%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT276-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 07:48:04 AM UTC 2026
% Result : Unsatisfiable 12.53s 2.53s
% Output : CNFRefutation 12.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of clauses : 57 ( 11 unt; 14 nHn; 57 RR)
% Number of literals : 152 ( 4 equ; 92 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-4 aty)
% Number of variables : 32 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')) ).
cnf(cls_conjecture_10,negated_conjecture,
( ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'(X0,'v$uS','t$ua')
| 'c$uin'('c$uPair'(X0,'v$uxa','t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua')) ) ).
cnf(cls_conjecture_3,negated_conjecture,
( 'c$uin'('v$uxa','v$uS','t$ua')
| 'c$uin'('v$uxa','c$uTarski$uOpotype$uOpset'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'t$ua') ) ).
cnf(cls_conjecture_4,negated_conjecture,
( 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$uin'('c$uPair'('c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'v$uxa','t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua')) ) ).
cnf(cls_conjecture_6,negated_conjecture,
( ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'('c$uPair'('c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'v$uxa','t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua')) ) ).
cnf(cls_conjecture_9,negated_conjecture,
( 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$uin'(X0,'v$uS','t$ua')
| 'c$uin'('c$uPair'(X0,'v$uxa','t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua')) ) ).
cnf(cls_Set_OsubsetD_0,axiom,
( 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ) ).
cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
'v$uA' = 'c$uTarski$uOpotype$uOpset'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit') ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0,axiom,
( 'c$uin'('v$usko$u$u4mP'(X0,X1,'v$ur'),X1,'t$ua')
| 'c$uin'('c$uPair'('c$uTarski$uOlub'(X1,'v$ucl','t$ua'),X0,'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$ulessequals'(X1,'v$uA','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,'v$uA','t$ua') ) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1,axiom,
( 'c$uin'('c$uPair'('c$uTarski$uOlub'(X1,'v$ucl','t$ua'),X0,'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$ulessequals'(X1,'v$uA','tc$uset'('t$ua'))
| ~ 'c$uin'('c$uPair'('v$usko$u$u4mP'(X0,X1,'v$ur'),X0,'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'(X0,'v$uA','t$ua') ) ).
cnf(cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0,axiom,
( 'c$uin'('c$uPair'(X0,'c$uTarski$uOlub'(X1,'v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$ulessequals'(X1,'v$uA','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,X1,'t$ua') ) ).
cnf(cls_Tarski_Or_A_61_61_Aorder_Acl_0,axiom,
'v$ur' = 'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit') ).
cnf(c0,plain,
'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')),
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c1,plain,
( ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'(X0,'v$uS','t$ua')
| 'c$uin'('c$uPair'(X0,'v$uxa','t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_10]) ).
cnf(c2,plain,
( 'c$uin'('v$uxa','v$uS','t$ua')
| 'c$uin'('v$uxa','c$uTarski$uOpotype$uOpset'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'t$ua') ),
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c3,plain,
( 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$uin'('c$uPair'('c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'v$uxa','t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c4,plain,
( ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'('c$uPair'('c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'v$uxa','t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_6]) ).
cnf(c5,plain,
( 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$uin'(X0,'v$uS','t$ua')
| 'c$uin'('c$uPair'(X0,'v$uxa','t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua')) ),
inference(clausification,[status(esa)],[cls_conjecture_9]) ).
cnf(c6,plain,
( 'c$uin'(X0,X3,X2)
| ~ 'c$ulessequals'(X1,X3,'tc$uset'(X2))
| ~ 'c$uin'(X0,X1,X2) ),
inference(clausification,[status(esa)],[cls_Set_OsubsetD_0]) ).
cnf(c7,plain,
'v$uA' = 'c$uTarski$uOpotype$uOpset'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),
inference(clausification,[status(esa)],[cls_Tarski_OA_A_61_61_Apset_Acl_0]) ).
cnf(c8,plain,
( 'c$uin'('v$usko$u$u4mP'(X0,X1,'v$ur'),X1,'t$ua')
| 'c$uin'('c$uPair'('c$uTarski$uOlub'(X1,'v$ucl','t$ua'),X0,'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$ulessequals'(X1,'v$uA','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,'v$uA','t$ua') ),
inference(clausification,[status(esa)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_0]) ).
cnf(c9,plain,
( 'c$uin'('c$uPair'('c$uTarski$uOlub'(X1,'v$ucl','t$ua'),X0,'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$ulessequals'(X1,'v$uA','tc$uset'('t$ua'))
| ~ 'c$uin'('c$uPair'('v$usko$u$u4mP'(X0,X1,'v$ur'),X0,'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'(X0,'v$uA','t$ua') ),
inference(clausification,[status(esa)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_AL1_A_58_AA_59_AALL_Ax_58S1_O_A_Ix_M_AL1_J_A_58_Ar_A_124_93_A_61_61_62_A_Ilub_AS1_Acl_M_AL1_J_A_58_Ar_A_61_61_ATrue_1]) ).
cnf(c10,plain,
( 'c$uin'('c$uPair'(X0,'c$uTarski$uOlub'(X1,'v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$ulessequals'(X1,'v$uA','tc$uset'('t$ua'))
| ~ 'c$uin'(X0,X1,'t$ua') ),
inference(clausification,[status(esa)],[cls_Tarski_O_91_124_AS1_A_60_61_AA_59_Ax1_A_58_AS1_A_124_93_A_61_61_62_A_Ix1_M_Alub_AS1_Acl_J_A_58_Ar_A_61_61_ATrue_0]) ).
cnf(c11,plain,
'v$ur' = 'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),
inference(clausification,[status(esa)],[cls_Tarski_Or_A_61_61_Aorder_Acl_0]) ).
cnf(d0,plain,
( ~ 'c$uin'('c$uPair'('c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'v$uxa','t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ),
inference(demodulation,[status(thm)],[c4,c11]) ).
cnf(d1,plain,
( ~ 'c$uin'('c$uPair'('c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'v$uxa','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ),
inference(demodulation,[status(thm)],[d0,c11]) ).
cnf(d2,plain,
( ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'c$uTarski$uOpotype$uOorder'('v$ucl','t$ua','tc$uProduct$u$uType$uOunit'),'tc$uprod'('t$ua','t$ua'))
| 'c$uin'('c$uPair'(X0,'v$uxa','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'(X0,'v$uS','t$ua') ),
inference(demodulation,[status(thm)],[c1,c11]) ).
cnf(d3,plain,
( ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| 'c$uin'('c$uPair'(X0,'v$uxa','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'(X0,'v$uS','t$ua') ),
inference(demodulation,[status(thm)],[d2,c11]) ).
cnf(d4,plain,
( ~ 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua'))
| 'c$uin'('c$uPair'(X0,'v$uxa','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'(X0,'v$uS','t$ua') ),
inference(resolution,[status(thm)],[d3,c10]) ).
cnf(d5,plain,
( ~ 'c$uin'('v$uxa','v$uS','t$ua')
| 'c$uin'('c$uPair'(X0,'v$uxa','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'(X0,'v$uS','t$ua') ),
inference(resolution,[status(thm)],[c0,d4]) ).
cnf(d6,plain,
( 'c$uin'('c$uPair'('c$uTarski$uOlub'(X0,'v$ucl','t$ua'),'v$uxa','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| ~ 'c$ulessequals'(X0,'v$uA','tc$uset'('t$ua'))
| ~ 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$uin'('v$usko$u$u4mP'('v$uxa',X0,'v$ur'),'v$uS','t$ua') ),
inference(resolution,[status(thm)],[d5,c9]) ).
cnf(d7,plain,
( ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| ~ 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d6,d1]) ).
cnf(d8,plain,
( ~ 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| ~ 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ),
inference(resolution,[status(thm)],[c0,d7]) ).
cnf(d9,plain,
( 'c$uin'('v$uxa','v$uA','t$ua')
| 'c$uin'('v$uxa','v$uS','t$ua') ),
inference(demodulation,[status(thm)],[c2,c7]) ).
cnf(d10,plain,
( 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$uin'('c$uPair'('c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'v$uxa','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ),
inference(demodulation,[status(thm)],[c3,c11]) ).
cnf(d11,plain,
( 'c$uin'('v$uxa','v$uS','t$ua')
| 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| ~ 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[c8,d10]) ).
cnf(d12,plain,
( 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| 'c$uin'('v$uxa','v$uS','t$ua') ),
inference(resolution,[status(thm)],[c0,d11]) ).
cnf(d13,plain,
( 'c$uin'('v$uxa','v$uS','t$ua')
| 'c$uin'('c$uPair'(X0,'v$uxa','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'(X0,'v$uS','t$ua') ),
inference(demodulation,[status(thm)],[c5,c11]) ).
cnf(d14,plain,
( 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$uin'('v$usko$u$u4mP'('v$uxa',X0,'v$ur'),'v$uS','t$ua')
| 'c$uin'('c$uPair'('c$uTarski$uOlub'(X0,'v$ucl','t$ua'),'v$uxa','t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| ~ 'c$ulessequals'(X0,'v$uA','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[c9,d13]) ).
cnf(d15,plain,
( 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d14,d10]) ).
cnf(d16,plain,
( ~ 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| 'c$uin'('v$uxa','v$uS','t$ua') ),
inference(resolution,[status(thm)],[c0,d15]) ).
cnf(d17,plain,
( ~ 'c$uin'('v$uxa','v$uA','t$ua')
| 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| 'c$uin'('v$uxa','v$uS','t$ua') ),
inference(resolution,[status(thm)],[d16,d12]) ).
cnf(d18,plain,
( 'c$uin'('v$uxa','v$uS','t$ua')
| 'c$uin'('v$uxa','v$uS','t$ua') ),
inference(resolution,[status(thm)],[d17,d9]) ).
cnf(d19,plain,
( ~ 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ),
inference(resolution,[status(thm)],[d18,d8]) ).
cnf(d20,plain,
( ~ 'c$uin'(X0,'v$uS','t$ua')
| 'c$uin'(X0,'v$uA','t$ua') ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(d21,plain,
'c$uin'('v$uxa','v$uA','t$ua'),
inference(resolution,[status(thm)],[d18,d20]) ).
cnf(d22,plain,
( ~ 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ),
inference(resolution,[status(thm)],[d21,d19]) ).
cnf(d23,plain,
( ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua'))
| 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| ~ 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[c8,d1]) ).
cnf(d24,plain,
( 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| ~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')) ),
inference(resolution,[status(thm)],[c0,d23]) ).
cnf(d25,plain,
( ~ 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua'))
| 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua') ),
inference(resolution,[status(thm)],[d24,c10]) ).
cnf(d26,plain,
( 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua')
| ~ 'c$uin'('v$uxa','v$uS','t$ua') ),
inference(resolution,[status(thm)],[c0,d25]) ).
cnf(d27,plain,
( 'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua')
| ~ 'c$uin'('v$uxa','v$uA','t$ua') ),
inference(resolution,[status(thm)],[d18,d26]) ).
cnf(d28,plain,
'c$uin'('v$usko$u$u4mP'('v$uxa','v$uS','v$ur'),'v$uS','t$ua'),
inference(resolution,[status(thm)],[d21,d27]) ).
cnf(d29,plain,
~ 'c$uin'('c$uPair'('v$uxa','c$uTarski$uOlub'('v$uS','v$ucl','t$ua'),'t$ua','t$ua'),'v$ur','tc$uprod'('t$ua','t$ua')),
inference(resolution,[status(thm)],[d28,d22]) ).
cnf(d30,plain,
( ~ 'c$uin'('v$uxa','v$uS','t$ua')
| ~ 'c$ulessequals'('v$uS','v$uA','tc$uset'('t$ua')) ),
inference(resolution,[status(thm)],[d29,c10]) ).
cnf(d31,plain,
~ 'c$uin'('v$uxa','v$uS','t$ua'),
inference(resolution,[status(thm)],[c0,d30]) ).
cnf(d32,plain,
$false,
inference(resolution,[status(thm)],[d18,d31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT276-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 20:23:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.53/2.53 % SZS status Unsatisfiable for theBenchmark.p
% 12.53/2.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------