%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW470+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 : Sun Sep 27 09:11:55 AM UTC 2026
% Result : Theorem 61.08s 8.77s
% Output : CNFRefutation 61.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 14 unt; 0 def)
% Number of atoms : 23 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 10 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 40 ( 40 usr; 19 con; 0-4 aty)
% Number of variables : 19 ( 3 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gsy_c_fFalse,hypothesis,
'is$ubool'(fFalse) ).
fof(fact_5_escape,axiom,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( hBOOL('hAPP$ustate$ubool'('hAPP$ua2036067514e$ubool'(X3,X4),X5))
=> hBOOL('hAPP$uf1695230391l$ubool'('hoare$u2102800559rivs$ua'(X0),'hAPP$uf20753329a$ubool'('hAPP$uH1743777351a$ubool'('insert956547291iple$ua','hoare$u1916936827iple$ua'('hAPP$uf762886889e$ubool'('cOMBK$u1458035955bool$ua','hAPP$us1806633685e$ubool'('hAPP$uf817621513e$ubool'('cOMBC$u2027030106e$ubool','fequal$ustate'),X5)),X1,'hAPP$uf762886889e$ubool'('cOMBK$u1458035955bool$ua','hAPP$ua2036067514e$ubool'(X2,X4)))),'bot$ubo797238721a$ubool'))) )
=> hBOOL('hAPP$uf1695230391l$ubool'('hoare$u2102800559rivs$ua'(X0),'hAPP$uf20753329a$ubool'('hAPP$uH1743777351a$ubool'('insert956547291iple$ua','hoare$u1916936827iple$ua'(X3,X1,X2)),'bot$ubo797238721a$ubool'))) ) ).
fof(help_fFalse_1_1_U,axiom,
~ hBOOL(fFalse) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
! [X0,X1] :
( 'is$ubool'(X0)
=> 'hAPP$ustate$ubool'('hAPP$ub2019457360e$ubool'('cOMBK$ubool$ustate',X0),X1) = X0 ) ).
fof(help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U,axiom,
! [X0,X1] : 'hAPP$ua2036067514e$ubool'('hAPP$uf762886889e$ubool'('cOMBK$u1458035955bool$ua',X0),X1) = X0 ).
fof(conj_0,conjecture,
hBOOL('hAPP$uf1695230391l$ubool'('hoare$u2102800559rivs$ua'(g),'hAPP$uf20753329a$ubool'('hAPP$uH1743777351a$ubool'('insert956547291iple$ua','hoare$u1916936827iple$ua'('hAPP$uf762886889e$ubool'('cOMBK$u1458035955bool$ua','hAPP$ub2019457360e$ubool'('cOMBK$ubool$ustate',fFalse)),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('hAPP$uf375255701e$ubool'('cOMBB$u145932198bool$ua','cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('hAPP$uf1178339559l$ubool'('cOMBB$u1355796797bool$ua','hAPP$uf1561913689l$ubool'('cOMBB$u188601460$ustate',fconj)),p))),'hAPP$uf1759915619e$ubool'('hAPP$uf2073279419e$ubool'('cOMBB$u160679318$ustate',fNot),b)))),'bot$ubo797238721a$ubool'))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL('hAPP$uf1695230391l$ubool'('hoare$u2102800559rivs$ua'(g),'hAPP$uf20753329a$ubool'('hAPP$uH1743777351a$ubool'('insert956547291iple$ua','hoare$u1916936827iple$ua'('hAPP$uf762886889e$ubool'('cOMBK$u1458035955bool$ua','hAPP$ub2019457360e$ubool'('cOMBK$ubool$ustate',fFalse)),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('hAPP$uf375255701e$ubool'('cOMBB$u145932198bool$ua','cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('hAPP$uf1178339559l$ubool'('cOMBB$u1355796797bool$ua','hAPP$uf1561913689l$ubool'('cOMBB$u188601460$ustate',fconj)),p))),'hAPP$uf1759915619e$ubool'('hAPP$uf2073279419e$ubool'('cOMBB$u160679318$ustate',fNot),b)))),'bot$ubo797238721a$ubool'))),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c0,plain,
'is$ubool'(fFalse),
inference(clausification,[status(esa)],[gsy_c_fFalse]) ).
cnf(c10,plain,
( hBOOL('hAPP$uf1695230391l$ubool'('hoare$u2102800559rivs$ua'(X1),'hAPP$uf20753329a$ubool'('hAPP$uH1743777351a$ubool'('insert956547291iple$ua','hoare$u1916936827iple$ua'(X0,X2,X3)),'bot$ubo797238721a$ubool')))
| hBOOL('hAPP$ustate$ubool'('hAPP$ua2036067514e$ubool'(X0,sK22(X1,X2,X3,X0)),sK23(X1,X2,X3,X0))) ),
inference(clausification,[status(esa)],[fact_5_escape]) ).
cnf(c88,plain,
~ hBOOL(fFalse),
inference(clausification,[status(esa)],[help_fFalse_1_1_U]) ).
cnf(c89,plain,
( 'hAPP$ustate$ubool'('hAPP$ub2019457360e$ubool'('cOMBK$ubool$ustate',X0),X1) = X0
| ~ 'is$ubool'(X0) ),
inference(clausification,[status(esa)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U]) ).
cnf(c90,plain,
'hAPP$ua2036067514e$ubool'('hAPP$uf762886889e$ubool'('cOMBK$u1458035955bool$ua',X0),X1) = X0,
inference(clausification,[status(esa)],[help_COMBK_1_1_COMBK_000tc__fun_Itc__Com__Ostate_Mtc__HOL__Obool_J_000t__a_U]) ).
cnf(c97,plain,
~ hBOOL('hAPP$uf1695230391l$ubool'('hoare$u2102800559rivs$ua'(g),'hAPP$uf20753329a$ubool'('hAPP$uH1743777351a$ubool'('insert956547291iple$ua','hoare$u1916936827iple$ua'('hAPP$uf762886889e$ubool'('cOMBK$u1458035955bool$ua','hAPP$ub2019457360e$ubool'('cOMBK$ubool$ustate',fFalse)),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('hAPP$uf375255701e$ubool'('cOMBB$u145932198bool$ua','cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('hAPP$uf1178339559l$ubool'('cOMBB$u1355796797bool$ua','hAPP$uf1561913689l$ubool'('cOMBB$u188601460$ustate',fconj)),p))),'hAPP$uf1759915619e$ubool'('hAPP$uf2073279419e$ubool'('cOMBB$u160679318$ustate',fNot),b)))),'bot$ubo797238721a$ubool'))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
'hAPP$ustate$ubool'('hAPP$ub2019457360e$ubool'('cOMBK$ubool$ustate',fFalse),X0) = fFalse,
inference(resolution,[status(thm)],[c89,c0]) ).
cnf(d1,plain,
hBOOL('hAPP$ustate$ubool'('hAPP$ua2036067514e$ubool'('hAPP$uf762886889e$ubool'('cOMBK$u1458035955bool$ua','hAPP$ub2019457360e$ubool'('cOMBK$ubool$ustate',fFalse)),sK22(g,c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('hAPP$uf375255701e$ubool'('cOMBB$u145932198bool$ua','cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('hAPP$uf1178339559l$ubool'('cOMBB$u1355796797bool$ua','hAPP$uf1561913689l$ubool'('cOMBB$u188601460$ustate',fconj)),p))),'hAPP$uf1759915619e$ubool'('hAPP$uf2073279419e$ubool'('cOMBB$u160679318$ustate',fNot),b)),'hAPP$uf762886889e$ubool'('cOMBK$u1458035955bool$ua','hAPP$ub2019457360e$ubool'('cOMBK$ubool$ustate',fFalse)))),sK23(g,c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('hAPP$uf375255701e$ubool'('cOMBB$u145932198bool$ua','cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('hAPP$uf1178339559l$ubool'('cOMBB$u1355796797bool$ua','hAPP$uf1561913689l$ubool'('cOMBB$u188601460$ustate',fconj)),p))),'hAPP$uf1759915619e$ubool'('hAPP$uf2073279419e$ubool'('cOMBB$u160679318$ustate',fNot),b)),'hAPP$uf762886889e$ubool'('cOMBK$u1458035955bool$ua','hAPP$ub2019457360e$ubool'('cOMBK$ubool$ustate',fFalse))))),
inference(resolution,[status(thm)],[c97,c10]) ).
cnf(d2,plain,
hBOOL('hAPP$ustate$ubool'('hAPP$ub2019457360e$ubool'('cOMBK$ubool$ustate',fFalse),sK23(g,c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('hAPP$uf375255701e$ubool'('cOMBB$u145932198bool$ua','cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('hAPP$uf1178339559l$ubool'('cOMBB$u1355796797bool$ua','hAPP$uf1561913689l$ubool'('cOMBB$u188601460$ustate',fconj)),p))),'hAPP$uf1759915619e$ubool'('hAPP$uf2073279419e$ubool'('cOMBB$u160679318$ustate',fNot),b)),'hAPP$uf762886889e$ubool'('cOMBK$u1458035955bool$ua','hAPP$ub2019457360e$ubool'('cOMBK$ubool$ustate',fFalse))))),
inference(demodulation,[status(thm)],[d1,c90]) ).
cnf(d3,plain,
hBOOL(fFalse),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[c88,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW470+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n013.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 15:57:37 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 61.08/8.77 % SZS status Theorem for theBenchmark.p
% 61.08/8.77 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------