%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW470+1 : 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 : n017.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 22.64s 5.78s
% Output : CNFRefutation 22.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 16
% Syntax : Number of formulae : 67 ( 37 unt; 0 def)
% Number of atoms : 101 ( 47 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 17 ~; 26 |; 0 &)
% ( 3 <=>; 5 =>; 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 : 43 ( 43 usr; 16 con; 0-4 aty)
% Number of variables : 80 ( 18 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool,axiom,
'is$ubool'('bot$ubot$ubool') ).
fof(gsy_c_fFalse,hypothesis,
'is$ubool'(fFalse) ).
fof(gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_000tc__HOL__,axiom,
! [X0,X1] : 'is$ubool'('hAPP$uH1927961489a$ubool'(X0,X1)) ).
fof(gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_Mtc,hypothesis,
! [X0,X1] : 'is$ubool'('hAPP$uf1753944735l$ubool'(X0,X1)) ).
fof(fact_5_escape,axiom,
! [X0,X1,X2,X3] :
( ! [X4,X5] :
( hBOOL('hAPP$ustate$ubool'('hAPP$ua2036067514e$ubool'(X3,X4),X5))
=> hBOOL('hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(X0),'hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'('hAPP$us1806633685e$ubool'('hAPP$uf817621513e$ubool'('cOMBC$u2027030106e$ubool','fequal$ustate'),X5)),X1,'cOMBK$u1458035955bool$ua'('hAPP$ua2036067514e$ubool'(X2,X4)))),'bot$ubo1687970473a$ubool'))) )
=> hBOOL('hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(X0),'hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua','hoare$u1050552211iple$ua'(X3,X1,X2)),'bot$ubo1687970473a$ubool'))) ) ).
fof(fact_12_singleton__conv2,axiom,
! [X0] : 'collec1266446174iple$ua'('hAPP$uH562195827a$ubool'('fequal1878252616iple$ua',X0)) = 'hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua',X0),'bot$ubo1687970473a$ubool') ).
fof(fact_17_Collect__empty__eq,axiom,
! [X0] :
( 'collec1266446174iple$ua'(X0) = 'bot$ubo1687970473a$ubool'
<=> ! [X1] : ~ hBOOL('hAPP$uH1927961489a$ubool'(X0,X1)) ) ).
fof(fact_22_empty__def,axiom,
'bot$ubo1687970473a$ubool' = 'collec1266446174iple$ua'('cOMBK$u1150238960iple$ua'(fFalse)) ).
fof(fact_26_insert__code,axiom,
! [X0,X1,X2] :
( hBOOL('hAPP$uH1927961489a$ubool'('hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua',X0),X1),X2))
<=> ( hBOOL('hAPP$uH1927961489a$ubool'(X1,X2))
| X0 = X2 ) ) ).
fof(fact_41_bot__apply,axiom,
! [X0] :
( hBOOL('hAPP$uH1927961489a$ubool'('bot$ubo1687970473a$ubool',X0))
<=> hBOOL('bot$ubot$ubool') ) ).
fof(fact_74_Collect__def,axiom,
! [X0] : 'collec1266446174iple$ua'(X0) = X0 ).
fof(help_fFalse_1_1_T,axiom,
! [X0] :
( 'is$ubool'(X0)
=> ( X0 = fFalse
| X0 = fTrue ) ) ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Com__Ostate_U,axiom,
! [X0,X1] :
( 'is$ubool'(X0)
=> 'hAPP$ustate$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'('cOMBK$u1458035955bool$ua'(X0),X1) = X0 ).
fof(help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__,axiom,
! [X0,X1] :
( 'is$ubool'(X0)
=> 'hAPP$uH1927961489a$ubool'('cOMBK$u1150238960iple$ua'(X0),X1) = X0 ) ).
fof(conj_0,conjecture,
hBOOL('hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(g),'hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'('cOMBK$ubool$ustate'(fFalse)),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('cOMBB$u145932198bool$ua'('cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('cOMBB$u1355796797bool$ua'('cOMBB$u188601460$ustate'(fconj)),p))),'hAPP$uf1759915619e$ubool'('cOMBB$u160679318$ustate'(fNot),b)))),'bot$ubo1687970473a$ubool'))) ).
fof(negated_conjecture,negated_conjecture,
~ hBOOL('hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(g),'hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'('cOMBK$ubool$ustate'(fFalse)),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('cOMBB$u145932198bool$ua'('cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('cOMBB$u1355796797bool$ua'('cOMBB$u188601460$ustate'(fconj)),p))),'hAPP$uf1759915619e$ubool'('cOMBB$u160679318$ustate'(fNot),b)))),'bot$ubo1687970473a$ubool'))),
inference(negate_conjecture,[status(cth)],[conj_0]) ).
cnf(c2,plain,
'is$ubool'('bot$ubot$ubool'),
inference(clausification,[status(esa)],[gsy_c_Orderings_Obot__class_Obot_000tc__HOL__Obool]) ).
cnf(c3,plain,
'is$ubool'(fFalse),
inference(clausification,[status(esa)],[gsy_c_fFalse]) ).
cnf(c7,plain,
'is$ubool'('hAPP$uH1927961489a$ubool'(X0,X1)),
inference(clausification,[status(esa)],[gsy_c_hAPP_000tc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_000tc__HOL__]) ).
cnf(c8,plain,
'is$ubool'('hAPP$uf1753944735l$ubool'(X0,X1)),
inference(clausification,[status(esa)],[gsy_c_hAPP_000tc__fun_Itc__Hoare____Mirabelle____jfehddehev__Otriple_It__a_J_Mtc]) ).
cnf(c18,plain,
( hBOOL('hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(X1),'hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua','hoare$u1050552211iple$ua'(X0,X2,X3)),'bot$ubo1687970473a$ubool')))
| hBOOL('hAPP$ustate$ubool'('hAPP$ua2036067514e$ubool'(X0,sK34(X1,X2,X3,X0)),sK35(X1,X2,X3,X0))) ),
inference(clausification,[status(esa)],[fact_5_escape]) ).
cnf(c31,plain,
'collec1266446174iple$ua'('hAPP$uH562195827a$ubool'('fequal1878252616iple$ua',X0)) = 'hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua',X0),'bot$ubo1687970473a$ubool'),
inference(clausification,[status(esa)],[fact_12_singleton__conv2]) ).
cnf(c38,plain,
( ~ hBOOL('hAPP$uH1927961489a$ubool'(X0,X1))
| 'collec1266446174iple$ua'(X0) != 'bot$ubo1687970473a$ubool' ),
inference(clausification,[status(esa)],[fact_17_Collect__empty__eq]) ).
cnf(c39,plain,
( hBOOL('hAPP$uH1927961489a$ubool'(X0,sK77(X0)))
| 'collec1266446174iple$ua'(X0) = 'bot$ubo1687970473a$ubool' ),
inference(clausification,[status(esa)],[fact_17_Collect__empty__eq]) ).
cnf(c47,plain,
'bot$ubo1687970473a$ubool' = 'collec1266446174iple$ua'('cOMBK$u1150238960iple$ua'(fFalse)),
inference(clausification,[status(esa)],[fact_22_empty__def]) ).
cnf(c53,plain,
( X0 != X2
| hBOOL('hAPP$uH1927961489a$ubool'('hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua',X0),X1),X2)) ),
inference(clausification,[status(esa)],[fact_26_insert__code]) ).
cnf(c80,plain,
( ~ hBOOL('bot$ubot$ubool')
| hBOOL('hAPP$uH1927961489a$ubool'('bot$ubo1687970473a$ubool',X0)) ),
inference(clausification,[status(esa)],[fact_41_bot__apply]) ).
cnf(c131,plain,
'collec1266446174iple$ua'(X0) = X0,
inference(clausification,[status(esa)],[fact_74_Collect__def]) ).
cnf(c191,plain,
( X0 = fFalse
| X0 = fTrue
| ~ 'is$ubool'(X0) ),
inference(clausification,[status(esa)],[help_fFalse_1_1_T]) ).
cnf(c197,plain,
( 'hAPP$ustate$ubool'('cOMBK$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(c198,plain,
'hAPP$ua2036067514e$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(c206,plain,
( 'hAPP$uH1927961489a$ubool'('cOMBK$u1150238960iple$ua'(X0),X1) = X0
| ~ 'is$ubool'(X0) ),
inference(clausification,[status(esa)],[help_COMBK_1_1_COMBK_000tc__HOL__Obool_000tc__Hoare____Mirabelle____jfehddehev__]) ).
cnf(c221,plain,
~ hBOOL('hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(g),'hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'('cOMBK$ubool$ustate'(fFalse)),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('cOMBB$u145932198bool$ua'('cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('cOMBB$u1355796797bool$ua'('cOMBB$u188601460$ustate'(fconj)),p))),'hAPP$uf1759915619e$ubool'('cOMBB$u160679318$ustate'(fNot),b)))),'bot$ubo1687970473a$ubool'))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ hBOOL('hAPP$uH1927961489a$ubool'(X0,X1))
| X0 != 'bot$ubo1687970473a$ubool' ),
inference(demodulation,[status(thm)],[c38,c131]) ).
cnf(d1,plain,
~ hBOOL('hAPP$uH1927961489a$ubool'('bot$ubo1687970473a$ubool',X0)),
inference(equality_resolution,[status(thm)],[d0]) ).
cnf(d2,plain,
~ hBOOL('bot$ubot$ubool'),
inference(resolution,[status(thm)],[d1,c80]) ).
cnf(d3,plain,
'hAPP$ustate$ubool'('cOMBK$ubool$ustate'('bot$ubot$ubool'),X0) = 'bot$ubot$ubool',
inference(resolution,[status(thm)],[c197,c2]) ).
cnf(d4,plain,
'hAPP$uH562195827a$ubool'('fequal1878252616iple$ua',X0) = 'hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua',X0),'bot$ubo1687970473a$ubool'),
inference(demodulation,[status(thm)],[c31,c131]) ).
cnf(d5,plain,
( hBOOL('hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(X1),'hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'(X0),X2,X3)),'bot$ubo1687970473a$ubool')))
| hBOOL('hAPP$ustate$ubool'(X0,sK35(X1,X2,X3,'cOMBK$u1458035955bool$ua'(X0)))) ),
inference(superposition,[status(thm)],[c198,c18]) ).
cnf(d6,plain,
( hBOOL('hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(X3),'hAPP$uH562195827a$ubool'('fequal1878252616iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'(X0),X1,X2))))
| hBOOL('hAPP$ustate$ubool'(X0,sK35(X3,X1,X2,'cOMBK$u1458035955bool$ua'(X0)))) ),
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
hBOOL('hAPP$uH1927961489a$ubool'('hAPP$uf1400872321a$ubool'('hAPP$uH1816261935a$ubool'('insert1871499715iple$ua',X0),X1),X0)),
inference(equality_resolution,[status(thm)],[c53]) ).
cnf(d8,plain,
hBOOL('hAPP$uH1927961489a$ubool'('hAPP$uH562195827a$ubool'('fequal1878252616iple$ua',X0),X0)),
inference(superposition,[status(thm)],[d4,d7]) ).
cnf(d9,plain,
( hBOOL('hAPP$uH1927961489a$ubool'(X0,sK77(X0)))
| X0 = 'bot$ubo1687970473a$ubool' ),
inference(demodulation,[status(thm)],[c39,c131]) ).
cnf(d10,plain,
'hAPP$uH1927961489a$ubool'('cOMBK$u1150238960iple$ua'('bot$ubot$ubool'),X0) = 'bot$ubot$ubool',
inference(resolution,[status(thm)],[c206,c2]) ).
cnf(d11,plain,
( 'cOMBK$u1150238960iple$ua'('bot$ubot$ubool') = 'bot$ubo1687970473a$ubool'
| hBOOL('bot$ubot$ubool') ),
inference(superposition,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
'cOMBK$u1150238960iple$ua'('bot$ubot$ubool') = 'bot$ubo1687970473a$ubool',
inference(resolution,[status(thm)],[d2,d11]) ).
cnf(d13,plain,
'hAPP$uH1927961489a$ubool'('bot$ubo1687970473a$ubool',X0) = 'bot$ubot$ubool',
inference(demodulation,[status(thm)],[d10,d12]) ).
cnf(d14,plain,
'bot$ubo1687970473a$ubool' = 'cOMBK$u1150238960iple$ua'(fFalse),
inference(demodulation,[status(thm)],[c47,c131]) ).
cnf(d15,plain,
'hAPP$uH1927961489a$ubool'('cOMBK$u1150238960iple$ua'(fFalse),X0) = fFalse,
inference(resolution,[status(thm)],[c206,c3]) ).
cnf(d16,plain,
'hAPP$uH1927961489a$ubool'('bot$ubo1687970473a$ubool',X0) = fFalse,
inference(demodulation,[status(thm)],[d15,d14]) ).
cnf(d17,plain,
'bot$ubot$ubool' = fFalse,
inference(demodulation,[status(thm)],[d16,d13]) ).
cnf(d18,plain,
( 'hAPP$uH1927961489a$ubool'(X0,X1) = fTrue
| 'hAPP$uH1927961489a$ubool'(X0,X1) = fFalse ),
inference(resolution,[status(thm)],[c191,c7]) ).
cnf(d19,plain,
( 'hAPP$uH1927961489a$ubool'(X0,X1) = fTrue
| 'hAPP$uH1927961489a$ubool'(X0,X1) = 'bot$ubot$ubool' ),
inference(demodulation,[status(thm)],[d18,d17]) ).
cnf(d20,plain,
( 'hAPP$uH1927961489a$ubool'('hAPP$uH562195827a$ubool'('fequal1878252616iple$ua',X0),X0) = 'bot$ubot$ubool'
| hBOOL(fTrue) ),
inference(superposition,[status(thm)],[d19,d8]) ).
cnf(d21,plain,
~ hBOOL('hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(g),'hAPP$uH562195827a$ubool'('fequal1878252616iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'('cOMBK$ubool$ustate'(fFalse)),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('cOMBB$u145932198bool$ua'('cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('cOMBB$u1355796797bool$ua'('cOMBB$u188601460$ustate'(fconj)),p))),'hAPP$uf1759915619e$ubool'('cOMBB$u160679318$ustate'(fNot),b)))))),
inference(demodulation,[status(thm)],[c221,d4]) ).
cnf(d22,plain,
~ hBOOL('hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(g),'hAPP$uH562195827a$ubool'('fequal1878252616iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'('cOMBK$ubool$ustate'('bot$ubot$ubool')),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('cOMBB$u145932198bool$ua'('cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('cOMBB$u1355796797bool$ua'('cOMBB$u188601460$ustate'(fconj)),p))),'hAPP$uf1759915619e$ubool'('cOMBB$u160679318$ustate'(fNot),b)))))),
inference(demodulation,[status(thm)],[d21,d17]) ).
cnf(d23,plain,
( 'hAPP$uf1753944735l$ubool'(X0,X1) = fTrue
| 'hAPP$uf1753944735l$ubool'(X0,X1) = fFalse ),
inference(resolution,[status(thm)],[c191,c8]) ).
cnf(d24,plain,
( 'hAPP$uf1753944735l$ubool'(X0,X1) = fTrue
| 'hAPP$uf1753944735l$ubool'(X0,X1) = 'bot$ubot$ubool' ),
inference(demodulation,[status(thm)],[d23,d17]) ).
cnf(d25,plain,
( 'hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(g),'hAPP$uH562195827a$ubool'('fequal1878252616iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'('cOMBK$ubool$ustate'('bot$ubot$ubool')),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('cOMBB$u145932198bool$ua'('cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('cOMBB$u1355796797bool$ua'('cOMBB$u188601460$ustate'(fconj)),p))),'hAPP$uf1759915619e$ubool'('cOMBB$u160679318$ustate'(fNot),b))))) = 'bot$ubot$ubool'
| ~ hBOOL(fTrue) ),
inference(superposition,[status(thm)],[d24,d22]) ).
cnf(d26,plain,
( 'hAPP$uH1927961489a$ubool'('hAPP$uH562195827a$ubool'('fequal1878252616iple$ua',X0),X0) = 'bot$ubot$ubool'
| 'hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(g),'hAPP$uH562195827a$ubool'('fequal1878252616iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'('cOMBK$ubool$ustate'('bot$ubot$ubool')),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('cOMBB$u145932198bool$ua'('cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('cOMBB$u1355796797bool$ua'('cOMBB$u188601460$ustate'(fconj)),p))),'hAPP$uf1759915619e$ubool'('cOMBB$u160679318$ustate'(fNot),b))))) = 'bot$ubot$ubool' ),
inference(resolution,[status(thm)],[d25,d20]) ).
cnf(d27,plain,
( 'hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(g),'hAPP$uH562195827a$ubool'('fequal1878252616iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'('cOMBK$ubool$ustate'('bot$ubot$ubool')),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('cOMBB$u145932198bool$ua'('cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('cOMBB$u1355796797bool$ua'('cOMBB$u188601460$ustate'(fconj)),p))),'hAPP$uf1759915619e$ubool'('cOMBB$u160679318$ustate'(fNot),b))))) = 'bot$ubot$ubool'
| hBOOL('bot$ubot$ubool') ),
inference(superposition,[status(thm)],[d26,d8]) ).
cnf(d28,plain,
'hAPP$uf1753944735l$ubool'('hoare$u472868247rivs$ua'(g),'hAPP$uH562195827a$ubool'('fequal1878252616iple$ua','hoare$u1050552211iple$ua'('cOMBK$u1458035955bool$ua'('cOMBK$ubool$ustate'('bot$ubot$ubool')),c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('cOMBB$u145932198bool$ua'('cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('cOMBB$u1355796797bool$ua'('cOMBB$u188601460$ustate'(fconj)),p))),'hAPP$uf1759915619e$ubool'('cOMBB$u160679318$ustate'(fNot),b))))) = 'bot$ubot$ubool',
inference(resolution,[status(thm)],[d2,d27]) ).
cnf(d29,plain,
( hBOOL('hAPP$ustate$ubool'('cOMBK$ubool$ustate'('bot$ubot$ubool'),sK35(g,c,'hAPP$uf762886889e$ubool'('hAPP$uf1261923407e$ubool'('cOMBC$u892787026e$ubool','hAPP$uf963367678e$ubool'('cOMBB$u145932198bool$ua'('cOMBS$u1378840469l$ubool'),'hAPP$uf1509969235l$ubool'('cOMBB$u1355796797bool$ua'('cOMBB$u188601460$ustate'(fconj)),p))),'hAPP$uf1759915619e$ubool'('cOMBB$u160679318$ustate'(fNot),b)),'cOMBK$u1458035955bool$ua'('cOMBK$ubool$ustate'('bot$ubot$ubool')))))
| hBOOL('bot$ubot$ubool') ),
inference(superposition,[status(thm)],[d28,d6]) ).
cnf(d30,plain,
( hBOOL('bot$ubot$ubool')
| hBOOL('bot$ubot$ubool') ),
inference(demodulation,[status(thm)],[d29,d3]) ).
cnf(d31,plain,
hBOOL('bot$ubot$ubool'),
inference(resolution,[status(thm)],[d2,d30]) ).
cnf(d32,plain,
$false,
inference(resolution,[status(thm)],[d31,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW470+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n017.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sat Sep 26 15:53:04 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.64/5.78 % SZS status Theorem for theBenchmark.p
% 22.64/5.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------