TSTP Solution File: GRP124-7.004 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP124-7.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 12:10:31 EDT 2023
% Result : Unsatisfiable 0.20s 0.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 92
% Syntax : Number of formulae : 454 ( 111 unt; 0 def)
% Number of atoms : 916 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 941 ( 479 ~; 391 |; 0 &)
% ( 71 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 76 ( 75 usr; 72 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 198 (; 198 !; 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)
| product1(X,Y,e_1)
| product1(X,Y,e_2)
| product1(X,Y,e_3)
| product1(X,Y,e_4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y,W,Z] :
( ~ product1(X,Y,W)
| ~ product1(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,W,Y,Z] :
( ~ product1(X,W,Y)
| ~ product1(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [W,Y,X,Z] :
( ~ product1(W,Y,X)
| ~ product1(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product2(X,Y,e_1)
| product2(X,Y,e_2)
| product2(X,Y,e_3)
| product2(X,Y,e_4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X,Y,W,Z] :
( ~ product2(X,Y,W)
| ~ product2(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X,W,Y,Z] :
( ~ product2(X,W,Y)
| ~ product2(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [W,Y,X,Z] :
( ~ product2(W,Y,X)
| ~ product2(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X] : product2(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X,Y,Z1,Z2] :
( ~ product1(X,Y,Z1)
| ~ product1(Z1,X,Z2)
| product2(Z2,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f50,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f51,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f52,plain,
group_element(e_4),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f53,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f54,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f55,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f57,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f58,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f61,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f65,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3)
| product1(X0,X1,e_4) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f66,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product1(X,Y,W)
| ~ product1(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f68,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product1(X,W,Y)
| ~ product1(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f29]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f70,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product1(W,Y,X)
| ~ product1(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f72,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f73,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product2(X0,X1,e_1)
| product2(X0,X1,e_2)
| product2(X0,X1,e_3)
| product2(X0,X1,e_4) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f74,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product2(X,Y,W)
| ~ product2(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f33]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ~ product2(X0,X1,X2)
| ~ product2(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f76,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product2(X,W,Y)
| ~ product2(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f34]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( ~ product2(X0,X1,X2)
| ~ product2(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f78,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product2(W,Y,X)
| ~ product2(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f35]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( ~ product2(X0,X1,X2)
| ~ product2(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f80,plain,
! [X0] : product2(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f81,plain,
! [X,Y,Z2] :
( ! [Z1] :
( ~ product1(X,Y,Z1)
| ~ product1(Z1,X,Z2) )
| product2(Z2,Y,X) ),
inference(miniscoping,[status(esa)],[f37]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X2,X0,X3)
| product2(X3,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( ~ product1(X0,X1,X0)
| product2(X0,X1,X0) ),
inference(resolution,[status(thm)],[f72,f82]) ).
fof(f84,plain,
! [X0,X1] :
( ~ product2(e_1,X0,X1)
| ~ product2(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f53,f79]) ).
fof(f85,plain,
! [X0,X1] :
( ~ product2(X0,e_1,X1)
| ~ product2(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f53,f77]) ).
fof(f86,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_1)
| ~ product2(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f53,f75]) ).
fof(f87,plain,
! [X0,X1] :
( ~ product1(e_1,X0,X1)
| ~ product1(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f53,f71]) ).
fof(f88,plain,
! [X0,X1] :
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f53,f69]) ).
fof(f89,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_1)
| ~ product1(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f53,f67]) ).
fof(f90,plain,
! [X0,X1] :
( ~ product2(e_1,X0,X1)
| ~ product2(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f54,f79]) ).
fof(f91,plain,
! [X0,X1] :
( ~ product2(X0,e_1,X1)
| ~ product2(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f54,f77]) ).
fof(f92,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_1)
| ~ product2(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f54,f75]) ).
fof(f93,plain,
! [X0,X1] :
( ~ product1(e_1,X0,X1)
| ~ product1(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f54,f71]) ).
fof(f94,plain,
! [X0,X1] :
( ~ product1(X0,e_1,X1)
| ~ product1(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f54,f69]) ).
fof(f95,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_1)
| ~ product1(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f54,f67]) ).
fof(f96,plain,
! [X0,X1] :
( ~ product2(e_1,X0,X1)
| ~ product2(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f55,f79]) ).
fof(f97,plain,
! [X0,X1] :
( ~ product2(X0,e_1,X1)
| ~ product2(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f55,f77]) ).
fof(f98,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_1)
| ~ product2(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f55,f75]) ).
fof(f99,plain,
! [X0,X1] :
( ~ product1(e_1,X0,X1)
| ~ product1(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f55,f71]) ).
fof(f101,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_1)
| ~ product1(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f55,f67]) ).
fof(f108,plain,
! [X0,X1] :
( ~ product2(e_2,X0,X1)
| ~ product2(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f57,f79]) ).
fof(f109,plain,
! [X0,X1] :
( ~ product2(X0,e_2,X1)
| ~ product2(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f57,f77]) ).
fof(f110,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_2)
| ~ product2(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f57,f75]) ).
fof(f111,plain,
! [X0,X1] :
( ~ product1(e_2,X0,X1)
| ~ product1(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f57,f71]) ).
fof(f112,plain,
! [X0,X1] :
( ~ product1(X0,e_2,X1)
| ~ product1(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f57,f69]) ).
fof(f113,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_2)
| ~ product1(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f57,f67]) ).
fof(f114,plain,
! [X0,X1] :
( ~ product2(e_2,X0,X1)
| ~ product2(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f58,f79]) ).
fof(f115,plain,
! [X0,X1] :
( ~ product2(X0,e_2,X1)
| ~ product2(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f58,f77]) ).
fof(f116,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_2)
| ~ product2(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f58,f75]) ).
fof(f117,plain,
! [X0,X1] :
( ~ product1(e_2,X0,X1)
| ~ product1(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f58,f71]) ).
fof(f119,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_2)
| ~ product1(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f58,f67]) ).
fof(f132,plain,
! [X0,X1] :
( ~ product2(e_3,X0,X1)
| ~ product2(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f61,f79]) ).
fof(f133,plain,
! [X0,X1] :
( ~ product2(X0,e_3,X1)
| ~ product2(X0,e_4,X1) ),
inference(resolution,[status(thm)],[f61,f77]) ).
fof(f134,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_3)
| ~ product2(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f61,f75]) ).
fof(f135,plain,
! [X0,X1] :
( ~ product1(e_3,X0,X1)
| ~ product1(e_4,X0,X1) ),
inference(resolution,[status(thm)],[f61,f71]) ).
fof(f137,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_3)
| ~ product1(X0,X1,e_4) ),
inference(resolution,[status(thm)],[f61,f67]) ).
fof(f156,plain,
~ product2(e_1,e_2,e_2),
inference(resolution,[status(thm)],[f84,f80]) ).
fof(f163,plain,
! [X0] :
( ~ product2(X0,e_1,X0)
| ~ product1(X0,e_2,X0) ),
inference(resolution,[status(thm)],[f85,f83]) ).
fof(f165,plain,
~ product2(e_2,e_1,e_2),
inference(resolution,[status(thm)],[f163,f72]) ).
fof(f166,plain,
~ product1(e_2,e_1,e_2),
inference(resolution,[status(thm)],[f165,f83]) ).
fof(f172,plain,
! [X0,X1,X2] :
( ~ product2(X0,X1,e_1)
| ~ product1(e_2,X1,X2)
| ~ product1(X2,e_2,X0) ),
inference(resolution,[status(thm)],[f86,f82]) ).
fof(f174,plain,
! [X0] :
( ~ product2(X0,e_2,e_1)
| ~ product1(e_2,e_2,X0) ),
inference(resolution,[status(thm)],[f172,f72]) ).
fof(f175,plain,
~ product2(e_2,e_2,e_1),
inference(resolution,[status(thm)],[f174,f72]) ).
fof(f176,plain,
! [X0] :
( ~ product1(e_1,e_2,X0)
| ~ product1(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f175,f82]) ).
fof(f177,plain,
~ product1(e_1,e_2,e_2),
inference(resolution,[status(thm)],[f87,f72]) ).
fof(f179,plain,
~ product1(e_2,e_2,e_1),
inference(resolution,[status(thm)],[f89,f72]) ).
fof(f180,plain,
~ product2(e_1,e_3,e_3),
inference(resolution,[status(thm)],[f90,f80]) ).
fof(f187,plain,
! [X0] :
( ~ product2(X0,e_1,X0)
| ~ product1(X0,e_3,X0) ),
inference(resolution,[status(thm)],[f91,f83]) ).
fof(f189,plain,
~ product2(e_3,e_1,e_3),
inference(resolution,[status(thm)],[f187,f72]) ).
fof(f191,plain,
~ product1(e_3,e_1,e_3),
inference(resolution,[status(thm)],[f189,f83]) ).
fof(f194,plain,
~ product2(e_3,e_3,e_1),
inference(resolution,[status(thm)],[f92,f80]) ).
fof(f197,plain,
! [X0] :
( ~ product1(e_1,e_3,X0)
| ~ product1(X0,e_1,e_3) ),
inference(resolution,[status(thm)],[f194,f82]) ).
fof(f198,plain,
~ product1(e_1,e_3,e_3),
inference(resolution,[status(thm)],[f93,f72]) ).
fof(f200,plain,
~ product1(e_3,e_3,e_1),
inference(resolution,[status(thm)],[f95,f72]) ).
fof(f201,plain,
~ product2(e_1,e_4,e_4),
inference(resolution,[status(thm)],[f96,f80]) ).
fof(f205,plain,
~ product2(e_4,e_1,e_4),
inference(resolution,[status(thm)],[f97,f80]) ).
fof(f206,plain,
! [X0] :
( ~ product2(X0,e_1,X0)
| ~ product1(X0,e_4,X0) ),
inference(resolution,[status(thm)],[f97,f83]) ).
fof(f208,plain,
~ product1(e_4,e_1,e_4),
inference(resolution,[status(thm)],[f205,f83]) ).
fof(f210,plain,
~ product2(e_4,e_4,e_1),
inference(resolution,[status(thm)],[f98,f80]) ).
fof(f213,plain,
~ product1(e_1,e_4,e_4),
inference(resolution,[status(thm)],[f99,f72]) ).
fof(f216,plain,
~ product1(e_4,e_4,e_1),
inference(resolution,[status(thm)],[f101,f72]) ).
fof(f217,plain,
~ product2(e_2,e_3,e_3),
inference(resolution,[status(thm)],[f108,f80]) ).
fof(f222,plain,
! [X0] :
( ~ product2(X0,e_2,X0)
| ~ product1(X0,e_3,X0) ),
inference(resolution,[status(thm)],[f109,f83]) ).
fof(f223,plain,
! [X0,X1,X2] :
( ~ product2(X0,e_2,X1)
| ~ product1(X1,e_3,X2)
| ~ product1(X2,X1,X0) ),
inference(resolution,[status(thm)],[f109,f82]) ).
fof(f224,plain,
! [X0] :
( ~ group_element(X0)
| product1(X0,e_4,e_1)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_3)
| product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f65,f52]) ).
fof(f225,plain,
! [X0] :
( ~ group_element(X0)
| product1(X0,e_3,e_1)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_3)
| product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f65,f51]) ).
fof(f226,plain,
! [X0] :
( ~ group_element(X0)
| product1(X0,e_2,e_1)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_3)
| product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f65,f50]) ).
fof(f227,plain,
! [X0] :
( ~ group_element(X0)
| product1(X0,e_1,e_1)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_3)
| product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f65,f49]) ).
fof(f228,plain,
! [X0] :
( ~ group_element(X0)
| product2(X0,e_4,e_1)
| product2(X0,e_4,e_2)
| product2(X0,e_4,e_3)
| product2(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f73,f52]) ).
fof(f234,plain,
! [X0,X1,X2] :
( ~ product2(X0,X1,e_2)
| ~ product1(e_3,X1,X2)
| ~ product1(X2,e_3,X0) ),
inference(resolution,[status(thm)],[f110,f82]) ).
fof(f236,plain,
~ product2(e_3,e_2,e_3),
inference(resolution,[status(thm)],[f222,f72]) ).
fof(f237,plain,
~ product1(e_3,e_2,e_3),
inference(resolution,[status(thm)],[f236,f83]) ).
fof(f254,plain,
! [X0] :
( ~ product2(X0,e_3,e_2)
| ~ product1(e_3,e_3,X0) ),
inference(resolution,[status(thm)],[f234,f72]) ).
fof(f255,plain,
~ product2(e_3,e_3,e_2),
inference(resolution,[status(thm)],[f254,f72]) ).
fof(f256,plain,
! [X0] :
( ~ product1(e_2,e_3,X0)
| ~ product1(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f255,f82]) ).
fof(f257,plain,
~ product1(e_2,e_3,e_3),
inference(resolution,[status(thm)],[f111,f72]) ).
fof(f259,plain,
~ product1(e_3,e_3,e_2),
inference(resolution,[status(thm)],[f113,f72]) ).
fof(f260,plain,
~ product2(e_2,e_4,e_4),
inference(resolution,[status(thm)],[f114,f80]) ).
fof(f264,plain,
~ product2(e_4,e_2,e_4),
inference(resolution,[status(thm)],[f115,f80]) ).
fof(f267,plain,
~ product1(e_4,e_2,e_4),
inference(resolution,[status(thm)],[f264,f83]) ).
fof(f269,plain,
~ product2(e_4,e_4,e_2),
inference(resolution,[status(thm)],[f116,f80]) ).
fof(f273,plain,
~ product1(e_2,e_4,e_4),
inference(resolution,[status(thm)],[f117,f72]) ).
fof(f275,plain,
~ product1(e_4,e_4,e_2),
inference(resolution,[status(thm)],[f119,f72]) ).
fof(f276,plain,
~ product2(e_3,e_4,e_4),
inference(resolution,[status(thm)],[f132,f80]) ).
fof(f280,plain,
~ product2(e_4,e_3,e_4),
inference(resolution,[status(thm)],[f133,f80]) ).
fof(f281,plain,
! [X0] :
( ~ product2(X0,e_3,X0)
| ~ product1(X0,e_4,X0) ),
inference(resolution,[status(thm)],[f133,f83]) ).
fof(f283,plain,
~ product1(e_4,e_3,e_4),
inference(resolution,[status(thm)],[f280,f83]) ).
fof(f286,plain,
! [X0] :
( ~ product2(e_4,X0,e_3)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f134,f83]) ).
fof(f287,plain,
! [X0,X1,X2] :
( ~ product2(X0,X1,e_3)
| ~ product1(e_4,X1,X2)
| ~ product1(X2,e_4,X0) ),
inference(resolution,[status(thm)],[f134,f82]) ).
fof(f288,plain,
~ product1(e_3,e_4,e_4),
inference(resolution,[status(thm)],[f135,f72]) ).
fof(f296,plain,
! [X0,X1] :
( ~ product1(e_4,X0,e_4)
| ~ product1(e_3,X0,X1)
| ~ product1(X1,e_3,e_4) ),
inference(resolution,[status(thm)],[f286,f82]) ).
fof(f304,plain,
! [X0] :
( ~ product2(X0,e_4,e_3)
| ~ product1(e_4,e_4,X0) ),
inference(resolution,[status(thm)],[f287,f72]) ).
fof(f305,plain,
~ product2(e_4,e_4,e_3),
inference(resolution,[status(thm)],[f304,f72]) ).
fof(f306,plain,
! [X0] :
( ~ product1(e_3,e_4,X0)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f305,f82]) ).
fof(f307,plain,
~ product1(e_4,e_4,e_3),
inference(resolution,[status(thm)],[f137,f72]) ).
fof(f308,plain,
( spl0_0
<=> product1(e_4,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f309,plain,
( product1(e_4,e_4,e_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,plain,
( spl0_1
<=> product1(e_4,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f312,plain,
( product1(e_4,e_4,e_2)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( spl0_2
<=> product1(e_4,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f315,plain,
( product1(e_4,e_4,e_3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,plain,
( spl0_3
<=> product1(e_4,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f320,plain,
( product1(e_4,e_4,e_1)
| product1(e_4,e_4,e_2)
| product1(e_4,e_4,e_3)
| product1(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f224,f52]) ).
fof(f321,plain,
( spl0_0
| spl0_1
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f320,f308,f311,f314,f317]) ).
fof(f322,plain,
( spl0_4
<=> product1(e_3,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f323,plain,
( product1(e_3,e_4,e_1)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( spl0_5
<=> product1(e_3,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f326,plain,
( product1(e_3,e_4,e_2)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,plain,
( spl0_6
<=> product1(e_3,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f329,plain,
( product1(e_3,e_4,e_3)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f331,plain,
( spl0_7
<=> product1(e_3,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f332,plain,
( product1(e_3,e_4,e_4)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f331]) ).
fof(f334,plain,
( product1(e_3,e_4,e_1)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f224,f51]) ).
fof(f335,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f334,f322,f325,f328,f331]) ).
fof(f345,plain,
( spl0_11
<=> product1(e_2,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f346,plain,
( product1(e_2,e_4,e_4)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f350,plain,
( spl0_12
<=> product1(e_1,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f351,plain,
( product1(e_1,e_4,e_1)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( spl0_13
<=> product1(e_1,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f354,plain,
( product1(e_1,e_4,e_2)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( spl0_14
<=> product1(e_1,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f357,plain,
( product1(e_1,e_4,e_3)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( spl0_15
<=> product1(e_1,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f360,plain,
( product1(e_1,e_4,e_4)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( product1(e_1,e_4,e_1)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_4) ),
inference(resolution,[status(thm)],[f224,f49]) ).
fof(f363,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f362,f350,f353,f356,f359]) ).
fof(f364,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f360,f213]) ).
fof(f365,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f364]) ).
fof(f366,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f346,f273]) ).
fof(f367,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f366]) ).
fof(f368,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f332,f288]) ).
fof(f369,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f368]) ).
fof(f370,plain,
( spl0_16
<=> product1(e_4,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f371,plain,
( product1(e_4,e_3,e_1)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,plain,
( spl0_17
<=> product1(e_4,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f374,plain,
( product1(e_4,e_3,e_2)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,plain,
( spl0_18
<=> product1(e_4,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f377,plain,
( product1(e_4,e_3,e_3)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,plain,
( spl0_19
<=> product1(e_4,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( product1(e_4,e_3,e_4)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f225,f52]) ).
fof(f383,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f382,f370,f373,f376,f379]) ).
fof(f384,plain,
( spl0_20
<=> product1(e_3,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( product1(e_3,e_3,e_1)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( spl0_21
<=> product1(e_3,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f388,plain,
( product1(e_3,e_3,e_2)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( spl0_22
<=> product1(e_3,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f393,plain,
( spl0_23
<=> product1(e_3,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( product1(e_3,e_3,e_4)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( product1(e_3,e_3,e_1)
| product1(e_3,e_3,e_2)
| product1(e_3,e_3,e_3)
| product1(e_3,e_3,e_4) ),
inference(resolution,[status(thm)],[f225,f51]) ).
fof(f397,plain,
( spl0_20
| spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f396,f384,f387,f390,f393]) ).
fof(f398,plain,
( spl0_24
<=> product1(e_2,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f399,plain,
( product1(e_2,e_3,e_1)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( spl0_25
<=> product1(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f402,plain,
( product1(e_2,e_3,e_2)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( spl0_26
<=> product1(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f405,plain,
( product1(e_2,e_3,e_3)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( spl0_27
<=> product1(e_2,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f408,plain,
( product1(e_2,e_3,e_4)
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_4) ),
inference(resolution,[status(thm)],[f225,f50]) ).
fof(f411,plain,
( spl0_24
| spl0_25
| spl0_26
| spl0_27 ),
inference(split_clause,[status(thm)],[f410,f398,f401,f404,f407]) ).
fof(f412,plain,
( spl0_28
<=> product1(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f413,plain,
( product1(e_1,e_3,e_1)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( spl0_29
<=> product1(e_1,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f416,plain,
( product1(e_1,e_3,e_2)
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( spl0_30
<=> product1(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( product1(e_1,e_3,e_3)
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( spl0_31
<=> product1(e_1,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f422,plain,
( product1(e_1,e_3,e_4)
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f225,f49]) ).
fof(f425,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f424,f412,f415,f418,f421]) ).
fof(f426,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f419,f198]) ).
fof(f427,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f426]) ).
fof(f428,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f257]) ).
fof(f429,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f428]) ).
fof(f430,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f388,f259]) ).
fof(f431,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f430]) ).
fof(f432,plain,
( $false
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f200]) ).
fof(f433,plain,
~ spl0_20,
inference(contradiction_clause,[status(thm)],[f432]) ).
fof(f434,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f380,f283]) ).
fof(f435,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f434]) ).
fof(f436,plain,
( spl0_32
<=> product1(e_4,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f437,plain,
( product1(e_4,e_2,e_1)
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( spl0_33
<=> product1(e_4,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f440,plain,
( product1(e_4,e_2,e_2)
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( spl0_34
<=> product1(e_4,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f443,plain,
( product1(e_4,e_2,e_3)
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( spl0_35
<=> product1(e_4,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f446,plain,
( product1(e_4,e_2,e_4)
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( product1(e_4,e_2,e_1)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f226,f52]) ).
fof(f449,plain,
( spl0_32
| spl0_33
| spl0_34
| spl0_35 ),
inference(split_clause,[status(thm)],[f448,f436,f439,f442,f445]) ).
fof(f453,plain,
( spl0_37
<=> product1(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f454,plain,
( product1(e_3,e_2,e_2)
| ~ spl0_37 ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( spl0_38
<=> product1(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f457,plain,
( product1(e_3,e_2,e_3)
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f464,plain,
( spl0_40
<=> product1(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f465,plain,
( product1(e_2,e_2,e_1)
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f478,plain,
( spl0_44
<=> product1(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f479,plain,
( product1(e_1,e_2,e_1)
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( spl0_45
<=> product1(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f482,plain,
( product1(e_1,e_2,e_2)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,plain,
( spl0_46
<=> product1(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f485,plain,
( product1(e_1,e_2,e_3)
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,plain,
( spl0_47
<=> product1(e_1,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f488,plain,
( product1(e_1,e_2,e_4)
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_4) ),
inference(resolution,[status(thm)],[f226,f49]) ).
fof(f491,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f490,f478,f481,f484,f487]) ).
fof(f492,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f482,f177]) ).
fof(f493,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f492]) ).
fof(f494,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f465,f179]) ).
fof(f495,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f494]) ).
fof(f496,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f457,f237]) ).
fof(f497,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f267]) ).
fof(f499,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f498]) ).
fof(f500,plain,
( spl0_48
<=> product1(e_4,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f501,plain,
( product1(e_4,e_1,e_1)
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( spl0_49
<=> product1(e_4,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f504,plain,
( product1(e_4,e_1,e_2)
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( spl0_50
<=> product1(e_4,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f507,plain,
( product1(e_4,e_1,e_3)
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( spl0_51
<=> product1(e_4,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( product1(e_4,e_1,e_4)
| ~ spl0_51 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f227,f52]) ).
fof(f513,plain,
( spl0_48
| spl0_49
| spl0_50
| spl0_51 ),
inference(split_clause,[status(thm)],[f512,f500,f503,f506,f509]) ).
fof(f514,plain,
( spl0_52
<=> product1(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f515,plain,
( product1(e_3,e_1,e_1)
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f520,plain,
( spl0_54
<=> product1(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f521,plain,
( product1(e_3,e_1,e_3)
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f528,plain,
( spl0_56
<=> product1(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f529,plain,
( product1(e_2,e_1,e_1)
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( spl0_57
<=> product1(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f532,plain,
( product1(e_2,e_1,e_2)
| ~ spl0_57 ),
inference(component_clause,[status(thm)],[f531]) ).
fof(f542,plain,
( spl0_60
<=> product1(e_1,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f545,plain,
( spl0_61
<=> product1(e_1,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f546,plain,
( product1(e_1,e_1,e_2)
| ~ spl0_61 ),
inference(component_clause,[status(thm)],[f545]) ).
fof(f548,plain,
( spl0_62
<=> product1(e_1,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f549,plain,
( product1(e_1,e_1,e_3)
| ~ spl0_62 ),
inference(component_clause,[status(thm)],[f548]) ).
fof(f551,plain,
( spl0_63
<=> product1(e_1,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f552,plain,
( product1(e_1,e_1,e_4)
| ~ spl0_63 ),
inference(component_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( product1(e_1,e_1,e_1)
| product1(e_1,e_1,e_2)
| product1(e_1,e_1,e_3)
| product1(e_1,e_1,e_4) ),
inference(resolution,[status(thm)],[f227,f49]) ).
fof(f555,plain,
( spl0_60
| spl0_61
| spl0_62
| spl0_63 ),
inference(split_clause,[status(thm)],[f554,f542,f545,f548,f551]) ).
fof(f556,plain,
( $false
| ~ spl0_57 ),
inference(forward_subsumption_resolution,[status(thm)],[f532,f166]) ).
fof(f557,plain,
~ spl0_57,
inference(contradiction_clause,[status(thm)],[f556]) ).
fof(f558,plain,
( $false
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f521,f191]) ).
fof(f559,plain,
~ spl0_54,
inference(contradiction_clause,[status(thm)],[f558]) ).
fof(f560,plain,
( $false
| ~ spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f510,f208]) ).
fof(f561,plain,
~ spl0_51,
inference(contradiction_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( spl0_64
<=> product2(e_4,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f563,plain,
( product2(e_4,e_4,e_1)
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f562]) ).
fof(f565,plain,
( spl0_65
<=> product2(e_4,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f566,plain,
( product2(e_4,e_4,e_2)
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f565]) ).
fof(f568,plain,
( spl0_66
<=> product2(e_4,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f569,plain,
( product2(e_4,e_4,e_3)
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f568]) ).
fof(f571,plain,
( spl0_67
<=> product2(e_4,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f574,plain,
( product2(e_4,e_4,e_1)
| product2(e_4,e_4,e_2)
| product2(e_4,e_4,e_3)
| product2(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f228,f52]) ).
fof(f575,plain,
( spl0_64
| spl0_65
| spl0_66
| spl0_67 ),
inference(split_clause,[status(thm)],[f574,f562,f565,f568,f571]) ).
fof(f585,plain,
( spl0_71
<=> product2(e_3,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f586,plain,
( product2(e_3,e_4,e_4)
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f599,plain,
( spl0_75
<=> product2(e_2,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f600,plain,
( product2(e_2,e_4,e_4)
| ~ spl0_75 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f613,plain,
( spl0_79
<=> product2(e_1,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f614,plain,
( product2(e_1,e_4,e_4)
| ~ spl0_79 ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f618,plain,
( $false
| ~ spl0_79 ),
inference(forward_subsumption_resolution,[status(thm)],[f614,f201]) ).
fof(f619,plain,
~ spl0_79,
inference(contradiction_clause,[status(thm)],[f618]) ).
fof(f620,plain,
( $false
| ~ spl0_75 ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f260]) ).
fof(f621,plain,
~ spl0_75,
inference(contradiction_clause,[status(thm)],[f620]) ).
fof(f622,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f586,f276]) ).
fof(f623,plain,
~ spl0_71,
inference(contradiction_clause,[status(thm)],[f622]) ).
fof(f624,plain,
( $false
| ~ spl0_66 ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f305]) ).
fof(f625,plain,
~ spl0_66,
inference(contradiction_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( $false
| ~ spl0_65 ),
inference(forward_subsumption_resolution,[status(thm)],[f566,f269]) ).
fof(f627,plain,
~ spl0_65,
inference(contradiction_clause,[status(thm)],[f626]) ).
fof(f628,plain,
( $false
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f563,f210]) ).
fof(f629,plain,
~ spl0_64,
inference(contradiction_clause,[status(thm)],[f628]) ).
fof(f639,plain,
( spl0_83
<=> product2(e_4,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f640,plain,
( product2(e_4,e_3,e_4)
| ~ spl0_83 ),
inference(component_clause,[status(thm)],[f639]) ).
fof(f644,plain,
( spl0_84
<=> product2(e_3,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f645,plain,
( product2(e_3,e_3,e_1)
| ~ spl0_84 ),
inference(component_clause,[status(thm)],[f644]) ).
fof(f647,plain,
( spl0_85
<=> product2(e_3,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f648,plain,
( product2(e_3,e_3,e_2)
| ~ spl0_85 ),
inference(component_clause,[status(thm)],[f647]) ).
fof(f664,plain,
( spl0_90
<=> product2(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f665,plain,
( product2(e_2,e_3,e_3)
| ~ spl0_90 ),
inference(component_clause,[status(thm)],[f664]) ).
fof(f678,plain,
( spl0_94
<=> product2(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f679,plain,
( product2(e_1,e_3,e_3)
| ~ spl0_94 ),
inference(component_clause,[status(thm)],[f678]) ).
fof(f686,plain,
( $false
| ~ spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f679,f180]) ).
fof(f687,plain,
~ spl0_94,
inference(contradiction_clause,[status(thm)],[f686]) ).
fof(f688,plain,
( $false
| ~ spl0_90 ),
inference(forward_subsumption_resolution,[status(thm)],[f665,f217]) ).
fof(f689,plain,
~ spl0_90,
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f690,plain,
( $false
| ~ spl0_85 ),
inference(forward_subsumption_resolution,[status(thm)],[f648,f255]) ).
fof(f691,plain,
~ spl0_85,
inference(contradiction_clause,[status(thm)],[f690]) ).
fof(f692,plain,
( $false
| ~ spl0_84 ),
inference(forward_subsumption_resolution,[status(thm)],[f645,f194]) ).
fof(f693,plain,
~ spl0_84,
inference(contradiction_clause,[status(thm)],[f692]) ).
fof(f694,plain,
( $false
| ~ spl0_83 ),
inference(forward_subsumption_resolution,[status(thm)],[f640,f280]) ).
fof(f695,plain,
~ spl0_83,
inference(contradiction_clause,[status(thm)],[f694]) ).
fof(f705,plain,
( spl0_99
<=> product2(e_4,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f706,plain,
( product2(e_4,e_2,e_4)
| ~ spl0_99 ),
inference(component_clause,[status(thm)],[f705]) ).
fof(f716,plain,
( spl0_102
<=> product2(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f717,plain,
( product2(e_3,e_2,e_3)
| ~ spl0_102 ),
inference(component_clause,[status(thm)],[f716]) ).
fof(f724,plain,
( spl0_104
<=> product2(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f725,plain,
( product2(e_2,e_2,e_1)
| ~ spl0_104 ),
inference(component_clause,[status(thm)],[f724]) ).
fof(f741,plain,
( spl0_109
<=> product2(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f742,plain,
( product2(e_1,e_2,e_2)
| ~ spl0_109 ),
inference(component_clause,[status(thm)],[f741]) ).
fof(f752,plain,
( $false
| ~ spl0_109 ),
inference(forward_subsumption_resolution,[status(thm)],[f742,f156]) ).
fof(f753,plain,
~ spl0_109,
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f754,plain,
( $false
| ~ spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f725,f175]) ).
fof(f755,plain,
~ spl0_104,
inference(contradiction_clause,[status(thm)],[f754]) ).
fof(f756,plain,
( $false
| ~ spl0_102 ),
inference(forward_subsumption_resolution,[status(thm)],[f717,f236]) ).
fof(f757,plain,
~ spl0_102,
inference(contradiction_clause,[status(thm)],[f756]) ).
fof(f758,plain,
( $false
| ~ spl0_99 ),
inference(forward_subsumption_resolution,[status(thm)],[f706,f264]) ).
fof(f759,plain,
~ spl0_99,
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f769,plain,
( spl0_115
<=> product2(e_4,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f770,plain,
( product2(e_4,e_1,e_4)
| ~ spl0_115 ),
inference(component_clause,[status(thm)],[f769]) ).
fof(f780,plain,
( spl0_118
<=> product2(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f781,plain,
( product2(e_3,e_1,e_3)
| ~ spl0_118 ),
inference(component_clause,[status(thm)],[f780]) ).
fof(f791,plain,
( spl0_121
<=> product2(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f792,plain,
( product2(e_2,e_1,e_2)
| ~ spl0_121 ),
inference(component_clause,[status(thm)],[f791]) ).
fof(f816,plain,
( $false
| ~ spl0_121 ),
inference(forward_subsumption_resolution,[status(thm)],[f792,f165]) ).
fof(f817,plain,
~ spl0_121,
inference(contradiction_clause,[status(thm)],[f816]) ).
fof(f818,plain,
( $false
| ~ spl0_118 ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f189]) ).
fof(f819,plain,
~ spl0_118,
inference(contradiction_clause,[status(thm)],[f818]) ).
fof(f820,plain,
( $false
| ~ spl0_115 ),
inference(forward_subsumption_resolution,[status(thm)],[f770,f205]) ).
fof(f821,plain,
~ spl0_115,
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f831,plain,
( ~ product1(e_1,e_4,e_2)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f357,f113]) ).
fof(f836,plain,
( $false
| ~ spl0_14
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f354,f831]) ).
fof(f837,plain,
( ~ spl0_14
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f836]) ).
fof(f848,plain,
( ~ product2(e_1,e_1,e_1)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f351,f206]) ).
fof(f849,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f848,f80]) ).
fof(f850,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f849]) ).
fof(f890,plain,
( ~ product2(e_3,e_3,e_3)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f329,f281]) ).
fof(f891,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f890,f80]) ).
fof(f892,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f891]) ).
fof(f909,plain,
( ~ product1(e_1,e_3,e_4)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f323,f306]) ).
fof(f913,plain,
( ~ product1(e_4,e_1,e_3)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f422,f197]) ).
fof(f942,plain,
( ~ product1(e_1,e_1,e_1)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f413,f94]) ).
fof(f943,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f942,f72]) ).
fof(f944,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f943]) ).
fof(f945,plain,
( ~ product1(e_4,e_2,e_3)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f408,f256]) ).
fof(f953,plain,
( ~ product1(e_1,e_2,e_3)
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f399,f256]) ).
fof(f976,plain,
( ~ product1(e_3,e_3,e_3)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f394,f137]) ).
fof(f977,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f976,f72]) ).
fof(f978,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f977]) ).
fof(f982,plain,
( ~ product1(e_3,e_3,e_3)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f377,f135]) ).
fof(f983,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f982,f72]) ).
fof(f984,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f983]) ).
fof(f991,plain,
( ~ product1(e_1,e_3,e_2)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f374,f99]) ).
fof(f992,plain,
( $false
| ~ spl0_29
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f991,f416]) ).
fof(f993,plain,
( ~ spl0_29
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f992]) ).
fof(f998,plain,
( ~ product1(e_2,e_3,e_1)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f371,f117]) ).
fof(f999,plain,
( $false
| ~ spl0_24
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f998,f399]) ).
fof(f1000,plain,
( ~ spl0_24
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1005,plain,
( ~ product1(e_4,e_2,e_1)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f371,f112]) ).
fof(f1011,plain,
! [X0] :
( ~ product1(e_4,X0,e_4)
| ~ product1(e_3,X0,e_2)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f408,f296]) ).
fof(f1013,plain,
! [X0] :
( ~ product2(X0,e_2,e_2)
| ~ product1(e_4,e_2,X0)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f408,f223]) ).
fof(f1023,plain,
( ~ product1(e_4,e_1,e_2)
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f488,f176]) ).
fof(f1046,plain,
( ~ product1(e_1,e_1,e_1)
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f479,f88]) ).
fof(f1047,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f1046,f72]) ).
fof(f1048,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f1047]) ).
fof(f1059,plain,
( ~ product1(e_3,e_4,e_2)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f1011,f72]) ).
fof(f1060,plain,
( $false
| ~ spl0_5
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1059,f326]) ).
fof(f1061,plain,
( ~ spl0_5
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f1060]) ).
fof(f1099,plain,
( ~ product1(e_2,e_2,e_2)
| ~ spl0_37 ),
inference(resolution,[status(thm)],[f454,f111]) ).
fof(f1100,plain,
( $false
| ~ spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f1099,f72]) ).
fof(f1101,plain,
~ spl0_37,
inference(contradiction_clause,[status(thm)],[f1100]) ).
fof(f1114,plain,
( $false
| ~ spl0_27
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f443,f945]) ).
fof(f1115,plain,
( ~ spl0_27
| ~ spl0_34 ),
inference(contradiction_clause,[status(thm)],[f1114]) ).
fof(f1117,plain,
( ~ product2(e_2,e_2,e_2)
| ~ spl0_33
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f440,f1013]) ).
fof(f1118,plain,
( $false
| ~ spl0_33
| ~ spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f1117,f80]) ).
fof(f1119,plain,
( ~ spl0_33
| ~ spl0_27 ),
inference(contradiction_clause,[status(thm)],[f1118]) ).
fof(f1120,plain,
( $false
| ~ spl0_16
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f1005]) ).
fof(f1121,plain,
( ~ spl0_16
| ~ spl0_32 ),
inference(contradiction_clause,[status(thm)],[f1120]) ).
fof(f1122,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f315,f307]) ).
fof(f1123,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f1122]) ).
fof(f1124,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f312,f275]) ).
fof(f1125,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f1124]) ).
fof(f1126,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f309,f216]) ).
fof(f1127,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f1126]) ).
fof(f1129,plain,
( $false
| ~ spl0_4
| ~ spl0_31 ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f909]) ).
fof(f1130,plain,
( ~ spl0_4
| ~ spl0_31 ),
inference(contradiction_clause,[status(thm)],[f1129]) ).
fof(f1131,plain,
( $false
| ~ spl0_46
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f953,f485]) ).
fof(f1132,plain,
( ~ spl0_46
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f1131]) ).
fof(f1146,plain,
( ~ product1(e_2,e_2,e_2)
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f402,f112]) ).
fof(f1147,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f1146,f72]) ).
fof(f1148,plain,
~ spl0_25,
inference(contradiction_clause,[status(thm)],[f1147]) ).
fof(f1158,plain,
( ~ product1(e_1,e_1,e_1)
| ~ spl0_63 ),
inference(resolution,[status(thm)],[f552,f101]) ).
fof(f1159,plain,
( $false
| ~ spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f1158,f72]) ).
fof(f1160,plain,
~ spl0_63,
inference(contradiction_clause,[status(thm)],[f1159]) ).
fof(f1164,plain,
( ~ product1(e_1,e_1,e_1)
| ~ spl0_62 ),
inference(resolution,[status(thm)],[f549,f95]) ).
fof(f1165,plain,
( $false
| ~ spl0_62 ),
inference(forward_subsumption_resolution,[status(thm)],[f1164,f72]) ).
fof(f1166,plain,
~ spl0_62,
inference(contradiction_clause,[status(thm)],[f1165]) ).
fof(f1168,plain,
( ~ product1(e_1,e_1,e_1)
| ~ spl0_61 ),
inference(resolution,[status(thm)],[f546,f89]) ).
fof(f1169,plain,
( $false
| ~ spl0_61 ),
inference(forward_subsumption_resolution,[status(thm)],[f1168,f72]) ).
fof(f1170,plain,
~ spl0_61,
inference(contradiction_clause,[status(thm)],[f1169]) ).
fof(f1192,plain,
( ~ product1(e_1,e_1,e_1)
| ~ spl0_56 ),
inference(resolution,[status(thm)],[f529,f87]) ).
fof(f1193,plain,
( $false
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f1192,f72]) ).
fof(f1194,plain,
~ spl0_56,
inference(contradiction_clause,[status(thm)],[f1193]) ).
fof(f1212,plain,
( ~ product1(e_1,e_1,e_1)
| ~ spl0_52 ),
inference(resolution,[status(thm)],[f515,f93]) ).
fof(f1213,plain,
( $false
| ~ spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f1212,f72]) ).
fof(f1214,plain,
~ spl0_52,
inference(contradiction_clause,[status(thm)],[f1213]) ).
fof(f1234,plain,
( ~ product1(e_1,e_1,e_1)
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f501,f99]) ).
fof(f1235,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1234,f72]) ).
fof(f1236,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f1235]) ).
fof(f1271,plain,
( $false
| ~ spl0_31
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f507,f913]) ).
fof(f1272,plain,
( ~ spl0_31
| ~ spl0_50 ),
inference(contradiction_clause,[status(thm)],[f1271]) ).
fof(f1273,plain,
( $false
| ~ spl0_47
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f504,f1023]) ).
fof(f1274,plain,
( ~ spl0_47
| ~ spl0_49 ),
inference(contradiction_clause,[status(thm)],[f1273]) ).
fof(f1275,plain,
$false,
inference(sat_refutation,[status(thm)],[f321,f335,f363,f365,f367,f369,f383,f397,f411,f425,f427,f429,f431,f433,f435,f449,f491,f493,f495,f497,f499,f513,f555,f557,f559,f561,f575,f619,f621,f623,f625,f627,f629,f687,f689,f691,f693,f695,f753,f755,f757,f759,f817,f819,f821,f837,f850,f892,f944,f978,f984,f993,f1000,f1048,f1061,f1101,f1115,f1119,f1121,f1123,f1125,f1127,f1130,f1132,f1148,f1160,f1166,f1170,f1194,f1214,f1236,f1272,f1274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP124-7.004 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n019.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 11:32:25 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.40 % Refutation found
% 0.20/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.41 % Elapsed time: 0.059988 seconds
% 0.20/0.41 % CPU time: 0.368057 seconds
% 0.20/0.41 % Memory used: 7.279 MB
%------------------------------------------------------------------------------