%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG138+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n009.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 12:53:34 PM UTC 2026
% Result : Unsatisfiable 1.72s 6.28s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 101 ( 52 unt; 0 def)
% Number of atoms : 444 ( 443 equ)
% Maximal formula atoms : 128 ( 4 avg)
% Number of connectives : 448 ( 105 ~; 240 |; 103 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 )
& ( op(e3,e2) = e3
| op(e3,e2) = e2
| op(e3,e2) = e1
| op(e3,e2) = e0 )
& ( op(e3,e1) = e3
| op(e3,e1) = e2
| op(e3,e1) = e1
| op(e3,e1) = e0 )
& ( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 )
& ( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 )
& ( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 )
& ( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 )
& ( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 )
& ( op(e1,e3) = e3
| op(e1,e3) = e2
| op(e1,e3) = e1
| op(e1,e3) = e0 )
& ( op(e1,e2) = e3
| op(e1,e2) = e2
| op(e1,e2) = e1
| op(e1,e2) = e0 )
& ( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 )
& ( op(e1,e0) = e3
| op(e1,e0) = e2
| op(e1,e0) = e1
| op(e1,e0) = e0 )
& ( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 )
& ( op(e0,e2) = e3
| op(e0,e2) = e2
| op(e0,e2) = e1
| op(e0,e2) = e0 )
& ( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op(e3,e3) = e3
| op(e2,e3) = e3
| op(e1,e3) = e3
| op(e0,e3) = e3 )
& ( op(e3,e3) = e3
| op(e3,e2) = e3
| op(e3,e1) = e3
| op(e3,e0) = e3 )
& ( op(e3,e3) = e2
| op(e2,e3) = e2
| op(e1,e3) = e2
| op(e0,e3) = e2 )
& ( op(e3,e3) = e2
| op(e3,e2) = e2
| op(e3,e1) = e2
| op(e3,e0) = e2 )
& ( op(e3,e3) = e1
| op(e2,e3) = e1
| op(e1,e3) = e1
| op(e0,e3) = e1 )
& ( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 )
& ( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 )
& ( op(e3,e3) = e0
| op(e3,e2) = e0
| op(e3,e1) = e0
| op(e3,e0) = e0 )
& ( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 )
& ( op(e2,e3) = e3
| op(e2,e2) = e3
| op(e2,e1) = e3
| op(e2,e0) = e3 )
& ( op(e3,e2) = e2
| op(e2,e2) = e2
| op(e1,e2) = e2
| op(e0,e2) = e2 )
& ( op(e2,e3) = e2
| op(e2,e2) = e2
| op(e2,e1) = e2
| op(e2,e0) = e2 )
& ( op(e3,e2) = e1
| op(e2,e2) = e1
| op(e1,e2) = e1
| op(e0,e2) = e1 )
& ( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 )
& ( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 )
& ( op(e2,e3) = e0
| op(e2,e2) = e0
| op(e2,e1) = e0
| op(e2,e0) = e0 )
& ( op(e3,e1) = e3
| op(e2,e1) = e3
| op(e1,e1) = e3
| op(e0,e1) = e3 )
& ( op(e1,e3) = e3
| op(e1,e2) = e3
| op(e1,e1) = e3
| op(e1,e0) = e3 )
& ( op(e3,e1) = e2
| op(e2,e1) = e2
| op(e1,e1) = e2
| op(e0,e1) = e2 )
& ( op(e1,e3) = e2
| op(e1,e2) = e2
| op(e1,e1) = e2
| op(e1,e0) = e2 )
& ( op(e3,e1) = e1
| op(e2,e1) = e1
| op(e1,e1) = e1
| op(e0,e1) = e1 )
& ( op(e1,e3) = e1
| op(e1,e2) = e1
| op(e1,e1) = e1
| op(e1,e0) = e1 )
& ( op(e3,e1) = e0
| op(e2,e1) = e0
| op(e1,e1) = e0
| op(e0,e1) = e0 )
& ( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 )
& ( op(e3,e0) = e3
| op(e2,e0) = e3
| op(e1,e0) = e3
| op(e0,e0) = e3 )
& ( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 )
& ( op(e3,e0) = e2
| op(e2,e0) = e2
| op(e1,e0) = e2
| op(e0,e0) = e2 )
& ( op(e0,e3) = e2
| op(e0,e2) = e2
| op(e0,e1) = e2
| op(e0,e0) = e2 )
& ( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 )
& ( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 )
& ( op(e3,e0) = e0
| op(e2,e0) = e0
| op(e1,e0) = e0
| op(e0,e0) = e0 )
& ( op(e0,e3) = e0
| op(e0,e2) = e0
| op(e0,e1) = e0
| op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op(e3,e3) = e3
& op(e2,e2) = e2
& op(e1,e1) = e1
& op(e0,e0) = e0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
~ ( e1 = op(op(e2,e3),e3)
& e0 = op(e2,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
~ ( e1 = op(op(e3,e2),e2)
& e0 = op(e3,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f30,plain,
( e1 != op(op(e2,e3),e3)
| e0 != op(e2,e3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f31,plain,
( e1 != op(op(e3,e2),e2)
| e0 != op(e3,e2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f54,plain,
( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f59,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f74,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f76,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f92,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f109,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f114,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f115,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f123,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f124,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f148,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f151,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
e3 = op(e3,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f157,plain,
e2 = op(e2,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
e1 = op(e1,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
( e1 != op(op(e2,e3),e3)
| e0 != op(e2,e3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f161,plain,
( e1 != op(op(e3,e2),e2)
| e0 != op(e3,e2) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_49,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f69]) ).
tcf(c_54,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_59,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_64,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_74,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_81,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_82,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_84,plain,
( ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_90,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_92,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_98,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f148]) ).
tcf(c_121,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f125]) ).
tcf(c_122,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f124]) ).
tcf(c_123,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f123]) ).
tcf(c_130,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f116]) ).
tcf(c_131,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f115]) ).
tcf(c_132,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f114]) ).
tcf(c_137,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f109]) ).
tcf(c_145,plain,
e0 != e1,
inference(cnf_transformation,[],[f155]) ).
tcf(c_146,plain,
e0 != e2,
inference(cnf_transformation,[],[f154]) ).
tcf(c_147,plain,
e0 != e3,
inference(cnf_transformation,[],[f153]) ).
tcf(c_148,plain,
e1 != e2,
inference(cnf_transformation,[],[f152]) ).
tcf(c_149,plain,
e1 != e3,
inference(cnf_transformation,[],[f151]) ).
tcf(c_151,plain,
op(e0,e0) = e0,
inference(cnf_transformation,[],[f159]) ).
tcf(c_152,plain,
op(e1,e1) = e1,
inference(cnf_transformation,[],[f158]) ).
tcf(c_153,plain,
op(e2,e2) = e2,
inference(cnf_transformation,[],[f157]) ).
tcf(c_154,plain,
op(e3,e3) = e3,
inference(cnf_transformation,[],[f156]) ).
tcf(c_155,plain,
( ( op(e2,e3) != e0 )
| ( op(op(e2,e3),e3) != e1 ) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_156,plain,
( ( op(e3,e2) != e0 )
| ( op(op(e3,e2),e2) != e1 ) ),
inference(cnf_transformation,[],[f161]) ).
tcf(c_195,plain,
op(e3,e3) = e3,
inference(global_subsumption_just,[status(thm)],[c_64,c_154]) ).
tcf(c_197,plain,
op(e2,e2) = e2,
inference(global_subsumption_just,[status(thm)],[c_59,c_153]) ).
tcf(c_199,plain,
op(e1,e1) = e1,
inference(global_subsumption_just,[status(thm)],[c_54,c_152]) ).
tcf(c_201,plain,
op(e0,e0) = e0,
inference(global_subsumption_just,[status(thm)],[c_49,c_151]) ).
tcf(c_709,plain,
op(e1,e3) != e1,
inference(light_normalisation,[status(thm)],[c_131,c_199]) ).
tcf(c_710,plain,
op(e1,e2) != e1,
inference(light_normalisation,[status(thm)],[c_130,c_199]) ).
tcf(c_712,plain,
op(e0,e3) != e0,
inference(light_normalisation,[status(thm)],[c_123,c_201]) ).
tcf(c_713,plain,
op(e0,e2) != e0,
inference(light_normalisation,[status(thm)],[c_122,c_201]) ).
tcf(c_714,plain,
op(e0,e1) != e0,
inference(light_normalisation,[status(thm)],[c_121,c_201]) ).
tcf(c_725,plain,
op(e2,e0) != e0,
inference(light_normalisation,[status(thm)],[c_98,c_201]) ).
tcf(c_837,plain,
( ( e1 = e3 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(light_normalisation,[status(thm)],[c_92,c_195]) ).
tcf(c_838,plain,
( ( op(e2,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_837,c_149,c_709]) ).
tcf(c_853,plain,
( ( e0 = e3 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_90,c_195]) ).
tcf(c_854,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_853,c_147,c_712]) ).
tcf(c_885,plain,
( ( e1 = e2 )
| ( op(e3,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(light_normalisation,[status(thm)],[c_84,c_197]) ).
tcf(c_886,plain,
( ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_885,c_148,c_710]) ).
tcf(c_901,plain,
( ( e0 = e2 )
| ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_82,c_197]) ).
tcf(c_902,plain,
( ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_901,c_146,c_713]) ).
tcf(c_909,plain,
( ( e0 = e2 )
| ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_81,c_197]) ).
tcf(c_910,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_909,c_146,c_725]) ).
tcf(c_949,plain,
( ( e0 = e1 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(light_normalisation,[status(thm)],[c_74,c_199]) ).
tcf(c_950,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_949,c_145,c_714]) ).
tcf(c_2243,plain,
( ( e0 = e1 )
| ( op(e2,e1) = e0 )
| ( op(e0,e3) = e1 ) ),
inference(superposition,[status(thm)],[c_910,c_838]) ).
tcf(c_2244,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e3) != e0 )
| ( op(e0,e3) != e1 ) ),
inference(superposition,[status(thm)],[c_910,c_155]) ).
tcf(c_2253,plain,
( ( op(e2,e1) = e0 )
| ( op(e0,e3) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2243,c_145]) ).
tcf(c_2304,plain,
op(e2,e1) = e0,
inference(global_subsumption_just,[status(thm)],[c_950,c_910,c_2253,c_2244]) ).
tcf(c_2308,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm)],[c_137,c_2304]) ).
tcf(c_2316,plain,
op(e1,e3) = e0,
inference(backward_subsumption_resolution,[status(thm)],[c_854,c_2308]) ).
tcf(c_2319,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm)],[c_132,c_2316]) ).
tcf(c_2325,plain,
op(e3,e2) = e0,
inference(backward_subsumption_resolution,[status(thm)],[c_902,c_2319]) ).
tcf(c_2326,plain,
( ( e0 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm)],[c_886,c_2325]) ).
tcf(c_2350,plain,
op(e0,e2) = e1,
inference(forward_subsumption_resolution,[status(thm)],[c_2326,c_145]) ).
tcf(c_2373,plain,
op(op(e3,e2),e2) != e1,
inference(global_subsumption_just,[status(thm)],[c_156,c_156,c_2325]) ).
tcf(c_2375,plain,
$false,
inference(ground_joinability,[status(thm)],[c_2373,c_2325,c_2350]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG138+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/5.37 % Computer : n009.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Fri Sep 25 04:52:49 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.15/5.41 Running first-order theorem proving
% 0.15/5.41 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
% 0.15/5.42
% 0.15/5.42 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.42
% 0.15/5.42 % Detected problem language: tptp
% 0.15/5.43 % Proving...
% 1.72/6.28 % SZS status Started for theBenchmark.p
% 1.72/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.72/6.28
% 1.72/6.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.72/6.28
% 1.72/6.28 % ------ iProver source info
% 1.72/6.28
% 1.72/6.28 % git: date: 2026-07-19 20:42:38 +0200
% 1.72/6.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.72/6.28 % git: non_committed_changes: false
% 1.72/6.28
% 1.72/6.28 % ------ Parsing...
% 1.72/6.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 1.72/6.28
% 1.72/6.28 % ------ Preprocessing... sup_sim: 60 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 1.72/6.28
% 1.72/6.28 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 1.72/6.28
% 1.72/6.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.72/6.28 % ------ Proving...
% 1.72/6.28 % ------ Problem Properties
% 1.72/6.28
% 1.72/6.28 %
% 1.72/6.28 % clauses 118
% 1.72/6.28 % conjectures 0
% 1.72/6.28 % EPR 6
% 1.72/6.28 % Horn 82
% 1.72/6.28 % unary 58
% 1.72/6.28 % binary 60
% 1.72/6.28 % lits 178
% 1.72/6.28 % lits eq 178
% 1.72/6.28 % fd_pure 0
% 1.72/6.28 % fd_pseudo 0
% 1.72/6.28 % fd_cond 0
% 1.72/6.28 % fd_pseudo_cond 0
% 1.72/6.28 % AC symbols 0
% 1.72/6.28
% 1.72/6.28 % ------ Schedule dynamic 5 is on
% 1.72/6.28
% 1.72/6.28 % ------ no conjectures: strip conj schedule
% 1.72/6.28
% 1.72/6.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.72/6.28
% 1.72/6.28
% 1.72/6.28 % ------
% 1.72/6.28 % Current options:
% 1.72/6.28 % ------
% 1.72/6.28
% 1.72/6.28
% 1.72/6.28 %
% 1.72/6.28
% 1.72/6.28 % ------ Proving...
% 1.72/6.28 %
% 1.72/6.28
% 1.72/6.28 % SZS status Unsatisfiable for theBenchmark.p
% 1.72/6.28
% 1.72/6.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.72/6.28
% 1.72/6.28
%------------------------------------------------------------------------------