%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWX206-1 : 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 : 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 09:15:39 AM UTC 2026
% Result : Unsatisfiable 9.68s 1.62s
% Output : CNFRefutation 9.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 21 unt; 0 nHn; 11 RR)
% Number of literals : 21 ( 20 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom,axiom,
impl(btrue,X0) = X0 ).
cnf(axiom_002,axiom,
x2(z,X0) = X0 ).
cnf(axiom_004,axiom,
'plus$unot$uidem'(X0) = impl(eq(x2(X0,X0),X0),eq2(btrue,bfalse)) ).
cnf(axiom_006,axiom,
eq2(btrue,bfalse) = bfalse ).
cnf(axiom_010,axiom,
eq(X0,X0) = btrue ).
cnf(axiom_011,axiom,
eq2(X0,X0) = btrue ).
cnf(goal,negated_conjecture,
eq2('plus$unot$uidem'(X0),bfalse) != btrue ).
cnf(c0,plain,
impl(btrue,X0) = X0,
inference(clausification,[status(esa)],[axiom]) ).
cnf(c2,plain,
x2(z,X0) = X0,
inference(clausification,[status(esa)],[axiom_002]) ).
cnf(c4,plain,
'plus$unot$uidem'(X0) = impl(eq(x2(X0,X0),X0),eq2(btrue,bfalse)),
inference(clausification,[status(esa)],[axiom_004]) ).
cnf(c6,plain,
eq2(btrue,bfalse) = bfalse,
inference(clausification,[status(esa)],[axiom_006]) ).
cnf(c10,plain,
eq(X0,X0) = btrue,
inference(clausification,[status(esa)],[axiom_010]) ).
cnf(c11,plain,
eq2(X0,X0) = btrue,
inference(clausification,[status(esa)],[axiom_011]) ).
cnf(c12,plain,
eq2('plus$unot$uidem'(X0),bfalse) != btrue,
inference(clausification,[status(esa)],[goal]) ).
cnf(d0,plain,
'plus$unot$uidem'(z) = impl(eq(z,z),eq2(btrue,bfalse)),
inference(superposition,[status(thm)],[c2,c4]) ).
cnf(d1,plain,
'plus$unot$uidem'(z) = impl(btrue,eq2(btrue,bfalse)),
inference(demodulation,[status(thm)],[d0,c10]) ).
cnf(d2,plain,
'plus$unot$uidem'(z) = eq2(btrue,bfalse),
inference(demodulation,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
'plus$unot$uidem'(z) = bfalse,
inference(demodulation,[status(thm)],[d2,c6]) ).
cnf(d4,plain,
eq2(bfalse,bfalse) != btrue,
inference(superposition,[status(thm)],[d3,c12]) ).
cnf(d5,plain,
btrue != btrue,
inference(demodulation,[status(thm)],[d4,c11]) ).
cnf(d6,plain,
$false,
inference(equality_resolution,[status(thm)],[d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX206-1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 16:55:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.68/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 9.68/1.62 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------