TSTP Solution File: GRP130-2.003 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP130-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:10:39 EDT 2023
% Result : Unsatisfiable 0.10s 0.34s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 39
% Syntax : Number of formulae : 227 ( 17 unt; 0 def)
% Number of atoms : 569 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 643 ( 301 ~; 315 |; 0 &)
% ( 27 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 31 ( 30 usr; 28 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 75 (; 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
group_element(e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product(X,Y,e_1)
| product(X,Y,e_2)
| product(X,Y,e_3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X,Y,Z1,Z2] :
( ~ product(X,Y,Z1)
| ~ product(X,Z1,Z2)
| product(Z2,Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f29,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f30,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f31,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f32,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f33,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f34,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f35,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f37,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f40,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f18]) ).
fof(f41,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f42,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f19]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f44,plain,
! [X,Y,Z2] :
( ! [Z1] :
( ~ product(X,Y,Z1)
| ~ product(X,Z1,Z2) )
| product(Z2,Y,X) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X2,X3)
| product(X3,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f44]) ).
fof(f46,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3) ),
inference(resolution,[status(thm)],[f28,f37]) ).
fof(f47,plain,
( spl0_0
<=> product(e_1,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f48,plain,
( product(e_1,e_1,e_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( spl0_1
<=> product(e_1,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f51,plain,
( product(e_1,e_1,e_2)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( spl0_2
<=> product(e_1,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f54,plain,
( product(e_1,e_1,e_3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(resolution,[status(thm)],[f46,f28]) ).
fof(f57,plain,
( spl0_0
| spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f56,f47,f50,f53]) ).
fof(f58,plain,
( spl0_3
<=> product(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f59,plain,
( product(e_1,e_2,e_1)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,plain,
( spl0_4
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f62,plain,
( product(e_1,e_2,e_2)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( spl0_5
<=> product(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f65,plain,
( product(e_1,e_2,e_3)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(resolution,[status(thm)],[f29,f46]) ).
fof(f68,plain,
( spl0_3
| spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f67,f58,f61,f64]) ).
fof(f69,plain,
! [X0] :
( ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3) ),
inference(resolution,[status(thm)],[f29,f37]) ).
fof(f70,plain,
( spl0_6
<=> product(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f71,plain,
( product(e_2,e_2,e_1)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f70]) ).
fof(f73,plain,
( spl0_7
<=> product(e_2,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f74,plain,
( product(e_2,e_2,e_2)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f73]) ).
fof(f76,plain,
( spl0_8
<=> product(e_2,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f77,plain,
( product(e_2,e_2,e_3)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f76]) ).
fof(f79,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(resolution,[status(thm)],[f69,f29]) ).
fof(f80,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f79,f70,f73,f76]) ).
fof(f81,plain,
( spl0_9
<=> product(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f82,plain,
( product(e_2,e_1,e_1)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f81]) ).
fof(f84,plain,
( spl0_10
<=> product(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f85,plain,
( product(e_2,e_1,e_2)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f84]) ).
fof(f87,plain,
( spl0_11
<=> product(e_2,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f88,plain,
( product(e_2,e_1,e_3)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f87]) ).
fof(f90,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f69,f28]) ).
fof(f91,plain,
( spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f90,f81,f84,f87]) ).
fof(f92,plain,
( spl0_12
<=> product(e_2,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f93,plain,
( product(e_2,e_3,e_1)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f92]) ).
fof(f95,plain,
( spl0_13
<=> product(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f96,plain,
( product(e_2,e_3,e_2)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,plain,
( spl0_14
<=> product(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f99,plain,
( product(e_2,e_3,e_3)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,plain,
( product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(resolution,[status(thm)],[f30,f69]) ).
fof(f102,plain,
( spl0_12
| spl0_13
| spl0_14 ),
inference(split_clause,[status(thm)],[f101,f92,f95,f98]) ).
fof(f103,plain,
( spl0_15
<=> product(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f104,plain,
( product(e_1,e_3,e_1)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f103]) ).
fof(f106,plain,
( spl0_16
<=> product(e_1,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f107,plain,
( product(e_1,e_3,e_2)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f109,plain,
( spl0_17
<=> product(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f110,plain,
( product(e_1,e_3,e_3)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f109]) ).
fof(f112,plain,
( product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(resolution,[status(thm)],[f30,f46]) ).
fof(f113,plain,
( spl0_15
| spl0_16
| spl0_17 ),
inference(split_clause,[status(thm)],[f112,f103,f106,f109]) ).
fof(f114,plain,
! [X0] :
( ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3) ),
inference(resolution,[status(thm)],[f30,f37]) ).
fof(f115,plain,
( spl0_18
<=> product(e_3,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f116,plain,
( product(e_3,e_3,e_1)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f115]) ).
fof(f118,plain,
( spl0_19
<=> product(e_3,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f119,plain,
( product(e_3,e_3,e_2)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f118]) ).
fof(f121,plain,
( spl0_20
<=> product(e_3,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f122,plain,
( product(e_3,e_3,e_3)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f121]) ).
fof(f124,plain,
( product(e_3,e_3,e_1)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f114,f30]) ).
fof(f125,plain,
( spl0_18
| spl0_19
| spl0_20 ),
inference(split_clause,[status(thm)],[f124,f115,f118,f121]) ).
fof(f126,plain,
( spl0_21
<=> product(e_3,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f127,plain,
( product(e_3,e_2,e_1)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,plain,
( spl0_22
<=> product(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f130,plain,
( product(e_3,e_2,e_2)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f129]) ).
fof(f132,plain,
( spl0_23
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f133,plain,
( product(e_3,e_2,e_3)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( product(e_3,e_2,e_1)
| product(e_3,e_2,e_2)
| product(e_3,e_2,e_3) ),
inference(resolution,[status(thm)],[f114,f29]) ).
fof(f136,plain,
( spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f135,f126,f129,f132]) ).
fof(f137,plain,
( spl0_24
<=> product(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f138,plain,
( product(e_3,e_1,e_1)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f137]) ).
fof(f140,plain,
( spl0_25
<=> product(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f141,plain,
( product(e_3,e_1,e_2)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( spl0_26
<=> product(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f144,plain,
( product(e_3,e_1,e_3)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,plain,
( product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(resolution,[status(thm)],[f114,f28]) ).
fof(f147,plain,
( spl0_24
| spl0_25
| spl0_26 ),
inference(split_clause,[status(thm)],[f146,f137,f140,f143]) ).
fof(f152,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| product(X0,e_1,e_1)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f54,f45]) ).
fof(f162,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_2,e_1)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f62,f45]) ).
fof(f165,plain,
! [X0] :
( ~ product(e_1,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f59,f41]) ).
fof(f172,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(X0,e_1,e_2)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f88,f45]) ).
fof(f180,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(e_2,X0)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f85,f43]) ).
fof(f183,plain,
! [X0] :
( ~ product(e_2,e_2,X0)
| product(X0,e_1,e_2)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f85,f45]) ).
fof(f191,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(e_1,X0)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f82,f41]) ).
fof(f193,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(X0,e_1,e_2)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f82,f45]) ).
fof(f206,plain,
! [X0] :
( ~ product(e_2,X0,e_2)
| equalish(e_2,X0)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f74,f41]) ).
fof(f209,plain,
! [X0] :
( ~ product(X0,e_3,e_3)
| equalish(e_1,X0)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f110,f43]) ).
fof(f212,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| product(X0,e_3,e_1)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f110,f45]) ).
fof(f213,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(e_1,X0)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f107,f43]) ).
fof(f214,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_3,X0)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f107,f41]) ).
fof(f216,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(X0,e_3,e_1)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f107,f45]) ).
fof(f217,plain,
( equalish(e_2,e_3)
| ~ spl0_15
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f104,f165]) ).
fof(f218,plain,
( $false
| ~ spl0_15
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f217,f34]) ).
fof(f219,plain,
( ~ spl0_15
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f218]) ).
fof(f222,plain,
( product(e_2,e_2,e_1)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f162,f62]) ).
fof(f223,plain,
( spl0_6
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f222,f70,f61]) ).
fof(f224,plain,
( equalish(e_1,e_2)
| ~ spl0_14
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f99,f209]) ).
fof(f225,plain,
( $false
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f224,f31]) ).
fof(f226,plain,
( ~ spl0_14
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f225]) ).
fof(f228,plain,
( equalish(e_2,e_3)
| ~ spl0_13
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f96,f206]) ).
fof(f229,plain,
( $false
| ~ spl0_13
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f34]) ).
fof(f230,plain,
( ~ spl0_13
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f229]) ).
fof(f234,plain,
! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(e_2,X0)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f71,f43]) ).
fof(f235,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f71,f41]) ).
fof(f239,plain,
( equalish(e_2,e_3)
| ~ spl0_12
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f93,f235]) ).
fof(f240,plain,
( $false
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f239,f34]) ).
fof(f241,plain,
( ~ spl0_12
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f240]) ).
fof(f242,plain,
! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(e_2,X0)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f93,f43]) ).
fof(f247,plain,
( equalish(e_1,e_3)
| ~ spl0_9
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f191,f93]) ).
fof(f248,plain,
( $false
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f247,f32]) ).
fof(f249,plain,
( ~ spl0_9
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f248]) ).
fof(f250,plain,
( equalish(e_1,e_2)
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f96,f213]) ).
fof(f251,plain,
( $false
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f31]) ).
fof(f252,plain,
( ~ spl0_13
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f255,plain,
! [X0] :
( ~ product(e_3,X0,e_3)
| equalish(e_1,X0)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f144,f41]) ).
fof(f257,plain,
! [X0] :
( ~ product(e_3,e_3,X0)
| product(X0,e_1,e_3)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f144,f45]) ).
fof(f258,plain,
( equalish(e_2,e_3)
| ~ spl0_25
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f141,f180]) ).
fof(f259,plain,
( $false
| ~ spl0_25
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f258,f34]) ).
fof(f260,plain,
( ~ spl0_25
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f259]) ).
fof(f261,plain,
( product(e_1,e_1,e_2)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f193,f82]) ).
fof(f262,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(e_2,X0)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f96,f43]) ).
fof(f265,plain,
! [X0] :
( ~ product(e_2,e_2,X0)
| product(X0,e_3,e_2)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f96,f45]) ).
fof(f269,plain,
! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(e_1,X0)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f104,f43]) ).
fof(f273,plain,
! [X0] :
( ~ product(X0,e_2,e_3)
| equalish(e_1,X0)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f65,f43]) ).
fof(f276,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| product(X0,e_2,e_1)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f65,f45]) ).
fof(f287,plain,
( equalish(e_1,e_3)
| ~ spl0_23
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f133,f273]) ).
fof(f288,plain,
( $false
| ~ spl0_23
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f287,f32]) ).
fof(f289,plain,
( ~ spl0_23
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f288]) ).
fof(f293,plain,
! [X0] :
( ~ product(e_3,X0,e_1)
| equalish(e_1,X0)
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f138,f41]) ).
fof(f297,plain,
! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(e_2,X0)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f130,f41]) ).
fof(f299,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(X0,e_2,e_3)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f130,f45]) ).
fof(f300,plain,
( product(e_2,e_2,e_3)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f299,f130]) ).
fof(f300_001,plain,
( product(e_2,e_2,e_3)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f299,f130]) ).
fof(f301,plain,
( product(e_3,e_1,e_2)
| ~ spl0_22
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f300,f183]) ).
fof(f302,plain,
( spl0_25
| ~ spl0_22
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f301,f140,f129,f84]) ).
fof(f308,plain,
( equalish(e_2,e_3)
| ~ spl0_21
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f127,f234]) ).
fof(f309,plain,
( $false
| ~ spl0_21
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f308,f34]) ).
fof(f310,plain,
( ~ spl0_21
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f309]) ).
fof(f312,plain,
! [X0] :
( ~ product(e_3,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f127,f41]) ).
fof(f318,plain,
( equalish(e_1,e_2)
| ~ spl0_24
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f293,f127]) ).
fof(f319,plain,
( $false
| ~ spl0_24
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f318,f31]) ).
fof(f320,plain,
( ~ spl0_24
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f319]) ).
fof(f330,plain,
! [X0] :
( ~ product(X0,e_3,e_3)
| equalish(e_2,X0)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f99,f43]) ).
fof(f334,plain,
( spl0_8
| ~ spl0_22 ),
inference(split_clause,[status(thm)],[f300,f76,f129]) ).
fof(f347,plain,
( equalish(e_2,e_1)
| ~ spl0_3
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f165,f48]) ).
fof(f348,plain,
( $false
| ~ spl0_3
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f347,f33]) ).
fof(f349,plain,
( ~ spl0_3
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f348]) ).
fof(f363,plain,
( equalish(e_3,e_1)
| ~ spl0_1
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f51,f214]) ).
fof(f364,plain,
( $false
| ~ spl0_1
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f363,f35]) ).
fof(f365,plain,
( ~ spl0_1
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f364]) ).
fof(f381,plain,
( product(e_1,e_2,e_1)
| ~ spl0_15
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f104,f276]) ).
fof(f382,plain,
( spl0_3
| ~ spl0_15
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f381,f58,f103,f64]) ).
fof(f387,plain,
( product(e_2,e_1,e_3)
| ~ spl0_19
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f119,f257]) ).
fof(f388,plain,
( spl0_11
| ~ spl0_19
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f387,f87,f118,f143]) ).
fof(f389,plain,
( equalish(e_2,e_3)
| ~ spl0_19
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f119,f262]) ).
fof(f390,plain,
( $false
| ~ spl0_19
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f34]) ).
fof(f391,plain,
( ~ spl0_19
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f390]) ).
fof(f395,plain,
( spl0_1
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f261,f50,f81]) ).
fof(f407,plain,
( equalish(e_2,e_3)
| ~ spl0_18
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f116,f312]) ).
fof(f408,plain,
( $false
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f407,f34]) ).
fof(f409,plain,
( ~ spl0_18
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f408]) ).
fof(f410,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(e_3,X0)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f119,f43]) ).
fof(f413,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(X0,e_3,e_3)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f119,f45]) ).
fof(f415,plain,
! [X0] :
( ~ product(e_3,X0,e_3)
| equalish(e_2,X0)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f133,f41]) ).
fof(f418,plain,
( product(e_2,e_1,e_1)
| ~ spl0_16
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f107,f152]) ).
fof(f419,plain,
( spl0_9
| ~ spl0_16
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f418,f81,f106,f53]) ).
fof(f422,plain,
( equalish(e_3,e_1)
| ~ spl0_16
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f107,f410]) ).
fof(f423,plain,
( $false
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f35]) ).
fof(f424,plain,
( ~ spl0_16
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f423]) ).
fof(f441,plain,
( equalish(e_2,e_3)
| ~ spl0_18
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f116,f242]) ).
fof(f442,plain,
( $false
| ~ spl0_18
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f441,f34]) ).
fof(f443,plain,
( ~ spl0_18
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f442]) ).
fof(f446,plain,
( product(e_3,e_3,e_2)
| ~ spl0_8
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f77,f265]) ).
fof(f447,plain,
( spl0_19
| ~ spl0_8
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f446,f118,f76,f95]) ).
fof(f448,plain,
( equalish(e_1,e_2)
| ~ spl0_8
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f77,f273]) ).
fof(f449,plain,
( $false
| ~ spl0_8
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f448,f31]) ).
fof(f450,plain,
( ~ spl0_8
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f449]) ).
fof(f458,plain,
( equalish(e_2,e_3)
| ~ spl0_19
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f119,f297]) ).
fof(f459,plain,
( $false
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f458,f34]) ).
fof(f460,plain,
( ~ spl0_19
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f459]) ).
fof(f469,plain,
( product(e_1,e_3,e_2)
| ~ spl0_6
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f71,f265]) ).
fof(f470,plain,
( spl0_16
| ~ spl0_6
| ~ spl0_13 ),
inference(split_clause,[status(thm)],[f469,f106,f70,f95]) ).
fof(f481,plain,
( product(e_2,e_3,e_1)
| ~ spl0_16
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f216,f62]) ).
fof(f482,plain,
( spl0_12
| ~ spl0_16
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f481,f92,f106,f61]) ).
fof(f485,plain,
( equalish(e_1,e_3)
| ~ spl0_18
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f116,f269]) ).
fof(f486,plain,
( $false
| ~ spl0_18
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f485,f32]) ).
fof(f487,plain,
( ~ spl0_18
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f486]) ).
fof(f498,plain,
( product(e_3,e_3,e_3)
| ~ spl0_19
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f413,f133]) ).
fof(f500,plain,
( equalish(e_2,e_3)
| ~ spl0_19
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f498,f415]) ).
fof(f501,plain,
( $false
| ~ spl0_19
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f500,f34]) ).
fof(f502,plain,
( ~ spl0_19
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f501]) ).
fof(f505,plain,
( product(e_3,e_3,e_1)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f110,f212]) ).
fof(f506,plain,
( spl0_18
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f505,f115,f109]) ).
fof(f520,plain,
( product(e_1,e_1,e_2)
| ~ spl0_12
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f93,f172]) ).
fof(f521,plain,
( spl0_1
| ~ spl0_12
| ~ spl0_11 ),
inference(split_clause,[status(thm)],[f520,f50,f92,f87]) ).
fof(f528,plain,
( equalish(e_1,e_3)
| ~ spl0_20
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f122,f255]) ).
fof(f529,plain,
( $false
| ~ spl0_20
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f528,f32]) ).
fof(f530,plain,
( ~ spl0_20
| ~ spl0_26 ),
inference(contradiction_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( equalish(e_2,e_3)
| ~ spl0_20
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f122,f330]) ).
fof(f533,plain,
( $false
| ~ spl0_20
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f532,f34]) ).
fof(f534,plain,
( ~ spl0_20
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f533]) ).
fof(f535,plain,
$false,
inference(sat_refutation,[status(thm)],[f57,f68,f80,f91,f102,f113,f125,f136,f147,f219,f223,f226,f230,f241,f249,f252,f260,f289,f302,f310,f320,f334,f349,f365,f382,f388,f391,f395,f409,f419,f424,f443,f447,f450,f460,f470,f482,f487,f502,f506,f521,f530,f534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP130-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.30 % Computer : n016.cluster.edu
% 0.07/0.30 % Model : x86_64 x86_64
% 0.07/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.30 % Memory : 8042.1875MB
% 0.07/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.30 % CPULimit : 300
% 0.07/0.30 % WCLimit : 300
% 0.07/0.30 % DateTime : Tue May 30 11:55:44 EDT 2023
% 0.07/0.30 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 0.10/0.34 % Refutation found
% 0.10/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.35 % Elapsed time: 0.049452 seconds
% 0.10/0.35 % CPU time: 0.096180 seconds
% 0.10/0.35 % Memory used: 1.623 MB
%------------------------------------------------------------------------------