%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWC385+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 : Thu Sep 24 02:41:02 PM UTC 2026
% Result : Theorem 0.15s 5.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 65 ( 10 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 71 ( 23 ~; 18 |; 22 &)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 ( 8 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f96,conjecture,
! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( segmentP(V,U)
& singletonP(U) )
| ( neq(X,nil)
& ~ singletonP(W) )
| ~ segmentP(X,W)
| ~ neq(V,nil)
| U != W
| V != X ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( segmentP(V,U)
& singletonP(U) )
| ( neq(X,nil)
& ~ singletonP(W) )
| ~ segmentP(X,W)
| ~ neq(V,nil)
| U != W
| V != X ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f96]) ).
fof(f415,plain,
? [U] :
( ? [V] :
( ? [W] :
( ? [X] :
( ( ~ segmentP(V,U)
| ~ singletonP(U) )
& ( ~ neq(X,nil)
| singletonP(W) )
& segmentP(X,W)
& neq(V,nil)
& U = W
& V = X
& ssList(X) )
& ssList(W) )
& ssList(V) )
& ssList(U) ),
inference(pre_NNF_transformation,[status(thm)],[f97]) ).
fof(f416,plain,
( ( ~ segmentP(sK48_skl,sK47_skl)
| ~ singletonP(sK47_skl) )
& ( ~ neq(sK50_skl,nil)
| singletonP(sK49_skl) )
& segmentP(sK50_skl,sK49_skl)
& neq(sK48_skl,nil)
& sK47_skl = sK49_skl
& sK48_skl = sK50_skl
& ssList(sK50_skl)
& ssList(sK49_skl)
& ssList(sK48_skl)
& ssList(sK47_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl)],[f415]) ).
fof(f421,plain,
sK48_skl = sK50_skl,
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f422,plain,
sK47_skl = sK49_skl,
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f423,plain,
neq(sK48_skl,nil),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f424,plain,
segmentP(sK50_skl,sK49_skl),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f425,plain,
( ~ neq(sK50_skl,nil)
| singletonP(sK49_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f426,plain,
( ~ segmentP(sK48_skl,sK47_skl)
| ~ singletonP(sK47_skl) ),
inference(cnf_transformation,[status(thm)],[f416]) ).
fof(f459,plain,
segmentP(sK48_skl,sK49_skl),
inference(forward_demodulation,[status(thm)],[f421,f424]) ).
fof(f460,plain,
segmentP(sK48_skl,sK47_skl),
inference(forward_demodulation,[status(thm)],[f422,f459]) ).
fof(f462,plain,
( ~ neq(sK50_skl,nil)
| singletonP(sK47_skl) ),
inference(forward_demodulation,[status(thm)],[f422,f425]) ).
fof(f463,plain,
( ~ neq(sK48_skl,nil)
| singletonP(sK47_skl) ),
inference(forward_demodulation,[status(thm)],[f421,f462]) ).
fof(f464,plain,
singletonP(sK47_skl),
inference(forward_subsumption_resolution,[status(thm)],[f463,f423]) ).
fof(f466,plain,
~ segmentP(sK48_skl,sK47_skl),
inference(forward_subsumption_resolution,[status(thm)],[f426,f464]) ).
fof(f467,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f460,f466]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC385+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.37 % Computer : n016.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.37 % CPULimit : 300
% 0.12/5.37 % WCLimit : 300
% 0.12/5.37 % DateTime : Mon Sep 21 08:25:15 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.39 % Drodi V4.1.1
% 0.15/5.42 % Refutation found
% 0.15/5.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.44 % Elapsed time: 0.057039 seconds
% 0.15/5.44 % CPU time: 0.152984 seconds
% 0.15/5.44 % Total memory used: 99.910 MB
% 0.15/5.44 % Net memory used: 99.778 MB
%------------------------------------------------------------------------------