%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : ANA034-10 : TPTP v9.3.1. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 06:50:41 AM UTC 2026
% Result : Unsatisfiable 12.81s 2.12s
% Output : CNFRefutation 12.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of clauses : 69 ( 69 unt; 0 nHn; 33 RR)
% Number of literals : 69 ( 68 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 6 con; 0-4 aty)
% Number of variables : 74 ( 10 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ifeq_axiom,axiom,
ifeq2(X0,X0,X1,X2) = X1 ).
cnf(ifeq_axiom_001,axiom,
ifeq(X0,X0,X1,X2) = X1 ).
cnf(cls_Ring__and__Field_Oabs__mult_0,axiom,
ifeq2('class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0),true,'c$utimes'('c$uHOL$uOabs'(X1,X0),'c$uHOL$uOabs'(X2,X0),X0),'c$uHOL$uOabs'('c$utimes'(X1,X2,X0),X0)) = 'c$uHOL$uOabs'('c$utimes'(X1,X2,X0),X0) ).
cnf(cls_Ring__and__Field_Omult__mono_0,axiom,
ifeq('c$ulessequals'('c$u0',X0,X1),true,ifeq('c$ulessequals'('c$u0',X2,X1),true,ifeq('c$ulessequals'(X3,X0,X1),true,ifeq('c$ulessequals'(X2,X4,X1),true,ifeq('class$uRing$u$uand$u$uField$uOpordered$u$usemiring'(X1),true,'c$ulessequals'('c$utimes'(X3,X2,X1),'c$utimes'(X0,X4,X1),X1),true),true),true),true),true) = true ).
cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
ifeq('class$uRing$u$uand$u$uField$uOpordered$u$ucancel$u$usemiring'(X0),true,ifeq('c$ulessequals'('c$u0',X1,X0),true,ifeq('c$ulessequals'('c$u0',X2,X0),true,'c$ulessequals'('c$u0','c$utimes'(X1,X2,X0),X0),true),true),true) = true ).
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
ifeq('c$uless'(X0,X1,X2),true,ifeq('class$uOrderings$uOorder'(X2),true,'c$ulessequals'(X0,X1,X2),true),true) = true ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
ifeq('class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'(X0),true,'c$ulessequals'('c$u0','c$uHOL$uOabs'(X1,X0),X0),true) = true ).
cnf(cls_conjecture_0,negated_conjecture,
'c$uless'('c$u0','v$uc','t$ub') = true ).
cnf(cls_conjecture_2,negated_conjecture,
'c$ulessequals'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),'c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'t$ub') = true ).
cnf(cls_conjecture_3,negated_conjecture,
'c$ulessequals'('c$uHOL$uOabs'('v$ub'('v$ux'),'t$ub'),'c$utimes'('v$uca','c$uHOL$uOabs'('v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub') = true ).
cnf(cls_conjecture_4,negated_conjecture,
'c$utimes'('c$utimes'('v$uc','v$uca','t$ub'),'c$uHOL$uOabs'('c$utimes'('v$uf'('v$ux'),'v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub') = 'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('v$uca','c$uHOL$uOabs'('v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub') ).
cnf(cls_conjecture_5,negated_conjecture,
'c$ulessequals'('c$uHOL$uOabs'('c$utimes'('v$ua'('v$ux'),'v$ub'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('c$utimes'('v$uc','v$uca','t$ub'),'c$uHOL$uOabs'('c$utimes'('v$uf'('v$ux'),'v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub'),'t$ub') != true ).
cnf(tfree_tcs,negated_conjecture,
'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ub') = true ).
cnf(clsrel_OrderedGroup_Olordered__ab__group__abs_17,axiom,
ifeq('class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'(X0),true,'class$uOrderings$uOorder'(X0),true) = true ).
cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
ifeq('class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0),true,'class$uRing$u$uand$u$uField$uOpordered$u$ucancel$u$usemiring'(X0),true) = true ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
ifeq('class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0),true,'class$uRing$u$uand$u$uField$uOpordered$u$usemiring'(X0),true) = true ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
ifeq('class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0),true,'class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'(X0),true) = true ).
cnf(c0,plain,
ifeq2(X0,X0,X1,X2) = X1,
inference(clausification,[status(esa)],[ifeq_axiom]) ).
cnf(c1,plain,
ifeq(X0,X0,X1,X2) = X1,
inference(clausification,[status(esa)],[ifeq_axiom_001]) ).
cnf(c2,plain,
ifeq2('class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0),true,'c$utimes'('c$uHOL$uOabs'(X1,X0),'c$uHOL$uOabs'(X2,X0),X0),'c$uHOL$uOabs'('c$utimes'(X1,X2,X0),X0)) = 'c$uHOL$uOabs'('c$utimes'(X1,X2,X0),X0),
inference(clausification,[status(esa)],[cls_Ring__and__Field_Oabs__mult_0]) ).
cnf(c3,plain,
ifeq('c$ulessequals'('c$u0',X0,X1),true,ifeq('c$ulessequals'('c$u0',X2,X1),true,ifeq('c$ulessequals'(X3,X0,X1),true,ifeq('c$ulessequals'(X2,X4,X1),true,ifeq('class$uRing$u$uand$u$uField$uOpordered$u$usemiring'(X1),true,'c$ulessequals'('c$utimes'(X3,X2,X1),'c$utimes'(X0,X4,X1),X1),true),true),true),true),true) = true,
inference(clausification,[status(esa)],[cls_Ring__and__Field_Omult__mono_0]) ).
cnf(c4,plain,
ifeq('class$uRing$u$uand$u$uField$uOpordered$u$ucancel$u$usemiring'(X0),true,ifeq('c$ulessequals'('c$u0',X1,X0),true,ifeq('c$ulessequals'('c$u0',X2,X0),true,'c$ulessequals'('c$u0','c$utimes'(X1,X2,X0),X0),true),true),true) = true,
inference(clausification,[status(esa)],[cls_Ring__and__Field_Omult__nonneg__nonneg_0]) ).
cnf(c5,plain,
ifeq('c$uless'(X0,X1,X2),true,ifeq('class$uOrderings$uOorder'(X2),true,'c$ulessequals'(X0,X1,X2),true),true) = true,
inference(clausification,[status(esa)],[cls_Orderings_Oorder__less__imp__le_0]) ).
cnf(c6,plain,
ifeq('class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'(X0),true,'c$ulessequals'('c$u0','c$uHOL$uOabs'(X1,X0),X0),true) = true,
inference(clausification,[status(esa)],[cls_OrderedGroup_Oabs__ge__zero_0]) ).
cnf(c7,plain,
'c$uless'('c$u0','v$uc','t$ub') = true,
inference(clausification,[status(esa)],[cls_conjecture_0]) ).
cnf(c8,plain,
'c$ulessequals'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),'c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'t$ub') = true,
inference(clausification,[status(esa)],[cls_conjecture_2]) ).
cnf(c9,plain,
'c$ulessequals'('c$uHOL$uOabs'('v$ub'('v$ux'),'t$ub'),'c$utimes'('v$uca','c$uHOL$uOabs'('v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub') = true,
inference(clausification,[status(esa)],[cls_conjecture_3]) ).
cnf(c10,plain,
'c$utimes'('c$utimes'('v$uc','v$uca','t$ub'),'c$uHOL$uOabs'('c$utimes'('v$uf'('v$ux'),'v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub') = 'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('v$uca','c$uHOL$uOabs'('v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub'),
inference(clausification,[status(esa)],[cls_conjecture_4]) ).
cnf(c11,plain,
'c$ulessequals'('c$uHOL$uOabs'('c$utimes'('v$ua'('v$ux'),'v$ub'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('c$utimes'('v$uc','v$uca','t$ub'),'c$uHOL$uOabs'('c$utimes'('v$uf'('v$ux'),'v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub'),'t$ub') != true,
inference(clausification,[status(esa)],[cls_conjecture_5]) ).
cnf(c12,plain,
'class$uRing$u$uand$u$uField$uOordered$u$uidom'('t$ub') = true,
inference(clausification,[status(esa)],[tfree_tcs]) ).
cnf(c13,plain,
ifeq('class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'(X0),true,'class$uOrderings$uOorder'(X0),true) = true,
inference(clausification,[status(esa)],[clsrel_OrderedGroup_Olordered__ab__group__abs_17]) ).
cnf(c14,plain,
ifeq('class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0),true,'class$uRing$u$uand$u$uField$uOpordered$u$ucancel$u$usemiring'(X0),true) = true,
inference(clausification,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_40]) ).
cnf(c15,plain,
ifeq('class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0),true,'class$uRing$u$uand$u$uField$uOpordered$u$usemiring'(X0),true) = true,
inference(clausification,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_42]) ).
cnf(c16,plain,
ifeq('class$uRing$u$uand$u$uField$uOordered$u$uidom'(X0),true,'class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'(X0),true) = true,
inference(clausification,[status(esa)],[clsrel_Ring__and__Field_Oordered__idom_50]) ).
cnf(d0,plain,
ifeq2(true,true,'c$utimes'('c$uHOL$uOabs'(X0,'t$ub'),'c$uHOL$uOabs'(X1,'t$ub'),'t$ub'),'c$uHOL$uOabs'('c$utimes'(X0,X1,'t$ub'),'t$ub')) = 'c$uHOL$uOabs'('c$utimes'(X0,X1,'t$ub'),'t$ub'),
inference(superposition,[status(thm)],[c12,c2]) ).
cnf(d1,plain,
'c$utimes'('c$uHOL$uOabs'(X0,'t$ub'),'c$uHOL$uOabs'(X1,'t$ub'),'t$ub') = 'c$uHOL$uOabs'('c$utimes'(X0,X1,'t$ub'),'t$ub'),
inference(demodulation,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
ifeq(true,true,'class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'('t$ub'),true) = true,
inference(superposition,[status(thm)],[c12,c16]) ).
cnf(d3,plain,
'class$uOrderedGroup$uOlordered$u$uab$u$ugroup$u$uabs'('t$ub') = true,
inference(demodulation,[status(thm)],[d2,c1]) ).
cnf(d4,plain,
ifeq(true,true,'c$ulessequals'('c$u0','c$uHOL$uOabs'(X0,'t$ub'),'t$ub'),true) = true,
inference(superposition,[status(thm)],[d3,c6]) ).
cnf(d5,plain,
'c$ulessequals'('c$u0','c$uHOL$uOabs'(X0,'t$ub'),'t$ub') = true,
inference(demodulation,[status(thm)],[d4,c1]) ).
cnf(d6,plain,
ifeq(true,true,'class$uRing$u$uand$u$uField$uOpordered$u$ucancel$u$usemiring'('t$ub'),true) = true,
inference(superposition,[status(thm)],[c12,c14]) ).
cnf(d7,plain,
'class$uRing$u$uand$u$uField$uOpordered$u$ucancel$u$usemiring'('t$ub') = true,
inference(demodulation,[status(thm)],[d6,c1]) ).
cnf(d8,plain,
ifeq(true,true,ifeq('c$ulessequals'('c$u0',X0,'t$ub'),true,ifeq('c$ulessequals'('c$u0',X1,'t$ub'),true,'c$ulessequals'('c$u0','c$utimes'(X0,X1,'t$ub'),'t$ub'),true),true),true) = true,
inference(superposition,[status(thm)],[d7,c4]) ).
cnf(d9,plain,
ifeq('c$ulessequals'('c$u0',X0,'t$ub'),true,ifeq('c$ulessequals'('c$u0',X1,'t$ub'),true,'c$ulessequals'('c$u0','c$utimes'(X0,X1,'t$ub'),'t$ub'),true),true) = true,
inference(demodulation,[status(thm)],[d8,c1]) ).
cnf(d10,plain,
ifeq(true,true,'class$uOrderings$uOorder'('t$ub'),true) = true,
inference(superposition,[status(thm)],[d3,c13]) ).
cnf(d11,plain,
'class$uOrderings$uOorder'('t$ub') = true,
inference(demodulation,[status(thm)],[d10,c1]) ).
cnf(d12,plain,
ifeq(true,true,ifeq('class$uOrderings$uOorder'('t$ub'),true,'c$ulessequals'('c$u0','v$uc','t$ub'),true),true) = true,
inference(superposition,[status(thm)],[c7,c5]) ).
cnf(d13,plain,
ifeq('class$uOrderings$uOorder'('t$ub'),true,'c$ulessequals'('c$u0','v$uc','t$ub'),true) = true,
inference(demodulation,[status(thm)],[d12,c1]) ).
cnf(d14,plain,
ifeq(true,true,'c$ulessequals'('c$u0','v$uc','t$ub'),true) = true,
inference(demodulation,[status(thm)],[d13,d11]) ).
cnf(d15,plain,
'c$ulessequals'('c$u0','v$uc','t$ub') = true,
inference(demodulation,[status(thm)],[d14,c1]) ).
cnf(d16,plain,
ifeq(true,true,ifeq('c$ulessequals'('c$u0',X0,'t$ub'),true,'c$ulessequals'('c$u0','c$utimes'('v$uc',X0,'t$ub'),'t$ub'),true),true) = true,
inference(superposition,[status(thm)],[d15,d9]) ).
cnf(d17,plain,
ifeq('c$ulessequals'('c$u0',X0,'t$ub'),true,'c$ulessequals'('c$u0','c$utimes'('v$uc',X0,'t$ub'),'t$ub'),true) = true,
inference(demodulation,[status(thm)],[d16,c1]) ).
cnf(d18,plain,
ifeq(true,true,'c$ulessequals'('c$u0','c$utimes'('v$uc','c$uHOL$uOabs'(X0,'t$ub'),'t$ub'),'t$ub'),true) = true,
inference(superposition,[status(thm)],[d5,d17]) ).
cnf(d19,plain,
'c$ulessequals'('c$u0','c$utimes'('v$uc','c$uHOL$uOabs'(X0,'t$ub'),'t$ub'),'t$ub') = true,
inference(demodulation,[status(thm)],[d18,c1]) ).
cnf(d20,plain,
ifeq(true,true,'class$uRing$u$uand$u$uField$uOpordered$u$usemiring'('t$ub'),true) = true,
inference(superposition,[status(thm)],[c12,c15]) ).
cnf(d21,plain,
'class$uRing$u$uand$u$uField$uOpordered$u$usemiring'('t$ub') = true,
inference(demodulation,[status(thm)],[d20,c1]) ).
cnf(d22,plain,
ifeq('c$ulessequals'('c$u0','c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'t$ub'),true,ifeq('c$ulessequals'('c$u0',X0,'t$ub'),true,ifeq(true,true,ifeq('c$ulessequals'(X0,X1,'t$ub'),true,ifeq('class$uRing$u$uand$u$uField$uOpordered$u$usemiring'('t$ub'),true,'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),X0,'t$ub'),'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),X1,'t$ub'),'t$ub'),true),true),true),true),true) = true,
inference(superposition,[status(thm)],[c8,c3]) ).
cnf(d23,plain,
ifeq('c$ulessequals'('c$u0','c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'t$ub'),true,ifeq('c$ulessequals'('c$u0',X0,'t$ub'),true,ifeq('c$ulessequals'(X0,X1,'t$ub'),true,ifeq('class$uRing$u$uand$u$uField$uOpordered$u$usemiring'('t$ub'),true,'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),X0,'t$ub'),'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),X1,'t$ub'),'t$ub'),true),true),true),true) = true,
inference(demodulation,[status(thm)],[d22,c1]) ).
cnf(d24,plain,
ifeq('c$ulessequals'('c$u0','c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'t$ub'),true,ifeq('c$ulessequals'('c$u0',X0,'t$ub'),true,ifeq('c$ulessequals'(X0,X1,'t$ub'),true,ifeq(true,true,'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),X0,'t$ub'),'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),X1,'t$ub'),'t$ub'),true),true),true),true) = true,
inference(demodulation,[status(thm)],[d23,d21]) ).
cnf(d25,plain,
ifeq('c$ulessequals'('c$u0','c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'t$ub'),true,ifeq('c$ulessequals'('c$u0',X0,'t$ub'),true,ifeq('c$ulessequals'(X0,X1,'t$ub'),true,'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),X0,'t$ub'),'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),X1,'t$ub'),'t$ub'),true),true),true) = true,
inference(demodulation,[status(thm)],[d24,c1]) ).
cnf(d26,plain,
ifeq('c$ulessequals'('c$u0','c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'t$ub'),true,ifeq('c$ulessequals'('c$u0','c$uHOL$uOabs'('v$ub'('v$ux'),'t$ub'),'t$ub'),true,ifeq(true,true,'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),'c$uHOL$uOabs'('v$ub'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('v$uca','c$uHOL$uOabs'('v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub'),'t$ub'),true),true),true) = true,
inference(superposition,[status(thm)],[c9,d25]) ).
cnf(d27,plain,
ifeq(true,true,ifeq('c$ulessequals'('c$u0','c$uHOL$uOabs'('v$ub'('v$ux'),'t$ub'),'t$ub'),true,ifeq(true,true,'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),'c$uHOL$uOabs'('v$ub'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('v$uca','c$uHOL$uOabs'('v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub'),'t$ub'),true),true),true) = true,
inference(demodulation,[status(thm)],[d26,d19]) ).
cnf(d28,plain,
ifeq('c$ulessequals'('c$u0','c$uHOL$uOabs'('v$ub'('v$ux'),'t$ub'),'t$ub'),true,ifeq(true,true,'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),'c$uHOL$uOabs'('v$ub'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('v$uca','c$uHOL$uOabs'('v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub'),'t$ub'),true),true) = true,
inference(demodulation,[status(thm)],[d27,c1]) ).
cnf(d29,plain,
ifeq(true,true,ifeq(true,true,'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),'c$uHOL$uOabs'('v$ub'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('v$uca','c$uHOL$uOabs'('v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub'),'t$ub'),true),true) = true,
inference(demodulation,[status(thm)],[d28,d5]) ).
cnf(d30,plain,
ifeq(true,true,'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),'c$uHOL$uOabs'('v$ub'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('v$uca','c$uHOL$uOabs'('v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub'),'t$ub'),true) = true,
inference(demodulation,[status(thm)],[d29,c1]) ).
cnf(d31,plain,
'c$ulessequals'('c$utimes'('c$uHOL$uOabs'('v$ua'('v$ux'),'t$ub'),'c$uHOL$uOabs'('v$ub'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('v$uca','c$uHOL$uOabs'('v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub'),'t$ub') = true,
inference(demodulation,[status(thm)],[d30,c1]) ).
cnf(d32,plain,
'c$ulessequals'('c$uHOL$uOabs'('c$utimes'('v$ua'('v$ux'),'v$ub'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('c$utimes'('v$uc','c$uHOL$uOabs'('v$uf'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('v$uca','c$uHOL$uOabs'('v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub'),'t$ub') = true,
inference(demodulation,[status(thm)],[d31,d1]) ).
cnf(d33,plain,
'c$ulessequals'('c$uHOL$uOabs'('c$utimes'('v$ua'('v$ux'),'v$ub'('v$ux'),'t$ub'),'t$ub'),'c$utimes'('c$utimes'('v$uc','v$uca','t$ub'),'c$uHOL$uOabs'('c$utimes'('v$uf'('v$ux'),'v$ug'('v$ux'),'t$ub'),'t$ub'),'t$ub'),'t$ub') = true,
inference(demodulation,[status(thm)],[d32,c10]) ).
cnf(d34,plain,
$false,
inference(resolution,[status(thm)],[c11,d33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA034-10 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.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 : Sat Sep 26 22:11:11 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.81/2.12 % SZS status Unsatisfiable for theBenchmark.p
% 12.81/2.12 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------