%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : GRP682+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 12:35:07 PM UTC 2026
% Result : Theorem 1.61s 0.72s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 8
% Syntax : Number of formulae : 94 ( 87 unt; 0 def)
% Number of atoms : 101 ( 100 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 20 ( 13 ~; 5 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 195 ( 186 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : ld(A,mult(A,A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] : rd(mult(A,A),A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [B,A] : mult(A,ld(A,B)) = ld(A,mult(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [B,A] : mult(rd(A,B),B) = rd(mult(A,B),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [D,C,B,A] : ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [D,C,B,A] : rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [B,A] : ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,conjecture,
! [X0,X1,X2] :
( ld(rd(X0,X1),mult(rd(X0,X1),X2)) = ld(X0,mult(X0,X2))
& ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ ! [X0,X1,X2] :
( ld(rd(X0,X1),mult(rd(X0,X1),X2)) = ld(X0,mult(X0,X2))
& ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
! [X0] : ld(X0,mult(X0,X0)) = X0,
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0] : rd(mult(X0,X0),X0) = X0,
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = ld(X0,mult(X0,X1)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(mult(X0,X1),X1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2,X3] : ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3))) = mult(ld(X0,mult(X0,X2)),X3),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3)) = mult(X0,rd(mult(X1,X3),X3)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
! [X0,X1] : ld(X0,mult(X0,ld(X1,X1))) = rd(mult(rd(X0,X0),X1),X1),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
? [X0,X1,X2] :
( ld(rd(X0,X1),mult(rd(X0,X1),X2)) != ld(X0,mult(X0,X2))
| ld(ld(X0,X1),mult(ld(X0,X1),X2)) != ld(X0,mult(X0,X2)) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f18,plain,
( ? [X0,X1,X2] : ld(rd(X0,X1),mult(rd(X0,X1),X2)) != ld(X0,mult(X0,X2))
| ? [X0,X1,X2] : ld(ld(X0,X1),mult(ld(X0,X1),X2)) != ld(X0,mult(X0,X2)) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f19,plain,
( ld(rd(sK3_skl,sK4_skl),mult(rd(sK3_skl,sK4_skl),sK5_skl)) != ld(sK3_skl,mult(sK3_skl,sK5_skl))
| ld(ld(sK0_skl,sK1_skl),mult(ld(sK0_skl,sK1_skl),sK2_skl)) != ld(sK0_skl,mult(sK0_skl,sK2_skl)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl,sK3_skl,sK4_skl,sK5_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X2,sK2_skl),skolemize(X0,sK3_skl),skolemize(X1,sK4_skl),skolemize(X2,sK5_skl)],[f18]) ).
fof(f20,plain,
( ld(rd(sK3_skl,sK4_skl),mult(rd(sK3_skl,sK4_skl),sK5_skl)) != ld(sK3_skl,mult(sK3_skl,sK5_skl))
| ld(ld(sK0_skl,sK1_skl),mult(ld(sK0_skl,sK1_skl),sK2_skl)) != ld(sK0_skl,mult(sK0_skl,sK2_skl)) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f25,plain,
! [X0] : ld(X0,X0) = rd(mult(rd(ld(X0,X0),ld(X0,X0)),X0),X0),
inference(paramodulation,[status(thm)],[f10,f16]) ).
fof(f27,plain,
! [X0] : ld(X0,ld(X0,mult(X0,X0))) = rd(mult(rd(X0,X0),X0),X0),
inference(paramodulation,[status(thm)],[f12,f16]) ).
fof(f29,plain,
! [X0,X1] : mult(X0,rd(mult(rd(X0,X0),X1),X1)) = ld(X0,mult(X0,mult(X0,ld(X1,X1)))),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f30,plain,
! [X0] : ld(X0,X0) = rd(mult(rd(X0,X0),X0),X0),
inference(forward_demodulation,[status(thm)],[f10,f27]) ).
fof(f31,plain,
! [X0] : ld(X0,X0) = rd(rd(mult(X0,X0),X0),X0),
inference(forward_demodulation,[status(thm)],[f13,f30]) ).
fof(f34,plain,
! [X0] : ld(X0,X0) = rd(mult(rd(ld(X0,X0),rd(X0,X0)),X0),X0),
inference(backward_demodulation,[status(thm)],[f35,f25]) ).
fof(f35,plain,
! [X0] : ld(X0,X0) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f11,f31]) ).
fof(f36,plain,
! [X0,X1] : mult(X0,rd(mult(rd(X0,X0),X1),X1)) = ld(X0,mult(X0,mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[status(thm)],[f35,f29]) ).
fof(f40,plain,
! [X0] : rd(X0,X0) = rd(mult(rd(ld(X0,X0),rd(X0,X0)),X0),X0),
inference(forward_demodulation,[status(thm)],[f35,f34]) ).
fof(f41,plain,
! [X0] : rd(X0,X0) = rd(mult(rd(rd(X0,X0),rd(X0,X0)),X0),X0),
inference(forward_demodulation,[status(thm)],[f35,f40]) ).
fof(f42,plain,
! [X0] : mult(X0,rd(X0,X0)) = ld(X0,mult(X0,X0)),
inference(paramodulation,[status(thm)],[f35,f12]) ).
fof(f43,plain,
! [X0] : mult(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f10,f42]) ).
fof(f52,plain,
! [X0] : mult(rd(X0,X0),X0) = rd(mult(mult(rd(rd(X0,X0),rd(X0,X0)),X0),X0),X0),
inference(paramodulation,[status(thm)],[f41,f13]) ).
fof(f53,plain,
! [X0] : rd(mult(X0,X0),X0) = rd(mult(mult(rd(rd(X0,X0),rd(X0,X0)),X0),X0),X0),
inference(forward_demodulation,[status(thm)],[f13,f52]) ).
fof(f54,plain,
! [X0] : X0 = rd(mult(mult(rd(rd(X0,X0),rd(X0,X0)),X0),X0),X0),
inference(forward_demodulation,[status(thm)],[f11,f53]) ).
fof(f59,plain,
! [X0,X1,X2] : ld(X0,mult(ld(X0,mult(X0,X0)),mult(X1,X2))) = mult(ld(X0,mult(X0,X1)),X2),
inference(paramodulation,[status(thm)],[f10,f14]) ).
fof(f67,plain,
! [X0,X1,X2] : ld(ld(X0,X1),mult(ld(X0,X1),X2)) = mult(ld(X0,mult(X0,X2)),rd(X2,X2)),
inference(paramodulation,[status(thm)],[f43,f14]) ).
fof(f79,plain,
! [X0,X1,X2] : ld(X0,mult(X0,mult(X1,X2))) = mult(ld(X0,mult(X0,X1)),X2),
inference(forward_demodulation,[status(thm)],[f10,f59]) ).
fof(f96,plain,
! [X0,X1,X2] : ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,mult(X2,rd(X2,X2)))),
inference(forward_demodulation,[status(thm)],[f79,f67]) ).
fof(f97,plain,
( ld(rd(sK3_skl,sK4_skl),mult(rd(sK3_skl,sK4_skl),sK5_skl)) != ld(sK3_skl,mult(sK3_skl,sK5_skl))
| ld(sK0_skl,mult(sK0_skl,sK2_skl)) != ld(sK0_skl,mult(sK0_skl,sK2_skl)) ),
inference(backward_demodulation,[status(thm)],[f99,f20]) ).
fof(f99,plain,
! [X0,X1,X2] : ld(ld(X0,X1),mult(ld(X0,X1),X2)) = ld(X0,mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f43,f96]) ).
fof(f114,plain,
ld(rd(sK3_skl,sK4_skl),mult(rd(sK3_skl,sK4_skl),sK5_skl)) != ld(sK3_skl,mult(sK3_skl,sK5_skl)),
inference(trivial_equality_resolution,[status(thm)],[f97]) ).
fof(f117,plain,
! [X0,X1] : rd(mult(X0,X1),rd(mult(X0,X1),mult(X0,X1))) = mult(X0,rd(mult(X1,mult(X0,X1)),mult(X0,X1))),
inference(paramodulation,[status(thm)],[f43,f15]) ).
fof(f119,plain,
! [X0,X1,X2] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = mult(X0,rd(mult(rd(X0,X0),X2),X2)),
inference(paramodulation,[status(thm)],[f43,f15]) ).
fof(f125,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X1),X2),rd(mult(X2,X2),X2)) = mult(X0,rd(mult(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f11,f15]) ).
fof(f136,plain,
! [X0,X1,X2] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = ld(X0,mult(X0,mult(X0,rd(X2,X2)))),
inference(forward_demodulation,[status(thm)],[f36,f119]) ).
fof(f145,plain,
! [X0,X1] : rd(mult(mult(X0,rd(X0,X0)),X1),X1) = ld(X0,mult(X0,mult(X0,rd(X1,X1)))),
inference(backward_demodulation,[status(thm)],[f150,f36]) ).
fof(f147,plain,
! [X0,X1] : rd(mult(X0,X1),rd(mult(X0,X1),mult(X0,X1))) = rd(mult(mult(X0,X1),mult(X0,X1)),mult(X0,X1)),
inference(backward_demodulation,[status(thm)],[f150,f117]) ).
fof(f150,plain,
! [X0,X1,X2] : rd(mult(mult(X0,X1),X2),X2) = mult(X0,rd(mult(X1,X2),X2)),
inference(forward_demodulation,[status(thm)],[f11,f125]) ).
fof(f174,plain,
! [X0,X1,X2] : rd(mult(X0,rd(X1,X2)),rd(X1,X2)) = rd(mult(X0,X2),X2),
inference(backward_demodulation,[status(thm)],[f175,f136]) ).
fof(f175,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = ld(X0,mult(X0,mult(X0,rd(X1,X1)))),
inference(forward_demodulation,[status(thm)],[f43,f145]) ).
fof(f181,plain,
! [X0,X1] : rd(mult(X0,X1),rd(mult(X0,X1),mult(X0,X1))) = mult(X0,X1),
inference(forward_demodulation,[status(thm)],[f11,f147]) ).
fof(f243,plain,
! [X0,X1,X2] : rd(mult(mult(rd(X0,rd(mult(X1,X2),X2)),X1),X2),X2) = rd(mult(X0,rd(mult(X1,X2),X2)),rd(mult(X1,X2),X2)),
inference(paramodulation,[status(thm)],[f13,f150]) ).
fof(f248,plain,
! [X0,X1] : rd(mult(mult(X0,X1),X1),X1) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f11,f150]) ).
fof(f267,plain,
! [X0,X1,X2] : rd(mult(mult(rd(X0,rd(mult(X1,X2),X2)),X1),X2),X2) = rd(mult(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f174,f243]) ).
fof(f271,plain,
! [X0] : X0 = mult(rd(rd(X0,X0),rd(X0,X0)),X0),
inference(backward_demodulation,[status(thm)],[f248,f54]) ).
fof(f375,plain,
! [X0] : rd(X0,rd(mult(rd(rd(X0,X0),rd(X0,X0)),X0),mult(rd(rd(X0,X0),rd(X0,X0)),X0))) = mult(rd(rd(X0,X0),rd(X0,X0)),X0),
inference(paramodulation,[status(thm)],[f271,f181]) ).
fof(f396,plain,
! [X0] : rd(X0,rd(X0,mult(rd(rd(X0,X0),rd(X0,X0)),X0))) = mult(rd(rd(X0,X0),rd(X0,X0)),X0),
inference(forward_demodulation,[status(thm)],[f271,f375]) ).
fof(f397,plain,
! [X0] : rd(X0,rd(X0,X0)) = mult(rd(rd(X0,X0),rd(X0,X0)),X0),
inference(forward_demodulation,[status(thm)],[f271,f396]) ).
fof(f409,plain,
! [X0] : rd(X0,rd(X0,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f271,f397]) ).
fof(f477,plain,
! [X0,X1] : rd(X0,X1) = rd(mult(rd(X0,X1),X1),X1),
inference(paramodulation,[status(thm)],[f11,f174]) ).
fof(f478,plain,
! [X0,X1] : rd(rd(X0,X1),rd(X0,X1)) = rd(mult(rd(rd(rd(X0,X1),rd(X0,X1)),rd(rd(X0,X1),rd(X0,X1))),X1),X1),
inference(paramodulation,[status(thm)],[f271,f174]) ).
fof(f479,plain,
! [X0,X1,X2] : rd(rd(mult(X0,rd(X1,X2)),rd(X1,X2)),rd(X1,X2)) = rd(mult(rd(X0,rd(X1,X2)),X2),X2),
inference(paramodulation,[status(thm)],[f13,f174]) ).
fof(f498,plain,
! [X0,X1] : rd(X0,X1) = rd(rd(mult(X0,X1),X1),X1),
inference(forward_demodulation,[status(thm)],[f13,f477]) ).
fof(f499,plain,
! [X0,X1,X2] : rd(X0,rd(X1,X2)) = rd(mult(rd(X0,rd(X1,X2)),X2),X2),
inference(forward_demodulation,[status(thm)],[f498,f479]) ).
fof(f553,plain,
! [X0,X1] : ld(X0,mult(X0,mult(X0,X1))) = mult(X0,X1),
inference(paramodulation,[status(thm)],[f10,f79]) ).
fof(f584,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(X0,rd(X1,X1)),
inference(backward_demodulation,[status(thm)],[f553,f175]) ).
fof(f667,plain,
! [X0,X1,X2] : ld(X0,mult(X0,mult(mult(X0,X1),X2))) = mult(mult(X0,X1),X2),
inference(paramodulation,[status(thm)],[f553,f79]) ).
fof(f670,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(ld(X0,mult(X0,mult(X0,X1))),X2)) = ld(X0,mult(X0,X2)),
inference(paramodulation,[status(thm)],[f553,f99]) ).
fof(f690,plain,
! [X0,X1,X2] : ld(mult(X0,X1),ld(X0,mult(X0,mult(mult(X0,X1),X2)))) = ld(X0,mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f79,f670]) ).
fof(f692,plain,
! [X0,X1,X2] : ld(mult(X0,X1),mult(mult(X0,X1),X2)) = ld(X0,mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f667,f690]) ).
fof(f694,plain,
! [X0] : rd(mult(rd(rd(rd(X0,X0),rd(X0,X0)),rd(rd(X0,X0),rd(X0,X0))),X0),X0) = rd(X0,X0),
inference(paramodulation,[status(thm)],[f271,f584]) ).
fof(f695,plain,
! [X0,X1] : rd(mult(rd(X0,rd(X1,X1)),X1),X1) = rd(mult(X0,rd(X1,X1)),rd(X1,X1)),
inference(paramodulation,[status(thm)],[f13,f584]) ).
fof(f729,plain,
! [X0] : rd(rd(X0,X0),rd(X0,X0)) = rd(X0,X0),
inference(forward_demodulation,[status(thm)],[f478,f694]) ).
fof(f730,plain,
! [X0,X1] : rd(X0,rd(X1,X1)) = rd(mult(X0,rd(X1,X1)),rd(X1,X1)),
inference(forward_demodulation,[status(thm)],[f499,f695]) ).
fof(f732,plain,
! [X0,X1] : rd(mult(X0,X1),rd(X1,X1)) = mult(X0,X1),
inference(backward_demodulation,[status(thm)],[f761,f248]) ).
fof(f734,plain,
! [X0,X1,X2] : rd(X0,rd(rd(X1,X2),rd(X1,X2))) = rd(mult(X0,X2),X2),
inference(backward_demodulation,[status(thm)],[f761,f174]) ).
fof(f749,plain,
! [X0,X1,X2] : rd(mult(rd(X0,rd(mult(X1,X2),X2)),X1),rd(X2,X2)) = rd(mult(X0,X2),X2),
inference(backward_demodulation,[status(thm)],[f761,f267]) ).
fof(f761,plain,
! [X0,X1] : rd(X0,rd(X1,X1)) = rd(mult(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f174,f730]) ).
fof(f830,plain,
! [X0,X1,X2] : rd(X0,rd(rd(X1,X2),rd(X1,X2))) = rd(X0,rd(X2,X2)),
inference(forward_demodulation,[status(thm)],[f761,f734]) ).
fof(f841,plain,
! [X0,X1,X2] : rd(mult(rd(X0,rd(X1,rd(X2,X2))),X1),rd(X2,X2)) = rd(mult(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f761,f749]) ).
fof(f842,plain,
! [X0,X1,X2] : rd(mult(rd(X0,rd(X1,rd(X2,X2))),X1),rd(X2,X2)) = rd(X0,rd(X2,X2)),
inference(forward_demodulation,[status(thm)],[f761,f841]) ).
fof(f960,plain,
! [X0,X1] : rd(mult(X0,rd(X1,X1)),rd(X1,X1)) = mult(X0,rd(X1,X1)),
inference(paramodulation,[status(thm)],[f729,f732]) ).
fof(f964,plain,
! [X0,X1] : rd(X0,rd(rd(X1,X1),rd(X1,X1))) = mult(X0,rd(X1,X1)),
inference(forward_demodulation,[status(thm)],[f761,f960]) ).
fof(f965,plain,
! [X0,X1] : rd(X0,rd(X1,X1)) = mult(X0,rd(X1,X1)),
inference(forward_demodulation,[status(thm)],[f830,f964]) ).
fof(f1486,plain,
! [X0,X1,X2] : ld(rd(X0,rd(X1,X1)),mult(mult(X0,rd(X1,X1)),X2)) = ld(X0,mult(X0,X2)),
inference(paramodulation,[status(thm)],[f965,f692]) ).
fof(f1516,plain,
! [X0,X1,X2] : ld(rd(X0,rd(X1,X1)),mult(rd(X0,rd(X1,X1)),X2)) = ld(X0,mult(X0,X2)),
inference(forward_demodulation,[status(thm)],[f965,f1486]) ).
fof(f2291,plain,
! [X0,X1] : mult(rd(X0,rd(X1,rd(X1,X1))),X1) = rd(X0,rd(X1,X1)),
inference(paramodulation,[status(thm)],[f732,f842]) ).
fof(f2335,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = rd(X0,rd(X1,X1)),
inference(forward_demodulation,[status(thm)],[f409,f2291]) ).
fof(f2454,plain,
! [X0,X1,X2] : ld(mult(rd(X0,X1),X1),mult(rd(X0,rd(X1,X1)),X2)) = ld(rd(X0,X1),mult(rd(X0,X1),X2)),
inference(paramodulation,[status(thm)],[f2335,f692]) ).
fof(f2522,plain,
! [X0,X1,X2] : ld(rd(X0,rd(X1,X1)),mult(rd(X0,rd(X1,X1)),X2)) = ld(rd(X0,X1),mult(rd(X0,X1),X2)),
inference(forward_demodulation,[status(thm)],[f2335,f2454]) ).
fof(f2523,plain,
ld(sK3_skl,mult(sK3_skl,sK5_skl)) != ld(sK3_skl,mult(sK3_skl,sK5_skl)),
inference(backward_demodulation,[status(thm)],[f2530,f114]) ).
fof(f2530,plain,
! [X0,X1,X2] : ld(X0,mult(X0,X1)) = ld(rd(X0,X2),mult(rd(X0,X2),X1)),
inference(forward_demodulation,[status(thm)],[f1516,f2522]) ).
fof(f2544,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f2523]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP682+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n002.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 20 20:35:31 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 1.61/0.72 % Refutation found
% 1.61/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.61/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.61/0.75 % Elapsed time: 0.316990 seconds
% 1.61/0.75 % CPU time: 1.912351 seconds
% 1.61/0.75 % Total memory used: 96.360 MB
% 1.61/0.75 % Net memory used: 94.601 MB
%------------------------------------------------------------------------------