%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP197-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:33:05 PM UTC 2026
% Result : Unsatisfiable 22.17s 3.45s
% Output : CNFRefutation 22.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 5
% Syntax : Number of formulae : 50 ( 44 unt; 0 def)
% Number of atoms : 56 ( 55 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 25 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 115 ( 115 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( A = C
| multiply(A,B) != multiply(C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] :
( B = C
| multiply(A,B) != multiply(A,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X,Y] : multiply(X,multiply(X,multiply(X,multiply(Y,Y)))) = multiply(Y,multiply(X,multiply(X,multiply(Y,X)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(b,multiply(b,multiply(a,multiply(a,a)))) != multiply(a,multiply(b,multiply(a,multiply(a,b)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
! [A,C] :
( A = C
| ! [B] : multiply(A,B) != multiply(C,B) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] :
( X0 = X2
| multiply(X0,X1) != multiply(X2,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [B,C] :
( B = C
| ! [A] : multiply(A,B) != multiply(A,C) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] :
( X1 = X2
| multiply(X0,X1) != multiply(X0,X2) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,X1)))) = multiply(X1,multiply(X0,multiply(X0,multiply(X1,X0)))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
multiply(b,multiply(b,multiply(a,multiply(a,a)))) != multiply(a,multiply(b,multiply(a,multiply(a,b)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [X0] : multiply(multiply(b,multiply(b,multiply(a,multiply(a,a)))),X0) != multiply(multiply(a,multiply(b,multiply(a,multiply(a,b)))),X0),
inference(resolution,[status(thm)],[f8,f12]) ).
fof(f18,plain,
! [X0] : multiply(b,multiply(multiply(b,multiply(a,multiply(a,a))),X0)) != multiply(multiply(a,multiply(b,multiply(a,multiply(a,b)))),X0),
inference(forward_demodulation,[status(thm)],[f6,f16]) ).
fof(f19,plain,
! [X0] : multiply(b,multiply(b,multiply(multiply(a,multiply(a,a)),X0))) != multiply(multiply(a,multiply(b,multiply(a,multiply(a,b)))),X0),
inference(forward_demodulation,[status(thm)],[f6,f18]) ).
fof(f20,plain,
! [X0] : multiply(b,multiply(b,multiply(a,multiply(multiply(a,a),X0)))) != multiply(multiply(a,multiply(b,multiply(a,multiply(a,b)))),X0),
inference(forward_demodulation,[status(thm)],[f6,f19]) ).
fof(f21,plain,
! [X0] : multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,X0))))) != multiply(multiply(a,multiply(b,multiply(a,multiply(a,b)))),X0),
inference(forward_demodulation,[status(thm)],[f6,f20]) ).
fof(f22,plain,
! [X0] : multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,X0))))) != multiply(a,multiply(multiply(b,multiply(a,multiply(a,b))),X0)),
inference(forward_demodulation,[status(thm)],[f6,f21]) ).
fof(f23,plain,
! [X0] : multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,X0))))) != multiply(a,multiply(b,multiply(multiply(a,multiply(a,b)),X0))),
inference(forward_demodulation,[status(thm)],[f6,f22]) ).
fof(f24,plain,
! [X0] : multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,X0))))) != multiply(a,multiply(b,multiply(a,multiply(multiply(a,b),X0)))),
inference(forward_demodulation,[status(thm)],[f6,f23]) ).
fof(f25,plain,
! [X0] : multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,X0))))) != multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,X0))))),
inference(forward_demodulation,[status(thm)],[f6,f24]) ).
fof(f56,plain,
! [X0,X1] : multiply(X0,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,X1)))))) != multiply(X0,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,X1)))))),
inference(resolution,[status(thm)],[f10,f25]) ).
fof(f60,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,X2))))))) != multiply(X0,multiply(X1,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,X2))))))),
inference(resolution,[status(thm)],[f56,f10]) ).
fof(f116,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,X3)))))))) != multiply(X0,multiply(X1,multiply(X2,multiply(a,multiply(b,multiply(a,multiply(a,multiply(b,X3)))))))),
inference(resolution,[status(thm)],[f60,f10]) ).
fof(f184,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(multiply(X0,X1),multiply(multiply(X0,X1),multiply(X2,X2))))) = multiply(X2,multiply(multiply(X0,X1),multiply(multiply(X0,X1),multiply(X2,multiply(X0,X1))))),
inference(paramodulation,[status(thm)],[f6,f11]) ).
fof(f198,plain,
! [X0,X1,X2] : multiply(multiply(X0,multiply(X1,multiply(X1,multiply(X0,X1)))),X2) = multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X0,X0))),X2)),
inference(paramodulation,[status(thm)],[f11,f6]) ).
fof(f207,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(multiply(X0,X1),multiply(X2,X2)))))) = multiply(X2,multiply(multiply(X0,X1),multiply(multiply(X0,X1),multiply(X2,multiply(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f6,f184]) ).
fof(f208,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X2,X2))))))) = multiply(X2,multiply(multiply(X0,X1),multiply(multiply(X0,X1),multiply(X2,multiply(X0,X1))))),
inference(forward_demodulation,[status(thm)],[f6,f207]) ).
fof(f209,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X2,X2))))))) = multiply(X2,multiply(X0,multiply(X1,multiply(multiply(X0,X1),multiply(X2,multiply(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f6,f208]) ).
fof(f210,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X2,X2))))))) = multiply(X2,multiply(X0,multiply(X1,multiply(X0,multiply(X1,multiply(X2,multiply(X0,X1))))))),
inference(forward_demodulation,[status(thm)],[f6,f209]) ).
fof(f237,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X1,multiply(X1,multiply(X0,X1))),X2)) = multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X0,X0))),X2)),
inference(forward_demodulation,[status(thm)],[f6,f198]) ).
fof(f238,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(multiply(X1,multiply(X0,X1)),X2))) = multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X0,X0))),X2)),
inference(forward_demodulation,[status(thm)],[f6,f237]) ).
fof(f239,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X1,multiply(multiply(X0,X1),X2)))) = multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X0,X0))),X2)),
inference(forward_demodulation,[status(thm)],[f6,f238]) ).
fof(f240,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X1,multiply(X0,multiply(X1,X2))))) = multiply(X1,multiply(multiply(X1,multiply(X1,multiply(X0,X0))),X2)),
inference(forward_demodulation,[status(thm)],[f6,f239]) ).
fof(f241,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X1,multiply(X0,multiply(X1,X2))))) = multiply(X1,multiply(X1,multiply(multiply(X1,multiply(X0,X0)),X2))),
inference(forward_demodulation,[status(thm)],[f6,f240]) ).
fof(f242,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X1,multiply(X0,multiply(X1,X2))))) = multiply(X1,multiply(X1,multiply(X1,multiply(multiply(X0,X0),X2)))),
inference(forward_demodulation,[status(thm)],[f6,f241]) ).
fof(f246,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X1,multiply(X0,multiply(X1,X2))))) = multiply(X1,multiply(X1,multiply(X1,multiply(X0,multiply(X0,X2))))),
inference(forward_demodulation,[status(thm)],[f6,f242]) ).
fof(f263,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X2,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(b,multiply(a,b)))))))))) != multiply(X0,multiply(X1,multiply(X2,multiply(a,multiply(b,multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,a)))))))))),
inference(paramodulation,[status(thm)],[f11,f116]) ).
fof(f462,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(X3,X3)))))))) = multiply(X3,multiply(multiply(X0,X1),multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(X3,multiply(multiply(X0,X1),X2))))))),
inference(paramodulation,[status(thm)],[f6,f210]) ).
fof(f515,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(X3,X3))))))))) = multiply(X3,multiply(multiply(X0,X1),multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(X3,multiply(multiply(X0,X1),X2))))))),
inference(forward_demodulation,[status(thm)],[f6,f462]) ).
fof(f516,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X3,X3)))))))))) = multiply(X3,multiply(multiply(X0,X1),multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(X3,multiply(multiply(X0,X1),X2))))))),
inference(forward_demodulation,[status(thm)],[f6,f515]) ).
fof(f517,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X3,X3)))))))))) = multiply(X3,multiply(X0,multiply(X1,multiply(X2,multiply(multiply(X0,X1),multiply(X2,multiply(X3,multiply(multiply(X0,X1),X2)))))))),
inference(forward_demodulation,[status(thm)],[f6,f516]) ).
fof(f518,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X3,X3)))))))))) = multiply(X3,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(multiply(X0,X1),X2))))))))),
inference(forward_demodulation,[status(thm)],[f6,f517]) ).
fof(f519,plain,
! [X0,X1,X2,X3] : multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X3,X3)))))))))) = multiply(X3,multiply(X0,multiply(X1,multiply(X2,multiply(X0,multiply(X1,multiply(X2,multiply(X3,multiply(X0,multiply(X1,X2)))))))))),
inference(forward_demodulation,[status(thm)],[f6,f518]) ).
fof(f1925,plain,
multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(b,multiply(a,b)))))))))) != multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(b,multiply(b,multiply(b,multiply(a,a)))))))))),
inference(paramodulation,[status(thm)],[f246,f263]) ).
fof(f1969,plain,
multiply(a,multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(a,multiply(b,multiply(a,b)))))))))) != multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,a)))))))))),
inference(forward_demodulation,[status(thm)],[f246,f1925]) ).
fof(f2224,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X0,multiply(X1,multiply(X0,multiply(X2,X2)))))))))) = multiply(X2,multiply(X0,multiply(X0,multiply(X0,multiply(X0,multiply(X1,multiply(X1,multiply(X2,multiply(X0,multiply(X1,X0)))))))))),
inference(paramodulation,[status(thm)],[f246,f519]) ).
fof(f2515,plain,
multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,multiply(b,multiply(a,multiply(b,multiply(a,a)))))))))) != multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,a)))))))))),
inference(backward_demodulation,[status(thm)],[f2224,f1969]) ).
fof(f3616,plain,
multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,a)))))))))) != multiply(b,multiply(b,multiply(b,multiply(b,multiply(a,multiply(a,multiply(b,multiply(a,multiply(b,multiply(a,a)))))))))),
inference(forward_demodulation,[status(thm)],[f246,f2515]) ).
fof(f3617,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f3616]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP197-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:06:18 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 22.17/3.45 % Refutation found
% 22.17/3.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 22.17/3.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 24.00/3.48 % Elapsed time: 3.111367 seconds
% 24.00/3.48 % CPU time: 24.366108 seconds
% 24.00/3.48 % Total memory used: 222.120 MB
% 24.00/3.48 % Net memory used: 219.376 MB
%------------------------------------------------------------------------------