%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : FLD017-3 : 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 : n013.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 07:10:46 AM UTC 2026
% Result : Unsatisfiable 13.02s 2.81s
% Output : CNFRefutation 13.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 22 ( 12 unt; 0 nHn; 22 RR)
% Number of literals : 37 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(b_is_defined,hypothesis,
defined(b) ).
cnf(sum_5,negated_conjecture,
sum('additive$uidentity',a,x) ).
cnf(sum_6,negated_conjecture,
sum(a,b,c) ).
cnf(not_sum_7,negated_conjecture,
~ sum(x,b,c) ).
cnf(associativity_addition_1,axiom,
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ) ).
cnf(existence_of_identity_addition,axiom,
( ~ defined(X0)
| sum('additive$uidentity',X0,X0) ) ).
cnf(commutativity_addition,axiom,
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ) ).
cnf(c1,plain,
defined(b),
inference(clausification,[status(esa)],[b_is_defined]) ).
cnf(c4,plain,
sum('additive$uidentity',a,x),
inference(clausification,[status(esa)],[sum_5]) ).
cnf(c5,plain,
sum(a,b,c),
inference(clausification,[status(esa)],[sum_6]) ).
cnf(c6,plain,
~ sum(x,b,c),
inference(clausification,[status(esa)],[not_sum_7]) ).
cnf(c7,plain,
( ~ sum(X4,X5,X2)
| ~ sum(X3,X5,X1)
| ~ sum(X0,X3,X4)
| sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[associativity_addition_1]) ).
cnf(c9,plain,
( ~ defined(X0)
| sum('additive$uidentity',X0,X0) ),
inference(clausification,[status(esa)],[existence_of_identity_addition]) ).
cnf(c11,plain,
( ~ sum(X1,X0,X2)
| sum(X0,X1,X2) ),
inference(clausification,[status(esa)],[commutativity_addition]) ).
cnf(d0,plain,
( ~ defined(X0)
| sum(X0,'additive$uidentity',X0) ),
inference(resolution,[status(thm)],[c11,c9]) ).
cnf(d1,plain,
sum(b,a,c),
inference(resolution,[status(thm)],[c11,c5]) ).
cnf(d2,plain,
( ~ sum(X2,'additive$uidentity',X0)
| sum(X2,x,X1)
| ~ sum(X0,a,X1) ),
inference(resolution,[status(thm)],[c7,c4]) ).
cnf(d3,plain,
( ~ sum(X0,'additive$uidentity',b)
| sum(X0,x,c) ),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
( ~ defined(b)
| sum(b,x,c) ),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
sum(b,x,c),
inference(resolution,[status(thm)],[c1,d4]) ).
cnf(d6,plain,
sum(x,b,c),
inference(resolution,[status(thm)],[d5,c11]) ).
cnf(d7,plain,
$false,
inference(resolution,[status(thm)],[c6,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : FLD017-3 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 02:21:36 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.02/2.81 % SZS status Unsatisfiable for theBenchmark.p
% 13.02/2.81 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------