%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% 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 08:03:17 AM UTC 2026
% Result : Unsatisfiable 13.10s 2.24s
% Output : CNFRefutation 13.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of clauses : 21 ( 11 unt; 0 nHn; 21 RR)
% Number of literals : 37 ( 0 equ; 26 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(true_is_true,axiom,
value(truth,truth) ).
cnf(false_is_false,axiom,
value(falsity,falsity) ).
cnf(true_xor_true,axiom,
( value(xor(X0,X1),falsity)
| ~ value(X1,truth)
| ~ value(X0,truth) ) ).
cnf(true_xor_false,axiom,
( value(xor(X0,X1),truth)
| ~ value(X1,falsity)
| ~ value(X0,truth) ) ).
cnf(false_xor_false,axiom,
( value(xor(X0,X1),falsity)
| ~ value(X1,falsity)
| ~ value(X0,falsity) ) ).
cnf(evaluate_expression,negated_conjecture,
~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X0) ).
cnf(c0,plain,
value(truth,truth),
inference(clausification,[status(esa)],[true_is_true]) ).
cnf(c1,plain,
value(falsity,falsity),
inference(clausification,[status(esa)],[false_is_false]) ).
cnf(c2,plain,
( value(xor(X0,X1),falsity)
| ~ value(X1,truth)
| ~ value(X0,truth) ),
inference(clausification,[status(esa)],[true_xor_true]) ).
cnf(c3,plain,
( value(xor(X0,X1),truth)
| ~ value(X1,falsity)
| ~ value(X0,truth) ),
inference(clausification,[status(esa)],[true_xor_false]) ).
cnf(c5,plain,
( value(xor(X0,X1),falsity)
| ~ value(X1,falsity)
| ~ value(X0,falsity) ),
inference(clausification,[status(esa)],[false_xor_false]) ).
cnf(c6,plain,
~ value(xor(xor(xor(xor(truth,falsity),falsity),truth),falsity),X0),
inference(clausification,[status(esa)],[evaluate_expression]) ).
cnf(d0,plain,
( ~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity)
| ~ value(falsity,falsity) ),
inference(resolution,[status(thm)],[c5,c6]) ).
cnf(d1,plain,
~ value(xor(xor(xor(truth,falsity),falsity),truth),falsity),
inference(resolution,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
( ~ value(xor(xor(truth,falsity),falsity),truth)
| ~ value(truth,truth) ),
inference(resolution,[status(thm)],[d1,c2]) ).
cnf(d3,plain,
~ value(xor(xor(truth,falsity),falsity),truth),
inference(resolution,[status(thm)],[c0,d2]) ).
cnf(d4,plain,
( ~ value(xor(truth,falsity),truth)
| ~ value(falsity,falsity) ),
inference(resolution,[status(thm)],[d3,c3]) ).
cnf(d5,plain,
~ value(xor(truth,falsity),truth),
inference(resolution,[status(thm)],[c1,d4]) ).
cnf(d6,plain,
( ~ value(truth,truth)
| ~ value(falsity,falsity) ),
inference(resolution,[status(thm)],[d5,c3]) ).
cnf(d7,plain,
~ value(falsity,falsity),
inference(resolution,[status(thm)],[c0,d6]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[c1,d7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : MSC005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n020.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 00:15:34 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.10/2.24 % SZS status Unsatisfiable for theBenchmark.p
% 13.10/2.24 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------