TSTP Solution File: GRP133-2.003 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n014.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 12:10:41 EDT 2023
% Result : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 41
% Syntax : Number of formulae : 249 ( 19 unt; 0 def)
% Number of atoms : 632 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 729 ( 346 ~; 356 |; 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 : 92 (; 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X,Y,Z1,Z2] :
( ~ product(X,Y,Z1)
| ~ product(Y,X,Z2)
| product(Z1,Z2,X) ),
file('/export/starexec/sandbox/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(f36,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(esa)],[f15]) ).
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(f38,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f17]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f38]) ).
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,Z1,Z2] :
( ! [Y] :
( ~ product(X,Y,Z1)
| ~ product(Y,X,Z2) )
| product(Z1,Z2,X) ),
inference(miniscoping,[status(esa)],[f20]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,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(f150,plain,
! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(e_1,X0)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f54,f41]) ).
fof(f152,plain,
! [X0] :
( ~ product(e_1,e_1,X0)
| product(e_3,X0,e_1)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f54,f45]) ).
fof(f156,plain,
( equalish(e_1,e_2)
| ~ spl0_5
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f65,f150]) ).
fof(f157,plain,
( $false
| ~ spl0_5
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f156,f31]) ).
fof(f158,plain,
( ~ spl0_5
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f157]) ).
fof(f159,plain,
! [X0] :
( ~ product(X0,e_2,e_2)
| equalish(e_1,X0)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f62,f43]) ).
fof(f160,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_2,X0)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f62,f41]) ).
fof(f162,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f62,f45]) ).
fof(f163,plain,
! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(e_1,X0)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f59,f43]) ).
fof(f164,plain,
! [X0] :
( ~ product(e_1,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f59,f41]) ).
fof(f166,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_1,X0,e_1)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f59,f45]) ).
fof(f171,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_3,X0,e_2)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f88,f45]) ).
fof(f181,plain,
! [X0] :
( ~ product(e_2,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f85,f41]) ).
fof(f190,plain,
( product(e_1,e_1,e_1)
| ~ spl0_9
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f82,f166]) ).
fof(f192,plain,
! [X0] :
( ~ product(X0,e_1,e_1)
| equalish(e_2,X0)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f82,f43]) ).
fof(f193,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(e_1,X0)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f82,f41]) ).
fof(f196,plain,
( equalish(e_2,e_1)
| ~ spl0_9
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f190,f164]) ).
fof(f197,plain,
( $false
| ~ spl0_9
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f196,f33]) ).
fof(f198,plain,
( ~ spl0_9
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f197]) ).
fof(f203,plain,
! [X0] :
( ~ product(e_2,e_2,X0)
| equalish(e_3,X0)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f77,f39]) ).
fof(f204,plain,
! [X0] :
( ~ product(e_2,e_2,X0)
| product(e_3,X0,e_2)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f77,f45]) ).
fof(f209,plain,
( equalish(e_1,e_2)
| ~ spl0_6
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f71,f193]) ).
fof(f210,plain,
( $false
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f209,f31]) ).
fof(f211,plain,
( ~ spl0_6
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f210]) ).
fof(f215,plain,
! [X0] :
( ~ product(e_2,e_2,X0)
| product(e_1,X0,e_2)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f71,f45]) ).
fof(f216,plain,
! [X0] :
( ~ product(X0,e_3,e_3)
| equalish(e_1,X0)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f110,f43]) ).
fof(f220,plain,
( equalish(e_2,e_3)
| ~ spl0_16
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f107,f160]) ).
fof(f221,plain,
( $false
| ~ spl0_16
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f220,f34]) ).
fof(f222,plain,
( ~ spl0_16
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f221]) ).
fof(f224,plain,
! [X0] :
( ~ product(e_1,X0,e_1)
| equalish(e_3,X0)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f104,f41]) ).
fof(f226,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_1,X0,e_1)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f104,f45]) ).
fof(f231,plain,
( equalish(e_1,e_2)
| ~ spl0_3
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f163,f71]) ).
fof(f232,plain,
( $false
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f231,f31]) ).
fof(f233,plain,
( ~ spl0_3
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f232]) ).
fof(f235,plain,
! [X0] :
( ~ product(e_2,X0,e_2)
| equalish(e_2,X0)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f74,f41]) ).
fof(f241,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(e_3,X0,e_2)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f99,f45]) ).
fof(f242,plain,
( equalish(e_2,e_3)
| ~ spl0_3
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f164,f104]) ).
fof(f243,plain,
( $false
| ~ spl0_3
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f34]) ).
fof(f244,plain,
( ~ spl0_3
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f243]) ).
fof(f245,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(e_1,X0)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f107,f43]) ).
fof(f248,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f107,f45]) ).
fof(f255,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(e_3,X0)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f93,f41]) ).
fof(f257,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(e_1,X0,e_2)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f93,f45]) ).
fof(f261,plain,
! [X0] :
( ~ product(e_3,X0,e_3)
| equalish(e_1,X0)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f144,f41]) ).
fof(f267,plain,
( product(e_2,e_1,e_1)
| ~ spl0_24
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f138,f248]) ).
fof(f268,plain,
( spl0_9
| ~ spl0_24
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f267,f81,f137,f106]) ).
fof(f270,plain,
! [X0] :
( ~ product(X0,e_1,e_1)
| equalish(e_3,X0)
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f138,f43]) ).
fof(f274,plain,
( equalish(e_1,e_2)
| ~ spl0_7
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f74,f159]) ).
fof(f275,plain,
( $false
| ~ spl0_7
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f274,f31]) ).
fof(f276,plain,
( ~ spl0_7
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f275]) ).
fof(f277,plain,
( product(e_1,e_1,e_1)
| ~ spl0_15
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f226,f138]) ).
fof(f283,plain,
( equalish(e_3,e_1)
| ~ spl0_15
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f270,f277]) ).
fof(f284,plain,
( $false
| ~ spl0_15
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f283,f35]) ).
fof(f285,plain,
( ~ spl0_15
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f284]) ).
fof(f292,plain,
! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(e_2,X0)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f65,f41]) ).
fof(f298,plain,
( product(e_1,e_3,e_2)
| ~ spl0_23
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f133,f257]) ).
fof(f299,plain,
( spl0_16
| ~ spl0_23
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f298,f106,f132,f92]) ).
fof(f315,plain,
( product(e_1,e_1,e_2)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f215,f71]) ).
fof(f317,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(e_3,X0)
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f141,f43]) ).
fof(f325,plain,
( product(e_2,e_3,e_1)
| ~ spl0_11
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f88,f162]) ).
fof(f326,plain,
( spl0_12
| ~ spl0_11
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f325,f92,f87,f61]) ).
fof(f328,plain,
( product(e_3,e_2,e_2)
| ~ spl0_11
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f171,f62]) ).
fof(f332,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(e_1,X0,e_3)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f127,f45]) ).
fof(f352,plain,
( equalish(e_3,e_1)
| ~ spl0_25
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f317,f315]) ).
fof(f353,plain,
( $false
| ~ spl0_25
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f35]) ).
fof(f354,plain,
( ~ spl0_25
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f353]) ).
fof(f359,plain,
( equalish(e_1,e_2)
| ~ spl0_13
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f96,f245]) ).
fof(f360,plain,
( $false
| ~ spl0_13
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f359,f31]) ).
fof(f361,plain,
( ~ spl0_13
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f360]) ).
fof(f364,plain,
( product(e_1,e_1,e_2)
| ~ spl0_12
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f257,f127]) ).
fof(f369,plain,
! [X0] :
( ~ product(e_1,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_12
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f364,f45]) ).
fof(f371,plain,
( product(e_2,e_2,e_1)
| ~ spl0_12
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f369,f364]) ).
fof(f372,plain,
( spl0_6
| ~ spl0_12
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f371,f70,f92,f126]) ).
fof(f378,plain,
( equalish(e_3,e_1)
| ~ spl0_0
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f48,f224]) ).
fof(f379,plain,
( $false
| ~ spl0_0
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f378,f35]) ).
fof(f380,plain,
( ~ spl0_0
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f379]) ).
fof(f381,plain,
( product(e_2,e_2,e_1)
| ~ spl0_25
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f141,f248]) ).
fof(f382,plain,
( spl0_6
| ~ spl0_25
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f381,f70,f140,f106]) ).
fof(f383,plain,
( product(e_1,e_3,e_1)
| ~ spl0_11
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f88,f166]) ).
fof(f384,plain,
( spl0_15
| ~ spl0_11
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f383,f103,f87,f58]) ).
fof(f387,plain,
! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(e_2,X0)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f130,f41]) ).
fof(f389,plain,
( equalish(e_1,e_3)
| ~ spl0_26
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f261,f122]) ).
fof(f390,plain,
( $false
| ~ spl0_26
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f32]) ).
fof(f391,plain,
( ~ spl0_26
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f390]) ).
fof(f392,plain,
( equalish(e_1,e_3)
| ~ spl0_19
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f119,f245]) ).
fof(f393,plain,
( $false
| ~ spl0_19
| ~ spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f392,f32]) ).
fof(f394,plain,
( ~ spl0_19
| ~ spl0_16 ),
inference(contradiction_clause,[status(thm)],[f393]) ).
fof(f398,plain,
( equalish(e_1,e_3)
| ~ spl0_13
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f96,f181]) ).
fof(f399,plain,
( $false
| ~ spl0_13
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f398,f32]) ).
fof(f400,plain,
( ~ spl0_13
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f399]) ).
fof(f401,plain,
( product(e_3,e_3,e_2)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f204,f77]) ).
fof(f403,plain,
! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(e_3,X0)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f401,f41]) ).
fof(f411,plain,
! [X0] :
( ~ product(e_1,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f51,f45]) ).
fof(f412,plain,
( product(e_2,e_2,e_1)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f411,f51]) ).
fof(f413,plain,
( spl0_6
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f412,f70,f50]) ).
fof(f415,plain,
! [X0] :
( ~ product(X0,e_1,e_1)
| equalish(e_1,X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f48,f43]) ).
fof(f427,plain,
( spl0_19
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f401,f118,f76]) ).
fof(f431,plain,
! [X0] :
( ~ product(e_3,e_3,X0)
| product(e_1,X0,e_3)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f116,f45]) ).
fof(f432,plain,
( product(e_1,e_1,e_3)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f431,f116]) ).
fof(f442,plain,
! [X0] :
( ~ product(e_3,e_3,X0)
| equalish(e_2,X0)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f119,f39]) ).
fof(f443,plain,
! [X0] :
( ~ product(e_3,e_3,X0)
| product(e_2,X0,e_3)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f119,f45]) ).
fof(f444,plain,
( product(e_3,e_3,e_1)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f152,f54]) ).
fof(f452,plain,
( equalish(e_2,e_1)
| ~ spl0_10
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f85,f235]) ).
fof(f453,plain,
( $false
| ~ spl0_10
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f452,f33]) ).
fof(f454,plain,
( ~ spl0_10
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( equalish(e_2,e_3)
| ~ spl0_24
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f138,f192]) ).
fof(f457,plain,
( $false
| ~ spl0_24
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f456,f34]) ).
fof(f458,plain,
( ~ spl0_24
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( equalish(e_2,e_1)
| ~ spl0_2
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f444,f442]) ).
fof(f461,plain,
( $false
| ~ spl0_2
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f33]) ).
fof(f462,plain,
( ~ spl0_2
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f461]) ).
fof(f474,plain,
( equalish(e_1,e_2)
| ~ spl0_9
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f82,f415]) ).
fof(f475,plain,
( $false
| ~ spl0_9
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f31]) ).
fof(f476,plain,
( ~ spl0_9
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f475]) ).
fof(f496,plain,
( equalish(e_1,e_2)
| ~ spl0_14
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f99,f216]) ).
fof(f497,plain,
( $false
| ~ spl0_14
| ~ spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f496,f31]) ).
fof(f498,plain,
( ~ spl0_14
| ~ spl0_17 ),
inference(contradiction_clause,[status(thm)],[f497]) ).
fof(f512,plain,
( spl0_2
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f432,f53,f115]) ).
fof(f527,plain,
( product(e_1,e_1,e_3)
| ~ spl0_12
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f93,f332]) ).
fof(f528,plain,
( spl0_2
| ~ spl0_12
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f527,f53,f92,f126]) ).
fof(f536,plain,
( equalish(e_3,e_2)
| ~ spl0_11
| ~ spl0_4
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f328,f403]) ).
fof(f537,plain,
( $false
| ~ spl0_11
| ~ spl0_4
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f536,f36]) ).
fof(f538,plain,
( ~ spl0_11
| ~ spl0_4
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f537]) ).
fof(f541,plain,
( product(e_3,e_1,e_2)
| ~ spl0_21
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f127,f241]) ).
fof(f542,plain,
( spl0_25
| ~ spl0_21
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f541,f140,f126,f98]) ).
fof(f547,plain,
( equalish(e_3,e_1)
| ~ spl0_6
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f71,f203]) ).
fof(f548,plain,
( $false
| ~ spl0_6
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f547,f35]) ).
fof(f549,plain,
( ~ spl0_6
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f548]) ).
fof(f570,plain,
( product(e_2,e_2,e_3)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f119,f443]) ).
fof(f571,plain,
( spl0_8
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f570,f76,f118]) ).
fof(f572,plain,
( equalish(e_2,e_3)
| ~ spl0_19
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f119,f387]) ).
fof(f573,plain,
( $false
| ~ spl0_19
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f572,f34]) ).
fof(f574,plain,
( ~ spl0_19
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f580,plain,
( product(e_3,e_2,e_1)
| ~ spl0_2
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f152,f315]) ).
fof(f581,plain,
( spl0_21
| ~ spl0_2
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f580,f126,f53,f70]) ).
fof(f582,plain,
( equalish(e_3,e_2)
| ~ spl0_12
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f255,f71]) ).
fof(f583,plain,
( $false
| ~ spl0_12
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f582,f36]) ).
fof(f584,plain,
( ~ spl0_12
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f596,plain,
( equalish(e_2,e_3)
| ~ spl0_17
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f110,f292]) ).
fof(f597,plain,
( $false
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f596,f34]) ).
fof(f598,plain,
( ~ spl0_17
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f597]) ).
fof(f599,plain,
$false,
inference(sat_refutation,[status(thm)],[f57,f68,f80,f91,f102,f113,f125,f136,f147,f158,f198,f211,f222,f233,f244,f268,f276,f285,f299,f326,f354,f361,f372,f380,f382,f384,f391,f394,f400,f413,f427,f454,f458,f462,f476,f498,f512,f528,f538,f542,f549,f571,f574,f581,f584,f598]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP133-2.003 : TPTP v8.1.2. Released v1.2.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n014.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:23:18 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.40 % Elapsed time: 0.076640 seconds
% 0.16/0.40 % CPU time: 0.289828 seconds
% 0.16/0.40 % Memory used: 6.087 MB
%------------------------------------------------------------------------------