%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV102+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 02:46:39 PM UTC 2026
% Result : Theorem 0.18s 0.50s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of formulae : 59 ( 25 unt; 0 def)
% Number of atoms : 367 ( 355 equ)
% Maximal formula atoms : 27 ( 6 avg)
% Number of connectives : 554 ( 246 ~; 242 |; 63 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 11 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X,U,VAL] : a_select2(tptp_update2(X,U,VAL),U) = VAL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [I,U,X,VAL,VAL2] :
( ( a_select2(X,U) = VAL
& I != U )
=> a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use )
=> ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use )
=> ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f233,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f234,plain,
! [I,U,X,VAL,VAL2] :
( a_select2(tptp_update2(X,I,VAL2),U) = VAL
| a_select2(X,U) != VAL
| I = U ),
inference(pre_NNF_transformation,[status(thm)],[f49]) ).
fof(f235,plain,
! [I,U,X,VAL] :
( ! [VAL2] : a_select2(tptp_update2(X,I,VAL2),U) = VAL
| a_select2(X,U) != VAL
| I = U ),
inference(miniscoping,[status(thm)],[f234]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f244,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use )
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f245,plain,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f247,plain,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f248,plain,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f249,plain,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f250,plain,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f251,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f252,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f253,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f254,plain,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f255,plain,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f256,plain,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f257,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f267,plain,
gt(n1,n0),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f268,plain,
gt(n2,n0),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f272,plain,
gt(n2,n1),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f333,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X0,X3),X1) = a_select2(X2,X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f236]) ).
fof(f344,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f245,f257]) ).
fof(f345,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f246,f344]) ).
fof(f346,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f247,f345]) ).
fof(f347,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f248,f346]) ).
fof(f348,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f249,f347]) ).
fof(f349,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f250,f348]) ).
fof(f350,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f251,f349]) ).
fof(f351,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f252,f350]) ).
fof(f352,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f253,f351]) ).
fof(f353,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f254,f352]) ).
fof(f354,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| a_select2(xinit_defuse,n5) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f255,f353]) ).
fof(f355,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f256,f354]) ).
fof(f356,plain,
( use != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f233,f355]) ).
fof(f357,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use
| use != use ),
inference(duplicate_literals_removal,[status(thm)],[f356]) ).
fof(f358,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use ),
inference(trivial_equality_resolution,[status(thm)],[f357]) ).
fof(f359,plain,
( n2 = n0
| a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ),
inference(paramodulation,[status(thm)],[f333,f358]) ).
fof(f363,plain,
( n2 = n1
| n2 = n0
| a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n1) != use
| a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ),
inference(paramodulation,[status(thm)],[f333,f359]) ).
fof(f364,plain,
( n2 = n1
| n2 = n0
| use != use
| a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ),
inference(forward_demodulation,[status(thm)],[f233,f363]) ).
fof(f365,plain,
( n2 = n1
| n2 = n0
| a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use ),
inference(trivial_equality_resolution,[status(thm)],[f364]) ).
fof(f366,plain,
( n1 = n0
| n2 = n1
| n2 = n0
| a_select2(tptp_update2(rho_defuse,n0,use),n0) != use ),
inference(paramodulation,[status(thm)],[f333,f365]) ).
fof(f367,plain,
( n1 = n0
| n2 = n1
| n2 = n0
| use != use ),
inference(forward_demodulation,[status(thm)],[f233,f366]) ).
fof(f368,plain,
( n1 = n0
| n2 = n1
| n2 = n0 ),
inference(trivial_equality_resolution,[status(thm)],[f367]) ).
fof(f374,plain,
( n1 = n0
| n2 = n0
| gt(n2,n2) ),
inference(paramodulation,[status(thm)],[f368,f272]) ).
fof(f387,plain,
( n1 = n0
| n2 = n0 ),
inference(forward_subsumption_resolution,[status(thm)],[f374,f91]) ).
fof(f407,plain,
( n1 = n0
| gt(n2,n2) ),
inference(paramodulation,[status(thm)],[f387,f268]) ).
fof(f415,plain,
n1 = n0,
inference(forward_subsumption_resolution,[status(thm)],[f407,f91]) ).
fof(f439,plain,
gt(n1,n1),
inference(backward_demodulation,[status(thm)],[f415,f267]) ).
fof(f462,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f439,f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV102+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n020.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 08:32:03 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.47 % Drodi V4.1.1
% 0.18/0.50 % Refutation found
% 0.18/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/0.53 % Elapsed time: 0.082476 seconds
% 0.27/0.53 % CPU time: 0.221982 seconds
% 0.27/0.53 % Total memory used: 85.960 MB
% 0.27/0.53 % Net memory used: 85.781 MB
%------------------------------------------------------------------------------