%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HEN010-7 : TPTP v9.3.1. Released v1.0.0.
% 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 12:45:23 PM UTC 2026
% Result : Unsatisfiable 1.55s 0.75s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 107 ( 45 unt; 0 def)
% Number of atoms : 225 ( 26 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 238 ( 120 ~; 118 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 207 ( 207 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( quotient(X,Y,zero)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] :
( less_equal(Z,X)
| ~ quotient(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X,Y,V1,Z,V2,V3,V4,V5] :
( less_equal(V4,V5)
| ~ quotient(V1,Z,V5)
| ~ quotient(V3,V2,V4)
| ~ quotient(X,Z,V3)
| ~ quotient(Y,Z,V2)
| ~ quotient(X,Y,V1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] : less_equal(zero,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( X = Y
| ~ less_equal(Y,X)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] : quotient(X,Y,divide(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z,W] :
( Z = W
| ~ quotient(X,Y,W)
| ~ quotient(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X] : quotient(X,X,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X] : quotient(X,zero,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X,Y,Z] :
( less_equal(X,Z)
| ~ less_equal(Y,Z)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X,Y,W1,Z,W2] :
( less_equal(W2,Y)
| ~ quotient(X,Z,W2)
| ~ less_equal(W1,Z)
| ~ quotient(X,Y,W1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y,Z,W1,W2] :
( less_equal(W1,W2)
| ~ quotient(Z,X,W2)
| ~ quotient(Z,Y,W1)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y,Z,W1,W2] :
( less_equal(W1,W2)
| ~ quotient(Y,Z,W2)
| ~ quotient(X,Z,W1)
| ~ less_equal(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
quotient(identity,a,idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,hypothesis,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
idQa != idQa_Q__idQ_idQa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0,X1] :
( quotient(X0,X1,zero)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f24,plain,
! [X,Z] :
( less_equal(Z,X)
| ! [Y] : ~ quotient(X,Y,Z) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f25,plain,
! [X0,X1,X2] :
( less_equal(X2,X0)
| ~ quotient(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f26,plain,
! [V4,V5] :
( less_equal(V4,V5)
| ! [V1,Z] :
( ~ quotient(V1,Z,V5)
| ! [V2,V3] :
( ~ quotient(V3,V2,V4)
| ! [X] :
( ~ quotient(X,Z,V3)
| ! [Y] :
( ~ quotient(Y,Z,V2)
| ~ quotient(X,Y,V1) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f27,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7] :
( less_equal(X6,X7)
| ~ quotient(X2,X3,X7)
| ~ quotient(X5,X4,X6)
| ~ quotient(X0,X3,X5)
| ~ quotient(X1,X3,X4)
| ~ quotient(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,plain,
! [X0] : less_equal(zero,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f29,plain,
! [X0,X1] :
( X0 = X1
| ~ less_equal(X1,X0)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f31,plain,
! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f32,plain,
! [Z,W] :
( Z = W
| ! [X,Y] :
( ~ quotient(X,Y,W)
| ~ quotient(X,Y,Z) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f33,plain,
! [X0,X1,X2,X3] :
( X2 = X3
| ~ quotient(X0,X1,X3)
| ~ quotient(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f36,plain,
! [X0] : quotient(X0,X0,zero),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f37,plain,
! [X0] : quotient(X0,zero,X0),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f38,plain,
! [X,Z] :
( less_equal(X,Z)
| ! [Y] :
( ~ less_equal(Y,Z)
| ~ less_equal(X,Y) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f39,plain,
! [X0,X1,X2] :
( less_equal(X0,X2)
| ~ less_equal(X1,X2)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f40,plain,
! [Y,W2] :
( less_equal(W2,Y)
| ! [X,Z] :
( ~ quotient(X,Z,W2)
| ! [W1] :
( ~ less_equal(W1,Z)
| ~ quotient(X,Y,W1) ) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f41,plain,
! [X0,X1,X2,X3,X4] :
( less_equal(X4,X1)
| ~ quotient(X0,X3,X4)
| ~ less_equal(X2,X3)
| ~ quotient(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
! [W1,W2] :
( less_equal(W1,W2)
| ! [X,Z] :
( ~ quotient(Z,X,W2)
| ! [Y] :
( ~ quotient(Z,Y,W1)
| ~ less_equal(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4] :
( less_equal(X3,X4)
| ~ quotient(X2,X0,X4)
| ~ quotient(X2,X1,X3)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [W1,W2] :
( less_equal(W1,W2)
| ! [Y,Z] :
( ~ quotient(Y,Z,W2)
| ! [X] :
( ~ quotient(X,Z,W1)
| ~ less_equal(X,Y) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f45,plain,
! [X0,X1,X2,X3,X4] :
( less_equal(X3,X4)
| ~ quotient(X1,X2,X4)
| ~ quotient(X0,X2,X3)
| ~ less_equal(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
quotient(identity,a,idQa),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f47,plain,
quotient(identity,idQa,idQ_idQa),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f48,plain,
quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f49,plain,
idQa != idQa_Q__idQ_idQa,
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f50,plain,
less_equal(idQa_Q__idQ_idQa,idQa),
inference(resolution,[status(thm)],[f25,f48]) ).
fof(f52,plain,
! [X0] : less_equal(X0,X0),
inference(resolution,[status(thm)],[f37,f25]) ).
fof(f60,plain,
! [X0,X1] : less_equal(divide(X0,X1),X0),
inference(resolution,[status(thm)],[f31,f25]) ).
fof(f71,plain,
! [X0,X1] :
( divide(X0,X1) = X0
| ~ less_equal(X0,divide(X0,X1)) ),
inference(resolution,[status(thm)],[f29,f60]) ).
fof(f72,plain,
! [X0] :
( zero = X0
| ~ less_equal(X0,zero) ),
inference(resolution,[status(thm)],[f29,f28]) ).
fof(f82,plain,
! [X0,X1,X2,X3,X4] :
( less_equal(X3,X4)
| ~ quotient(idQa_Q__idQ_idQa,X0,X4)
| ~ quotient(X2,X1,X3)
| ~ quotient(idQa,X0,X2)
| ~ quotient(idQ_idQa,X0,X1) ),
inference(resolution,[status(thm)],[f27,f48]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( less_equal(X5,X6)
| ~ quotient(divide(X3,X0),X1,X6)
| ~ quotient(X4,X2,X5)
| ~ quotient(X3,X1,X4)
| ~ quotient(X0,X1,X2) ),
inference(resolution,[status(thm)],[f27,f31]) ).
fof(f88,plain,
! [X0] :
( idQ_idQa = X0
| ~ quotient(identity,idQa,X0) ),
inference(resolution,[status(thm)],[f33,f47]) ).
fof(f94,plain,
! [X0,X1] :
( X0 = X1
| ~ quotient(X0,zero,X1) ),
inference(resolution,[status(thm)],[f33,f37]) ).
fof(f95,plain,
! [X0,X1,X2] :
( divide(X0,X1) = X2
| ~ quotient(X0,X1,X2) ),
inference(resolution,[status(thm)],[f33,f31]) ).
fof(f96,plain,
! [X0,X1] :
( zero = X1
| ~ quotient(X0,X0,X1) ),
inference(resolution,[status(thm)],[f33,f36]) ).
fof(f97,plain,
! [X0,X1,X2] :
( less_equal(divide(X0,X2),X1)
| ~ less_equal(X0,X1) ),
inference(resolution,[status(thm)],[f39,f60]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( less_equal(X2,X3)
| ~ quotient(idQa_Q__idQ_idQa,X0,X3)
| ~ quotient(X1,divide(idQ_idQa,X0),X2)
| ~ quotient(idQa,X0,X1) ),
inference(resolution,[status(thm)],[f82,f31]) ).
fof(f130,plain,
! [X0,X1,X2] :
( less_equal(divide(X1,divide(idQ_idQa,X0)),X2)
| ~ quotient(idQa_Q__idQ_idQa,X0,X2)
| ~ quotient(idQa,X0,X1) ),
inference(resolution,[status(thm)],[f109,f31]) ).
fof(f133,plain,
idQ_idQa = divide(identity,idQa),
inference(resolution,[status(thm)],[f88,f31]) ).
fof(f166,plain,
! [X0,X1] :
( less_equal(X1,a)
| ~ quotient(identity,X0,X1)
| ~ less_equal(idQa,X0) ),
inference(resolution,[status(thm)],[f41,f46]) ).
fof(f169,plain,
! [X0,X1] :
( less_equal(X1,idQ_idQa)
| ~ quotient(idQa,X0,X1)
| ~ less_equal(idQa_Q__idQ_idQa,X0) ),
inference(resolution,[status(thm)],[f41,f48]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( less_equal(X3,X1)
| ~ quotient(X0,X2,X3)
| ~ less_equal(divide(X0,X1),X2) ),
inference(resolution,[status(thm)],[f41,f31]) ).
fof(f184,plain,
! [X0,X1,X2] :
( less_equal(X1,X2)
| ~ quotient(idQa,X0,X2)
| ~ quotient(idQa_Q__idQ_idQa,X0,X1) ),
inference(resolution,[status(thm)],[f45,f50]) ).
fof(f203,plain,
! [X0] :
( less_equal(divide(idQa,X0),idQ_idQa)
| ~ less_equal(idQa_Q__idQ_idQa,X0) ),
inference(resolution,[status(thm)],[f169,f31]) ).
fof(f248,plain,
! [X0] : X0 = divide(X0,zero),
inference(resolution,[status(thm)],[f94,f31]) ).
fof(f268,plain,
! [X0] : zero = divide(X0,X0),
inference(resolution,[status(thm)],[f96,f31]) ).
fof(f385,plain,
less_equal(divide(idQa,idQa_Q__idQ_idQa),idQ_idQa),
inference(resolution,[status(thm)],[f203,f52]) ).
fof(f472,plain,
! [X0,X1,X2,X3] :
( less_equal(X2,X3)
| ~ quotient(divide(X0,idQa),idQ_idQa,X3)
| ~ quotient(X1,idQa_Q__idQ_idQa,X2)
| ~ quotient(X0,idQ_idQa,X1) ),
inference(resolution,[status(thm)],[f85,f48]) ).
fof(f555,plain,
! [X0,X1,X2] :
( less_equal(X1,X2)
| ~ quotient(divide(X0,idQa),idQ_idQa,X2)
| ~ quotient(divide(X0,idQ_idQa),idQa_Q__idQ_idQa,X1) ),
inference(resolution,[status(thm)],[f472,f31]) ).
fof(f565,plain,
! [X0,X1] :
( less_equal(divide(divide(X0,idQ_idQa),idQa_Q__idQ_idQa),X1)
| ~ quotient(divide(X0,idQa),idQ_idQa,X1) ),
inference(resolution,[status(thm)],[f555,f31]) ).
fof(f578,plain,
! [X0] :
( less_equal(divide(divide(identity,idQ_idQa),idQa_Q__idQ_idQa),X0)
| ~ quotient(idQ_idQa,idQ_idQa,X0) ),
inference(paramodulation,[status(thm)],[f133,f565]) ).
fof(f621,plain,
( less_equal(idQ_idQa,a)
| ~ less_equal(idQa,idQa) ),
inference(resolution,[status(thm)],[f166,f47]) ).
fof(f627,plain,
less_equal(idQ_idQa,a),
inference(forward_subsumption_resolution,[status(thm)],[f621,f52]) ).
fof(f633,plain,
quotient(divide(idQa,idQa_Q__idQ_idQa),idQ_idQa,zero),
inference(resolution,[status(thm)],[f385,f22]) ).
fof(f821,plain,
! [X0,X1,X2] :
( less_equal(X2,X1)
| ~ quotient(X0,divide(X0,X1),X2) ),
inference(resolution,[status(thm)],[f172,f52]) ).
fof(f872,plain,
divide(divide(idQa,idQa_Q__idQ_idQa),idQ_idQa) = zero,
inference(resolution,[status(thm)],[f633,f95]) ).
fof(f913,plain,
! [X0,X1] : less_equal(divide(X0,divide(X0,X1)),X1),
inference(resolution,[status(thm)],[f821,f31]) ).
fof(f919,plain,
! [X0] :
( less_equal(X0,idQa)
| ~ quotient(identity,idQ_idQa,X0) ),
inference(paramodulation,[status(thm)],[f133,f821]) ).
fof(f928,plain,
less_equal(divide(identity,idQ_idQa),idQa),
inference(resolution,[status(thm)],[f919,f31]) ).
fof(f1039,plain,
! [X0] :
( less_equal(divide(idQa_Q__idQ_idQa,divide(idQ_idQa,idQ_idQa)),X0)
| ~ quotient(idQa_Q__idQ_idQa,idQ_idQa,X0) ),
inference(resolution,[status(thm)],[f130,f48]) ).
fof(f1044,plain,
! [X0] :
( less_equal(divide(idQa_Q__idQ_idQa,zero),X0)
| ~ quotient(idQa_Q__idQ_idQa,idQ_idQa,X0) ),
inference(forward_demodulation,[status(thm)],[f268,f1039]) ).
fof(f1045,plain,
! [X0] :
( less_equal(idQa_Q__idQ_idQa,X0)
| ~ quotient(idQa_Q__idQ_idQa,idQ_idQa,X0) ),
inference(forward_demodulation,[status(thm)],[f248,f1044]) ).
fof(f1071,plain,
less_equal(idQa_Q__idQ_idQa,divide(idQa_Q__idQ_idQa,idQ_idQa)),
inference(resolution,[status(thm)],[f1045,f31]) ).
fof(f1079,plain,
divide(idQa_Q__idQ_idQa,idQ_idQa) = idQa_Q__idQ_idQa,
inference(resolution,[status(thm)],[f1071,f71]) ).
fof(f1117,plain,
quotient(idQa_Q__idQ_idQa,idQ_idQa,idQa_Q__idQ_idQa),
inference(paramodulation,[status(thm)],[f1079,f31]) ).
fof(f1171,plain,
! [X0] : less_equal(divide(idQ_idQa,X0),a),
inference(resolution,[status(thm)],[f97,f627]) ).
fof(f1374,plain,
! [X0,X1,X2,X3] :
( less_equal(X1,X3)
| ~ quotient(X0,divide(idQ_idQa,X2),X3)
| ~ quotient(X0,a,X1) ),
inference(resolution,[status(thm)],[f1171,f43]) ).
fof(f1408,plain,
! [X0,X1] :
( less_equal(idQa,X1)
| ~ quotient(identity,divide(idQ_idQa,X0),X1) ),
inference(resolution,[status(thm)],[f1374,f46]) ).
fof(f1584,plain,
! [X0] :
( less_equal(idQa,X0)
| ~ quotient(identity,idQ_idQa,X0) ),
inference(paramodulation,[status(thm)],[f248,f1408]) ).
fof(f1586,plain,
less_equal(idQa,divide(identity,idQ_idQa)),
inference(resolution,[status(thm)],[f1584,f31]) ).
fof(f1756,plain,
! [X0,X1,X2,X3,X4] :
( less_equal(X2,X4)
| ~ quotient(X0,divide(X3,divide(X3,X1)),X4)
| ~ quotient(X0,X1,X2) ),
inference(resolution,[status(thm)],[f913,f43]) ).
fof(f1758,plain,
! [X0,X1] :
( divide(X1,divide(X1,X0)) = X0
| ~ less_equal(X0,divide(X1,divide(X1,X0))) ),
inference(resolution,[status(thm)],[f913,f29]) ).
fof(f1908,plain,
! [X0,X1] :
( less_equal(idQa_Q__idQ_idQa,X1)
| ~ quotient(idQa_Q__idQ_idQa,divide(X0,divide(X0,idQ_idQa)),X1) ),
inference(resolution,[status(thm)],[f1756,f1117]) ).
fof(f1946,plain,
! [X0] :
( less_equal(idQa_Q__idQ_idQa,X0)
| ~ quotient(idQa_Q__idQ_idQa,divide(divide(idQa,idQa_Q__idQ_idQa),zero),X0) ),
inference(paramodulation,[status(thm)],[f872,f1908]) ).
fof(f1952,plain,
! [X0] :
( less_equal(idQa_Q__idQ_idQa,X0)
| ~ quotient(idQa_Q__idQ_idQa,divide(idQa,idQa_Q__idQ_idQa),X0) ),
inference(forward_demodulation,[status(thm)],[f248,f1946]) ).
fof(f1957,plain,
less_equal(idQa_Q__idQ_idQa,divide(idQa_Q__idQ_idQa,divide(idQa,idQa_Q__idQ_idQa))),
inference(resolution,[status(thm)],[f1952,f31]) ).
fof(f1959,plain,
divide(idQa_Q__idQ_idQa,divide(idQa,idQa_Q__idQ_idQa)) = idQa_Q__idQ_idQa,
inference(resolution,[status(thm)],[f1957,f71]) ).
fof(f2003,plain,
quotient(idQa_Q__idQ_idQa,divide(idQa,idQa_Q__idQ_idQa),idQa_Q__idQ_idQa),
inference(paramodulation,[status(thm)],[f1959,f31]) ).
fof(f2022,plain,
! [X0] :
( less_equal(idQa_Q__idQ_idQa,X0)
| ~ quotient(idQa,divide(idQa,idQa_Q__idQ_idQa),X0) ),
inference(resolution,[status(thm)],[f2003,f184]) ).
fof(f2046,plain,
less_equal(idQa_Q__idQ_idQa,divide(idQa,divide(idQa,idQa_Q__idQ_idQa))),
inference(resolution,[status(thm)],[f2022,f31]) ).
fof(f2048,plain,
divide(idQa,divide(idQa,idQa_Q__idQ_idQa)) = idQa_Q__idQ_idQa,
inference(resolution,[status(thm)],[f2046,f1758]) ).
fof(f2573,plain,
( idQa = divide(identity,idQ_idQa)
| ~ less_equal(divide(identity,idQ_idQa),idQa) ),
inference(resolution,[status(thm)],[f1586,f29]) ).
fof(f2575,plain,
idQa = divide(identity,idQ_idQa),
inference(forward_subsumption_resolution,[status(thm)],[f2573,f928]) ).
fof(f2583,plain,
! [X0] :
( less_equal(divide(idQa,idQa_Q__idQ_idQa),X0)
| ~ quotient(idQ_idQa,idQ_idQa,X0) ),
inference(backward_demodulation,[status(thm)],[f2575,f578]) ).
fof(f2620,plain,
less_equal(divide(idQa,idQa_Q__idQ_idQa),divide(idQ_idQa,idQ_idQa)),
inference(resolution,[status(thm)],[f2583,f31]) ).
fof(f2622,plain,
less_equal(divide(idQa,idQa_Q__idQ_idQa),zero),
inference(forward_demodulation,[status(thm)],[f268,f2620]) ).
fof(f2666,plain,
zero = divide(idQa,idQa_Q__idQ_idQa),
inference(resolution,[status(thm)],[f2622,f72]) ).
fof(f2699,plain,
divide(idQa,zero) = idQa_Q__idQ_idQa,
inference(backward_demodulation,[status(thm)],[f2666,f2048]) ).
fof(f2774,plain,
idQa = idQa_Q__idQ_idQa,
inference(forward_demodulation,[status(thm)],[f248,f2699]) ).
fof(f2775,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2774,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HEN010-7 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:47:33 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 1.55/0.75 % Refutation found
% 1.55/0.75 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.55/0.75 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.55/0.78 % Elapsed time: 0.409807 seconds
% 1.55/0.78 % CPU time: 2.884685 seconds
% 1.55/0.78 % Total memory used: 65.735 MB
% 1.55/0.78 % Net memory used: 60.471 MB
%------------------------------------------------------------------------------