%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC020-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n011.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 03:05:06 PM UTC 2026
% Result : Unsatisfiable 28.13s 4.14s
% Output : Proof 28.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 19 unt; 0 def)
% Number of atoms : 114 ( 51 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 100 ( 46 ~; 54 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f60,axiom,
( frontsegP(U,U)
| ~ ssList(U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).
fof(f60_nnf,plain,
! [U] :
( frontsegP(U,U)
| ~ ssList(U) ),
inference(nnf_transformation,[status(thm)],[f60]) ).
fof(f60_sk,plain,
! [U] :
( frontsegP(U,U)
| ~ ssList(U) ),
inference(skolemisation,[status(esa)],[f60_nnf]) ).
cnf(c60,plain,
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f60_sk]) ).
cnf(f185,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
fof(f185_nnf,plain,
ssList(sk1),
inference(nnf_transformation,[status(thm)],[f185]) ).
cnf(c185,plain,
ssList(sk1),
inference(cnf_transformation,[status(esa)],[f185_nnf]) ).
cnf(p439,plain,
frontsegP(sk1,sk1),
inference(resolution,[status(thm)],[c60,c185]) ).
cnf(f190,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_6) ).
fof(f190_nnf,plain,
sk1 = sk3,
inference(nnf_transformation,[status(thm)],[f190]) ).
cnf(c190,plain,
sk1 = sk3,
inference(cnf_transformation,[status(esa)],[f190_nnf]) ).
cnf(f189,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_5) ).
fof(f189_nnf,plain,
sk2 = sk4,
inference(nnf_transformation,[status(thm)],[f189]) ).
cnf(c189,plain,
sk2 = sk4,
inference(cnf_transformation,[status(esa)],[f189_nnf]) ).
cnf(f194,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_10) ).
fof(f194_nnf,plain,
( frontsegP(sk4,sk3)
| nil = sk4 ),
inference(nnf_transformation,[status(thm)],[f194]) ).
fof(f194_sk,plain,
( frontsegP(sk4,sk3)
| nil = sk4 ),
inference(skolemisation,[status(esa)],[f194_nnf]) ).
cnf(c194,plain,
( frontsegP(sk4,sk3)
| nil = sk4 ),
inference(cnf_transformation,[status(esa)],[f194_sk]) ).
cnf(p215,plain,
( frontsegP(sk2,sk3)
| nil = sk4 ),
inference(superposition,[status(thm)],[c189,c194]) ).
cnf(f187,negated_conjecture,
ssList(sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_3) ).
fof(f187_nnf,plain,
ssList(sk3),
inference(nnf_transformation,[status(thm)],[f187]) ).
cnf(c187,plain,
ssList(sk3),
inference(cnf_transformation,[status(esa)],[f187_nnf]) ).
cnf(f191,negated_conjecture,
( ~ frontsegP(sk1,A)
| ~ frontsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
! [A] :
( ~ frontsegP(sk1,A)
| ~ frontsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
inference(nnf_transformation,[status(thm)],[f191]) ).
fof(f191_sk,plain,
! [A] :
( ~ frontsegP(sk1,A)
| ~ frontsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
inference(skolemisation,[status(esa)],[f191_nnf]) ).
cnf(c191,plain,
( ~ frontsegP(sk1,X0)
| ~ frontsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f191_sk]) ).
cnf(p205,plain,
( ~ frontsegP(sk1,sk3)
| ~ frontsegP(sk2,sk3)
| ~ neq(sk3,nil) ),
inference(resolution,[status(thm)],[c187,c191]) ).
cnf(f193,negated_conjecture,
( neq(sk3,nil)
| nil = sk4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
fof(f193_nnf,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(nnf_transformation,[status(thm)],[f193]) ).
fof(f193_sk,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(skolemisation,[status(esa)],[f193_nnf]) ).
cnf(c193,plain,
( neq(sk3,nil)
| nil = sk4 ),
inference(cnf_transformation,[status(esa)],[f193_sk]) ).
cnf(p208,plain,
( nil = sk4
| ~ frontsegP(sk1,sk3)
| ~ frontsegP(sk2,sk3) ),
inference(resolution,[status(thm)],[p205,c193]) ).
cnf(p223,plain,
( nil = sk4
| ~ frontsegP(sk1,sk3)
| nil = sk4 ),
inference(resolution,[status(thm)],[p215,p208]) ).
cnf(p230,plain,
( ~ frontsegP(sk1,sk3)
| nil = sk4 ),
inference(factoring,[status(thm)],[p223]) ).
cnf(p231,plain,
( ~ frontsegP(sk1,sk1)
| nil = sk4 ),
inference(superposition,[status(thm)],[c190,p230]) ).
cnf(p489,plain,
nil = sk4,
inference(resolution,[status(thm)],[p439,p231]) ).
cnf(p548,plain,
sk2 = nil,
inference(superposition,[status(thm)],[p489,c189]) ).
cnf(f196,negated_conjecture,
( frontsegP(sk4,sk3)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_12) ).
fof(f196_nnf,plain,
( frontsegP(sk4,sk3)
| nil = sk3 ),
inference(nnf_transformation,[status(thm)],[f196]) ).
fof(f196_sk,plain,
( frontsegP(sk4,sk3)
| nil = sk3 ),
inference(skolemisation,[status(esa)],[f196_nnf]) ).
cnf(c196,plain,
( frontsegP(sk4,sk3)
| nil = sk3 ),
inference(cnf_transformation,[status(esa)],[f196_sk]) ).
cnf(p214,plain,
( frontsegP(sk2,sk3)
| nil = sk3 ),
inference(superposition,[status(thm)],[c189,c196]) ).
cnf(f195,negated_conjecture,
( neq(sk3,nil)
| nil = sk3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_11) ).
fof(f195_nnf,plain,
( neq(sk3,nil)
| nil = sk3 ),
inference(nnf_transformation,[status(thm)],[f195]) ).
fof(f195_sk,plain,
( neq(sk3,nil)
| nil = sk3 ),
inference(skolemisation,[status(esa)],[f195_nnf]) ).
cnf(c195,plain,
( neq(sk3,nil)
| nil = sk3 ),
inference(cnf_transformation,[status(esa)],[f195_sk]) ).
cnf(p207,plain,
( nil = sk3
| ~ frontsegP(sk1,sk3)
| ~ frontsegP(sk2,sk3) ),
inference(resolution,[status(thm)],[p205,c195]) ).
cnf(p221,plain,
( nil = sk3
| ~ frontsegP(sk1,sk3)
| nil = sk3 ),
inference(resolution,[status(thm)],[p214,p207]) ).
cnf(p227,plain,
( ~ frontsegP(sk1,sk3)
| nil = sk3 ),
inference(factoring,[status(thm)],[p221]) ).
cnf(p228,plain,
( ~ frontsegP(sk1,sk1)
| nil = sk3 ),
inference(superposition,[status(thm)],[c190,p227]) ).
cnf(p488,plain,
nil = sk3,
inference(resolution,[status(thm)],[p439,p228]) ).
cnf(p509,plain,
sk1 = nil,
inference(superposition,[status(thm)],[p488,c190]) ).
cnf(f192,negated_conjecture,
( nil != sk1
| nil != sk2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
fof(f192_nnf,plain,
( nil != sk1
| nil != sk2 ),
inference(nnf_transformation,[status(thm)],[f192]) ).
fof(f192_sk,plain,
( nil != sk1
| nil != sk2 ),
inference(skolemisation,[status(esa)],[f192_nnf]) ).
cnf(c192,plain,
( nil != sk1
| nil != sk2 ),
inference(cnf_transformation,[status(esa)],[f192_sk]) ).
cnf(p511,plain,
( nil != nil
| nil != sk2 ),
inference(demodulation,[status(thm)],[p509,c192]) ).
cnf(p553,plain,
( nil != nil
| nil != nil ),
inference(demodulation,[status(thm)],[p548,p511]) ).
cnf(p637,plain,
nil != nil,
inference(factoring,[status(thm)],[p553]) ).
cnf(p638,plain,
$false,
inference(equality_resolution,[status(thm)],[p637]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC020-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.37 % Computer : n011.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 15:56:58 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 28.13/4.14 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 28.13/4.14 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------