TSTP Solution File: GRP128-1.003 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP128-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n024.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 12:10:36 EDT 2023
% Result : Unsatisfiable 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 38
% Syntax : Number of formulae : 205 ( 18 unt; 0 def)
% Number of atoms : 509 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 570 ( 266 ~; 279 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 29 ( 28 usr; 26 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 82 (; 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,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(f11,axiom,
! [X,Y,W,Z] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,W,Y,Z] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [W,Y,X,Z] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X,Y,Z1,Z2] :
( ~ product(X,Y,Z1)
| ~ product(Z1,Y,Z2)
| product(X,Z1,Z2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f19,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f20,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f23,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,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)],[f10]) ).
fof(f25,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,Y,W)
| ~ product(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f27,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product(X,W,Y)
| ~ product(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f12]) ).
fof(f28,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f29,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product(W,Y,X)
| ~ product(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f30,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f31,plain,
! [X,Z1,Z2] :
( ! [Y] :
( ~ product(X,Y,Z1)
| ~ product(Z1,Y,Z2) )
| product(X,Z1,Z2) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f33,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)],[f15,f24]) ).
fof(f34,plain,
( spl0_0
<=> product(e_1,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f35,plain,
( product(e_1,e_1,e_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f34]) ).
fof(f45,plain,
( spl0_3
<=> product(e_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f46,plain,
( product(e_1,e_2,e_1)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f47,plain,
( ~ product(e_1,e_2,e_1)
| spl0_3 ),
inference(component_clause,[status(thm)],[f45]) ).
fof(f48,plain,
( spl0_4
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f49,plain,
( product(e_1,e_2,e_2)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f48]) ).
fof(f51,plain,
( spl0_5
<=> product(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f52,plain,
( product(e_1,e_2,e_3)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f51]) ).
fof(f54,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)],[f16,f33]) ).
fof(f55,plain,
( spl0_3
| spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f54,f45,f48,f51]) ).
fof(f56,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)],[f16,f24]) ).
fof(f57,plain,
( spl0_6
<=> product(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( product(e_2,e_2,e_1)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f57]) ).
fof(f60,plain,
( spl0_7
<=> product(e_2,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f61,plain,
( product(e_2,e_2,e_2)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f60]) ).
fof(f63,plain,
( spl0_8
<=> product(e_2,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f64,plain,
( product(e_2,e_2,e_3)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f63]) ).
fof(f66,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)],[f56,f16]) ).
fof(f67,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f66,f57,f60,f63]) ).
fof(f68,plain,
( spl0_9
<=> product(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f69,plain,
( product(e_2,e_1,e_1)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f68]) ).
fof(f71,plain,
( spl0_10
<=> product(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f72,plain,
( product(e_2,e_1,e_2)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,plain,
( spl0_11
<=> product(e_2,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f75,plain,
( product(e_2,e_1,e_3)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f77,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)],[f56,f15]) ).
fof(f78,plain,
( spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f77,f68,f71,f74]) ).
fof(f79,plain,
( spl0_12
<=> product(e_2,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f80,plain,
( product(e_2,e_3,e_1)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,plain,
( spl0_13
<=> product(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f83,plain,
( product(e_2,e_3,e_2)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( spl0_14
<=> product(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f86,plain,
( product(e_2,e_3,e_3)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f85]) ).
fof(f88,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)],[f17,f56]) ).
fof(f89,plain,
( spl0_12
| spl0_13
| spl0_14 ),
inference(split_clause,[status(thm)],[f88,f79,f82,f85]) ).
fof(f90,plain,
( spl0_15
<=> product(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f91,plain,
( product(e_1,e_3,e_1)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f90]) ).
fof(f93,plain,
( spl0_16
<=> product(e_1,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f94,plain,
( product(e_1,e_3,e_2)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f93]) ).
fof(f96,plain,
( spl0_17
<=> product(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f97,plain,
( product(e_1,e_3,e_3)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,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)],[f17,f33]) ).
fof(f100,plain,
( spl0_15
| spl0_16
| spl0_17 ),
inference(split_clause,[status(thm)],[f99,f90,f93,f96]) ).
fof(f101,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)],[f17,f24]) ).
fof(f102,plain,
( spl0_18
<=> product(e_3,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f103,plain,
( product(e_3,e_3,e_1)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,plain,
( spl0_19
<=> product(e_3,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f108,plain,
( spl0_20
<=> product(e_3,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f109,plain,
( product(e_3,e_3,e_3)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,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)],[f101,f17]) ).
fof(f112,plain,
( spl0_18
| spl0_19
| spl0_20 ),
inference(split_clause,[status(thm)],[f111,f102,f105,f108]) ).
fof(f113,plain,
( spl0_21
<=> product(e_3,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f114,plain,
( product(e_3,e_2,e_1)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( spl0_22
<=> product(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f117,plain,
( product(e_3,e_2,e_2)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( spl0_23
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f120,plain,
( product(e_3,e_2,e_3)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,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)],[f101,f16]) ).
fof(f123,plain,
( spl0_21
| spl0_22
| spl0_23 ),
inference(split_clause,[status(thm)],[f122,f113,f116,f119]) ).
fof(f124,plain,
( spl0_24
<=> product(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f125,plain,
( product(e_3,e_1,e_1)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( spl0_25
<=> product(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f128,plain,
( product(e_3,e_1,e_2)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( spl0_26
<=> product(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f131,plain,
( product(e_3,e_1,e_3)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,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)],[f101,f15]) ).
fof(f134,plain,
( spl0_24
| spl0_25
| spl0_26 ),
inference(split_clause,[status(thm)],[f133,f124,f127,f130]) ).
fof(f145,plain,
! [X0] :
( ~ product(X0,e_2,e_2)
| equalish(e_1,X0)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f49,f30]) ).
fof(f147,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| equalish(e_2,X0)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f49,f26]) ).
fof(f148,plain,
! [X0] :
( ~ product(e_2,e_2,X0)
| product(e_1,e_2,X0)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f49,f32]) ).
fof(f152,plain,
( equalish(e_2,e_1)
| ~ spl0_3
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f46,f147]) ).
fof(f153,plain,
( $false
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f152,f20]) ).
fof(f154,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f153]) ).
fof(f156,plain,
! [X0] :
( ~ product(e_2,X0,e_3)
| equalish(e_1,X0)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f75,f28]) ).
fof(f157,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| equalish(e_3,X0)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f75,f26]) ).
fof(f160,plain,
! [X0] :
( ~ product(e_2,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f72,f28]) ).
fof(f162,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_2,e_2,X0)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f72,f32]) ).
fof(f163,plain,
( equalish(e_3,e_2)
| ~ spl0_11
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f157,f72]) ).
fof(f164,plain,
( $false
| ~ spl0_11
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f163,f23]) ).
fof(f165,plain,
( ~ spl0_11
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f164]) ).
fof(f166,plain,
! [X0] :
( ~ product(X0,e_1,e_1)
| equalish(e_2,X0)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f69,f30]) ).
fof(f167,plain,
! [X0] :
( ~ product(e_2,X0,e_1)
| equalish(e_1,X0)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f69,f28]) ).
fof(f170,plain,
( product(e_1,e_2,e_3)
| ~ spl0_8
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f64,f148]) ).
fof(f171,plain,
( spl0_5
| ~ spl0_8
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f170,f51,f63,f48]) ).
fof(f180,plain,
! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(e_2,X0)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f52,f28]) ).
fof(f186,plain,
( equalish(e_2,e_3)
| ~ spl0_17
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f97,f180]) ).
fof(f187,plain,
( $false
| ~ spl0_17
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f186,f21]) ).
fof(f188,plain,
( ~ spl0_17
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f187]) ).
fof(f192,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_1,e_1,X0)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f46,f32]) ).
fof(f196,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(e_1,e_2,X0)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f94,f32]) ).
fof(f203,plain,
! [X0] :
( ~ product(X0,e_3,e_3)
| equalish(e_2,X0)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f86,f30]) ).
fof(f207,plain,
! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(e_1,X0)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f91,f30]) ).
fof(f214,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(e_2,e_2,X0)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f83,f32]) ).
fof(f218,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_3,e_3,X0)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f131,f32]) ).
fof(f220,plain,
! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f128,f28]) ).
fof(f222,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_3,e_2,X0)
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f128,f32]) ).
fof(f223,plain,
( product(e_2,e_2,e_2)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f214,f83]) ).
fof(f226,plain,
! [X0] :
( ~ product(e_2,X0,e_2)
| equalish(e_2,X0)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f223,f28]) ).
fof(f228,plain,
( equalish(e_2,e_3)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f226,f83]) ).
fof(f229,plain,
( $false
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f21]) ).
fof(f230,plain,
~ spl0_13,
inference(contradiction_clause,[status(thm)],[f229]) ).
fof(f241,plain,
( equalish(e_2,e_3)
| ~ spl0_24
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f125,f166]) ).
fof(f242,plain,
( $false
| ~ spl0_24
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f241,f21]) ).
fof(f243,plain,
( ~ spl0_24
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f242]) ).
fof(f246,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| equalish(e_3,X0)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f120,f26]) ).
fof(f247,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(e_3,e_3,X0)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f120,f32]) ).
fof(f250,plain,
( equalish(e_3,e_2)
| ~ spl0_22
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f117,f246]) ).
fof(f251,plain,
( $false
| ~ spl0_22
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f250,f23]) ).
fof(f252,plain,
( ~ spl0_22
| ~ spl0_23 ),
inference(contradiction_clause,[status(thm)],[f251]) ).
fof(f253,plain,
! [X0] :
( ~ product(X0,e_2,e_1)
| equalish(e_3,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f114,f30]) ).
fof(f254,plain,
! [X0] :
( ~ product(e_3,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f114,f28]) ).
fof(f256,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_3,e_1,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f114,f32]) ).
fof(f267,plain,
( product(e_1,e_2,e_1)
| ~ spl0_6
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f58,f148]) ).
fof(f268,plain,
( spl0_3
| ~ spl0_6
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f267,f45,f57,f48]) ).
fof(f278,plain,
( equalish(e_1,e_2)
| ~ spl0_12
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f80,f207]) ).
fof(f279,plain,
( $false
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f278,f18]) ).
fof(f280,plain,
( ~ spl0_12
| ~ spl0_15 ),
inference(contradiction_clause,[status(thm)],[f279]) ).
fof(f290,plain,
! [X0] :
( ~ product(X0,e_2,e_2)
| equalish(e_3,X0)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f117,f30]) ).
fof(f299,plain,
! [X0] :
( ~ product(e_1,X0,e_1)
| equalish(e_1,X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f35,f28]) ).
fof(f301,plain,
( product(e_1,e_2,e_1)
| ~ spl0_16
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f196,f80]) ).
fof(f312,plain,
( $false
| ~ spl0_16
| ~ spl0_12
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f47,f301]) ).
fof(f313,plain,
( ~ spl0_16
| ~ spl0_12
| spl0_3 ),
inference(contradiction_clause,[status(thm)],[f312]) ).
fof(f319,plain,
! [X0] :
( ~ product(X0,e_3,e_3)
| equalish(e_1,X0)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f97,f30]) ).
fof(f328,plain,
( equalish(e_1,e_2)
| ~ spl0_7
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f61,f160]) ).
fof(f329,plain,
( $false
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f328,f18]) ).
fof(f330,plain,
( ~ spl0_7
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f329]) ).
fof(f334,plain,
( equalish(e_2,e_1)
| ~ spl0_0
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f35,f166]) ).
fof(f335,plain,
( $false
| ~ spl0_0
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f334,f20]) ).
fof(f336,plain,
( ~ spl0_0
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f335]) ).
fof(f341,plain,
( equalish(e_1,e_2)
| ~ spl0_4
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f145,f61]) ).
fof(f342,plain,
( $false
| ~ spl0_4
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f341,f18]) ).
fof(f343,plain,
( ~ spl0_4
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f342]) ).
fof(f344,plain,
( equalish(e_1,e_3)
| ~ spl0_17
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f319,f109]) ).
fof(f345,plain,
( $false
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f344,f19]) ).
fof(f346,plain,
( ~ spl0_17
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f345]) ).
fof(f347,plain,
( equalish(e_1,e_3)
| ~ spl0_9
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f167,f80]) ).
fof(f348,plain,
( $false
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f347,f19]) ).
fof(f349,plain,
( ~ spl0_9
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f348]) ).
fof(f350,plain,
( product(e_2,e_2,e_2)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f162,f72]) ).
fof(f351,plain,
( spl0_7
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f350,f60,f71]) ).
fof(f352,plain,
( equalish(e_3,e_2)
| ~ spl0_6
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f58,f253]) ).
fof(f353,plain,
( $false
| ~ spl0_6
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f352,f23]) ).
fof(f354,plain,
( ~ spl0_6
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f353]) ).
fof(f367,plain,
( equalish(e_1,e_2)
| ~ spl0_3
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f46,f299]) ).
fof(f368,plain,
( $false
| ~ spl0_3
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f367,f18]) ).
fof(f369,plain,
( ~ spl0_3
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f368]) ).
fof(f374,plain,
( product(e_1,e_1,e_1)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f46,f192]) ).
fof(f375,plain,
( spl0_0
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f374,f34,f45]) ).
fof(f376,plain,
( equalish(e_2,e_3)
| ~ spl0_18
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f103,f254]) ).
fof(f377,plain,
( $false
| ~ spl0_18
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f376,f21]) ).
fof(f378,plain,
( ~ spl0_18
| ~ spl0_21 ),
inference(contradiction_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( product(e_3,e_2,e_1)
| ~ spl0_25
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f222,f69]) ).
fof(f380,plain,
( spl0_21
| ~ spl0_25
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f379,f113,f127,f68]) ).
fof(f383,plain,
( equalish(e_1,e_2)
| ~ spl0_22
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f117,f220]) ).
fof(f384,plain,
( $false
| ~ spl0_22
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f383,f18]) ).
fof(f385,plain,
( ~ spl0_22
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f384]) ).
fof(f392,plain,
( product(e_3,e_1,e_3)
| ~ spl0_5
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f52,f256]) ).
fof(f393,plain,
( spl0_26
| ~ spl0_5
| ~ spl0_21 ),
inference(split_clause,[status(thm)],[f392,f130,f51,f113]) ).
fof(f399,plain,
( product(e_3,e_3,e_3)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f218,f131]) ).
fof(f402,plain,
( equalish(e_2,e_3)
| ~ spl0_26
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f399,f203]) ).
fof(f403,plain,
( $false
| ~ spl0_26
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f402,f21]) ).
fof(f404,plain,
( ~ spl0_26
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( product(e_3,e_3,e_3)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f247,f120]) ).
fof(f408,plain,
( equalish(e_2,e_3)
| ~ spl0_23
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f406,f203]) ).
fof(f409,plain,
( $false
| ~ spl0_23
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f21]) ).
fof(f410,plain,
( ~ spl0_23
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( equalish(e_3,e_2)
| ~ spl0_22
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f290,f61]) ).
fof(f413,plain,
( $false
| ~ spl0_22
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f412,f23]) ).
fof(f414,plain,
( ~ spl0_22
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f413]) ).
fof(f421,plain,
( equalish(e_1,e_3)
| ~ spl0_14
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f86,f156]) ).
fof(f422,plain,
( $false
| ~ spl0_14
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f421,f19]) ).
fof(f423,plain,
( ~ spl0_14
| ~ spl0_11 ),
inference(contradiction_clause,[status(thm)],[f422]) ).
fof(f424,plain,
$false,
inference(sat_refutation,[status(thm)],[f55,f67,f78,f89,f100,f112,f123,f134,f154,f165,f171,f188,f230,f243,f252,f268,f280,f313,f330,f336,f343,f346,f349,f351,f354,f369,f375,f378,f380,f385,f393,f404,f410,f414,f423]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP128-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.04/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:33:18 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.20/0.43 % Refutation found
% 0.20/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.45 % Elapsed time: 0.096919 seconds
% 0.20/0.45 % CPU time: 0.668969 seconds
% 0.20/0.45 % Memory used: 8.943 MB
%------------------------------------------------------------------------------