TSTP Solution File: GRP133-1.003 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP133-1.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 : Tue Apr 30 20:19:29 EDT 2024
% Result : Unsatisfiable 0.16s 0.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 41
% Syntax : Number of formulae : 289 ( 19 unt; 0 def)
% Number of atoms : 784 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 957 ( 462 ~; 468 |; 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 : 97 ( 97 !; 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(f8,axiom,
~ equalish(e_3,e_1),
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(Y,X,Z2)
| product(Z1,Z2,X) ),
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(f22,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(esa)],[f8]) ).
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(Y,X,Z2) )
| product(Z1,Z2,X) ),
inference(miniscoping,[status(esa)],[f14]) ).
fof(f32,plain,
! [X0,X1,X2,X3] :
( ~ product(X0,X1,X2)
| ~ product(X1,X0,X3)
| product(X2,X3,X0) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f33,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)],[f24,f17]) ).
fof(f34,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)],[f24,f16]) ).
fof(f35,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)],[f24,f15]) ).
fof(f36,plain,
( spl0_0
<=> product(e_3,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f37,plain,
( product(e_3,e_3,e_1)
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f36]) ).
fof(f39,plain,
( spl0_1
<=> product(e_3,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f40,plain,
( product(e_3,e_3,e_2)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f39]) ).
fof(f42,plain,
( spl0_2
<=> product(e_3,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f43,plain,
( product(e_3,e_3,e_3)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f42]) ).
fof(f45,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)],[f33,f17]) ).
fof(f46,plain,
( spl0_0
| spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f45,f36,f39,f42]) ).
fof(f47,plain,
( spl0_3
<=> product(e_3,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f48,plain,
( product(e_3,e_2,e_1)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,plain,
( spl0_4
<=> product(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f51,plain,
( product(e_3,e_2,e_2)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( spl0_5
<=> product(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f54,plain,
( product(e_3,e_2,e_3)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f53]) ).
fof(f56,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)],[f33,f16]) ).
fof(f57,plain,
( spl0_3
| spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f56,f47,f50,f53]) ).
fof(f58,plain,
( spl0_6
<=> product(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f59,plain,
( product(e_3,e_1,e_1)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f58]) ).
fof(f61,plain,
( spl0_7
<=> product(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f62,plain,
( product(e_3,e_1,e_2)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f61]) ).
fof(f64,plain,
( spl0_8
<=> product(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f65,plain,
( product(e_3,e_1,e_3)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f64]) ).
fof(f67,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)],[f33,f15]) ).
fof(f68,plain,
( spl0_6
| spl0_7
| spl0_8 ),
inference(split_clause,[status(thm)],[f67,f58,f61,f64]) ).
fof(f69,plain,
( spl0_9
<=> product(e_2,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f70,plain,
( product(e_2,e_3,e_1)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f69]) ).
fof(f72,plain,
( spl0_10
<=> product(e_2,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f73,plain,
( product(e_2,e_3,e_2)
| ~ spl0_10 ),
inference(component_clause,[status(thm)],[f72]) ).
fof(f75,plain,
( spl0_11
<=> product(e_2,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f76,plain,
( product(e_2,e_3,e_3)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f75]) ).
fof(f78,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)],[f34,f17]) ).
fof(f79,plain,
( spl0_9
| spl0_10
| spl0_11 ),
inference(split_clause,[status(thm)],[f78,f69,f72,f75]) ).
fof(f80,plain,
( spl0_12
<=> product(e_2,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f81,plain,
( product(e_2,e_2,e_1)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( spl0_13
<=> product(e_2,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f84,plain,
( product(e_2,e_2,e_2)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f83]) ).
fof(f86,plain,
( spl0_14
<=> product(e_2,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f87,plain,
( product(e_2,e_2,e_3)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f86]) ).
fof(f91,plain,
( spl0_15
<=> product(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f92,plain,
( product(e_2,e_1,e_1)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,plain,
( spl0_16
<=> product(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f95,plain,
( product(e_2,e_1,e_2)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,plain,
( spl0_17
<=> product(e_2,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f98,plain,
( product(e_2,e_1,e_3)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f97]) ).
fof(f100,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)],[f34,f15]) ).
fof(f101,plain,
( spl0_15
| spl0_16
| spl0_17 ),
inference(split_clause,[status(thm)],[f100,f91,f94,f97]) ).
fof(f102,plain,
( spl0_18
<=> product(e_1,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f103,plain,
( product(e_1,e_3,e_1)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,plain,
( spl0_19
<=> product(e_1,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f106,plain,
( product(e_1,e_3,e_2)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,plain,
( spl0_20
<=> product(e_1,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f109,plain,
( product(e_1,e_3,e_3)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f111,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)],[f35,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_1,e_2,e_1) ),
introduced(split_symbol_definition) ).
fof(f114,plain,
( product(e_1,e_2,e_1)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( spl0_22
<=> product(e_1,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f117,plain,
( product(e_1,e_2,e_2)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( spl0_23
<=> product(e_1,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f120,plain,
( product(e_1,e_2,e_3)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,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)],[f35,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_1,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f125,plain,
( product(e_1,e_1,e_1)
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f127,plain,
( spl0_25
<=> product(e_1,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f128,plain,
( product(e_1,e_1,e_2)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f130,plain,
( spl0_26
<=> product(e_1,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f131,plain,
( product(e_1,e_1,e_3)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f130]) ).
fof(f133,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)],[f35,f15]) ).
fof(f134,plain,
( spl0_24
| spl0_25
| spl0_26 ),
inference(split_clause,[status(thm)],[f133,f124,f127,f130]) ).
fof(f138,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| product(e_3,X0,e_3)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f65,f32]) ).
fof(f142,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| product(e_2,X0,e_3)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f62,f32]) ).
fof(f146,plain,
! [X0] :
( ~ product(e_1,e_3,X0)
| product(e_1,X0,e_3)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f59,f32]) ).
fof(f150,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(e_3,X0,e_3)
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f54,f32]) ).
fof(f154,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(e_2,X0,e_3)
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f51,f32]) ).
fof(f158,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| product(e_1,X0,e_3)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f48,f32]) ).
fof(f160,plain,
! [X0] :
( ~ product(e_3,X0,e_3)
| equalish(e_3,X0)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f43,f28]) ).
fof(f167,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_3,X0,e_2)
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f98,f32]) ).
fof(f171,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_2,X0,e_2)
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f95,f32]) ).
fof(f172,plain,
! [X0] :
( ~ product(X0,e_1,e_1)
| equalish(e_2,X0)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f92,f30]) ).
fof(f175,plain,
! [X0] :
( ~ product(e_1,e_2,X0)
| product(e_1,X0,e_2)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f92,f32]) ).
fof(f179,plain,
! [X0] :
( ~ product(e_2,e_2,X0)
| product(e_3,X0,e_2)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f87,f32]) ).
fof(f180,plain,
( product(e_3,e_3,e_2)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f179,f87]) ).
fof(f181,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(e_3,X0)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f180,f30]) ).
fof(f182,plain,
! [X0] :
( ~ product(e_3,X0,e_2)
| equalish(e_3,X0)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f180,f28]) ).
fof(f187,plain,
( equalish(e_3,e_2)
| ~ spl0_14
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f182,f51]) ).
fof(f188,plain,
( $false
| ~ spl0_14
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f187,f23]) ).
fof(f189,plain,
( ~ spl0_14
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f188]) ).
fof(f198,plain,
! [X0] :
( ~ product(e_2,e_2,X0)
| product(e_1,X0,e_2)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f81,f32]) ).
fof(f202,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(e_3,X0,e_2)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f76,f32]) ).
fof(f203,plain,
( product(e_3,e_3,e_2)
| ~ spl0_11
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f202,f54]) ).
fof(f217,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(e_2,X0,e_2)
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f73,f32]) ).
fof(f221,plain,
! [X0] :
( ~ product(e_3,e_2,X0)
| product(e_1,X0,e_2)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f70,f32]) ).
fof(f225,plain,
! [X0] :
( ~ product(e_1,e_1,X0)
| product(e_3,X0,e_1)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f131,f32]) ).
fof(f237,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_3,X0,e_1)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f120,f32]) ).
fof(f239,plain,
( product(e_3,e_2,e_2)
| ~ spl0_22
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f117,f167]) ).
fof(f243,plain,
! [X0] :
( ~ product(e_2,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f117,f32]) ).
fof(f246,plain,
! [X0] :
( ~ product(e_1,X0,e_1)
| equalish(e_2,X0)
| ~ spl0_21 ),
inference(resolution,[status(thm)],[f114,f28]) ).
fof(f252,plain,
! [X0] :
( ~ product(X0,e_3,e_3)
| equalish(e_1,X0)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f109,f30]) ).
fof(f253,plain,
! [X0] :
( ~ product(e_1,X0,e_3)
| equalish(e_3,X0)
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f109,f28]) ).
fof(f256,plain,
( product(e_3,e_1,e_2)
| ~ spl0_21
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f114,f167]) ).
fof(f257,plain,
( spl0_7
| ~ spl0_21
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f256,f61,f113,f97]) ).
fof(f258,plain,
( product(e_3,e_1,e_2)
| ~ spl0_11
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f202,f48]) ).
fof(f258_001,plain,
( product(e_3,e_1,e_2)
| ~ spl0_11
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f202,f48]) ).
fof(f260,plain,
( product(e_3,e_2,e_3)
| ~ spl0_19
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f106,f138]) ).
fof(f261,plain,
( spl0_5
| ~ spl0_19
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f260,f53,f105,f64]) ).
fof(f270,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_1,X0,e_1)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f103,f32]) ).
fof(f273,plain,
! [X0] :
( ~ product(e_3,e_3,X0)
| equalish(e_2,X0)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f40,f26]) ).
fof(f274,plain,
! [X0] :
( ~ product(e_3,e_3,X0)
| product(e_2,X0,e_3)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f40,f32]) ).
fof(f275,plain,
! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(e_3,X0)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f37,f30]) ).
fof(f278,plain,
! [X0] :
( ~ product(e_3,e_3,X0)
| product(e_1,X0,e_3)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f37,f32]) ).
fof(f279,plain,
! [X0] :
( ~ product(X0,e_2,e_2)
| equalish(e_3,X0)
| ~ spl0_22
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f239,f30]) ).
fof(f292,plain,
( equalish(e_3,e_1)
| ~ spl0_17
| ~ spl0_22 ),
inference(resolution,[status(thm)],[f279,f117]) ).
fof(f293,plain,
( $false
| ~ spl0_17
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f22]) ).
fof(f294,plain,
( ~ spl0_17
| ~ spl0_22 ),
inference(contradiction_clause,[status(thm)],[f293]) ).
fof(f295,plain,
( product(e_1,e_2,e_2)
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f198,f84]) ).
fof(f297,plain,
( product(e_1,e_3,e_2)
| ~ spl0_23
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f120,f175]) ).
fof(f300,plain,
! [X0] :
( ~ product(X0,e_2,e_2)
| equalish(e_1,X0)
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f295,f30]) ).
fof(f309,plain,
! [X0] :
( ~ product(X0,e_3,e_2)
| equalish(e_1,X0)
| ~ spl0_23
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f297,f30]) ).
fof(f314,plain,
( equalish(e_1,e_2)
| ~ spl0_12
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f300,f84]) ).
fof(f315,plain,
( $false
| ~ spl0_12
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f314,f18]) ).
fof(f316,plain,
( ~ spl0_12
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f315]) ).
fof(f321,plain,
( equalish(e_1,e_2)
| ~ spl0_23
| ~ spl0_15
| ~ spl0_10 ),
inference(resolution,[status(thm)],[f309,f73]) ).
fof(f322,plain,
( $false
| ~ spl0_23
| ~ spl0_15
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f321,f18]) ).
fof(f323,plain,
( ~ spl0_23
| ~ spl0_15
| ~ spl0_10 ),
inference(contradiction_clause,[status(thm)],[f322]) ).
fof(f324,plain,
( product(e_1,e_3,e_2)
| ~ spl0_9
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f221,f54]) ).
fof(f327,plain,
( product(e_2,e_3,e_2)
| ~ spl0_23
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f120,f171]) ).
fof(f328,plain,
( spl0_10
| ~ spl0_23
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f327,f72,f119,f94]) ).
fof(f329,plain,
( equalish(e_1,e_3)
| ~ spl0_23
| ~ spl0_15
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f309,f40]) ).
fof(f330,plain,
( $false
| ~ spl0_23
| ~ spl0_15
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f329,f19]) ).
fof(f331,plain,
( ~ spl0_23
| ~ spl0_15
| ~ spl0_1 ),
inference(contradiction_clause,[status(thm)],[f330]) ).
fof(f332,plain,
( product(e_1,e_2,e_3)
| ~ spl0_9
| ~ spl0_5
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f324,f146]) ).
fof(f333,plain,
( spl0_23
| ~ spl0_9
| ~ spl0_5
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f332,f119,f69,f53,f58]) ).
fof(f335,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_3,X0)
| ~ spl0_9
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f324,f28]) ).
fof(f338,plain,
! [X0] :
( ~ product(X0,e_1,e_2)
| equalish(e_3,X0)
| ~ spl0_11
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f258,f30]) ).
fof(f343,plain,
( equalish(e_3,e_1)
| ~ spl0_11
| ~ spl0_3
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f338,f128]) ).
fof(f344,plain,
( $false
| ~ spl0_11
| ~ spl0_3
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f343,f22]) ).
fof(f345,plain,
( ~ spl0_11
| ~ spl0_3
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f344]) ).
fof(f348,plain,
( product(e_3,e_3,e_1)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f225,f131]) ).
fof(f349,plain,
( spl0_0
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f348,f36,f130]) ).
fof(f352,plain,
( product(e_1,e_1,e_3)
| ~ spl0_9
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f70,f158]) ).
fof(f353,plain,
( spl0_26
| ~ spl0_9
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f352,f130,f69,f47]) ).
fof(f354,plain,
( product(e_1,e_1,e_2)
| ~ spl0_21
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f114,f175]) ).
fof(f355,plain,
( spl0_25
| ~ spl0_21
| ~ spl0_15 ),
inference(split_clause,[status(thm)],[f354,f127,f113,f91]) ).
fof(f358,plain,
( product(e_3,e_3,e_2)
| ~ spl0_23
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f120,f167]) ).
fof(f358_002,plain,
( product(e_3,e_3,e_2)
| ~ spl0_23
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f120,f167]) ).
fof(f366,plain,
! [X0] :
( ~ product(e_3,e_3,X0)
| equalish(e_2,X0)
| ~ spl0_23
| ~ spl0_17 ),
inference(resolution,[status(thm)],[f358,f26]) ).
fof(f375,plain,
( product(e_1,e_1,e_3)
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f37,f278]) ).
fof(f376,plain,
( spl0_26
| ~ spl0_0 ),
inference(split_clause,[status(thm)],[f375,f130,f36]) ).
fof(f381,plain,
( product(e_2,e_1,e_2)
| ~ spl0_10
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f217,f48]) ).
fof(f385,plain,
! [X0] :
( ~ product(e_2,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_10
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f381,f28]) ).
fof(f401,plain,
( equalish(e_2,e_1)
| ~ spl0_23
| ~ spl0_17
| ~ spl0_0 ),
inference(resolution,[status(thm)],[f366,f37]) ).
fof(f402,plain,
( $false
| ~ spl0_23
| ~ spl0_17
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f401,f20]) ).
fof(f403,plain,
( ~ spl0_23
| ~ spl0_17
| ~ spl0_0 ),
inference(contradiction_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( product(e_1,e_1,e_2)
| ~ spl0_9
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f221,f48]) ).
fof(f408,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_9
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f405,f28]) ).
fof(f410,plain,
! [X0] :
( ~ product(e_1,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_9
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f405,f32]) ).
fof(f458,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f106,f32]) ).
fof(f462,plain,
( product(e_2,e_1,e_1)
| ~ spl0_19
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f458,f59]) ).
fof(f463,plain,
( spl0_15
| ~ spl0_19
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f462,f91,f105,f58]) ).
fof(f472,plain,
( product(e_1,e_2,e_1)
| ~ spl0_7
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f62,f270]) ).
fof(f487,plain,
( product(e_2,e_2,e_1)
| ~ spl0_19
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f458,f62]) ).
fof(f488,plain,
( spl0_12
| ~ spl0_19
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f487,f80,f105,f61]) ).
fof(f507,plain,
( product(e_1,e_1,e_2)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f198,f81]) ).
fof(f509,plain,
! [X0] :
( ~ product(e_1,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f507,f28]) ).
fof(f513,plain,
( product(e_2,e_2,e_3)
| ~ spl0_19
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f106,f142]) ).
fof(f514,plain,
( spl0_14
| ~ spl0_19
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f513,f86,f105,f61]) ).
fof(f515,plain,
( equalish(e_1,e_3)
| ~ spl0_19
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f106,f509]) ).
fof(f516,plain,
( $false
| ~ spl0_19
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f515,f19]) ).
fof(f517,plain,
( ~ spl0_19
| ~ spl0_12 ),
inference(contradiction_clause,[status(thm)],[f516]) ).
fof(f523,plain,
( equalish(e_3,e_1)
| ~ spl0_14
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f182,f62]) ).
fof(f524,plain,
( $false
| ~ spl0_14
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f523,f22]) ).
fof(f525,plain,
( ~ spl0_14
| ~ spl0_7 ),
inference(contradiction_clause,[status(thm)],[f524]) ).
fof(f526,plain,
( product(e_1,e_2,e_3)
| ~ spl0_19
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f106,f146]) ).
fof(f527,plain,
( spl0_23
| ~ spl0_19
| ~ spl0_6 ),
inference(split_clause,[status(thm)],[f526,f119,f105,f58]) ).
fof(f537,plain,
( spl0_1
| ~ spl0_11
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f203,f39,f75,f53]) ).
fof(f538,plain,
( product(e_3,e_3,e_3)
| ~ spl0_11
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f76,f150]) ).
fof(f539,plain,
( spl0_2
| ~ spl0_11
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f538,f42,f75,f53]) ).
fof(f586,plain,
( equalish(e_2,e_1)
| ~ spl0_15
| ~ spl0_24 ),
inference(resolution,[status(thm)],[f172,f125]) ).
fof(f587,plain,
( $false
| ~ spl0_15
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f586,f20]) ).
fof(f588,plain,
( ~ spl0_15
| ~ spl0_24 ),
inference(contradiction_clause,[status(thm)],[f587]) ).
fof(f594,plain,
( product(e_3,e_3,e_1)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f131,f225]) ).
fof(f600,plain,
( equalish(e_1,e_3)
| ~ spl0_9
| ~ spl0_3
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f408,f106]) ).
fof(f601,plain,
( $false
| ~ spl0_9
| ~ spl0_3
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f19]) ).
fof(f602,plain,
( ~ spl0_9
| ~ spl0_3
| ~ spl0_19 ),
inference(contradiction_clause,[status(thm)],[f601]) ).
fof(f608,plain,
( product(e_2,e_3,e_2)
| ~ spl0_16
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f171,f120]) ).
fof(f612,plain,
( product(e_2,e_2,e_1)
| ~ spl0_9
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f410,f405]) ).
fof(f613,plain,
( spl0_12
| ~ spl0_9
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f612,f80,f69,f47]) ).
fof(f625,plain,
( product(e_3,e_1,e_1)
| ~ spl0_15
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f92,f237]) ).
fof(f626,plain,
( spl0_6
| ~ spl0_15
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f625,f58,f91,f119]) ).
fof(f628,plain,
( spl0_21
| ~ spl0_7
| ~ spl0_18 ),
inference(split_clause,[status(thm)],[f472,f113,f61,f102]) ).
fof(f635,plain,
( product(e_3,e_2,e_1)
| ~ spl0_16
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f95,f237]) ).
fof(f636,plain,
( spl0_3
| ~ spl0_16
| ~ spl0_23 ),
inference(split_clause,[status(thm)],[f635,f47,f94,f119]) ).
fof(f666,plain,
( equalish(e_3,e_1)
| ~ spl0_9
| ~ spl0_5
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f335,f128]) ).
fof(f667,plain,
( $false
| ~ spl0_9
| ~ spl0_5
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f666,f22]) ).
fof(f668,plain,
( ~ spl0_9
| ~ spl0_5
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f667]) ).
fof(f669,plain,
( product(e_2,e_2,e_3)
| ~ spl0_1 ),
inference(resolution,[status(thm)],[f274,f40]) ).
fof(f670,plain,
( spl0_14
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f669,f86,f39]) ).
fof(f709,plain,
( equalish(e_2,e_3)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f273,f43]) ).
fof(f710,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f709,f21]) ).
fof(f711,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f710]) ).
fof(f716,plain,
! [X0] :
( ~ product(e_3,e_1,X0)
| product(e_2,X0,e_1)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f106,f32]) ).
fof(f735,plain,
( product(e_1,e_2,e_2)
| ~ spl0_4
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f51,f221]) ).
fof(f736,plain,
( spl0_22
| ~ spl0_4
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f735,f116,f50,f69]) ).
fof(f754,plain,
( product(e_2,e_2,e_1)
| ~ spl0_22
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f243,f95]) ).
fof(f755,plain,
( spl0_12
| ~ spl0_22
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f754,f80,f116,f94]) ).
fof(f770,plain,
( equalish(e_3,e_2)
| ~ spl0_0
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f275,f70]) ).
fof(f771,plain,
( $false
| ~ spl0_0
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f770,f23]) ).
fof(f772,plain,
( ~ spl0_0
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f771]) ).
fof(f774,plain,
( spl0_1
| ~ spl0_23
| ~ spl0_17 ),
inference(split_clause,[status(thm)],[f358,f39,f119,f97]) ).
fof(f775,plain,
( product(e_1,e_3,e_2)
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f54,f221]) ).
fof(f779,plain,
( product(e_2,e_3,e_1)
| ~ spl0_8
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f65,f716]) ).
fof(f784,plain,
( equalish(e_3,e_1)
| ~ spl0_14
| ~ spl0_5
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f181,f775]) ).
fof(f785,plain,
( $false
| ~ spl0_14
| ~ spl0_5
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f784,f22]) ).
fof(f786,plain,
( ~ spl0_14
| ~ spl0_5
| ~ spl0_9 ),
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f791,plain,
( equalish(e_3,e_2)
| ~ spl0_16
| ~ spl0_23
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f608,f181]) ).
fof(f792,plain,
( $false
| ~ spl0_16
| ~ spl0_23
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f791,f23]) ).
fof(f793,plain,
( ~ spl0_16
| ~ spl0_23
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f792]) ).
fof(f797,plain,
( product(e_1,e_3,e_2)
| ~ spl0_14
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f87,f198]) ).
fof(f798,plain,
( spl0_19
| ~ spl0_14
| ~ spl0_12 ),
inference(split_clause,[status(thm)],[f797,f105,f86,f80]) ).
fof(f803,plain,
( spl0_9
| ~ spl0_8
| ~ spl0_19 ),
inference(split_clause,[status(thm)],[f779,f69,f64,f105]) ).
fof(f813,plain,
( equalish(e_3,e_2)
| ~ spl0_10
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f73,f181]) ).
fof(f814,plain,
( $false
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f813,f23]) ).
fof(f815,plain,
( ~ spl0_10
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f816,plain,
! [X0] :
( ~ product(X0,e_3,e_1)
| equalish(e_3,X0)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f594,f30]) ).
fof(f856,plain,
( equalish(e_3,e_1)
| ~ spl0_26
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f816,f103]) ).
fof(f857,plain,
( $false
| ~ spl0_26
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f856,f22]) ).
fof(f858,plain,
( ~ spl0_26
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f857]) ).
fof(f861,plain,
( spl0_7
| ~ spl0_11
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f258,f61,f75,f47]) ).
fof(f884,plain,
( equalish(e_1,e_3)
| ~ spl0_10
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f73,f385]) ).
fof(f885,plain,
( $false
| ~ spl0_10
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f884,f19]) ).
fof(f886,plain,
( ~ spl0_10
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f885]) ).
fof(f887,plain,
( equalish(e_2,e_3)
| ~ spl0_15
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f172,f59]) ).
fof(f888,plain,
( $false
| ~ spl0_15
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f887,f21]) ).
fof(f889,plain,
( ~ spl0_15
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f888]) ).
fof(f941,plain,
( equalish(e_3,e_1)
| ~ spl0_2
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f160,f65]) ).
fof(f942,plain,
( $false
| ~ spl0_2
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f941,f22]) ).
fof(f943,plain,
( ~ spl0_2
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f942]) ).
fof(f945,plain,
( product(e_3,e_3,e_3)
| ~ spl0_20
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f109,f138]) ).
fof(f946,plain,
( spl0_2
| ~ spl0_20
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f945,f42,f108,f64]) ).
fof(f953,plain,
( product(e_2,e_2,e_3)
| ~ spl0_10
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f73,f154]) ).
fof(f954,plain,
( spl0_14
| ~ spl0_10
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f953,f86,f72,f50]) ).
fof(f970,plain,
( product(e_2,e_2,e_2)
| ~ spl0_22
| ~ spl0_16 ),
inference(resolution,[status(thm)],[f117,f171]) ).
fof(f971,plain,
( spl0_13
| ~ spl0_22
| ~ spl0_16 ),
inference(split_clause,[status(thm)],[f970,f83,f116,f94]) ).
fof(f1017,plain,
( equalish(e_1,e_3)
| ~ spl0_20
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f252,f43]) ).
fof(f1018,plain,
( $false
| ~ spl0_20
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1017,f19]) ).
fof(f1019,plain,
( ~ spl0_20
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f1018]) ).
fof(f1025,plain,
( equalish(e_3,e_1)
| ~ spl0_26
| ~ spl0_20 ),
inference(resolution,[status(thm)],[f131,f253]) ).
fof(f1026,plain,
( $false
| ~ spl0_26
| ~ spl0_20 ),
inference(forward_subsumption_resolution,[status(thm)],[f1025,f22]) ).
fof(f1027,plain,
( ~ spl0_26
| ~ spl0_20 ),
inference(contradiction_clause,[status(thm)],[f1026]) ).
fof(f1083,plain,
( equalish(e_2,e_3)
| ~ spl0_21
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f246,f103]) ).
fof(f1084,plain,
( $false
| ~ spl0_21
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f1083,f21]) ).
fof(f1085,plain,
( ~ spl0_21
| ~ spl0_18 ),
inference(contradiction_clause,[status(thm)],[f1084]) ).
fof(f1086,plain,
$false,
inference(sat_refutation,[status(thm)],[f46,f57,f68,f79,f101,f112,f123,f134,f189,f257,f261,f294,f316,f323,f328,f331,f333,f345,f349,f353,f355,f376,f403,f463,f488,f514,f517,f525,f527,f537,f539,f588,f602,f613,f626,f628,f636,f668,f670,f711,f736,f755,f772,f774,f786,f793,f798,f803,f815,f858,f861,f886,f889,f943,f946,f954,f971,f1019,f1027,f1085]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP133-1.003 : TPTP v8.1.2. Released v1.2.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n004.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 Apr 30 00:27:03 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.33 % Drodi V3.6.0
% 0.16/0.50 % Refutation found
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.51 % Elapsed time: 0.183519 seconds
% 0.16/0.51 % CPU time: 1.396904 seconds
% 0.16/0.51 % Total memory used: 16.805 MB
% 0.16/0.51 % Net memory used: 14.852 MB
%------------------------------------------------------------------------------