TSTP Solution File: GRP124-2.004 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP124-2.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 20:19:19 EDT 2024
% Result : Unsatisfiable 0.16s 0.41s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 68
% Syntax : Number of formulae : 304 ( 72 unt; 0 def)
% Number of atoms : 640 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 659 ( 323 ~; 285 |; 0 &)
% ( 51 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 55 ( 54 usr; 52 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 132 ( 132 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3)
| product(X,Y,e_4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( ~ product(X1,Y1,Z1)
| ~ product(X2,Y2,Z1)
| ~ product(Z2,X1,Y1)
| ~ product(Z2,X2,Y2)
| equalish(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( ~ product(X1,Y1,Z1)
| ~ product(X2,Y2,Z1)
| ~ product(Z2,X1,Y1)
| ~ product(Z2,X2,Y2)
| equalish(Y1,Y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f46,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f47,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f48,plain,
group_element(e_4),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f49,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f50,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f51,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f53,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f54,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f57,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f61,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f62,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f64,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f29]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f66,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f68,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f69,plain,
! [X1,X2] :
( ! [Y2,Z2] :
( ! [Y1] :
( ! [Z1] :
( ~ product(X1,Y1,Z1)
| ~ product(X2,Y2,Z1) )
| ~ product(Z2,X1,Y1) )
| ~ product(Z2,X2,Y2) )
| equalish(X1,X2) ),
inference(miniscoping,[status(esa)],[f32]) ).
fof(f70,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f71,plain,
! [Y1,Y2] :
( ! [X2,Z2] :
( ! [X1] :
( ! [Z1] :
( ~ product(X1,Y1,Z1)
| ~ product(X2,Y2,Z1) )
| ~ product(Z2,X1,Y1) )
| ~ product(Z2,X2,Y2) )
| equalish(Y1,Y2) ),
inference(miniscoping,[status(esa)],[f33]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X5,X3,X4)
| equalish(X1,X4) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f73,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f45,f61]) ).
fof(f74,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f46,f61]) ).
fof(f75,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f47,f61]) ).
fof(f76,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f48,f61]) ).
fof(f77,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f49,f67]) ).
fof(f78,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f49,f65]) ).
fof(f79,plain,
! [X0,X1] :
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f49,f63]) ).
fof(f84,plain,
~ product(e_1,e_2,e_2),
inference(resolution,[status(thm)],[f77,f68]) ).
fof(f85,plain,
~ product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[f78,f68]) ).
fof(f86,plain,
~ product(e_2,e_2,e_1),
inference(resolution,[status(thm)],[f79,f68]) ).
fof(f87,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f50,f67]) ).
fof(f88,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f50,f65]) ).
fof(f89,plain,
! [X0,X1] :
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f50,f63]) ).
fof(f94,plain,
~ product(e_1,e_3,e_3),
inference(resolution,[status(thm)],[f87,f68]) ).
fof(f95,plain,
~ product(e_3,e_1,e_3),
inference(resolution,[status(thm)],[f88,f68]) ).
fof(f96,plain,
~ product(e_3,e_3,e_1),
inference(resolution,[status(thm)],[f89,f68]) ).
fof(f97,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f51,f67]) ).
fof(f98,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f51,f65]) ).
fof(f99,plain,
! [X0,X1] :
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f51,f63]) ).
fof(f100,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,e_1,X1)
| ~ product(X2,e_4,X1)
| ~ product(X3,X0,e_1)
| ~ product(X3,X2,e_4) ),
inference(resolution,[status(thm)],[f51,f72]) ).
fof(f104,plain,
~ product(e_1,e_4,e_4),
inference(resolution,[status(thm)],[f97,f68]) ).
fof(f105,plain,
~ product(e_4,e_1,e_4),
inference(resolution,[status(thm)],[f98,f68]) ).
fof(f106,plain,
~ product(e_4,e_4,e_1),
inference(resolution,[status(thm)],[f99,f68]) ).
fof(f112,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f53,f67]) ).
fof(f113,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f53,f65]) ).
fof(f114,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f53,f63]) ).
fof(f116,plain,
! [X0,X1,X2,X3] :
( ~ product(e_2,X0,X1)
| ~ product(e_3,X2,X1)
| ~ product(X3,e_2,X0)
| ~ product(X3,e_3,X2) ),
inference(resolution,[status(thm)],[f53,f70]) ).
fof(f118,plain,
! [X0,X1] :
( ~ product(e_2,X0,e_3)
| ~ product(X1,e_2,X0)
| ~ product(X1,e_3,e_3) ),
inference(resolution,[status(thm)],[f116,f68]) ).
fof(f119,plain,
~ product(e_2,e_3,e_3),
inference(resolution,[status(thm)],[f112,f68]) ).
fof(f120,plain,
~ product(e_3,e_2,e_3),
inference(resolution,[status(thm)],[f113,f68]) ).
fof(f121,plain,
~ product(e_3,e_3,e_2),
inference(resolution,[status(thm)],[f114,f68]) ).
fof(f122,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f54,f67]) ).
fof(f123,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f54,f65]) ).
fof(f124,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f54,f63]) ).
fof(f127,plain,
~ product(e_2,e_4,e_4),
inference(resolution,[status(thm)],[f122,f68]) ).
fof(f128,plain,
~ product(e_4,e_2,e_4),
inference(resolution,[status(thm)],[f123,f68]) ).
fof(f129,plain,
~ product(e_4,e_4,e_2),
inference(resolution,[status(thm)],[f124,f68]) ).
fof(f142,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f57,f67]) ).
fof(f143,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f57,f65]) ).
fof(f144,plain,
! [X0,X1] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f57,f63]) ).
fof(f147,plain,
~ product(e_3,e_4,e_4),
inference(resolution,[status(thm)],[f142,f68]) ).
fof(f148,plain,
~ product(e_4,e_3,e_4),
inference(resolution,[status(thm)],[f143,f68]) ).
fof(f149,plain,
~ product(e_4,e_4,e_3),
inference(resolution,[status(thm)],[f144,f68]) ).
fof(f168,plain,
( spl0_0
<=> product(e_4,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f169,plain,
( product(e_4,e_1,e_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f168]) ).
fof(f171,plain,
( spl0_1
<=> product(e_4,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f172,plain,
( product(e_4,e_1,e_2)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f174,plain,
( spl0_2
<=> product(e_4,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f175,plain,
( product(e_4,e_1,e_3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f174]) ).
fof(f177,plain,
( spl0_3
<=> product(e_4,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f178,plain,
( product(e_4,e_1,e_4)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( product(e_4,e_1,e_1)
| product(e_4,e_1,e_2)
| product(e_4,e_1,e_3)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f73,f48]) ).
fof(f181,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f180,f168,f171,f174,f177]) ).
fof(f182,plain,
( spl0_4
<=> product(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f183,plain,
( product(e_3,e_1,e_1)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,plain,
( spl0_5
<=> product(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f188,plain,
( spl0_6
<=> product(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f189,plain,
( product(e_3,e_1,e_3)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f188]) ).
fof(f191,plain,
( spl0_7
<=> product(e_3,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f192,plain,
( product(e_3,e_1,e_4)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f73,f47]) ).
fof(f195,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f194,f182,f185,f188,f191]) ).
fof(f196,plain,
( spl0_8
<=> product(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f197,plain,
( product(e_2,e_1,e_1)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f196]) ).
fof(f199,plain,
( spl0_9
<=> product(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f200,plain,
( product(e_2,e_1,e_2)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f199]) ).
fof(f202,plain,
( spl0_10
<=> product(e_2,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f203,plain,
( product(e_2,e_1,e_3)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f205,plain,
( spl0_11
<=> product(e_2,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f208,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f73,f46]) ).
fof(f209,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f208,f196,f199,f202,f205]) ).
fof(f213,plain,
( spl0_13
<=> product(e_1,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f214,plain,
( product(e_1,e_1,e_2)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f213]) ).
fof(f224,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f200,f85]) ).
fof(f225,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f189,f95]) ).
fof(f227,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f226]) ).
fof(f228,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f178,f105]) ).
fof(f229,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f228]) ).
fof(f239,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f214,f79]) ).
fof(f240,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f68]) ).
fof(f241,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f240]) ).
fof(f250,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f197,f77]) ).
fof(f251,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f68]) ).
fof(f252,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f263,plain,
( spl0_16
<=> product(e_4,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f264,plain,
( product(e_4,e_2,e_1)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( spl0_17
<=> product(e_4,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f267,plain,
( product(e_4,e_2,e_2)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( spl0_18
<=> product(e_4,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f270,plain,
( product(e_4,e_2,e_3)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,plain,
( spl0_19
<=> product(e_4,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f273,plain,
( product(e_4,e_2,e_4)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,plain,
( product(e_4,e_2,e_1)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f74,f48]) ).
fof(f276,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f275,f263,f266,f269,f272]) ).
fof(f277,plain,
( spl0_20
<=> product(e_3,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f278,plain,
( product(e_3,e_2,e_1)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f277]) ).
fof(f280,plain,
( spl0_21
<=> product(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f281,plain,
( product(e_3,e_2,e_2)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f280]) ).
fof(f283,plain,
( spl0_22
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f284,plain,
( product(e_3,e_2,e_3)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f283]) ).
fof(f286,plain,
( spl0_23
<=> product(e_3,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f287,plain,
( product(e_3,e_2,e_4)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f286]) ).
fof(f289,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_4) ),
inference(resolution,[status(thm)],[f74,f47]) ).
fof(f290,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f289,f277,f280,f283,f286]) ).
fof(f291,plain,
( spl0_24
<=> product(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f292,plain,
( product(e_2,e_2,e_1)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f305,plain,
( spl0_28
<=> product(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f306,plain,
( product(e_1,e_2,e_1)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f305]) ).
fof(f308,plain,
( spl0_29
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f309,plain,
( product(e_1,e_2,e_2)
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( spl0_30
<=> product(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f314,plain,
( spl0_31
<=> product(e_1,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f317,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f74,f45]) ).
fof(f318,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f317,f305,f308,f311,f314]) ).
fof(f319,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f309,f84]) ).
fof(f320,plain,
~ spl0_29,
inference(contradiction_clause,[status(thm)],[f319]) ).
fof(f321,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f86]) ).
fof(f322,plain,
~ spl0_24,
inference(contradiction_clause,[status(thm)],[f321]) ).
fof(f323,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f284,f120]) ).
fof(f324,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f323]) ).
fof(f325,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f273,f128]) ).
fof(f326,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f325]) ).
fof(f333,plain,
( spl0_34
<=> product(e_4,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( product(e_4,e_3,e_3)
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,plain,
( spl0_35
<=> product(e_4,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f337,plain,
( product(e_4,e_3,e_4)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f341,plain,
( spl0_36
<=> product(e_3,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f342,plain,
( product(e_3,e_3,e_1)
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( spl0_37
<=> product(e_3,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f345,plain,
( product(e_3,e_3,e_2)
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( spl0_38
<=> product(e_3,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f350,plain,
( spl0_39
<=> product(e_3,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f351,plain,
( product(e_3,e_3,e_4)
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f75,f47]) ).
fof(f354,plain,
( spl0_36
| spl0_37
| spl0_38
| spl0_39 ),
inference(split_clause,[status(thm)],[f353,f341,f344,f347,f350]) ).
fof(f358,plain,
( spl0_41
<=> product(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f359,plain,
( product(e_2,e_3,e_2)
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f358]) ).
fof(f361,plain,
( spl0_42
<=> product(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f362,plain,
( product(e_2,e_3,e_3)
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f361]) ).
fof(f369,plain,
( spl0_44
<=> product(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( product(e_1,e_3,e_1)
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f372,plain,
( spl0_45
<=> product(e_1,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f375,plain,
( spl0_46
<=> product(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f376,plain,
( product(e_1,e_3,e_3)
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,plain,
( spl0_47
<=> product(e_1,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f379,plain,
( product(e_1,e_3,e_4)
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f75,f45]) ).
fof(f382,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f381,f369,f372,f375,f378]) ).
fof(f383,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f376,f94]) ).
fof(f384,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f362,f119]) ).
fof(f386,plain,
~ spl0_42,
inference(contradiction_clause,[status(thm)],[f385]) ).
fof(f387,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f345,f121]) ).
fof(f388,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f387]) ).
fof(f389,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f342,f96]) ).
fof(f390,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f389]) ).
fof(f391,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f337,f148]) ).
fof(f392,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f391]) ).
fof(f393,plain,
( spl0_48
<=> product(e_4,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( product(e_4,e_4,e_1)
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( spl0_49
<=> product(e_4,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( product(e_4,e_4,e_2)
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( spl0_50
<=> product(e_4,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f400,plain,
( product(e_4,e_4,e_3)
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( spl0_51
<=> product(e_4,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f405,plain,
( product(e_4,e_4,e_1)
| product(e_4,e_4,e_2)
| product(e_4,e_4,e_3)
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f76,f48]) ).
fof(f406,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f405,f393,f396,f399,f402]) ).
fof(f407,plain,
( spl0_52
<=> product(e_3,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f408,plain,
( product(e_3,e_4,e_1)
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( spl0_53
<=> product(e_3,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f411,plain,
( product(e_3,e_4,e_2)
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( spl0_54
<=> product(e_3,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f414,plain,
( product(e_3,e_4,e_3)
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( spl0_55
<=> product(e_3,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f417,plain,
( product(e_3,e_4,e_4)
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( product(e_3,e_4,e_1)
| product(e_3,e_4,e_2)
| product(e_3,e_4,e_3)
| product(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f76,f47]) ).
fof(f420,plain,
( spl0_52
| spl0_53
| spl0_54
| spl0_55 ),
inference(split_clause,[status(thm)],[f419,f407,f410,f413,f416]) ).
fof(f430,plain,
( spl0_59
<=> product(e_2,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f431,plain,
( product(e_2,e_4,e_4)
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f435,plain,
( spl0_60
<=> product(e_1,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f436,plain,
( product(e_1,e_4,e_1)
| ~ spl0_60 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,plain,
( spl0_61
<=> product(e_1,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f439,plain,
( product(e_1,e_4,e_2)
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,plain,
( spl0_62
<=> product(e_1,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( product(e_1,e_4,e_3)
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,plain,
( spl0_63
<=> product(e_1,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f445,plain,
( product(e_1,e_4,e_4)
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,plain,
( product(e_1,e_4,e_1)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f76,f45]) ).
fof(f448,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f447,f435,f438,f441,f444]) ).
fof(f449,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f445,f104]) ).
fof(f450,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( $false
| ~ spl0_59 ),
inference(forward_subsumption_resolution,[status(thm)],[f431,f127]) ).
fof(f452,plain,
~ spl0_59,
inference(contradiction_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( $false
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f417,f147]) ).
fof(f454,plain,
~ spl0_55,
inference(contradiction_clause,[status(thm)],[f453]) ).
fof(f455,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f400,f149]) ).
fof(f456,plain,
~ spl0_50,
inference(contradiction_clause,[status(thm)],[f455]) ).
fof(f457,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f397,f129]) ).
fof(f458,plain,
~ spl0_49,
inference(contradiction_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f394,f106]) ).
fof(f460,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f183,f87]) ).
fof(f463,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f68]) ).
fof(f464,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f463]) ).
fof(f468,plain,
( ~ product(e_2,e_1,e_3)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f175,f122]) ).
fof(f469,plain,
( ~ spl0_10
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f468,f202,f174]) ).
fof(f475,plain,
! [X0] :
( ~ product(X0,e_2,e_1)
| ~ product(X0,e_3,e_3)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f203,f118]) ).
fof(f487,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f306,f78]) ).
fof(f488,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f487,f68]) ).
fof(f489,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f488]) ).
fof(f531,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f370,f88]) ).
fof(f532,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f531,f68]) ).
fof(f533,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f532]) ).
fof(f556,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_39 ),
inference(resolution,[status(thm)],[f351,f144]) ).
fof(f557,plain,
( $false
| ~ spl0_39 ),
inference(forward_subsumption_resolution,[status(thm)],[f556,f68]) ).
fof(f558,plain,
~ spl0_39,
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f560,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_34 ),
inference(resolution,[status(thm)],[f334,f142]) ).
fof(f561,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f560,f68]) ).
fof(f562,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f561]) ).
fof(f567,plain,
( ~ product(e_1,e_2,e_3)
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f442,f123]) ).
fof(f568,plain,
( ~ spl0_30
| ~ spl0_62 ),
inference(split_clause,[status(thm)],[f567,f311,f441]) ).
fof(f575,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_60 ),
inference(resolution,[status(thm)],[f436,f98]) ).
fof(f576,plain,
( $false
| ~ spl0_60 ),
inference(forward_subsumption_resolution,[status(thm)],[f575,f68]) ).
fof(f577,plain,
~ spl0_60,
inference(contradiction_clause,[status(thm)],[f576]) ).
fof(f600,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_54 ),
inference(resolution,[status(thm)],[f414,f143]) ).
fof(f601,plain,
( $false
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f68]) ).
fof(f602,plain,
~ spl0_54,
inference(contradiction_clause,[status(thm)],[f601]) ).
fof(f610,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f169,f97]) ).
fof(f611,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f610,f68]) ).
fof(f612,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f611]) ).
fof(f618,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f264,f142]) ).
fof(f619,plain,
( $false
| ~ spl0_20
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f618,f278]) ).
fof(f620,plain,
( ~ spl0_20
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f619]) ).
fof(f634,plain,
( ~ product(e_1,e_3,e_2)
| ~ spl0_61 ),
inference(resolution,[status(thm)],[f439,f143]) ).
fof(f635,plain,
( ~ spl0_45
| ~ spl0_61 ),
inference(split_clause,[status(thm)],[f634,f372,f438]) ).
fof(f640,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f359,f113]) ).
fof(f641,plain,
( $false
| ~ spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f640,f68]) ).
fof(f642,plain,
~ spl0_41,
inference(contradiction_clause,[status(thm)],[f641]) ).
fof(f650,plain,
( ~ product(e_3,e_1,e_2)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f172,f142]) ).
fof(f651,plain,
( ~ spl0_5
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f650,f185,f171]) ).
fof(f661,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f267,f122]) ).
fof(f662,plain,
( $false
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f661,f68]) ).
fof(f663,plain,
~ spl0_17,
inference(contradiction_clause,[status(thm)],[f662]) ).
fof(f670,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f281,f112]) ).
fof(f671,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f68]) ).
fof(f672,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f671]) ).
fof(f733,plain,
( ~ product(e_3,e_2,e_1)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f475,f68]) ).
fof(f734,plain,
( ~ spl0_20
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f733,f277,f202]) ).
fof(f735,plain,
( ~ product(e_3,e_1,e_4)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f287,f78]) ).
fof(f736,plain,
( ~ spl0_7
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f735,f191,f286]) ).
fof(f737,plain,
( ~ product(e_1,e_2,e_4)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f287,f87]) ).
fof(f738,plain,
( ~ spl0_31
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f737,f314,f286]) ).
fof(f748,plain,
( ~ product(e_2,e_1,e_4)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f192,f112]) ).
fof(f749,plain,
( ~ spl0_11
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f748,f205,f191]) ).
fof(f753,plain,
( ~ product(e_4,e_1,e_3)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f270,f78]) ).
fof(f762,plain,
! [X0,X1] :
( ~ product(X0,e_1,e_1)
| ~ product(X1,X0,e_1)
| ~ product(X1,e_3,e_4)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f408,f100]) ).
fof(f766,plain,
! [X0] :
( ~ product(X0,e_1,e_1)
| ~ product(e_1,X0,e_1)
| ~ spl0_47
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f379,f762]) ).
fof(f775,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_47
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f766,f68]) ).
fof(f776,plain,
( $false
| ~ spl0_47
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f775,f68]) ).
fof(f777,plain,
( ~ spl0_47
| ~ spl0_52 ),
inference(contradiction_clause,[status(thm)],[f776]) ).
fof(f789,plain,
( ~ spl0_2
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f753,f174,f269]) ).
fof(f790,plain,
( ~ product(e_3,e_1,e_2)
| ~ spl0_53 ),
inference(resolution,[status(thm)],[f411,f98]) ).
fof(f791,plain,
( ~ spl0_5
| ~ spl0_53 ),
inference(split_clause,[status(thm)],[f790,f185,f410]) ).
fof(f792,plain,
$false,
inference(sat_refutation,[status(thm)],[f181,f195,f209,f225,f227,f229,f241,f252,f276,f290,f318,f320,f322,f324,f326,f354,f382,f384,f386,f388,f390,f392,f406,f420,f448,f450,f452,f454,f456,f458,f460,f464,f469,f489,f533,f558,f562,f568,f577,f602,f612,f620,f635,f642,f651,f663,f672,f734,f736,f738,f749,f777,f789,f791]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP124-2.004 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:23:33 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.16/0.41 % Refutation found
% 0.16/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.43 % Elapsed time: 0.105771 seconds
% 0.16/0.43 % CPU time: 0.746310 seconds
% 0.16/0.43 % Total memory used: 21.024 MB
% 0.16/0.43 % Net memory used: 19.306 MB
%------------------------------------------------------------------------------