%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWX203+1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 03:32:06 PM UTC 2026
% Result : Theorem 43.36s 6.16s
% Output : Proof 43.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 14
% Syntax : Number of formulae : 103 ( 45 unt; 0 def)
% Number of atoms : 306 ( 77 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 262 ( 59 ~; 179 |; 16 &)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 128 ( 15 sgn 56 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [Y,Xs] :
( unique(cons(Y,Xs))
<=> ( unique(Xs)
& ~ elemNat(Y,Xs) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_017) ).
fof(f16_nnf,plain,
! [Y,Xs] :
( ( ~ unique(Xs)
| elemNat(Y,Xs)
| unique(cons(Y,Xs)) )
& ( ( unique(Xs)
& ~ elemNat(Y,Xs) )
| ~ unique(cons(Y,Xs)) ) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [Y,Xs] :
( ( ~ unique(Xs)
| elemNat(Y,Xs)
| unique(cons(Y,Xs)) )
& ( ( unique(Xs)
& ~ elemNat(Y,Xs) )
| ~ unique(cons(Y,Xs)) ) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c23,plain,
( ~ unique(X1)
| elemNat(X0,X1)
| unique(cons(X0,X1)) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
fof(f15,axiom,
unique(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_016) ).
fof(f15_nnf,plain,
unique(nil),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c20,plain,
unique(nil),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(p37,plain,
( elemNat(X0,nil)
| unique(cons(X0,nil)) ),
inference(resolution,[status(thm)],[c23,c20]) ).
cnf(p38,plain,
( elemNat(X1,cons(X0,nil))
| unique(cons(X1,cons(X0,nil)))
| elemNat(X0,nil) ),
inference(resolution,[status(thm)],[p37,c23]) ).
cnf(p55,plain,
( elemNat(X2,cons(X1,cons(X0,nil)))
| unique(cons(X2,cons(X1,cons(X0,nil))))
| elemNat(X1,cons(X0,nil))
| elemNat(X0,nil) ),
inference(resolution,[status(thm)],[p38,c23]) ).
cnf(p114,plain,
( elemNat(X3,cons(X2,cons(X1,cons(X0,nil))))
| unique(cons(X3,cons(X2,cons(X1,cons(X0,nil)))))
| elemNat(X2,cons(X1,cons(X0,nil)))
| elemNat(X1,cons(X0,nil))
| elemNat(X0,nil) ),
inference(resolution,[status(thm)],[p55,c23]) ).
fof(f19,axiom,
rev(nil) = nil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_020) ).
fof(f19_nnf,plain,
rev(nil) = nil,
inference(nnf_transformation,[status(thm)],[f19]) ).
cnf(c26,plain,
rev(nil) = nil,
inference(cnf_transformation,[status(esa)],[f19_nnf]) ).
fof(f20,axiom,
! [Y,Xs] : rev(cons(Y,Xs)) = append(rev(Xs),cons(Y,nil)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_021) ).
fof(f20_nnf,plain,
! [Y,Xs] : rev(cons(Y,Xs)) = append(rev(Xs),cons(Y,nil)),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [Y,Xs] : rev(cons(Y,Xs)) = append(rev(Xs),cons(Y,nil)),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c27,plain,
rev(cons(X0,X1)) = append(rev(X1),cons(X0,nil)),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(p39,plain,
rev(cons(X0,nil)) = cons(X0,nil),
inference(superposition,[status(thm)],[c26,c27]) ).
cnf(p46,plain,
rev(cons(X0,cons(X1,nil))) = cons(X1,cons(X0,nil)),
inference(superposition,[status(thm)],[p39,c27]) ).
cnf(p54,plain,
rev(cons(X0,cons(X1,cons(X2,nil)))) = cons(X2,cons(X1,cons(X0,nil))),
inference(superposition,[status(thm)],[p46,c27]) ).
cnf(p100,plain,
rev(cons(X0,cons(X1,cons(X2,cons(X3,nil))))) = cons(X3,cons(X2,cons(X1,cons(X0,nil)))),
inference(superposition,[status(thm)],[p54,c27]) ).
fof(f21,conjecture,
? [Xs] :
~ ( sorted(rev(Xs))
=> ( unique(Xs)
=> leqNat(lengthNat(Xs),s(s(s(z)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_022) ).
fof(f21_neg,negated_conjecture,
~ ? [Xs] :
~ ( sorted(rev(Xs))
=> ( unique(Xs)
=> leqNat(lengthNat(Xs),s(s(s(z)))) ) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f21_nnf,plain,
! [Xs] :
( leqNat(lengthNat(Xs),s(s(s(z))))
| ~ unique(Xs)
| ~ sorted(rev(Xs)) ),
inference(nnf_transformation,[status(thm)],[f21_neg]) ).
fof(f21_sk,plain,
! [Xs] :
( leqNat(lengthNat(Xs),s(s(s(z))))
| ~ unique(Xs)
| ~ sorted(rev(Xs)) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c28,plain,
( leqNat(lengthNat(X0),s(s(s(z))))
| ~ unique(X0)
| ~ sorted(rev(X0)) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p208,plain,
( leqNat(s(s(s(s(z)))),s(s(s(z))))
| ~ unique(cons(X3,cons(X2,cons(X1,cons(X0,nil)))))
| ~ sorted(cons(X0,cons(X1,cons(X2,cons(X3,nil))))) ),
inference(superposition,[status(thm)],[p100,c28]) ).
fof(f10,axiom,
! [Y,Y2,Xs] :
( sorted(cons(Y,cons(Y2,Xs)))
<=> ( sorted(cons(Y2,Xs))
& leqNat(Y,Y2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_011) ).
fof(f10_nnf,plain,
! [Y,Y2,Xs] :
( ( ~ sorted(cons(Y2,Xs))
| ~ leqNat(Y,Y2)
| sorted(cons(Y,cons(Y2,Xs))) )
& ( ( sorted(cons(Y2,Xs))
& leqNat(Y,Y2) )
| ~ sorted(cons(Y,cons(Y2,Xs))) ) ),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [Y,Y2,Xs] :
( ( ~ sorted(cons(Y2,Xs))
| ~ leqNat(Y,Y2)
| sorted(cons(Y,cons(Y2,Xs))) )
& ( ( sorted(cons(Y2,Xs))
& leqNat(Y,Y2) )
| ~ sorted(cons(Y,cons(Y2,Xs))) ) ),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c13,plain,
( ~ sorted(cons(X1,X2))
| ~ leqNat(X0,X1)
| sorted(cons(X0,cons(X1,X2))) ),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
fof(f7,axiom,
! [Z,M] :
( leqNat(s(Z),s(M))
<=> leqNat(Z,M) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_008) ).
fof(f7_nnf,plain,
! [Z,M] :
( ( ~ leqNat(Z,M)
| leqNat(s(Z),s(M)) )
& ( leqNat(Z,M)
| ~ leqNat(s(Z),s(M)) ) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [Z,M] :
( ( ~ leqNat(Z,M)
| leqNat(s(Z),s(M)) )
& ( leqNat(Z,M)
| ~ leqNat(s(Z),s(M)) ) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c8,plain,
( ~ leqNat(X0,X1)
| leqNat(s(X0),s(X1)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
fof(f5,axiom,
! [Y] : leqNat(z,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_006) ).
fof(f5_nnf,plain,
! [Y] : leqNat(z,Y),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [Y] : leqNat(z,Y),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
leqNat(z,X0),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p29,plain,
leqNat(s(z),s(X0)),
inference(resolution,[status(thm)],[c8,c5]) ).
cnf(p30,plain,
leqNat(s(s(z)),s(s(X0))),
inference(resolution,[status(thm)],[p29,c8]) ).
cnf(p44,plain,
( ~ sorted(cons(s(s(X0)),X1))
| sorted(cons(s(s(z)),cons(s(s(X0)),X1))) ),
inference(resolution,[status(thm)],[c13,p30]) ).
fof(f9,axiom,
! [Y] : sorted(cons(Y,nil)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_010) ).
fof(f9_nnf,plain,
! [Y] : sorted(cons(Y,nil)),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [Y] : sorted(cons(Y,nil)),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c10,plain,
sorted(cons(X0,nil)),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(p76,plain,
sorted(cons(s(s(z)),cons(s(s(X0)),nil))),
inference(resolution,[status(thm)],[p44,c10]) ).
cnf(p43,plain,
( ~ sorted(cons(s(X0),X1))
| sorted(cons(s(z),cons(s(X0),X1))) ),
inference(resolution,[status(thm)],[c13,p29]) ).
cnf(p78,plain,
sorted(cons(s(z),cons(s(s(z)),cons(s(s(X0)),nil)))),
inference(resolution,[status(thm)],[p76,p43]) ).
cnf(p42,plain,
( ~ sorted(cons(X0,X1))
| sorted(cons(z,cons(X0,X1))) ),
inference(resolution,[status(thm)],[c13,c5]) ).
cnf(p88,plain,
sorted(cons(z,cons(s(z),cons(s(s(z)),cons(s(s(X0)),nil))))),
inference(resolution,[status(thm)],[p78,p42]) ).
cnf(p231,plain,
( leqNat(s(s(s(s(z)))),s(s(s(z))))
| ~ unique(cons(s(s(X0)),cons(s(s(z)),cons(s(z),cons(z,nil))))) ),
inference(resolution,[status(thm)],[p208,p88]) ).
cnf(p287,plain,
( leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(X0)),cons(s(s(z)),cons(s(z),cons(z,nil))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p114,p231]) ).
fof(f14,axiom,
! [X,Z,Xs] :
( elemNat(X,cons(Z,Xs))
<=> ( elemNat(X,Xs)
| X = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_015) ).
fof(f14_nnf,plain,
! [X,Z,Xs] :
( ( ( ~ elemNat(X,Xs)
& X != Z )
| elemNat(X,cons(Z,Xs)) )
& ( elemNat(X,Xs)
| X = Z
| ~ elemNat(X,cons(Z,Xs)) ) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X,Z,Xs] :
( ( ( ~ elemNat(X,Xs)
& X != Z )
| elemNat(X,cons(Z,Xs)) )
& ( elemNat(X,Xs)
| X = Z
| ~ elemNat(X,cons(Z,Xs)) ) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c17,plain,
( elemNat(X0,X2)
| X0 = X1
| ~ elemNat(X0,cons(X1,X2)) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(p292,plain,
( elemNat(s(s(X0)),cons(s(z),cons(z,nil)))
| s(s(X0)) = s(s(z))
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p287,c17]) ).
cnf(p299,plain,
( elemNat(s(s(X0)),cons(z,nil))
| s(s(X0)) = s(z)
| s(s(X0)) = s(s(z))
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p292,c17]) ).
cnf(p324,plain,
( elemNat(s(s(X0)),nil)
| s(s(X0)) = z
| s(s(X0)) = s(z)
| s(s(X0)) = s(s(z))
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p299,c17]) ).
fof(f3,axiom,
! [X] : proj1S(s(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_004) ).
fof(f3_nnf,plain,
! [X] : proj1S(s(X)) = X,
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] : proj1S(s(X)) = X,
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
proj1S(s(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p464,plain,
( s(z) = s(X0)
| elemNat(s(s(X0)),nil)
| s(s(X0)) = z
| s(s(X0)) = s(z)
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(superposition,[status(thm)],[p324,c3]) ).
cnf(p738,plain,
( z = s(X0)
| s(z) = s(X0)
| elemNat(s(s(X0)),nil)
| s(s(X0)) = z
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(superposition,[status(thm)],[p464,c3]) ).
fof(f13,axiom,
! [X] : ~ elemNat(X,nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_014) ).
fof(f13_nnf,plain,
! [X] : ~ elemNat(X,nil),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X] : ~ elemNat(X,nil),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c16,plain,
~ elemNat(X0,nil),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(p886,plain,
( z = s(X0)
| s(z) = s(X0)
| s(s(X0)) = z
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p738,c16]) ).
fof(f4,axiom,
! [X] : z != s(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_005) ).
fof(f4_nnf,plain,
! [X] : z != s(X),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] : z != s(X),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
z != s(X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p887,plain,
( z != z
| z = s(X0)
| s(z) = s(X0)
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(superposition,[status(thm)],[p886,c4]) ).
cnf(p1127,plain,
( z = s(X0)
| s(z) = s(X0)
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(equality_resolution,[status(thm)],[p887]) ).
cnf(p1128,plain,
( X0 = z
| z = s(X0)
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(superposition,[status(thm)],[p1127,c3]) ).
cnf(p1534,plain,
( X0 = z
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p1128,c4]) ).
cnf(p1535,plain,
( leqNat(X0,X1)
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(superposition,[status(thm)],[p1534,c5]) ).
cnf(p1658,plain,
( leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(s(z)),cons(s(z),cons(z,nil)))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(factoring,[status(thm)],[p1535]) ).
cnf(p1660,plain,
( elemNat(s(s(z)),cons(z,nil))
| s(s(z)) = s(z)
| leqNat(s(s(s(s(z)))),s(s(s(z))))
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p1658,c17]) ).
cnf(c7,plain,
( leqNat(X0,X1)
| ~ leqNat(s(X0),s(X1)) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p1662,plain,
( leqNat(s(s(s(z))),s(s(z)))
| elemNat(s(s(z)),cons(z,nil))
| s(s(z)) = s(z)
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p1660,c7]) ).
cnf(p1671,plain,
( leqNat(s(s(z)),s(z))
| elemNat(s(s(z)),cons(z,nil))
| s(s(z)) = s(z)
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p1662,c7]) ).
cnf(p1674,plain,
( elemNat(s(s(z)),nil)
| s(s(z)) = z
| leqNat(s(s(z)),s(z))
| s(s(z)) = s(z)
| elemNat(s(z),cons(z,nil))
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p1671,c17]) ).
cnf(p1680,plain,
( elemNat(s(z),nil)
| s(z) = z
| elemNat(s(s(z)),nil)
| s(s(z)) = z
| leqNat(s(s(z)),s(z))
| s(s(z)) = s(z)
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p1674,c17]) ).
cnf(p1693,plain,
( leqNat(s(z),z)
| elemNat(s(z),nil)
| s(z) = z
| elemNat(s(s(z)),nil)
| s(s(z)) = z
| s(s(z)) = s(z)
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p1680,c7]) ).
cnf(p1696,plain,
( z = s(z)
| leqNat(s(z),z)
| elemNat(s(z),nil)
| s(z) = z
| elemNat(s(s(z)),nil)
| s(s(z)) = z
| elemNat(z,nil) ),
inference(superposition,[status(thm)],[p1693,c3]) ).
cnf(p1779,plain,
( z = s(z)
| leqNat(s(z),z)
| elemNat(s(z),nil)
| s(z) = z
| s(s(z)) = z
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p1696,c16]) ).
cnf(p1786,plain,
( z != z
| z = s(z)
| leqNat(s(z),z)
| elemNat(s(z),nil)
| s(z) = z
| elemNat(z,nil) ),
inference(superposition,[status(thm)],[p1779,c4]) ).
cnf(p1953,plain,
( z = s(z)
| leqNat(s(z),z)
| elemNat(s(z),nil)
| s(z) = z
| elemNat(z,nil) ),
inference(equality_resolution,[status(thm)],[p1786]) ).
cnf(p1954,plain,
( z = s(z)
| leqNat(s(z),z)
| s(z) = z
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p1953,c16]) ).
fof(f6,axiom,
! [Z] : ~ leqNat(s(Z),z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_007) ).
fof(f6_nnf,plain,
! [Z] : ~ leqNat(s(Z),z),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [Z] : ~ leqNat(s(Z),z),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
~ leqNat(s(X0),z),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p1955,plain,
( z = s(z)
| s(z) = z
| elemNat(z,nil) ),
inference(resolution,[status(thm)],[p1954,c6]) ).
cnf(p1964,plain,
( z != z
| z = s(z)
| elemNat(z,nil) ),
inference(superposition,[status(thm)],[p1955,c4]) ).
cnf(p2078,plain,
( z = s(z)
| elemNat(z,nil) ),
inference(equality_resolution,[status(thm)],[p1964]) ).
cnf(p2079,plain,
elemNat(z,nil),
inference(resolution,[status(thm)],[p2078,c4]) ).
cnf(p2080,plain,
$false,
inference(resolution,[status(thm)],[p2079,c16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWX203+1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 23:33:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 43.36/6.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.36/6.16 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------