TSTP Solution File: ALG138+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : ALG138+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n012.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 : Fri May 3 02:03:54 EDT 2024
% Result : Unsatisfiable 1.73s 1.16s
% Output : CNFRefutation 1.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 195 ( 110 unt; 0 def)
% Number of atoms : 616 ( 615 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 589 ( 168 ~; 318 |; 103 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( e3 = op(e3,e3)
& e2 = op(e2,e2)
& e1 = op(e1,e1)
& e0 = op(e0,e0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
~ ( e1 = op(op(e2,e3),e3)
& e0 = op(e2,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f8,axiom,
~ ( e2 = op(op(e1,e3),e3)
& e0 = op(e1,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f30,plain,
( e1 != op(op(e2,e3),e3)
| e0 != op(e2,e3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f32,plain,
( e2 != op(op(e1,e3),e3)
| e0 != op(e1,e3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f54,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f55,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f57,plain,
( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f59,plain,
( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f62,plain,
( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f63,plain,
( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f64,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f65,plain,
( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f66,plain,
( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f69,plain,
( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f72,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f73,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f76,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f78,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f87,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f88,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f93,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f95,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f96,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f102,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f104,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f107,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f109,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f112,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f116,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f118,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f121,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f122,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f125,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f126,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f127,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f128,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f129,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f130,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f132,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f138,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f139,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f140,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f141,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f142,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f143,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f146,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f149,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f150,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f151,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f152,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f153,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f154,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f155,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f156,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f157,plain,
e1 = op(e1,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
e2 = op(e2,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f159,plain,
e3 = op(e3,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
( e1 != op(op(e2,e3),e3)
| e0 != op(e2,e3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f162,plain,
( e2 != op(op(e1,e3),e3)
| e0 != op(e1,e3) ),
inference(cnf_transformation,[],[f32]) ).
cnf(c_49,plain,
( op(e3,e3) = e3
| op(e3,e3) = e2
| op(e3,e3) = e1
| op(e3,e3) = e0 ),
inference(cnf_transformation,[],[f69]) ).
cnf(c_52,plain,
( op(e3,e0) = e3
| op(e3,e0) = e2
| op(e3,e0) = e1
| op(e3,e0) = e0 ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_53,plain,
( op(e2,e3) = e3
| op(e2,e3) = e2
| op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(cnf_transformation,[],[f65]) ).
cnf(c_54,plain,
( op(e2,e2) = e3
| op(e2,e2) = e2
| op(e2,e2) = e1
| op(e2,e2) = e0 ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_55,plain,
( op(e2,e1) = e3
| op(e2,e1) = e2
| op(e2,e1) = e1
| op(e2,e1) = e0 ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_56,plain,
( op(e2,e0) = e3
| op(e2,e0) = e2
| op(e2,e0) = e1
| op(e2,e0) = e0 ),
inference(cnf_transformation,[],[f62]) ).
cnf(c_59,plain,
( op(e1,e1) = e3
| op(e1,e1) = e2
| op(e1,e1) = e1
| op(e1,e1) = e0 ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_61,plain,
( op(e0,e3) = e3
| op(e0,e3) = e2
| op(e0,e3) = e1
| op(e0,e3) = e0 ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_63,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2
| op(e0,e1) = e1
| op(e0,e1) = e0 ),
inference(cnf_transformation,[],[f55]) ).
cnf(c_64,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| op(e0,e0) = e0 ),
inference(cnf_transformation,[],[f54]) ).
cnf(c_70,plain,
( op(e3,e3) = e1
| op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1 ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_71,plain,
( op(e3,e3) = e0
| op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0 ),
inference(cnf_transformation,[],[f95]) ).
cnf(c_73,plain,
( op(e3,e2) = e3
| op(e2,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_78,plain,
( op(e2,e3) = e1
| op(e2,e2) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_79,plain,
( op(e3,e2) = e0
| op(e2,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0 ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_88,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e1) = e0
| op(e1,e0) = e0 ),
inference(cnf_transformation,[],[f78]) ).
cnf(c_90,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f76]) ).
cnf(c_93,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f73]) ).
cnf(c_94,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f72]) ).
cnf(c_97,plain,
op(e3,e3) != op(e3,e2),
inference(cnf_transformation,[],[f149]) ).
cnf(c_100,plain,
op(e3,e3) != op(e3,e0),
inference(cnf_transformation,[],[f146]) ).
cnf(c_103,plain,
op(e2,e3) != op(e2,e2),
inference(cnf_transformation,[],[f143]) ).
cnf(c_104,plain,
op(e2,e3) != op(e2,e1),
inference(cnf_transformation,[],[f142]) ).
cnf(c_105,plain,
op(e2,e2) != op(e2,e1),
inference(cnf_transformation,[],[f141]) ).
cnf(c_106,plain,
op(e2,e3) != op(e2,e0),
inference(cnf_transformation,[],[f140]) ).
cnf(c_107,plain,
op(e2,e2) != op(e2,e0),
inference(cnf_transformation,[],[f139]) ).
cnf(c_108,plain,
op(e2,e1) != op(e2,e0),
inference(cnf_transformation,[],[f138]) ).
cnf(c_114,plain,
op(e1,e1) != op(e1,e0),
inference(cnf_transformation,[],[f132]) ).
cnf(c_116,plain,
op(e0,e3) != op(e0,e1),
inference(cnf_transformation,[],[f130]) ).
cnf(c_117,plain,
op(e0,e2) != op(e0,e1),
inference(cnf_transformation,[],[f129]) ).
cnf(c_118,plain,
op(e0,e3) != op(e0,e0),
inference(cnf_transformation,[],[f128]) ).
cnf(c_119,plain,
op(e0,e2) != op(e0,e0),
inference(cnf_transformation,[],[f127]) ).
cnf(c_120,plain,
op(e0,e1) != op(e0,e0),
inference(cnf_transformation,[],[f126]) ).
cnf(c_121,plain,
op(e3,e3) != op(e2,e3),
inference(cnf_transformation,[],[f125]) ).
cnf(c_124,plain,
op(e3,e3) != op(e0,e3),
inference(cnf_transformation,[],[f122]) ).
cnf(c_125,plain,
op(e2,e3) != op(e0,e3),
inference(cnf_transformation,[],[f121]) ).
cnf(c_128,plain,
op(e3,e2) != op(e1,e2),
inference(cnf_transformation,[],[f118]) ).
cnf(c_130,plain,
op(e3,e2) != op(e0,e2),
inference(cnf_transformation,[],[f116]) ).
cnf(c_134,plain,
op(e3,e1) != op(e1,e1),
inference(cnf_transformation,[],[f112]) ).
cnf(c_135,plain,
op(e2,e1) != op(e1,e1),
inference(cnf_transformation,[],[f111]) ).
cnf(c_137,plain,
op(e2,e1) != op(e0,e1),
inference(cnf_transformation,[],[f109]) ).
cnf(c_138,plain,
op(e1,e1) != op(e0,e1),
inference(cnf_transformation,[],[f108]) ).
cnf(c_139,plain,
op(e3,e0) != op(e2,e0),
inference(cnf_transformation,[],[f107]) ).
cnf(c_142,plain,
op(e3,e0) != op(e0,e0),
inference(cnf_transformation,[],[f104]) ).
cnf(c_143,plain,
op(e2,e0) != op(e0,e0),
inference(cnf_transformation,[],[f103]) ).
cnf(c_144,plain,
op(e1,e0) != op(e0,e0),
inference(cnf_transformation,[],[f102]) ).
cnf(c_145,plain,
e3 != e2,
inference(cnf_transformation,[],[f155]) ).
cnf(c_146,plain,
e3 != e1,
inference(cnf_transformation,[],[f154]) ).
cnf(c_147,plain,
e2 != e1,
inference(cnf_transformation,[],[f153]) ).
cnf(c_148,plain,
e3 != e0,
inference(cnf_transformation,[],[f152]) ).
cnf(c_149,plain,
e2 != e0,
inference(cnf_transformation,[],[f151]) ).
cnf(c_150,plain,
e1 != e0,
inference(cnf_transformation,[],[f150]) ).
cnf(c_151,plain,
op(e3,e3) = e3,
inference(cnf_transformation,[],[f159]) ).
cnf(c_152,plain,
op(e2,e2) = e2,
inference(cnf_transformation,[],[f158]) ).
cnf(c_153,plain,
op(e1,e1) = e1,
inference(cnf_transformation,[],[f157]) ).
cnf(c_154,plain,
op(e0,e0) = e0,
inference(cnf_transformation,[],[f156]) ).
cnf(c_155,plain,
( op(op(e2,e3),e3) != e1
| op(e2,e3) != e0 ),
inference(cnf_transformation,[],[f160]) ).
cnf(c_157,plain,
( op(op(e1,e3),e3) != e2
| op(e1,e3) != e0 ),
inference(cnf_transformation,[],[f162]) ).
cnf(c_195,plain,
op(e0,e0) = e0,
inference(global_subsumption_just,[status(thm)],[c_64,c_154]) ).
cnf(c_197,plain,
op(e1,e1) = e1,
inference(global_subsumption_just,[status(thm)],[c_59,c_153]) ).
cnf(c_199,plain,
op(e2,e2) = e2,
inference(global_subsumption_just,[status(thm)],[c_54,c_152]) ).
cnf(c_201,plain,
op(e3,e3) = e3,
inference(global_subsumption_just,[status(thm)],[c_49,c_151]) ).
cnf(c_703,plain,
op(e1,e0) != e0,
inference(light_normalisation,[status(thm)],[c_144,c_195]) ).
cnf(c_704,plain,
op(e2,e0) != e0,
inference(light_normalisation,[status(thm)],[c_143,c_195]) ).
cnf(c_705,plain,
op(e3,e0) != e0,
inference(light_normalisation,[status(thm)],[c_142,c_195]) ).
cnf(c_706,plain,
op(e0,e1) != e1,
inference(light_normalisation,[status(thm)],[c_138,c_197]) ).
cnf(c_707,plain,
op(e2,e1) != e1,
inference(light_normalisation,[status(thm)],[c_135,c_197]) ).
cnf(c_708,plain,
op(e3,e1) != e1,
inference(light_normalisation,[status(thm)],[c_134,c_197]) ).
cnf(c_712,plain,
op(e0,e3) != e3,
inference(light_normalisation,[status(thm)],[c_124,c_201]) ).
cnf(c_714,plain,
op(e2,e3) != e3,
inference(light_normalisation,[status(thm)],[c_121,c_201]) ).
cnf(c_715,plain,
op(e0,e1) != e0,
inference(light_normalisation,[status(thm)],[c_120,c_195]) ).
cnf(c_716,plain,
op(e0,e2) != e0,
inference(light_normalisation,[status(thm)],[c_119,c_195]) ).
cnf(c_717,plain,
op(e0,e3) != e0,
inference(light_normalisation,[status(thm)],[c_118,c_195]) ).
cnf(c_718,plain,
op(e1,e0) != e1,
inference(light_normalisation,[status(thm)],[c_114,c_197]) ).
cnf(c_721,plain,
op(e2,e0) != e2,
inference(light_normalisation,[status(thm)],[c_107,c_199]) ).
cnf(c_722,plain,
op(e2,e1) != e2,
inference(light_normalisation,[status(thm)],[c_105,c_199]) ).
cnf(c_723,plain,
op(e2,e3) != e2,
inference(light_normalisation,[status(thm)],[c_103,c_199]) ).
cnf(c_724,plain,
op(e3,e0) != e3,
inference(light_normalisation,[status(thm)],[c_100,c_201]) ).
cnf(c_726,plain,
op(e3,e2) != e3,
inference(light_normalisation,[status(thm)],[c_97,c_201]) ).
cnf(c_821,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1
| op(e0,e1) = e1
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_94,c_195]) ).
cnf(c_822,plain,
( op(e0,e3) = e1
| op(e0,e2) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_821,c_150,c_706]) ).
cnf(c_827,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1
| op(e1,e0) = e1
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_93,c_195]) ).
cnf(c_828,plain,
( op(e3,e0) = e1
| op(e2,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_827,c_150,c_718]) ).
cnf(c_845,plain,
( op(e0,e3) = e3
| op(e0,e2) = e3
| op(e0,e1) = e3
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_90,c_195]) ).
cnf(c_846,plain,
( op(e0,e2) = e3
| op(e0,e1) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_845,c_148,c_712]) ).
cnf(c_857,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0
| op(e1,e0) = e0
| e1 = e0 ),
inference(light_normalisation,[status(thm)],[c_88,c_197]) ).
cnf(c_858,plain,
( op(e1,e3) = e0
| op(e1,e2) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_857,c_150,c_703]) ).
cnf(c_899,plain,
( op(e3,e2) = e0
| op(e1,e2) = e0
| op(e0,e2) = e0
| e2 = e0 ),
inference(light_normalisation,[status(thm)],[c_79,c_199]) ).
cnf(c_900,plain,
( op(e3,e2) = e0
| op(e1,e2) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_899,c_149,c_716]) ).
cnf(c_905,plain,
( op(e2,e3) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1
| e2 = e1 ),
inference(light_normalisation,[status(thm)],[c_78,c_199]) ).
cnf(c_906,plain,
( op(e2,e3) = e1
| op(e2,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_905,c_147,c_707]) ).
cnf(c_923,plain,
( op(e3,e2) = e3
| op(e1,e2) = e3
| op(e0,e2) = e3
| e3 = e2 ),
inference(light_normalisation,[status(thm)],[c_73,c_199]) ).
cnf(c_924,plain,
( op(e1,e2) = e3
| op(e0,e2) = e3 ),
inference(forward_subsumption_resolution,[status(thm)],[c_923,c_145,c_726]) ).
cnf(c_935,plain,
( op(e2,e3) = e0
| op(e1,e3) = e0
| op(e0,e3) = e0
| e3 = e0 ),
inference(light_normalisation,[status(thm)],[c_71,c_201]) ).
cnf(c_936,plain,
( op(e2,e3) = e0
| op(e1,e3) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_935,c_148,c_717]) ).
cnf(c_941,plain,
( op(e3,e2) = e1
| op(e3,e1) = e1
| op(e3,e0) = e1
| e3 = e1 ),
inference(light_normalisation,[status(thm)],[c_70,c_201]) ).
cnf(c_942,plain,
( op(e3,e2) = e1
| op(e3,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_941,c_146,c_708]) ).
cnf(c_965,plain,
( op(e0,e1) = e3
| op(e0,e1) = e2 ),
inference(forward_subsumption_resolution,[status(thm)],[c_63,c_715,c_706]) ).
cnf(c_975,plain,
( op(e0,e3) = e2
| op(e0,e3) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_61,c_717,c_712]) ).
cnf(c_995,plain,
( op(e2,e0) = e3
| op(e2,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_56,c_704,c_721]) ).
cnf(c_1000,plain,
( op(e2,e1) = e3
| op(e2,e1) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_55,c_707,c_722]) ).
cnf(c_1005,plain,
( op(e2,e3) = e1
| op(e2,e3) = e0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_53,c_723,c_714]) ).
cnf(c_1010,plain,
( op(e3,e0) = e2
| op(e3,e0) = e1 ),
inference(forward_subsumption_resolution,[status(thm)],[c_52,c_705,c_724]) ).
cnf(c_2003,plain,
( op(e3,e2) != e1
| op(e0,e3) = e1 ),
inference(superposition,[status(thm)],[c_822,c_130]) ).
cnf(c_2019,plain,
( op(e2,e3) != e1
| op(e3,e0) = e1 ),
inference(superposition,[status(thm)],[c_828,c_106]) ).
cnf(c_2054,plain,
( op(e2,e1) != e3
| op(e0,e2) = e3 ),
inference(superposition,[status(thm)],[c_846,c_137]) ).
cnf(c_2086,plain,
( op(e3,e2) != e0
| op(e1,e3) = e0 ),
inference(superposition,[status(thm)],[c_858,c_128]) ).
cnf(c_2204,plain,
( op(e3,e0) != e1
| op(e2,e3) = e1 ),
inference(superposition,[status(thm)],[c_906,c_139]) ).
cnf(c_2360,plain,
( op(e2,e3) != e1
| op(e0,e3) = e2 ),
inference(superposition,[status(thm)],[c_975,c_125]) ).
cnf(c_2424,plain,
( op(e2,e3) != e0
| op(e2,e1) = e3 ),
inference(superposition,[status(thm)],[c_1000,c_104]) ).
cnf(c_2435,plain,
( op(e2,e3) != e0
| op(e0,e3) != e1
| op(e2,e3) = e1 ),
inference(superposition,[status(thm)],[c_1005,c_155]) ).
cnf(c_2446,plain,
( op(e1,e3) != e0
| op(e0,e3) != e2
| op(e2,e3) = e0 ),
inference(superposition,[status(thm)],[c_936,c_157]) ).
cnf(c_2453,plain,
op(e3,e0) = e1,
inference(global_subsumption_just,[status(thm)],[c_1010,c_53,c_714,c_723,c_942,c_2003,c_2019,c_2435]) ).
cnf(c_2459,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm)],[c_139,c_2453]) ).
cnf(c_2466,plain,
op(e2,e0) = e3,
inference(backward_subsumption_resolution,[status(thm)],[c_995,c_2459]) ).
cnf(c_2469,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm)],[c_108,c_2466]) ).
cnf(c_2473,plain,
op(e2,e1) = e0,
inference(backward_subsumption_resolution,[status(thm)],[c_1000,c_2469]) ).
cnf(c_2477,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm)],[c_104,c_2473]) ).
cnf(c_2480,plain,
op(e2,e3) = e1,
inference(backward_subsumption_resolution,[status(thm)],[c_1005,c_2477]) ).
cnf(c_2482,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm)],[c_125,c_2480]) ).
cnf(c_2486,plain,
op(e0,e3) = e2,
inference(backward_subsumption_resolution,[status(thm)],[c_975,c_2482]) ).
cnf(c_2489,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm)],[c_116,c_2486]) ).
cnf(c_2493,plain,
op(e0,e1) = e3,
inference(backward_subsumption_resolution,[status(thm)],[c_965,c_2489]) ).
cnf(c_2496,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm)],[c_117,c_2493]) ).
cnf(c_2500,plain,
op(e1,e2) = e3,
inference(backward_subsumption_resolution,[status(thm)],[c_924,c_2496]) ).
cnf(c_2505,plain,
( op(e3,e2) = e0
| e3 = e0 ),
inference(demodulation,[status(thm)],[c_900,c_2500]) ).
cnf(c_2519,plain,
op(e3,e2) = e0,
inference(forward_subsumption_resolution,[status(thm)],[c_2505,c_148]) ).
cnf(c_2528,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_2496,c_2519,c_2453,c_2446,c_2424,c_2360,c_2204,c_2086,c_2054]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : ALG138+1 : TPTP v8.1.2. Released v2.7.0.
% 0.13/0.14 % Command : run_iprover %s %d THM
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu May 2 22:39:42 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.23/0.49 Running first-order theorem proving
% 0.23/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.73/1.16 % SZS status Started for theBenchmark.p
% 1.73/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.73/1.16
% 1.73/1.16 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.73/1.16
% 1.73/1.16 ------ iProver source info
% 1.73/1.16
% 1.73/1.16 git: date: 2024-05-02 19:28:25 +0000
% 1.73/1.16 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.73/1.16 git: non_committed_changes: false
% 1.73/1.16
% 1.73/1.16 ------ Parsing...
% 1.73/1.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 1.73/1.16
% 1.73/1.16 ------ Preprocessing... sup_sim: 60 sf_s rm: 0 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e
% 1.73/1.16
% 1.73/1.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 1.73/1.16
% 1.73/1.16 ------ Preprocessing... sf_s rm: 0 0s sf_e
% 1.73/1.16 ------ Proving...
% 1.73/1.16 ------ Problem Properties
% 1.73/1.16
% 1.73/1.16
% 1.73/1.16 clauses 118
% 1.73/1.16 conjectures 0
% 1.73/1.16 EPR 6
% 1.73/1.16 Horn 82
% 1.73/1.16 unary 58
% 1.73/1.16 binary 60
% 1.73/1.16 lits 178
% 1.73/1.16 lits eq 178
% 1.73/1.16 fd_pure 0
% 1.73/1.16 fd_pseudo 0
% 1.73/1.16 fd_cond 0
% 1.73/1.16 fd_pseudo_cond 0
% 1.73/1.16 AC symbols 0
% 1.73/1.16
% 1.73/1.16 ------ Schedule dynamic 5 is on
% 1.73/1.16
% 1.73/1.16 ------ no conjectures: strip conj schedule
% 1.73/1.16
% 1.73/1.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 1.73/1.16
% 1.73/1.16
% 1.73/1.16 ------
% 1.73/1.16 Current options:
% 1.73/1.16 ------
% 1.73/1.16
% 1.73/1.16
% 1.73/1.16
% 1.73/1.16
% 1.73/1.16 ------ Proving...
% 1.73/1.16
% 1.73/1.16
% 1.73/1.16 % SZS status Unsatisfiable for theBenchmark.p
% 1.73/1.16
% 1.73/1.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
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% 1.73/1.16
%------------------------------------------------------------------------------