%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWX190+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n006.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 : Fri Sep 25 03:32:04 PM UTC 2026
% Result : Theorem 17.22s 2.95s
% Output : Proof 17.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 43 ( 43 unt; 0 def)
% Number of atoms : 43 ( 42 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 63 ( 11 sgn 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f49,axiom,
! [E] : opt(x(n(z),E)) = E,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_050) ).
fof(f49_nnf,plain,
! [E] : opt(x(n(z),E)) = E,
inference(nnf_transformation,[status(thm)],[f49]) ).
fof(f49_sk,plain,
! [E] : opt(x(n(z),E)) = E,
inference(skolemisation,[status(esa)],[f49_nnf]) ).
cnf(c49,plain,
opt(x(n(z),X0)) = X0,
inference(cnf_transformation,[status(esa)],[f49_sk]) ).
fof(f38,axiom,
! [Y] : d(n(Y)) = n(z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_039) ).
fof(f38_nnf,plain,
! [Y] : d(n(Y)) = n(z),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [Y] : d(n(Y)) = n(z),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
d(n(X0)) = n(z),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
fof(f39,axiom,
! [F,G] : d(x(F,G)) = x(d(F),d(G)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_040) ).
fof(f39_nnf,plain,
! [F,G] : d(x(F,G)) = x(d(F),d(G)),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [F,G] : d(x(F,G)) = x(d(F),d(G)),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
d(x(X0,X1)) = x(d(X0),d(X1)),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(p138,plain,
d(x(n(X0),X1)) = x(n(z),d(X1)),
inference(superposition,[status(thm)],[c38,c39]) ).
fof(f53,conjecture,
? [E] : opt(d(E)) != opt(d(opt(E))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_054) ).
fof(f53_neg,negated_conjecture,
~ ? [E] : opt(d(E)) != opt(d(opt(E))),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f53_nnf,plain,
! [E] : opt(d(E)) = opt(d(opt(E))),
inference(nnf_transformation,[status(thm)],[f53_neg]) ).
fof(f53_sk,plain,
! [E] : opt(d(E)) = opt(d(opt(E))),
inference(skolemisation,[status(esa)],[f53_nnf]) ).
cnf(c53,plain,
opt(d(X0)) = opt(d(opt(X0))),
inference(cnf_transformation,[status(esa)],[f53_sk]) ).
cnf(p96,plain,
opt(d(x(n(z),X0))) = opt(d(X0)),
inference(superposition,[status(thm)],[c49,c53]) ).
cnf(p139,plain,
opt(x(n(z),d(X0))) = opt(d(X0)),
inference(demodulation,[status(thm)],[p138,p96]) ).
cnf(p248,plain,
opt(d(X0)) = d(X0),
inference(superposition,[status(thm)],[p139,c49]) ).
fof(f22,axiom,
! [X5,E2] : fail4(X5,E2) = y(opt(X5),opt(E2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_023) ).
fof(f22_nnf,plain,
! [X5,E2] : fail4(X5,E2) = y(opt(X5),opt(E2)),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X5,E2] : fail4(X5,E2) = y(opt(X5),opt(E2)),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
fail4(X0,X1) = y(opt(X0),opt(X1)),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
fof(f5,axiom,
! [X,X2] : proj12(y(X,X2)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_006) ).
fof(f5_nnf,plain,
! [X,X2] : proj12(y(X,X2)) = X,
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X,X2] : proj12(y(X,X2)) = X,
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
proj12(y(X0,X1)) = X0,
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p100,plain,
proj12(fail4(X0,X1)) = opt(X0),
inference(superposition,[status(thm)],[c22,c5]) ).
cnf(p118,plain,
opt(d(opt(X0))) = opt(d(X0)),
inference(superposition,[status(thm)],[c53,p100]) ).
cnf(p257,plain,
d(opt(X0)) = d(X0),
inference(demodulation,[status(thm)],[p248,p118]) ).
cnf(p293,plain,
d(X0) = d(x(n(z),X0)),
inference(superposition,[status(thm)],[c49,p257]) ).
fof(f41,axiom,
d(x2) = n(s(z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_042) ).
fof(f41_nnf,plain,
d(x2) = n(s(z)),
inference(nnf_transformation,[status(thm)],[f41]) ).
cnf(c41,plain,
d(x2) = n(s(z)),
inference(cnf_transformation,[status(esa)],[f41_nnf]) ).
fof(f7,axiom,
! [X,X2,X3] : n(X) != x(X2,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_008) ).
fof(f7_nnf,plain,
! [X,X2,X3] : n(X) != x(X2,X3),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X,X2,X3] : n(X) != x(X2,X3),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
n(X0) != x(X1,X2),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p56,plain,
d(x2) != x(X0,X1),
inference(superposition,[status(thm)],[c41,c7]) ).
cnf(p143,plain,
d(x2) != d(x(X0,X1)),
inference(superposition,[status(thm)],[c39,p56]) ).
cnf(p306,plain,
$false,
inference(resolution,[status(thm)],[p293,p143]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX190+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Thu Sep 24 23:32:42 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 17.22/2.95 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.22/2.95 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------