↑ Up

LisaST---0.9.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : LisaST---0.9
% Problem  : FLD061-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n010.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 07:10:58 AM UTC 2026

% Result   : Unsatisfiable 58.34s 18.78s
% Output   : CNFRefutation 58.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   26
% Syntax   : Number of clauses     :  132 (  44 unt;   2 nHn; 132 RR)
%            Number of literals    :  277 (   0 equ; 145 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :  124 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(a_is_defined,hypothesis,
    defined(a) ).

cnf(b_is_defined,hypothesis,
    defined(b) ).

cnf(c_is_defined,hypothesis,
    defined(c) ).

cnf(d_is_defined,hypothesis,
    defined(d) ).

cnf(u_is_defined,hypothesis,
    defined(u) ).

cnf(v_is_defined,hypothesis,
    defined(v) ).

cnf(add_equals_u_7,negated_conjecture,
    equalish(add(a,c),u) ).

cnf(add_equals_v_8,negated_conjecture,
    equalish(add(d,b),v) ).

cnf(less_or_equal_9,negated_conjecture,
    'less$uor$uequal'(a,b) ).

cnf(less_or_equal_10,negated_conjecture,
    'less$uor$uequal'(c,d) ).

cnf(not_less_or_equal_11,negated_conjecture,
    ~ 'less$uor$uequal'(u,v) ).

cnf(existence_of_identity_addition,axiom,
    ( ~ defined(X0)
    | equalish(add('additive$uidentity',X0),X0) ) ).

cnf(existence_of_inverse_addition,axiom,
    ( ~ defined(X0)
    | equalish(add(X0,'additive$uinverse'(X0)),'additive$uidentity') ) ).

cnf(commutativity_addition,axiom,
    ( ~ defined(X1)
    | ~ defined(X0)
    | equalish(add(X0,X1),add(X1,X0)) ) ).

cnf(existence_of_identity_multiplication,axiom,
    ( ~ defined(X0)
    | equalish(multiply('multiplicative$uidentity',X0),X0) ) ).

cnf(commutativity_multiplication,axiom,
    ( ~ defined(X1)
    | ~ defined(X0)
    | equalish(multiply(X0,X1),multiply(X1,X0)) ) ).

cnf(well_definedness_of_additive_identity,axiom,
    defined('additive$uidentity') ).

cnf(well_definedness_of_multiplicative_identity,axiom,
    defined('multiplicative$uidentity') ).

cnf(antisymmetry_of_order_relation,axiom,
    ( ~ 'less$uor$uequal'(X1,X0)
    | ~ 'less$uor$uequal'(X0,X1)
    | equalish(X0,X1) ) ).

cnf(transitivity_of_order_relation,axiom,
    ( ~ 'less$uor$uequal'(X2,X1)
    | ~ 'less$uor$uequal'(X0,X2)
    | 'less$uor$uequal'(X0,X1) ) ).

cnf(totality_of_order_relation,axiom,
    ( ~ defined(X1)
    | ~ defined(X0)
    | 'less$uor$uequal'(X1,X0)
    | 'less$uor$uequal'(X0,X1) ) ).

cnf(compatibility_of_order_relation_and_addition,axiom,
    ( ~ 'less$uor$uequal'(X0,X2)
    | ~ defined(X1)
    | 'less$uor$uequal'(add(X0,X1),add(X2,X1)) ) ).

cnf(symmetry_of_equality,axiom,
    ( ~ equalish(X1,X0)
    | equalish(X0,X1) ) ).

cnf(transitivity_of_equality,axiom,
    ( ~ equalish(X2,X1)
    | ~ equalish(X0,X2)
    | equalish(X0,X1) ) ).

cnf(compatibility_of_equality_and_addition,axiom,
    ( ~ equalish(X0,X2)
    | ~ defined(X1)
    | equalish(add(X0,X1),add(X2,X1)) ) ).

cnf(compatibility_of_equality_and_order_relation,axiom,
    ( ~ equalish(X2,X0)
    | ~ 'less$uor$uequal'(X2,X1)
    | 'less$uor$uequal'(X0,X1) ) ).

cnf(c0,plain,
    defined(a),
    inference(clausification,[status(esa)],[a_is_defined]) ).

cnf(c1,plain,
    defined(b),
    inference(clausification,[status(esa)],[b_is_defined]) ).

cnf(c2,plain,
    defined(c),
    inference(clausification,[status(esa)],[c_is_defined]) ).

cnf(c3,plain,
    defined(d),
    inference(clausification,[status(esa)],[d_is_defined]) ).

cnf(c4,plain,
    defined(u),
    inference(clausification,[status(esa)],[u_is_defined]) ).

cnf(c5,plain,
    defined(v),
    inference(clausification,[status(esa)],[v_is_defined]) ).

cnf(c6,plain,
    equalish(add(a,c),u),
    inference(clausification,[status(esa)],[add_equals_u_7]) ).

cnf(c7,plain,
    equalish(add(d,b),v),
    inference(clausification,[status(esa)],[add_equals_v_8]) ).

cnf(c8,plain,
    'less$uor$uequal'(a,b),
    inference(clausification,[status(esa)],[less_or_equal_9]) ).

cnf(c9,plain,
    'less$uor$uequal'(c,d),
    inference(clausification,[status(esa)],[less_or_equal_10]) ).

cnf(c10,plain,
    ~ 'less$uor$uequal'(u,v),
    inference(clausification,[status(esa)],[not_less_or_equal_11]) ).

cnf(c12,plain,
    ( ~ defined(X0)
    | equalish(add('additive$uidentity',X0),X0) ),
    inference(clausification,[status(esa)],[existence_of_identity_addition]) ).

cnf(c13,plain,
    ( ~ defined(X0)
    | equalish(add(X0,'additive$uinverse'(X0)),'additive$uidentity') ),
    inference(clausification,[status(esa)],[existence_of_inverse_addition]) ).

cnf(c14,plain,
    ( ~ defined(X1)
    | equalish(add(X0,X1),add(X1,X0))
    | ~ defined(X0) ),
    inference(clausification,[status(esa)],[commutativity_addition]) ).

cnf(c16,plain,
    ( ~ defined(X0)
    | equalish(multiply('multiplicative$uidentity',X0),X0) ),
    inference(clausification,[status(esa)],[existence_of_identity_multiplication]) ).

cnf(c18,plain,
    ( ~ defined(X1)
    | equalish(multiply(X0,X1),multiply(X1,X0))
    | ~ defined(X0) ),
    inference(clausification,[status(esa)],[commutativity_multiplication]) ).

cnf(c21,plain,
    defined('additive$uidentity'),
    inference(clausification,[status(esa)],[well_definedness_of_additive_identity]) ).

cnf(c24,plain,
    defined('multiplicative$uidentity'),
    inference(clausification,[status(esa)],[well_definedness_of_multiplicative_identity]) ).

cnf(c26,plain,
    ( ~ 'less$uor$uequal'(X1,X0)
    | equalish(X0,X1)
    | ~ 'less$uor$uequal'(X0,X1) ),
    inference(clausification,[status(esa)],[antisymmetry_of_order_relation]) ).

cnf(c27,plain,
    ( ~ 'less$uor$uequal'(X1,X2)
    | 'less$uor$uequal'(X0,X2)
    | ~ 'less$uor$uequal'(X0,X1) ),
    inference(clausification,[status(esa)],[transitivity_of_order_relation]) ).

cnf(c28,plain,
    ( ~ defined(X1)
    | 'less$uor$uequal'(X1,X0)
    | 'less$uor$uequal'(X0,X1)
    | ~ defined(X0) ),
    inference(clausification,[status(esa)],[totality_of_order_relation]) ).

cnf(c29,plain,
    ( ~ 'less$uor$uequal'(X1,X2)
    | 'less$uor$uequal'(add(X1,X0),add(X2,X0))
    | ~ defined(X0) ),
    inference(clausification,[status(esa)],[compatibility_of_order_relation_and_addition]) ).

cnf(c32,plain,
    ( ~ equalish(X1,X0)
    | equalish(X0,X1) ),
    inference(clausification,[status(esa)],[symmetry_of_equality]) ).

cnf(c33,plain,
    ( ~ equalish(X1,X2)
    | equalish(X0,X2)
    | ~ equalish(X0,X1) ),
    inference(clausification,[status(esa)],[transitivity_of_equality]) ).

cnf(c34,plain,
    ( ~ equalish(X1,X2)
    | equalish(add(X1,X0),add(X2,X0))
    | ~ defined(X0) ),
    inference(clausification,[status(esa)],[compatibility_of_equality_and_addition]) ).

cnf(c36,plain,
    ( ~ equalish(X0,X2)
    | 'less$uor$uequal'(X2,X1)
    | ~ 'less$uor$uequal'(X0,X1) ),
    inference(clausification,[status(esa)],[compatibility_of_equality_and_order_relation]) ).

cnf(d0,plain,
    ( ~ defined(X2)
    | ~ defined(X1)
    | ~ equalish(X0,add(X2,X1))
    | equalish(X0,add(X1,X2)) ),
    inference(resolution,[status(thm)],[c33,c14]) ).

cnf(d1,plain,
    ( ~ defined(X1)
    | ~ equalish(X0,multiply('multiplicative$uidentity',X1))
    | equalish(X0,X1) ),
    inference(resolution,[status(thm)],[c33,c16]) ).

cnf(d2,plain,
    ( ~ defined(X0)
    | ~ defined('multiplicative$uidentity')
    | equalish(multiply(X0,'multiplicative$uidentity'),X0)
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[d1,c18]) ).

cnf(d3,plain,
    ( equalish(multiply(X0,'multiplicative$uidentity'),X0)
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[c24,d2]) ).

cnf(d4,plain,
    ( 'less$uor$uequal'(X0,b)
    | ~ equalish(a,X0) ),
    inference(resolution,[status(thm)],[c36,c8]) ).

cnf(d5,plain,
    ( equalish(X0,multiply(X0,'multiplicative$uidentity'))
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[d3,c32]) ).

cnf(d6,plain,
    ( 'less$uor$uequal'(multiply(a,'multiplicative$uidentity'),b)
    | ~ defined(a) ),
    inference(resolution,[status(thm)],[d5,d4]) ).

cnf(d7,plain,
    'less$uor$uequal'(multiply(a,'multiplicative$uidentity'),b),
    inference(resolution,[status(thm)],[c0,d6]) ).

cnf(d8,plain,
    ( ~ equalish(X0,add(a,c))
    | equalish(X0,u) ),
    inference(resolution,[status(thm)],[c33,c6]) ).

cnf(d9,plain,
    ( equalish(add(X0,c),u)
    | ~ equalish(X0,a)
    | ~ defined(c) ),
    inference(resolution,[status(thm)],[c34,d8]) ).

cnf(d10,plain,
    ( equalish(add(X0,c),u)
    | ~ equalish(X0,a) ),
    inference(resolution,[status(thm)],[c2,d9]) ).

cnf(d11,plain,
    ( ~ 'less$uor$uequal'(X0,X3)
    | ~ defined(X1)
    | 'less$uor$uequal'(X2,add(X3,X1))
    | ~ equalish(add(X0,X1),X2) ),
    inference(resolution,[status(thm)],[c36,c29]) ).

cnf(d12,plain,
    ( ~ equalish(X1,a)
    | ~ 'less$uor$uequal'(X1,X0)
    | 'less$uor$uequal'(u,add(X0,c))
    | ~ defined(c) ),
    inference(resolution,[status(thm)],[d11,d10]) ).

cnf(d13,plain,
    ( 'less$uor$uequal'(u,add(X1,c))
    | ~ 'less$uor$uequal'(X0,X1)
    | ~ equalish(X0,a) ),
    inference(resolution,[status(thm)],[c2,d12]) ).

cnf(d14,plain,
    ( 'less$uor$uequal'(u,add(b,c))
    | ~ equalish(multiply(a,'multiplicative$uidentity'),a) ),
    inference(resolution,[status(thm)],[d13,d7]) ).

cnf(d15,plain,
    ( ~ defined(a)
    | 'less$uor$uequal'(u,add(b,c)) ),
    inference(resolution,[status(thm)],[d14,d3]) ).

cnf(d16,plain,
    'less$uor$uequal'(u,add(b,c)),
    inference(resolution,[status(thm)],[c0,d15]) ).

cnf(d17,plain,
    ( ~ 'less$uor$uequal'(add(b,c),u)
    | equalish(add(b,c),u) ),
    inference(resolution,[status(thm)],[d16,c26]) ).

cnf(d18,plain,
    ( 'less$uor$uequal'(add(X1,X0),X3)
    | ~ 'less$uor$uequal'(add(X2,X0),X3)
    | ~ 'less$uor$uequal'(X1,X2)
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[c29,c27]) ).

cnf(d19,plain,
    equalish(v,add(d,b)),
    inference(resolution,[status(thm)],[c32,c7]) ).

cnf(d20,plain,
    ( ~ equalish(X0,v)
    | equalish(X0,add(d,b)) ),
    inference(resolution,[status(thm)],[c33,d19]) ).

cnf(d21,plain,
    ( equalish(add(d,b),X0)
    | ~ equalish(X0,v) ),
    inference(resolution,[status(thm)],[d20,c32]) ).

cnf(d22,plain,
    ( 'less$uor$uequal'(v,u)
    | ~ defined(v)
    | ~ defined(u) ),
    inference(resolution,[status(thm)],[c28,c10]) ).

cnf(d23,plain,
    ( 'less$uor$uequal'(v,u)
    | ~ defined(v) ),
    inference(resolution,[status(thm)],[c4,d22]) ).

cnf(d24,plain,
    'less$uor$uequal'(v,u),
    inference(resolution,[status(thm)],[c5,d23]) ).

cnf(d25,plain,
    ( 'less$uor$uequal'(X0,u)
    | ~ equalish(v,X0) ),
    inference(resolution,[status(thm)],[c36,d24]) ).

cnf(d26,plain,
    'less$uor$uequal'(add(d,b),u),
    inference(resolution,[status(thm)],[d25,d19]) ).

cnf(d27,plain,
    ( 'less$uor$uequal'(X0,u)
    | ~ equalish(add(d,b),X0) ),
    inference(resolution,[status(thm)],[d26,c36]) ).

cnf(d28,plain,
    ( ~ equalish(X0,v)
    | 'less$uor$uequal'(X0,u) ),
    inference(resolution,[status(thm)],[d27,d21]) ).

cnf(d29,plain,
    ( ~ equalish(X0,add(d,b))
    | equalish(X0,v) ),
    inference(resolution,[status(thm)],[c33,c7]) ).

cnf(d30,plain,
    ( equalish(add(X0,b),v)
    | ~ equalish(X0,d)
    | ~ defined(b) ),
    inference(resolution,[status(thm)],[c34,d29]) ).

cnf(d31,plain,
    ( equalish(add(X0,b),v)
    | ~ equalish(X0,d) ),
    inference(resolution,[status(thm)],[c1,d30]) ).

cnf(d32,plain,
    ( 'less$uor$uequal'(add(X0,b),u)
    | ~ equalish(X0,d) ),
    inference(resolution,[status(thm)],[d31,d28]) ).

cnf(d33,plain,
    ( 'less$uor$uequal'(add(X1,b),u)
    | ~ 'less$uor$uequal'(X1,X0)
    | ~ defined(b)
    | ~ equalish(X0,d) ),
    inference(resolution,[status(thm)],[d32,d18]) ).

cnf(d34,plain,
    ( 'less$uor$uequal'(add(X1,b),u)
    | ~ 'less$uor$uequal'(X1,X0)
    | ~ equalish(X0,d) ),
    inference(resolution,[status(thm)],[c1,d33]) ).

cnf(d35,plain,
    ( 'less$uor$uequal'(c,X0)
    | ~ 'less$uor$uequal'(d,X0) ),
    inference(resolution,[status(thm)],[c27,c9]) ).

cnf(d36,plain,
    ( equalish('additive$uidentity',add(X0,'additive$uinverse'(X0)))
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[c13,c32]) ).

cnf(d37,plain,
    ( 'less$uor$uequal'(X0,X0)
    | ~ defined(X0)
    | ~ defined(X0) ),
    inference(factoring,[status(thm)],[c28]) ).

cnf(d38,plain,
    ( ~ defined(X0)
    | 'less$uor$uequal'(X1,X0)
    | ~ equalish(X0,X1) ),
    inference(resolution,[status(thm)],[c36,d37]) ).

cnf(d39,plain,
    ( ~ defined(X0)
    | 'less$uor$uequal'(add(X0,'additive$uinverse'(X0)),'additive$uidentity')
    | ~ defined('additive$uidentity') ),
    inference(resolution,[status(thm)],[d38,d36]) ).

cnf(d40,plain,
    ( 'less$uor$uequal'(add(X0,'additive$uinverse'(X0)),'additive$uidentity')
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[c21,d39]) ).

cnf(d41,plain,
    ( 'less$uor$uequal'(X1,'additive$uidentity')
    | ~ equalish(add(X0,'additive$uinverse'(X0)),X1)
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[d40,c36]) ).

cnf(d42,plain,
    ( ~ defined(X0)
    | 'less$uor$uequal'('additive$uidentity','additive$uidentity')
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[d41,c13]) ).

cnf(d43,plain,
    'less$uor$uequal'('additive$uidentity','additive$uidentity'),
    inference(resolution,[status(thm)],[d42,c0]) ).

cnf(d44,plain,
    ( ~ defined(X1)
    | ~ equalish(X0,add('additive$uidentity',X1))
    | equalish(X0,X1) ),
    inference(resolution,[status(thm)],[c33,c12]) ).

cnf(d45,plain,
    ( ~ equalish(X1,'additive$uidentity')
    | ~ defined(X0)
    | equalish(add(X1,X0),X0)
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[d44,c34]) ).

cnf(d46,plain,
    ( ~ 'less$uor$uequal'(X1,X2)
    | 'less$uor$uequal'(X0,add(X2,X0))
    | ~ defined(X0)
    | ~ equalish(X1,'additive$uidentity')
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[d45,d11]) ).

cnf(d47,plain,
    ( 'less$uor$uequal'(X0,add('additive$uidentity',X0))
    | ~ equalish('additive$uidentity','additive$uidentity')
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[d46,d43]) ).

cnf(d48,plain,
    ( ~ defined(X1)
    | ~ equalish(X0,add(X1,'additive$uinverse'(X1)))
    | equalish(X0,'additive$uidentity') ),
    inference(resolution,[status(thm)],[c33,c13]) ).

cnf(d49,plain,
    ( ~ defined(X0)
    | equalish('additive$uidentity','additive$uidentity')
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[d48,d36]) ).

cnf(d50,plain,
    equalish('additive$uidentity','additive$uidentity'),
    inference(resolution,[status(thm)],[d49,c0]) ).

cnf(d51,plain,
    ( 'less$uor$uequal'(X0,add('additive$uidentity',X0))
    | ~ defined(X0) ),
    inference(resolution,[status(thm)],[d50,d47]) ).

cnf(d52,plain,
    ( 'less$uor$uequal'(c,add('additive$uidentity',d))
    | ~ defined(d) ),
    inference(resolution,[status(thm)],[d51,d35]) ).

cnf(d53,plain,
    'less$uor$uequal'(c,add('additive$uidentity',d)),
    inference(resolution,[status(thm)],[c3,d52]) ).

cnf(d54,plain,
    ( 'less$uor$uequal'(add(c,b),u)
    | ~ equalish(add('additive$uidentity',d),d) ),
    inference(resolution,[status(thm)],[d53,d34]) ).

cnf(d55,plain,
    ( ~ defined(d)
    | 'less$uor$uequal'(add(c,b),u) ),
    inference(resolution,[status(thm)],[d54,c12]) ).

cnf(d56,plain,
    'less$uor$uequal'(add(c,b),u),
    inference(resolution,[status(thm)],[c3,d55]) ).

cnf(d57,plain,
    ( 'less$uor$uequal'(X0,u)
    | ~ equalish(add(c,b),X0) ),
    inference(resolution,[status(thm)],[d56,c36]) ).

cnf(d58,plain,
    ( ~ defined(c)
    | ~ defined(b)
    | 'less$uor$uequal'(add(b,c),u) ),
    inference(resolution,[status(thm)],[d57,c14]) ).

cnf(d59,plain,
    ( 'less$uor$uequal'(add(b,c),u)
    | ~ defined(c) ),
    inference(resolution,[status(thm)],[c1,d58]) ).

cnf(d60,plain,
    'less$uor$uequal'(add(b,c),u),
    inference(resolution,[status(thm)],[c2,d59]) ).

cnf(d61,plain,
    equalish(add(b,c),u),
    inference(resolution,[status(thm)],[d60,d17]) ).

cnf(d62,plain,
    equalish(u,add(b,c)),
    inference(resolution,[status(thm)],[d61,c32]) ).

cnf(d63,plain,
    ( equalish(u,add(c,b))
    | ~ defined(c)
    | ~ defined(b) ),
    inference(resolution,[status(thm)],[d62,d0]) ).

cnf(d64,plain,
    ( equalish(u,add(c,b))
    | ~ defined(c) ),
    inference(resolution,[status(thm)],[c1,d63]) ).

cnf(d65,plain,
    equalish(u,add(c,b)),
    inference(resolution,[status(thm)],[c2,d64]) ).

cnf(d66,plain,
    equalish(add(c,b),u),
    inference(resolution,[status(thm)],[d65,c32]) ).

cnf(d67,plain,
    ( 'less$uor$uequal'(add(d,b),v)
    | ~ defined(v) ),
    inference(resolution,[status(thm)],[d38,d19]) ).

cnf(d68,plain,
    'less$uor$uequal'(add(d,b),v),
    inference(resolution,[status(thm)],[c5,d67]) ).

cnf(d69,plain,
    ( 'less$uor$uequal'(X0,v)
    | ~ equalish(add(d,b),X0) ),
    inference(resolution,[status(thm)],[d68,c36]) ).

cnf(d70,plain,
    ( ~ equalish(X0,v)
    | 'less$uor$uequal'(X0,v) ),
    inference(resolution,[status(thm)],[d69,d21]) ).

cnf(d71,plain,
    ( 'less$uor$uequal'(add(X0,b),v)
    | ~ equalish(X0,d) ),
    inference(resolution,[status(thm)],[d31,d70]) ).

cnf(d72,plain,
    ( 'less$uor$uequal'(add(X1,b),v)
    | ~ 'less$uor$uequal'(X1,X0)
    | ~ defined(b)
    | ~ equalish(X0,d) ),
    inference(resolution,[status(thm)],[d71,d18]) ).

cnf(d73,plain,
    ( 'less$uor$uequal'(add(X1,b),v)
    | ~ 'less$uor$uequal'(X1,X0)
    | ~ equalish(X0,d) ),
    inference(resolution,[status(thm)],[c1,d72]) ).

cnf(d74,plain,
    ( 'less$uor$uequal'(add(c,b),v)
    | ~ equalish(add('additive$uidentity',d),d) ),
    inference(resolution,[status(thm)],[d53,d73]) ).

cnf(d75,plain,
    ( ~ defined(d)
    | 'less$uor$uequal'(add(c,b),v) ),
    inference(resolution,[status(thm)],[d74,c12]) ).

cnf(d76,plain,
    'less$uor$uequal'(add(c,b),v),
    inference(resolution,[status(thm)],[c3,d75]) ).

cnf(d77,plain,
    ( 'less$uor$uequal'(X0,v)
    | ~ equalish(add(c,b),X0) ),
    inference(resolution,[status(thm)],[d76,c36]) ).

cnf(d78,plain,
    'less$uor$uequal'(u,v),
    inference(resolution,[status(thm)],[d77,d66]) ).

cnf(d79,plain,
    $false,
    inference(resolution,[status(thm)],[c10,d78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : FLD061-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04  % Command  : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37  % Computer : n010.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Sun Sep 27 02:33:30 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 58.34/18.78  % SZS status Unsatisfiable for theBenchmark.p
% 58.34/18.78  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------