%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV089+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:46:36 PM UTC 2026
% Result : Theorem 0.02s 0.34s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 30
% Syntax : Number of formulae : 130 ( 25 unt; 20 def)
% Number of atoms : 298 ( 132 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 278 ( 110 ~; 130 |; 14 &)
% ( 20 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 24 ( 22 usr; 22 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-4 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X,U,V,VAL] : a_select3(tptp_update3(X,U,V,VAL),U,V) = VAL,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [I,J,U,V,X,VAL,VAL2] :
( ( a_select3(X,U,V) = VAL
& J = V
& I != U )
=> a_select3(tptp_update3(X,I,J,VAL2),U,V) = VAL ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X,U,VAL] : a_select2(tptp_update2(X,U,VAL),U) = VAL,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( true
=> ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( true
=> ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) = use
& a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f222,plain,
! [X0,X1,X2,X3] : a_select3(tptp_update3(X0,X1,X2,X3),X1,X2) = X3,
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f223,plain,
! [I,J,U,V,X,VAL,VAL2] :
( a_select3(tptp_update3(X,I,J,VAL2),U,V) = VAL
| a_select3(X,U,V) != VAL
| J != V
| I = U ),
inference(pre_NNF_transformation,[status(thm)],[f46]) ).
fof(f224,plain,
! [I,J,U,V,X,VAL] :
( ! [VAL2] : a_select3(tptp_update3(X,I,J,VAL2),U,V) = VAL
| a_select3(X,U,V) != VAL
| J != V
| I = U ),
inference(miniscoping,[status(thm)],[f223]) ).
fof(f225,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( a_select3(tptp_update3(X4,X0,X2,X6),X1,X3) = X5
| a_select3(X4,X1,X3) != X5
| X2 != X3
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f224]) ).
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(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) != use )
& true ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f246,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) != use ),
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f247,plain,
gt(n5,n4),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f256,plain,
gt(n1,n0),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f266,plain,
gt(n4,n3),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f267,plain,
gt(n5,n3),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f321,definition,
( sQ0_spl
<=> a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f323,plain,
( sQ0_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n0,n0) != use ),
inference(component_clause,[status(thm)],[f321]) ).
fof(f324,definition,
( sQ1_spl
<=> a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f326,plain,
( sQ1_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n1,n0) != use ),
inference(component_clause,[status(thm)],[f324]) ).
fof(f327,definition,
( sQ2_spl
<=> a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f329,plain,
( sQ2_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,definition,
( sQ3_spl
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) = use ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f332,plain,
( sQ3_spl
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n3) != use ),
inference(component_clause,[status(thm)],[f330]) ).
fof(f333,definition,
( sQ4_spl
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) = use ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f335,plain,
( sQ4_spl
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n4) != use ),
inference(component_clause,[status(thm)],[f333]) ).
fof(f336,definition,
( sQ5_spl
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) = use ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( sQ5_spl
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n3,use),n5) != use ),
inference(component_clause,[status(thm)],[f336]) ).
fof(f339,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f246,f321,f324,f327,f330,f333,f336]) ).
fof(f340,plain,
! [X0,X1,X2,X3,X4] :
( a_select3(tptp_update3(X2,X0,X3,X4),X1,X3) = a_select3(X2,X1,X3)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f225]) ).
fof(f341,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(f352,plain,
( sQ5_spl
| n3 = n5
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5) != use ),
inference(paramodulation,[status(thm)],[f341,f338]) ).
fof(f354,definition,
( sQ6_spl
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5) = use ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f356,plain,
( sQ6_spl
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n5) != use ),
inference(component_clause,[status(thm)],[f354]) ).
fof(f357,definition,
( sQ7_spl
<=> n3 = n5 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( ~ sQ7_spl
| n3 = n5 ),
inference(component_clause,[status(thm)],[f357]) ).
fof(f360,plain,
( sQ5_spl
| sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f352,f354,f357,f336]) ).
fof(f365,plain,
( ~ sQ7_spl
| gt(n5,n5) ),
inference(forward_demodulation,[status(thm)],[f358,f267]) ).
fof(f366,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f91]) ).
fof(f367,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f366]) ).
fof(f378,definition,
( sQ10_spl
<=> n0 = n1 ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( ~ sQ10_spl
| n0 = n1 ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,definition,
( sQ11_spl
<=> n0 = n2 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f382,plain,
( ~ sQ11_spl
| n0 = n2 ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f434,plain,
( sQ6_spl
| n4 = n5
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5) != use ),
inference(paramodulation,[status(thm)],[f341,f356]) ).
fof(f435,definition,
( sQ16_spl
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5) = use ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( sQ16_spl
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n5) != use ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ17_spl
<=> n4 = n5 ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( ~ sQ17_spl
| n4 = n5 ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,plain,
( sQ6_spl
| sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f434,f435,f438,f354]) ).
fof(f446,plain,
( ~ sQ17_spl
| gt(n5,n5) ),
inference(backward_demodulation,[status(thm)],[f439,f247]) ).
fof(f450,plain,
( sQ16_spl
| n3 = n5
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n5) != use ),
inference(paramodulation,[status(thm)],[f341,f437]) ).
fof(f451,definition,
( sQ18_spl
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n5) = use ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ18_spl
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n5) != use ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( sQ16_spl
| sQ7_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f450,f451,f357,f435]) ).
fof(f455,plain,
( sQ18_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f233,f453]) ).
fof(f456,plain,
( sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f455]) ).
fof(f457,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f456]) ).
fof(f458,plain,
( sQ4_spl
| n3 = n4
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n4) != use ),
inference(paramodulation,[status(thm)],[f341,f335]) ).
fof(f459,definition,
( sQ19_spl
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n4) = use ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( sQ19_spl
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_defuse,n5,use),n4,use),n5,use),n3,use),n4,use),n4) != use ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,definition,
( sQ20_spl
<=> n3 = n4 ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ20_spl
| n3 = n4 ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,plain,
( sQ4_spl
| sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f458,f459,f462,f333]) ).
fof(f466,plain,
( sQ19_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f233,f461]) ).
fof(f467,plain,
( sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f466]) ).
fof(f468,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f467]) ).
fof(f469,plain,
( sQ3_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f233,f332]) ).
fof(f470,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f469]) ).
fof(f471,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f470]) ).
fof(f520,plain,
( ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f91]) ).
fof(f521,plain,
~ sQ17_spl,
inference(contradiction_clause,[status(thm)],[f520]) ).
fof(f628,plain,
( sQ2_spl
| n0 = n2
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0) != use ),
inference(paramodulation,[status(thm)],[f340,f329]) ).
fof(f629,definition,
( sQ32_spl
<=> a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f631,plain,
( sQ32_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n2,n0) != use ),
inference(component_clause,[status(thm)],[f629]) ).
fof(f632,plain,
( sQ2_spl
| sQ11_spl
| ~ sQ32_spl ),
inference(split_clause,[status(thm)],[f628,f629,f381,f327]) ).
fof(f669,plain,
( sQ32_spl
| n1 = n2
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0) != use ),
inference(paramodulation,[status(thm)],[f340,f631]) ).
fof(f670,definition,
( sQ33_spl
<=> a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f672,plain,
( sQ33_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0) != use ),
inference(component_clause,[status(thm)],[f670]) ).
fof(f673,definition,
( sQ34_spl
<=> n1 = n2 ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f674,plain,
( ~ sQ34_spl
| n1 = n2 ),
inference(component_clause,[status(thm)],[f673]) ).
fof(f676,plain,
( sQ32_spl
| sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f669,f670,f673,f629]) ).
fof(f677,plain,
( sQ32_spl
| ~ sQ34_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n2,n0,use),n2,n0) != use ),
inference(backward_demodulation,[status(thm)],[f674,f631]) ).
fof(f683,plain,
( sQ32_spl
| ~ sQ34_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f222,f677]) ).
fof(f684,plain,
( sQ32_spl
| ~ sQ34_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f683]) ).
fof(f685,plain,
( sQ32_spl
| ~ sQ34_spl ),
inference(contradiction_clause,[status(thm)],[f684]) ).
fof(f686,plain,
( sQ33_spl
| n0 = n2
| a_select3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n2,n0) != use ),
inference(paramodulation,[status(thm)],[f340,f672]) ).
fof(f687,definition,
( sQ35_spl
<=> a_select3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n2,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f689,plain,
( sQ35_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n2,n0) != use ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( sQ33_spl
| sQ11_spl
| ~ sQ35_spl ),
inference(split_clause,[status(thm)],[f686,f687,f381,f670]) ).
fof(f691,plain,
( sQ35_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f222,f689]) ).
fof(f692,plain,
( sQ35_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f691]) ).
fof(f693,plain,
sQ35_spl,
inference(contradiction_clause,[status(thm)],[f692]) ).
fof(f698,plain,
( sQ1_spl
| n0 = n1
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n1,n0) != use ),
inference(paramodulation,[status(thm)],[f340,f326]) ).
fof(f699,definition,
( sQ36_spl
<=> a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n1,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( sQ36_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n0,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n1,n0) != use ),
inference(component_clause,[status(thm)],[f699]) ).
fof(f702,plain,
( sQ1_spl
| sQ10_spl
| ~ sQ36_spl ),
inference(split_clause,[status(thm)],[f698,f699,f378,f324]) ).
fof(f703,plain,
( sQ36_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f222,f701]) ).
fof(f704,plain,
( sQ36_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f703]) ).
fof(f705,plain,
sQ36_spl,
inference(contradiction_clause,[status(thm)],[f704]) ).
fof(f706,plain,
( sQ0_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f222,f323]) ).
fof(f707,plain,
( sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f706]) ).
fof(f708,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f707]) ).
fof(f736,plain,
( ~ sQ10_spl
| gt(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f379,f256]) ).
fof(f737,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f736,f91]) ).
fof(f738,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f737]) ).
fof(f801,plain,
( ~ sQ20_spl
| gt(n4,n4) ),
inference(backward_demodulation,[status(thm)],[f463,f266]) ).
fof(f804,plain,
( ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f801,f91]) ).
fof(f805,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f804]) ).
fof(f806,plain,
( sQ2_spl
| ~ sQ11_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n2,use),n1,n0,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
inference(forward_demodulation,[status(thm)],[f382,f329]) ).
fof(f807,plain,
( sQ2_spl
| ~ sQ11_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n2,use),n1,n2,use),n2,n0,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
inference(forward_demodulation,[status(thm)],[f382,f806]) ).
fof(f808,plain,
( sQ2_spl
| ~ sQ11_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n2,use),n1,n2,use),n2,n2,use),n0,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
inference(forward_demodulation,[status(thm)],[f382,f807]) ).
fof(f809,plain,
( sQ2_spl
| ~ sQ11_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n2,use),n1,n2,use),n2,n2,use),n2,n0,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
inference(forward_demodulation,[status(thm)],[f382,f808]) ).
fof(f810,plain,
( sQ2_spl
| ~ sQ11_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n2,use),n1,n2,use),n2,n2,use),n2,n2,use),n1,n0,use),n0,n0,use),n2,n0) != use ),
inference(forward_demodulation,[status(thm)],[f382,f809]) ).
fof(f811,plain,
( sQ2_spl
| ~ sQ11_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n2,use),n1,n2,use),n2,n2,use),n2,n2,use),n1,n2,use),n0,n0,use),n2,n0) != use ),
inference(forward_demodulation,[status(thm)],[f382,f810]) ).
fof(f812,plain,
( sQ2_spl
| ~ sQ11_spl
| a_select3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(tptp_update3(u_defuse,n2,n2,use),n1,n2,use),n2,n2,use),n2,n2,use),n1,n2,use),n2,n0,use),n2,n0) != use ),
inference(forward_demodulation,[status(thm)],[f382,f811]) ).
fof(f813,plain,
( sQ2_spl
| ~ sQ11_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f222,f812]) ).
fof(f814,plain,
( sQ2_spl
| ~ sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f813]) ).
fof(f815,plain,
( sQ2_spl
| ~ sQ11_spl ),
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f816,plain,
$false,
inference(sat_refutation,[status(thm)],[f339,f360,f367,f441,f454,f457,f465,f468,f471,f521,f632,f676,f685,f690,f693,f702,f705,f708,f738,f805,f815]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWV089+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.02/0.29 % Computer : n012.cluster.edu
% 0.02/0.29 % Model : x86_64 x86_64
% 0.02/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.02/0.29 % Memory : 8046.5625MB
% 0.02/0.29 % OS : Linux 6.8.0-71-generic
% 0.02/0.29 % CPULimit : 300
% 0.02/0.29 % WCLimit : 300
% 0.02/0.29 % DateTime : Mon Sep 21 08:29:51 UTC 2026
% 0.02/0.29 % CPUTime :
% 0.02/0.31 % Drodi V4.1.1
% 0.02/0.34 % Refutation found
% 0.02/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.36 % Elapsed time: 0.060234 seconds
% 0.09/0.36 % CPU time: 0.195270 seconds
% 0.09/0.36 % Total memory used: 107.416 MB
% 0.09/0.36 % Net memory used: 107.055 MB
%------------------------------------------------------------------------------