%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP124-9.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:32:43 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.52s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 91
% Syntax : Number of formulae : 431 ( 112 unt; 70 def)
% Number of atoms : 855 ( 0 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 861 ( 437 ~; 354 |; 0 &)
% ( 70 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 75 ( 74 usr; 71 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 175 ( 175 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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] :
( product1(X,Y,e_4)
| product1(X,Y,e_3)
| product1(X,Y,e_2)
| product1(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X,Y] :
( product2(X,Y,e_4)
| product2(X,Y,e_3)
| product2(X,Y,e_2)
| product2(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X] : product2(X,X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X,Y,Z1,Z2] :
( product2(Z2,Y,X)
| ~ product1(Z1,X,Z2)
| ~ product1(X,Y,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f33,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f34,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f35,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f36,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f37,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f38,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f40,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f41,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f44,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f48,plain,
! [X0,X1] :
( product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f49,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product1(X0,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f56,plain,
! [X0,X1] :
( product2(X0,X1,e_4)
| product2(X0,X1,e_3)
| product2(X0,X1,e_2)
| product2(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f57,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [X0] : product2(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f64,plain,
! [X,Y,Z2] :
( product2(Z2,Y,X)
| ! [Z1] :
( ~ product1(Z1,X,Z2)
| ~ product1(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( product2(X3,X1,X0)
| ~ product1(X2,X0,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f76,plain,
! [X0,X1] :
( ~ product2(e_2,X0,X1)
| ~ product2(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f36,f62]) ).
fof(f77,plain,
! [X0,X1] :
( ~ product2(X0,e_2,X1)
| ~ product2(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f36,f60]) ).
fof(f78,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_2)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f36,f58]) ).
fof(f79,plain,
! [X0,X1] :
( ~ product1(e_2,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f36,f54]) ).
fof(f80,plain,
! [X0,X1] :
( ~ product1(X0,e_2,X1)
| ~ product1(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f36,f52]) ).
fof(f81,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_2)
| ~ product1(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f36,f50]) ).
fof(f82,plain,
! [X0,X1] :
( ~ product2(e_3,X0,X1)
| ~ product2(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f37,f62]) ).
fof(f83,plain,
! [X0,X1] :
( ~ product2(X0,e_3,X1)
| ~ product2(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f37,f60]) ).
fof(f84,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_3)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f37,f58]) ).
fof(f85,plain,
! [X0,X1] :
( ~ product1(e_3,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f37,f54]) ).
fof(f86,plain,
! [X0,X1] :
( ~ product1(X0,e_3,X1)
| ~ product1(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f37,f52]) ).
fof(f87,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_3)
| ~ product1(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f37,f50]) ).
fof(f88,plain,
! [X0,X1] :
( ~ product2(e_4,X0,X1)
| ~ product2(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f38,f62]) ).
fof(f89,plain,
! [X0,X1] :
( ~ product2(X0,e_4,X1)
| ~ product2(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f38,f60]) ).
fof(f90,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_4)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f38,f58]) ).
fof(f91,plain,
! [X0,X1] :
( ~ product1(e_4,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f38,f54]) ).
fof(f92,plain,
! [X0,X1] :
( ~ product1(X0,e_4,X1)
| ~ product1(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f38,f52]) ).
fof(f93,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_4)
| ~ product1(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f38,f50]) ).
fof(f100,plain,
! [X0,X1] :
( ~ product2(e_3,X0,X1)
| ~ product2(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f40,f62]) ).
fof(f101,plain,
! [X0,X1] :
( ~ product2(X0,e_3,X1)
| ~ product2(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f40,f60]) ).
fof(f102,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_3)
| ~ product2(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f40,f58]) ).
fof(f103,plain,
! [X0,X1] :
( ~ product1(e_3,X0,X1)
| ~ product1(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f40,f54]) ).
fof(f104,plain,
! [X0,X1] :
( ~ product1(X0,e_3,X1)
| ~ product1(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f40,f52]) ).
fof(f105,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_3)
| ~ product1(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f40,f50]) ).
fof(f106,plain,
! [X0,X1] :
( ~ product2(e_4,X0,X1)
| ~ product2(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f41,f62]) ).
fof(f107,plain,
! [X0,X1] :
( ~ product2(X0,e_4,X1)
| ~ product2(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f41,f60]) ).
fof(f108,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_4)
| ~ product2(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f41,f58]) ).
fof(f109,plain,
! [X0,X1] :
( ~ product1(e_4,X0,X1)
| ~ product1(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f41,f54]) ).
fof(f110,plain,
! [X0,X1] :
( ~ product1(X0,e_4,X1)
| ~ product1(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f41,f52]) ).
fof(f111,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_4)
| ~ product1(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f41,f50]) ).
fof(f124,plain,
~ product2(e_2,e_1,e_1),
inference(resolution,[status(thm)],[f76,f63]) ).
fof(f125,plain,
~ product2(e_1,e_2,e_1),
inference(resolution,[status(thm)],[f77,f63]) ).
fof(f126,plain,
~ product2(e_1,e_1,e_2),
inference(resolution,[status(thm)],[f78,f63]) ).
fof(f127,plain,
~ product1(e_2,e_1,e_1),
inference(resolution,[status(thm)],[f79,f55]) ).
fof(f128,plain,
~ product1(e_1,e_2,e_1),
inference(resolution,[status(thm)],[f80,f55]) ).
fof(f129,plain,
~ product1(e_1,e_1,e_2),
inference(resolution,[status(thm)],[f81,f55]) ).
fof(f130,plain,
~ product2(e_3,e_1,e_1),
inference(resolution,[status(thm)],[f82,f63]) ).
fof(f131,plain,
! [X0,X1] :
( ~ product2(e_4,X0,X1)
| ~ product2(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f44,f62]) ).
fof(f132,plain,
! [X0,X1] :
( ~ product2(X0,e_4,X1)
| ~ product2(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f44,f60]) ).
fof(f133,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_4)
| ~ product2(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f44,f58]) ).
fof(f134,plain,
! [X0,X1] :
( ~ product1(e_4,X0,X1)
| ~ product1(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f44,f54]) ).
fof(f135,plain,
! [X0,X1] :
( ~ product1(X0,e_4,X1)
| ~ product1(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f44,f52]) ).
fof(f136,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_4)
| ~ product1(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f44,f50]) ).
fof(f155,plain,
~ product2(e_1,e_3,e_1),
inference(resolution,[status(thm)],[f83,f63]) ).
fof(f156,plain,
~ product2(e_1,e_1,e_3),
inference(resolution,[status(thm)],[f84,f63]) ).
fof(f157,plain,
! [X0] :
( product1(X0,e_4,e_4)
| product1(X0,e_4,e_3)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f35]) ).
fof(f158,plain,
! [X0] :
( product1(X0,e_3,e_4)
| product1(X0,e_3,e_3)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f34]) ).
fof(f159,plain,
! [X0] :
( product1(X0,e_2,e_4)
| product1(X0,e_2,e_3)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f33]) ).
fof(f160,plain,
! [X0] :
( product1(X0,e_1,e_4)
| product1(X0,e_1,e_3)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f48,f32]) ).
fof(f164,plain,
! [X0] :
( product2(X0,e_1,e_4)
| product2(X0,e_1,e_3)
| product2(X0,e_1,e_2)
| product2(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f56,f32]) ).
fof(f165,plain,
~ product1(e_3,e_1,e_1),
inference(resolution,[status(thm)],[f85,f55]) ).
fof(f166,plain,
~ product1(e_1,e_3,e_1),
inference(resolution,[status(thm)],[f86,f55]) ).
fof(f167,plain,
~ product1(e_1,e_1,e_3),
inference(resolution,[status(thm)],[f87,f55]) ).
fof(f168,plain,
~ product2(e_4,e_1,e_1),
inference(resolution,[status(thm)],[f88,f63]) ).
fof(f169,plain,
~ product2(e_1,e_4,e_1),
inference(resolution,[status(thm)],[f89,f63]) ).
fof(f170,plain,
~ product2(e_1,e_1,e_4),
inference(resolution,[status(thm)],[f90,f63]) ).
fof(f171,plain,
~ product1(e_4,e_1,e_1),
inference(resolution,[status(thm)],[f91,f55]) ).
fof(f172,plain,
~ product1(e_1,e_4,e_1),
inference(resolution,[status(thm)],[f92,f55]) ).
fof(f173,plain,
~ product1(e_1,e_1,e_4),
inference(resolution,[status(thm)],[f93,f55]) ).
fof(f174,plain,
~ product2(e_3,e_2,e_2),
inference(resolution,[status(thm)],[f100,f63]) ).
fof(f175,plain,
~ product2(e_2,e_3,e_2),
inference(resolution,[status(thm)],[f101,f63]) ).
fof(f176,plain,
~ product2(e_2,e_2,e_3),
inference(resolution,[status(thm)],[f102,f63]) ).
fof(f177,plain,
~ product1(e_3,e_2,e_2),
inference(resolution,[status(thm)],[f103,f55]) ).
fof(f178,plain,
~ product1(e_2,e_3,e_2),
inference(resolution,[status(thm)],[f104,f55]) ).
fof(f179,plain,
~ product1(e_2,e_2,e_3),
inference(resolution,[status(thm)],[f105,f55]) ).
fof(f180,plain,
~ product2(e_4,e_2,e_2),
inference(resolution,[status(thm)],[f106,f63]) ).
fof(f181,plain,
~ product2(e_2,e_4,e_2),
inference(resolution,[status(thm)],[f107,f63]) ).
fof(f182,plain,
~ product2(e_2,e_2,e_4),
inference(resolution,[status(thm)],[f108,f63]) ).
fof(f183,plain,
~ product1(e_4,e_2,e_2),
inference(resolution,[status(thm)],[f109,f55]) ).
fof(f184,plain,
~ product1(e_2,e_4,e_2),
inference(resolution,[status(thm)],[f110,f55]) ).
fof(f185,plain,
~ product1(e_2,e_2,e_4),
inference(resolution,[status(thm)],[f111,f55]) ).
fof(f186,plain,
~ product2(e_4,e_3,e_3),
inference(resolution,[status(thm)],[f131,f63]) ).
fof(f187,plain,
~ product2(e_3,e_4,e_3),
inference(resolution,[status(thm)],[f132,f63]) ).
fof(f188,plain,
~ product2(e_3,e_3,e_4),
inference(resolution,[status(thm)],[f133,f63]) ).
fof(f189,plain,
~ product1(e_4,e_3,e_3),
inference(resolution,[status(thm)],[f134,f55]) ).
fof(f190,plain,
~ product1(e_3,e_4,e_3),
inference(resolution,[status(thm)],[f135,f55]) ).
fof(f191,plain,
~ product1(e_3,e_3,e_4),
inference(resolution,[status(thm)],[f136,f55]) ).
fof(f193,plain,
( product1(e_3,e_4,e_4)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f157,f34]) ).
fof(f194,plain,
( product1(e_2,e_4,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f157,f33]) ).
fof(f195,plain,
( product1(e_1,e_4,e_4)
| product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f157,f32]) ).
fof(f209,definition,
( sQ4_spl
<=> product1(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f212,definition,
( sQ5_spl
<=> product1(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( ~ sQ5_spl
| product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
( sQ6_spl
<=> product1(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f216,plain,
( ~ sQ6_spl
| product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,definition,
( sQ7_spl
<=> product1(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ7_spl
| product1(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f193,f209,f212,f215,f218]) ).
fof(f222,definition,
( sQ8_spl
<=> product1(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ8_spl
| product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,definition,
( sQ9_spl
<=> product1(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f226,plain,
( ~ sQ9_spl
| product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f225]) ).
fof(f228,definition,
( sQ10_spl
<=> product1(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( ~ sQ10_spl
| product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f228]) ).
fof(f231,definition,
( sQ11_spl
<=> product1(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f232,plain,
( ~ sQ11_spl
| product1(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f231]) ).
fof(f234,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f194,f222,f225,f228,f231]) ).
fof(f235,definition,
( sQ12_spl
<=> product1(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f236,plain,
( ~ sQ12_spl
| product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f238,definition,
( sQ13_spl
<=> product1(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f239,plain,
( ~ sQ13_spl
| product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f238]) ).
fof(f241,definition,
( sQ14_spl
<=> product1(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ14_spl
| product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ15_spl
<=> product1(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ15_spl
| product1(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f247,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f195,f235,f238,f241,f244]) ).
fof(f248,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f236,f172]) ).
fof(f249,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f226,f184]) ).
fof(f251,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f250]) ).
fof(f252,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f216,f190]) ).
fof(f253,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f252]) ).
fof(f254,plain,
( ~ sQ15_spl
| ~ product1(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f245,f91]) ).
fof(f258,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f254,f55]) ).
fof(f259,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f258]) ).
fof(f262,plain,
( ~ sQ14_spl
| ~ product1(e_2,e_4,e_3) ),
inference(resolution,[status(thm)],[f242,f79]) ).
fof(f265,plain,
( ~ sQ14_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f262,f229]) ).
fof(f266,plain,
( ~ sQ14_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( ~ sQ13_spl
| ~ product1(e_3,e_4,e_2) ),
inference(resolution,[status(thm)],[f239,f85]) ).
fof(f272,plain,
! [X0] :
( ~ sQ13_spl
| product2(e_2,X0,e_4)
| ~ product1(e_4,X0,e_1) ),
inference(resolution,[status(thm)],[f239,f65]) ).
fof(f273,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f268,f213]) ).
fof(f274,plain,
( ~ sQ13_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f273]) ).
fof(f275,plain,
( ~ sQ11_spl
| ~ product1(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f232,f109]) ).
fof(f278,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f275,f55]) ).
fof(f279,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f278]) ).
fof(f288,plain,
( ~ sQ7_spl
| ~ product1(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f219,f134]) ).
fof(f290,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f288,f55]) ).
fof(f291,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f290]) ).
fof(f295,plain,
( product1(e_1,e_3,e_4)
| product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f158,f32]) ).
fof(f302,definition,
( sQ18_spl
<=> product1(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f303,plain,
( ~ sQ18_spl
| product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f302]) ).
fof(f318,definition,
( sQ23_spl
<=> product1(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ23_spl
| product1(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f325,definition,
( sQ25_spl
<=> product1(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( ~ sQ25_spl
| product1(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f325]) ).
fof(f328,definition,
( sQ26_spl
<=> product1(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( ~ sQ26_spl
| product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f328]) ).
fof(f335,definition,
( sQ28_spl
<=> product1(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f336,plain,
( ~ sQ28_spl
| product1(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,definition,
( sQ29_spl
<=> product1(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( ~ sQ29_spl
| product1(e_1,e_3,e_2) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,definition,
( sQ30_spl
<=> product1(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ30_spl
| product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,definition,
( sQ31_spl
<=> product1(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f345,plain,
( ~ sQ31_spl
| product1(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f295,f335,f338,f341,f344]) ).
fof(f348,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f336,f166]) ).
fof(f349,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f326,f178]) ).
fof(f351,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f350]) ).
fof(f352,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f319,f191]) ).
fof(f353,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f352]) ).
fof(f354,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f303,f189]) ).
fof(f355,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f354]) ).
fof(f356,plain,
( product1(e_4,e_2,e_4)
| product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f159,f35]) ).
fof(f357,plain,
( product1(e_3,e_2,e_4)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1) ),
inference(resolution,[status(thm)],[f159,f34]) ).
fof(f358,plain,
( product1(e_2,e_2,e_4)
| product1(e_2,e_2,e_3)
| product1(e_2,e_2,e_2)
| product1(e_2,e_2,e_1) ),
inference(resolution,[status(thm)],[f159,f33]) ).
fof(f359,plain,
( product1(e_1,e_2,e_4)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1) ),
inference(resolution,[status(thm)],[f159,f32]) ).
fof(f360,definition,
( sQ32_spl
<=> product1(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( ~ sQ32_spl
| product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ33_spl
<=> product1(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ33_spl
| product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,definition,
( sQ34_spl
<=> product1(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ34_spl
| product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ35_spl
<=> product1(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f356,f360,f363,f366,f369]) ).
fof(f373,definition,
( sQ36_spl
<=> product1(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( ~ sQ36_spl
| product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ37_spl
<=> product1(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( ~ sQ37_spl
| product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ38_spl
<=> product1(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ38_spl
| product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ39_spl
<=> product1(e_3,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( ~ sQ39_spl
| product1(e_3,e_2,e_4) ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( sQ39_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f357,f373,f376,f379,f382]) ).
fof(f386,definition,
( sQ40_spl
<=> product1(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ40_spl
| product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,definition,
( sQ41_spl
<=> product1(e_2,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f392,definition,
( sQ42_spl
<=> product1(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( ~ sQ42_spl
| product1(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,definition,
( sQ43_spl
<=> product1(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ43_spl
| product1(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( sQ43_spl
| sQ42_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f358,f386,f389,f392,f395]) ).
fof(f399,definition,
( sQ44_spl
<=> product1(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ44_spl
| product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ45_spl
<=> product1(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( ~ sQ45_spl
| product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ46_spl
<=> product1(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( ~ sQ46_spl
| product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ47_spl
<=> product1(e_1,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ47_spl
| product1(e_1,e_2,e_4) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( sQ47_spl
| sQ46_spl
| sQ45_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f359,f399,f402,f405,f408]) ).
fof(f412,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f400,f128]) ).
fof(f413,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f412]) ).
fof(f414,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f396,f185]) ).
fof(f415,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f414]) ).
fof(f416,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f393,f179]) ).
fof(f417,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f416]) ).
fof(f418,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f377,f177]) ).
fof(f419,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f418]) ).
fof(f420,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f364,f183]) ).
fof(f421,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f420]) ).
fof(f425,plain,
( product1(e_1,e_1,e_4)
| product1(e_1,e_1,e_3)
| product1(e_1,e_1,e_2)
| product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f160,f32]) ).
fof(f426,definition,
( sQ48_spl
<=> product1(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( ~ sQ48_spl
| product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f439,definition,
( sQ52_spl
<=> product1(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( ~ sQ52_spl
| product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f452,definition,
( sQ56_spl
<=> product1(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( ~ sQ56_spl
| product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ57_spl
<=> product1(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( ~ sQ57_spl
| product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f465,definition,
( sQ60_spl
<=> product1(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f468,definition,
( sQ61_spl
<=> product1(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ61_spl
| product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
( sQ62_spl
<=> product1(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ62_spl
| product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ63_spl
<=> product1(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ63_spl
| product1(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,plain,
( sQ63_spl
| sQ62_spl
| sQ61_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f425,f465,f468,f471,f474]) ).
fof(f478,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f475,f173]) ).
fof(f479,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f478]) ).
fof(f480,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f167]) ).
fof(f481,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f480]) ).
fof(f482,plain,
( ~ sQ61_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f129]) ).
fof(f483,plain,
~ sQ61_spl,
inference(contradiction_clause,[status(thm)],[f482]) ).
fof(f484,plain,
( ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f127]) ).
fof(f485,plain,
~ sQ56_spl,
inference(contradiction_clause,[status(thm)],[f484]) ).
fof(f486,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f440,f165]) ).
fof(f487,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f486]) ).
fof(f488,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f171]) ).
fof(f489,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f488]) ).
fof(f518,definition,
( sQ70_spl
<=> product2(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f519,plain,
( ~ sQ70_spl
| product2(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f518]) ).
fof(f521,definition,
( sQ71_spl
<=> product2(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f522,plain,
( ~ sQ71_spl
| product2(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f521]) ).
fof(f528,definition,
( sQ73_spl
<=> product2(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f529,plain,
( ~ sQ73_spl
| product2(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f528]) ).
fof(f534,definition,
( sQ75_spl
<=> product2(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f535,plain,
( ~ sQ75_spl
| product2(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f534]) ).
fof(f538,definition,
( sQ76_spl
<=> product2(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f539,plain,
( ~ sQ76_spl
| product2(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f547,definition,
( sQ79_spl
<=> product2(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f548,plain,
( ~ sQ79_spl
| product2(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f547]) ).
fof(f551,plain,
( ~ sQ76_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f539,f169]) ).
fof(f552,plain,
~ sQ76_spl,
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f553,plain,
( ~ sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f181]) ).
fof(f554,plain,
~ sQ73_spl,
inference(contradiction_clause,[status(thm)],[f553]) ).
fof(f555,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f187]) ).
fof(f556,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f555]) ).
fof(f567,definition,
( sQ82_spl
<=> product2(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ82_spl
| product2(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f583,definition,
( sQ87_spl
<=> product2(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f584,plain,
( ~ sQ87_spl
| product2(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f583]) ).
fof(f590,definition,
( sQ89_spl
<=> product2(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f591,plain,
( ~ sQ89_spl
| product2(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f590]) ).
fof(f593,definition,
( sQ90_spl
<=> product2(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ90_spl
| product2(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f593]) ).
fof(f600,definition,
( sQ92_spl
<=> product2(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f601,plain,
( ~ sQ92_spl
| product2(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f600]) ).
fof(f606,definition,
( sQ94_spl
<=> product2(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f607,plain,
( ~ sQ94_spl
| product2(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f606]) ).
fof(f613,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f601,f155]) ).
fof(f614,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f613]) ).
fof(f615,plain,
( ~ sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f591,f175]) ).
fof(f616,plain,
~ sQ89_spl,
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( ~ sQ87_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f584,f188]) ).
fof(f618,plain,
~ sQ87_spl,
inference(contradiction_clause,[status(thm)],[f617]) ).
fof(f619,plain,
( ~ sQ82_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f568,f186]) ).
fof(f620,plain,
~ sQ82_spl,
inference(contradiction_clause,[status(thm)],[f619]) ).
fof(f633,plain,
( ~ sQ30_spl
| ~ product1(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f342,f85]) ).
fof(f638,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f633,f55]) ).
fof(f639,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f638]) ).
fof(f643,plain,
( ~ sQ29_spl
| ~ product1(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f339,f135]) ).
fof(f651,plain,
( ~ sQ29_spl
| ~ sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f643,f239]) ).
fof(f652,plain,
( ~ sQ29_spl
| ~ sQ13_spl ),
inference(contradiction_clause,[status(thm)],[f651]) ).
fof(f656,plain,
( ~ sQ26_spl
| ~ product1(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f329,f103]) ).
fof(f660,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f656,f55]) ).
fof(f661,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f660]) ).
fof(f677,plain,
( ~ sQ47_spl
| ~ product1(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f409,f104]) ).
fof(f678,plain,
! [X0] :
( ~ sQ47_spl
| product2(e_4,X0,e_2)
| ~ product1(e_2,X0,e_1) ),
inference(resolution,[status(thm)],[f409,f65]) ).
fof(f681,plain,
( ~ sQ46_spl
| ~ product1(e_4,e_2,e_3) ),
inference(resolution,[status(thm)],[f406,f91]) ).
fof(f682,plain,
( ~ sQ46_spl
| ~ product1(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f406,f85]) ).
fof(f684,plain,
( ~ sQ46_spl
| ~ product1(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f406,f110]) ).
fof(f688,plain,
( ~ sQ46_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f681,f367]) ).
fof(f689,plain,
( ~ sQ46_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f688]) ).
fof(f697,definition,
( sQ97_spl
<=> product2(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ97_spl])],[split_symbol_definition]) ).
fof(f698,plain,
( ~ sQ97_spl
| product2(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f697]) ).
fof(f710,definition,
( sQ101_spl
<=> product2(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f711,plain,
( ~ sQ101_spl
| product2(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f710]) ).
fof(f726,definition,
( sQ106_spl
<=> product2(e_2,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ106_spl])],[split_symbol_definition]) ).
fof(f727,plain,
( ~ sQ106_spl
| product2(e_2,e_2,e_3) ),
inference(component_clause,[status(thm)],[f726]) ).
fof(f729,definition,
( sQ107_spl
<=> product2(e_2,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f730,plain,
( ~ sQ107_spl
| product2(e_2,e_2,e_4) ),
inference(component_clause,[status(thm)],[f729]) ).
fof(f733,definition,
( sQ108_spl
<=> product2(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f734,plain,
( ~ sQ108_spl
| product2(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,definition,
( sQ109_spl
<=> product2(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f737,plain,
( ~ sQ109_spl
| product2(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f746,plain,
( ~ sQ108_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f734,f125]) ).
fof(f747,plain,
~ sQ108_spl,
inference(contradiction_clause,[status(thm)],[f746]) ).
fof(f748,plain,
( ~ sQ107_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f730,f182]) ).
fof(f749,plain,
~ sQ107_spl,
inference(contradiction_clause,[status(thm)],[f748]) ).
fof(f750,plain,
( ~ sQ106_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f727,f176]) ).
fof(f751,plain,
~ sQ106_spl,
inference(contradiction_clause,[status(thm)],[f750]) ).
fof(f752,plain,
( ~ sQ101_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f711,f174]) ).
fof(f753,plain,
~ sQ101_spl,
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f754,plain,
( ~ sQ97_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f180]) ).
fof(f755,plain,
~ sQ97_spl,
inference(contradiction_clause,[status(thm)],[f754]) ).
fof(f759,plain,
( product2(e_1,e_1,e_4)
| product2(e_1,e_1,e_3)
| product2(e_1,e_1,e_2)
| product2(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f164,f32]) ).
fof(f760,definition,
( sQ112_spl
<=> product2(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ112_spl])],[split_symbol_definition]) ).
fof(f761,plain,
( ~ sQ112_spl
| product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f773,definition,
( sQ116_spl
<=> product2(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f774,plain,
( ~ sQ116_spl
| product2(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f773]) ).
fof(f786,definition,
( sQ120_spl
<=> product2(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f787,plain,
( ~ sQ120_spl
| product2(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,definition,
( sQ121_spl
<=> product2(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ121_spl])],[split_symbol_definition]) ).
fof(f790,plain,
( ~ sQ121_spl
| product2(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f799,definition,
( sQ124_spl
<=> product2(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ124_spl])],[split_symbol_definition]) ).
fof(f802,definition,
( sQ125_spl
<=> product2(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ125_spl])],[split_symbol_definition]) ).
fof(f803,plain,
( ~ sQ125_spl
| product2(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f802]) ).
fof(f805,definition,
( sQ126_spl
<=> product2(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ126_spl])],[split_symbol_definition]) ).
fof(f806,plain,
( ~ sQ126_spl
| product2(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f805]) ).
fof(f808,definition,
( sQ127_spl
<=> product2(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ127_spl])],[split_symbol_definition]) ).
fof(f809,plain,
( ~ sQ127_spl
| product2(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f808]) ).
fof(f811,plain,
( sQ127_spl
| sQ126_spl
| sQ125_spl
| sQ124_spl ),
inference(split_clause,[status(thm)],[f759,f799,f802,f805,f808]) ).
fof(f812,plain,
( ~ sQ127_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f170]) ).
fof(f813,plain,
~ sQ127_spl,
inference(contradiction_clause,[status(thm)],[f812]) ).
fof(f814,plain,
( ~ sQ126_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f806,f156]) ).
fof(f815,plain,
~ sQ126_spl,
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f816,plain,
( ~ sQ125_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f803,f126]) ).
fof(f817,plain,
~ sQ125_spl,
inference(contradiction_clause,[status(thm)],[f816]) ).
fof(f818,plain,
( ~ sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f787,f124]) ).
fof(f819,plain,
~ sQ120_spl,
inference(contradiction_clause,[status(thm)],[f818]) ).
fof(f820,plain,
( ~ sQ116_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f774,f130]) ).
fof(f821,plain,
~ sQ116_spl,
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f822,plain,
( ~ sQ112_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f761,f168]) ).
fof(f823,plain,
~ sQ112_spl,
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f826,plain,
( ~ sQ45_spl
| ~ product1(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f403,f79]) ).
fof(f832,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f826,f55]) ).
fof(f833,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f832]) ).
fof(f834,plain,
( ~ sQ46_spl
| ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f380]) ).
fof(f835,plain,
( ~ sQ46_spl
| ~ sQ38_spl ),
inference(contradiction_clause,[status(thm)],[f834]) ).
fof(f845,plain,
( ~ sQ40_spl
| ~ product1(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f387,f81]) ).
fof(f850,plain,
( ~ sQ39_spl
| ~ product1(e_4,e_2,e_4) ),
inference(resolution,[status(thm)],[f383,f134]) ).
fof(f856,plain,
( ~ sQ36_spl
| ~ product1(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f374,f110]) ).
fof(f864,plain,
( ~ sQ13_spl
| ~ sQ32_spl
| product2(e_2,e_2,e_4) ),
inference(resolution,[status(thm)],[f361,f272]) ).
fof(f871,plain,
( ~ sQ13_spl
| ~ sQ32_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f864,f729,f360,f238]) ).
fof(f876,plain,
( ~ sQ47_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f677,f345]) ).
fof(f877,plain,
( ~ sQ47_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f876]) ).
fof(f878,plain,
( ~ sQ36_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f856,f209,f373]) ).
fof(f879,plain,
( ~ sQ39_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f850,f369,f382]) ).
fof(f880,plain,
( ~ sQ46_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f684,f241,f405]) ).
fof(f881,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f845,f55]) ).
fof(f882,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f881]) ).
fof(f904,plain,
( ~ sQ57_spl
| ~ product1(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f456,f80]) ).
fof(f915,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f904,f55]) ).
fof(f916,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f915]) ).
fof(f922,plain,
( ~ sQ79_spl
| ~ product2(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f548,f88]) ).
fof(f925,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f922,f63]) ).
fof(f926,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f925]) ).
fof(f942,plain,
( ~ sQ75_spl
| ~ product2(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f535,f106]) ).
fof(f944,plain,
( ~ sQ75_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f942,f63]) ).
fof(f945,plain,
~ sQ75_spl,
inference(contradiction_clause,[status(thm)],[f944]) ).
fof(f956,plain,
( ~ sQ71_spl
| ~ product2(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f522,f131]) ).
fof(f957,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f956,f63]) ).
fof(f958,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f957]) ).
fof(f970,plain,
( ~ sQ94_spl
| ~ product2(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f607,f82]) ).
fof(f974,plain,
( ~ sQ94_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f970,f63]) ).
fof(f975,plain,
~ sQ94_spl,
inference(contradiction_clause,[status(thm)],[f974]) ).
fof(f991,plain,
( ~ sQ90_spl
| ~ product2(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f594,f100]) ).
fof(f994,plain,
( ~ sQ90_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f991,f63]) ).
fof(f995,plain,
~ sQ90_spl,
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f1023,plain,
( ~ sQ109_spl
| ~ product2(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f737,f76]) ).
fof(f1028,plain,
( ~ sQ109_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1023,f63]) ).
fof(f1029,plain,
~ sQ109_spl,
inference(contradiction_clause,[status(thm)],[f1028]) ).
fof(f1076,plain,
( ~ sQ121_spl
| ~ product2(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f790,f77]) ).
fof(f1085,plain,
( ~ sQ121_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1076,f63]) ).
fof(f1086,plain,
~ sQ121_spl,
inference(contradiction_clause,[status(thm)],[f1085]) ).
fof(f1127,plain,
( ~ sQ47_spl
| ~ sQ8_spl
| product2(e_4,e_4,e_2) ),
inference(resolution,[status(thm)],[f223,f678]) ).
fof(f1162,plain,
( ~ sQ47_spl
| ~ sQ8_spl
| ~ product2(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f1127,f108]) ).
fof(f1164,plain,
( ~ sQ47_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1162,f63]) ).
fof(f1165,plain,
( ~ sQ47_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f1164]) ).
fof(f1166,plain,
$false,
inference(sat_refutation,[status(thm)],[f221,f234,f247,f249,f251,f253,f259,f266,f274,f279,f291,f347,f349,f351,f353,f355,f372,f385,f398,f411,f413,f415,f417,f419,f421,f477,f479,f481,f483,f485,f487,f489,f552,f554,f556,f614,f616,f618,f620,f639,f652,f661,f689,f747,f749,f751,f753,f755,f811,f813,f815,f817,f819,f821,f823,f833,f835,f871,f877,f878,f879,f880,f882,f916,f926,f945,f958,f975,f995,f1029,f1086,f1165]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP124-9.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n005.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 20 19:59:04 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Drodi V4.1.1
% 0.17/0.52 % Refutation found
% 0.17/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.70/0.56 % Elapsed time: 0.110647 seconds
% 0.70/0.56 % CPU time: 0.584359 seconds
% 0.70/0.56 % Total memory used: 23.090 MB
% 0.70/0.56 % Net memory used: 22.633 MB
%------------------------------------------------------------------------------