%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 07:48:03 AM UTC 2026
% Result : Unsatisfiable 10.51s 1.74s
% Output : CNFRefutation 10.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 11 unt; 6 nHn; 21 RR)
% Number of literals : 42 ( 14 equ; 21 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 10 con; 0-5 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ 'c$uin'('c$uTarski$uOpotype$uOpotype$u$uext'('v$uintY1','c$uTarski$uOinduced'('v$uintY1','v$ur','t$ua'),'c$uProduct$u$uType$uOUnity','t$ua','tc$uProduct$u$uType$uOunit'),'c$uTarski$uOCompleteLattice','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'('t$ua','tc$uProduct$u$uType$uOunit')) ).
cnf(cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0,axiom,
'c$uin'('c$uTarski$uOTop'('v$ucl','t$ua'),'v$uA','t$ua') ).
cnf(cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0,axiom,
( 'c$uTarski$uOinterval'('v$ur',X1,X0,'t$ua') = 'c$uemptyset'
| 'c$uin'('c$uTarski$uOpotype$uOpotype$u$uext'('c$uTarski$uOinterval'('v$ur',X1,X0,'t$ua'),'c$uTarski$uOinduced'('c$uTarski$uOinterval'('v$ur',X1,X0,'t$ua'),'v$ur','t$ua'),'c$uProduct$u$uType$uOUnity','t$ua','tc$uProduct$u$uType$uOunit'),'c$uTarski$uOCompleteLattice','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'('t$ua','tc$uProduct$u$uType$uOunit'))
| ~ 'c$uin'(X1,'v$uA','t$ua')
| ~ 'c$uin'(X0,'v$uA','t$ua') ) ).
cnf(cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0,axiom,
'v$uintY1' = 'c$uTarski$uOinterval'('v$ur','c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'c$uTarski$uOTop'('v$ucl','t$ua'),'t$ua') ).
cnf(cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0,axiom,
'c$uin'('c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'v$uA','t$ua') ).
cnf(cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0,axiom,
( 'c$uTarski$uOinterval'('v$ur',X0,'c$uTarski$uOTop'('v$ucl','t$ua'),'t$ua') != 'c$uemptyset'
| ~ 'c$uin'(X0,'v$uA','t$ua') ) ).
cnf(c0,plain,
~ 'c$uin'('c$uTarski$uOpotype$uOpotype$u$uext'('v$uintY1','c$uTarski$uOinduced'('v$uintY1','v$ur','t$ua'),'c$uProduct$u$uType$uOUnity','t$ua','tc$uProduct$u$uType$uOunit'),'c$uTarski$uOCompleteLattice','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'('t$ua','tc$uProduct$u$uType$uOunit')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
'c$uin'('c$uTarski$uOTop'('v$ucl','t$ua'),'v$uA','t$ua'),
inference(clausification,[status(esa)],[cls_Tarski_OTop_Acl_A_58_AA_A_61_61_ATrue_0]) ).
cnf(c2,plain,
( 'c$uTarski$uOinterval'('v$ur',X1,X0,'t$ua') = 'c$uemptyset'
| 'c$uin'('c$uTarski$uOpotype$uOpotype$u$uext'('c$uTarski$uOinterval'('v$ur',X1,X0,'t$ua'),'c$uTarski$uOinduced'('c$uTarski$uOinterval'('v$ur',X1,X0,'t$ua'),'v$ur','t$ua'),'c$uProduct$u$uType$uOUnity','t$ua','tc$uProduct$u$uType$uOunit'),'c$uTarski$uOCompleteLattice','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'('t$ua','tc$uProduct$u$uType$uOunit'))
| ~ 'c$uin'(X1,'v$uA','t$ua')
| ~ 'c$uin'(X0,'v$uA','t$ua') ),
inference(clausification,[status(esa)],[cls_Tarski_O_91_124_Aa2_A_58_AA_59_Ab2_A_58_AA_59_Ainterval_Ar_Aa2_Ab2_A_126_61_A_123_125_A_124_93_A_61_61_62_A_I_124_Apset_A_61_Ainterval_Ar_Aa2_Ab2_M_Aorder_A_61_Ainduced_A_Iinterval_Ar_Aa2_Ab2_J_Ar_A_124_J_A_58_ACompleteLattice_A_61_61_ATrue_0]) ).
cnf(c3,plain,
'v$uintY1' = 'c$uTarski$uOinterval'('v$ur','c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'c$uTarski$uOTop'('v$ucl','t$ua'),'t$ua'),
inference(clausification,[status(esa)],[cls_Tarski_OintY1_A_61_61_Ainterval_Ar_A_Ilub_AY_Acl_J_A_ITop_Acl_J_0]) ).
cnf(c4,plain,
'c$uin'('c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'v$uA','t$ua'),
inference(clausification,[status(esa)],[cls_Tarski_Olub_AY_Acl_A_58_AA_A_61_61_ATrue_0]) ).
cnf(c5,plain,
( 'c$uTarski$uOinterval'('v$ur',X0,'c$uTarski$uOTop'('v$ucl','t$ua'),'t$ua') != 'c$uemptyset'
| ~ 'c$uin'(X0,'v$uA','t$ua') ),
inference(clausification,[status(esa)],[cls_Tarski_Ox1_A_58_AA_A_61_61_62_Ainterval_Ar_Ax1_A_ITop_Acl_J_A_61_A_123_125_A_61_61_AFalse_0]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'v$uA','t$ua')
| ~ 'c$uin'('c$uTarski$uOTop'('v$ucl','t$ua'),'v$uA','t$ua')
| 'c$uTarski$uOinterval'('v$ur','c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'c$uTarski$uOTop'('v$ucl','t$ua'),'t$ua') = 'c$uemptyset'
| 'c$uin'('c$uTarski$uOpotype$uOpotype$u$uext'('v$uintY1','c$uTarski$uOinduced'('c$uTarski$uOinterval'('v$ur','c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'c$uTarski$uOTop'('v$ucl','t$ua'),'t$ua'),'v$ur','t$ua'),'c$uProduct$u$uType$uOUnity','t$ua','tc$uProduct$u$uType$uOunit'),'c$uTarski$uOCompleteLattice','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'('t$ua','tc$uProduct$u$uType$uOunit')) ),
inference(superposition,[status(thm)],[c3,c2]) ).
cnf(d1,plain,
( ~ 'c$uin'('c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'v$uA','t$ua')
| ~ 'c$uin'('c$uTarski$uOTop'('v$ucl','t$ua'),'v$uA','t$ua')
| 'c$uin'('c$uTarski$uOpotype$uOpotype$u$uext'('v$uintY1','c$uTarski$uOinduced'('c$uTarski$uOinterval'('v$ur','c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'c$uTarski$uOTop'('v$ucl','t$ua'),'t$ua'),'v$ur','t$ua'),'c$uProduct$u$uType$uOUnity','t$ua','tc$uProduct$u$uType$uOunit'),'c$uTarski$uOCompleteLattice','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'('t$ua','tc$uProduct$u$uType$uOunit'))
| 'v$uintY1' = 'c$uemptyset' ),
inference(demodulation,[status(thm)],[d0,c3]) ).
cnf(d2,plain,
( ~ 'c$uin'('c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'v$uA','t$ua')
| ~ 'c$uin'('c$uTarski$uOTop'('v$ucl','t$ua'),'v$uA','t$ua')
| 'c$uin'('c$uTarski$uOpotype$uOpotype$u$uext'('v$uintY1','c$uTarski$uOinduced'('v$uintY1','v$ur','t$ua'),'c$uProduct$u$uType$uOUnity','t$ua','tc$uProduct$u$uType$uOunit'),'c$uTarski$uOCompleteLattice','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'('t$ua','tc$uProduct$u$uType$uOunit'))
| 'v$uintY1' = 'c$uemptyset' ),
inference(demodulation,[status(thm)],[d1,c3]) ).
cnf(d3,plain,
( ~ 'c$uin'('c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'v$uA','t$ua')
| 'c$uin'('c$uTarski$uOpotype$uOpotype$u$uext'('v$uintY1','c$uTarski$uOinduced'('v$uintY1','v$ur','t$ua'),'c$uProduct$u$uType$uOUnity','t$ua','tc$uProduct$u$uType$uOunit'),'c$uTarski$uOCompleteLattice','tc$uTarski$uOpotype$uOpotype$u$uext$u$utype'('t$ua','tc$uProduct$u$uType$uOunit'))
| 'v$uintY1' = 'c$uemptyset' ),
inference(resolution,[status(thm)],[c1,d2]) ).
cnf(d4,plain,
( ~ 'c$uin'('c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'v$uA','t$ua')
| 'v$uintY1' = 'c$uemptyset' ),
inference(resolution,[status(thm)],[c0,d3]) ).
cnf(d5,plain,
'v$uintY1' = 'c$uemptyset',
inference(resolution,[status(thm)],[c4,d4]) ).
cnf(d6,plain,
( ~ 'c$uin'('c$uTarski$uOlub'('v$uY','v$ucl','t$ua'),'v$uA','t$ua')
| 'v$uintY1' != 'c$uemptyset' ),
inference(superposition,[status(thm)],[c3,c5]) ).
cnf(d7,plain,
'v$uintY1' != 'c$uemptyset',
inference(resolution,[status(thm)],[c4,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT269-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 20:23:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.51/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 10.51/1.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------