TSTP Solution File: ALG085+1 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : ALG085+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:15:56 EDT 2024
% Result : Theorem 170.57s 25.26s
% Output : Refutation 170.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 19
% Syntax : Number of formulae : 222 ( 94 unt; 14 typ; 0 def)
% Number of atoms : 831 ( 830 equ; 0 cnn)
% Maximal formula atoms : 110 ( 3 avg)
% Number of connectives : 2891 ( 170 ~; 284 |; 336 &;2098 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 63 ( 4 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 14 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(h_type,type,
h: $i > $i ).
thf(e10_type,type,
e10: $i ).
thf(e20_type,type,
e20: $i ).
thf(e21_type,type,
e21: $i ).
thf(e22_type,type,
e22: $i ).
thf(e23_type,type,
e23: $i ).
thf(e24_type,type,
e24: $i ).
thf(e11_type,type,
e11: $i ).
thf(e12_type,type,
e12: $i ).
thf(e13_type,type,
e13: $i ).
thf(e14_type,type,
e14: $i ).
thf(j_type,type,
j: $i > $i ).
thf(op1_type,type,
op1: $i > $i > $i ).
thf(op2_type,type,
op2: $i > $i > $i ).
thf(1,conjecture,
( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e24 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e24 ) )
& ( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e14 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 )
| ( ( j @ e23 )
= e14 ) )
& ( ( ( j @ e24 )
= e10 )
| ( ( j @ e24 )
= e11 )
| ( ( j @ e24 )
= e12 )
| ( ( j @ e24 )
= e13 )
| ( ( j @ e24 )
= e14 ) ) )
=> ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
& ( ( j @ ( op2 @ e20 @ e20 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e20 @ e21 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e20 @ e22 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e20 @ e23 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e20 @ e24 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e21 @ e20 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e21 @ e22 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e21 @ e23 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e21 @ e24 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e22 @ e20 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e22 @ e21 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e22 @ e23 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e22 @ e24 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e23 @ e20 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e23 @ e21 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e23 @ e22 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e23 @ e23 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e23 @ e24 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e24 @ e20 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e24 @ e21 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e24 @ e22 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e24 @ e23 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e24 @ e24 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( h @ ( j @ e24 ) )
= e24 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 )
& ( ( j @ ( h @ e14 ) )
= e14 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
thf(2,negated_conjecture,
~ ( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e24 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e24 ) )
& ( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e14 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 )
| ( ( j @ e23 )
= e14 ) )
& ( ( ( j @ e24 )
= e10 )
| ( ( j @ e24 )
= e11 )
| ( ( j @ e24 )
= e12 )
| ( ( j @ e24 )
= e13 )
| ( ( j @ e24 )
= e14 ) ) )
=> ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
& ( ( j @ ( op2 @ e20 @ e20 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e20 @ e21 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e20 @ e22 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e20 @ e23 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e20 @ e24 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e21 @ e20 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e21 @ e22 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e21 @ e23 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e21 @ e24 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e22 @ e20 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e22 @ e21 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e22 @ e23 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e22 @ e24 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e23 @ e20 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e23 @ e21 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e23 @ e22 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e23 @ e23 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e23 @ e24 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e24 @ e20 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e24 @ e21 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e24 @ e22 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e24 @ e23 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e24 @ e24 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( h @ ( j @ e24 ) )
= e24 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 )
& ( ( j @ ( h @ e14 ) )
= e14 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ( ( ( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) )
& ( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) )
& ( ( ( h @ e12 )
= e20 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e12 )
= e23 )
| ( ( h @ e12 )
= e24 ) )
& ( ( ( h @ e13 )
= e20 )
| ( ( h @ e13 )
= e21 )
| ( ( h @ e13 )
= e22 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e13 )
= e24 ) )
& ( ( ( h @ e14 )
= e20 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e14 )
= e22 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e14 )
= e24 ) )
& ( ( ( j @ e20 )
= e10 )
| ( ( j @ e20 )
= e11 )
| ( ( j @ e20 )
= e12 )
| ( ( j @ e20 )
= e13 )
| ( ( j @ e20 )
= e14 ) )
& ( ( ( j @ e21 )
= e10 )
| ( ( j @ e21 )
= e11 )
| ( ( j @ e21 )
= e12 )
| ( ( j @ e21 )
= e13 )
| ( ( j @ e21 )
= e14 ) )
& ( ( ( j @ e22 )
= e10 )
| ( ( j @ e22 )
= e11 )
| ( ( j @ e22 )
= e12 )
| ( ( j @ e22 )
= e13 )
| ( ( j @ e22 )
= e14 ) )
& ( ( ( j @ e23 )
= e10 )
| ( ( j @ e23 )
= e11 )
| ( ( j @ e23 )
= e12 )
| ( ( j @ e23 )
= e13 )
| ( ( j @ e23 )
= e14 ) )
& ( ( ( j @ e24 )
= e10 )
| ( ( j @ e24 )
= e11 )
| ( ( j @ e24 )
= e12 )
| ( ( j @ e24 )
= e13 )
| ( ( j @ e24 )
= e14 ) ) )
=> ~ ( ( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e10 @ e11 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e10 @ e12 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e10 @ e13 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e10 @ e14 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e11 @ e10 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e11 @ e12 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e11 @ e13 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e11 @ e14 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e12 @ e10 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e12 @ e11 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e12 @ e13 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e12 @ e14 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e13 @ e10 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e13 @ e11 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e13 @ e12 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e13 @ e14 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e14 ) ) )
& ( ( h @ ( op1 @ e14 @ e10 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e10 ) ) )
& ( ( h @ ( op1 @ e14 @ e11 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e11 ) ) )
& ( ( h @ ( op1 @ e14 @ e12 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e12 ) ) )
& ( ( h @ ( op1 @ e14 @ e13 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e13 ) ) )
& ( ( h @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) )
& ( ( j @ ( op2 @ e20 @ e20 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e20 @ e21 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e20 @ e22 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e20 @ e23 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e20 @ e24 ) )
= ( op1 @ ( j @ e20 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e21 @ e20 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e21 @ e22 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e21 @ e23 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e21 @ e24 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e22 @ e20 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e22 @ e21 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e22 @ e23 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e22 @ e24 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e23 @ e20 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e23 @ e21 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e23 @ e22 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e23 @ e23 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e23 @ e24 ) )
= ( op1 @ ( j @ e23 ) @ ( j @ e24 ) ) )
& ( ( j @ ( op2 @ e24 @ e20 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e20 ) ) )
& ( ( j @ ( op2 @ e24 @ e21 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e21 ) ) )
& ( ( j @ ( op2 @ e24 @ e22 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e22 ) ) )
& ( ( j @ ( op2 @ e24 @ e23 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e23 ) ) )
& ( ( j @ ( op2 @ e24 @ e24 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) )
& ( ( h @ ( j @ e20 ) )
= e20 )
& ( ( h @ ( j @ e21 ) )
= e21 )
& ( ( h @ ( j @ e22 ) )
= e22 )
& ( ( h @ ( j @ e23 ) )
= e23 )
& ( ( h @ ( j @ e24 ) )
= e24 )
& ( ( j @ ( h @ e10 ) )
= e10 )
& ( ( j @ ( h @ e11 ) )
= e11 )
& ( ( j @ ( h @ e12 ) )
= e12 )
& ( ( j @ ( h @ e13 ) )
= e13 )
& ( ( j @ ( h @ e14 ) )
= e14 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(45,plain,
( ( h @ ( op1 @ e12 @ e12 ) )
= ( op2 @ ( h @ e12 ) @ ( h @ e12 ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(110,plain,
( ( op2 @ ( h @ e12 ) @ ( h @ e12 ) )
= ( h @ ( op1 @ e12 @ e12 ) ) ),
inference(lifteq,[status(thm)],[45]) ).
thf(6,axiom,
( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e14 )
= e14 )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e14 )
& ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e14 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e14 )
& ( ( op1 @ e12 @ e14 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e14 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e14 )
= e10 )
& ( ( op1 @ e14 @ e10 )
= e14 )
& ( ( op1 @ e14 @ e11 )
= e13 )
& ( ( op1 @ e14 @ e12 )
= e11 )
& ( ( op1 @ e14 @ e13 )
= e10 )
& ( ( op1 @ e14 @ e14 )
= e12 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
thf(242,plain,
( ( ( op1 @ e10 @ e10 )
= e10 )
& ( ( op1 @ e10 @ e11 )
= e11 )
& ( ( op1 @ e10 @ e12 )
= e12 )
& ( ( op1 @ e10 @ e13 )
= e13 )
& ( ( op1 @ e10 @ e14 )
= e14 )
& ( ( op1 @ e11 @ e10 )
= e11 )
& ( ( op1 @ e11 @ e11 )
= e14 )
& ( ( op1 @ e11 @ e12 )
= e10 )
& ( ( op1 @ e11 @ e13 )
= e12 )
& ( ( op1 @ e11 @ e14 )
= e13 )
& ( ( op1 @ e12 @ e10 )
= e12 )
& ( ( op1 @ e12 @ e11 )
= e10 )
& ( ( op1 @ e12 @ e12 )
= e13 )
& ( ( op1 @ e12 @ e13 )
= e14 )
& ( ( op1 @ e12 @ e14 )
= e11 )
& ( ( op1 @ e13 @ e10 )
= e13 )
& ( ( op1 @ e13 @ e11 )
= e12 )
& ( ( op1 @ e13 @ e12 )
= e14 )
& ( ( op1 @ e13 @ e13 )
= e11 )
& ( ( op1 @ e13 @ e14 )
= e10 )
& ( ( op1 @ e14 @ e10 )
= e14 )
& ( ( op1 @ e14 @ e11 )
= e13 )
& ( ( op1 @ e14 @ e12 )
= e11 )
& ( ( op1 @ e14 @ e13 )
= e10 )
& ( ( op1 @ e14 @ e14 )
= e12 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(251,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(cnf,[status(esa)],[242]) ).
thf(280,plain,
( ( op1 @ e12 @ e12 )
= e13 ),
inference(lifteq,[status(thm)],[251]) ).
thf(7995,plain,
( ( op2 @ ( h @ e12 ) @ ( h @ e12 ) )
= ( h @ e13 ) ),
inference(rewrite,[status(thm)],[110,280]) ).
thf(7,axiom,
( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e24 )
= e24 )
& ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e24 )
& ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e24 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e24 )
& ( ( op2 @ e22 @ e24 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= e24 )
& ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e24 )
= e22 )
& ( ( op2 @ e24 @ e20 )
= e24 )
& ( ( op2 @ e24 @ e21 )
= e23 )
& ( ( op2 @ e24 @ e22 )
= e21 )
& ( ( op2 @ e24 @ e23 )
= e22 )
& ( ( op2 @ e24 @ e24 )
= e20 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
thf(293,plain,
( ( ( op2 @ e20 @ e20 )
= e20 )
& ( ( op2 @ e20 @ e21 )
= e21 )
& ( ( op2 @ e20 @ e22 )
= e22 )
& ( ( op2 @ e20 @ e23 )
= e23 )
& ( ( op2 @ e20 @ e24 )
= e24 )
& ( ( op2 @ e21 @ e20 )
= e21 )
& ( ( op2 @ e21 @ e21 )
= e22 )
& ( ( op2 @ e21 @ e22 )
= e24 )
& ( ( op2 @ e21 @ e23 )
= e20 )
& ( ( op2 @ e21 @ e24 )
= e23 )
& ( ( op2 @ e22 @ e20 )
= e22 )
& ( ( op2 @ e22 @ e21 )
= e20 )
& ( ( op2 @ e22 @ e22 )
= e23 )
& ( ( op2 @ e22 @ e23 )
= e24 )
& ( ( op2 @ e22 @ e24 )
= e21 )
& ( ( op2 @ e23 @ e20 )
= e23 )
& ( ( op2 @ e23 @ e21 )
= e24 )
& ( ( op2 @ e23 @ e22 )
= e20 )
& ( ( op2 @ e23 @ e23 )
= e21 )
& ( ( op2 @ e23 @ e24 )
= e22 )
& ( ( op2 @ e24 @ e20 )
= e24 )
& ( ( op2 @ e24 @ e21 )
= e23 )
& ( ( op2 @ e24 @ e22 )
= e21 )
& ( ( op2 @ e24 @ e23 )
= e22 )
& ( ( op2 @ e24 @ e24 )
= e20 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(307,plain,
( ( op2 @ e23 @ e23 )
= e21 ),
inference(cnf,[status(esa)],[293]) ).
thf(323,plain,
( ( op2 @ e23 @ e23 )
= e21 ),
inference(lifteq,[status(thm)],[307]) ).
thf(8030,plain,
( ( ( h @ e13 )
= e21 )
| ( ( op2 @ ( h @ e12 ) @ ( h @ e12 ) )
!= ( op2 @ e23 @ e23 ) ) ),
inference(paramod_ordered,[status(thm)],[7995,323]) ).
thf(8089,plain,
( ( ( h @ e13 )
= e21 )
| ( ( h @ e12 )
!= e23 )
| ( ( h @ e12 )
!= e23 ) ),
inference(simp,[status(thm)],[8030]) ).
thf(8171,plain,
( ( ( h @ e13 )
= e21 )
| ( ( h @ e12 )
!= e23 ) ),
inference(simp,[status(thm)],[8089]) ).
thf(13,plain,
( ( j @ ( h @ e13 ) )
= e13 ),
inference(cnf,[status(esa)],[8]) ).
thf(108,plain,
( ( j @ ( h @ e13 ) )
= e13 ),
inference(lifteq,[status(thm)],[13]) ).
thf(9,plain,
( ( j @ ( h @ e11 ) )
= e11 ),
inference(cnf,[status(esa)],[8]) ).
thf(106,plain,
( ( j @ ( h @ e11 ) )
= e11 ),
inference(lifteq,[status(thm)],[9]) ).
thf(376,plain,
( ( e13 = e11 )
| ( ( j @ ( h @ e13 ) )
!= ( j @ ( h @ e11 ) ) ) ),
inference(paramod_ordered,[status(thm)],[108,106]) ).
thf(382,plain,
( ( e13 = e11 )
| ( ( h @ e13 )
!= ( h @ e11 ) ) ),
inference(simp,[status(thm)],[376]) ).
thf(3,axiom,
( ( e10 != e11 )
& ( e10 != e12 )
& ( e10 != e13 )
& ( e10 != e14 )
& ( e11 != e12 )
& ( e11 != e13 )
& ( e11 != e14 )
& ( e12 != e13 )
& ( e12 != e14 )
& ( e13 != e14 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
thf(149,plain,
( ( e10 != e11 )
& ( e10 != e12 )
& ( e10 != e13 )
& ( e10 != e14 )
& ( e11 != e12 )
& ( e11 != e13 )
& ( e11 != e14 )
& ( e12 != e13 )
& ( e12 != e14 )
& ( e13 != e14 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(157,plain,
e11 != e13,
inference(cnf,[status(esa)],[149]) ).
thf(161,plain,
e13 != e11,
inference(lifteq,[status(thm)],[157]) ).
thf(933,plain,
( ( h @ e13 )
!= ( h @ e11 ) ),
inference(simplifyReflect,[status(thm)],[382,161]) ).
thf(51,plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) ),
inference(cnf,[status(esa)],[8]) ).
thf(143,plain,
( ( ( h @ e11 )
= e20 )
| ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) ),
inference(lifteq,[status(thm)],[51]) ).
thf(317,plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference(cnf,[status(esa)],[293]) ).
thf(324,plain,
( ( op2 @ e20 @ e20 )
= e20 ),
inference(lifteq,[status(thm)],[317]) ).
thf(28,plain,
( ( h @ ( op1 @ e11 @ e11 ) )
= ( op2 @ ( h @ e11 ) @ ( h @ e11 ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(104,plain,
( ( op2 @ ( h @ e11 ) @ ( h @ e11 ) )
= ( h @ ( op1 @ e11 @ e11 ) ) ),
inference(lifteq,[status(thm)],[28]) ).
thf(267,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(cnf,[status(esa)],[242]) ).
thf(281,plain,
( ( op1 @ e11 @ e11 )
= e14 ),
inference(lifteq,[status(thm)],[267]) ).
thf(7216,plain,
( ( op2 @ ( h @ e11 ) @ ( h @ e11 ) )
= ( h @ e14 ) ),
inference(rewrite,[status(thm)],[104,281]) ).
thf(7240,plain,
( ( ( h @ e14 )
= e20 )
| ( ( op2 @ ( h @ e11 ) @ ( h @ e11 ) )
!= ( op2 @ e20 @ e20 ) ) ),
inference(paramod_ordered,[status(thm)],[324,7216]) ).
thf(7311,plain,
( ( ( h @ e14 )
= e20 )
| ( ( h @ e11 )
!= e20 )
| ( ( h @ e11 )
!= e20 ) ),
inference(simp,[status(thm)],[7240]) ).
thf(7385,plain,
( ( ( h @ e14 )
= e20 )
| ( ( h @ e11 )
!= e20 ) ),
inference(simp,[status(thm)],[7311]) ).
thf(62,plain,
( ( j @ ( h @ e14 ) )
= e14 ),
inference(cnf,[status(esa)],[8]) ).
thf(148,plain,
( ( j @ ( h @ e14 ) )
= e14 ),
inference(lifteq,[status(thm)],[62]) ).
thf(566,plain,
( ( e14 = e11 )
| ( ( j @ ( h @ e14 ) )
!= ( j @ ( h @ e11 ) ) ) ),
inference(paramod_ordered,[status(thm)],[148,106]) ).
thf(583,plain,
( ( e14 = e11 )
| ( ( h @ e14 )
!= ( h @ e11 ) ) ),
inference(simp,[status(thm)],[566]) ).
thf(150,plain,
e11 != e14,
inference(cnf,[status(esa)],[149]) ).
thf(166,plain,
e14 != e11,
inference(lifteq,[status(thm)],[150]) ).
thf(9170,plain,
( ( h @ e14 )
!= ( h @ e11 ) ),
inference(simplifyReflect,[status(thm)],[583,166]) ).
thf(62543,plain,
( ( ( h @ e11 )
!= e20 )
| ( ( h @ e14 )
!= ( h @ e14 ) ) ),
inference(paramod_ordered,[status(thm)],[7385,9170]) ).
thf(62544,plain,
( ( h @ e11 )
!= e20 ),
inference(pattern_uni,[status(thm)],[62543:[]]) ).
thf(63318,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 )
| ( ( h @ e11 )
= e24 ) ),
inference(simplifyReflect,[status(thm)],[143,62544]) ).
thf(303,plain,
( ( op2 @ e24 @ e24 )
= e20 ),
inference(cnf,[status(esa)],[293]) ).
thf(335,plain,
( ( op2 @ e24 @ e24 )
= e20 ),
inference(lifteq,[status(thm)],[303]) ).
thf(7249,plain,
( ( ( h @ e14 )
= e20 )
| ( ( op2 @ ( h @ e11 ) @ ( h @ e11 ) )
!= ( op2 @ e24 @ e24 ) ) ),
inference(paramod_ordered,[status(thm)],[7216,335]) ).
thf(7334,plain,
( ( ( h @ e14 )
= e20 )
| ( ( h @ e11 )
!= e24 )
| ( ( h @ e11 )
!= e24 ) ),
inference(simp,[status(thm)],[7249]) ).
thf(7390,plain,
( ( ( h @ e14 )
= e20 )
| ( ( h @ e11 )
!= e24 ) ),
inference(simp,[status(thm)],[7334]) ).
thf(24,plain,
( ( j @ ( h @ e10 ) )
= e10 ),
inference(cnf,[status(esa)],[8]) ).
thf(89,plain,
( ( j @ ( h @ e10 ) )
= e10 ),
inference(lifteq,[status(thm)],[24]) ).
thf(570,plain,
( ( e14 = e10 )
| ( ( j @ ( h @ e14 ) )
!= ( j @ ( h @ e10 ) ) ) ),
inference(paramod_ordered,[status(thm)],[148,89]) ).
thf(581,plain,
( ( e14 = e10 )
| ( ( h @ e14 )
!= ( h @ e10 ) ) ),
inference(simp,[status(thm)],[570]) ).
thf(159,plain,
e10 != e14,
inference(cnf,[status(esa)],[149]) ).
thf(164,plain,
e14 != e10,
inference(lifteq,[status(thm)],[159]) ).
thf(7977,plain,
( ( h @ e14 )
!= ( h @ e10 ) ),
inference(simplifyReflect,[status(thm)],[581,164]) ).
thf(76,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) ),
inference(cnf,[status(esa)],[8]) ).
thf(123,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( h @ e10 )
= e24 ) ),
inference(lifteq,[status(thm)],[76]) ).
thf(10401,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( j @ e24 )
= e10 )
| ( ( h @ e10 )
!= ( h @ e10 ) ) ),
inference(paramod_ordered,[status(thm)],[123,89]) ).
thf(10402,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( j @ e24 )
= e10 ) ),
inference(pattern_uni,[status(thm)],[10401:[]]) ).
thf(262,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference(cnf,[status(esa)],[242]) ).
thf(287,plain,
( ( op1 @ e10 @ e10 )
= e10 ),
inference(lifteq,[status(thm)],[262]) ).
thf(29,plain,
( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(98,plain,
( ( j @ ( op2 @ e21 @ e21 ) )
= ( op1 @ ( j @ e21 ) @ ( j @ e21 ) ) ),
inference(lifteq,[status(thm)],[29]) ).
thf(308,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(cnf,[status(esa)],[293]) ).
thf(319,plain,
( ( op2 @ e21 @ e21 )
= e22 ),
inference(lifteq,[status(thm)],[308]) ).
thf(5070,plain,
( ( op1 @ ( j @ e21 ) @ ( j @ e21 ) )
= ( j @ e22 ) ),
inference(rewrite,[status(thm)],[98,319]) ).
thf(5126,plain,
( ( ( j @ e22 )
= e10 )
| ( ( op1 @ ( j @ e21 ) @ ( j @ e21 ) )
!= ( op1 @ e10 @ e10 ) ) ),
inference(paramod_ordered,[status(thm)],[287,5070]) ).
thf(5175,plain,
( ( ( j @ e22 )
= e10 )
| ( ( j @ e21 )
!= e10 )
| ( ( j @ e21 )
!= e10 ) ),
inference(simp,[status(thm)],[5126]) ).
thf(5218,plain,
( ( ( j @ e22 )
= e10 )
| ( ( j @ e21 )
!= e10 ) ),
inference(simp,[status(thm)],[5175]) ).
thf(52,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(cnf,[status(esa)],[8]) ).
thf(92,plain,
( ( h @ ( j @ e21 ) )
= e21 ),
inference(lifteq,[status(thm)],[52]) ).
thf(34,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(cnf,[status(esa)],[8]) ).
thf(114,plain,
( ( h @ ( j @ e22 ) )
= e22 ),
inference(lifteq,[status(thm)],[34]) ).
thf(391,plain,
( ( e22 = e21 )
| ( ( h @ ( j @ e22 ) )
!= ( h @ ( j @ e21 ) ) ) ),
inference(paramod_ordered,[status(thm)],[92,114]) ).
thf(405,plain,
( ( e22 = e21 )
| ( ( j @ e22 )
!= ( j @ e21 ) ) ),
inference(simp,[status(thm)],[391]) ).
thf(4,axiom,
( ( e20 != e21 )
& ( e20 != e22 )
& ( e20 != e23 )
& ( e20 != e24 )
& ( e21 != e22 )
& ( e21 != e23 )
& ( e21 != e24 )
& ( e22 != e23 )
& ( e22 != e24 )
& ( e23 != e24 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
thf(170,plain,
( ( e20 != e21 )
& ( e20 != e22 )
& ( e20 != e23 )
& ( e20 != e24 )
& ( e21 != e22 )
& ( e21 != e23 )
& ( e21 != e24 )
& ( e22 != e23 )
& ( e22 != e24 )
& ( e23 != e24 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(179,plain,
e21 != e22,
inference(cnf,[status(esa)],[170]) ).
thf(182,plain,
e22 != e21,
inference(lifteq,[status(thm)],[179]) ).
thf(1570,plain,
( ( j @ e22 )
!= ( j @ e21 ) ),
inference(simplifyReflect,[status(thm)],[405,182]) ).
thf(49721,plain,
( ( ( j @ e21 )
!= e10 )
| ( ( j @ e22 )
!= ( j @ e22 ) ) ),
inference(paramod_ordered,[status(thm)],[5218,1570]) ).
thf(49722,plain,
( ( j @ e21 )
!= e10 ),
inference(pattern_uni,[status(thm)],[49721:[]]) ).
thf(50247,plain,
( ( j @ ( h @ e10 ) )
!= ( j @ e21 ) ),
inference(paramod_ordered,[status(thm)],[89,49722]) ).
thf(50305,plain,
( ( h @ e10 )
!= e21 ),
inference(simp,[status(thm)],[50247]) ).
thf(50768,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e22 )
| ( ( h @ e10 )
= e23 )
| ( ( j @ e24 )
= e10 ) ),
inference(simplifyReflect,[status(thm)],[10402,50305]) ).
thf(21,plain,
( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(102,plain,
( ( j @ ( op2 @ e22 @ e22 ) )
= ( op1 @ ( j @ e22 ) @ ( j @ e22 ) ) ),
inference(lifteq,[status(thm)],[21]) ).
thf(299,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(cnf,[status(esa)],[293]) ).
thf(337,plain,
( ( op2 @ e22 @ e22 )
= e23 ),
inference(lifteq,[status(thm)],[299]) ).
thf(6872,plain,
( ( op1 @ ( j @ e22 ) @ ( j @ e22 ) )
= ( j @ e23 ) ),
inference(rewrite,[status(thm)],[102,337]) ).
thf(6936,plain,
( ( ( j @ e23 )
= e10 )
| ( ( op1 @ ( j @ e22 ) @ ( j @ e22 ) )
!= ( op1 @ e10 @ e10 ) ) ),
inference(paramod_ordered,[status(thm)],[287,6872]) ).
thf(6972,plain,
( ( ( j @ e23 )
= e10 )
| ( ( j @ e22 )
!= e10 )
| ( ( j @ e22 )
!= e10 ) ),
inference(simp,[status(thm)],[6936]) ).
thf(7033,plain,
( ( ( j @ e23 )
= e10 )
| ( ( j @ e22 )
!= e10 ) ),
inference(simp,[status(thm)],[6972]) ).
thf(40,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(cnf,[status(esa)],[8]) ).
thf(135,plain,
( ( h @ ( j @ e23 ) )
= e23 ),
inference(lifteq,[status(thm)],[40]) ).
thf(440,plain,
( ( e23 = e22 )
| ( ( h @ ( j @ e23 ) )
!= ( h @ ( j @ e22 ) ) ) ),
inference(paramod_ordered,[status(thm)],[135,114]) ).
thf(442,plain,
( ( e23 = e22 )
| ( ( j @ e23 )
!= ( j @ e22 ) ) ),
inference(simp,[status(thm)],[440]) ).
thf(176,plain,
e22 != e23,
inference(cnf,[status(esa)],[170]) ).
thf(185,plain,
e23 != e22,
inference(lifteq,[status(thm)],[176]) ).
thf(2060,plain,
( ( j @ e23 )
!= ( j @ e22 ) ),
inference(simplifyReflect,[status(thm)],[442,185]) ).
thf(58249,plain,
( ( ( j @ e22 )
!= e10 )
| ( ( j @ e23 )
!= ( j @ e23 ) ) ),
inference(paramod_ordered,[status(thm)],[7033,2060]) ).
thf(58250,plain,
( ( j @ e22 )
!= e10 ),
inference(pattern_uni,[status(thm)],[58249:[]]) ).
thf(58638,plain,
( ( j @ ( h @ e10 ) )
!= ( j @ e22 ) ),
inference(paramod_ordered,[status(thm)],[89,58250]) ).
thf(58688,plain,
( ( h @ e10 )
!= e22 ),
inference(simp,[status(thm)],[58638]) ).
thf(58705,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e23 )
| ( ( j @ e24 )
= e10 ) ),
inference(simplifyReflect,[status(thm)],[50768,58688]) ).
thf(41,plain,
( ( j @ ( op2 @ e24 @ e24 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(109,plain,
( ( j @ ( op2 @ e24 @ e24 ) )
= ( op1 @ ( j @ e24 ) @ ( j @ e24 ) ) ),
inference(lifteq,[status(thm)],[41]) ).
thf(7782,plain,
( ( op1 @ ( j @ e24 ) @ ( j @ e24 ) )
= ( j @ e20 ) ),
inference(rewrite,[status(thm)],[109,335]) ).
thf(7848,plain,
( ( ( j @ e20 )
= e10 )
| ( ( op1 @ ( j @ e24 ) @ ( j @ e24 ) )
!= ( op1 @ e10 @ e10 ) ) ),
inference(paramod_ordered,[status(thm)],[287,7782]) ).
thf(7939,plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e24 )
!= e10 )
| ( ( j @ e24 )
!= e10 ) ),
inference(simp,[status(thm)],[7848]) ).
thf(7945,plain,
( ( ( j @ e20 )
= e10 )
| ( ( j @ e24 )
!= e10 ) ),
inference(simp,[status(thm)],[7939]) ).
thf(72537,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e23 )
| ( ( j @ e20 )
= e10 )
| ( ( j @ e24 )
!= ( j @ e24 ) ) ),
inference(paramod_ordered,[status(thm)],[58705,7945]) ).
thf(72538,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e23 )
| ( ( j @ e20 )
= e10 ) ),
inference(pattern_uni,[status(thm)],[72537:[]]) ).
thf(75,plain,
( ( h @ ( j @ e20 ) )
= e20 ),
inference(cnf,[status(esa)],[8]) ).
thf(139,plain,
( ( h @ ( j @ e20 ) )
= e20 ),
inference(lifteq,[status(thm)],[75]) ).
thf(73575,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e23 )
| ( ( j @ e20 )
!= ( j @ e20 ) ) ),
inference(paramod_ordered,[status(thm)],[72538,139]) ).
thf(73576,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e23 ) ),
inference(pattern_uni,[status(thm)],[73575:[]]) ).
thf(48,plain,
( ( h @ ( op1 @ e10 @ e10 ) )
= ( op2 @ ( h @ e10 ) @ ( h @ e10 ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(125,plain,
( ( op2 @ ( h @ e10 ) @ ( h @ e10 ) )
= ( h @ ( op1 @ e10 @ e10 ) ) ),
inference(lifteq,[status(thm)],[48]) ).
thf(10730,plain,
( ( op2 @ ( h @ e10 ) @ ( h @ e10 ) )
= ( h @ e10 ) ),
inference(rewrite,[status(thm)],[125,287]) ).
thf(74066,plain,
( ( ( h @ e10 )
= e20 )
| ( ( op2 @ e23 @ ( h @ e10 ) )
= ( h @ e10 ) )
| ( ( h @ e10 )
!= ( h @ e10 ) ) ),
inference(paramod_ordered,[status(thm)],[73576,10730]) ).
thf(74067,plain,
( ( ( h @ e10 )
= e20 )
| ( ( op2 @ e23 @ ( h @ e10 ) )
= ( h @ e10 ) ) ),
inference(pattern_uni,[status(thm)],[74066:[]]) ).
thf(75353,plain,
( ( ( h @ e10 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= ( h @ e10 ) )
| ( ( h @ e10 )
!= ( h @ e10 ) ) ),
inference(paramod_ordered,[status(thm)],[73576,74067]) ).
thf(75354,plain,
( ( ( h @ e10 )
= e20 )
| ( ( op2 @ e23 @ e23 )
= ( h @ e10 ) ) ),
inference(pattern_uni,[status(thm)],[75353:[]]) ).
thf(75891,plain,
( ( ( h @ e10 )
= e20 )
| ( ( h @ e10 )
= e21 ) ),
inference(rewrite,[status(thm)],[75354,323]) ).
thf(75892,plain,
( ( h @ e10 )
= e20 ),
inference(simplifyReflect,[status(thm)],[75891,50305]) ).
thf(75923,plain,
( ( h @ e14 )
!= e20 ),
inference(rewrite,[status(thm)],[7977,75892]) ).
thf(76739,plain,
( ( h @ e11 )
!= e24 ),
inference(simplifyReflect,[status(thm)],[7390,75923]) ).
thf(96304,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e11 )
= e23 ) ),
inference(simplifyReflect,[status(thm)],[63318,76739]) ).
thf(7251,plain,
( ( ( h @ e14 )
= e21 )
| ( ( op2 @ ( h @ e11 ) @ ( h @ e11 ) )
!= ( op2 @ e23 @ e23 ) ) ),
inference(paramod_ordered,[status(thm)],[7216,323]) ).
thf(7360,plain,
( ( ( h @ e14 )
= e21 )
| ( ( h @ e11 )
!= e23 )
| ( ( h @ e11 )
!= e23 ) ),
inference(simp,[status(thm)],[7251]) ).
thf(7397,plain,
( ( ( h @ e14 )
= e21 )
| ( ( h @ e11 )
!= e23 ) ),
inference(simp,[status(thm)],[7360]) ).
thf(96405,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e14 )
= e21 )
| ( ( h @ e11 )
!= ( h @ e11 ) ) ),
inference(paramod_ordered,[status(thm)],[96304,7397]) ).
thf(96406,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e14 )
= e21 ) ),
inference(pattern_uni,[status(thm)],[96405:[]]) ).
thf(25,plain,
( ( h @ ( op1 @ e14 @ e14 ) )
= ( op2 @ ( h @ e14 ) @ ( h @ e14 ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(91,plain,
( ( op2 @ ( h @ e14 ) @ ( h @ e14 ) )
= ( h @ ( op1 @ e14 @ e14 ) ) ),
inference(lifteq,[status(thm)],[25]) ).
thf(247,plain,
( ( op1 @ e14 @ e14 )
= e12 ),
inference(cnf,[status(esa)],[242]) ).
thf(269,plain,
( ( op1 @ e14 @ e14 )
= e12 ),
inference(lifteq,[status(thm)],[247]) ).
thf(2096,plain,
( ( op2 @ ( h @ e14 ) @ ( h @ e14 ) )
= ( h @ e12 ) ),
inference(rewrite,[status(thm)],[91,269]) ).
thf(2863,plain,
( ( ( h @ e12 )
= e22 )
| ( ( op2 @ ( h @ e14 ) @ ( h @ e14 ) )
!= ( op2 @ e21 @ e21 ) ) ),
inference(paramod_ordered,[status(thm)],[319,2096]) ).
thf(2867,plain,
( ( ( h @ e12 )
= e22 )
| ( ( h @ e14 )
!= e21 )
| ( ( h @ e14 )
!= e21 ) ),
inference(simp,[status(thm)],[2863]) ).
thf(2869,plain,
( ( ( h @ e12 )
= e22 )
| ( ( h @ e14 )
!= e21 ) ),
inference(simp,[status(thm)],[2867]) ).
thf(97255,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e12 )
= e22 )
| ( ( h @ e14 )
!= ( h @ e14 ) ) ),
inference(paramod_ordered,[status(thm)],[96406,2869]) ).
thf(97256,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e12 )
= e22 ) ),
inference(pattern_uni,[status(thm)],[97255:[]]) ).
thf(8085,plain,
( ( ( h @ e13 )
= e23 )
| ( ( op2 @ ( h @ e12 ) @ ( h @ e12 ) )
!= ( op2 @ e22 @ e22 ) ) ),
inference(paramod_ordered,[status(thm)],[337,7995]) ).
thf(8116,plain,
( ( ( h @ e13 )
= e23 )
| ( ( h @ e12 )
!= e22 )
| ( ( h @ e12 )
!= e22 ) ),
inference(simp,[status(thm)],[8085]) ).
thf(8180,plain,
( ( ( h @ e13 )
= e23 )
| ( ( h @ e12 )
!= e22 ) ),
inference(simp,[status(thm)],[8116]) ).
thf(98364,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e13 )
= e23 )
| ( ( h @ e12 )
!= ( h @ e12 ) ) ),
inference(paramod_ordered,[status(thm)],[97256,8180]) ).
thf(98365,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e13 )
= e23 ) ),
inference(pattern_uni,[status(thm)],[98364:[]]) ).
thf(44,plain,
( ( h @ ( op1 @ e13 @ e13 ) )
= ( op2 @ ( h @ e13 ) @ ( h @ e13 ) ) ),
inference(cnf,[status(esa)],[8]) ).
thf(116,plain,
( ( op2 @ ( h @ e13 ) @ ( h @ e13 ) )
= ( h @ ( op1 @ e13 @ e13 ) ) ),
inference(lifteq,[status(thm)],[44]) ).
thf(255,plain,
( ( op1 @ e13 @ e13 )
= e11 ),
inference(cnf,[status(esa)],[242]) ).
thf(282,plain,
( ( op1 @ e13 @ e13 )
= e11 ),
inference(lifteq,[status(thm)],[255]) ).
thf(8949,plain,
( ( op2 @ ( h @ e13 ) @ ( h @ e13 ) )
= ( h @ e11 ) ),
inference(rewrite,[status(thm)],[116,282]) ).
thf(8986,plain,
( ( ( h @ e11 )
= e21 )
| ( ( op2 @ ( h @ e13 ) @ ( h @ e13 ) )
!= ( op2 @ e23 @ e23 ) ) ),
inference(paramod_ordered,[status(thm)],[8949,323]) ).
thf(9095,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e13 )
!= e23 )
| ( ( h @ e13 )
!= e23 ) ),
inference(simp,[status(thm)],[8986]) ).
thf(9132,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e13 )
!= e23 ) ),
inference(simp,[status(thm)],[9095]) ).
thf(102585,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 )
| ( ( h @ e13 )
!= ( h @ e13 ) ) ),
inference(paramod_ordered,[status(thm)],[98365,9132]) ).
thf(102586,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e11 )
= e22 ) ),
inference(pattern_uni,[status(thm)],[102585:[]]) ).
thf(7300,plain,
( ( ( h @ e14 )
= e23 )
| ( ( op2 @ ( h @ e11 ) @ ( h @ e11 ) )
!= ( op2 @ e22 @ e22 ) ) ),
inference(paramod_ordered,[status(thm)],[337,7216]) ).
thf(7323,plain,
( ( ( h @ e14 )
= e23 )
| ( ( h @ e11 )
!= e22 )
| ( ( h @ e11 )
!= e22 ) ),
inference(simp,[status(thm)],[7300]) ).
thf(7388,plain,
( ( ( h @ e14 )
= e23 )
| ( ( h @ e11 )
!= e22 ) ),
inference(simp,[status(thm)],[7323]) ).
thf(103111,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e14 )
= e23 )
| ( ( h @ e11 )
!= ( h @ e11 ) ) ),
inference(paramod_ordered,[status(thm)],[102586,7388]) ).
thf(103112,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e14 )
= e23 ) ),
inference(pattern_uni,[status(thm)],[103111:[]]) ).
thf(2959,plain,
( ( ( h @ e12 )
= e21 )
| ( ( op2 @ ( h @ e14 ) @ ( h @ e14 ) )
!= ( op2 @ e23 @ e23 ) ) ),
inference(paramod_ordered,[status(thm)],[323,2096]) ).
thf(2971,plain,
( ( ( h @ e12 )
= e21 )
| ( ( h @ e14 )
!= e23 )
| ( ( h @ e14 )
!= e23 ) ),
inference(simp,[status(thm)],[2959]) ).
thf(2982,plain,
( ( ( h @ e12 )
= e21 )
| ( ( h @ e14 )
!= e23 ) ),
inference(simp,[status(thm)],[2971]) ).
thf(104032,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e12 )
= e21 )
| ( ( h @ e14 )
!= ( h @ e14 ) ) ),
inference(paramod_ordered,[status(thm)],[103112,2982]) ).
thf(104033,plain,
( ( ( h @ e11 )
= e21 )
| ( ( h @ e12 )
= e21 ) ),
inference(pattern_uni,[status(thm)],[104032:[]]) ).
thf(60,plain,
( ( j @ ( h @ e12 ) )
= e12 ),
inference(cnf,[status(esa)],[8]) ).
thf(80,plain,
( ( j @ ( h @ e12 ) )
= e12 ),
inference(lifteq,[status(thm)],[60]) ).
thf(5085,plain,
( ( ( j @ e22 )
= e13 )
| ( ( op1 @ ( j @ e21 ) @ ( j @ e21 ) )
!= ( op1 @ e12 @ e12 ) ) ),
inference(paramod_ordered,[status(thm)],[5070,280]) ).
thf(5166,plain,
( ( ( j @ e22 )
= e13 )
| ( ( j @ e21 )
!= e12 )
| ( ( j @ e21 )
!= e12 ) ),
inference(simp,[status(thm)],[5085]) ).
thf(5216,plain,
( ( ( j @ e22 )
= e13 )
| ( ( j @ e21 )
!= e12 ) ),
inference(simp,[status(thm)],[5166]) ).
thf(48251,plain,
( ( ( j @ e22 )
= e13 )
| ( ( j @ ( h @ e12 ) )
!= ( j @ e21 ) ) ),
inference(paramod_ordered,[status(thm)],[80,5216]) ).
thf(48527,plain,
( ( ( j @ e22 )
= e13 )
| ( ( h @ e12 )
!= e21 ) ),
inference(simp,[status(thm)],[48251]) ).
thf(106711,plain,
( ( ( h @ e11 )
= e21 )
| ( ( j @ e22 )
= e13 )
| ( ( h @ e12 )
!= ( h @ e12 ) ) ),
inference(paramod_ordered,[status(thm)],[104033,48527]) ).
thf(106712,plain,
( ( ( h @ e11 )
= e21 )
| ( ( j @ e22 )
= e13 ) ),
inference(pattern_uni,[status(thm)],[106711:[]]) ).
thf(102967,plain,
( ( ( h @ e11 )
= e21 )
| ( ( j @ e22 )
= e11 )
| ( ( h @ e11 )
!= ( h @ e11 ) ) ),
inference(paramod_ordered,[status(thm)],[102586,106]) ).
thf(102968,plain,
( ( ( h @ e11 )
= e21 )
| ( ( j @ e22 )
= e11 ) ),
inference(pattern_uni,[status(thm)],[102967:[]]) ).
thf(111923,plain,
( ( ( h @ e11 )
= e21 )
| ( e13 = e11 )
| ( ( j @ e22 )
!= ( j @ e22 ) ) ),
inference(paramod_ordered,[status(thm)],[106712,102968]) ).
thf(111924,plain,
( ( ( h @ e11 )
= e21 )
| ( e13 = e11 ) ),
inference(pattern_uni,[status(thm)],[111923:[]]) ).
thf(112377,plain,
( ( h @ e11 )
= e21 ),
inference(simplifyReflect,[status(thm)],[111924,161]) ).
thf(112408,plain,
( ( h @ e13 )
!= e21 ),
inference(rewrite,[status(thm)],[933,112377]) ).
thf(113300,plain,
( ( h @ e12 )
!= e23 ),
inference(simplifyReflect,[status(thm)],[8171,112408]) ).
thf(4103,plain,
( ( ( h @ e12 )
= e23 )
| ( ( op2 @ ( h @ e14 ) @ ( h @ e14 ) )
!= ( op2 @ e22 @ e22 ) ) ),
inference(paramod_ordered,[status(thm)],[337,2096]) ).
thf(4126,plain,
( ( ( h @ e12 )
= e23 )
| ( ( h @ e14 )
!= e22 )
| ( ( h @ e14 )
!= e22 ) ),
inference(simp,[status(thm)],[4103]) ).
thf(4158,plain,
( ( ( h @ e12 )
= e23 )
| ( ( h @ e14 )
!= e22 ) ),
inference(simp,[status(thm)],[4126]) ).
thf(36656,plain,
( ( ( h @ e12 )
= e23 )
| ( ( h @ ( j @ e22 ) )
!= ( h @ e14 ) ) ),
inference(paramod_ordered,[status(thm)],[114,4158]) ).
thf(36662,plain,
( ( ( h @ e12 )
= e23 )
| ( ( j @ e22 )
!= e14 ) ),
inference(simp,[status(thm)],[36656]) ).
thf(5108,plain,
( ( ( j @ e22 )
= e14 )
| ( ( op1 @ ( j @ e21 ) @ ( j @ e21 ) )
!= ( op1 @ e11 @ e11 ) ) ),
inference(paramod_ordered,[status(thm)],[281,5070]) ).
thf(5154,plain,
( ( ( j @ e22 )
= e14 )
| ( ( j @ e21 )
!= e11 )
| ( ( j @ e21 )
!= e11 ) ),
inference(simp,[status(thm)],[5108]) ).
thf(5214,plain,
( ( ( j @ e22 )
= e14 )
| ( ( j @ e21 )
!= e11 ) ),
inference(simp,[status(thm)],[5154]) ).
thf(46974,plain,
( ( ( j @ e22 )
= e14 )
| ( ( j @ ( h @ e11 ) )
!= ( j @ e21 ) ) ),
inference(paramod_ordered,[status(thm)],[106,5214]) ).
thf(47503,plain,
( ( ( j @ e22 )
= e14 )
| ( ( h @ e11 )
!= e21 ) ),
inference(simp,[status(thm)],[46974]) ).
thf(112397,plain,
( ( ( j @ e22 )
= e14 )
| ( e21 != e21 ) ),
inference(rewrite,[status(thm)],[47503,112377]) ).
thf(112398,plain,
( ( j @ e22 )
= e14 ),
inference(simp,[status(thm)],[112397]) ).
thf(113181,plain,
( ( ( h @ e12 )
= e23 )
| ( e14 != e14 ) ),
inference(rewrite,[status(thm)],[36662,112398]) ).
thf(113182,plain,
( ( h @ e12 )
= e23 ),
inference(simp,[status(thm)],[113181]) ).
thf(113593,plain,
e23 != e23,
inference(rewrite,[status(thm)],[113300,113182]) ).
thf(113594,plain,
$false,
inference(simp,[status(thm)],[113593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG085+1 : TPTP v8.2.0. Released v2.7.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n008.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Sat May 18 23:49:09 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.97/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.25/0.98 % [INFO] Parsing done (125ms).
% 1.25/0.99 % [INFO] Running in sequential loop mode.
% 1.74/1.19 % [INFO] nitpick registered as external prover.
% 1.74/1.19 % [INFO] Scanning for conjecture ...
% 2.24/1.34 % [INFO] Found a conjecture (or negated_conjecture) and 5 axioms. Running axiom selection ...
% 2.24/1.39 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 2.40/1.42 % [INFO] Problem is first-order (TPTP FOF).
% 2.40/1.42 % [INFO] Type checking passed.
% 2.40/1.43 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 170.57/25.25 % [INFO] Killing All external provers ...
% 170.57/25.25 % Time passed: 24732ms (effective reasoning time: 24262ms)
% 170.57/25.26 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 170.57/25.26 % Axioms used in derivation (4): ax4, ax5, ax1, ax2
% 170.57/25.26 % No. of inferences in proof: 208
% 170.57/25.26 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 24732 ms resp. 24262 ms w/o parsing
% 170.57/25.31 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 170.57/25.31 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------