TSTP Solution File: ALG042+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG042+1 : TPTP v8.1.2. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 : Tue Apr 30 20:09:10 EDT 2024
% Result : Theorem 0.15s 0.33s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 143 ( 34 unt; 0 def)
% Number of atoms : 526 ( 376 equ)
% Maximal formula atoms : 72 ( 3 avg)
% Number of connectives : 508 ( 125 ~; 186 |; 179 &)
% ( 16 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 18 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
( op1(e10,e10) = e10
& op1(e10,e11) = e11
& op1(e10,e12) = e12
& op1(e10,e13) = e13
& op1(e11,e10) = e11
& op1(e11,e11) = e10
& op1(e11,e12) = e13
& op1(e11,e13) = e12
& op1(e12,e10) = e12
& op1(e12,e11) = e13
& op1(e12,e12) = e10
& op1(e12,e13) = e11
& op1(e13,e10) = e13
& op1(e13,e11) = e12
& op1(e13,e12) = e11
& op1(e13,e13) = e10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
( op2(e20,e20) = e20
& op2(e20,e21) = e21
& op2(e20,e22) = e22
& op2(e20,e23) = e23
& op2(e21,e20) = e21
& op2(e21,e21) = e23
& op2(e21,e22) = e20
& op2(e21,e23) = e22
& op2(e22,e20) = e22
& op2(e22,e21) = e20
& op2(e22,e22) = e23
& op2(e22,e23) = e21
& op2(e23,e20) = e23
& op2(e23,e21) = e22
& op2(e23,e22) = e21
& op2(e23,e23) = e20 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,conjecture,
( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) )
=> ~ ( 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(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(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(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))
& 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(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(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(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))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ ( ( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 ) )
=> ~ ( 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(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(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(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))
& 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(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(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(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))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ) ),
inference(negated_conjecture,[status(cth)],[f6]) ).
fof(f9,plain,
e10 != e12,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f10,plain,
e10 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f13,plain,
e12 != e13,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
e20 != e23,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
e21 != e22,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
e21 != e23,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
e22 != e23,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f36,plain,
op1(e10,e10) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f40,plain,
op1(e11,e10) = e11,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f41,plain,
op1(e11,e11) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f46,plain,
op1(e12,e12) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f51,plain,
op1(e13,e13) = e10,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f57,plain,
op2(e21,e21) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f59,plain,
op2(e21,e23) = e22,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f62,plain,
op2(e22,e22) = e23,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f67,plain,
op2(e23,e23) = e20,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f68,plain,
( ( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 )
& ( h(e11) = e20
| h(e11) = e21
| h(e11) = e22
| h(e11) = e23 )
& ( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 )
& ( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 )
& ( j(e20) = e10
| j(e20) = e11
| j(e20) = e12
| j(e20) = e13 )
& ( j(e21) = e10
| j(e21) = e11
| j(e21) = e12
| j(e21) = e13 )
& ( j(e22) = e10
| j(e22) = e11
| j(e22) = e12
| j(e22) = e13 )
& ( j(e23) = e10
| j(e23) = e11
| j(e23) = e12
| j(e23) = e13 )
& 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(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(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(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))
& 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(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(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(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))
& h(j(e20)) = e20
& h(j(e21)) = e21
& h(j(e22)) = e22
& h(j(e23)) = e23
& j(h(e10)) = e10
& j(h(e11)) = e11
& j(h(e12)) = e12
& j(h(e13)) = e13 ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f69,plain,
( h(e10) = e20
| h(e10) = e21
| h(e10) = e22
| h(e10) = e23 ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f71,plain,
( h(e12) = e20
| h(e12) = e21
| h(e12) = e22
| h(e12) = e23 ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f72,plain,
( h(e13) = e20
| h(e13) = e21
| h(e13) = e22
| h(e13) = e23 ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f77,plain,
h(op1(e10,e10)) = op2(h(e10),h(e10)),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f81,plain,
h(op1(e11,e10)) = op2(h(e11),h(e10)),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f82,plain,
h(op1(e11,e11)) = op2(h(e11),h(e11)),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f87,plain,
h(op1(e12,e12)) = op2(h(e12),h(e12)),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f92,plain,
h(op1(e13,e13)) = op2(h(e13),h(e13)),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f113,plain,
j(h(e10)) = e10,
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f115,plain,
j(h(e12)) = e12,
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f116,plain,
j(h(e13)) = e13,
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f117,plain,
( spl0_0
<=> h(e10) = e20 ),
introduced(split_symbol_definition) ).
fof(f118,plain,
( h(e10) = e20
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,plain,
( spl0_1
<=> h(e10) = e21 ),
introduced(split_symbol_definition) ).
fof(f121,plain,
( h(e10) = e21
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( spl0_2
<=> h(e10) = e22 ),
introduced(split_symbol_definition) ).
fof(f124,plain,
( h(e10) = e22
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f123]) ).
fof(f126,plain,
( spl0_3
<=> h(e10) = e23 ),
introduced(split_symbol_definition) ).
fof(f127,plain,
( h(e10) = e23
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f128,plain,
( h(e10) != e23
| spl0_3 ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f69,f117,f120,f123,f126]) ).
fof(f133,plain,
( spl0_5
<=> h(e11) = e21 ),
introduced(split_symbol_definition) ).
fof(f134,plain,
( h(e11) = e21
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f143,plain,
( spl0_8
<=> h(e12) = e20 ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( h(e12) = e20
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( spl0_9
<=> h(e12) = e21 ),
introduced(split_symbol_definition) ).
fof(f147,plain,
( h(e12) = e21
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,plain,
( spl0_10
<=> h(e12) = e22 ),
introduced(split_symbol_definition) ).
fof(f150,plain,
( h(e12) = e22
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( spl0_11
<=> h(e12) = e23 ),
introduced(split_symbol_definition) ).
fof(f153,plain,
( h(e12) = e23
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f71,f143,f146,f149,f152]) ).
fof(f156,plain,
( spl0_12
<=> h(e13) = e20 ),
introduced(split_symbol_definition) ).
fof(f157,plain,
( h(e13) = e20
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( spl0_13
<=> h(e13) = e21 ),
introduced(split_symbol_definition) ).
fof(f160,plain,
( h(e13) = e21
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f159]) ).
fof(f162,plain,
( spl0_14
<=> h(e13) = e22 ),
introduced(split_symbol_definition) ).
fof(f163,plain,
( h(e13) = e22
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( spl0_15
<=> h(e13) = e23 ),
introduced(split_symbol_definition) ).
fof(f166,plain,
( h(e13) = e23
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f165]) ).
fof(f168,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f72,f156,f159,f162,f165]) ).
fof(f169,plain,
( spl0_16
<=> j(e20) = e10 ),
introduced(split_symbol_definition) ).
fof(f170,plain,
( j(e20) = e10
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f169]) ).
fof(f214,plain,
( spl0_30
<=> j(e23) = e12 ),
introduced(split_symbol_definition) ).
fof(f215,plain,
( j(e23) = e12
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,plain,
( spl0_31
<=> j(e23) = e13 ),
introduced(split_symbol_definition) ).
fof(f218,plain,
( j(e23) = e13
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f217]) ).
fof(f221,plain,
h(e10) = op2(h(e10),h(e10)),
inference(forward_demodulation,[status(thm)],[f36,f77]) ).
fof(f225,plain,
h(e11) = op2(h(e11),h(e10)),
inference(forward_demodulation,[status(thm)],[f40,f81]) ).
fof(f226,plain,
h(e10) = op2(h(e11),h(e11)),
inference(forward_demodulation,[status(thm)],[f41,f82]) ).
fof(f231,plain,
h(e10) = op2(h(e12),h(e12)),
inference(forward_demodulation,[status(thm)],[f46,f87]) ).
fof(f236,plain,
h(e10) = op2(h(e13),h(e13)),
inference(forward_demodulation,[status(thm)],[f51,f92]) ).
fof(f253,plain,
( e13 = e12
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_demodulation,[status(thm)],[f218,f215]) ).
fof(f254,plain,
( $false
| ~ spl0_31
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f253,f13]) ).
fof(f255,plain,
( ~ spl0_31
| ~ spl0_30 ),
inference(contradiction_clause,[status(thm)],[f254]) ).
fof(f312,plain,
( h(e10) = op2(h(e10),e23)
| ~ spl0_3 ),
inference(backward_demodulation,[status(thm)],[f127,f221]) ).
fof(f313,plain,
( e23 = op2(h(e10),e23)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f127,f312]) ).
fof(f314,plain,
( e23 = op2(e23,e23)
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f127,f313]) ).
fof(f315,plain,
( e23 = e20
| ~ spl0_3 ),
inference(forward_demodulation,[status(thm)],[f67,f314]) ).
fof(f316,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f315,f16]) ).
fof(f317,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f316]) ).
fof(f400,plain,
( j(e20) = e12
| ~ spl0_8 ),
inference(backward_demodulation,[status(thm)],[f144,f115]) ).
fof(f401,plain,
( e10 = e12
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f170,f400]) ).
fof(f402,plain,
( $false
| ~ spl0_16
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f401,f9]) ).
fof(f403,plain,
( ~ spl0_16
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f402]) ).
fof(f407,plain,
( e22 = op2(h(e10),h(e10))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f124,f221]) ).
fof(f408,plain,
( e22 = op2(e22,h(e10))
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f124,f407]) ).
fof(f409,plain,
( e22 = op2(e22,e22)
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f124,f408]) ).
fof(f410,plain,
( e22 = e23
| ~ spl0_2 ),
inference(forward_demodulation,[status(thm)],[f62,f409]) ).
fof(f411,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f410,f19]) ).
fof(f412,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f411]) ).
fof(f446,plain,
( j(e20) = e10
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f118,f113]) ).
fof(f472,plain,
( h(e10) = op2(e21,h(e13))
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f160,f236]) ).
fof(f473,plain,
( h(e10) = op2(e21,e21)
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f160,f472]) ).
fof(f474,plain,
( h(e10) = e23
| ~ spl0_13 ),
inference(forward_demodulation,[status(thm)],[f57,f473]) ).
fof(f475,plain,
( $false
| spl0_3
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f128]) ).
fof(f476,plain,
( spl0_3
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f475]) ).
fof(f477,plain,
( h(e10) = op2(e21,h(e12))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f147,f231]) ).
fof(f478,plain,
( h(e10) = op2(e21,e21)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f147,f477]) ).
fof(f479,plain,
( h(e10) = e23
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f57,f478]) ).
fof(f480,plain,
( $false
| spl0_3
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f128]) ).
fof(f481,plain,
( spl0_3
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f480]) ).
fof(f486,plain,
( e21 = op2(h(e10),h(e10))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f121,f221]) ).
fof(f487,plain,
( e21 = op2(e21,h(e10))
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f121,f486]) ).
fof(f488,plain,
( e21 = op2(e21,e21)
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f121,f487]) ).
fof(f489,plain,
( e21 = e23
| ~ spl0_1 ),
inference(forward_demodulation,[status(thm)],[f57,f488]) ).
fof(f490,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f18]) ).
fof(f491,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f490]) ).
fof(f508,plain,
( h(e11) = op2(e21,h(e10))
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f134,f225]) ).
fof(f509,plain,
( e21 = op2(e21,h(e10))
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f134,f508]) ).
fof(f510,plain,
( h(e10) = op2(h(e11),e21)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f134,f226]) ).
fof(f511,plain,
( h(e10) = op2(e21,e21)
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f134,f510]) ).
fof(f512,plain,
( h(e10) = e23
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f57,f511]) ).
fof(f521,plain,
( spl0_16
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f446,f169,f117]) ).
fof(f544,plain,
( e20 = op2(h(e13),h(e13))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f118,f236]) ).
fof(f545,plain,
( e20 = op2(e22,h(e13))
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f163,f544]) ).
fof(f546,plain,
( e20 = op2(e22,e22)
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f163,f545]) ).
fof(f547,plain,
( e20 = e23
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f62,f546]) ).
fof(f548,plain,
( $false
| ~ spl0_14
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f547,f16]) ).
fof(f549,plain,
( ~ spl0_14
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f548]) ).
fof(f571,plain,
( j(e20) = e10
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f118,f113]) ).
fof(f580,plain,
( e21 = op2(e21,e23)
| ~ spl0_5 ),
inference(backward_demodulation,[status(thm)],[f512,f509]) ).
fof(f581,plain,
( e21 = e22
| ~ spl0_5 ),
inference(forward_demodulation,[status(thm)],[f59,f580]) ).
fof(f582,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f581,f17]) ).
fof(f583,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f582]) ).
fof(f590,plain,
( e20 = op2(h(e12),h(e12))
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f118,f231]) ).
fof(f642,plain,
( e20 = op2(h(e12),e22)
| ~ spl0_10
| ~ spl0_0 ),
inference(backward_demodulation,[status(thm)],[f150,f590]) ).
fof(f643,plain,
( e20 = op2(e22,e22)
| ~ spl0_10
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f150,f642]) ).
fof(f644,plain,
( e20 = e23
| ~ spl0_10
| ~ spl0_0 ),
inference(forward_demodulation,[status(thm)],[f62,f643]) ).
fof(f645,plain,
( $false
| ~ spl0_10
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f644,f16]) ).
fof(f646,plain,
( ~ spl0_10
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f645]) ).
fof(f669,plain,
( j(e20) = e13
| ~ spl0_12 ),
inference(backward_demodulation,[status(thm)],[f157,f116]) ).
fof(f670,plain,
( e10 = e13
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_demodulation,[status(thm)],[f571,f669]) ).
fof(f671,plain,
( $false
| ~ spl0_0
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f10]) ).
fof(f672,plain,
( ~ spl0_0
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f671]) ).
fof(f701,plain,
( j(e23) = e12
| ~ spl0_11 ),
inference(backward_demodulation,[status(thm)],[f153,f115]) ).
fof(f702,plain,
( spl0_30
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f701,f214,f152]) ).
fof(f737,plain,
( j(e23) = e13
| ~ spl0_15 ),
inference(backward_demodulation,[status(thm)],[f166,f116]) ).
fof(f738,plain,
( spl0_31
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f737,f217,f165]) ).
fof(f747,plain,
$false,
inference(sat_refutation,[status(thm)],[f129,f155,f168,f255,f317,f403,f412,f476,f481,f491,f521,f549,f583,f646,f672,f702,f738]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : ALG042+1 : TPTP v8.1.2. Released v2.7.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n028.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 23:51:44 EDT 2024
% 0.09/0.32 % CPUTime :
% 0.15/0.32 % Drodi V3.6.0
% 0.15/0.33 % Refutation found
% 0.15/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.35 % Elapsed time: 0.022010 seconds
% 0.15/0.35 % CPU time: 0.066734 seconds
% 0.15/0.35 % Total memory used: 3.299 MB
% 0.15/0.35 % Net memory used: 3.262 MB
%------------------------------------------------------------------------------