%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC038+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n026.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 03:05:09 PM UTC 2026
% Result : Theorem 46.79s 12.22s
% Output : Proof 46.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 93 ( 48 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 95 ( 30 ~; 30 |; 24 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn 14 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f45,axiom,
! [U] :
( ssList(U)
=> ( frontsegP(nil,U)
<=> nil = U ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f45_nnf,plain,
! [U] :
( ( ( nil != U
| frontsegP(nil,U) )
& ( nil = U
| ~ frontsegP(nil,U) ) )
| ~ ssList(U) ),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
! [U] :
( ( ( nil != U
| frontsegP(nil,U) )
& ( nil = U
| ~ frontsegP(nil,U) ) )
| ~ ssList(U) ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c123,plain,
( nil = X0
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
fof(f95,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( ( ~ frontsegP(X,W)
| ~ neq(W,nil) )
& ( nil != W
| nil != X ) )
| nil = U
| U != W
| V != X
| nil != V ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f95_neg,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( ( ~ frontsegP(X,W)
| ~ neq(W,nil) )
& ( nil != W
| nil != X ) )
| nil = U
| U != W
| V != X
| nil != V ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f95]) ).
fof(f95_nnf,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ( frontsegP(X,W)
& neq(W,nil) )
| ( nil = W
& nil = X ) )
& nil != U
& U = W
& V = X
& nil = V
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(nnf_transformation,[status(thm)],[f95_neg]) ).
fof(f95_sk,plain,
( ( ( frontsegP(sk50,sk49)
& neq(sk49,nil) )
| ( nil = sk49
& nil = sk50 ) )
& nil != sk47
& sk47 = sk49
& sk48 = sk50
& nil = sk48
& ssList(sk50)
& ssList(sk49)
& ssList(sk48)
& ssList(sk47) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sk47,sk48,sk49,sk50])],[f95_nnf]) ).
cnf(c190,plain,
ssList(sk47),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p12545,plain,
( nil = sk47
| ~ frontsegP(nil,sk47) ),
inference(resolution,[status(thm)],[c123,c190]) ).
cnf(c196,plain,
sk47 = sk49,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
fof(f27,axiom,
! [U] :
( ssList(U)
=> app(nil,U) = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f27_nnf,plain,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [U] :
( app(nil,U) = U
| ~ ssList(U) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c97,plain,
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(c192,plain,
ssList(sk49),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p11329,plain,
app(nil,sk49) = sk49,
inference(resolution,[status(thm)],[c97,c192]) ).
cnf(p11431,plain,
sk49 = sk47,
inference(superposition,[status(thm)],[c196,p11329]) ).
cnf(c194,plain,
nil = sk48,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(c195,plain,
sk48 = sk50,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p212,plain,
nil = sk50,
inference(superposition,[status(thm)],[c194,c195]) ).
cnf(c201,plain,
( frontsegP(sk50,sk49)
| nil = sk49 ),
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p1036,plain,
( frontsegP(nil,sk49)
| nil = sk49 ),
inference(superposition,[status(thm)],[p212,c201]) ).
cnf(p11434,plain,
( frontsegP(nil,sk47)
| nil = sk47 ),
inference(demodulation,[status(thm)],[p11431,p1036]) ).
cnf(p14325,plain,
( nil = sk47
| nil = sk47 ),
inference(resolution,[status(thm)],[p12545,p11434]) ).
cnf(p14563,plain,
nil = sk47,
inference(factoring,[status(thm)],[p14325]) ).
cnf(c197,plain,
nil != sk47,
inference(cnf_transformation,[status(esa)],[f95_sk]) ).
cnf(p14564,plain,
$false,
inference(resolution,[status(thm)],[p14563,c197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC038+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.37 % Computer : n026.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Thu Sep 24 16:05:30 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 46.79/12.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 46.79/12.22 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------