
fof(f23,negated_conjecture,
p_5_1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_23) ).
fof(f24,negated_conjecture,
p_5_2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_24) ).
fof(f25,negated_conjecture,
p_5_3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_25) ).
fof(f26,negated_conjecture,
p_5_4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_26) ).
fof(f27,negated_conjecture,
p_5_5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_27) ).
tcf(c_76,negated_conjecture,
~ p_0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_77,negated_conjecture,
( p_0
| ~ p_1_5
| ~ p_1_4
| ~ p_1_3
| ~ p_1_2
| ~ p_1_1 ),
inference(cnf_transformation,[],[f2]) ).
tcf(c_78,negated_conjecture,
( p_1_1
| ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1 ),
inference(cnf_transformation,[],[f3]) ).
tcf(c_79,negated_conjecture,
( p_1_2
| ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1 ),
inference(cnf_transformation,[],[f4]) ).
tcf(c_80,negated_conjecture,
( p_1_3
| ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1 ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_81,negated_conjecture,
( p_1_4
| ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1 ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_82,negated_conjecture,
( p_1_5
| ~ p_2_5
| ~ p_2_4
| ~ p_2_3
| ~ p_2_2
| ~ p_2_1 ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_83,negated_conjecture,
( p_2_1
| ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1 ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_84,negated_conjecture,
( p_2_2
| ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1 ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_85,negated_conjecture,
( p_2_3
| ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1 ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_86,negated_conjecture,
( p_2_4
| ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1 ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_87,negated_conjecture,
( p_2_5
| ~ p_3_5
| ~ p_3_4
| ~ p_3_3
| ~ p_3_2
| ~ p_3_1 ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_88,negated_conjecture,
( p_3_1
| ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1 ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_89,negated_conjecture,
( p_3_2
| ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1 ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_90,negated_conjecture,
( p_3_3
| ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1 ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_91,negated_conjecture,
( p_3_4
| ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1 ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( p_3_5
| ~ p_4_5
| ~ p_4_4
| ~ p_4_3
| ~ p_4_2
| ~ p_4_1 ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_93,negated_conjecture,
( p_4_1
| ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1 ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_94,negated_conjecture,
( p_4_2
| ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1 ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_95,negated_conjecture,
( p_4_3
| ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1 ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_96,negated_conjecture,
( p_4_4
| ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1 ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_97,negated_conjecture,
( p_4_5
| ~ p_5_5
| ~ p_5_4
| ~ p_5_3
| ~ p_5_2
| ~ p_5_1 ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_98,negated_conjecture,
p_5_1,
inference(cnf_transformation,[],[f23]) ).
tcf(c_99,negated_conjecture,
p_5_2,
inference(cnf_transformation,[],[f24]) ).
tcf(c_100,negated_conjecture,
p_5_3,
inference(cnf_transformation,[],[f25]) ).
tcf(c_101,negated_conjecture,
p_5_4,
inference(cnf_transformation,[],[f26]) ).
tcf(c_102,negated_conjecture,
p_5_5,
inference(cnf_transformation,[],[f27]) ).
tcf(c_103,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_77,c_78,c_79,c_80,c_81,c_82,c_83,c_84,c_85,c_86,c_87,c_88,c_89,c_90,c_91,c_92,c_93,c_94,c_95,c_96,c_97,c_76,c_98,c_99,c_100,c_101,c_102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN010-1.005.005 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.36 % Computer : n026.cluster.edu
% 0.07/0.36 % Model : x86_64 x86_64
% 0.07/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.36 % Memory : 8046.5625MB
% 0.07/0.36 % OS : Linux 6.8.0-71-generic
% 0.07/0.36 % CPULimit : 300
% 0.07/0.36 % WCLimit : 300
% 0.07/0.36 % DateTime : Thu Sep 24 23:53:24 UTC 2026
% 0.07/0.37 % CPUTime :
% 0.07/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.07/0.40 Running first-order theorem proving
% 0.07/0.40 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
% 0.07/0.42
% 0.07/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.42
% 0.07/0.42 % Detected problem language: tptp
% 0.07/0.43 % Proving...
% 1.15/1.28 % SZS status Started for theBenchmark.p
% 1.15/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/1.28
% 1.15/1.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.15/1.28
% 1.15/1.28 % ------ iProver source info
% 1.15/1.28
% 1.15/1.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.15/1.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.15/1.28 % git: non_committed_changes: false
% 1.15/1.28
% 1.15/1.28 % ------ Parsing...% successful
% 1.15/1.28
% 1.15/1.28
% 1.15/1.28 % ------ Clausification by vclausify_rel & Parsing by iProver...% ------ preprocesses with Option_epr_horn
% 1.15/1.28 %
% 1.15/1.28
% 1.15/1.28 % ------ Preprocessing...%
% 1.15/1.28
% 1.15/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.15/1.28
% 1.15/1.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.15/1.28
% 1.15/1.28
%------------------------------------------------------------------------------