%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWX190+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 : n003.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 09:15:36 AM UTC 2026
% Result : Theorem 30.69s 14.58s
% Output : CNFRefutation 30.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 7
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 61 ( 13 sgn 11 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_006,axiom,
! [X0,X1] : proj12(y(X0,X1)) = X0 ).
fof(axiom_008,axiom,
! [X0,X1,X2] : n(X0) != x(X1,X2) ).
fof(axiom_023,axiom,
! [X0,X1] : fail4(X0,X1) = y(opt(X0),opt(X1)) ).
fof(axiom_039,axiom,
! [X0] : d(n(X0)) = n(z) ).
fof(axiom_040,axiom,
! [X0,X1] : d(x(X0,X1)) = x(d(X0),d(X1)) ).
fof(axiom_050,axiom,
! [X0] : opt(x(n(z),X0)) = X0 ).
fof(goal_054,conjecture,
? [X0] : opt(d(X0)) != opt(d(opt(X0))) ).
fof(negated_conjecture,negated_conjecture,
~ ? [X0] : opt(d(X0)) != opt(d(opt(X0))),
inference(negate_conjecture,[status(cth)],[goal_054]) ).
cnf(c5,plain,
proj12(y(X0,X1)) = X0,
inference(clausification,[status(esa)],[axiom_006]) ).
cnf(c7,plain,
n(X0) != x(X1,X2),
inference(clausification,[status(esa)],[axiom_008]) ).
cnf(c22,plain,
fail4(X0,X1) = y(opt(X0),opt(X1)),
inference(clausification,[status(esa)],[axiom_023]) ).
cnf(c38,plain,
d(n(X0)) = n(z),
inference(clausification,[status(esa)],[axiom_039]) ).
cnf(c39,plain,
d(x(X0,X1)) = x(d(X0),d(X1)),
inference(clausification,[status(esa)],[axiom_040]) ).
cnf(c49,plain,
opt(x(n(z),X0)) = X0,
inference(clausification,[status(esa)],[axiom_050]) ).
cnf(c53,plain,
opt(d(X0)) = opt(d(opt(X0))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
d(x(n(X0),X1)) = x(n(z),d(X1)),
inference(superposition,[status(thm)],[c38,c39]) ).
cnf(d1,plain,
opt(d(x(n(z),X0))) = opt(d(X0)),
inference(superposition,[status(thm)],[c49,c53]) ).
cnf(d2,plain,
opt(x(n(z),d(X0))) = opt(d(X0)),
inference(demodulation,[status(thm)],[d1,d0]) ).
cnf(d3,plain,
d(X0) = opt(d(X0)),
inference(demodulation,[status(thm)],[d2,c49]) ).
cnf(d4,plain,
d(n(X0)) = opt(n(z)),
inference(superposition,[status(thm)],[c38,d3]) ).
cnf(d5,plain,
n(z) = opt(n(z)),
inference(demodulation,[status(thm)],[d4,c38]) ).
cnf(d6,plain,
proj12(fail4(X0,X1)) = opt(X0),
inference(superposition,[status(thm)],[c22,c5]) ).
cnf(d7,plain,
fail4(X1,d(opt(X0))) = y(opt(X1),opt(d(X0))),
inference(superposition,[status(thm)],[c53,c22]) ).
cnf(d8,plain,
fail4(X0,d(opt(X1))) = fail4(X0,d(X1)),
inference(demodulation,[status(thm)],[d7,c22]) ).
cnf(d9,plain,
fail4(X1,d(X0)) = fail4(X1,d(x(n(z),X0))),
inference(superposition,[status(thm)],[c49,d8]) ).
cnf(d10,plain,
fail4(X1,d(x(n(z),X0))) = y(opt(X1),opt(d(X0))),
inference(superposition,[status(thm)],[d1,c22]) ).
cnf(d11,plain,
fail4(X0,d(X1)) = y(opt(X0),opt(d(X1))),
inference(demodulation,[status(thm)],[d10,d9]) ).
cnf(d12,plain,
fail4(X0,d(X1)) = fail4(X0,d(X1)),
inference(demodulation,[status(thm)],[d11,c22]) ).
cnf(d13,plain,
fail4(X0,d(X1)) = fail4(X0,d(opt(X1))),
inference(superposition,[status(thm)],[d8,d12]) ).
cnf(d14,plain,
proj12(fail4(X0,d(X1))) = opt(X0),
inference(superposition,[status(thm)],[d13,d6]) ).
cnf(d15,plain,
opt(X0) = opt(X0),
inference(demodulation,[status(thm)],[d14,d6]) ).
cnf(d16,plain,
opt(d(X0)) = d(X0),
inference(superposition,[status(thm)],[d3,d15]) ).
cnf(d17,plain,
opt(n(z)) = d(n(X0)),
inference(superposition,[status(thm)],[c38,d16]) ).
cnf(d18,plain,
n(z) = d(n(X0)),
inference(demodulation,[status(thm)],[d17,d5]) ).
cnf(d19,plain,
opt(d(opt(X0))) = opt(d(X0)),
inference(superposition,[status(thm)],[c53,d15]) ).
cnf(d20,plain,
d(opt(X0)) = opt(d(X0)),
inference(demodulation,[status(thm)],[d19,d3]) ).
cnf(d21,plain,
d(opt(X0)) = d(X0),
inference(demodulation,[status(thm)],[d20,d3]) ).
cnf(d22,plain,
X0 = opt(x(n(z),X0)),
inference(superposition,[status(thm)],[c49,d15]) ).
cnf(d23,plain,
d(X0) = d(x(n(z),X0)),
inference(superposition,[status(thm)],[d22,d21]) ).
cnf(d24,plain,
d(X0) = x(n(z),d(X0)),
inference(demodulation,[status(thm)],[d23,d0]) ).
cnf(d25,plain,
n(X1) != d(X0),
inference(superposition,[status(thm)],[d24,c7]) ).
cnf(d26,plain,
$false,
inference(resolution,[status(thm)],[d25,d18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX190+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
% 0.10/10.39 % Computer : n003.cluster.edu
% 0.10/10.39 % Model : x86_64 x86_64
% 0.10/10.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.39 % Memory : 8046.5625MB
% 0.10/10.39 % OS : Linux 6.8.0-71-generic
% 0.10/10.39 % CPULimit : 300
% 0.10/10.39 % WCLimit : 300
% 0.10/10.39 % DateTime : Sat Sep 26 16:55:51 UTC 2026
% 0.10/10.40 % CPUTime :
% 0.10/10.40 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.69/14.58 % SZS status Theorem for theBenchmark.p
% 30.69/14.58 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------