%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : ALG180+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 : n019.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 12:53:42 PM UTC 2026
% Result : Theorem 2.76s 1.30s
% Output : CNFRefutation 2.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 27
% Syntax : Number of formulae : 155 ( 144 unt; 22 def)
% Number of atoms : 762 ( 668 equ)
% Maximal formula atoms : 110 ( 4 avg)
% Number of connectives : 545 ( 31 ~; 172 |; 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 : 28 ( 26 usr; 27 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) = e11
& op1(e14,e13) = e13
& op1(e14,e12) = e14
& op1(e14,e11) = e10
& op1(e14,e10) = e12
& op1(e13,e14) = e12
& op1(e13,e13) = e10
& op1(e13,e12) = e13
& op1(e13,e11) = e11
& op1(e13,e10) = e14
& op1(e12,e14) = e10
& op1(e12,e13) = e14
& op1(e12,e12) = e12
& op1(e12,e11) = e13
& op1(e12,e10) = e11
& op1(e11,e14) = e13
& op1(e11,e13) = e12
& op1(e11,e12) = e11
& op1(e11,e11) = e14
& op1(e11,e10) = e10
& op1(e10,e14) = e14
& op1(e10,e13) = e11
& op1(e10,e12) = e10
& op1(e10,e11) = e12
& op1(e10,e10) = e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op2(e24,e24) = e20
& op2(e24,e23) = e24
& op2(e24,e22) = e21
& op2(e24,e21) = e23
& op2(e24,e20) = e22
& op2(e23,e24) = e21
& op2(e23,e23) = e22
& op2(e23,e22) = e24
& op2(e23,e21) = e20
& op2(e23,e20) = e23
& op2(e22,e24) = e22
& op2(e22,e23) = e20
& op2(e22,e22) = e23
& op2(e22,e21) = e24
& op2(e22,e20) = e21
& op2(e21,e24) = e24
& op2(e21,e23) = e23
& op2(e21,e22) = e22
& op2(e21,e21) = e21
& op2(e21,e20) = e20
& op2(e20,e24) = e23
& op2(e20,e23) = e21
& op2(e20,e22) = e20
& op2(e20,e21) = e22
& op2(e20,e20) = e24 ),
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(f10,plain,
e13 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
e10 != e14,
inference(cnf_transformation,[],[f1]) ).
fof(f26,plain,
e20 != e24,
inference(cnf_transformation,[],[f2]) ).
fof(f29,plain,
e20 != e21,
inference(cnf_transformation,[],[f2]) ).
fof(f55,plain,
e11 = op1(e14,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f56,plain,
e13 = op1(e14,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f58,plain,
e10 = op1(e14,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f59,plain,
e12 = op1(e14,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f61,plain,
e10 = op1(e13,e13),
inference(cnf_transformation,[],[f4]) ).
fof(f64,plain,
e14 = op1(e13,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f65,plain,
e10 = op1(e12,e14),
inference(cnf_transformation,[],[f4]) ).
fof(f67,plain,
e12 = op1(e12,e12),
inference(cnf_transformation,[],[f4]) ).
fof(f68,plain,
e13 = op1(e12,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f69,plain,
e11 = op1(e12,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f73,plain,
e14 = op1(e11,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f78,plain,
e12 = op1(e10,e11),
inference(cnf_transformation,[],[f4]) ).
fof(f79,plain,
e13 = op1(e10,e10),
inference(cnf_transformation,[],[f4]) ).
fof(f80,plain,
e20 = op2(e24,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f81,plain,
e24 = op2(e24,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f82,plain,
e21 = op2(e24,e22),
inference(cnf_transformation,[],[f5]) ).
fof(f84,plain,
e22 = op2(e24,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f89,plain,
e23 = op2(e23,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f94,plain,
e21 = op2(e22,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f99,plain,
e20 = op2(e21,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f100,plain,
e23 = op2(e20,e24),
inference(cnf_transformation,[],[f5]) ).
fof(f101,plain,
e21 = op2(e20,e23),
inference(cnf_transformation,[],[f5]) ).
fof(f104,plain,
e24 = op2(e20,e20),
inference(cnf_transformation,[],[f5]) ).
fof(f109,plain,
( e14 = j(e20)
| e13 = j(e20)
| e12 = j(e20)
| e11 = j(e20)
| e10 = j(e20) ),
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(f123,plain,
e21 = h(j(e21)),
inference(cnf_transformation,[],[f9]) ).
fof(f124,plain,
e20 = h(j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f125,plain,
j(op2(e24,e24)) = op1(j(e24),j(e24)),
inference(cnf_transformation,[],[f9]) ).
fof(f126,plain,
j(op2(e24,e23)) = op1(j(e24),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f127,plain,
j(op2(e24,e22)) = op1(j(e24),j(e22)),
inference(cnf_transformation,[],[f9]) ).
fof(f129,plain,
j(op2(e24,e20)) = op1(j(e24),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f134,plain,
j(op2(e23,e20)) = op1(j(e23),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f139,plain,
j(op2(e22,e20)) = op1(j(e22),j(e20)),
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(f146,plain,
j(op2(e20,e23)) = op1(j(e20),j(e23)),
inference(cnf_transformation,[],[f9]) ).
fof(f149,plain,
j(op2(e20,e20)) = op1(j(e20),j(e20)),
inference(cnf_transformation,[],[f9]) ).
fof(f154,plain,
h(op1(e14,e10)) = op2(h(e14),h(e10)),
inference(cnf_transformation,[],[f9]) ).
fof(f162,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[],[f9]) ).
fof(f173,plain,
h(op1(e10,e11)) = op2(h(e10),h(e11)),
inference(cnf_transformation,[],[f9]) ).
tcf(c_52,plain,
e10 != e14,
inference(cnf_transformation,[],[f16]) ).
tcf(c_58,plain,
e13 != e14,
inference(cnf_transformation,[],[f10]) ).
tcf(c_59,plain,
e20 != e21,
inference(cnf_transformation,[],[f29]) ).
tcf(c_62,plain,
e20 != e24,
inference(cnf_transformation,[],[f26]) ).
tcf(c_94,plain,
op1(e10,e10) = e13,
inference(cnf_transformation,[],[f79]) ).
tcf(c_95,plain,
op1(e10,e11) = e12,
inference(cnf_transformation,[],[f78]) ).
tcf(c_100,plain,
op1(e11,e11) = e14,
inference(cnf_transformation,[],[f73]) ).
tcf(c_104,plain,
op1(e12,e10) = e11,
inference(cnf_transformation,[],[f69]) ).
tcf(c_105,plain,
op1(e12,e11) = e13,
inference(cnf_transformation,[],[f68]) ).
tcf(c_106,plain,
op1(e12,e12) = e12,
inference(cnf_transformation,[],[f67]) ).
tcf(c_108,plain,
op1(e12,e14) = e10,
inference(cnf_transformation,[],[f65]) ).
tcf(c_109,plain,
op1(e13,e10) = e14,
inference(cnf_transformation,[],[f64]) ).
tcf(c_112,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[],[f61]) ).
tcf(c_114,plain,
op1(e14,e10) = e12,
inference(cnf_transformation,[],[f59]) ).
tcf(c_115,plain,
op1(e14,e11) = e10,
inference(cnf_transformation,[],[f58]) ).
tcf(c_117,plain,
op1(e14,e13) = e13,
inference(cnf_transformation,[],[f56]) ).
tcf(c_118,plain,
op1(e14,e14) = e11,
inference(cnf_transformation,[],[f55]) ).
tcf(c_119,plain,
op2(e20,e20) = e24,
inference(cnf_transformation,[],[f104]) ).
tcf(c_122,plain,
op2(e20,e23) = e21,
inference(cnf_transformation,[],[f101]) ).
tcf(c_123,plain,
op2(e20,e24) = e23,
inference(cnf_transformation,[],[f100]) ).
tcf(c_124,plain,
op2(e21,e20) = e20,
inference(cnf_transformation,[],[f99]) ).
tcf(c_129,plain,
op2(e22,e20) = e21,
inference(cnf_transformation,[],[f94]) ).
tcf(c_134,plain,
op2(e23,e20) = e23,
inference(cnf_transformation,[],[f89]) ).
tcf(c_139,plain,
op2(e24,e20) = e22,
inference(cnf_transformation,[],[f84]) ).
tcf(c_141,plain,
op2(e24,e22) = e21,
inference(cnf_transformation,[],[f82]) ).
tcf(c_142,plain,
op2(e24,e23) = e24,
inference(cnf_transformation,[],[f81]) ).
tcf(c_143,plain,
op2(e24,e24) = e20,
inference(cnf_transformation,[],[f80]) ).
tcf(c_145,negated_conjecture,
op2(h(e10),h(e11)) = h(op1(e10,e11)),
inference(cnf_transformation,[],[f173]) ).
tcf(c_156,negated_conjecture,
op2(h(e12),h(e12)) = h(op1(e12,e12)),
inference(cnf_transformation,[],[f162]) ).
tcf(c_164,negated_conjecture,
op2(h(e14),h(e10)) = h(op1(e14,e10)),
inference(cnf_transformation,[],[f154]) ).
tcf(c_169,negated_conjecture,
op1(j(e20),j(e20)) = j(op2(e20,e20)),
inference(cnf_transformation,[],[f149]) ).
tcf(c_172,negated_conjecture,
op1(j(e20),j(e23)) = j(op2(e20,e23)),
inference(cnf_transformation,[],[f146]) ).
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_179,negated_conjecture,
op1(j(e22),j(e20)) = j(op2(e22,e20)),
inference(cnf_transformation,[],[f139]) ).
tcf(c_184,negated_conjecture,
op1(j(e23),j(e20)) = j(op2(e23,e20)),
inference(cnf_transformation,[],[f134]) ).
tcf(c_189,negated_conjecture,
op1(j(e24),j(e20)) = j(op2(e24,e20)),
inference(cnf_transformation,[],[f129]) ).
tcf(c_191,negated_conjecture,
op1(j(e24),j(e22)) = j(op2(e24,e22)),
inference(cnf_transformation,[],[f127]) ).
tcf(c_192,negated_conjecture,
op1(j(e24),j(e23)) = j(op2(e24,e23)),
inference(cnf_transformation,[],[f126]) ).
tcf(c_193,negated_conjecture,
op1(j(e24),j(e24)) = j(op2(e24,e24)),
inference(cnf_transformation,[],[f125]) ).
tcf(c_194,negated_conjecture,
h(j(e20)) = e20,
inference(cnf_transformation,[],[f124]) ).
tcf(c_195,negated_conjecture,
h(j(e21)) = e21,
inference(cnf_transformation,[],[f123]) ).
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_209,negated_conjecture,
( ( j(e20) = e14 )
| ( j(e20) = e13 )
| ( j(e20) = e12 )
| ( j(e20) = e11 )
| ( j(e20) = e10 ) ),
inference(cnf_transformation,[],[f109]) ).
tcf(c_624,plain,
op1(j(e24),j(e24)) = j(e20),
inference(light_normalisation,[status(thm)],[c_193,c_143]) ).
tcf(c_625,plain,
op1(j(e24),j(e23)) = j(e24),
inference(light_normalisation,[status(thm)],[c_192,c_142]) ).
tcf(c_626,plain,
op1(j(e24),j(e22)) = j(e21),
inference(light_normalisation,[status(thm)],[c_191,c_141]) ).
tcf(c_628,plain,
op1(j(e24),j(e20)) = j(e22),
inference(light_normalisation,[status(thm)],[c_189,c_139]) ).
tcf(c_633,plain,
op1(j(e23),j(e20)) = j(e23),
inference(light_normalisation,[status(thm)],[c_184,c_134]) ).
tcf(c_638,plain,
op1(j(e22),j(e20)) = j(e21),
inference(light_normalisation,[status(thm)],[c_179,c_129]) ).
tcf(c_643,plain,
op1(j(e21),j(e20)) = j(e20),
inference(light_normalisation,[status(thm)],[c_174,c_124]) ).
tcf(c_644,plain,
op1(j(e20),j(e24)) = j(e23),
inference(light_normalisation,[status(thm)],[c_173,c_123]) ).
tcf(c_645,plain,
op1(j(e20),j(e23)) = j(e21),
inference(light_normalisation,[status(thm)],[c_172,c_122]) ).
tcf(c_648,plain,
op1(j(e20),j(e20)) = j(e24),
inference(light_normalisation,[status(thm)],[c_169,c_119]) ).
tcf(c_653,plain,
op2(h(e14),h(e10)) = h(e12),
inference(light_normalisation,[status(thm)],[c_164,c_114]) ).
tcf(c_661,plain,
op2(h(e12),h(e12)) = h(e12),
inference(light_normalisation,[status(thm)],[c_156,c_106]) ).
tcf(c_672,plain,
op2(h(e10),h(e11)) = h(e12),
inference(light_normalisation,[status(thm)],[c_145,c_95]) ).
tcf(c_778,definition,
iPr_def_13 = h(e11),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_779,definition,
iPr_def_14 = op2(iPr_def_10,iPr_def_13),
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_792,definition,
iPr_def_27 = op2(iPr_def_15,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_800,definition,
iPr_def_35 = op2(iPr_def_18,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_35])],[]) ).
tcf(c_805,definition,
iPr_def_40 = j(e20),
introduced(definition,[new_symbols(definition,[iPr_def_40])],[]) ).
tcf(c_806,definition,
iPr_def_41 = op1(iPr_def_40,iPr_def_40),
introduced(definition,[new_symbols(definition,[iPr_def_41])],[]) ).
tcf(c_807,definition,
iPr_def_42 = j(e24),
introduced(definition,[new_symbols(definition,[iPr_def_42])],[]) ).
tcf(c_812,definition,
iPr_def_47 = j(e23),
introduced(definition,[new_symbols(definition,[iPr_def_47])],[]) ).
tcf(c_813,definition,
iPr_def_48 = op1(iPr_def_40,iPr_def_47),
introduced(definition,[new_symbols(definition,[iPr_def_48])],[]) ).
tcf(c_814,definition,
iPr_def_49 = op1(iPr_def_40,iPr_def_42),
introduced(definition,[new_symbols(definition,[iPr_def_49])],[]) ).
tcf(c_815,definition,
iPr_def_50 = op1(iPr_def_43,iPr_def_40),
introduced(definition,[new_symbols(definition,[iPr_def_50])],[]) ).
tcf(c_820,definition,
iPr_def_55 = op1(iPr_def_45,iPr_def_40),
introduced(definition,[new_symbols(definition,[iPr_def_55])],[]) ).
tcf(c_825,definition,
iPr_def_60 = op1(iPr_def_47,iPr_def_40),
introduced(definition,[new_symbols(definition,[iPr_def_60])],[]) ).
tcf(c_830,definition,
iPr_def_65 = op1(iPr_def_42,iPr_def_40),
introduced(definition,[new_symbols(definition,[iPr_def_65])],[]) ).
tcf(c_832,definition,
iPr_def_67 = op1(iPr_def_42,iPr_def_45),
introduced(definition,[new_symbols(definition,[iPr_def_67])],[]) ).
tcf(c_833,definition,
iPr_def_68 = op1(iPr_def_42,iPr_def_47),
introduced(definition,[new_symbols(definition,[iPr_def_68])],[]) ).
tcf(c_834,definition,
iPr_def_69 = op1(iPr_def_42,iPr_def_42),
introduced(definition,[new_symbols(definition,[iPr_def_69])],[]) ).
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_42),
introduced(definition,[new_symbols(definition,[iPr_def_75])],[]) ).
tcf(c_843,definition,
iPr_def_78 = h(iPr_def_43),
introduced(definition,[new_symbols(definition,[iPr_def_78])],[]) ).
tcf(c_844,definition,
iPr_def_79 = h(iPr_def_40),
introduced(definition,[new_symbols(definition,[iPr_def_79])],[]) ).
tcf(c_846,plain,
iPr_def_14 = iPr_def_15,
inference(demodulation,[status(thm)],[c_672,c_780,c_778,c_779]) ).
tcf(c_857,plain,
iPr_def_27 = iPr_def_15,
inference(demodulation,[status(thm)],[c_661,c_792]) ).
tcf(c_865,plain,
iPr_def_35 = iPr_def_15,
inference(demodulation,[status(thm)],[c_653,c_800]) ).
tcf(c_870,plain,
iPr_def_41 = iPr_def_42,
inference(demodulation,[status(thm)],[c_648,c_807,c_805,c_806]) ).
tcf(c_873,plain,
iPr_def_48 = iPr_def_43,
inference(demodulation,[status(thm)],[c_645,c_812,c_813]) ).
tcf(c_874,plain,
iPr_def_49 = iPr_def_47,
inference(demodulation,[status(thm)],[c_644,c_814]) ).
tcf(c_875,plain,
iPr_def_50 = iPr_def_40,
inference(demodulation,[status(thm)],[c_643,c_815]) ).
tcf(c_880,plain,
iPr_def_55 = iPr_def_43,
inference(demodulation,[status(thm)],[c_638,c_820]) ).
tcf(c_885,plain,
iPr_def_60 = iPr_def_47,
inference(demodulation,[status(thm)],[c_633,c_825]) ).
tcf(c_890,plain,
iPr_def_65 = iPr_def_45,
inference(demodulation,[status(thm)],[c_628,c_830]) ).
tcf(c_892,plain,
iPr_def_67 = iPr_def_43,
inference(demodulation,[status(thm)],[c_626,c_832]) ).
tcf(c_893,plain,
iPr_def_68 = iPr_def_42,
inference(demodulation,[status(thm)],[c_625,c_833]) ).
tcf(c_894,plain,
iPr_def_69 = iPr_def_40,
inference(demodulation,[status(thm)],[c_624,c_834]) ).
tcf(c_899,negated_conjecture,
( ( iPr_def_40 = e14 )
| ( iPr_def_40 = e13 )
| ( iPr_def_40 = e12 )
| ( iPr_def_40 = e11 )
| ( iPr_def_40 = e10 ) ),
inference(demodulation,[status(thm)],[c_209]) ).
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_913,negated_conjecture,
iPr_def_78 = e21,
inference(demodulation,[status(thm)],[c_195,c_843]) ).
tcf(c_914,negated_conjecture,
iPr_def_79 = e20,
inference(demodulation,[status(thm)],[c_194,c_844]) ).
tcf(c_1737,plain,
iPr_def_14 = iPr_def_27,
inference(light_normalisation,[status(thm)],[c_857,c_846]) ).
tcf(c_1915,plain,
iPr_def_14 = iPr_def_35,
inference(light_normalisation,[status(thm)],[c_865,c_846]) ).
tcf(c_1925,plain,
iPr_def_41 = iPr_def_68,
inference(light_normalisation,[status(thm)],[c_893,c_870]) ).
tcf(c_5090,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_1925,c_1915,c_1737,c_914,c_913,c_910,c_909,c_899,c_894,c_893,c_892,c_890,c_885,c_880,c_875,c_874,c_873,c_865,c_844,c_843,c_834,c_832,c_830,c_825,c_820,c_815,c_814,c_813,c_806,c_792,c_780,c_119,c_118,c_117,c_115,c_114,c_112,c_109,c_108,c_105,c_104,c_100,c_94,c_62,c_59,c_58,c_52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG180+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n019.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Fri Sep 25 04:59:34 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 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
% 0.09/0.43
% 0.09/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.43
% 0.09/0.43 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 2.76/1.30 % SZS status Started for theBenchmark.p
% 2.76/1.30 % SZS status Theorem for theBenchmark.p
% 2.76/1.30
% 2.76/1.30 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.76/1.30
% 2.76/1.30 % ------ iProver source info
% 2.76/1.30
% 2.76/1.30 % git: date: 2026-07-19 20:42:38 +0200
% 2.76/1.30 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.76/1.30 % git: non_committed_changes: false
% 2.76/1.30
% 2.76/1.30 % ------ Parsing...
% 2.76/1.30 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.76/1.30
% 2.76/1.30 % ------ Preprocessing... sup_sim: 50 sf_s rm: 0 0s sf_e pe_s pe_e %
% 2.76/1.30
% 2.76/1.30 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.76/1.30
% 2.76/1.30 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 2.76/1.30 % ------ Proving...
% 2.76/1.30 % ------ Problem Properties
% 2.76/1.30
% 2.76/1.30 %
% 2.76/1.30 % clauses 235
% 2.76/1.30 % conjectures 20
% 2.76/1.30 % EPR 115
% 2.76/1.30 % Horn 225
% 2.76/1.30 % unary 225
% 2.76/1.30 % binary 0
% 2.76/1.30 % lits 275
% 2.76/1.30 % lits eq 275
% 2.76/1.30 % fd_pure 0
% 2.76/1.30 % fd_pseudo 0
% 2.76/1.30 % fd_cond 0
% 2.76/1.30 % fd_pseudo_cond 0
% 2.76/1.30 % AC symbols 0
% 2.76/1.30
% 2.76/1.30 % ------ Schedule dynamic 5 is on
% 2.76/1.30
% 2.76/1.30 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.76/1.30
% 2.76/1.30
% 2.76/1.30 % ------
% 2.76/1.30 % Current options:
% 2.76/1.30 % ------
% 2.76/1.30
% 2.76/1.30
% 2.76/1.30 %
% 2.76/1.30
% 2.76/1.30 % ------ Proving...
% 2.76/1.30 %
% 2.76/1.30
% 2.76/1.30 % SZS status Theorem for theBenchmark.p
% 2.76/1.30
% 2.76/1.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.76/1.31
% 2.76/1.31
%------------------------------------------------------------------------------