%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP124-7.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:32:42 PM UTC 2026
% Result : Unsatisfiable 0.12s 5.63s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 87
% Syntax : Number of formulae : 377 ( 82 unt; 67 def)
% Number of atoms : 951 ( 0 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 1062 ( 488 ~; 507 |; 0 &)
% ( 67 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 72 ( 71 usr; 68 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 201 ( 201 !; 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(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(f23,axiom,
~ equalish(e_3,e_4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [X,Y] :
( product1(X,Y,e_4)
| product1(X,Y,e_3)
| product1(X,Y,e_2)
| product1(X,Y,e_1)
| ~ group_element(Y)
| ~ group_element(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X,Y,W,Z] :
( equalish(W,Z)
| ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ),
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] :
( equalish(W,Z)
| ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X] : product2(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,negated_conjecture,
! [X,Y,Z1,Z2] :
( product2(Z2,Y,X)
| ~ product1(Z1,X,Z2)
| ~ product1(X,Y,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f50,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f51,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f52,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f53,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f54,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f55,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f57,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f58,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f61,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f65,plain,
! [X0,X1] :
( product1(X0,X1,e_4)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f66,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Y,Z)
| ~ product1(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product1(X0,X1,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product1(X,Z,Y)
| ~ product1(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product1(Z,Y,X)
| ~ product1(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [X0] : product1(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f74,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Y,Z)
| ~ product2(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f76,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product2(X,Z,Y)
| ~ product2(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f77,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f78,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product2(Z,Y,X)
| ~ product2(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f35]) ).
fof(f79,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f80,plain,
! [X0] : product2(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f81,plain,
! [X,Y,Z2] :
( product2(Z2,Y,X)
| ! [Z1] :
( ~ product1(Z1,X,Z2)
| ~ product1(X,Y,Z1) ) ),
inference(miniscoping,[status(thm)],[f37]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( product2(X3,X1,X0)
| ~ product1(X2,X0,X3)
| ~ product1(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,plain,
! [X0,X1] :
( product2(X0,X1,X0)
| ~ product1(X0,X1,X0) ),
inference(resolution,[status(thm)],[f72,f82]) ).
fof(f85,plain,
! [X0,X1] :
( ~ product2(X0,e_2,X1)
| ~ product2(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f53,f77]) ).
fof(f86,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_2)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f53,f75]) ).
fof(f87,plain,
! [X0,X1] :
( ~ product1(e_2,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f53,f71]) ).
fof(f88,plain,
! [X0,X1] :
( ~ product1(X0,e_2,X1)
| ~ product1(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f53,f69]) ).
fof(f89,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_2)
| ~ product1(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f53,f67]) ).
fof(f96,plain,
~ product2(e_2,e_1,e_2),
inference(resolution,[status(thm)],[f85,f80]) ).
fof(f97,plain,
! [X0] :
( ~ product1(X0,e_2,X0)
| ~ product2(X0,e_1,X0) ),
inference(resolution,[status(thm)],[f85,f83]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ~ product1(X2,X1,X0)
| ~ product1(X1,e_2,X2)
| ~ product2(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f85,f82]) ).
fof(f99,plain,
~ product1(e_2,e_1,e_2),
inference(resolution,[status(thm)],[f96,f83]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ~ product1(X2,e_2,X0)
| ~ product1(e_2,X1,X2)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f86,f82]) ).
fof(f105,plain,
~ product1(e_1,e_2,e_2),
inference(resolution,[status(thm)],[f87,f72]) ).
fof(f108,plain,
! [X0,X1] :
( ~ product2(X0,e_3,X1)
| ~ product2(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f54,f77]) ).
fof(f110,plain,
! [X0,X1] :
( ~ product1(e_3,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f54,f71]) ).
fof(f111,plain,
! [X0,X1] :
( ~ product1(X0,e_3,X1)
| ~ product1(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f54,f69]) ).
fof(f112,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_3)
| ~ product1(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f54,f67]) ).
fof(f113,plain,
! [X0,X1] :
( ~ product2(e_4,X0,X1)
| ~ product2(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f55,f79]) ).
fof(f114,plain,
! [X0,X1] :
( ~ product2(X0,e_4,X1)
| ~ product2(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f55,f77]) ).
fof(f115,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_4)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f55,f75]) ).
fof(f116,plain,
! [X0,X1] :
( ~ product1(e_4,X0,X1)
| ~ product1(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f55,f71]) ).
fof(f117,plain,
! [X0,X1] :
( ~ product1(X0,e_4,X1)
| ~ product1(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f55,f69]) ).
fof(f118,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_4)
| ~ product1(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f55,f67]) ).
fof(f128,plain,
! [X0,X1] :
( ~ product1(e_3,X0,X1)
| ~ product1(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f57,f71]) ).
fof(f129,plain,
! [X0,X1] :
( ~ product1(X0,e_3,X1)
| ~ product1(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f57,f69]) ).
fof(f130,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_3)
| ~ product1(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f57,f67]) ).
fof(f132,plain,
! [X0,X1] :
( ~ product2(X0,e_4,X1)
| ~ product2(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f58,f77]) ).
fof(f133,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_4)
| ~ product2(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f58,f75]) ).
fof(f134,plain,
! [X0,X1] :
( ~ product1(e_4,X0,X1)
| ~ product1(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f58,f71]) ).
fof(f135,plain,
! [X0,X1] :
( ~ product1(X0,e_4,X1)
| ~ product1(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f58,f69]) ).
fof(f136,plain,
! [X0,X1] :
( ~ product1(X0,X1,e_4)
| ~ product1(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f58,f67]) ).
fof(f150,plain,
! [X0,X1] :
( ~ product2(X0,e_4,X1)
| ~ product2(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f61,f77]) ).
fof(f151,plain,
! [X0,X1] :
( ~ product2(X0,X1,e_4)
| ~ product2(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f61,f75]) ).
fof(f152,plain,
! [X0,X1] :
( ~ product1(e_4,X0,X1)
| ~ product1(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f61,f71]) ).
fof(f153,plain,
! [X0,X1] :
( ~ product1(X0,e_4,X1)
| ~ product1(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f61,f69]) ).
fof(f173,plain,
! [X0] :
( ~ product1(e_1,X0,e_4)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[f65,f87]) ).
fof(f174,plain,
! [X0] :
( ~ product1(X0,e_1,e_4)
| product1(X0,e_2,e_3)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f65,f88]) ).
fof(f175,plain,
! [X0,X1,X2] :
( product2(e_4,X2,X1)
| ~ product1(X1,X2,X0)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f65,f82]) ).
fof(f176,definition,
( sQ0_spl
<=> group_element(e_2) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( sQ0_spl
| ~ group_element(e_2) ),
inference(component_clause,[status(thm)],[f176]) ).
fof(f179,definition,
! [X0] :
( sQ1_spl
<=> ( ~ product1(e_1,X0,e_4)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_1)
| ~ group_element(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f182,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f173,f176,f179]) ).
fof(f183,definition,
! [X0] :
( sQ2_spl
<=> ( ~ product1(X0,e_1,e_4)
| product1(X0,e_2,e_3)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_1)
| ~ group_element(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ0_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f174,f183,f176]) ).
fof(f187,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f178,f50]) ).
fof(f188,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f187]) ).
fof(f191,definition,
( sQ3_spl
<=> product2(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f192,plain,
( ~ sQ3_spl
| product2(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f194,definition,
( sQ4_spl
<=> group_element(e_4) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f196,plain,
( sQ4_spl
| ~ group_element(e_4) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f197,definition,
( sQ5_spl
<=> product1(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f198,plain,
( ~ sQ5_spl
| product1(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f197]) ).
fof(f200,definition,
( sQ6_spl
<=> product1(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f201,plain,
( ~ sQ6_spl
| product1(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,definition,
( sQ7_spl
<=> product1(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( ~ sQ7_spl
| product1(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f203]) ).
fof(f207,plain,
( ~ sQ7_spl
| ~ product1(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f204,f88]) ).
fof(f210,plain,
! [X0,X1] :
( product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product2(e_4,X1,X0)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[f175,f65]) ).
fof(f212,definition,
( sQ8_spl
<=> group_element(e_3) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f214,plain,
( sQ8_spl
| ~ group_element(e_3) ),
inference(component_clause,[status(thm)],[f212]) ).
fof(f215,definition,
( sQ9_spl
<=> product1(e_3,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f218,definition,
( sQ10_spl
<=> product1(e_3,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f219,plain,
( ~ sQ10_spl
| product1(e_3,e_4,e_2) ),
inference(component_clause,[status(thm)],[f218]) ).
fof(f221,definition,
( sQ11_spl
<=> product1(e_3,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f222,plain,
( ~ sQ11_spl
| product1(e_3,e_4,e_3) ),
inference(component_clause,[status(thm)],[f221]) ).
fof(f224,definition,
( sQ12_spl
<=> product2(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f225,plain,
( ~ sQ12_spl
| product2(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f224]) ).
fof(f228,definition,
! [X0,X1] :
( sQ13_spl
<=> ( product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0)
| product2(e_4,X1,X0)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f231,plain,
( sQ13_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f210,f194,f228]) ).
fof(f233,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f196,f52]) ).
fof(f234,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f233]) ).
fof(f236,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f214,f51]) ).
fof(f237,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f236]) ).
fof(f241,definition,
( sQ14_spl
<=> product1(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f242,plain,
( ~ sQ14_spl
| product1(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f244,definition,
( sQ15_spl
<=> product1(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f245,plain,
( ~ sQ15_spl
| product1(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f244]) ).
fof(f250,definition,
( sQ17_spl
<=> product2(e_4,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f251,plain,
( ~ sQ17_spl
| product2(e_4,e_4,e_3) ),
inference(component_clause,[status(thm)],[f250]) ).
fof(f263,definition,
( sQ20_spl
<=> product1(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f264,plain,
( ~ sQ20_spl
| product1(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f263]) ).
fof(f269,definition,
( sQ21_spl
<=> group_element(e_1) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f271,plain,
( sQ21_spl
| ~ group_element(e_1) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f278,definition,
( sQ24_spl
<=> product1(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ24_spl
| product1(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f282,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f271,f49]) ).
fof(f283,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f282]) ).
fof(f288,definition,
( sQ25_spl
<=> product1(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ25_spl
| product1(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ26_spl
<=> product1(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ26_spl
| product1(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,definition,
( sQ27_spl
<=> product1(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f295,plain,
( ~ sQ27_spl
| product1(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f298,plain,
~ product1(e_2,e_2,e_1),
inference(resolution,[status(thm)],[f89,f72]) ).
fof(f318,definition,
( sQ29_spl
<=> product1(e_3,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f319,plain,
( ~ sQ29_spl
| product1(e_3,e_2,e_1) ),
inference(component_clause,[status(thm)],[f318]) ).
fof(f321,definition,
( sQ30_spl
<=> product1(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f322,plain,
( ~ sQ30_spl
| product1(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ31_spl
<=> product1(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f325,plain,
( ~ sQ31_spl
| product1(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f336,definition,
( sQ33_spl
<=> product1(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f337,plain,
( ~ sQ33_spl
| product1(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f349,definition,
( sQ36_spl
<=> product1(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f350,plain,
( ~ sQ36_spl
| product1(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ37_spl
<=> product1(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ37_spl
| product1(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
( sQ38_spl
<=> product1(e_1,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( ~ sQ38_spl
| product1(e_1,e_2,e_3) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f359,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f353,f105]) ).
fof(f360,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f359]) ).
fof(f363,definition,
( sQ39_spl
<=> product1(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ39_spl
| product1(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,definition,
( sQ40_spl
<=> product1(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f367,plain,
( ~ sQ40_spl
| product1(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ41_spl
<=> product1(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f370,plain,
( ~ sQ41_spl
| product1(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f369]) ).
fof(f380,definition,
( sQ43_spl
<=> product1(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ43_spl
| product1(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ44_spl
<=> product1(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ44_spl
| product1(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,definition,
( sQ45_spl
<=> product1(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( ~ sQ45_spl
| product1(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f390,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f384,f99]) ).
fof(f391,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f390]) ).
fof(f398,plain,
! [X0,X1,X2] :
( ~ product1(X2,X1,X0)
| ~ product1(X1,e_3,X2)
| ~ product2(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f108,f82]) ).
fof(f404,definition,
( sQ46_spl
<=> product1(e_1,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f407,definition,
( sQ47_spl
<=> product1(e_1,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( ~ sQ47_spl
| product1(e_1,e_1,e_2) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,definition,
( sQ48_spl
<=> product1(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( ~ sQ48_spl
| product1(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f415,plain,
( ~ sQ27_spl
| product2(e_4,e_4,e_2)
| product1(e_3,e_2,e_3)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[f295,f175]) ).
fof(f417,definition,
( sQ49_spl
<=> product2(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( ~ sQ49_spl
| product2(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( ~ sQ27_spl
| sQ49_spl
| sQ31_spl
| sQ30_spl
| sQ29_spl
| ~ sQ0_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f415,f212,f176,f318,f321,f324,f417,f294]) ).
fof(f427,plain,
! [X0,X1] :
( product1(X1,e_2,e_3)
| product1(X1,e_2,e_2)
| product1(X1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(X1)
| ~ product1(e_4,X1,X0)
| ~ product2(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f98,f65]) ).
fof(f429,definition,
! [X0,X1] :
( sQ50_spl
<=> ( product1(X1,e_2,e_3)
| product1(X1,e_2,e_2)
| product1(X1,e_2,e_1)
| ~ group_element(X1)
| ~ product1(e_4,X1,X0)
| ~ product2(X0,e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( ~ sQ0_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f427,f429,f176]) ).
fof(f434,plain,
( ~ sQ25_spl
| product2(e_4,e_4,e_2)
| product1(e_1,e_2,e_3)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[f289,f175]) ).
fof(f436,plain,
( ~ sQ25_spl
| sQ49_spl
| sQ38_spl
| sQ37_spl
| sQ36_spl
| ~ sQ0_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f434,f269,f176,f349,f352,f355,f417,f288]) ).
fof(f441,definition,
( sQ51_spl
<=> product1(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( ~ sQ51_spl
| product1(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ52_spl
<=> product1(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( ~ sQ52_spl
| product1(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ53_spl
<=> product1(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ53_spl
| product1(e_1,e_4,e_3) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f453,definition,
( sQ54_spl
<=> product1(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ54_spl
| product1(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,definition,
( sQ55_spl
<=> product1(e_4,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ55_spl
| product1(e_4,e_1,e_2) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,definition,
( sQ56_spl
<=> product1(e_4,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ56_spl
| product1(e_4,e_1,e_3) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f464,plain,
! [X0] :
( product1(e_3,X0,e_3)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_3)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f110,f65]) ).
fof(f465,plain,
~ product1(e_1,e_3,e_3),
inference(resolution,[status(thm)],[f110,f72]) ).
fof(f466,definition,
! [X0] :
( sQ57_spl
<=> ( product1(e_3,X0,e_3)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_1)
| ~ group_element(X0)
| ~ product1(e_1,X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ8_spl
| sQ57_spl ),
inference(split_clause,[status(thm)],[f464,f466,f212]) ).
fof(f470,plain,
! [X0] :
( product1(X0,e_3,e_3)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X0)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f111,f65]) ).
fof(f471,plain,
~ product1(e_3,e_1,e_3),
inference(resolution,[status(thm)],[f111,f72]) ).
fof(f472,definition,
! [X0] :
( sQ58_spl
<=> ( product1(X0,e_3,e_3)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_1)
| ~ group_element(X0)
| ~ product1(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( ~ sQ8_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f470,f472,f212]) ).
fof(f511,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f337,f298]) ).
fof(f512,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f511]) ).
fof(f522,plain,
( ~ sQ36_spl
| ~ product2(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f350,f97]) ).
fof(f526,plain,
( ~ sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f522,f80]) ).
fof(f527,plain,
~ sQ36_spl,
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f532,plain,
~ product1(e_3,e_3,e_1),
inference(resolution,[status(thm)],[f112,f72]) ).
fof(f533,plain,
~ product2(e_4,e_1,e_1),
inference(resolution,[status(thm)],[f113,f80]) ).
fof(f553,plain,
( ~ sQ39_spl
| ~ product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f364,f110]) ).
fof(f556,plain,
( ~ sQ39_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f553,f72]) ).
fof(f557,plain,
~ sQ39_spl,
inference(contradiction_clause,[status(thm)],[f556]) ).
fof(f567,plain,
( ~ sQ43_spl
| ~ product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f381,f87]) ).
fof(f570,plain,
( ~ sQ43_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f567,f72]) ).
fof(f571,plain,
~ sQ43_spl,
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f575,plain,
( ~ sQ48_spl
| ~ product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f411,f112]) ).
fof(f578,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f575,f72]) ).
fof(f579,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f578]) ).
fof(f580,plain,
( ~ sQ47_spl
| ~ product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f408,f89]) ).
fof(f584,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f580,f72]) ).
fof(f585,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f584]) ).
fof(f589,plain,
! [X0] :
( product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_4)
| ~ product1(e_1,X0,e_4) ),
inference(resolution,[status(thm)],[f116,f65]) ).
fof(f590,plain,
~ product1(e_1,e_4,e_4),
inference(resolution,[status(thm)],[f116,f72]) ).
fof(f591,definition,
! [X0] :
( sQ64_spl
<=> ( product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0)
| ~ product1(e_1,X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f594,plain,
( ~ sQ4_spl
| sQ64_spl ),
inference(split_clause,[status(thm)],[f589,f591,f194]) ).
fof(f597,plain,
( ~ sQ53_spl
| product2(e_4,e_4,e_1)
| product1(e_3,e_1,e_3)
| product1(e_3,e_1,e_2)
| product1(e_3,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[f448,f175]) ).
fof(f599,definition,
( sQ65_spl
<=> product2(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f600,plain,
( ~ sQ65_spl
| product2(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( ~ sQ53_spl
| sQ65_spl
| sQ41_spl
| sQ40_spl
| sQ39_spl
| ~ sQ21_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f597,f212,f269,f363,f366,f369,f599,f447]) ).
fof(f605,plain,
( ~ sQ52_spl
| product2(e_4,e_4,e_1)
| product1(e_2,e_1,e_3)
| product1(e_2,e_1,e_2)
| product1(e_2,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[f445,f175]) ).
fof(f607,plain,
( ~ sQ52_spl
| sQ65_spl
| sQ45_spl
| sQ44_spl
| sQ43_spl
| ~ sQ21_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f605,f176,f269,f380,f383,f386,f599,f444]) ).
fof(f621,plain,
( ~ sQ55_spl
| product2(e_4,e_1,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[f457,f175]) ).
fof(f623,plain,
( ~ sQ55_spl
| sQ3_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl
| ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f621,f176,f194,f288,f291,f294,f191,f456]) ).
fof(f624,plain,
( ~ sQ54_spl
| ~ product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f454,f116]) ).
fof(f627,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f624,f72]) ).
fof(f628,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f627]) ).
fof(f629,plain,
! [X0] :
( product1(X0,e_4,e_3)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(X0)
| ~ product1(X0,e_1,e_4) ),
inference(resolution,[status(thm)],[f117,f65]) ).
fof(f630,plain,
~ product1(e_4,e_1,e_4),
inference(resolution,[status(thm)],[f117,f72]) ).
fof(f631,definition,
! [X0] :
( sQ66_spl
<=> ( product1(X0,e_4,e_3)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_1)
| ~ group_element(X0)
| ~ product1(X0,e_1,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f634,plain,
( ~ sQ4_spl
| sQ66_spl ),
inference(split_clause,[status(thm)],[f629,f631,f194]) ).
fof(f635,plain,
~ product1(e_1,e_1,e_4),
inference(resolution,[status(thm)],[f118,f72]) ).
fof(f639,plain,
! [X0,X1] :
( product1(e_2,X1,e_3)
| product1(e_2,X1,e_2)
| product1(e_2,X1,e_1)
| ~ group_element(X1)
| ~ group_element(e_2)
| ~ product1(e_4,e_2,X0)
| ~ product2(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f103,f65]) ).
fof(f641,definition,
! [X0,X1] :
( sQ67_spl
<=> ( product1(e_2,X1,e_3)
| product1(e_2,X1,e_2)
| product1(e_2,X1,e_1)
| ~ group_element(X1)
| ~ product1(e_4,e_2,X0)
| ~ product2(X0,X1,e_1) ) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f644,plain,
( ~ sQ0_spl
| sQ67_spl ),
inference(split_clause,[status(thm)],[f639,f641,f176]) ).
fof(f669,plain,
( ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f279,f465]) ).
fof(f670,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f669]) ).
fof(f698,plain,
( ~ sQ20_spl
| ~ product1(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f128,f264]) ).
fof(f699,plain,
! [X0] :
( product1(e_2,X0,e_3)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_2)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f128,f65]) ).
fof(f700,plain,
~ product1(e_3,e_2,e_2),
inference(resolution,[status(thm)],[f128,f72]) ).
fof(f701,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f72]) ).
fof(f702,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f703,definition,
! [X0] :
( sQ68_spl
<=> ( product1(e_2,X0,e_3)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_1)
| ~ group_element(X0)
| ~ product1(e_3,X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f706,plain,
( ~ sQ0_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f699,f703,f176]) ).
fof(f707,plain,
! [X0] :
( product1(X0,e_3,e_3)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X0)
| ~ product1(X0,e_2,e_4) ),
inference(resolution,[status(thm)],[f129,f65]) ).
fof(f708,plain,
~ product1(e_3,e_2,e_3),
inference(resolution,[status(thm)],[f129,f72]) ).
fof(f709,definition,
! [X0] :
( sQ69_spl
<=> ( product1(X0,e_3,e_3)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_1)
| ~ group_element(X0)
| ~ product1(X0,e_2,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f712,plain,
( ~ sQ8_spl
| sQ69_spl ),
inference(split_clause,[status(thm)],[f707,f709,f212]) ).
fof(f713,plain,
( ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f708,f325]) ).
fof(f714,plain,
~ sQ31_spl,
inference(contradiction_clause,[status(thm)],[f713]) ).
fof(f722,definition,
( sQ70_spl
<=> product1(e_4,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f723,plain,
( ~ sQ70_spl
| product1(e_4,e_4,e_1) ),
inference(component_clause,[status(thm)],[f722]) ).
fof(f725,definition,
( sQ71_spl
<=> product1(e_4,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f726,plain,
( ~ sQ71_spl
| product1(e_4,e_4,e_2) ),
inference(component_clause,[status(thm)],[f725]) ).
fof(f737,definition,
( sQ74_spl
<=> product2(e_4,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f738,plain,
( ~ sQ74_spl
| product2(e_4,e_1,e_1) ),
inference(component_clause,[status(thm)],[f737]) ).
fof(f756,plain,
( ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f242,f532]) ).
fof(f757,plain,
~ sQ14_spl,
inference(contradiction_clause,[status(thm)],[f756]) ).
fof(f767,plain,
~ product1(e_3,e_3,e_2),
inference(resolution,[status(thm)],[f130,f72]) ).
fof(f776,plain,
( product1(e_1,e_4,e_3)
| product1(e_1,e_4,e_2)
| product1(e_1,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[f590,f65]) ).
fof(f777,plain,
( sQ53_spl
| sQ52_spl
| sQ51_spl
| ~ sQ4_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f776,f269,f194,f441,f444,f447]) ).
fof(f778,plain,
~ product2(e_4,e_2,e_4),
inference(resolution,[status(thm)],[f132,f80]) ).
fof(f781,plain,
~ product2(e_4,e_4,e_2),
inference(resolution,[status(thm)],[f133,f80]) ).
fof(f784,plain,
! [X0] :
( product1(e_2,X0,e_3)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_2)
| ~ product1(e_4,X0,e_4) ),
inference(resolution,[status(thm)],[f134,f65]) ).
fof(f785,plain,
~ product1(e_4,e_2,e_2),
inference(resolution,[status(thm)],[f134,f72]) ).
fof(f786,definition,
! [X0] :
( sQ75_spl
<=> ( product1(e_2,X0,e_3)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_1)
| ~ group_element(X0)
| ~ product1(e_4,X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f789,plain,
( ~ sQ0_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f784,f786,f176]) ).
fof(f791,plain,
( ~ sQ65_spl
| ~ product2(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f600,f115]) ).
fof(f793,plain,
( ~ sQ65_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f791,f80]) ).
fof(f794,plain,
~ sQ65_spl,
inference(contradiction_clause,[status(thm)],[f793]) ).
fof(f795,plain,
( ~ sQ41_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f370,f471]) ).
fof(f796,plain,
~ sQ41_spl,
inference(contradiction_clause,[status(thm)],[f795]) ).
fof(f808,plain,
( ~ sQ10_spl
| ~ product1(e_1,e_4,e_2) ),
inference(resolution,[status(thm)],[f219,f110]) ).
fof(f809,plain,
( ~ sQ10_spl
| ~ product1(e_3,e_1,e_2) ),
inference(resolution,[status(thm)],[f219,f117]) ).
fof(f814,plain,
( ~ sQ10_spl
| ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f809,f367]) ).
fof(f815,plain,
( ~ sQ10_spl
| ~ sQ40_spl ),
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f822,plain,
( ~ sQ45_spl
| ~ product1(e_4,e_1,e_3) ),
inference(resolution,[status(thm)],[f387,f134]) ).
fof(f830,plain,
( ~ sQ45_spl
| ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f822,f460]) ).
fof(f831,plain,
( ~ sQ45_spl
| ~ sQ56_spl ),
inference(contradiction_clause,[status(thm)],[f830]) ).
fof(f842,plain,
! [X0] :
( product1(X0,e_2,e_3)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(X0)
| ~ product1(X0,e_4,e_4) ),
inference(resolution,[status(thm)],[f135,f65]) ).
fof(f843,plain,
~ product1(e_2,e_4,e_2),
inference(resolution,[status(thm)],[f135,f72]) ).
fof(f844,definition,
! [X0] :
( sQ76_spl
<=> ( product1(X0,e_2,e_3)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_1)
| ~ group_element(X0)
| ~ product1(X0,e_4,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f847,plain,
( ~ sQ0_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f842,f844,f176]) ).
fof(f849,plain,
( ~ sQ51_spl
| ~ product1(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f442,f117]) ).
fof(f853,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f849,f72]) ).
fof(f854,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f853]) ).
fof(f866,plain,
( ~ sQ25_spl
| ~ product1(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f289,f128]) ).
fof(f873,plain,
( ~ sQ25_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f866,f215,f288]) ).
fof(f899,plain,
( product1(e_4,e_1,e_3)
| product1(e_4,e_1,e_2)
| product1(e_4,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[f630,f65]) ).
fof(f900,plain,
( sQ56_spl
| sQ55_spl
| sQ54_spl
| ~ sQ21_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f899,f194,f269,f453,f456,f459]) ).
fof(f901,plain,
( product1(e_1,e_1,e_3)
| product1(e_1,e_1,e_2)
| product1(e_1,e_1,e_1)
| ~ group_element(e_1)
| ~ group_element(e_1) ),
inference(resolution,[status(thm)],[f635,f65]) ).
fof(f902,plain,
( sQ48_spl
| sQ47_spl
| sQ46_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f901,f269,f404,f407,f410]) ).
fof(f907,plain,
( ~ sQ74_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f738,f533]) ).
fof(f908,plain,
~ sQ74_spl,
inference(contradiction_clause,[status(thm)],[f907]) ).
fof(f919,plain,
~ product1(e_4,e_2,e_4),
inference(resolution,[status(thm)],[f778,f83]) ).
fof(f942,plain,
( ~ sQ29_spl
| ~ product1(e_3,e_4,e_1) ),
inference(resolution,[status(thm)],[f319,f135]) ).
fof(f961,definition,
( sQ77_spl
<=> product1(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f962,plain,
( ~ sQ77_spl
| product1(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f964,definition,
( sQ78_spl
<=> product1(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f965,plain,
( ~ sQ78_spl
| product1(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f964]) ).
fof(f967,definition,
( sQ79_spl
<=> product1(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f968,plain,
( ~ sQ79_spl
| product1(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f967]) ).
fof(f971,plain,
( ~ sQ38_spl
| ~ product1(e_1,e_4,e_3) ),
inference(resolution,[status(thm)],[f356,f135]) ).
fof(f980,plain,
~ product2(e_4,e_3,e_4),
inference(resolution,[status(thm)],[f150,f80]) ).
fof(f983,plain,
~ product2(e_4,e_4,e_3),
inference(resolution,[status(thm)],[f151,f80]) ).
fof(f995,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f225,f778]) ).
fof(f996,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f995]) ).
fof(f997,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f245,f767]) ).
fof(f998,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f997]) ).
fof(f1006,plain,
! [X0] :
( product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0)
| ~ group_element(e_4)
| ~ product1(e_3,X0,e_4) ),
inference(resolution,[status(thm)],[f152,f65]) ).
fof(f1007,plain,
~ product1(e_3,e_4,e_4),
inference(resolution,[status(thm)],[f152,f72]) ).
fof(f1009,definition,
! [X0] :
( sQ80_spl
<=> ( product1(e_4,X0,e_3)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_1)
| ~ group_element(X0)
| ~ product1(e_3,X0,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f1012,plain,
( ~ sQ4_spl
| sQ80_spl ),
inference(split_clause,[status(thm)],[f1006,f1009,f194]) ).
fof(f1013,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f322,f700]) ).
fof(f1014,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f1013]) ).
fof(f1016,plain,
! [X0] :
( product1(X0,e_4,e_3)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(X0)
| ~ product1(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f153,f65]) ).
fof(f1017,plain,
~ product1(e_4,e_3,e_4),
inference(resolution,[status(thm)],[f153,f72]) ).
fof(f1018,definition,
! [X0] :
( sQ81_spl
<=> ( product1(X0,e_4,e_3)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_1)
| ~ group_element(X0)
| ~ product1(X0,e_3,e_4) ) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f1021,plain,
( ~ sQ4_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f1016,f1018,f194]) ).
fof(f1032,plain,
! [X0,X1] :
( product1(X1,e_3,e_3)
| product1(X1,e_3,e_2)
| product1(X1,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(X1)
| ~ product1(e_4,X1,X0)
| ~ product2(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f398,f65]) ).
fof(f1034,definition,
! [X0,X1] :
( sQ82_spl
<=> ( product1(X1,e_3,e_3)
| product1(X1,e_3,e_2)
| product1(X1,e_3,e_1)
| ~ group_element(X1)
| ~ product1(e_4,X1,X0)
| ~ product2(X0,e_1,X1) ) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f1037,plain,
( ~ sQ8_spl
| sQ82_spl ),
inference(split_clause,[status(thm)],[f1032,f1034,f212]) ).
fof(f1038,plain,
( product1(e_4,e_2,e_3)
| product1(e_4,e_2,e_2)
| product1(e_4,e_2,e_1)
| ~ group_element(e_2)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[f919,f65]) ).
fof(f1039,plain,
( sQ7_spl
| sQ6_spl
| sQ5_spl
| ~ sQ0_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1038,f194,f176,f197,f200,f203]) ).
fof(f1042,plain,
( ~ sQ79_spl
| ~ product1(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f968,f152]) ).
fof(f1052,plain,
( ~ sQ79_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1042,f72]) ).
fof(f1053,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f1052]) ).
fof(f1062,plain,
( ~ sQ78_spl
| product2(e_4,e_3,e_4)
| product1(e_2,e_4,e_3)
| product1(e_2,e_4,e_2)
| product1(e_2,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_2) ),
inference(resolution,[status(thm)],[f965,f175]) ).
fof(f1065,definition,
( sQ83_spl
<=> product2(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f1066,plain,
( ~ sQ83_spl
| product2(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f1065]) ).
fof(f1068,plain,
( ~ sQ78_spl
| sQ83_spl
| sQ27_spl
| sQ26_spl
| sQ25_spl
| ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f1062,f176,f194,f288,f291,f294,f1065,f964]) ).
fof(f1069,plain,
( ~ sQ83_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1066,f980]) ).
fof(f1070,plain,
~ sQ83_spl,
inference(contradiction_clause,[status(thm)],[f1069]) ).
fof(f1071,plain,
( ~ sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f201,f785]) ).
fof(f1072,plain,
~ sQ6_spl,
inference(contradiction_clause,[status(thm)],[f1071]) ).
fof(f1076,plain,
( ~ sQ77_spl
| ~ product1(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f962,f129]) ).
fof(f1087,plain,
( ~ sQ71_spl
| ~ product1(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f726,f136]) ).
fof(f1094,plain,
( ~ sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1087,f72]) ).
fof(f1095,plain,
~ sQ71_spl,
inference(contradiction_clause,[status(thm)],[f1094]) ).
fof(f1100,plain,
( ~ sQ70_spl
| ~ product1(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f723,f118]) ).
fof(f1103,plain,
( ~ sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1100,f72]) ).
fof(f1104,plain,
~ sQ70_spl,
inference(contradiction_clause,[status(thm)],[f1103]) ).
fof(f1108,plain,
( ~ sQ11_spl
| ~ product1(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f222,f153]) ).
fof(f1115,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1108,f72]) ).
fof(f1116,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1115]) ).
fof(f1118,plain,
( product1(e_3,e_4,e_3)
| product1(e_3,e_4,e_2)
| product1(e_3,e_4,e_1)
| ~ group_element(e_4)
| ~ group_element(e_3) ),
inference(resolution,[status(thm)],[f1007,f65]) ).
fof(f1119,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| ~ sQ4_spl
| ~ sQ8_spl ),
inference(split_clause,[status(thm)],[f1118,f212,f194,f215,f218,f221]) ).
fof(f1120,plain,
( ~ sQ10_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f808,f444,f218]) ).
fof(f1121,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f251,f983]) ).
fof(f1122,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f1121]) ).
fof(f1123,plain,
( ~ sQ29_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f942,f215,f318]) ).
fof(f1128,plain,
( product1(e_4,e_3,e_3)
| product1(e_4,e_3,e_2)
| product1(e_4,e_3,e_1)
| ~ group_element(e_3)
| ~ group_element(e_4) ),
inference(resolution,[status(thm)],[f1017,f65]) ).
fof(f1129,plain,
( sQ79_spl
| sQ78_spl
| sQ77_spl
| ~ sQ8_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f1128,f194,f212,f961,f964,f967]) ).
fof(f1146,plain,
( ~ sQ3_spl
| ~ product2(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f192,f114]) ).
fof(f1149,plain,
( ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1146,f80]) ).
fof(f1150,plain,
~ sQ3_spl,
inference(contradiction_clause,[status(thm)],[f1149]) ).
fof(f1151,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f418,f781]) ).
fof(f1152,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f1151]) ).
fof(f1153,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f843]) ).
fof(f1154,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f1153]) ).
fof(f1155,plain,
( ~ sQ38_spl
| ~ sQ53_spl ),
inference(split_clause,[status(thm)],[f971,f447,f355]) ).
fof(f1156,plain,
( ~ sQ77_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1076,f198]) ).
fof(f1157,plain,
( ~ sQ77_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f1156]) ).
fof(f1158,plain,
( ~ sQ7_spl
| ~ sQ56_spl ),
inference(split_clause,[status(thm)],[f207,f459,f203]) ).
fof(f1159,plain,
$false,
inference(sat_refutation,[status(thm)],[f182,f186,f188,f231,f234,f237,f283,f360,f391,f420,f432,f436,f469,f475,f512,f527,f557,f571,f579,f585,f594,f602,f607,f623,f628,f634,f644,f670,f702,f706,f712,f714,f757,f777,f789,f794,f796,f815,f831,f847,f854,f873,f900,f902,f908,f996,f998,f1012,f1014,f1021,f1037,f1039,f1053,f1068,f1070,f1072,f1095,f1104,f1116,f1119,f1120,f1122,f1123,f1129,f1150,f1152,f1154,f1155,f1157,f1158]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP124-7.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.55 % Computer : n010.cluster.edu
% 0.08/5.55 % Model : x86_64 x86_64
% 0.08/5.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.55 % Memory : 8046.5625MB
% 0.08/5.55 % OS : Linux 6.8.0-71-generic
% 0.08/5.55 % CPULimit : 300
% 0.08/5.55 % WCLimit : 300
% 0.08/5.55 % DateTime : Sun Sep 20 19:59:47 UTC 2026
% 0.08/5.55 % CPUTime :
% 0.08/5.56 % Drodi V4.1.1
% 0.12/5.63 % Refutation found
% 0.12/5.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/5.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/5.65 % Elapsed time: 0.078666 seconds
% 0.12/5.65 % CPU time: 0.424702 seconds
% 0.12/5.65 % Total memory used: 23.070 MB
% 0.12/5.65 % Net memory used: 22.539 MB
%------------------------------------------------------------------------------