TSTP Solution File: GRP124-4.004 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP124-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 : Wed May 31 12:10:30 EDT 2023
% Result : Unsatisfiable 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 68
% Syntax : Number of formulae : 317 ( 74 unt; 0 def)
% Number of atoms : 695 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 719 ( 341 ~; 329 |; 0 &)
% ( 49 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 53 ( 52 usr; 50 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 142 (; 142 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(e_1,X,Y)
| product(e_2,X,Y)
| product(e_3,X,Y)
| product(e_4,X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,e_1,Y)
| product(X,e_2,Y)
| product(X,e_3,Y)
| product(X,e_4,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
group_element(e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,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/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(e_1,X0,X1)
| product(e_2,X0,X1)
| product(e_3,X0,X1)
| product(e_4,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f27,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,e_1,X1)
| product(X0,e_2,X1)
| product(X0,e_3,X1)
| product(X0,e_4,X1) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f28,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f29,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f30,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f31,plain,
group_element(e_4),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f32,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f33,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f34,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f36,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f37,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f40,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f44,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)],[f19]) ).
fof(f45,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f46,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f47,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f21]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f49,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f22]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f49]) ).
fof(f51,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f52,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)],[f24]) ).
fof(f53,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)],[f52]) ).
fof(f54,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)],[f25]) ).
fof(f55,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)],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f32,f50]) ).
fof(f57,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f32,f48]) ).
fof(f58,plain,
! [X0,X1] :
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f32,f46]) ).
fof(f61,plain,
~ product(e_1,e_2,e_2),
inference(resolution,[status(thm)],[f56,f51]) ).
fof(f62,plain,
~ product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[f57,f51]) ).
fof(f63,plain,
~ product(e_2,e_2,e_1),
inference(resolution,[status(thm)],[f58,f51]) ).
fof(f66,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f33,f50]) ).
fof(f67,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f33,f48]) ).
fof(f68,plain,
! [X0,X1] :
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f33,f46]) ).
fof(f71,plain,
! [X0,X1] :
( ~ product(e_1,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f34,f50]) ).
fof(f72,plain,
! [X0,X1] :
( ~ product(X0,e_1,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f34,f48]) ).
fof(f73,plain,
! [X0,X1] :
( ~ product(X0,X1,e_1)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f34,f46]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ~ product(e_1,X0,X1)
| ~ product(e_4,X2,X1)
| ~ product(X3,e_1,X0)
| ~ product(X3,e_4,X2) ),
inference(resolution,[status(thm)],[f34,f53]) ).
fof(f81,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f36,f50]) ).
fof(f82,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f36,f48]) ).
fof(f83,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f36,f46]) ).
fof(f86,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f37,f50]) ).
fof(f87,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f37,f48]) ).
fof(f88,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f37,f46]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,e_2,X1)
| ~ product(X2,e_4,X1)
| ~ product(X3,X0,e_2)
| ~ product(X3,X2,e_4) ),
inference(resolution,[status(thm)],[f37,f55]) ).
fof(f101,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f40,f50]) ).
fof(f102,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f40,f48]) ).
fof(f103,plain,
! [X0,X1] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f40,f46]) ).
fof(f121,plain,
~ product(e_1,e_3,e_3),
inference(resolution,[status(thm)],[f66,f51]) ).
fof(f122,plain,
~ product(e_3,e_1,e_3),
inference(resolution,[status(thm)],[f67,f51]) ).
fof(f123,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_4)
| product(e_2,X0,e_4)
| product(e_3,X0,e_4)
| product(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f26,f31]) ).
fof(f125,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_2,X0,e_2)
| product(e_3,X0,e_2)
| product(e_4,X0,e_2) ),
inference(resolution,[status(thm)],[f26,f29]) ).
fof(f127,plain,
! [X0] :
( ~ group_element(X0)
| product(X0,e_1,e_4)
| product(X0,e_2,e_4)
| product(X0,e_3,e_4)
| product(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f27,f31]) ).
fof(f132,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)],[f44,f30]) ).
fof(f133,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)],[f44,f29]) ).
fof(f134,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)],[f44,f28]) ).
fof(f138,plain,
! [X0,X1] :
( ~ product(e_1,X0,e_4)
| ~ product(X1,e_1,X0)
| ~ product(X1,e_4,e_4) ),
inference(resolution,[status(thm)],[f75,f51]) ).
fof(f141,plain,
! [X0,X1] :
( ~ product(X0,e_2,e_4)
| ~ product(X1,X0,e_2)
| ~ product(X1,e_4,e_4) ),
inference(resolution,[status(thm)],[f89,f51]) ).
fof(f145,plain,
~ product(e_3,e_3,e_1),
inference(resolution,[status(thm)],[f68,f51]) ).
fof(f146,plain,
~ product(e_1,e_4,e_4),
inference(resolution,[status(thm)],[f71,f51]) ).
fof(f147,plain,
~ product(e_4,e_1,e_4),
inference(resolution,[status(thm)],[f72,f51]) ).
fof(f148,plain,
~ product(e_4,e_4,e_1),
inference(resolution,[status(thm)],[f73,f51]) ).
fof(f149,plain,
~ product(e_2,e_3,e_3),
inference(resolution,[status(thm)],[f81,f51]) ).
fof(f150,plain,
~ product(e_3,e_2,e_3),
inference(resolution,[status(thm)],[f82,f51]) ).
fof(f151,plain,
~ product(e_3,e_3,e_2),
inference(resolution,[status(thm)],[f83,f51]) ).
fof(f152,plain,
~ product(e_2,e_4,e_4),
inference(resolution,[status(thm)],[f86,f51]) ).
fof(f153,plain,
~ product(e_4,e_2,e_4),
inference(resolution,[status(thm)],[f87,f51]) ).
fof(f154,plain,
~ product(e_4,e_4,e_2),
inference(resolution,[status(thm)],[f88,f51]) ).
fof(f155,plain,
~ product(e_3,e_4,e_4),
inference(resolution,[status(thm)],[f101,f51]) ).
fof(f156,plain,
~ product(e_4,e_3,e_4),
inference(resolution,[status(thm)],[f102,f51]) ).
fof(f157,plain,
~ product(e_4,e_4,e_3),
inference(resolution,[status(thm)],[f103,f51]) ).
fof(f158,plain,
( spl0_0
<=> product(e_1,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f159,plain,
( product(e_1,e_4,e_4)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( spl0_1
<=> product(e_2,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f162,plain,
( product(e_2,e_4,e_4)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f161]) ).
fof(f164,plain,
( spl0_2
<=> product(e_3,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f165,plain,
( product(e_3,e_4,e_4)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f164]) ).
fof(f167,plain,
( spl0_3
<=> product(e_4,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f172,plain,
( spl0_4
<=> product(e_1,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f173,plain,
( product(e_1,e_3,e_4)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,plain,
( spl0_5
<=> product(e_2,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f176,plain,
( product(e_2,e_3,e_4)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( spl0_6
<=> product(e_3,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f179,plain,
( product(e_3,e_3,e_4)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f178]) ).
fof(f181,plain,
( spl0_7
<=> product(e_4,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f182,plain,
( product(e_4,e_3,e_4)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f181]) ).
fof(f184,plain,
( product(e_1,e_3,e_4)
| product(e_2,e_3,e_4)
| product(e_3,e_3,e_4)
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f123,f30]) ).
fof(f185,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f184,f172,f175,f178,f181]) ).
fof(f186,plain,
( spl0_8
<=> product(e_1,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f187,plain,
( product(e_1,e_2,e_4)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( spl0_9
<=> product(e_2,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f190,plain,
( product(e_2,e_2,e_4)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( spl0_10
<=> product(e_3,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f193,plain,
( product(e_3,e_2,e_4)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( spl0_11
<=> product(e_4,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f196,plain,
( product(e_4,e_2,e_4)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f195]) ).
fof(f198,plain,
( product(e_1,e_2,e_4)
| product(e_2,e_2,e_4)
| product(e_3,e_2,e_4)
| product(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f123,f29]) ).
fof(f199,plain,
( spl0_8
| spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f198,f186,f189,f192,f195]) ).
fof(f200,plain,
( spl0_12
<=> product(e_1,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f201,plain,
( product(e_1,e_1,e_4)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( spl0_13
<=> product(e_2,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f204,plain,
( product(e_2,e_1,e_4)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f206,plain,
( spl0_14
<=> product(e_3,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f207,plain,
( product(e_3,e_1,e_4)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f206]) ).
fof(f209,plain,
( spl0_15
<=> product(e_4,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f210,plain,
( product(e_4,e_1,e_4)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f209]) ).
fof(f212,plain,
( product(e_1,e_1,e_4)
| product(e_2,e_1,e_4)
| product(e_3,e_1,e_4)
| product(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f123,f28]) ).
fof(f213,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f212,f200,f203,f206,f209]) ).
fof(f214,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f210,f147]) ).
fof(f215,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f214]) ).
fof(f216,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f196,f153]) ).
fof(f217,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f216]) ).
fof(f218,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f156]) ).
fof(f219,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( ~ product(e_2,e_1,e_4)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f207,f81]) ).
fof(f227,plain,
( ~ product(e_3,e_1,e_2)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f207,f88]) ).
fof(f229,plain,
( $false
| ~ spl0_14
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f204,f221]) ).
fof(f230,plain,
( ~ spl0_14
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f229]) ).
fof(f235,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f201,f73]) ).
fof(f236,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f51]) ).
fof(f237,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f236]) ).
fof(f243,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| ~ product(X0,e_4,e_4)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f193,f141]) ).
fof(f251,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| ~ product(X0,e_4,e_4)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f187,f138]) ).
fof(f268,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f179,f103]) ).
fof(f269,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f268,f51]) ).
fof(f270,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f269]) ).
fof(f273,plain,
( ~ product(e_1,e_3,e_4)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f176,f56]) ).
fof(f278,plain,
( ~ product(e_2,e_1,e_4)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f176,f67]) ).
fof(f284,plain,
( ~ product(e_1,e_2,e_4)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f173,f82]) ).
fof(f285,plain,
( $false
| ~ spl0_8
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f284,f187]) ).
fof(f286,plain,
( ~ spl0_8
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f285]) ).
fof(f293,plain,
( $false
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f204]) ).
fof(f294,plain,
( ~ spl0_13
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f293]) ).
fof(f320,plain,
( spl0_18
<=> product(e_3,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f321,plain,
( product(e_3,e_4,e_3)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f320]) ).
fof(f323,plain,
( spl0_19
<=> product(e_4,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f324,plain,
( product(e_4,e_4,e_3)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f323]) ).
fof(f328,plain,
( spl0_20
<=> product(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f329,plain,
( product(e_1,e_3,e_3)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( spl0_21
<=> product(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f332,plain,
( product(e_2,e_3,e_3)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( spl0_22
<=> product(e_3,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f337,plain,
( spl0_23
<=> product(e_4,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f338,plain,
( product(e_4,e_3,e_3)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f342,plain,
( spl0_24
<=> product(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f348,plain,
( spl0_26
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f349,plain,
( product(e_3,e_2,e_3)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f348]) ).
fof(f351,plain,
( spl0_27
<=> product(e_4,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( product(e_4,e_2,e_3)
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f351]) ).
fof(f356,plain,
( spl0_28
<=> product(e_1,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f357,plain,
( product(e_1,e_1,e_3)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f362,plain,
( spl0_30
<=> product(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f363,plain,
( product(e_3,e_1,e_3)
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f370,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f363,f122]) ).
fof(f371,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f370]) ).
fof(f372,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f349,f150]) ).
fof(f373,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f372]) ).
fof(f374,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f332,f149]) ).
fof(f375,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f374]) ).
fof(f376,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f329,f121]) ).
fof(f377,plain,
~ spl0_20,
inference(contradiction_clause,[status(thm)],[f376]) ).
fof(f378,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f324,f157]) ).
fof(f379,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f378]) ).
fof(f389,plain,
( spl0_35
<=> product(e_4,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f390,plain,
( product(e_4,e_4,e_2)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f397,plain,
( spl0_37
<=> product(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f398,plain,
( product(e_2,e_3,e_2)
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( spl0_38
<=> product(e_3,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f401,plain,
( product(e_3,e_3,e_2)
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( spl0_39
<=> product(e_4,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f404,plain,
( product(e_4,e_3,e_2)
| ~ spl0_39 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f408,plain,
( spl0_40
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( product(e_1,e_2,e_2)
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f417,plain,
( spl0_43
<=> product(e_4,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( product(e_4,e_2,e_2)
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f422,plain,
( spl0_44
<=> product(e_1,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f423,plain,
( product(e_1,e_1,e_2)
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( spl0_45
<=> product(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f426,plain,
( product(e_2,e_1,e_2)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( spl0_46
<=> product(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f429,plain,
( product(e_3,e_1,e_2)
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( spl0_47
<=> product(e_4,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( product(e_4,e_1,e_2)
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( product(e_1,e_1,e_2)
| product(e_2,e_1,e_2)
| product(e_3,e_1,e_2)
| product(e_4,e_1,e_2) ),
inference(resolution,[status(thm)],[f125,f28]) ).
fof(f435,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f434,f422,f425,f428,f431]) ).
fof(f436,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f426,f62]) ).
fof(f437,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f436]) ).
fof(f438,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f409,f61]) ).
fof(f439,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f438]) ).
fof(f440,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f401,f151]) ).
fof(f441,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f440]) ).
fof(f442,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f390,f154]) ).
fof(f443,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f442]) ).
fof(f444,plain,
( spl0_48
<=> product(e_1,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f445,plain,
( product(e_1,e_4,e_1)
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f453,plain,
( spl0_51
<=> product(e_4,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f454,plain,
( product(e_4,e_4,e_1)
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f458,plain,
( spl0_52
<=> product(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f459,plain,
( product(e_1,e_3,e_1)
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f464,plain,
( spl0_54
<=> product(e_3,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f465,plain,
( product(e_3,e_3,e_1)
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( spl0_55
<=> product(e_4,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( product(e_4,e_3,e_1)
| ~ spl0_55 ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f472,plain,
( spl0_56
<=> product(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f473,plain,
( product(e_1,e_2,e_1)
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( spl0_57
<=> product(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f476,plain,
( product(e_2,e_2,e_1)
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f481,plain,
( spl0_59
<=> product(e_4,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f482,plain,
( product(e_4,e_2,e_1)
| ~ spl0_59 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f486,plain,
( spl0_60
<=> product(e_1,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f489,plain,
( spl0_61
<=> product(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f490,plain,
( product(e_2,e_1,e_1)
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f489]) ).
fof(f492,plain,
( spl0_62
<=> product(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f493,plain,
( product(e_3,e_1,e_1)
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,plain,
( spl0_63
<=> product(e_4,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f496,plain,
( product(e_4,e_1,e_1)
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f495]) ).
fof(f500,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f476,f63]) ).
fof(f501,plain,
~ spl0_57,
inference(contradiction_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( $false
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f465,f145]) ).
fof(f503,plain,
~ spl0_54,
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( $false
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f454,f148]) ).
fof(f505,plain,
~ spl0_51,
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f506,plain,
( product(e_4,e_1,e_4)
| product(e_4,e_2,e_4)
| product(e_4,e_3,e_4)
| product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f127,f31]) ).
fof(f507,plain,
( spl0_15
| spl0_11
| spl0_7
| spl0_3 ),
inference(split_clause,[status(thm)],[f506,f209,f195,f181,f167]) ).
fof(f510,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_2,e_4)
| product(e_2,e_3,e_4)
| product(e_2,e_4,e_4) ),
inference(resolution,[status(thm)],[f127,f29]) ).
fof(f511,plain,
( spl0_13
| spl0_9
| spl0_5
| spl0_1 ),
inference(split_clause,[status(thm)],[f510,f203,f189,f175,f161]) ).
fof(f512,plain,
( product(e_1,e_1,e_4)
| product(e_1,e_2,e_4)
| product(e_1,e_3,e_4)
| product(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f127,f28]) ).
fof(f513,plain,
( spl0_12
| spl0_8
| spl0_4
| spl0_0 ),
inference(split_clause,[status(thm)],[f512,f200,f186,f172,f158]) ).
fof(f514,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f159,f146]) ).
fof(f515,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f162,f152]) ).
fof(f517,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f518,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f165,f155]) ).
fof(f519,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f552,plain,
( product(e_4,e_3,e_1)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f132,f31]) ).
fof(f553,plain,
( spl0_55
| spl0_39
| spl0_23
| spl0_7 ),
inference(split_clause,[status(thm)],[f552,f467,f403,f337,f181]) ).
fof(f554,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)],[f132,f30]) ).
fof(f555,plain,
( spl0_54
| spl0_38
| spl0_22
| spl0_6 ),
inference(split_clause,[status(thm)],[f554,f464,f400,f334,f178]) ).
fof(f560,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)],[f133,f31]) ).
fof(f561,plain,
( spl0_59
| spl0_43
| spl0_27
| spl0_11 ),
inference(split_clause,[status(thm)],[f560,f481,f417,f351,f195]) ).
fof(f566,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)],[f133,f28]) ).
fof(f567,plain,
( spl0_56
| spl0_40
| spl0_24
| spl0_8 ),
inference(split_clause,[status(thm)],[f566,f472,f408,f342,f186]) ).
fof(f574,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3)
| product(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f134,f28]) ).
fof(f575,plain,
( spl0_60
| spl0_44
| spl0_28
| spl0_12 ),
inference(split_clause,[status(thm)],[f574,f486,f422,f356,f200]) ).
fof(f579,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f357,f68]) ).
fof(f580,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f579,f51]) ).
fof(f581,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f580]) ).
fof(f584,plain,
( $false
| ~ spl0_5
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f273]) ).
fof(f585,plain,
( ~ spl0_5
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f584]) ).
fof(f588,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f190,f88]) ).
fof(f589,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f588,f51]) ).
fof(f590,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f338,f101]) ).
fof(f592,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f591,f51]) ).
fof(f593,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f592]) ).
fof(f598,plain,
( ~ product(e_3,e_3,e_3)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f321,f102]) ).
fof(f599,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f598,f51]) ).
fof(f600,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f599]) ).
fof(f606,plain,
( ~ product(e_4,e_4,e_4)
| ~ spl0_47
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f432,f251]) ).
fof(f607,plain,
( $false
| ~ spl0_47
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f51]) ).
fof(f608,plain,
( ~ spl0_47
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f607]) ).
fof(f609,plain,
( $false
| ~ spl0_14
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f429,f227]) ).
fof(f610,plain,
( ~ spl0_14
| ~ spl0_46 ),
inference(contradiction_clause,[status(thm)],[f609]) ).
fof(f614,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f423,f58]) ).
fof(f615,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f614,f51]) ).
fof(f616,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_43 ),
inference(resolution,[status(thm)],[f418,f86]) ).
fof(f618,plain,
( $false
| ~ spl0_43 ),
inference(forward_subsumption_resolution,[status(thm)],[f617,f51]) ).
fof(f619,plain,
~ spl0_43,
inference(contradiction_clause,[status(thm)],[f618]) ).
fof(f628,plain,
( ~ product(e_4,e_4,e_4)
| ~ spl0_39
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f404,f243]) ).
fof(f629,plain,
( $false
| ~ spl0_39
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f51]) ).
fof(f630,plain,
( ~ spl0_39
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f629]) ).
fof(f637,plain,
( ~ product(e_2,e_2,e_2)
| ~ spl0_37 ),
inference(resolution,[status(thm)],[f398,f82]) ).
fof(f638,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f637,f51]) ).
fof(f639,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f638]) ).
fof(f649,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_63 ),
inference(resolution,[status(thm)],[f496,f71]) ).
fof(f650,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f649,f51]) ).
fof(f651,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f650]) ).
fof(f655,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f493,f66]) ).
fof(f656,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f655,f51]) ).
fof(f657,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f656]) ).
fof(f659,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_61 ),
inference(resolution,[status(thm)],[f490,f56]) ).
fof(f660,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f659,f51]) ).
fof(f661,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f660]) ).
fof(f677,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f473,f57]) ).
fof(f678,plain,
( $false
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f51]) ).
fof(f679,plain,
~ spl0_56,
inference(contradiction_clause,[status(thm)],[f678]) ).
fof(f686,plain,
( ~ product(e_4,e_2,e_1)
| ~ spl0_55 ),
inference(resolution,[status(thm)],[f468,f82]) ).
fof(f687,plain,
( $false
| ~ spl0_59
| ~ spl0_55 ),
inference(forward_subsumption_resolution,[status(thm)],[f686,f482]) ).
fof(f688,plain,
( ~ spl0_59
| ~ spl0_55 ),
inference(contradiction_clause,[status(thm)],[f687]) ).
fof(f701,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f459,f67]) ).
fof(f702,plain,
( $false
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f701,f51]) ).
fof(f703,plain,
~ spl0_52,
inference(contradiction_clause,[status(thm)],[f702]) ).
fof(f727,plain,
( ~ product(e_1,e_1,e_1)
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f445,f72]) ).
fof(f728,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f727,f51]) ).
fof(f729,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f728]) ).
fof(f732,plain,
( ~ product(e_1,e_2,e_3)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f352,f71]) ).
fof(f733,plain,
( ~ spl0_24
| ~ spl0_27 ),
inference(split_clause,[status(thm)],[f732,f342,f351]) ).
fof(f742,plain,
$false,
inference(sat_refutation,[status(thm)],[f185,f199,f213,f215,f217,f219,f230,f237,f270,f286,f294,f371,f373,f375,f377,f379,f435,f437,f439,f441,f443,f501,f503,f505,f507,f511,f513,f515,f517,f519,f553,f555,f561,f567,f575,f581,f585,f590,f593,f600,f608,f610,f616,f619,f630,f639,f651,f657,f661,f679,f688,f703,f729,f733]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP124-4.004 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:28:50 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Drodi V3.5.1
% 0.19/0.38 % Refutation found
% 0.19/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.48/0.60 % Elapsed time: 0.045499 seconds
% 0.48/0.60 % CPU time: 0.264783 seconds
% 0.48/0.60 % Memory used: 6.072 MB
%------------------------------------------------------------------------------