%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC412+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 02:41:08 PM UTC 2026
% Result : Theorem 0.28s 0.63s
% Output : CNFRefutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 66 ( 10 unt; 10 def)
% Number of atoms : 336 ( 79 equ)
% Maximal formula atoms : 28 ( 5 avg)
% Number of connectives : 420 ( 150 ~; 145 |; 93 &)
% ( 10 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 10 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 11 con; 0-2 aty)
% Number of variables : 168 ( 118 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ( ( ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( app(app(cons(X12,nil),X13),cons(X11,nil)) = U
| app(app(cons(X11,nil),X13),cons(X12,nil)) != V
| ~ ssList(X13) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != V ) ) )
| ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(cons(X5,nil),X7),cons(X6,nil)) = X
& app(app(cons(X6,nil),X7),cons(X5,nil)) != W
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) ) )
& ( ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> app(app(cons(X2,nil),cons(X3,nil)),X4) != V ) ) )
| ? [Y] :
( ? [Z] :
( ? [X1] :
( app(app(cons(Y,nil),cons(Z,nil)),X1) = X
& ssList(X1) )
& ssItem(Z) )
& ssItem(Y) ) ) )
| U != W
| V != X
| ~ ssList(X) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ( ( ! [X11] :
( ssItem(X11)
=> ! [X12] :
( ssItem(X12)
=> ! [X13] :
( app(app(cons(X12,nil),X13),cons(X11,nil)) = U
| app(app(cons(X11,nil),X13),cons(X12,nil)) != V
| ~ ssList(X13) ) ) )
| ! [X8] :
( ssItem(X8)
=> ! [X9] :
( ssItem(X9)
=> ! [X10] :
( ssList(X10)
=> app(app(cons(X8,nil),cons(X9,nil)),X10) != V ) ) )
| ? [X5] :
( ? [X6] :
( ? [X7] :
( app(app(cons(X5,nil),X7),cons(X6,nil)) = X
& app(app(cons(X6,nil),X7),cons(X5,nil)) != W
& ssList(X7) )
& ssItem(X6) )
& ssItem(X5) ) )
& ( ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ! [X4] :
( ssList(X4)
=> app(app(cons(X2,nil),cons(X3,nil)),X4) != V ) ) )
| ? [Y] :
( ? [Z] :
( ? [X1] :
( app(app(cons(Y,nil),cons(Z,nil)),X1) = X
& ssList(X1) )
& ssItem(Z) )
& ssItem(Y) ) ) )
| U != W
| V != X
| ~ ssList(X) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f223,plain,
ssList(nil),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f330,plain,
cyclefreeP(nil),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f415,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ( ? [X11] :
( ? [X12] :
( ? [X13] :
( app(app(cons(X12,nil),X13),cons(X11,nil)) != U
& app(app(cons(X11,nil),X13),cons(X12,nil)) = V
& ssList(X13) )
& ssItem(X12) )
& ssItem(X11) )
& ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(cons(X8,nil),cons(X9,nil)),X10) = V
& ssList(X10) )
& ssItem(X9) )
& ssItem(X8) )
& ! [X5] :
( ! [X6] :
( ! [X7] :
( app(app(cons(X5,nil),X7),cons(X6,nil)) != X
| app(app(cons(X6,nil),X7),cons(X5,nil)) = W
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) ) )
| ( ? [X2] :
( ? [X3] :
( ? [X4] :
( app(app(cons(X2,nil),cons(X3,nil)),X4) = V
& ssList(X4) )
& ssItem(X3) )
& ssItem(X2) )
& ! [Y] :
( ! [Z] :
( ! [X1] :
( app(app(cons(Y,nil),cons(Z,nil)),X1) != X
| ~ ssList(X1) )
| ~ ssItem(Z) )
| ~ ssItem(Y) ) ) )
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f416,definition,
! [V,X] :
( sP0_prd(X,V)
<=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( app(app(cons(X2,nil),cons(X3,nil)),X4) = V
& ssList(X4) )
& ssItem(X3) )
& ssItem(X2) )
& ! [Y] :
( ! [Z] :
( ! [X1] :
( app(app(cons(Y,nil),cons(Z,nil)),X1) != X
| ~ ssList(X1) )
| ~ ssItem(Z) )
| ~ ssItem(Y) ) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f417,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ( ? [X11] :
( ? [X12] :
( ? [X13] :
( app(app(cons(X12,nil),X13),cons(X11,nil)) != U
& app(app(cons(X11,nil),X13),cons(X12,nil)) = V
& ssList(X13) )
& ssItem(X12) )
& ssItem(X11) )
& ? [X8] :
( ? [X9] :
( ? [X10] :
( app(app(cons(X8,nil),cons(X9,nil)),X10) = V
& ssList(X10) )
& ssItem(X9) )
& ssItem(X8) )
& ! [X5] :
( ! [X6] :
( ! [X7] :
( app(app(cons(X5,nil),X7),cons(X6,nil)) != X
| app(app(cons(X6,nil),X7),cons(X5,nil)) = W
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) ) )
| sP0_prd(X,V) )
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(formula_renaming,[status(thm)],[f415,f416]) ).
fof(f418,plain,
( ( ( app(app(cons(sK55_skl,nil),sK56_skl),cons(sK54_skl,nil)) != sK47_skl
& app(app(cons(sK54_skl,nil),sK56_skl),cons(sK55_skl,nil)) = sK48_skl
& ssList(sK56_skl)
& ssItem(sK55_skl)
& ssItem(sK54_skl)
& app(app(cons(sK51_skl,nil),cons(sK52_skl,nil)),sK53_skl) = sK48_skl
& ssList(sK53_skl)
& ssItem(sK52_skl)
& ssItem(sK51_skl)
& ! [X5] :
( ! [X6] :
( ! [X7] :
( app(app(cons(X5,nil),X7),cons(X6,nil)) != sK50_skl
| app(app(cons(X6,nil),X7),cons(X5,nil)) = sK49_skl
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) ) )
| sP0_prd(sK50_skl,sK48_skl) )
& sK47_skl = sK49_skl
& sK48_skl = sK50_skl
& ssList(sK50_skl)
& ssList(sK49_skl)
& ssList(sK48_skl)
& ssList(sK47_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl,sK53_skl,sK54_skl,sK55_skl,sK56_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(X8,sK51_skl),skolemize(X9,sK52_skl),skolemize(X10,sK53_skl),skolemize(X11,sK54_skl),skolemize(X12,sK55_skl),skolemize(X13,sK56_skl)],[f417]) ).
fof(f423,plain,
sK48_skl = sK50_skl,
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f424,plain,
sK47_skl = sK49_skl,
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f425,plain,
! [X0,X1,X2] :
( app(app(cons(X0,nil),X2),cons(X1,nil)) != sK50_skl
| app(app(cons(X1,nil),X2),cons(X0,nil)) = sK49_skl
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| sP0_prd(sK50_skl,sK48_skl) ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f430,plain,
( ssItem(sK54_skl)
| sP0_prd(sK50_skl,sK48_skl) ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f431,plain,
( ssItem(sK55_skl)
| sP0_prd(sK50_skl,sK48_skl) ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f432,plain,
( ssList(sK56_skl)
| sP0_prd(sK50_skl,sK48_skl) ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f433,plain,
( app(app(cons(sK54_skl,nil),sK56_skl),cons(sK55_skl,nil)) = sK48_skl
| sP0_prd(sK50_skl,sK48_skl) ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f434,plain,
( app(app(cons(sK55_skl,nil),sK56_skl),cons(sK54_skl,nil)) != sK47_skl
| sP0_prd(sK50_skl,sK48_skl) ),
inference(cnf_transformation,[status(thm)],[f418]) ).
fof(f435,plain,
! [V,X] :
( ( ! [X2] :
( ! [X3] :
( ! [X4] :
( app(app(cons(X2,nil),cons(X3,nil)),X4) != V
| ~ ssList(X4) )
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ? [Y] :
( ? [Z] :
( ? [X1] :
( app(app(cons(Y,nil),cons(Z,nil)),X1) = X
& ssList(X1) )
& ssItem(Z) )
& ssItem(Y) )
| sP0_prd(X,V) )
& ( ( ? [X2] :
( ? [X3] :
( ? [X4] :
( app(app(cons(X2,nil),cons(X3,nil)),X4) = V
& ssList(X4) )
& ssItem(X3) )
& ssItem(X2) )
& ! [Y] :
( ! [Z] :
( ! [X1] :
( app(app(cons(Y,nil),cons(Z,nil)),X1) != X
| ~ ssList(X1) )
| ~ ssItem(Z) )
| ~ ssItem(Y) ) )
| ~ sP0_prd(X,V) ) ),
inference(NNF_transformation,[status(thm)],[f416]) ).
fof(f436,plain,
( ! [V,X] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( app(app(cons(X2,nil),cons(X3,nil)),X4) != V
| ~ ssList(X4) )
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ? [Y] :
( ? [Z] :
( ? [X1] :
( app(app(cons(Y,nil),cons(Z,nil)),X1) = X
& ssList(X1) )
& ssItem(Z) )
& ssItem(Y) )
| sP0_prd(X,V) )
& ! [V,X] :
( ( ? [X2] :
( ? [X3] :
( ? [X4] :
( app(app(cons(X2,nil),cons(X3,nil)),X4) = V
& ssList(X4) )
& ssItem(X3) )
& ssItem(X2) )
& ! [Y] :
( ! [Z] :
( ! [X1] :
( app(app(cons(Y,nil),cons(Z,nil)),X1) != X
| ~ ssList(X1) )
| ~ ssItem(Z) )
| ~ ssItem(Y) ) )
| ~ sP0_prd(X,V) ) ),
inference(miniscoping,[status(thm)],[f435]) ).
fof(f437,plain,
( ! [V,X] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( app(app(cons(X2,nil),cons(X3,nil)),X4) != V
| ~ ssList(X4) )
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ( app(app(cons(sK60_skl(X,V),nil),cons(sK61_skl(X,V),nil)),sK62_skl(X,V)) = X
& ssList(sK62_skl(X,V))
& ssItem(sK61_skl(X,V))
& ssItem(sK60_skl(X,V)) )
| sP0_prd(X,V) )
& ! [V,X] :
( ( app(app(cons(sK57_skl(X,V),nil),cons(sK58_skl(X,V),nil)),sK59_skl(X,V)) = V
& ssList(sK59_skl(X,V))
& ssItem(sK58_skl(X,V))
& ssItem(sK57_skl(X,V))
& ! [Y] :
( ! [Z] :
( ! [X1] :
( app(app(cons(Y,nil),cons(Z,nil)),X1) != X
| ~ ssList(X1) )
| ~ ssItem(Z) )
| ~ ssItem(Y) ) )
| ~ sP0_prd(X,V) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK57_skl,sK58_skl,sK59_skl,sK60_skl,sK61_skl,sK62_skl]),skolemize(X2,sK57_skl(X,V)),skolemize(X3,sK58_skl(X,V)),skolemize(X4,sK59_skl(X,V)),skolemize(Y,sK60_skl(X,V)),skolemize(Z,sK61_skl(X,V)),skolemize(X1,sK62_skl(X,V))],[f436]) ).
fof(f438,plain,
! [X0,X1,X2,X3,X4] :
( app(app(cons(X2,nil),cons(X3,nil)),X4) != X0
| ~ ssList(X4)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f439,plain,
! [X0,X1] :
( ssItem(sK57_skl(X0,X1))
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f440,plain,
! [X0,X1] :
( ssItem(sK58_skl(X0,X1))
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f441,plain,
! [X0,X1] :
( ssList(sK59_skl(X0,X1))
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f442,plain,
! [X0,X1] :
( app(app(cons(sK57_skl(X0,X1),nil),cons(sK58_skl(X0,X1),nil)),sK59_skl(X0,X1)) = X1
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f437]) ).
fof(f447,definition,
( sQ0_spl
<=> sP0_prd(sK50_skl,sK48_skl) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( ~ sQ0_spl
| sP0_prd(sK50_skl,sK48_skl) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
! [X0,X1,X2] :
( sQ1_spl
<=> ( app(app(cons(X0,nil),X2),cons(X1,nil)) != sK50_skl
| app(app(cons(X1,nil),X2),cons(X0,nil)) = sK49_skl
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f451,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| app(app(cons(X0,nil),X2),cons(X1,nil)) != sK50_skl
| app(app(cons(X1,nil),X2),cons(X0,nil)) = sK49_skl
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f425,f447,f450]) ).
fof(f470,definition,
( sQ6_spl
<=> ssItem(sK54_skl) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( sQ6_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f430,f447,f470]) ).
fof(f474,definition,
( sQ7_spl
<=> ssItem(sK55_skl) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( sQ7_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f431,f447,f474]) ).
fof(f478,definition,
( sQ8_spl
<=> ssList(sK56_skl) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f481,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f432,f447,f478]) ).
fof(f482,definition,
( sQ9_spl
<=> app(app(cons(sK54_skl,nil),sK56_skl),cons(sK55_skl,nil)) = sK48_skl ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( ~ sQ9_spl
| app(app(cons(sK54_skl,nil),sK56_skl),cons(sK55_skl,nil)) = sK48_skl ),
inference(component_clause,[status(thm)],[f482]) ).
fof(f485,plain,
( sQ9_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f433,f447,f482]) ).
fof(f486,definition,
( sQ10_spl
<=> app(app(cons(sK55_skl,nil),sK56_skl),cons(sK54_skl,nil)) = sK47_skl ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( ~ sQ10_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f434,f447,f486]) ).
fof(f505,plain,
( ~ sQ0_spl
| sP0_prd(sK48_skl,sK48_skl) ),
inference(forward_demodulation,[status(thm)],[f423,f448]) ).
fof(f594,plain,
! [X0,X1,X2] :
( ~ ssList(sK59_skl(X0,X1))
| ~ ssItem(sK58_skl(X0,X1))
| ~ ssItem(sK57_skl(X0,X1))
| ~ sP0_prd(X1,X2)
| ~ sP0_prd(X0,X1) ),
inference(resolution,[status(thm)],[f442,f438]) ).
fof(f600,plain,
! [X0,X1,X2] :
( ~ ssList(sK59_skl(X0,X1))
| ~ ssItem(sK58_skl(X0,X1))
| ~ sP0_prd(X1,X2)
| ~ sP0_prd(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f594,f439]) ).
fof(f708,plain,
! [X0,X1,X2] :
( ~ ssList(sK59_skl(X0,X1))
| ~ sP0_prd(X1,X2)
| ~ sP0_prd(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f600,f440]) ).
fof(f709,plain,
! [X0,X1,X2] :
( ~ sP0_prd(X0,X1)
| ~ sP0_prd(X1,X2)
| ~ sP0_prd(X0,X1) ),
inference(resolution,[status(thm)],[f708,f441]) ).
fof(f710,plain,
! [X0,X1,X2] :
( ~ sP0_prd(X1,X2)
| ~ sP0_prd(X0,X1) ),
inference(duplicate_literals_removal,[status(thm)],[f709]) ).
fof(f795,plain,
! [X0] :
( ~ sQ0_spl
| ~ sP0_prd(X0,sK48_skl) ),
inference(resolution,[status(thm)],[f710,f505]) ).
fof(f818,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f505,f795]) ).
fof(f819,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f818]) ).
fof(f820,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| app(app(cons(X0,nil),X2),cons(X1,nil)) != sK50_skl
| app(app(cons(X1,nil),X2),cons(X0,nil)) = sK47_skl
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f424,f451]) ).
fof(f821,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| app(app(cons(X0,nil),X2),cons(X1,nil)) != sK48_skl
| app(app(cons(X1,nil),X2),cons(X0,nil)) = sK47_skl
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(forward_demodulation,[status(thm)],[f423,f820]) ).
fof(f862,definition,
! [X1] :
( sQ40_spl
<=> ( ~ ssList(X1)
| nil != X1
| ~ ssList(X1) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f863,plain,
! [X0] :
( ~ sQ40_spl
| ~ ssList(X0)
| nil != X0
| ~ ssList(X0) ),
inference(component_clause,[status(thm)],[f862]) ).
fof(f894,plain,
! [X0] :
( ~ sQ40_spl
| nil != X0
| ~ ssList(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f863]) ).
fof(f938,definition,
( sQ50_spl
<=> cyclefreeP(nil) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f940,plain,
( sQ50_spl
| ~ cyclefreeP(nil) ),
inference(component_clause,[status(thm)],[f938]) ).
fof(f945,plain,
( sQ50_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f940,f330]) ).
fof(f946,plain,
sQ50_spl,
inference(contradiction_clause,[status(thm)],[f945]) ).
fof(f1023,plain,
( ~ sQ40_spl
| nil != nil ),
inference(resolution,[status(thm)],[f894,f223]) ).
fof(f1026,plain,
( ~ sQ40_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1023]) ).
fof(f1027,plain,
~ sQ40_spl,
inference(contradiction_clause,[status(thm)],[f1026]) ).
fof(f1179,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| app(app(cons(sK55_skl,nil),sK56_skl),cons(sK54_skl,nil)) = sK47_skl
| ~ ssList(sK56_skl)
| ~ ssItem(sK55_skl)
| ~ ssItem(sK54_skl) ),
inference(resolution,[status(thm)],[f483,f821]) ).
fof(f1198,plain,
( ~ sQ1_spl
| ~ sQ9_spl
| sQ10_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f1179,f470,f474,f478,f486,f482,f450]) ).
fof(f1271,plain,
$false,
inference(sat_refutation,[status(thm)],[f453,f473,f477,f481,f485,f489,f819,f946,f1027,f1198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC412+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n001.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Mon Sep 21 08:28:14 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.45 % Drodi V4.1.1
% 0.28/0.63 % Refutation found
% 0.28/0.63 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.28/0.63 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.28/0.65 % Elapsed time: 0.207038 seconds
% 0.28/0.65 % CPU time: 1.268906 seconds
% 0.28/0.65 % Total memory used: 123.518 MB
% 0.28/0.65 % Net memory used: 122.312 MB
%------------------------------------------------------------------------------