%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP104-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 12:32:31 PM UTC 2026
% Result : Unsatisfiable 1.36s 0.64s
% Output : CNFRefutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 7
% Syntax : Number of formulae : 104 ( 83 unt; 4 def)
% Number of atoms : 131 ( 100 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 22 ~; 23 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 222 ( 222 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : double_divide(X,inverse(double_divide(inverse(double_divide(double_divide(X,Y),inverse(Z))),Y))) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : multiply(X,Y) = inverse(double_divide(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(X0,inverse(double_divide(inverse(double_divide(double_divide(X0,X1),inverse(X2))),X1))) = X2,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f6,plain,
( multiply(a4,b4) != multiply(b4,a4)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f7,definition,
( sQ0_spl
<=> multiply(inverse(a1),a1) = multiply(inverse(b1),b1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f9,plain,
( sQ0_spl
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(component_clause,[status(thm)],[f7]) ).
fof(f10,definition,
( sQ1_spl
<=> multiply(multiply(inverse(b2),b2),a2) = a2 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f12,plain,
( sQ1_spl
| multiply(multiply(inverse(b2),b2),a2) != a2 ),
inference(component_clause,[status(thm)],[f10]) ).
fof(f13,definition,
( sQ2_spl
<=> multiply(multiply(a3,b3),c3) = multiply(a3,multiply(b3,c3)) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f15,plain,
( sQ2_spl
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(component_clause,[status(thm)],[f13]) ).
fof(f16,definition,
( sQ3_spl
<=> multiply(a4,b4) = multiply(b4,a4) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f18,plain,
( sQ3_spl
| multiply(a4,b4) != multiply(b4,a4) ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f6,f7,f10,f13,f16]) ).
fof(f20,plain,
! [X0,X1,X2] : double_divide(X0,inverse(double_divide(multiply(inverse(X1),double_divide(X0,X2)),X2))) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f21,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,multiply(inverse(X2),double_divide(X0,X1)))) = X2,
inference(forward_demodulation,[status(thm)],[f5,f20]) ).
fof(f22,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(X1,multiply(multiply(X2,X3),double_divide(X0,X1)))) = double_divide(X3,X2),
inference(paramodulation,[status(thm)],[f5,f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(X1,multiply(inverse(X2),double_divide(X0,X1))),multiply(inverse(X3),X2))) = X3,
inference(paramodulation,[status(thm)],[f21,f21]) ).
fof(f24,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(inverse(X1),double_divide(X2,X0))),X2) = inverse(X1),
inference(paramodulation,[status(thm)],[f21,f5]) ).
fof(f37,plain,
! [X0,X1] : double_divide(multiply(inverse(X0),X1),inverse(X1)) = X0,
inference(paramodulation,[status(thm)],[f24,f23]) ).
fof(f47,plain,
! [X0,X1,X2] : double_divide(multiply(multiply(X0,X1),X2),inverse(X2)) = double_divide(X1,X0),
inference(paramodulation,[status(thm)],[f5,f37]) ).
fof(f53,plain,
! [X0,X1] : multiply(inverse(X0),multiply(inverse(X1),X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f37,f5]) ).
fof(f56,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(multiply(X1,X2),X0)) = inverse(double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f5,f53]) ).
fof(f57,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(multiply(inverse(X0),X1))) = X1,
inference(paramodulation,[status(thm)],[f53,f37]) ).
fof(f60,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(multiply(X1,X2),X0)) = multiply(X1,X2),
inference(forward_demodulation,[status(thm)],[f5,f56]) ).
fof(f63,plain,
! [X0,X1,X2] : multiply(inverse(X0),inverse(X1)) = multiply(X2,multiply(inverse(X1),double_divide(X0,X2))),
inference(paramodulation,[status(thm)],[f24,f60]) ).
fof(f72,plain,
! [X0,X1] : multiply(multiply(inverse(X0),inverse(X1)),X0) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f63,f24]) ).
fof(f73,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),inverse(X1))) = X1,
inference(backward_demodulation,[status(thm)],[f63,f21]) ).
fof(f88,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,inverse(X2))) = double_divide(inverse(X2),inverse(double_divide(X0,X1))),
inference(paramodulation,[status(thm)],[f72,f22]) ).
fof(f93,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,inverse(X2))) = double_divide(inverse(X2),multiply(X1,X0)),
inference(forward_demodulation,[status(thm)],[f5,f88]) ).
fof(f118,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2))) = X2,
inference(paramodulation,[status(thm)],[f5,f73]) ).
fof(f119,plain,
! [X0,X1,X2] : double_divide(X0,multiply(inverse(X0),multiply(X1,X2))) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f73]) ).
fof(f126,plain,
! [X0,X1,X2] : multiply(inverse(X0),inverse(X1)) = multiply(multiply(inverse(X0),inverse(X2)),multiply(inverse(X1),X2)),
inference(paramodulation,[status(thm)],[f73,f63]) ).
fof(f163,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),inverse(double_divide(X1,X2))) = multiply(multiply(inverse(X0),inverse(X3)),multiply(multiply(X2,X1),X3)),
inference(paramodulation,[status(thm)],[f5,f126]) ).
fof(f173,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(X1,X2)) = multiply(multiply(inverse(X0),inverse(X3)),multiply(multiply(X1,X2),X3)),
inference(forward_demodulation,[status(thm)],[f5,f163]) ).
fof(f186,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(X1),inverse(X2))) = multiply(multiply(inverse(X0),inverse(X1)),inverse(X2)),
inference(paramodulation,[status(thm)],[f72,f173]) ).
fof(f221,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(inverse(X1),inverse(double_divide(X2,X3)))) = multiply(multiply(inverse(X0),inverse(X1)),multiply(X3,X2)),
inference(paramodulation,[status(thm)],[f5,f186]) ).
fof(f224,plain,
! [X0,X1,X2] : multiply(inverse(inverse(X0)),multiply(inverse(X1),multiply(inverse(X2),inverse(X0)))) = multiply(inverse(X1),inverse(X2)),
inference(paramodulation,[status(thm)],[f186,f60]) ).
fof(f236,plain,
! [X0,X1,X2,X3] : multiply(inverse(X0),multiply(inverse(X1),multiply(X2,X3))) = multiply(multiply(inverse(X0),inverse(X1)),multiply(X2,X3)),
inference(forward_demodulation,[status(thm)],[f5,f221]) ).
fof(f315,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(inverse(double_divide(X1,X2)),multiply(X3,X4))) = multiply(multiply(inverse(X0),multiply(X2,X1)),multiply(X3,X4)),
inference(paramodulation,[status(thm)],[f5,f236]) ).
fof(f343,plain,
! [X0,X1,X2,X3,X4] : multiply(inverse(X0),multiply(multiply(X1,X2),multiply(X3,X4))) = multiply(multiply(inverse(X0),multiply(X1,X2)),multiply(X3,X4)),
inference(forward_demodulation,[status(thm)],[f5,f315]) ).
fof(f384,plain,
! [X0,X1,X2] : double_divide(inverse(X0),inverse(multiply(X1,X2))) = multiply(multiply(X1,X2),X0),
inference(paramodulation,[status(thm)],[f60,f57]) ).
fof(f386,plain,
! [X0,X1,X2] : double_divide(inverse(X0),inverse(multiply(inverse(X1),inverse(X2)))) = multiply(inverse(X2),double_divide(X1,inverse(X0))),
inference(paramodulation,[status(thm)],[f63,f57]) ).
fof(f393,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f384,f57]) ).
fof(f398,plain,
! [X0,X1] : multiply(inverse(X0),double_divide(X1,inverse(X1))) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f399,f72]) ).
fof(f399,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),inverse(X1)),X2) = multiply(inverse(X1),double_divide(X0,inverse(X2))),
inference(forward_demodulation,[status(thm)],[f384,f386]) ).
fof(f418,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(X1,X0)) = multiply(multiply(inverse(X2),X1),X2),
inference(paramodulation,[status(thm)],[f393,f60]) ).
fof(f422,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(forward_demodulation,[status(thm)],[f393,f418]) ).
fof(f423,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(X2,double_divide(X1,X0))) = X2,
inference(paramodulation,[status(thm)],[f5,f422]) ).
fof(f431,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(X0,X1))) = X1,
inference(paramodulation,[status(thm)],[f422,f37]) ).
fof(f443,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(inverse(X1),inverse(X2))) = double_divide(multiply(inverse(X2),inverse(X0)),inverse(X1)),
inference(paramodulation,[status(thm)],[f224,f119]) ).
fof(f475,plain,
! [X0,X1,X2] : multiply(multiply(inverse(X0),multiply(inverse(X1),X0)),multiply(X2,X1)) = X2,
inference(paramodulation,[status(thm)],[f37,f423]) ).
fof(f488,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(multiply(inverse(X1),X0),multiply(X2,X1))) = X2,
inference(forward_demodulation,[status(thm)],[f343,f475]) ).
fof(f493,plain,
! [X0,X1,X2] : double_divide(multiply(X0,X1),inverse(X2)) = multiply(X2,double_divide(X1,X0)),
inference(paramodulation,[status(thm)],[f423,f431]) ).
fof(f495,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(X1)) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f422,f431]) ).
fof(f502,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X0,multiply(X1,X2))) = double_divide(X2,X1),
inference(backward_demodulation,[status(thm)],[f493,f47]) ).
fof(f505,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(inverse(X1),inverse(X2))) = multiply(X1,double_divide(inverse(X0),inverse(X2))),
inference(backward_demodulation,[status(thm)],[f493,f443]) ).
fof(f529,plain,
! [X0,X1,X2] : double_divide(inverse(X0),multiply(inverse(X1),inverse(X2))) = multiply(X1,multiply(X2,X0)),
inference(forward_demodulation,[status(thm)],[f495,f505]) ).
fof(f533,plain,
! [X0,X1,X2] : multiply(double_divide(X0,X1),X2) = double_divide(inverse(X2),multiply(X1,X0)),
inference(paramodulation,[status(thm)],[f118,f502]) ).
fof(f538,plain,
! [X0,X1,X2,X3] : multiply(X0,double_divide(X0,multiply(inverse(X1),inverse(X2)))) = double_divide(multiply(inverse(X1),multiply(inverse(X2),inverse(X3))),inverse(inverse(X3))),
inference(paramodulation,[status(thm)],[f224,f502]) ).
fof(f542,plain,
! [X0,X1,X2] : multiply(inverse(inverse(X0)),inverse(X0)) = multiply(multiply(X1,X2),double_divide(X2,X1)),
inference(paramodulation,[status(thm)],[f502,f63]) ).
fof(f551,plain,
! [X0,X1,X2] : multiply(double_divide(inverse(X0),inverse(X1)),X2) = multiply(X1,multiply(X0,X2)),
inference(backward_demodulation,[status(thm)],[f533,f529]) ).
fof(f554,plain,
! [X0,X1,X2] : double_divide(X0,multiply(X1,inverse(X2))) = multiply(double_divide(X0,X1),X2),
inference(backward_demodulation,[status(thm)],[f533,f93]) ).
fof(f555,plain,
! [X0,X1,X2] : double_divide(inverse(X0),inverse(X1)) = double_divide(multiply(inverse(X1),multiply(inverse(X0),inverse(X2))),inverse(inverse(X2))),
inference(forward_demodulation,[status(thm)],[f502,f538]) ).
fof(f556,plain,
! [X0,X1,X2] : multiply(X0,X1) = double_divide(multiply(inverse(X0),multiply(inverse(X1),inverse(X2))),inverse(inverse(X2))),
inference(forward_demodulation,[status(thm)],[f495,f555]) ).
fof(f557,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(inverse(X2),double_divide(multiply(inverse(X1),inverse(X2)),inverse(X0))),
inference(forward_demodulation,[status(thm)],[f493,f556]) ).
fof(f558,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(inverse(X2),multiply(X0,double_divide(inverse(X2),inverse(X1)))),
inference(forward_demodulation,[status(thm)],[f493,f557]) ).
fof(f565,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(inverse(X2),multiply(X0,multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f495,f558]) ).
fof(f577,plain,
! [X0,X1,X2] : multiply(inverse(X0),multiply(inverse(X1),multiply(X0,multiply(X2,X1)))) = X2,
inference(backward_demodulation,[status(thm)],[f590,f488]) ).
fof(f586,plain,
! [X0,X1,X2] : multiply(inverse(inverse(X0)),inverse(X0)) = multiply(X1,multiply(X2,double_divide(X2,X1))),
inference(backward_demodulation,[status(thm)],[f590,f542]) ).
fof(f590,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[status(thm)],[f495,f551]) ).
fof(f605,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[status(thm)],[f565,f577]) ).
fof(f619,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = double_divide(X0,inverse(inverse(X1))),
inference(paramodulation,[status(thm)],[f63,f605]) ).
fof(f621,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(paramodulation,[status(thm)],[f605,f605]) ).
fof(f622,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f422,f605]) ).
fof(f623,plain,
! [X0,X1,X2] : multiply(inverse(X0),double_divide(X1,X2)) = double_divide(X0,multiply(X2,X1)),
inference(paramodulation,[status(thm)],[f502,f605]) ).
fof(f628,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X0,X1)) = double_divide(multiply(X2,X1),inverse(X2)),
inference(paramodulation,[status(thm)],[f605,f502]) ).
fof(f633,plain,
! [X0,X1,X2] : double_divide(inverse(X0),inverse(inverse(X0))) = multiply(X1,multiply(X2,double_divide(X2,X1))),
inference(backward_demodulation,[status(thm)],[f619,f586]) ).
fof(f644,plain,
( sQ3_spl
| multiply(a4,b4) != multiply(a4,b4) ),
inference(backward_demodulation,[status(thm)],[f650,f18]) ).
fof(f650,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(forward_demodulation,[status(thm)],[f621,f622]) ).
fof(f654,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X1),X1)) = inverse(X0),
inference(backward_demodulation,[status(thm)],[f623,f398]) ).
fof(f678,plain,
! [X0,X1,X2] : multiply(X0,double_divide(X0,X1)) = multiply(X2,double_divide(X1,X2)),
inference(forward_demodulation,[status(thm)],[f493,f628]) ).
fof(f683,plain,
! [X0,X1,X2] : multiply(inverse(X0),X0) = multiply(X1,multiply(X2,double_divide(X2,X1))),
inference(forward_demodulation,[status(thm)],[f495,f633]) ).
fof(f684,plain,
! [X0,X1,X2] : multiply(X0,inverse(X0)) = multiply(X1,multiply(X2,double_divide(X2,X1))),
inference(forward_demodulation,[status(thm)],[f650,f683]) ).
fof(f708,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f644]) ).
fof(f709,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f708]) ).
fof(f725,plain,
! [X0,X1] : double_divide(X0,multiply(X1,inverse(X1))) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f650,f654]) ).
fof(f726,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f554,f725]) ).
fof(f728,plain,
! [X0,X1] : multiply(X0,double_divide(X0,X1)) = inverse(X1),
inference(backward_demodulation,[status(thm)],[f729,f678]) ).
fof(f729,plain,
! [X0,X1] : multiply(X0,double_divide(X1,X0)) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f650,f726]) ).
fof(f771,plain,
( sQ2_spl
| multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[status(thm)],[f590,f15]) ).
fof(f772,plain,
( sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f771]) ).
fof(f773,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f772]) ).
fof(f786,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f728,f684]) ).
fof(f788,plain,
( sQ0_spl
| multiply(a1,inverse(a1)) != multiply(inverse(b1),b1) ),
inference(forward_demodulation,[status(thm)],[f650,f9]) ).
fof(f789,plain,
( sQ0_spl
| multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)) ),
inference(forward_demodulation,[status(thm)],[f650,f788]) ).
fof(f812,plain,
( sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f789,f786]) ).
fof(f817,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f812]) ).
fof(f818,plain,
( sQ1_spl
| multiply(inverse(b2),multiply(b2,a2)) != a2 ),
inference(forward_demodulation,[status(thm)],[f590,f12]) ).
fof(f819,plain,
( sQ1_spl
| a2 != a2 ),
inference(forward_demodulation,[status(thm)],[f605,f818]) ).
fof(f820,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f819]) ).
fof(f821,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f822,plain,
$false,
inference(sat_refutation,[status(thm)],[f19,f709,f773,f817,f821]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP104-1 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n007.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sun Sep 20 19:55:20 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 1.36/0.64 % Refutation found
% 1.36/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.36/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.36/0.67 % Elapsed time: 0.309780 seconds
% 1.36/0.67 % CPU time: 2.073446 seconds
% 1.36/0.67 % Total memory used: 107.693 MB
% 1.36/0.67 % Net memory used: 105.413 MB
%------------------------------------------------------------------------------