%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV104+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 : n005.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 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 7
% Syntax : Number of formulae : 41 ( 16 unt; 0 def)
% Number of atoms : 133 ( 121 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 149 ( 57 ~; 62 |; 27 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 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(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,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(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
gt(n5,n3),
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(xinit_defuse,n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),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(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 ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f245,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f247,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f251,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f252,plain,
gt(n5,n4),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f271,plain,
gt(n4,n3),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f272,plain,
gt(n5,n3),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f327,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(f333,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f245,f251]) ).
fof(f334,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use
| a_select3(u_defuse,n2,n0) != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f246,f333]) ).
fof(f335,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f247,f334]) ).
fof(f336,plain,
( use != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f233,f335]) ).
fof(f337,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use
| use != use ),
inference(duplicate_literals_removal,[status(thm)],[f336]) ).
fof(f338,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n3) != use ),
inference(trivial_equality_resolution,[status(thm)],[f337]) ).
fof(f339,plain,
( n5 = n3
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3) != use ),
inference(paramodulation,[status(thm)],[f327,f338]) ).
fof(f345,plain,
( n5 = n4
| n5 = n3
| a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n4) != use
| a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3) != use ),
inference(paramodulation,[status(thm)],[f327,f339]) ).
fof(f346,plain,
( n5 = n4
| n5 = n3
| use != use
| a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3) != use ),
inference(forward_demodulation,[status(thm)],[f233,f345]) ).
fof(f347,plain,
( n5 = n4
| n5 = n3
| a_select2(tptp_update2(tptp_update2(xinit_defuse,n3,use),n4,use),n3) != use ),
inference(trivial_equality_resolution,[status(thm)],[f346]) ).
fof(f348,plain,
( n4 = n3
| n5 = n4
| n5 = n3
| a_select2(tptp_update2(xinit_defuse,n3,use),n3) != use ),
inference(paramodulation,[status(thm)],[f327,f347]) ).
fof(f349,plain,
( n4 = n3
| n5 = n4
| n5 = n3
| use != use ),
inference(forward_demodulation,[status(thm)],[f233,f348]) ).
fof(f350,plain,
( n4 = n3
| n5 = n4
| n5 = n3 ),
inference(trivial_equality_resolution,[status(thm)],[f349]) ).
fof(f366,plain,
( n4 = n3
| n5 = n4
| gt(n5,n5) ),
inference(paramodulation,[status(thm)],[f350,f272]) ).
fof(f367,plain,
( n4 = n3
| n5 = n4 ),
inference(forward_subsumption_resolution,[status(thm)],[f366,f91]) ).
fof(f384,plain,
( n4 = n3
| gt(n5,n5) ),
inference(paramodulation,[status(thm)],[f367,f252]) ).
fof(f389,plain,
n4 = n3,
inference(forward_subsumption_resolution,[status(thm)],[f384,f91]) ).
fof(f393,plain,
gt(n4,n4),
inference(backward_demodulation,[status(thm)],[f389,f271]) ).
fof(f401,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f393,f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV104+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.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 : Mon Sep 21 08:30:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.42 % Elapsed time: 0.053139 seconds
% 0.10/0.42 % CPU time: 0.140198 seconds
% 0.10/0.42 % Total memory used: 54.667 MB
% 0.10/0.42 % Net memory used: 54.555 MB
%------------------------------------------------------------------------------