%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWV774-1 : 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 09:04:41 AM UTC 2026
% Result : Unsatisfiable 24.90s 4.13s
% Output : CNFRefutation 24.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 20 unt; 0 nHn; 13 RR)
% Number of literals : 40 ( 20 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 34 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_inf__sup__ord_I3_J_0,axiom,
( 'c$ulessequals'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,X0),X0)
| ~ 'class$uLattices$uOlattice'(X0) ) ).
cnf(cls_sup__idem_0,axiom,
( 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X1,X0) = X1
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ) ).
cnf(cls_sup__absorb1_0,axiom,
( ~ 'c$ulessequals'(X2,X1,X0)
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,X0) = X1
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ) ).
cnf(cls_knows__Nil_0,axiom,
'c$uEvent$uOknows'(X0,'c$uList$uOlist$uONil'('tc$uEvent$uOevent')) = 'c$uEvent$uOinitState'(X0) ).
cnf(cls_knows__Spy__Gets_0,axiom,
'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','c$uList$uOlist$uOCons'('c$uEvent$uOevent$uOGets'(X0,X1),X2,'tc$uEvent$uOevent')) = 'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X2) ).
cnf(cls_self__append__conv2_1,axiom,
X0 = 'c$uList$uOappend'('c$uList$uOlist$uONil'(X1),X0,X1) ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','c$uList$uOappend'('c$uList$uOlist$uONil'('tc$uEvent$uOevent'),'c$uList$uOlist$uOCons'('c$uEvent$uOevent$uOGets'('v$uA','v$uX'),'c$uList$uOlist$uONil'('tc$uEvent$uOevent'),'tc$uEvent$uOevent'),'tc$uEvent$uOevent')) != 'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','c$uList$uOlist$uONil'('tc$uEvent$uOevent')) ).
cnf(clsarity_nat__Lattices_Oupper__semilattice,axiom,
'class$uLattices$uOupper$u$usemilattice'('tc$unat') ).
cnf(clsarity_nat__Lattices_Olattice,axiom,
'class$uLattices$uOlattice'('tc$unat') ).
cnf(c17,plain,
( 'c$ulessequals'(X1,'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,X0),X0)
| ~ 'class$uLattices$uOlattice'(X0) ),
inference(clausification,[status(esa)],[cls_inf__sup__ord_I3_J_0]) ).
cnf(c40,plain,
( 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X1,X0) = X1
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ),
inference(clausification,[status(esa)],[cls_sup__idem_0]) ).
cnf(c61,plain,
( ~ 'c$ulessequals'(X2,X1,X0)
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X1,X2,X0) = X1
| ~ 'class$uLattices$uOupper$u$usemilattice'(X0) ),
inference(clausification,[status(esa)],[cls_sup__absorb1_0]) ).
cnf(c427,plain,
'c$uEvent$uOknows'(X0,'c$uList$uOlist$uONil'('tc$uEvent$uOevent')) = 'c$uEvent$uOinitState'(X0),
inference(clausification,[status(esa)],[cls_knows__Nil_0]) ).
cnf(c464,plain,
'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','c$uList$uOlist$uOCons'('c$uEvent$uOevent$uOGets'(X0,X1),X2,'tc$uEvent$uOevent')) = 'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy',X2),
inference(clausification,[status(esa)],[cls_knows__Spy__Gets_0]) ).
cnf(c465,plain,
X0 = 'c$uList$uOappend'('c$uList$uOlist$uONil'(X1),X0,X1),
inference(clausification,[status(esa)],[cls_self__append__conv2_1]) ).
cnf(c482,plain,
'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','c$uList$uOappend'('c$uList$uOlist$uONil'('tc$uEvent$uOevent'),'c$uList$uOlist$uOCons'('c$uEvent$uOevent$uOGets'('v$uA','v$uX'),'c$uList$uOlist$uONil'('tc$uEvent$uOevent'),'tc$uEvent$uOevent'),'tc$uEvent$uOevent')) != 'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','c$uList$uOlist$uONil'('tc$uEvent$uOevent')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c488,plain,
'class$uLattices$uOupper$u$usemilattice'('tc$unat'),
inference(clausification,[status(esa)],[clsarity_nat__Lattices_Oupper__semilattice]) ).
cnf(c491,plain,
'class$uLattices$uOlattice'('tc$unat'),
inference(clausification,[status(esa)],[clsarity_nat__Lattices_Olattice]) ).
cnf(d0,plain,
'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','c$uList$uOlist$uOCons'('c$uEvent$uOevent$uOGets'('v$uA','v$uX'),'c$uList$uOlist$uONil'('tc$uEvent$uOevent'),'tc$uEvent$uOevent')) != 'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','c$uList$uOlist$uONil'('tc$uEvent$uOevent')),
inference(demodulation,[status(thm)],[c482,c465]) ).
cnf(d1,plain,
'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','c$uList$uOlist$uONil'('tc$uEvent$uOevent')) != 'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','c$uList$uOlist$uONil'('tc$uEvent$uOevent')),
inference(demodulation,[status(thm)],[d0,c464]) ).
cnf(d2,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') != 'c$uEvent$uOknows'('c$uMessage$uOagent$uOSpy','c$uList$uOlist$uONil'('tc$uEvent$uOevent')),
inference(demodulation,[status(thm)],[d1,c427]) ).
cnf(d3,plain,
'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy') != 'c$uEvent$uOinitState'('c$uMessage$uOagent$uOSpy'),
inference(demodulation,[status(thm)],[d2,c427]) ).
cnf(d4,plain,
'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X0,'tc$unat') = X0,
inference(resolution,[status(thm)],[c40,c488]) ).
cnf(d5,plain,
( ~ 'class$uLattices$uOlattice'('tc$unat')
| 'c$ulessequals'(X0,X0,'tc$unat') ),
inference(superposition,[status(thm)],[d4,c17]) ).
cnf(d6,plain,
'c$ulessequals'(X0,X0,'tc$unat'),
inference(resolution,[status(thm)],[c491,d5]) ).
cnf(d7,plain,
( ~ 'class$uLattices$uOupper$u$usemilattice'('tc$unat')
| 'c$uLattices$uOupper$u$usemilattice$u$uclass$uOsup'(X0,X0,'tc$unat') = X0 ),
inference(resolution,[status(thm)],[c61,d6]) ).
cnf(d8,plain,
( ~ 'class$uLattices$uOupper$u$usemilattice'('tc$unat')
| X0 = X0 ),
inference(demodulation,[status(thm)],[d7,d4]) ).
cnf(d9,plain,
X0 = X0,
inference(resolution,[status(thm)],[c488,d8]) ).
cnf(d10,plain,
$false,
inference(resolution,[status(thm)],[d9,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV774-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.52 % Computer : n002.cluster.edu
% 0.08/0.52 % Model : x86_64 x86_64
% 0.08/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.52 % Memory : 8046.5625MB
% 0.08/0.52 % OS : Linux 6.8.0-71-generic
% 0.08/0.52 % CPULimit : 300
% 0.08/0.52 % WCLimit : 300
% 0.08/0.52 % DateTime : Sat Sep 26 14:58:52 UTC 2026
% 0.08/0.52 % CPUTime :
% 0.08/0.52 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.90/4.13 % SZS status Unsatisfiable for theBenchmark.p
% 24.90/4.13 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------