%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWX233-1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 09:15:43 AM UTC 2026
% Result : Unsatisfiable 8.75s 1.60s
% Output : CNFRefutation 8.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 11 RR)
% Number of literals : 15 ( 14 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_006,axiom,
f(nil) = btrue ).
cnf(axiom_008,axiom,
prop1(X0) = eq(f(X0),bfalse) ).
cnf(axiom_010,axiom,
eq(btrue,bfalse) = bfalse ).
cnf(axiom_011,axiom,
eq(X0,X0) = btrue ).
cnf(goal,negated_conjecture,
eq(prop1(X0),bfalse) != btrue ).
cnf(c6,plain,
f(nil) = btrue,
inference(clausification,[status(esa)],[axiom_006]) ).
cnf(c8,plain,
prop1(X0) = eq(f(X0),bfalse),
inference(clausification,[status(esa)],[axiom_008]) ).
cnf(c10,plain,
eq(btrue,bfalse) = bfalse,
inference(clausification,[status(esa)],[axiom_010]) ).
cnf(c11,plain,
eq(X0,X0) = btrue,
inference(clausification,[status(esa)],[axiom_011]) ).
cnf(c12,plain,
eq(prop1(X0),bfalse) != btrue,
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
prop1(nil) = eq(btrue,bfalse),
inference(superposition,[status(thm)],[c6,c8]) ).
cnf(d1,plain,
prop1(nil) = bfalse,
inference(demodulation,[status(thm)],[d0,c10]) ).
cnf(d2,plain,
eq(bfalse,bfalse) != btrue,
inference(superposition,[status(thm)],[d1,c12]) ).
cnf(d3,plain,
btrue != btrue,
inference(demodulation,[status(thm)],[d2,c11]) ).
cnf(d4,plain,
$false,
inference(equality_resolution,[status(thm)],[d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX233-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.38 % DateTime : Sat Sep 26 17:05:45 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.75/1.60 % SZS status Unsatisfiable for theBenchmark.p
% 8.75/1.60 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------