TSTP Solution File: GRP124-7.004 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP124-7.004 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 20:19:20 EDT 2024
% Result : Unsatisfiable 0.19s 0.41s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 48
% Syntax : Number of formulae : 196 ( 51 unt; 0 def)
% Number of atoms : 416 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 416 ( 196 ~; 195 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 26 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
group_element(e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
~ equalish(e_1,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
~ equalish(e_2,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
~ equalish(e_4,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
~ equalish(e_4,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
~ equalish(e_4,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y] :
( ~ group_element(X)
| ~ group_element(Y)
| product1(X,Y,e_1)
| product1(X,Y,e_2)
| product1(X,Y,e_3)
| product1(X,Y,e_4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y,W,Z] :
( ~ product1(X,Y,W)
| ~ product1(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,W,Y,Z] :
( ~ product1(X,W,Y)
| ~ product1(X,Z,Y)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [W,Y,X,Z] :
( ~ product1(W,Y,X)
| ~ product1(Z,Y,X)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] : product1(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X,Y,W,Z] :
( ~ product2(X,Y,W)
| ~ product2(X,Y,Z)
| equalish(W,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X,Y,Z1,Z2] :
( ~ product1(X,Y,Z1)
| ~ product1(Z1,X,Z2)
| product2(Z2,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,plain,
group_element(e_1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f50,plain,
group_element(e_2),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f51,plain,
group_element(e_3),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f52,plain,
group_element(e_4),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f53,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f54,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f55,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f56,plain,
~ equalish(e_2,e_1),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f57,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f58,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f59,plain,
~ equalish(e_3,e_1),
inference(cnf_transformation,[status(esa)],[f21]) ).
fof(f60,plain,
~ equalish(e_3,e_2),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f61,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f62,plain,
~ equalish(e_4,e_1),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f63,plain,
~ equalish(e_4,e_2),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f64,plain,
~ equalish(e_4,e_3),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f65,plain,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3)
| product1(X0,X1,e_4) ),
inference(cnf_transformation,[status(esa)],[f27]) ).
fof(f66,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product1(X,Y,W)
| ~ product1(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f28]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f68,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product1(X,W,Y)
| ~ product1(X,Z,Y) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f29]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f70,plain,
! [W,Z] :
( ! [Y,X] :
( ~ product1(W,Y,X)
| ~ product1(Z,Y,X) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f30]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f72,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f74,plain,
! [W,Z] :
( ! [X,Y] :
( ~ product2(X,Y,W)
| ~ product2(X,Y,Z) )
| equalish(W,Z) ),
inference(miniscoping,[status(esa)],[f33]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ~ product2(X0,X1,X2)
| ~ product2(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f81,plain,
! [X,Y,Z2] :
( ! [Z1] :
( ~ product1(X,Y,Z1)
| ~ product1(Z1,X,Z2) )
| product2(Z2,Y,X) ),
inference(miniscoping,[status(esa)],[f37]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ~ product1(X0,X1,X2)
| ~ product1(X2,X0,X3)
| product2(X3,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( ~ product1(X0,X0,X1)
| product2(X1,X0,X0) ),
inference(resolution,[status(thm)],[f72,f82]) ).
fof(f84,plain,
! [X0] : product2(X0,X0,X0),
inference(resolution,[status(thm)],[f83,f72]) ).
fof(f85,plain,
! [X0,X1] :
( ~ product1(X0,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f67,f72]) ).
fof(f87,plain,
! [X0,X1] :
( ~ product1(X0,X1,X0)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f69,f72]) ).
fof(f89,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| equalish(X1,X0) ),
inference(resolution,[status(thm)],[f71,f72]) ).
fof(f91,plain,
! [X0,X1] :
( ~ product2(X0,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[status(thm)],[f75,f84]) ).
fof(f97,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f65,f52]) ).
fof(f98,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f65,f51]) ).
fof(f99,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_2,X0,e_1)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_4) ),
inference(resolution,[status(thm)],[f65,f50]) ).
fof(f119,plain,
( spl0_4
<=> product1(e_4,e_3,e_1) ),
introduced(split_symbol_definition) ).
fof(f120,plain,
( product1(e_4,e_3,e_1)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f122,plain,
( spl0_5
<=> product1(e_4,e_3,e_2) ),
introduced(split_symbol_definition) ).
fof(f123,plain,
( product1(e_4,e_3,e_2)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,plain,
( spl0_6
<=> product1(e_4,e_3,e_3) ),
introduced(split_symbol_definition) ).
fof(f126,plain,
( product1(e_4,e_3,e_3)
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,plain,
( spl0_7
<=> product1(e_4,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f129,plain,
( product1(e_4,e_3,e_4)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,plain,
( product1(e_4,e_3,e_1)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_4) ),
inference(resolution,[status(thm)],[f97,f51]) ).
fof(f132,plain,
( spl0_4
| spl0_5
| spl0_6
| spl0_7 ),
inference(split_clause,[status(thm)],[f131,f119,f122,f125,f128]) ).
fof(f136,plain,
( spl0_9
<=> product1(e_4,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f137,plain,
( product1(e_4,e_2,e_2)
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f136]) ).
fof(f142,plain,
( spl0_11
<=> product1(e_4,e_2,e_4) ),
introduced(split_symbol_definition) ).
fof(f143,plain,
( product1(e_4,e_2,e_4)
| ~ spl0_11 ),
inference(component_clause,[status(thm)],[f142]) ).
fof(f147,plain,
( spl0_12
<=> product1(e_4,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f148,plain,
( product1(e_4,e_1,e_1)
| ~ spl0_12 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( spl0_13
<=> product1(e_4,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f151,plain,
( product1(e_4,e_1,e_2)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f150]) ).
fof(f153,plain,
( spl0_14
<=> product1(e_4,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f154,plain,
( product1(e_4,e_1,e_3)
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f153]) ).
fof(f156,plain,
( spl0_15
<=> product1(e_4,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f157,plain,
( product1(e_4,e_1,e_4)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f156]) ).
fof(f159,plain,
( product1(e_4,e_1,e_1)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_4) ),
inference(resolution,[status(thm)],[f97,f49]) ).
fof(f160,plain,
( spl0_12
| spl0_13
| spl0_14
| spl0_15 ),
inference(split_clause,[status(thm)],[f159,f147,f150,f153,f156]) ).
fof(f162,plain,
( equalish(e_4,e_1)
| ~ spl0_15 ),
inference(resolution,[status(thm)],[f157,f87]) ).
fof(f163,plain,
( $false
| ~ spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f162,f62]) ).
fof(f164,plain,
~ spl0_15,
inference(contradiction_clause,[status(thm)],[f163]) ).
fof(f165,plain,
! [X0] :
( ~ product1(X0,e_1,e_3)
| equalish(e_4,X0)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f154,f71]) ).
fof(f168,plain,
! [X0] :
( ~ product1(e_3,e_4,X0)
| product2(X0,e_1,e_4)
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f154,f82]) ).
fof(f175,plain,
( equalish(e_1,e_4)
| ~ spl0_12 ),
inference(resolution,[status(thm)],[f148,f89]) ).
fof(f176,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f175,f55]) ).
fof(f177,plain,
~ spl0_12,
inference(contradiction_clause,[status(thm)],[f176]) ).
fof(f178,plain,
! [X0] :
( ~ product1(X0,e_1,e_2)
| equalish(e_4,X0)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f151,f71]) ).
fof(f179,plain,
! [X0] :
( ~ product1(e_4,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f151,f69]) ).
fof(f183,plain,
( equalish(e_4,e_2)
| ~ spl0_11 ),
inference(resolution,[status(thm)],[f143,f87]) ).
fof(f184,plain,
( $false
| ~ spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f183,f63]) ).
fof(f185,plain,
~ spl0_11,
inference(contradiction_clause,[status(thm)],[f184]) ).
fof(f190,plain,
( equalish(e_2,e_4)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f137,f89]) ).
fof(f191,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f190,f58]) ).
fof(f192,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f191]) ).
fof(f198,plain,
( equalish(e_4,e_3)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f129,f87]) ).
fof(f199,plain,
( $false
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f198,f64]) ).
fof(f200,plain,
~ spl0_7,
inference(contradiction_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( equalish(e_3,e_4)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f126,f89]) ).
fof(f202,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f201,f61]) ).
fof(f203,plain,
~ spl0_6,
inference(contradiction_clause,[status(thm)],[f202]) ).
fof(f212,plain,
( spl0_16
<=> product1(e_3,e_4,e_1) ),
introduced(split_symbol_definition) ).
fof(f213,plain,
( product1(e_3,e_4,e_1)
| ~ spl0_16 ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,plain,
( spl0_17
<=> product1(e_3,e_4,e_2) ),
introduced(split_symbol_definition) ).
fof(f216,plain,
( product1(e_3,e_4,e_2)
| ~ spl0_17 ),
inference(component_clause,[status(thm)],[f215]) ).
fof(f218,plain,
( spl0_18
<=> product1(e_3,e_4,e_3) ),
introduced(split_symbol_definition) ).
fof(f219,plain,
( product1(e_3,e_4,e_3)
| ~ spl0_18 ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,plain,
( spl0_19
<=> product1(e_3,e_4,e_4) ),
introduced(split_symbol_definition) ).
fof(f222,plain,
( product1(e_3,e_4,e_4)
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,plain,
( product1(e_3,e_4,e_1)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_4) ),
inference(resolution,[status(thm)],[f98,f52]) ).
fof(f225,plain,
( spl0_16
| spl0_17
| spl0_18
| spl0_19 ),
inference(split_clause,[status(thm)],[f224,f212,f215,f218,f221]) ).
fof(f235,plain,
( spl0_23
<=> product1(e_3,e_3,e_4) ),
introduced(split_symbol_definition) ).
fof(f236,plain,
( product1(e_3,e_3,e_4)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f235]) ).
fof(f243,plain,
( spl0_25
<=> product1(e_3,e_2,e_2) ),
introduced(split_symbol_definition) ).
fof(f244,plain,
( product1(e_3,e_2,e_2)
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,plain,
( spl0_26
<=> product1(e_3,e_2,e_3) ),
introduced(split_symbol_definition) ).
fof(f247,plain,
( product1(e_3,e_2,e_3)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f254,plain,
( spl0_28
<=> product1(e_3,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f255,plain,
( product1(e_3,e_1,e_1)
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f254]) ).
fof(f257,plain,
( spl0_29
<=> product1(e_3,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f258,plain,
( product1(e_3,e_1,e_2)
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f257]) ).
fof(f260,plain,
( spl0_30
<=> product1(e_3,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f261,plain,
( product1(e_3,e_1,e_3)
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f260]) ).
fof(f263,plain,
( spl0_31
<=> product1(e_3,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f264,plain,
( product1(e_3,e_1,e_4)
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f266,plain,
( product1(e_3,e_1,e_1)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_4) ),
inference(resolution,[status(thm)],[f98,f49]) ).
fof(f267,plain,
( spl0_28
| spl0_29
| spl0_30
| spl0_31 ),
inference(split_clause,[status(thm)],[f266,f254,f257,f260,f263]) ).
fof(f310,plain,
( spl0_44
<=> product1(e_2,e_1,e_1) ),
introduced(split_symbol_definition) ).
fof(f311,plain,
( product1(e_2,e_1,e_1)
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f310]) ).
fof(f313,plain,
( spl0_45
<=> product1(e_2,e_1,e_2) ),
introduced(split_symbol_definition) ).
fof(f314,plain,
( product1(e_2,e_1,e_2)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f313]) ).
fof(f316,plain,
( spl0_46
<=> product1(e_2,e_1,e_3) ),
introduced(split_symbol_definition) ).
fof(f317,plain,
( product1(e_2,e_1,e_3)
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f316]) ).
fof(f319,plain,
( spl0_47
<=> product1(e_2,e_1,e_4) ),
introduced(split_symbol_definition) ).
fof(f320,plain,
( product1(e_2,e_1,e_4)
| ~ spl0_47 ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,plain,
( product1(e_2,e_1,e_1)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f99,f49]) ).
fof(f323,plain,
( spl0_44
| spl0_45
| spl0_46
| spl0_47 ),
inference(split_clause,[status(thm)],[f322,f310,f313,f316,f319]) ).
fof(f604,plain,
( equalish(e_1,e_3)
| ~ spl0_13
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f179,f123]) ).
fof(f605,plain,
( $false
| ~ spl0_13
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f604,f54]) ).
fof(f606,plain,
( ~ spl0_13
| ~ spl0_5 ),
inference(contradiction_clause,[status(thm)],[f605]) ).
fof(f627,plain,
! [X0] :
( ~ product1(X0,e_1,e_4)
| equalish(e_3,X0)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f264,f71]) ).
fof(f630,plain,
! [X0] :
( ~ product1(e_4,e_3,X0)
| product2(X0,e_1,e_3)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f264,f82]) ).
fof(f631,plain,
( product2(e_1,e_1,e_3)
| ~ spl0_31
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f630,f120]) ).
fof(f634,plain,
( equalish(e_1,e_3)
| ~ spl0_31
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f631,f91]) ).
fof(f635,plain,
( $false
| ~ spl0_31
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f634,f54]) ).
fof(f636,plain,
( ~ spl0_31
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f635]) ).
fof(f638,plain,
( equalish(e_3,e_1)
| ~ spl0_30 ),
inference(resolution,[status(thm)],[f261,f87]) ).
fof(f639,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f59]) ).
fof(f640,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f639]) ).
fof(f641,plain,
( equalish(e_4,e_3)
| ~ spl0_29
| ~ spl0_13 ),
inference(resolution,[status(thm)],[f258,f178]) ).
fof(f642,plain,
( $false
| ~ spl0_29
| ~ spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f641,f64]) ).
fof(f643,plain,
( ~ spl0_29
| ~ spl0_13 ),
inference(contradiction_clause,[status(thm)],[f642]) ).
fof(f644,plain,
( equalish(e_1,e_3)
| ~ spl0_28 ),
inference(resolution,[status(thm)],[f255,f89]) ).
fof(f645,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f644,f54]) ).
fof(f646,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f645]) ).
fof(f648,plain,
! [X0] :
( ~ product1(e_3,X0,e_2)
| equalish(e_1,X0)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f258,f69]) ).
fof(f675,plain,
( equalish(e_3,e_4)
| ~ spl0_23 ),
inference(resolution,[status(thm)],[f236,f85]) ).
fof(f676,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f61]) ).
fof(f677,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f676]) ).
fof(f686,plain,
( equalish(e_4,e_3)
| ~ spl0_19 ),
inference(resolution,[status(thm)],[f222,f89]) ).
fof(f687,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f686,f64]) ).
fof(f688,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f687]) ).
fof(f692,plain,
( equalish(e_3,e_4)
| ~ spl0_18 ),
inference(resolution,[status(thm)],[f219,f87]) ).
fof(f693,plain,
( $false
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f692,f61]) ).
fof(f694,plain,
~ spl0_18,
inference(contradiction_clause,[status(thm)],[f693]) ).
fof(f697,plain,
( equalish(e_1,e_4)
| ~ spl0_17
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f216,f648]) ).
fof(f698,plain,
( $false
| ~ spl0_17
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f697,f55]) ).
fof(f699,plain,
( ~ spl0_17
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f698]) ).
fof(f700,plain,
( product2(e_1,e_1,e_4)
| ~ spl0_16
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f213,f168]) ).
fof(f712,plain,
( equalish(e_1,e_4)
| ~ spl0_16
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f700,f91]) ).
fof(f713,plain,
( $false
| ~ spl0_16
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f712,f55]) ).
fof(f714,plain,
( ~ spl0_16
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f713]) ).
fof(f735,plain,
( equalish(e_2,e_3)
| ~ spl0_25 ),
inference(resolution,[status(thm)],[f244,f89]) ).
fof(f736,plain,
( $false
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f735,f57]) ).
fof(f737,plain,
~ spl0_25,
inference(contradiction_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( equalish(e_3,e_2)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f247,f87]) ).
fof(f740,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f739,f60]) ).
fof(f741,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f740]) ).
fof(f742,plain,
( equalish(e_3,e_2)
| ~ spl0_31
| ~ spl0_47 ),
inference(resolution,[status(thm)],[f627,f320]) ).
fof(f743,plain,
( $false
| ~ spl0_31
| ~ spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f742,f60]) ).
fof(f744,plain,
( ~ spl0_31
| ~ spl0_47 ),
inference(contradiction_clause,[status(thm)],[f743]) ).
fof(f745,plain,
( equalish(e_4,e_2)
| ~ spl0_46
| ~ spl0_14 ),
inference(resolution,[status(thm)],[f317,f165]) ).
fof(f746,plain,
( $false
| ~ spl0_46
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f745,f63]) ).
fof(f747,plain,
( ~ spl0_46
| ~ spl0_14 ),
inference(contradiction_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( equalish(e_2,e_1)
| ~ spl0_45 ),
inference(resolution,[status(thm)],[f314,f87]) ).
fof(f750,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f749,f56]) ).
fof(f751,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f750]) ).
fof(f752,plain,
( equalish(e_1,e_2)
| ~ spl0_44 ),
inference(resolution,[status(thm)],[f311,f89]) ).
fof(f753,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f752,f53]) ).
fof(f754,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f753]) ).
fof(f755,plain,
$false,
inference(sat_refutation,[status(thm)],[f132,f160,f164,f177,f185,f192,f200,f203,f225,f267,f323,f606,f636,f640,f643,f646,f677,f688,f694,f699,f714,f737,f741,f744,f747,f751,f754]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP124-7.004 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Apr 30 00:46:04 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.6.0
% 0.19/0.41 % Refutation found
% 0.19/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.42 % Elapsed time: 0.082542 seconds
% 0.19/0.42 % CPU time: 0.571147 seconds
% 0.19/0.42 % Total memory used: 18.364 MB
% 0.19/0.42 % Net memory used: 17.257 MB
%------------------------------------------------------------------------------