%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV892-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 09:04:53 AM UTC 2026
% Result : Unsatisfiable 164.06s 34.37s
% Output : CNFRefutation 164.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of clauses : 61 ( 34 unt; 5 nHn; 33 RR)
% Number of literals : 94 ( 33 equ; 36 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 2 prp; 0-4 aty)
% Number of functors : 20 ( 20 usr; 6 con; 0-5 aty)
% Number of variables : 143 ( 49 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_fun__upd__idem__iff_1,axiom,
'c$uFun$uOfun$u$uupd'(X0,X1,hAPP(X0,X1),X2,X3) = X0 ).
cnf(cls_fun__upd__apply_0,axiom,
hAPP('c$uFun$uOfun$u$uupd'(X0,X1,X2,X3,X4),X1) = X2 ).
cnf(cls_fun__upd__upd_0,axiom,
'c$uFun$uOfun$u$uupd'('c$uFun$uOfun$u$uupd'(X0,X1,X2,X3,X4),X1,X5,X3,X4) = 'c$uFun$uOfun$u$uupd'(X0,X1,X5,X3,X4) ).
cnf(cls_upd__None__map__le_0,axiom,
'c$uMap$uOmap$u$ule'('c$uFun$uOfun$u$uupd'(X0,X1,'c$uOption$uOoption$uONone'(X2),X3,'tc$uOption$uOoption'(X2)),X0,X3,X2) ).
cnf(cls_Collect__def_0,axiom,
'c$uCollect'(X0,X1) = X0 ).
cnf(cls_WTs__elim__cases_I7_J_0,axiom,
( ~ 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'(X0))
| hAPP('c$uCom$uObody',X0) = 'c$uOption$uOoption$uOSome'('c$uCom$uOsko$u$uCom$u$uXWTs$u$uelim$u$ucases$u$u7$u$u1'(X0),'tc$uCom$uOcom') ) ).
cnf(cls_COMBC__def_0,axiom,
hAPP(hAPP('c$uCOMBC'(X0,X1,X2,X3),X4),X5) = hAPP(hAPP(X0,X5),X4) ).
cnf(cls_Collect__mem__eq_0,axiom,
'c$uCollect'(hAPP('c$uCOMBC'('c$uin'(X0),X0,'tc$ufun'(X0,'tc$ubool'),'tc$ubool'),X1),X0) = X1 ).
cnf(cls_WT_OBody_0,axiom,
( hAPP('c$uCom$uObody',X0) = 'c$uOption$uOoption$uONone'('tc$uCom$uOcom')
| 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'(X0)) ) ).
cnf(cls_the_Osimps_0,axiom,
'c$uOption$uOthe'('c$uOption$uOoption$uOSome'(X0,X1),X1) = X0 ).
cnf(cls_WT_OSkip_0,axiom,
'c$uCom$uOWT'('c$uCom$uOcom$uOSKIP') ).
cnf(cls_WT_OAssign_0,axiom,
'c$uCom$uOWT'('c$uCom$uOcom$uOAss'(X0,X1)) ).
cnf(cls_map__le__def_0,axiom,
( ~ 'c$uMap$uOmap$u$ule'(X0,X2,X3,X4)
| ~ hBOOL(hAPP(hAPP('c$uin'(X3),X1),'c$uMap$uOdom'(X0,X3,X4)))
| hAPP(X0,X1) = hAPP(X2,X1) ) ).
cnf(cls_WT__bodiesD_0,axiom,
( 'c$uCom$uOWT'(X1)
| ~ 'c$uCom$uOWT$u$ubodies'
| hAPP('c$uCom$uObody',X0) != 'c$uOption$uOoption$uOSome'(X1,'tc$uCom$uOcom') ) ).
cnf(cls_mem__def_0,axiom,
( ~ hBOOL(hAPP(hAPP('c$uin'(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ) ).
cnf(cls_conjecture_1,negated_conjecture,
'c$uCom$uOWT$u$ubodies' ).
cnf(cls_conjecture_3,negated_conjecture,
hBOOL(hAPP(hAPP('c$uin'('tc$uCom$uOpname'),'v$upn'),'c$uMap$uOdom'('c$uCom$uObody','tc$uCom$uOpname','tc$uCom$uOcom'))) ).
cnf(cls_conjecture_4,negated_conjecture,
~ 'c$uCom$uOWT'('c$uOption$uOthe'(hAPP('c$uCom$uObody','v$upn'),'tc$uCom$uOcom')) ).
cnf(c13,plain,
'c$uFun$uOfun$u$uupd'(X0,X1,hAPP(X0,X1),X2,X3) = X0,
inference(clausification,[status(esa)],[cls_fun__upd__idem__iff_1]) ).
cnf(c14,plain,
hAPP('c$uFun$uOfun$u$uupd'(X0,X1,X2,X3,X4),X1) = X2,
inference(clausification,[status(esa)],[cls_fun__upd__apply_0]) ).
cnf(c39,plain,
'c$uFun$uOfun$u$uupd'('c$uFun$uOfun$u$uupd'(X0,X1,X2,X3,X4),X1,X5,X3,X4) = 'c$uFun$uOfun$u$uupd'(X0,X1,X5,X3,X4),
inference(clausification,[status(esa)],[cls_fun__upd__upd_0]) ).
cnf(c170,plain,
'c$uMap$uOmap$u$ule'('c$uFun$uOfun$u$uupd'(X0,X1,'c$uOption$uOoption$uONone'(X2),X3,'tc$uOption$uOoption'(X2)),X0,X3,X2),
inference(clausification,[status(esa)],[cls_upd__None__map__le_0]) ).
cnf(c283,plain,
'c$uCollect'(X0,X1) = X0,
inference(clausification,[status(esa)],[cls_Collect__def_0]) ).
cnf(c344,plain,
( ~ 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'(X0))
| hAPP('c$uCom$uObody',X0) = 'c$uOption$uOoption$uOSome'('c$uCom$uOsko$u$uCom$u$uXWTs$u$uelim$u$ucases$u$u7$u$u1'(X0),'tc$uCom$uOcom') ),
inference(clausification,[status(esa)],[cls_WTs__elim__cases_I7_J_0]) ).
cnf(c382,plain,
hAPP(hAPP('c$uCOMBC'(X0,X1,X2,X3),X4),X5) = hAPP(hAPP(X0,X5),X4),
inference(clausification,[status(esa)],[cls_COMBC__def_0]) ).
cnf(c559,plain,
'c$uCollect'(hAPP('c$uCOMBC'('c$uin'(X0),X0,'tc$ufun'(X0,'tc$ubool'),'tc$ubool'),X1),X0) = X1,
inference(clausification,[status(esa)],[cls_Collect__mem__eq_0]) ).
cnf(c635,plain,
( hAPP('c$uCom$uObody',X0) = 'c$uOption$uOoption$uONone'('tc$uCom$uOcom')
| 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'(X0)) ),
inference(clausification,[status(esa)],[cls_WT_OBody_0]) ).
cnf(c638,plain,
'c$uOption$uOthe'('c$uOption$uOoption$uOSome'(X0,X1),X1) = X0,
inference(clausification,[status(esa)],[cls_the_Osimps_0]) ).
cnf(c645,plain,
'c$uCom$uOWT'('c$uCom$uOcom$uOSKIP'),
inference(clausification,[status(esa)],[cls_WT_OSkip_0]) ).
cnf(c646,plain,
'c$uCom$uOWT'('c$uCom$uOcom$uOAss'(X0,X1)),
inference(clausification,[status(esa)],[cls_WT_OAssign_0]) ).
cnf(c658,plain,
( ~ 'c$uMap$uOmap$u$ule'(X0,X2,X3,X4)
| ~ hBOOL(hAPP(hAPP('c$uin'(X3),X1),'c$uMap$uOdom'(X0,X3,X4)))
| hAPP(X0,X1) = hAPP(X2,X1) ),
inference(clausification,[status(esa)],[cls_map__le__def_0]) ).
cnf(c661,plain,
( 'c$uCom$uOWT'(X1)
| ~ 'c$uCom$uOWT$u$ubodies'
| hAPP('c$uCom$uObody',X0) != 'c$uOption$uOoption$uOSome'(X1,'tc$uCom$uOcom') ),
inference(clausification,[status(esa)],[cls_WT__bodiesD_0]) ).
cnf(c664,plain,
( ~ hBOOL(hAPP(hAPP('c$uin'(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
inference(clausification,[status(esa)],[cls_mem__def_0]) ).
cnf(c666,plain,
'c$uCom$uOWT$u$ubodies',
inference(clausification,[status(esa)],[cls_conjecture_1]) ).
cnf(c668,plain,
hBOOL(hAPP(hAPP('c$uin'('tc$uCom$uOpname'),'v$upn'),'c$uMap$uOdom'('c$uCom$uObody','tc$uCom$uOpname','tc$uCom$uOcom'))),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c669,plain,
~ 'c$uCom$uOWT'('c$uOption$uOthe'(hAPP('c$uCom$uObody','v$upn'),'tc$uCom$uOcom')),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(d0,plain,
hBOOL(hAPP('c$uMap$uOdom'('c$uCom$uObody','tc$uCom$uOpname','tc$uCom$uOcom'),'v$upn')),
inference(resolution,[status(thm)],[c664,c668]) ).
cnf(d1,plain,
hAPP('c$uCOMBC'('c$uin'(X0),X0,'tc$ufun'(X0,'tc$ubool'),'tc$ubool'),X1) = X1,
inference(demodulation,[status(thm)],[c559,c283]) ).
cnf(d2,plain,
hAPP(X1,X2) = hAPP(hAPP('c$uin'(X0),X2),X1),
inference(superposition,[status(thm)],[d1,c382]) ).
cnf(d3,plain,
( ~ 'c$uMap$uOmap$u$ule'(X2,X4,X0,X3)
| ~ hBOOL(hAPP('c$uMap$uOdom'(X2,X0,X3),X1))
| hAPP(X2,X1) = hAPP(X4,X1) ),
inference(demodulation,[status(thm)],[c658,d2]) ).
cnf(d4,plain,
( ~ 'c$uMap$uOmap$u$ule'('c$uCom$uObody',X0,'tc$uCom$uOpname','tc$uCom$uOcom')
| hAPP('c$uCom$uObody','v$upn') = hAPP(X0,'v$upn') ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
( ~ 'c$uMap$uOmap$u$ule'('c$uCom$uObody',X0,'tc$uCom$uOpname','tc$uCom$uOcom')
| ~ 'c$uCom$uOWT'('c$uOption$uOthe'(hAPP(X0,'v$upn'),'tc$uCom$uOcom')) ),
inference(superposition,[status(thm)],[d4,c669]) ).
cnf(d6,plain,
( ~ 'c$uMap$uOmap$u$ule'('c$uCom$uObody','c$uFun$uOfun$u$uupd'(X0,'v$upn',X1,X2,X3),'tc$uCom$uOpname','tc$uCom$uOcom')
| ~ 'c$uCom$uOWT'('c$uOption$uOthe'(X1,'tc$uCom$uOcom')) ),
inference(superposition,[status(thm)],[c14,d5]) ).
cnf(d7,plain,
'c$uMap$uOmap$u$ule'('c$uFun$uOfun$u$uupd'(X0,X1,'c$uOption$uOoption$uONone'(X4),X3,'tc$uOption$uOoption'(X4)),'c$uFun$uOfun$u$uupd'(X0,X1,X2,X3,'tc$uOption$uOoption'(X4)),X3,X4),
inference(superposition,[status(thm)],[c39,c170]) ).
cnf(d8,plain,
'c$uFun$uOfun$u$uupd'(X0,X1,hAPP('c$uFun$uOfun$u$uupd'(X0,X1,X2,X3,X4),X1),X3,X4) = 'c$uFun$uOfun$u$uupd'(X0,X1,X2,X3,X4),
inference(superposition,[status(thm)],[c39,c13]) ).
cnf(d9,plain,
'c$uFun$uOfun$u$uupd'(X0,X1,X2,X3,X4) = 'c$uFun$uOfun$u$uupd'(X0,X1,X2,X3,X4),
inference(demodulation,[status(thm)],[d8,c14]) ).
cnf(d10,plain,
( 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'(X0))
| 'c$uFun$uOfun$u$uupd'('c$uCom$uObody',X0,'c$uOption$uOoption$uONone'('tc$uCom$uOcom'),X1,X2) = 'c$uCom$uObody' ),
inference(superposition,[status(thm)],[c635,c13]) ).
cnf(d11,plain,
( 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'(X0))
| 'c$uCom$uObody' = 'c$uFun$uOfun$u$uupd'('c$uCom$uObody',X0,'c$uOption$uOoption$uONone'('tc$uCom$uOcom'),X1,X2) ),
inference(superposition,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
( 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'(X0))
| 'c$uMap$uOmap$u$ule'('c$uCom$uObody','c$uFun$uOfun$u$uupd'('c$uCom$uObody',X0,X2,X1,'tc$uOption$uOoption'('tc$uCom$uOcom')),X1,'tc$uCom$uOcom') ),
inference(superposition,[status(thm)],[d11,d7]) ).
cnf(d13,plain,
( ~ 'c$uCom$uOWT'('c$uOption$uOthe'(X0,'tc$uCom$uOcom'))
| 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'('v$upn')) ),
inference(resolution,[status(thm)],[d12,d6]) ).
cnf(d14,plain,
( 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'('v$upn'))
| ~ 'c$uCom$uOWT'(X0) ),
inference(superposition,[status(thm)],[c638,d13]) ).
cnf(d15,plain,
( ~ 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'(X0))
| 'c$uOption$uOthe'(hAPP('c$uCom$uObody',X0),'tc$uCom$uOcom') = 'c$uCom$uOsko$u$uCom$u$uXWTs$u$uelim$u$ucases$u$u7$u$u1'(X0) ),
inference(superposition,[status(thm)],[c344,c638]) ).
cnf(d16,plain,
( ~ 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'('v$upn'))
| ~ 'c$uCom$uOWT'('c$uCom$uOsko$u$uCom$u$uXWTs$u$uelim$u$ucases$u$u7$u$u1'('v$upn')) ),
inference(superposition,[status(thm)],[d15,c669]) ).
cnf(d17,plain,
( 'c$uCom$uOWT'(X1)
| hAPP('c$uCom$uObody',X0) != 'c$uOption$uOoption$uOSome'(X1,'tc$uCom$uOcom') ),
inference(resolution,[status(thm)],[c666,c661]) ).
cnf(d18,plain,
( ~ 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'(X0))
| 'c$uCom$uOWT'('c$uCom$uOsko$u$uCom$u$uXWTs$u$uelim$u$ucases$u$u7$u$u1'(X0))
| hAPP('c$uCom$uObody',X1) != hAPP('c$uCom$uObody',X0) ),
inference(superposition,[status(thm)],[c344,d17]) ).
cnf(d19,plain,
( 'c$uCom$uOWT'('c$uCom$uOsko$u$uCom$u$uXWTs$u$uelim$u$ucases$u$u7$u$u1'(X0))
| ~ 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'(X0)) ),
inference(equality_resolution,[status(thm)],[d18]) ).
cnf(d20,plain,
( 'c$uCom$uOWT'('c$uCom$uOsko$u$uCom$u$uXWTs$u$uelim$u$ucases$u$u7$u$u1'('v$upn'))
| ~ 'c$uCom$uOWT'(X0) ),
inference(resolution,[status(thm)],[d14,d19]) ).
cnf(d21,plain,
( ~ 'c$uCom$uOWT'('c$uCom$uOcom$uOBODY'('v$upn'))
| ~ 'c$uCom$uOWT'(X0) ),
inference(resolution,[status(thm)],[d20,d16]) ).
cnf(d22,plain,
( ~ 'c$uCom$uOWT'(X1)
| ~ 'c$uCom$uOWT'(X0) ),
inference(resolution,[status(thm)],[d21,d14]) ).
cnf(d23,plain,
~ 'c$uCom$uOWT'(X0),
inference(resolution,[status(thm)],[d22,c646]) ).
cnf(d24,plain,
$false,
inference(resolution,[status(thm)],[d23,c645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV892-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.59 % Computer : n002.cluster.edu
% 0.10/10.59 % Model : x86_64 x86_64
% 0.10/10.59 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.59 % Memory : 8046.5625MB
% 0.10/10.59 % OS : Linux 6.8.0-71-generic
% 0.10/10.59 % CPULimit : 300
% 0.10/10.59 % WCLimit : 300
% 0.10/10.59 % DateTime : Sat Sep 26 15:10:05 UTC 2026
% 0.10/10.59 % CPUTime :
% 0.10/10.59 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 164.06/34.37 % SZS status Unsatisfiable for theBenchmark.p
% 164.06/34.37 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------