%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP124-2.004 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 12:32:41 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 61
% Syntax : Number of formulae : 278 ( 66 unt; 45 def)
% Number of atoms : 581 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 598 ( 295 ~; 258 |; 0 &)
% ( 45 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 49 ( 48 usr; 46 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 112 ( 112 !; 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] :
( product(X,Y,e_4)
| product(X,Y,e_3)
| product(X,Y,e_2)
| product(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)
| ~ product(X,Y,Z)
| ~ product(X,Y,W) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X,W,Y,Z] :
( equalish(W,Z)
| ~ product(X,Z,Y)
| ~ product(X,W,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [W,Y,X,Z] :
( equalish(W,Z)
| ~ product(Z,Y,X)
| ~ product(W,Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] : product(X,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [X1,Y1,Z1,X2,Y2,Z2] :
( equalish(Y1,Y2)
| ~ product(Z2,X2,Y2)
| ~ product(Z2,X1,Y1)
| ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,plain,
group_element(e_1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f46,plain,
group_element(e_2),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f47,plain,
group_element(e_3),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f48,plain,
group_element(e_4),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f49,plain,
~ equalish(e_1,e_2),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f50,plain,
~ equalish(e_1,e_3),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f51,plain,
~ equalish(e_1,e_4),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f53,plain,
~ equalish(e_2,e_3),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f54,plain,
~ equalish(e_2,e_4),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f57,plain,
~ equalish(e_3,e_4),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f61,plain,
! [X0,X1] :
( product(X0,X1,e_4)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1)
| ~ group_element(X1)
| ~ group_element(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f62,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Y,Z)
| ~ product(X,Y,W) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f63,plain,
! [X0,X1,X2,X3] :
( equalish(X2,X3)
| ~ product(X0,X1,X3)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f64,plain,
! [W,Z] :
( equalish(W,Z)
| ! [X,Y] :
( ~ product(X,Z,Y)
| ~ product(X,W,Y) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( equalish(X1,X3)
| ~ product(X0,X3,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f66,plain,
! [W,Z] :
( equalish(W,Z)
| ! [Y,X] :
( ~ product(Z,Y,X)
| ~ product(W,Y,X) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( equalish(X0,X3)
| ~ product(X3,X1,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
! [X0] : product(X0,X0,X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f71,plain,
! [Y1,Y2] :
( equalish(Y1,Y2)
| ! [X2,Z2] :
( ~ product(Z2,X2,Y2)
| ! [X1] :
( ~ product(Z2,X1,Y1)
| ! [Z1] :
( ~ product(X2,Y2,Z1)
| ~ product(X1,Y1,Z1) ) ) ) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f72,plain,
! [X0,X1,X2,X3,X4,X5] :
( equalish(X1,X4)
| ~ product(X5,X3,X4)
| ~ product(X5,X0,X1)
| ~ product(X3,X4,X2)
| ~ product(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ~ product(e_2,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f49,f67]) ).
fof(f74,plain,
! [X0,X1] :
( ~ product(X0,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f49,f65]) ).
fof(f75,plain,
! [X0,X1] :
( ~ product(X0,X1,e_2)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f49,f63]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ product(X3,X2,e_2)
| ~ product(X3,X0,e_1)
| ~ product(X2,e_2,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f49,f72]) ).
fof(f78,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f50,f67]) ).
fof(f79,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f50,f65]) ).
fof(f80,plain,
! [X0,X1] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f50,f63]) ).
fof(f84,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_1,X0,X1) ),
inference(resolution,[status(thm)],[f51,f67]) ).
fof(f85,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_1,X1) ),
inference(resolution,[status(thm)],[f51,f65]) ).
fof(f86,plain,
! [X0,X1] :
( ~ product(X0,X1,e_4)
| ~ product(X0,X1,e_1) ),
inference(resolution,[status(thm)],[f51,f63]) ).
fof(f94,plain,
! [X0,X1] :
( ~ product(X1,e_2,e_2)
| ~ product(X1,X0,e_1)
| ~ product(X0,e_1,e_2) ),
inference(resolution,[status(thm)],[f76,f68]) ).
fof(f97,plain,
~ product(e_1,e_2,e_2),
inference(resolution,[status(thm)],[f73,f68]) ).
fof(f98,plain,
~ product(e_2,e_1,e_2),
inference(resolution,[status(thm)],[f74,f68]) ).
fof(f99,plain,
~ product(e_2,e_2,e_1),
inference(resolution,[status(thm)],[f75,f68]) ).
fof(f100,plain,
~ product(e_1,e_3,e_3),
inference(resolution,[status(thm)],[f78,f68]) ).
fof(f101,plain,
~ product(e_3,e_1,e_3),
inference(resolution,[status(thm)],[f79,f68]) ).
fof(f102,plain,
! [X0,X1] :
( ~ product(e_3,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f53,f67]) ).
fof(f103,plain,
! [X0,X1] :
( ~ product(X0,e_3,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f53,f65]) ).
fof(f104,plain,
! [X0,X1] :
( ~ product(X0,X1,e_3)
| ~ product(X0,X1,e_2) ),
inference(resolution,[status(thm)],[f53,f63]) ).
fof(f107,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_2,X0,X1) ),
inference(resolution,[status(thm)],[f54,f67]) ).
fof(f108,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_2,X1) ),
inference(resolution,[status(thm)],[f54,f65]) ).
fof(f122,plain,
! [X0,X1] :
( ~ product(e_4,X0,X1)
| ~ product(e_3,X0,X1) ),
inference(resolution,[status(thm)],[f57,f67]) ).
fof(f123,plain,
! [X0,X1] :
( ~ product(X0,e_4,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f57,f65]) ).
fof(f124,plain,
! [X0,X1] :
( ~ product(X0,X1,e_4)
| ~ product(X0,X1,e_3) ),
inference(resolution,[status(thm)],[f57,f63]) ).
fof(f125,plain,
! [X0,X1,X2,X3] :
( ~ product(X3,X2,e_4)
| ~ product(X3,X0,e_3)
| ~ product(X2,e_4,X1)
| ~ product(X0,e_3,X1) ),
inference(resolution,[status(thm)],[f57,f72]) ).
fof(f142,plain,
! [X0] :
( product(X0,e_4,e_4)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f61,f48]) ).
fof(f143,plain,
! [X0] :
( product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f61,f47]) ).
fof(f144,plain,
! [X0] :
( product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f61,f46]) ).
fof(f145,plain,
! [X0] :
( product(X0,e_1,e_4)
| product(X0,e_1,e_3)
| product(X0,e_1,e_2)
| product(X0,e_1,e_1)
| ~ group_element(X0) ),
inference(resolution,[status(thm)],[f61,f45]) ).
fof(f146,plain,
~ product(e_3,e_3,e_1),
inference(resolution,[status(thm)],[f80,f68]) ).
fof(f149,plain,
~ product(e_1,e_4,e_4),
inference(resolution,[status(thm)],[f84,f68]) ).
fof(f150,plain,
~ product(e_4,e_1,e_4),
inference(resolution,[status(thm)],[f85,f68]) ).
fof(f153,plain,
~ product(e_2,e_3,e_3),
inference(resolution,[status(thm)],[f102,f68]) ).
fof(f154,plain,
~ product(e_3,e_2,e_3),
inference(resolution,[status(thm)],[f103,f68]) ).
fof(f155,plain,
~ product(e_3,e_3,e_2),
inference(resolution,[status(thm)],[f104,f68]) ).
fof(f158,plain,
~ product(e_2,e_4,e_4),
inference(resolution,[status(thm)],[f107,f68]) ).
fof(f159,plain,
~ product(e_4,e_2,e_4),
inference(resolution,[status(thm)],[f108,f68]) ).
fof(f163,plain,
~ product(e_3,e_4,e_4),
inference(resolution,[status(thm)],[f122,f68]) ).
fof(f164,plain,
~ product(e_4,e_3,e_4),
inference(resolution,[status(thm)],[f123,f68]) ).
fof(f165,plain,
! [X0,X1] :
( ~ product(X1,e_4,e_4)
| ~ product(X1,X0,e_3)
| ~ product(X0,e_3,e_4) ),
inference(resolution,[status(thm)],[f125,f68]) ).
fof(f170,plain,
( product(e_2,e_4,e_4)
| product(e_2,e_4,e_3)
| product(e_2,e_4,e_2)
| product(e_2,e_4,e_1) ),
inference(resolution,[status(thm)],[f142,f46]) ).
fof(f171,plain,
( product(e_1,e_4,e_4)
| product(e_1,e_4,e_3)
| product(e_1,e_4,e_2)
| product(e_1,e_4,e_1) ),
inference(resolution,[status(thm)],[f142,f45]) ).
fof(f194,definition,
( sQ7_spl
<=> product(e_3,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f195,plain,
( ~ sQ7_spl
| product(e_3,e_4,e_4) ),
inference(component_clause,[status(thm)],[f194]) ).
fof(f198,definition,
( sQ8_spl
<=> product(e_2,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f199,plain,
( ~ sQ8_spl
| product(e_2,e_4,e_1) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ9_spl
<=> product(e_2,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ9_spl
| product(e_2,e_4,e_2) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,definition,
( sQ10_spl
<=> product(e_2,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f205,plain,
( ~ sQ10_spl
| product(e_2,e_4,e_3) ),
inference(component_clause,[status(thm)],[f204]) ).
fof(f207,definition,
( sQ11_spl
<=> product(e_2,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f208,plain,
( ~ sQ11_spl
| product(e_2,e_4,e_4) ),
inference(component_clause,[status(thm)],[f207]) ).
fof(f210,plain,
( sQ11_spl
| sQ10_spl
| sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f170,f198,f201,f204,f207]) ).
fof(f211,definition,
( sQ12_spl
<=> product(e_1,e_4,e_1) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( ~ sQ12_spl
| product(e_1,e_4,e_1) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,definition,
( sQ13_spl
<=> product(e_1,e_4,e_2) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f215,plain,
( ~ sQ13_spl
| product(e_1,e_4,e_2) ),
inference(component_clause,[status(thm)],[f214]) ).
fof(f217,definition,
( sQ14_spl
<=> product(e_1,e_4,e_3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f220,definition,
( sQ15_spl
<=> product(e_1,e_4,e_4) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f221,plain,
( ~ sQ15_spl
| product(e_1,e_4,e_4) ),
inference(component_clause,[status(thm)],[f220]) ).
fof(f223,plain,
( sQ15_spl
| sQ14_spl
| sQ13_spl
| sQ12_spl ),
inference(split_clause,[status(thm)],[f171,f211,f214,f217,f220]) ).
fof(f224,plain,
( ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f221,f149]) ).
fof(f225,plain,
~ sQ15_spl,
inference(contradiction_clause,[status(thm)],[f224]) ).
fof(f226,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f208,f158]) ).
fof(f227,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f226]) ).
fof(f228,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f195,f163]) ).
fof(f229,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f228]) ).
fof(f239,plain,
( product(e_4,e_3,e_4)
| product(e_4,e_3,e_3)
| product(e_4,e_3,e_2)
| product(e_4,e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f48]) ).
fof(f240,plain,
( product(e_3,e_3,e_4)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_2)
| product(e_3,e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f47]) ).
fof(f241,plain,
( product(e_2,e_3,e_4)
| product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f46]) ).
fof(f242,plain,
( product(e_1,e_3,e_4)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[status(thm)],[f143,f45]) ).
fof(f243,definition,
( sQ16_spl
<=> product(e_4,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f244,plain,
( ~ sQ16_spl
| product(e_4,e_3,e_1) ),
inference(component_clause,[status(thm)],[f243]) ).
fof(f246,definition,
( sQ17_spl
<=> product(e_4,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f247,plain,
( ~ sQ17_spl
| product(e_4,e_3,e_2) ),
inference(component_clause,[status(thm)],[f246]) ).
fof(f249,definition,
( sQ18_spl
<=> product(e_4,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f250,plain,
( ~ sQ18_spl
| product(e_4,e_3,e_3) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,definition,
( sQ19_spl
<=> product(e_4,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( ~ sQ19_spl
| product(e_4,e_3,e_4) ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( sQ19_spl
| sQ18_spl
| sQ17_spl
| sQ16_spl ),
inference(split_clause,[status(thm)],[f239,f243,f246,f249,f252]) ).
fof(f256,definition,
( sQ20_spl
<=> product(e_3,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f257,plain,
( ~ sQ20_spl
| product(e_3,e_3,e_1) ),
inference(component_clause,[status(thm)],[f256]) ).
fof(f259,definition,
( sQ21_spl
<=> product(e_3,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( ~ sQ21_spl
| product(e_3,e_3,e_2) ),
inference(component_clause,[status(thm)],[f259]) ).
fof(f262,definition,
( sQ22_spl
<=> product(e_3,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f265,definition,
( sQ23_spl
<=> product(e_3,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f266,plain,
( ~ sQ23_spl
| product(e_3,e_3,e_4) ),
inference(component_clause,[status(thm)],[f265]) ).
fof(f268,plain,
( sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl ),
inference(split_clause,[status(thm)],[f240,f256,f259,f262,f265]) ).
fof(f269,definition,
( sQ24_spl
<=> product(e_2,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f270,plain,
( ~ sQ24_spl
| product(e_2,e_3,e_1) ),
inference(component_clause,[status(thm)],[f269]) ).
fof(f272,definition,
( sQ25_spl
<=> product(e_2,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f273,plain,
( ~ sQ25_spl
| product(e_2,e_3,e_2) ),
inference(component_clause,[status(thm)],[f272]) ).
fof(f275,definition,
( sQ26_spl
<=> product(e_2,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f276,plain,
( ~ sQ26_spl
| product(e_2,e_3,e_3) ),
inference(component_clause,[status(thm)],[f275]) ).
fof(f278,definition,
( sQ27_spl
<=> product(e_2,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f279,plain,
( ~ sQ27_spl
| product(e_2,e_3,e_4) ),
inference(component_clause,[status(thm)],[f278]) ).
fof(f281,plain,
( sQ27_spl
| sQ26_spl
| sQ25_spl
| sQ24_spl ),
inference(split_clause,[status(thm)],[f241,f269,f272,f275,f278]) ).
fof(f282,definition,
( sQ28_spl
<=> product(e_1,e_3,e_1) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f283,plain,
( ~ sQ28_spl
| product(e_1,e_3,e_1) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,definition,
( sQ29_spl
<=> product(e_1,e_3,e_2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f288,definition,
( sQ30_spl
<=> product(e_1,e_3,e_3) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f289,plain,
( ~ sQ30_spl
| product(e_1,e_3,e_3) ),
inference(component_clause,[status(thm)],[f288]) ).
fof(f291,definition,
( sQ31_spl
<=> product(e_1,e_3,e_4) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( ~ sQ31_spl
| product(e_1,e_3,e_4) ),
inference(component_clause,[status(thm)],[f291]) ).
fof(f294,plain,
( sQ31_spl
| sQ30_spl
| sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f242,f282,f285,f288,f291]) ).
fof(f295,plain,
( ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f100]) ).
fof(f296,plain,
~ sQ30_spl,
inference(contradiction_clause,[status(thm)],[f295]) ).
fof(f297,plain,
( ~ sQ26_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f276,f153]) ).
fof(f298,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f260,f155]) ).
fof(f300,plain,
~ sQ21_spl,
inference(contradiction_clause,[status(thm)],[f299]) ).
fof(f301,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f257,f146]) ).
fof(f302,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f301]) ).
fof(f303,plain,
( ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f253,f164]) ).
fof(f304,plain,
~ sQ19_spl,
inference(contradiction_clause,[status(thm)],[f303]) ).
fof(f311,plain,
( ~ sQ12_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f212,f85]) ).
fof(f313,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f311,f68]) ).
fof(f314,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f313]) ).
fof(f322,plain,
( ~ sQ10_spl
| ~ product(e_2,e_1,e_3) ),
inference(resolution,[status(thm)],[f205,f85]) ).
fof(f331,plain,
( ~ sQ9_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f202,f108]) ).
fof(f335,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f331,f68]) ).
fof(f336,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f335]) ).
fof(f340,plain,
( ~ sQ8_spl
| ~ product(e_2,e_3,e_1) ),
inference(resolution,[status(thm)],[f199,f123]) ).
fof(f391,plain,
( product(e_4,e_2,e_4)
| product(e_4,e_2,e_3)
| product(e_4,e_2,e_2)
| product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f144,f48]) ).
fof(f395,definition,
( sQ32_spl
<=> product(e_4,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( ~ sQ32_spl
| product(e_4,e_2,e_1) ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,definition,
( sQ33_spl
<=> product(e_4,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( ~ sQ33_spl
| product(e_4,e_2,e_2) ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,definition,
( sQ34_spl
<=> product(e_4,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( ~ sQ34_spl
| product(e_4,e_2,e_3) ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,definition,
( sQ35_spl
<=> product(e_4,e_2,e_4) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( ~ sQ35_spl
| product(e_4,e_2,e_4) ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( sQ35_spl
| sQ34_spl
| sQ33_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f391,f395,f398,f401,f404]) ).
fof(f411,definition,
( sQ37_spl
<=> product(e_3,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( ~ sQ37_spl
| product(e_3,e_2,e_2) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ38_spl
<=> product(e_3,e_2,e_3) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( ~ sQ38_spl
| product(e_3,e_2,e_3) ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f421,definition,
( sQ40_spl
<=> product(e_2,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ40_spl
| product(e_2,e_2,e_1) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f434,definition,
( sQ44_spl
<=> product(e_1,e_2,e_1) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( ~ sQ44_spl
| product(e_1,e_2,e_1) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ45_spl
<=> product(e_1,e_2,e_2) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ45_spl
| product(e_1,e_2,e_2) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f447,plain,
( ~ sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f438,f97]) ).
fof(f448,plain,
~ sQ45_spl,
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f449,plain,
( ~ sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f422,f99]) ).
fof(f450,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f449]) ).
fof(f451,plain,
( ~ sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f415,f154]) ).
fof(f452,plain,
~ sQ38_spl,
inference(contradiction_clause,[status(thm)],[f451]) ).
fof(f453,plain,
( ~ sQ35_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f159]) ).
fof(f454,plain,
~ sQ35_spl,
inference(contradiction_clause,[status(thm)],[f453]) ).
fof(f456,plain,
( product(e_3,e_1,e_4)
| product(e_3,e_1,e_3)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_1) ),
inference(resolution,[status(thm)],[f145,f47]) ).
fof(f457,plain,
( product(e_2,e_1,e_4)
| product(e_2,e_1,e_3)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(resolution,[status(thm)],[f145,f46]) ).
fof(f468,definition,
( sQ51_spl
<=> product(e_4,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ51_spl
| product(e_4,e_1,e_4) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f472,definition,
( sQ52_spl
<=> product(e_3,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( ~ sQ52_spl
| product(e_3,e_1,e_1) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,definition,
( sQ53_spl
<=> product(e_3,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ53_spl
| product(e_3,e_1,e_2) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ54_spl
<=> product(e_3,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( ~ sQ54_spl
| product(e_3,e_1,e_3) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ55_spl
<=> product(e_3,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ55_spl
| product(e_3,e_1,e_4) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,plain,
( sQ55_spl
| sQ54_spl
| sQ53_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f456,f472,f475,f478,f481]) ).
fof(f485,definition,
( sQ56_spl
<=> product(e_2,e_1,e_1) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( ~ sQ56_spl
| product(e_2,e_1,e_1) ),
inference(component_clause,[status(thm)],[f485]) ).
fof(f488,definition,
( sQ57_spl
<=> product(e_2,e_1,e_2) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ57_spl
| product(e_2,e_1,e_2) ),
inference(component_clause,[status(thm)],[f488]) ).
fof(f491,definition,
( sQ58_spl
<=> product(e_2,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( ~ sQ58_spl
| product(e_2,e_1,e_3) ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,definition,
( sQ59_spl
<=> product(e_2,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f495,plain,
( ~ sQ59_spl
| product(e_2,e_1,e_4) ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( sQ59_spl
| sQ58_spl
| sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f457,f485,f488,f491,f494]) ).
fof(f504,definition,
( sQ62_spl
<=> product(e_1,e_1,e_3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f505,plain,
( ~ sQ62_spl
| product(e_1,e_1,e_3) ),
inference(component_clause,[status(thm)],[f504]) ).
fof(f507,definition,
( sQ63_spl
<=> product(e_1,e_1,e_4) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f508,plain,
( ~ sQ63_spl
| product(e_1,e_1,e_4) ),
inference(component_clause,[status(thm)],[f507]) ).
fof(f511,plain,
( ~ sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f98]) ).
fof(f512,plain,
~ sQ57_spl,
inference(contradiction_clause,[status(thm)],[f511]) ).
fof(f513,plain,
( ~ sQ54_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f479,f101]) ).
fof(f514,plain,
~ sQ54_spl,
inference(contradiction_clause,[status(thm)],[f513]) ).
fof(f515,plain,
( ~ sQ51_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f150]) ).
fof(f516,plain,
~ sQ51_spl,
inference(contradiction_clause,[status(thm)],[f515]) ).
fof(f526,plain,
( ~ sQ28_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f283,f79]) ).
fof(f528,plain,
( ~ sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f526,f68]) ).
fof(f529,plain,
~ sQ28_spl,
inference(contradiction_clause,[status(thm)],[f528]) ).
fof(f531,plain,
( ~ sQ27_spl
| ~ product(e_1,e_3,e_4) ),
inference(resolution,[status(thm)],[f279,f73]) ).
fof(f533,plain,
! [X0] :
( ~ sQ27_spl
| ~ product(X0,e_4,e_4)
| ~ product(X0,e_2,e_3) ),
inference(resolution,[status(thm)],[f279,f165]) ).
fof(f541,plain,
( ~ sQ27_spl
| ~ sQ31_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f531,f292]) ).
fof(f542,plain,
( ~ sQ27_spl
| ~ sQ31_spl ),
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f546,plain,
( ~ sQ25_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f273,f103]) ).
fof(f552,plain,
( ~ sQ24_spl
| ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f340]) ).
fof(f553,plain,
( ~ sQ24_spl
| ~ sQ8_spl ),
inference(contradiction_clause,[status(thm)],[f552]) ).
fof(f554,plain,
( ~ sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f68]) ).
fof(f555,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f554]) ).
fof(f566,plain,
( ~ sQ23_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f266,f124]) ).
fof(f570,plain,
( ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f566,f68]) ).
fof(f571,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f573,plain,
( ~ sQ18_spl
| ~ product(e_3,e_3,e_3) ),
inference(resolution,[status(thm)],[f250,f122]) ).
fof(f584,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f573,f68]) ).
fof(f585,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f584]) ).
fof(f591,plain,
( ~ sQ17_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f247,f84]) ).
fof(f597,plain,
( ~ sQ17_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f591,f285,f246]) ).
fof(f606,plain,
( ~ sQ16_spl
| ~ product(e_4,e_2,e_1) ),
inference(resolution,[status(thm)],[f244,f103]) ).
fof(f628,plain,
( ~ sQ44_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f435,f74]) ).
fof(f630,plain,
( ~ sQ44_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f68]) ).
fof(f631,plain,
~ sQ44_spl,
inference(contradiction_clause,[status(thm)],[f630]) ).
fof(f661,plain,
( ~ sQ37_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f412,f102]) ).
fof(f667,plain,
( ~ sQ37_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f661,f68]) ).
fof(f668,plain,
~ sQ37_spl,
inference(contradiction_clause,[status(thm)],[f667]) ).
fof(f682,plain,
( ~ sQ27_spl
| ~ sQ34_spl
| ~ product(e_4,e_4,e_4) ),
inference(resolution,[status(thm)],[f402,f533]) ).
fof(f689,plain,
( ~ sQ27_spl
| ~ sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f68]) ).
fof(f690,plain,
( ~ sQ27_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f689]) ).
fof(f694,plain,
( ~ sQ33_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f399,f107]) ).
fof(f700,plain,
( ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f694,f68]) ).
fof(f701,plain,
~ sQ33_spl,
inference(contradiction_clause,[status(thm)],[f700]) ).
fof(f718,plain,
( ~ sQ63_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f508,f86]) ).
fof(f719,plain,
( ~ sQ63_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f718,f68]) ).
fof(f720,plain,
~ sQ63_spl,
inference(contradiction_clause,[status(thm)],[f719]) ).
fof(f721,plain,
( ~ sQ16_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f606,f396]) ).
fof(f722,plain,
( ~ sQ16_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f721]) ).
fof(f730,plain,
( ~ sQ62_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f505,f80]) ).
fof(f731,plain,
( ~ sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f730,f68]) ).
fof(f732,plain,
~ sQ62_spl,
inference(contradiction_clause,[status(thm)],[f731]) ).
fof(f755,plain,
( ~ sQ56_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f486,f73]) ).
fof(f758,plain,
( ~ sQ56_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f755,f68]) ).
fof(f759,plain,
~ sQ56_spl,
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f762,plain,
( ~ sQ55_spl
| ~ product(e_2,e_1,e_4) ),
inference(resolution,[status(thm)],[f482,f102]) ).
fof(f770,plain,
( ~ sQ55_spl
| ~ sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f762,f495]) ).
fof(f771,plain,
( ~ sQ55_spl
| ~ sQ59_spl ),
inference(contradiction_clause,[status(thm)],[f770]) ).
fof(f776,plain,
! [X0] :
( ~ sQ53_spl
| ~ product(X0,e_2,e_2)
| ~ product(X0,e_3,e_1) ),
inference(resolution,[status(thm)],[f476,f94]) ).
fof(f783,plain,
( ~ sQ52_spl
| ~ product(e_1,e_1,e_1) ),
inference(resolution,[status(thm)],[f473,f78]) ).
fof(f785,plain,
( ~ sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f783,f68]) ).
fof(f786,plain,
~ sQ52_spl,
inference(contradiction_clause,[status(thm)],[f785]) ).
fof(f823,plain,
( ~ sQ13_spl
| ~ product(e_1,e_3,e_2) ),
inference(resolution,[status(thm)],[f215,f123]) ).
fof(f829,plain,
( ~ sQ13_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f823,f285,f214]) ).
fof(f831,plain,
( ~ sQ58_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f492,f322]) ).
fof(f832,plain,
( ~ sQ58_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f831]) ).
fof(f859,plain,
( ~ sQ53_spl
| ~ sQ24_spl
| ~ product(e_2,e_2,e_2) ),
inference(resolution,[status(thm)],[f270,f776]) ).
fof(f864,plain,
( ~ sQ53_spl
| ~ sQ24_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f859,f68]) ).
fof(f865,plain,
( ~ sQ53_spl
| ~ sQ24_spl ),
inference(contradiction_clause,[status(thm)],[f864]) ).
fof(f866,plain,
$false,
inference(sat_refutation,[status(thm)],[f210,f223,f225,f227,f229,f255,f268,f281,f294,f296,f298,f300,f302,f304,f314,f336,f407,f448,f450,f452,f454,f484,f497,f512,f514,f516,f529,f542,f553,f555,f571,f585,f597,f631,f668,f690,f701,f720,f722,f732,f759,f771,f786,f829,f832,f865]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-2.004 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 % Computer : n026.cluster.edu
% 0.19/0.43 % Model : x86_64 x86_64
% 0.19/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.43 % Memory : 8046.5625MB
% 0.19/0.43 % OS : Linux 6.8.0-71-generic
% 0.19/0.43 % CPULimit : 300
% 0.19/0.43 % WCLimit : 300
% 0.19/0.43 % DateTime : Sun Sep 20 20:01:21 UTC 2026
% 0.19/0.43 % CPUTime :
% 0.19/0.44 % Drodi V4.1.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.52 % Elapsed time: 0.076337 seconds
% 0.19/0.52 % CPU time: 0.281402 seconds
% 0.19/0.52 % Total memory used: 10.738 MB
% 0.19/0.52 % Net memory used: 10.525 MB
%------------------------------------------------------------------------------