%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG046+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/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 12:53:16 PM UTC 2026
% Result : Unsatisfiable 2.33s 1.29s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 19
% Syntax : Number of formulae : 291 ( 103 unt; 0 def)
% Number of atoms : 1123 (1122 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 1188 ( 356 ~; 687 |; 145 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 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 : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?; 6 :)
% 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/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( unit = e3
| unit = e2
| unit = e1
| unit = e0 )
& op(e3,unit) = e3
& op(unit,e3) = e3
& op(e2,unit) = e2
& op(unit,e2) = e2
& op(e1,unit) = e1
& op(unit,e1) = e1
& op(e0,unit) = e0
& op(unit,e0) = e0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,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/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,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/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
~ ( ( op(e3,e3) = e3
& op(e2,e2) = e3
& op(e1,e1) = e3
& op(e0,e0) = e3 )
| ( op(e3,e3) = e2
& op(e2,e2) = e2
& op(e1,e1) = e2
& op(e0,e0) = e2 )
| ( op(e3,e3) = e1
& op(e2,e2) = e1
& op(e1,e1) = e1
& op(e0,e0) = e1 )
| ( op(e3,e3) = e0
& op(e2,e2) = e0
& op(e1,e1) = e0
& op(e0,e0) = e0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f9,axiom,
~ ( e3 = op(e2,e2)
& e1 = op(e2,op(e2,e2))
& e0 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f11,axiom,
~ ( e2 = op(e3,e3)
& e1 = op(e3,op(e3,e3))
& e0 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
~ ( e1 = op(e3,e3)
& e2 = op(e3,op(e3,e3))
& e0 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f15,axiom,
~ ( e3 = op(e2,e2)
& e0 = op(e2,op(e2,e2))
& e1 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
~ ( e0 = op(e2,e2)
& e3 = op(e2,op(e2,e2))
& e1 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
~ ( e2 = op(e3,e3)
& e0 = op(e3,op(e3,e3))
& e1 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f21,axiom,
~ ( e3 = op(e1,e1)
& e0 = op(e1,op(e1,e1))
& e2 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f23,axiom,
~ ( e1 = op(e3,e3)
& e0 = op(e3,op(e3,e3))
& e2 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f24,axiom,
~ ( e0 = op(e3,e3)
& e1 = op(e3,op(e3,e3))
& e2 = op(e3,op(e3,op(e3,e3))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f27,axiom,
~ ( e2 = op(e1,e1)
& e0 = op(e1,op(e1,e1))
& e3 = op(e1,op(e1,op(e1,e1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f29,axiom,
~ ( e1 = op(e2,e2)
& e0 = op(e2,op(e2,e2))
& e3 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f30,axiom,
~ ( e0 = op(e2,e2)
& e1 = op(e2,op(e2,e2))
& e3 = op(e2,op(e2,op(e2,e2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f31,plain,
( ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f34,plain,
( e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f9]) ).
fof(f36,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f11]) ).
fof(f37,plain,
( e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f12]) ).
fof(f40,plain,
( e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f15]) ).
fof(f41,plain,
( e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f16]) ).
fof(f42,plain,
( e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f17]) ).
fof(f46,plain,
( e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(ennf_transformation,[],[f21]) ).
fof(f48,plain,
( e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f23]) ).
fof(f49,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(ennf_transformation,[],[f24]) ).
fof(f52,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(ennf_transformation,[],[f27]) ).
fof(f54,plain,
( e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f29]) ).
fof(f55,plain,
( e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(ennf_transformation,[],[f30]) ).
fof(f56,plain,
( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f57,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f58,plain,
( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f59,plain,
( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f60,plain,
( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f61,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f62,plain,
( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f63,plain,
( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
( e3 = unit
| e2 = unit
| e1 = unit
| e0 = unit ),
inference(cnf_transformation,[],[f2]) ).
fof(f73,plain,
e3 = op(e3,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f74,plain,
e3 = op(unit,e3),
inference(cnf_transformation,[],[f2]) ).
fof(f75,plain,
e2 = op(e2,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f76,plain,
e2 = op(unit,e2),
inference(cnf_transformation,[],[f2]) ).
fof(f77,plain,
e1 = op(e1,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f78,plain,
e1 = op(unit,e1),
inference(cnf_transformation,[],[f2]) ).
fof(f79,plain,
e0 = op(e0,unit),
inference(cnf_transformation,[],[f2]) ).
fof(f80,plain,
e0 = op(unit,e0),
inference(cnf_transformation,[],[f2]) ).
fof(f84,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f85,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f86,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f3]) ).
fof(f88,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f89,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f90,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f93,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f94,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f95,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f3]) ).
fof(f96,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f97,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f98,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f100,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f102,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f105,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f113,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f114,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f115,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f116,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f117,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f118,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f119,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f120,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f121,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f122,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f123,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f124,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f125,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f126,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f127,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f128,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f130,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f131,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f132,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f133,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f137,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f138,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f139,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f140,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f4]) ).
fof(f143,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f144,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f145,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f146,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f147,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f4]) ).
fof(f149,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f150,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f157,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f158,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f4]) ).
fof(f161,plain,
e2 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f162,plain,
e1 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
e1 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
e0 != e3,
inference(cnf_transformation,[],[f5]) ).
fof(f165,plain,
e0 != e2,
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
e0 != e1,
inference(cnf_transformation,[],[f5]) ).
fof(f167,plain,
( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f31]) ).
fof(f168,plain,
( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f31]) ).
fof(f169,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f170,plain,
( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f173,plain,
( e3 != op(e2,e2)
| e1 != op(e2,op(e2,e2))
| e0 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f34]) ).
fof(f175,plain,
( e2 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f36]) ).
fof(f176,plain,
( e1 != op(e3,e3)
| e2 != op(e3,op(e3,e3))
| e0 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f37]) ).
fof(f179,plain,
( e3 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f40]) ).
fof(f180,plain,
( e0 != op(e2,e2)
| e3 != op(e2,op(e2,e2))
| e1 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f41]) ).
fof(f181,plain,
( e2 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e1 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f42]) ).
fof(f185,plain,
( e3 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e2 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[],[f46]) ).
fof(f187,plain,
( e1 != op(e3,e3)
| e0 != op(e3,op(e3,e3))
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f48]) ).
fof(f188,plain,
( e0 != op(e3,e3)
| e1 != op(e3,op(e3,e3))
| e2 != op(e3,op(e3,op(e3,e3))) ),
inference(cnf_transformation,[],[f49]) ).
fof(f191,plain,
( e2 != op(e1,e1)
| e0 != op(e1,op(e1,e1))
| e3 != op(e1,op(e1,op(e1,e1))) ),
inference(cnf_transformation,[],[f52]) ).
fof(f193,plain,
( e1 != op(e2,e2)
| e0 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f54]) ).
fof(f194,plain,
( e0 != op(e2,e2)
| e1 != op(e2,op(e2,e2))
| e3 != op(e2,op(e2,op(e2,e2))) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_54,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_56,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_57,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_58,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_59,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_60,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_61,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_62,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_63,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_64,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_65,plain,
op(unit,e0) = e0,
inference(cnf_transformation,[],[f80]) ).
tcf(c_66,plain,
op(e0,unit) = e0,
inference(cnf_transformation,[],[f79]) ).
tcf(c_67,plain,
op(unit,e1) = e1,
inference(cnf_transformation,[],[f78]) ).
tcf(c_68,plain,
op(e1,unit) = e1,
inference(cnf_transformation,[],[f77]) ).
tcf(c_69,plain,
op(unit,e2) = e2,
inference(cnf_transformation,[],[f76]) ).
tcf(c_70,plain,
op(e2,unit) = e2,
inference(cnf_transformation,[],[f75]) ).
tcf(c_71,plain,
op(unit,e3) = e3,
inference(cnf_transformation,[],[f74]) ).
tcf(c_72,plain,
op(e3,unit) = e3,
inference(cnf_transformation,[],[f73]) ).
tcf(c_73,plain,
( ( e3 = unit )
| ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_75,plain,
( ( op(e3,e0) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(cnf_transformation,[],[f111]) ).
tcf(c_77,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_78,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_80,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_81,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_82,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_83,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_84,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_86,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_88,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_89,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_90,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_91,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_92,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_93,plain,
( ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_96,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_97,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_98,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_99,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_100,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_101,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_102,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_108,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f158]) ).
tcf(c_109,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f157]) ).
tcf(c_110,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f156]) ).
tcf(c_111,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f155]) ).
tcf(c_112,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f154]) ).
tcf(c_114,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f152]) ).
tcf(c_116,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f150]) ).
tcf(c_117,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f149]) ).
tcf(c_119,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f147]) ).
tcf(c_120,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f146]) ).
tcf(c_121,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f145]) ).
tcf(c_122,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f144]) ).
tcf(c_123,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f143]) ).
tcf(c_126,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f140]) ).
tcf(c_127,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f139]) ).
tcf(c_128,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f138]) ).
tcf(c_129,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f137]) ).
tcf(c_133,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f133]) ).
tcf(c_134,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f132]) ).
tcf(c_135,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f131]) ).
tcf(c_136,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f130]) ).
tcf(c_138,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f128]) ).
tcf(c_139,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f127]) ).
tcf(c_140,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f126]) ).
tcf(c_141,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f125]) ).
tcf(c_142,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f124]) ).
tcf(c_143,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f123]) ).
tcf(c_144,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f122]) ).
tcf(c_145,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f121]) ).
tcf(c_146,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f120]) ).
tcf(c_147,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f119]) ).
tcf(c_148,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f118]) ).
tcf(c_149,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f117]) ).
tcf(c_150,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f116]) ).
tcf(c_151,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f115]) ).
tcf(c_152,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f114]) ).
tcf(c_153,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f113]) ).
tcf(c_154,plain,
e0 != e1,
inference(cnf_transformation,[],[f166]) ).
tcf(c_155,plain,
e0 != e2,
inference(cnf_transformation,[],[f165]) ).
tcf(c_156,plain,
e0 != e3,
inference(cnf_transformation,[],[f164]) ).
tcf(c_157,plain,
e1 != e2,
inference(cnf_transformation,[],[f163]) ).
tcf(c_158,plain,
e1 != e3,
inference(cnf_transformation,[],[f162]) ).
tcf(c_159,plain,
e2 != e3,
inference(cnf_transformation,[],[f161]) ).
tcf(c_160,plain,
( ( op(e3,e3) != e0 )
| ( op(e2,e2) != e0 )
| ( op(e1,e1) != e0 )
| ( op(e0,e0) != e0 ) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_161,plain,
( ( op(e3,e3) != e1 )
| ( op(e2,e2) != e1 )
| ( op(e1,e1) != e1 )
| ( op(e0,e0) != e1 ) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_162,plain,
( ( op(e3,e3) != e2 )
| ( op(e2,e2) != e2 )
| ( op(e1,e1) != e2 )
| ( op(e0,e0) != e2 ) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_163,plain,
( ( op(e3,e3) != e3 )
| ( op(e2,e2) != e3 )
| ( op(e1,e1) != e3 )
| ( op(e0,e0) != e3 ) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_166,plain,
( ( op(e2,e2) != e3 )
| ( op(e2,op(e2,e2)) != e1 )
| ( op(e2,op(e2,op(e2,e2))) != e0 ) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_168,plain,
( ( op(e3,e3) != e2 )
| ( op(e3,op(e3,e3)) != e1 )
| ( op(e3,op(e3,op(e3,e3))) != e0 ) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_169,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,op(e3,e3)) != e2 )
| ( op(e3,op(e3,op(e3,e3))) != e0 ) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_172,plain,
( ( op(e2,e2) != e3 )
| ( op(e2,op(e2,e2)) != e0 )
| ( op(e2,op(e2,op(e2,e2))) != e1 ) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_173,plain,
( ( op(e2,e2) != e0 )
| ( op(e2,op(e2,e2)) != e3 )
| ( op(e2,op(e2,op(e2,e2))) != e1 ) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_174,plain,
( ( op(e3,e3) != e2 )
| ( op(e3,op(e3,e3)) != e0 )
| ( op(e3,op(e3,op(e3,e3))) != e1 ) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_178,plain,
( ( op(e1,e1) != e3 )
| ( op(e1,op(e1,e1)) != e0 )
| ( op(e1,op(e1,op(e1,e1))) != e2 ) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_180,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,op(e3,e3)) != e0 )
| ( op(e3,op(e3,op(e3,e3))) != e2 ) ),
inference(cnf_transformation,[],[f187]) ).
tcf(c_181,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,op(e3,e3)) != e1 )
| ( op(e3,op(e3,op(e3,e3))) != e2 ) ),
inference(cnf_transformation,[],[f188]) ).
tcf(c_184,plain,
( ( op(e1,e1) != e2 )
| ( op(e1,op(e1,e1)) != e0 )
| ( op(e1,op(e1,op(e1,e1))) != e3 ) ),
inference(cnf_transformation,[],[f191]) ).
tcf(c_186,plain,
( ( op(e2,e2) != e1 )
| ( op(e2,op(e2,e2)) != e0 )
| ( op(e2,op(e2,op(e2,e2))) != e3 ) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_187,plain,
( ( op(e2,e2) != e0 )
| ( op(e2,op(e2,e2)) != e1 )
| ( op(e2,op(e2,op(e2,e2))) != e3 ) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_1448,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_2224,plain,
( ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit )
| ( op(e3,e3) = e3 ) ),
inference(superposition,[status(thm)],[c_73,c_72]) ).
tcf(c_2226,plain,
( ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit )
| ( op(e2,e3) = e2 ) ),
inference(superposition,[status(thm)],[c_73,c_70]) ).
tcf(c_2227,plain,
( ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit )
| ( op(e3,e2) = e2 ) ),
inference(superposition,[status(thm)],[c_73,c_69]) ).
tcf(c_2268,plain,
( ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit )
| ( op(e3,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_2224,c_153]) ).
tcf(c_2734,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_59,c_143]) ).
tcf(c_2736,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e0,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_59,c_119]) ).
tcf(c_2767,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) != e3 ) ),
inference(superposition,[status(thm)],[c_60,c_127]) ).
tcf(c_2802,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 )
| ( op(e2,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_61,c_111]) ).
tcf(c_2836,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_62,c_148]) ).
tcf(c_2837,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e2,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_62,c_117]) ).
tcf(c_2984,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_63,c_151]) ).
tcf(c_2985,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e3,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_63,c_149]) ).
tcf(c_2986,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e2,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_63,c_123]) ).
tcf(c_2987,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e1,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_63,c_122]) ).
tcf(c_2988,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e0,e2) != e3 ) ),
inference(superposition,[status(thm)],[c_63,c_120]) ).
tcf(c_3019,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e1) != e3 ) ),
inference(superposition,[status(thm)],[c_64,c_152]) ).
tcf(c_3020,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e0) != e3 ) ),
inference(superposition,[status(thm)],[c_64,c_150]) ).
tcf(c_3022,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e1,e3) != e3 ) ),
inference(superposition,[status(thm)],[c_64,c_128]) ).
tcf(c_3460,plain,
! [X0: $i] :
( ( op(e1,e0) = op(e1,e1) )
| ( op(e1,e1) != X0 )
| ( op(e1,e0) != X0 ) ),
inference(instantiation,[status(thm)],[c_1448]) ).
tcf(c_3461,plain,
( ( op(e1,e0) = op(e1,e1) )
| ( op(e1,e1) != e0 )
| ( op(e1,e0) != e0 ) ),
inference(instantiation,[status(thm)],[c_3460]) ).
tcf(c_3474,plain,
! [X0: $i] :
( ( op(e2,e0) = op(e2,e2) )
| ( op(e2,e2) != X0 )
| ( op(e2,e0) != X0 ) ),
inference(instantiation,[status(thm)],[c_1448]) ).
tcf(c_3475,plain,
( ( op(e2,e0) = op(e2,e2) )
| ( op(e2,e2) != e0 )
| ( op(e2,e0) != e0 ) ),
inference(instantiation,[status(thm)],[c_3474]) ).
tcf(c_3488,plain,
! [X0: $i] :
( ( op(e3,e0) = op(e3,e3) )
| ( op(e3,e3) != X0 )
| ( op(e3,e0) != X0 ) ),
inference(instantiation,[status(thm)],[c_1448]) ).
tcf(c_3489,plain,
( ( op(e3,e0) = op(e3,e3) )
| ( op(e3,e3) != e0 )
| ( op(e3,e0) != e0 ) ),
inference(instantiation,[status(thm)],[c_3488]) ).
tcf(c_3576,plain,
( ( e0 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_84,c_82]) ).
tcf(c_3595,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3576,c_154]) ).
tcf(c_3759,plain,
( ( e1 = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(superposition,[status(thm)],[c_88,c_84]) ).
tcf(c_3786,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3759,c_158]) ).
tcf(c_3866,plain,
( ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit )
| ( e0 = e2 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_90,c_2226]) ).
tcf(c_3880,plain,
( ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3866,c_155]) ).
tcf(c_3899,plain,
( ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit )
| ( e0 = e2 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_91,c_2227]) ).
tcf(c_3913,plain,
( ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3899,c_155]) ).
tcf(c_3934,plain,
( ( e2 = unit )
| ( e1 = unit )
| ( e1 = e2 )
| ( e0 = unit )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(superposition,[status(thm)],[c_92,c_2226]) ).
tcf(c_3980,plain,
( ( e0 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(superposition,[status(thm)],[c_93,c_91]) ).
tcf(c_4011,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3980,c_154]) ).
tcf(c_4189,plain,
( ( e2 = unit )
| ( e1 = unit )
| ( e0 = unit )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(superposition,[status(thm)],[c_97,c_2268]) ).
tcf(c_4247,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 )
| ( op(e2,e3) != e0 ) ),
inference(superposition,[status(thm)],[c_98,c_129]) ).
tcf(c_4281,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e3,e2) != e0 ) ),
inference(superposition,[status(thm)],[c_99,c_153]) ).
tcf(c_4282,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 )
| ( op(e3,e1) != e0 ) ),
inference(superposition,[status(thm)],[c_99,c_152]) ).
tcf(c_4319,plain,
( ( e0 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_100,c_98]) ).
tcf(c_4325,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 )
| ( op(e2,e3) != e1 ) ),
inference(superposition,[status(thm)],[c_100,c_129]) ).
tcf(c_4354,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4319,c_154]) ).
tcf(c_4384,plain,
( ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e3,e2) != e1 ) ),
inference(superposition,[status(thm)],[c_101,c_153]) ).
tcf(c_4386,plain,
( ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 )
| ( op(e3,e0) != e1 ) ),
inference(superposition,[status(thm)],[c_101,c_150]) ).
tcf(c_4444,plain,
( ( e1 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(superposition,[status(thm)],[c_102,c_101]) ).
tcf(c_4497,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4444,c_157]) ).
tcf(c_4846,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e2) != e3 )
| ( op(e2,op(e2,e3)) != e0 )
| ( op(e2,op(e2,e2)) != e1 ) ),
inference(superposition,[status(thm)],[c_59,c_166]) ).
tcf(c_5056,plain,
( ( op(e3,e3) != e0 )
| ( op(e2,e2) != e0 )
| ( op(e1,e1) != e0 ) ),
inference(global_subsumption_just,[status(thm)],[c_160,c_150,c_143,c_136,c_75,c_160,c_3461,c_3475,c_3489]) ).
tcf(c_5389,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_57,c_2734]) ).
tcf(c_5426,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 )
| ( op(e2,e2) != e3 )
| ( op(e2,op(e2,e3)) != e1 )
| ( op(e2,op(e2,e2)) != e0 ) ),
inference(superposition,[status(thm)],[c_59,c_172]) ).
tcf(c_5449,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 )
| ( op(e3,e3) != e2 )
| ( op(e3,op(e3,e3)) != e0 )
| ( op(e3,op(e3,e2)) != e1 ) ),
inference(superposition,[status(thm)],[c_102,c_174]) ).
tcf(c_5637,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(superposition,[status(thm)],[c_56,c_2767]) ).
tcf(c_5685,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_57,c_2802]) ).
tcf(c_5737,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(superposition,[status(thm)],[c_81,c_2836]) ).
tcf(c_5868,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_62,c_2984]) ).
tcf(c_5894,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_61,c_2985]) ).
tcf(c_6004,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(superposition,[status(thm)],[c_62,c_3019]) ).
tcf(c_6032,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(superposition,[status(thm)],[c_61,c_3020]) ).
tcf(c_6120,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_6032,c_6004,c_5894,c_5868,c_5737,c_5685,c_5637,c_5449,c_5426,c_5389,c_5056,c_4846,c_4497,c_4386,c_4384,c_4354,c_4325,c_4282,c_4281,c_4247,c_4189,c_4011,c_3934,c_3913,c_3880,c_3786,c_3595,c_3022,c_2988,c_2987,c_2986,c_2985,c_2837,c_2767,c_2736,c_187,c_186,c_184,c_181,c_180,c_178,c_174,c_173,c_169,c_168,c_163,c_162,c_161,c_159,c_158,c_157,c_156,c_155,c_154,c_153,c_151,c_150,c_149,c_147,c_146,c_145,c_144,c_143,c_142,c_141,c_140,c_139,c_138,c_136,c_135,c_134,c_133,c_129,c_127,c_126,c_123,c_122,c_121,c_120,c_119,c_117,c_116,c_114,c_112,c_111,c_110,c_109,c_108,c_102,c_101,c_100,c_99,c_98,c_96,c_92,c_90,c_89,c_86,c_83,c_80,c_78,c_77,c_73,c_72,c_71,c_70,c_69,c_68,c_67,c_66,c_65,c_59,c_58,c_57,c_54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG046+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 04:39:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 0.11/0.42
% 0.11/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.42
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 2.33/1.29 % SZS status Started for theBenchmark.p
% 2.33/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.29
% 2.33/1.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.33/1.29
% 2.33/1.29 % ------ iProver source info
% 2.33/1.29
% 2.33/1.29 % git: date: 2026-07-19 20:42:38 +0200
% 2.33/1.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.33/1.29 % git: non_committed_changes: false
% 2.33/1.29
% 2.33/1.29 % ------ Parsing...
% 2.33/1.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.33/1.29
% 2.33/1.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.33/1.29
% 2.33/1.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.33/1.29
% 2.33/1.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.33/1.29 % ------ Proving...
% 2.33/1.29 % ------ Problem Properties
% 2.33/1.29
% 2.33/1.29 %
% 2.33/1.29 % clauses 139
% 2.33/1.29 % conjectures 0
% 2.33/1.29 % EPR 7
% 2.33/1.29 % Horn 90
% 2.33/1.29 % unary 62
% 2.33/1.29 % binary 0
% 2.33/1.29 % lits 346
% 2.33/1.29 % lits eq 346
% 2.33/1.29 % fd_pure 0
% 2.33/1.29 % fd_pseudo 0
% 2.33/1.29 % fd_cond 0
% 2.33/1.29 % fd_pseudo_cond 0
% 2.33/1.29 % AC symbols 0
% 2.33/1.29
% 2.33/1.29 % ------ Schedule dynamic 5 is on
% 2.33/1.29
% 2.33/1.29 % ------ no conjectures: strip conj schedule
% 2.33/1.29
% 2.33/1.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 2.33/1.29
% 2.33/1.29
% 2.33/1.29 % ------
% 2.33/1.29 % Current options:
% 2.33/1.29 % ------
% 2.33/1.29
% 2.33/1.29
% 2.33/1.29 %
% 2.33/1.29
% 2.33/1.29 % ------ Proving...
% 2.33/1.29 %
% 2.33/1.29
% 2.33/1.29 % SZS status Unsatisfiable for theBenchmark.p
% 2.33/1.29
% 2.33/1.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.33/1.29
% 2.33/1.29
%------------------------------------------------------------------------------