%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG185+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 : n004.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 12:53:43 PM UTC 2026
% Result : Theorem 2.35s 1.19s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 45
% Syntax : Number of formulae : 253 ( 236 unt; 40 def)
% Number of atoms : 964 ( 790 equ)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 575 ( 37 ~; 196 |; 340 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 74 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of types : 0 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 42 ( 40 usr; 41 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e13 != e14
& e12 != e14
& e12 != e13
& e11 != e14
& e11 != e13
& e11 != e12
& e10 != e14
& e10 != e13
& e10 != e12
& e10 != e11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( e23 != e24
& e22 != e24
& e22 != e23
& e21 != e24
& e21 != e23
& e21 != e22
& e20 != e24
& e20 != e23
& e20 != e22
& e20 != e21 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f4,axiom,
( op1(e14,e14) = e14
& op1(e14,e13) = e10
& op1(e14,e12) = e11
& op1(e14,e11) = e12
& op1(e14,e10) = e13
& op1(e13,e14) = e11
& op1(e13,e13) = e13
& op1(e13,e12) = e10
& op1(e13,e11) = e14
& op1(e13,e10) = e12
& op1(e12,e14) = e13
& op1(e12,e13) = e14
& op1(e12,e12) = e12
& op1(e12,e11) = e10
& op1(e12,e10) = e11
& op1(e11,e14) = e10
& op1(e11,e13) = e12
& op1(e11,e12) = e13
& op1(e11,e11) = e11
& op1(e11,e10) = e14
& op1(e10,e14) = e12
& op1(e10,e13) = e11
& op1(e10,e12) = e14
& op1(e10,e11) = e13
& op1(e10,e10) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e24,e24) = e24
& op2(e24,e23) = e21
& op2(e24,e22) = e20
& op2(e24,e21) = e22
& op2(e24,e20) = e23
& op2(e23,e24) = e22
& op2(e23,e23) = e23
& op2(e23,e22) = e21
& op2(e23,e21) = e20
& op2(e23,e20) = e24
& op2(e22,e24) = e23
& op2(e22,e23) = e20
& op2(e22,e22) = e22
& op2(e22,e21) = e24
& op2(e22,e20) = e21
& op2(e21,e24) = e20
& op2(e21,e23) = e24
& op2(e21,e22) = e23
& op2(e21,e21) = e21
& op2(e21,e20) = e22
& op2(e20,e24) = e21
& op2(e20,e23) = e22
& op2(e20,e22) = e24
& op2(e20,e21) = e23
& op2(e20,e20) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,conjecture,
( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7,negated_conjecture,
~ ( ( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 ) )
=> ~ ( j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f8,plain,
( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 )
& j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ),
inference(ennf_transformation,[],[f7]) ).
fof(f9,plain,
( ( j(e24) = e14
| j(e24) = e13
| j(e24) = e12
| j(e24) = e11
| j(e24) = e10 )
& ( j(e23) = e14
| j(e23) = e13
| j(e23) = e12
| j(e23) = e11
| j(e23) = e10 )
& ( j(e22) = e14
| j(e22) = e13
| j(e22) = e12
| j(e22) = e11
| j(e22) = e10 )
& ( j(e21) = e14
| j(e21) = e13
| j(e21) = e12
| j(e21) = e11
| j(e21) = e10 )
& ( j(e20) = e14
| j(e20) = e13
| j(e20) = e12
| j(e20) = e11
| j(e20) = e10 )
& ( h(e14) = e24
| h(e14) = e23
| h(e14) = e22
| h(e14) = e21
| h(e14) = e20 )
& ( h(e13) = e24
| h(e13) = e23
| h(e13) = e22
| h(e13) = e21
| h(e13) = e20 )
& ( h(e12) = e24
| h(e12) = e23
| h(e12) = e22
| h(e12) = e21
| h(e12) = e20 )
& ( h(e11) = e24
| h(e11) = e23
| h(e11) = e22
| h(e11) = e21
| h(e11) = e20 )
& ( h(e10) = e24
| h(e10) = e23
| h(e10) = e22
| h(e10) = e21
| h(e10) = e20 )
& j(h(e14)) = e14
& j(h(e13)) = e13
& j(h(e12)) = e12
& j(h(e11)) = e11
& j(h(e10)) = e10
& h(j(e24)) = e24
& h(j(e23)) = e23
& h(j(e22)) = e22
& h(j(e21)) = e21
& h(j(e20)) = e20
& j(op2(e24,e24)) = op1(j(e24),j(e24))
& j(op2(e24,e23)) = op1(j(e24),j(e23))
& j(op2(e24,e22)) = op1(j(e24),j(e22))
& j(op2(e24,e21)) = op1(j(e24),j(e21))
& j(op2(e24,e20)) = op1(j(e24),j(e20))
& j(op2(e23,e24)) = op1(j(e23),j(e24))
& j(op2(e23,e23)) = op1(j(e23),j(e23))
& j(op2(e23,e22)) = op1(j(e23),j(e22))
& j(op2(e23,e21)) = op1(j(e23),j(e21))
& j(op2(e23,e20)) = op1(j(e23),j(e20))
& j(op2(e22,e24)) = op1(j(e22),j(e24))
& j(op2(e22,e23)) = op1(j(e22),j(e23))
& j(op2(e22,e22)) = op1(j(e22),j(e22))
& j(op2(e22,e21)) = op1(j(e22),j(e21))
& j(op2(e22,e20)) = op1(j(e22),j(e20))
& j(op2(e21,e24)) = op1(j(e21),j(e24))
& j(op2(e21,e23)) = op1(j(e21),j(e23))
& j(op2(e21,e22)) = op1(j(e21),j(e22))
& j(op2(e21,e21)) = op1(j(e21),j(e21))
& j(op2(e21,e20)) = op1(j(e21),j(e20))
& j(op2(e20,e24)) = op1(j(e20),j(e24))
& j(op2(e20,e23)) = op1(j(e20),j(e23))
& j(op2(e20,e22)) = op1(j(e20),j(e22))
& j(op2(e20,e21)) = op1(j(e20),j(e21))
& j(op2(e20,e20)) = op1(j(e20),j(e20))
& h(op1(e14,e14)) = op2(h(e14),h(e14))
& h(op1(e14,e13)) = op2(h(e14),h(e13))
& h(op1(e14,e12)) = op2(h(e14),h(e12))
& h(op1(e14,e11)) = op2(h(e14),h(e11))
& h(op1(e14,e10)) = op2(h(e14),h(e10))
& h(op1(e13,e14)) = op2(h(e13),h(e14))
& h(op1(e13,e13)) = op2(h(e13),h(e13))
& h(op1(e13,e12)) = op2(h(e13),h(e12))
& h(op1(e13,e11)) = op2(h(e13),h(e11))
& h(op1(e13,e10)) = op2(h(e13),h(e10))
& h(op1(e12,e14)) = op2(h(e12),h(e14))
& h(op1(e12,e13)) = op2(h(e12),h(e13))
& h(op1(e12,e12)) = op2(h(e12),h(e12))
& h(op1(e12,e11)) = op2(h(e12),h(e11))
& h(op1(e12,e10)) = op2(h(e12),h(e10))
& h(op1(e11,e14)) = op2(h(e11),h(e14))
& h(op1(e11,e13)) = op2(h(e11),h(e13))
& h(op1(e11,e12)) = op2(h(e11),h(e12))
& h(op1(e11,e11)) = op2(h(e11),h(e11))
& h(op1(e11,e10)) = op2(h(e11),h(e10))
& h(op1(e10,e14)) = op2(h(e10),h(e14))
& h(op1(e10,e13)) = op2(h(e10),h(e13))
& h(op1(e10,e12)) = op2(h(e10),h(e12))
& h(op1(e10,e11)) = op2(h(e10),h(e11))
& h(op1(e10,e10)) = op2(h(e10),h(e10)) ),
inference(flattening,[],[f8]) ).
fof(f11,plain,
e12 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
e10 != e13,
inference(cnf_transformation,[],[f1]) ).
fof(f21,plain,
e22 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f23,plain,
e21 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f24,plain,
e21 != e23,
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
e20 != e22,
inference(cnf_transformation,[],[f2]) ).
fof(f56,plain,
e10 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f57,plain,
e11 = op1(e14,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f58,plain,
e12 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f59,plain,
e13 = op1(e14,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f62,plain,
e10 = op1(e13,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f64,plain,
e12 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f65,plain,
e13 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f68,plain,
e10 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e11 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f70,plain,
e10 = op1(e11,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f71,plain,
e12 = op1(e11,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f74,plain,
e14 = op1(e11,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f75,plain,
e12 = op1(e10,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f76,plain,
e11 = op1(e10,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f78,plain,
e13 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e24 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e21 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f83,plain,
e22 = op2(e24,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e23 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f85,plain,
e22 = op2(e23,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f88,plain,
e20 = op2(e23,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f89,plain,
e24 = op2(e23,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f90,plain,
e23 = op2(e22,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f93,plain,
e24 = op2(e22,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f95,plain,
e20 = op2(e21,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f96,plain,
e24 = op2(e21,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f97,plain,
e23 = op2(e21,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
e22 = op2(e21,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
e21 = op2(e20,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f102,plain,
e24 = op2(e20,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f103,plain,
e23 = op2(e20,e21),
inference(cnf_transformation,[],[f5]) ).
fof(f108,plain,
( e14 = j(e21)
| e13 = j(e21)
| e12 = j(e21)
| e11 = j(e21)
| e10 = j(e21) ),
inference(cnf_transformation,[],[f9]) ).
fof(f110,plain,
( e24 = h(e14)
| e23 = h(e14)
| e22 = h(e14)
| e21 = h(e14)
| e20 = h(e14) ),
inference(cnf_transformation,[],[f9]) ).
fof(f114,plain,
( e24 = h(e10)
| e23 = h(e10)
| e22 = h(e10)
| e21 = h(e10)
| e20 = h(e10) ),
inference(cnf_transformation,[],[f9]) ).
fof(f115,plain,
e14 = j(h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f116,plain,
e13 = j(h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f117,plain,
e12 = j(h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f119,plain,
e10 = j(h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f120,plain,
e24 = h(j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f122,plain,
e22 = h(j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f123,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f128,plain,
j(op2(e24,e21)) = op1(j(e24),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f129,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f133,plain,
j(op2(e23,e21)) = op1(j(e23),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f138,plain,
j(op2(e22,e21)) = op1(j(e22),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f140,plain,
j(op2(e21,e24)) = op1(j(e21),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f141,plain,
j(op2(e21,e23)) = op1(j(e21),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f144,plain,
j(op2(e21,e20)) = op1(j(e21),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f145,plain,
j(op2(e20,e24)) = op1(j(e20),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f147,plain,
j(op2(e20,e22)) = op1(j(e20),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f148,plain,
j(op2(e20,e21)) = op1(j(e20),j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f151,plain,
h(op1(e14,e13)) = op2(h(e14),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f152,plain,
h(op1(e14,e12)) = op2(h(e14),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f153,plain,
h(op1(e14,e11)) = op2(h(e14),h(e11)),
inference(cnf_transformation,[],[f9]) ).
fof(f154,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f157,plain,
h(op1(e13,e12)) = op2(h(e13),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f159,plain,
h(op1(e13,e10)) = op2(h(e13),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f160,plain,
h(op1(e12,e14)) = op2(h(e12),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f165,plain,
h(op1(e11,e14)) = op2(h(e11),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f166,plain,
h(op1(e11,e13)) = op2(h(e11),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f170,plain,
h(op1(e10,e14)) = op2(h(e10),h(e14)),
inference(cnf_transformation,[],[f9]) ).
fof(f171,plain,
h(op1(e10,e13)) = op2(h(e10),h(e13)),
inference(cnf_transformation,[],[f9]) ).
fof(f173,plain,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_51,plain,
e10 != e13,
inference(cnf_transformation,[],[f17]) ).
tcf(c_52,plain,
e10 != e14,
inference(cnf_transformation,[],[f16]) ).
tcf(c_57,plain,
e12 != e14,
inference(cnf_transformation,[],[f11]) ).
tcf(c_60,plain,
e20 != e22,
inference(cnf_transformation,[],[f28]) ).
tcf(c_64,plain,
e21 != e23,
inference(cnf_transformation,[],[f24]) ).
tcf(c_65,plain,
e21 != e24,
inference(cnf_transformation,[],[f23]) ).
tcf(c_67,plain,
e22 != e24,
inference(cnf_transformation,[],[f21]) ).
tcf(c_95,plain,
op1(e10,e11) = e13,
inference(cnf_transformation,[],[f78]) ).
tcf(c_97,plain,
op1(e10,e13) = e11,
inference(cnf_transformation,[],[f76]) ).
tcf(c_98,plain,
op1(e10,e14) = e12,
inference(cnf_transformation,[],[f75]) ).
tcf(c_99,plain,
op1(e11,e10) = e14,
inference(cnf_transformation,[],[f74]) ).
tcf(c_102,plain,
op1(e11,e13) = e12,
inference(cnf_transformation,[],[f71]) ).
tcf(c_103,plain,
op1(e11,e14) = e10,
inference(cnf_transformation,[],[f70]) ).
tcf(c_104,plain,
op1(e12,e10) = e11,
inference(cnf_transformation,[],[f69]) ).
tcf(c_105,plain,
op1(e12,e11) = e10,
inference(cnf_transformation,[],[f68]) ).
tcf(c_108,plain,
op1(e12,e14) = e13,
inference(cnf_transformation,[],[f65]) ).
tcf(c_109,plain,
op1(e13,e10) = e12,
inference(cnf_transformation,[],[f64]) ).
tcf(c_111,plain,
op1(e13,e12) = e10,
inference(cnf_transformation,[],[f62]) ).
tcf(c_114,plain,
op1(e14,e10) = e13,
inference(cnf_transformation,[],[f59]) ).
tcf(c_115,plain,
op1(e14,e11) = e12,
inference(cnf_transformation,[],[f58]) ).
tcf(c_116,plain,
op1(e14,e12) = e11,
inference(cnf_transformation,[],[f57]) ).
tcf(c_117,plain,
op1(e14,e13) = e10,
inference(cnf_transformation,[],[f56]) ).
tcf(c_120,plain,
op2(e20,e21) = e23,
inference(cnf_transformation,[],[f103]) ).
tcf(c_121,plain,
op2(e20,e22) = e24,
inference(cnf_transformation,[],[f102]) ).
tcf(c_123,plain,
op2(e20,e24) = e21,
inference(cnf_transformation,[],[f100]) ).
tcf(c_124,plain,
op2(e21,e20) = e22,
inference(cnf_transformation,[],[f99]) ).
tcf(c_126,plain,
op2(e21,e22) = e23,
inference(cnf_transformation,[],[f97]) ).
tcf(c_127,plain,
op2(e21,e23) = e24,
inference(cnf_transformation,[],[f96]) ).
tcf(c_128,plain,
op2(e21,e24) = e20,
inference(cnf_transformation,[],[f95]) ).
tcf(c_130,plain,
op2(e22,e21) = e24,
inference(cnf_transformation,[],[f93]) ).
tcf(c_133,plain,
op2(e22,e24) = e23,
inference(cnf_transformation,[],[f90]) ).
tcf(c_134,plain,
op2(e23,e20) = e24,
inference(cnf_transformation,[],[f89]) ).
tcf(c_135,plain,
op2(e23,e21) = e20,
inference(cnf_transformation,[],[f88]) ).
tcf(c_138,plain,
op2(e23,e24) = e22,
inference(cnf_transformation,[],[f85]) ).
tcf(c_139,plain,
op2(e24,e20) = e23,
inference(cnf_transformation,[],[f84]) ).
tcf(c_140,plain,
op2(e24,e21) = e22,
inference(cnf_transformation,[],[f83]) ).
tcf(c_142,plain,
op2(e24,e23) = e21,
inference(cnf_transformation,[],[f81]) ).
tcf(c_143,plain,
op2(e24,e24) = e24,
inference(cnf_transformation,[],[f80]) ).
tcf(c_145,negated_conjecture,
op2(h(e10),h(e11)) = h(op1(e10,e11)),
inference(cnf_transformation,[],[f173]) ).
tcf(c_147,negated_conjecture,
op2(h(e10),h(e13)) = h(op1(e10,e13)),
inference(cnf_transformation,[],[f171]) ).
tcf(c_148,negated_conjecture,
op2(h(e10),h(e14)) = h(op1(e10,e14)),
inference(cnf_transformation,[],[f170]) ).
tcf(c_152,negated_conjecture,
op2(h(e11),h(e13)) = h(op1(e11,e13)),
inference(cnf_transformation,[],[f166]) ).
tcf(c_153,negated_conjecture,
op2(h(e11),h(e14)) = h(op1(e11,e14)),
inference(cnf_transformation,[],[f165]) ).
tcf(c_158,negated_conjecture,
op2(h(e12),h(e14)) = h(op1(e12,e14)),
inference(cnf_transformation,[],[f160]) ).
tcf(c_159,negated_conjecture,
op2(h(e13),h(e10)) = h(op1(e13,e10)),
inference(cnf_transformation,[],[f159]) ).
tcf(c_161,negated_conjecture,
op2(h(e13),h(e12)) = h(op1(e13,e12)),
inference(cnf_transformation,[],[f157]) ).
tcf(c_164,negated_conjecture,
op2(h(e14),h(e10)) = h(op1(e14,e10)),
inference(cnf_transformation,[],[f154]) ).
tcf(c_165,negated_conjecture,
op2(h(e14),h(e11)) = h(op1(e14,e11)),
inference(cnf_transformation,[],[f153]) ).
tcf(c_166,negated_conjecture,
op2(h(e14),h(e12)) = h(op1(e14,e12)),
inference(cnf_transformation,[],[f152]) ).
tcf(c_167,negated_conjecture,
op2(h(e14),h(e13)) = h(op1(e14,e13)),
inference(cnf_transformation,[],[f151]) ).
tcf(c_170,negated_conjecture,
op1(j(e20),j(e21)) = j(op2(e20,e21)),
inference(cnf_transformation,[],[f148]) ).
tcf(c_171,negated_conjecture,
op1(j(e20),j(e22)) = j(op2(e20,e22)),
inference(cnf_transformation,[],[f147]) ).
tcf(c_173,negated_conjecture,
op1(j(e20),j(e24)) = j(op2(e20,e24)),
inference(cnf_transformation,[],[f145]) ).
tcf(c_174,negated_conjecture,
op1(j(e21),j(e20)) = j(op2(e21,e20)),
inference(cnf_transformation,[],[f144]) ).
tcf(c_177,negated_conjecture,
op1(j(e21),j(e23)) = j(op2(e21,e23)),
inference(cnf_transformation,[],[f141]) ).
tcf(c_178,negated_conjecture,
op1(j(e21),j(e24)) = j(op2(e21,e24)),
inference(cnf_transformation,[],[f140]) ).
tcf(c_180,negated_conjecture,
op1(j(e22),j(e21)) = j(op2(e22,e21)),
inference(cnf_transformation,[],[f138]) ).
tcf(c_185,negated_conjecture,
op1(j(e23),j(e21)) = j(op2(e23,e21)),
inference(cnf_transformation,[],[f133]) ).
tcf(c_189,negated_conjecture,
op1(j(e24),j(e20)) = j(op2(e24,e20)),
inference(cnf_transformation,[],[f129]) ).
tcf(c_190,negated_conjecture,
op1(j(e24),j(e21)) = j(op2(e24,e21)),
inference(cnf_transformation,[],[f128]) ).
tcf(c_193,negated_conjecture,
op1(j(e24),j(e24)) = j(op2(e24,e24)),
inference(cnf_transformation,[],[f125]) ).
tcf(c_195,negated_conjecture,
h(j(e21)) = e21,
inference(cnf_transformation,[],[f123]) ).
tcf(c_196,negated_conjecture,
h(j(e22)) = e22,
inference(cnf_transformation,[],[f122]) ).
tcf(c_198,negated_conjecture,
h(j(e24)) = e24,
inference(cnf_transformation,[],[f120]) ).
tcf(c_199,negated_conjecture,
j(h(e10)) = e10,
inference(cnf_transformation,[],[f119]) ).
tcf(c_201,negated_conjecture,
j(h(e12)) = e12,
inference(cnf_transformation,[],[f117]) ).
tcf(c_202,negated_conjecture,
j(h(e13)) = e13,
inference(cnf_transformation,[],[f116]) ).
tcf(c_203,negated_conjecture,
j(h(e14)) = e14,
inference(cnf_transformation,[],[f115]) ).
tcf(c_204,negated_conjecture,
( ( h(e10) = e24 )
| ( h(e10) = e23 )
| ( h(e10) = e22 )
| ( h(e10) = e21 )
| ( h(e10) = e20 ) ),
inference(cnf_transformation,[],[f114]) ).
tcf(c_208,negated_conjecture,
( ( h(e14) = e24 )
| ( h(e14) = e23 )
| ( h(e14) = e22 )
| ( h(e14) = e21 )
| ( h(e14) = e20 ) ),
inference(cnf_transformation,[],[f110]) ).
tcf(c_210,negated_conjecture,
( ( j(e21) = e14 )
| ( j(e21) = e13 )
| ( j(e21) = e12 )
| ( j(e21) = e11 )
| ( j(e21) = e10 ) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_624,plain,
op1(j(e24),j(e24)) = j(e24),
inference(light_normalisation,[status(thm)],[c_193,c_143]) ).
tcf(c_627,plain,
op1(j(e24),j(e21)) = j(e22),
inference(light_normalisation,[status(thm)],[c_190,c_140]) ).
tcf(c_628,plain,
op1(j(e24),j(e20)) = j(e23),
inference(light_normalisation,[status(thm)],[c_189,c_139]) ).
tcf(c_632,plain,
op1(j(e23),j(e21)) = j(e20),
inference(light_normalisation,[status(thm)],[c_185,c_135]) ).
tcf(c_637,plain,
op1(j(e22),j(e21)) = j(e24),
inference(light_normalisation,[status(thm)],[c_180,c_130]) ).
tcf(c_639,plain,
op1(j(e21),j(e24)) = j(e20),
inference(light_normalisation,[status(thm)],[c_178,c_128]) ).
tcf(c_640,plain,
op1(j(e21),j(e23)) = j(e24),
inference(light_normalisation,[status(thm)],[c_177,c_127]) ).
tcf(c_643,plain,
op1(j(e21),j(e20)) = j(e22),
inference(light_normalisation,[status(thm)],[c_174,c_124]) ).
tcf(c_644,plain,
op1(j(e20),j(e24)) = j(e21),
inference(light_normalisation,[status(thm)],[c_173,c_123]) ).
tcf(c_646,plain,
op1(j(e20),j(e22)) = j(e24),
inference(light_normalisation,[status(thm)],[c_171,c_121]) ).
tcf(c_647,plain,
op1(j(e20),j(e21)) = j(e23),
inference(light_normalisation,[status(thm)],[c_170,c_120]) ).
tcf(c_650,plain,
op2(h(e14),h(e13)) = h(e10),
inference(light_normalisation,[status(thm)],[c_167,c_117]) ).
tcf(c_651,plain,
op2(h(e14),h(e12)) = h(e11),
inference(light_normalisation,[status(thm)],[c_166,c_116]) ).
tcf(c_652,plain,
op2(h(e14),h(e11)) = h(e12),
inference(light_normalisation,[status(thm)],[c_165,c_115]) ).
tcf(c_653,plain,
op2(h(e14),h(e10)) = h(e13),
inference(light_normalisation,[status(thm)],[c_164,c_114]) ).
tcf(c_656,plain,
op2(h(e13),h(e12)) = h(e10),
inference(light_normalisation,[status(thm)],[c_161,c_111]) ).
tcf(c_658,plain,
op2(h(e13),h(e10)) = h(e12),
inference(light_normalisation,[status(thm)],[c_159,c_109]) ).
tcf(c_659,plain,
op2(h(e12),h(e14)) = h(e13),
inference(light_normalisation,[status(thm)],[c_158,c_108]) ).
tcf(c_664,plain,
op2(h(e11),h(e14)) = h(e10),
inference(light_normalisation,[status(thm)],[c_153,c_103]) ).
tcf(c_665,plain,
op2(h(e11),h(e13)) = h(e12),
inference(light_normalisation,[status(thm)],[c_152,c_102]) ).
tcf(c_669,plain,
op2(h(e10),h(e14)) = h(e12),
inference(light_normalisation,[status(thm)],[c_148,c_98]) ).
tcf(c_670,plain,
op2(h(e10),h(e13)) = h(e11),
inference(light_normalisation,[status(thm)],[c_147,c_97]) ).
tcf(c_672,plain,
op2(h(e10),h(e11)) = h(e13),
inference(light_normalisation,[status(thm)],[c_145,c_95]) ).
tcf(c_775,definition,
iPr_def_10 = h(e10),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_777,definition,
iPr_def_12 = h(e11),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_778,definition,
iPr_def_13 = op2(iPr_def_10,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_779,definition,
iPr_def_14 = h(e13),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_780,definition,
iPr_def_15 = h(e12),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_782,definition,
iPr_def_17 = h(e14),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_783,definition,
iPr_def_18 = op2(iPr_def_10,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_784,definition,
iPr_def_19 = op2(iPr_def_10,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_788,definition,
iPr_def_23 = op2(iPr_def_12,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_789,definition,
iPr_def_24 = op2(iPr_def_12,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_794,definition,
iPr_def_29 = op2(iPr_def_15,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_795,definition,
iPr_def_30 = op2(iPr_def_14,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_30])],[]) ).
tcf(c_797,definition,
iPr_def_32 = op2(iPr_def_14,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_32])],[]) ).
tcf(c_800,definition,
iPr_def_35 = op2(iPr_def_17,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_35])],[]) ).
tcf(c_801,definition,
iPr_def_36 = op2(iPr_def_17,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_36])],[]) ).
tcf(c_802,definition,
iPr_def_37 = op2(iPr_def_17,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_37])],[]) ).
tcf(c_803,definition,
iPr_def_38 = op2(iPr_def_17,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_38])],[]) ).
tcf(c_805,definition,
iPr_def_40 = j(e20),
introduced(definition,[new_symbols(definition,[iPr_def_40])],[]) ).
tcf(c_807,definition,
iPr_def_42 = j(e21),
introduced(definition,[new_symbols(definition,[iPr_def_42])],[]) ).
tcf(c_808,definition,
iPr_def_43 = op1(iPr_def_40,iPr_def_42),
introduced(definition,[new_symbols(definition,[iPr_def_43])],[]) ).
tcf(c_809,definition,
iPr_def_44 = j(e23),
introduced(definition,[new_symbols(definition,[iPr_def_44])],[]) ).
tcf(c_810,definition,
iPr_def_45 = j(e22),
introduced(definition,[new_symbols(definition,[iPr_def_45])],[]) ).
tcf(c_811,definition,
iPr_def_46 = op1(iPr_def_40,iPr_def_45),
introduced(definition,[new_symbols(definition,[iPr_def_46])],[]) ).
tcf(c_812,definition,
iPr_def_47 = j(e24),
introduced(definition,[new_symbols(definition,[iPr_def_47])],[]) ).
tcf(c_814,definition,
iPr_def_49 = op1(iPr_def_40,iPr_def_47),
introduced(definition,[new_symbols(definition,[iPr_def_49])],[]) ).
tcf(c_815,definition,
iPr_def_50 = op1(iPr_def_42,iPr_def_40),
introduced(definition,[new_symbols(definition,[iPr_def_50])],[]) ).
tcf(c_818,definition,
iPr_def_53 = op1(iPr_def_42,iPr_def_44),
introduced(definition,[new_symbols(definition,[iPr_def_53])],[]) ).
tcf(c_819,definition,
iPr_def_54 = op1(iPr_def_42,iPr_def_47),
introduced(definition,[new_symbols(definition,[iPr_def_54])],[]) ).
tcf(c_821,definition,
iPr_def_56 = op1(iPr_def_45,iPr_def_42),
introduced(definition,[new_symbols(definition,[iPr_def_56])],[]) ).
tcf(c_826,definition,
iPr_def_61 = op1(iPr_def_44,iPr_def_42),
introduced(definition,[new_symbols(definition,[iPr_def_61])],[]) ).
tcf(c_830,definition,
iPr_def_65 = op1(iPr_def_47,iPr_def_40),
introduced(definition,[new_symbols(definition,[iPr_def_65])],[]) ).
tcf(c_831,definition,
iPr_def_66 = op1(iPr_def_47,iPr_def_42),
introduced(definition,[new_symbols(definition,[iPr_def_66])],[]) ).
tcf(c_834,definition,
iPr_def_69 = op1(iPr_def_47,iPr_def_47),
introduced(definition,[new_symbols(definition,[iPr_def_69])],[]) ).
tcf(c_835,definition,
iPr_def_70 = j(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_70])],[]) ).
tcf(c_836,definition,
iPr_def_71 = j(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_71])],[]) ).
tcf(c_837,definition,
iPr_def_72 = j(iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_72])],[]) ).
tcf(c_839,definition,
iPr_def_74 = j(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_74])],[]) ).
tcf(c_840,definition,
iPr_def_75 = h(iPr_def_47),
introduced(definition,[new_symbols(definition,[iPr_def_75])],[]) ).
tcf(c_842,definition,
iPr_def_77 = h(iPr_def_45),
introduced(definition,[new_symbols(definition,[iPr_def_77])],[]) ).
tcf(c_843,definition,
iPr_def_78 = h(iPr_def_42),
introduced(definition,[new_symbols(definition,[iPr_def_78])],[]) ).
tcf(c_846,plain,
iPr_def_13 = iPr_def_14,
inference(demodulation,[status(thm)],[c_672,c_779,c_777,c_778]) ).
tcf(c_848,plain,
iPr_def_18 = iPr_def_12,
inference(demodulation,[status(thm)],[c_670,c_783]) ).
tcf(c_849,plain,
iPr_def_19 = iPr_def_15,
inference(demodulation,[status(thm)],[c_669,c_784]) ).
tcf(c_853,plain,
iPr_def_23 = iPr_def_15,
inference(demodulation,[status(thm)],[c_665,c_788]) ).
tcf(c_854,plain,
iPr_def_24 = iPr_def_10,
inference(demodulation,[status(thm)],[c_664,c_789]) ).
tcf(c_859,plain,
iPr_def_29 = iPr_def_14,
inference(demodulation,[status(thm)],[c_659,c_794]) ).
tcf(c_860,plain,
iPr_def_30 = iPr_def_15,
inference(demodulation,[status(thm)],[c_658,c_795]) ).
tcf(c_862,plain,
iPr_def_32 = iPr_def_10,
inference(demodulation,[status(thm)],[c_656,c_797]) ).
tcf(c_865,plain,
iPr_def_35 = iPr_def_14,
inference(demodulation,[status(thm)],[c_653,c_800]) ).
tcf(c_866,plain,
iPr_def_36 = iPr_def_15,
inference(demodulation,[status(thm)],[c_652,c_801]) ).
tcf(c_867,plain,
iPr_def_37 = iPr_def_12,
inference(demodulation,[status(thm)],[c_651,c_802]) ).
tcf(c_868,plain,
iPr_def_38 = iPr_def_10,
inference(demodulation,[status(thm)],[c_650,c_803]) ).
tcf(c_871,plain,
iPr_def_43 = iPr_def_44,
inference(demodulation,[status(thm)],[c_647,c_809,c_807,c_808]) ).
tcf(c_872,plain,
iPr_def_46 = iPr_def_47,
inference(demodulation,[status(thm)],[c_646,c_812,c_810,c_811]) ).
tcf(c_874,plain,
iPr_def_49 = iPr_def_42,
inference(demodulation,[status(thm)],[c_644,c_814]) ).
tcf(c_875,plain,
iPr_def_50 = iPr_def_45,
inference(demodulation,[status(thm)],[c_643,c_815]) ).
tcf(c_878,plain,
iPr_def_53 = iPr_def_47,
inference(demodulation,[status(thm)],[c_640,c_818]) ).
tcf(c_879,plain,
iPr_def_54 = iPr_def_40,
inference(demodulation,[status(thm)],[c_639,c_819]) ).
tcf(c_881,plain,
iPr_def_56 = iPr_def_47,
inference(demodulation,[status(thm)],[c_637,c_821]) ).
tcf(c_886,plain,
iPr_def_61 = iPr_def_40,
inference(demodulation,[status(thm)],[c_632,c_826]) ).
tcf(c_890,plain,
iPr_def_65 = iPr_def_44,
inference(demodulation,[status(thm)],[c_628,c_830]) ).
tcf(c_891,plain,
iPr_def_66 = iPr_def_45,
inference(demodulation,[status(thm)],[c_627,c_831]) ).
tcf(c_894,plain,
iPr_def_69 = iPr_def_47,
inference(demodulation,[status(thm)],[c_624,c_834]) ).
tcf(c_898,negated_conjecture,
( ( iPr_def_42 = e14 )
| ( iPr_def_42 = e13 )
| ( iPr_def_42 = e12 )
| ( iPr_def_42 = e11 )
| ( iPr_def_42 = e10 ) ),
inference(demodulation,[status(thm)],[c_210]) ).
tcf(c_900,negated_conjecture,
( ( iPr_def_17 = e24 )
| ( iPr_def_17 = e23 )
| ( iPr_def_17 = e22 )
| ( iPr_def_17 = e21 )
| ( iPr_def_17 = e20 ) ),
inference(demodulation,[status(thm)],[c_208]) ).
tcf(c_904,negated_conjecture,
( ( iPr_def_10 = e24 )
| ( iPr_def_10 = e23 )
| ( iPr_def_10 = e22 )
| ( iPr_def_10 = e21 )
| ( iPr_def_10 = e20 ) ),
inference(demodulation,[status(thm)],[c_204]) ).
tcf(c_905,negated_conjecture,
iPr_def_70 = e14,
inference(demodulation,[status(thm)],[c_203,c_835]) ).
tcf(c_906,negated_conjecture,
iPr_def_71 = e13,
inference(demodulation,[status(thm)],[c_202,c_836]) ).
tcf(c_907,negated_conjecture,
iPr_def_72 = e12,
inference(demodulation,[status(thm)],[c_201,c_837]) ).
tcf(c_909,negated_conjecture,
iPr_def_74 = e10,
inference(demodulation,[status(thm)],[c_199,c_839]) ).
tcf(c_910,negated_conjecture,
iPr_def_75 = e24,
inference(demodulation,[status(thm)],[c_198,c_840]) ).
tcf(c_912,negated_conjecture,
iPr_def_77 = e22,
inference(demodulation,[status(thm)],[c_196,c_842]) ).
tcf(c_913,negated_conjecture,
iPr_def_78 = e21,
inference(demodulation,[status(thm)],[c_195,c_843]) ).
tcf(c_1738,plain,
iPr_def_13 = iPr_def_29,
inference(light_normalisation,[status(thm)],[c_859,c_846]) ).
tcf(c_1916,plain,
iPr_def_13 = iPr_def_35,
inference(light_normalisation,[status(thm)],[c_865,c_846]) ).
tcf(c_1919,plain,
iPr_def_46 = iPr_def_53,
inference(light_normalisation,[status(thm)],[c_878,c_872]) ).
tcf(c_1920,plain,
iPr_def_46 = iPr_def_56,
inference(light_normalisation,[status(thm)],[c_881,c_872]) ).
tcf(c_1924,plain,
iPr_def_43 = iPr_def_65,
inference(light_normalisation,[status(thm)],[c_890,c_871]) ).
tcf(c_1925,plain,
iPr_def_46 = iPr_def_69,
inference(light_normalisation,[status(thm)],[c_894,c_872]) ).
tcf(c_5101,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_1925,c_1924,c_1920,c_1919,c_1916,c_1738,c_913,c_912,c_910,c_909,c_907,c_906,c_905,c_904,c_900,c_898,c_894,c_891,c_890,c_886,c_879,c_875,c_874,c_868,c_867,c_866,c_865,c_862,c_860,c_854,c_853,c_849,c_848,c_843,c_842,c_840,c_839,c_837,c_836,c_835,c_831,c_826,c_821,c_819,c_818,c_815,c_814,c_812,c_809,c_808,c_807,c_805,c_803,c_802,c_801,c_800,c_797,c_795,c_794,c_789,c_788,c_784,c_783,c_782,c_780,c_779,c_777,c_775,c_142,c_140,c_138,c_135,c_134,c_133,c_130,c_128,c_127,c_126,c_124,c_120,c_117,c_116,c_115,c_114,c_111,c_109,c_105,c_104,c_103,c_99,c_98,c_95,c_67,c_65,c_64,c_60,c_57,c_52,c_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG185+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 : n004.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
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Fri Sep 25 05:00:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 0.11/0.43
% 0.11/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.43
% 0.11/0.43 % Detected problem language: tptp
% 0.11/0.44 % Proving...
% 2.35/1.19 % SZS status Started for theBenchmark.p
% 2.35/1.19 % SZS status Theorem for theBenchmark.p
% 2.35/1.19
% 2.35/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.35/1.19
% 2.35/1.19 % ------ iProver source info
% 2.35/1.19
% 2.35/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 2.35/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.35/1.19 % git: non_committed_changes: false
% 2.35/1.19
% 2.35/1.19 % ------ Parsing...
% 2.35/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.35/1.19
% 2.35/1.19 % ------ Preprocessing... sup_sim: 50 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.35/1.19
% 2.35/1.19 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.35/1.19
% 2.35/1.19 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.35/1.19 % ------ Proving...
% 2.35/1.19 % ------ Problem Properties
% 2.35/1.19
% 2.35/1.19 %
% 2.35/1.19 % clauses 235
% 2.35/1.19 % conjectures 20
% 2.35/1.19 % EPR 115
% 2.35/1.19 % Horn 225
% 2.35/1.19 % unary 225
% 2.35/1.19 % binary 0
% 2.35/1.19 % lits 275
% 2.35/1.19 % lits eq 275
% 2.35/1.19 % fd_pure 0
% 2.35/1.19 % fd_pseudo 0
% 2.35/1.19 % fd_cond 0
% 2.35/1.19 % fd_pseudo_cond 0
% 2.35/1.19 % AC symbols 0
% 2.35/1.19
% 2.35/1.19 % ------ Schedule dynamic 5 is on
% 2.35/1.19
% 2.35/1.19 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.35/1.19
% 2.35/1.19
% 2.35/1.19 % ------
% 2.35/1.19 % Current options:
% 2.35/1.19 % ------
% 2.35/1.19
% 2.35/1.19
% 2.35/1.19 %
% 2.35/1.19
% 2.35/1.19 % ------ Proving...
% 2.35/1.19 %
% 2.35/1.19
% 2.35/1.19 % SZS status Theorem for theBenchmark.p
% 2.35/1.19
% 2.35/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.35/1.19
% 2.35/1.19
%------------------------------------------------------------------------------