%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC050-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : 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 03:05:12 PM UTC 2026
% Result : Unsatisfiable 35.03s 15.30s
% Output : Proof 35.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 16 unt; 0 def)
% Number of atoms : 93 ( 6 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 97 ( 51 ~; 46 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f189,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/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(f199,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f199_nnf,plain,
( ~ neq(sk4,nil)
| ssList(sk5) ),
inference(nnf_transformation,[status(thm)],[f199]) ).
fof(f199_sk,plain,
( ~ neq(sk4,nil)
| ssList(sk5) ),
inference(skolemisation,[status(esa)],[f199_nnf]) ).
cnf(c199,plain,
( ~ neq(sk4,nil)
| ssList(sk5) ),
inference(cnf_transformation,[status(esa)],[f199_sk]) ).
cnf(p215,plain,
( ~ neq(sk2,nil)
| ssList(sk5) ),
inference(superposition,[status(thm)],[c189,c199]) ).
cnf(f191,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
fof(f191_nnf,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(nnf_transformation,[status(thm)],[f191]) ).
fof(f191_sk,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(skolemisation,[status(esa)],[f191_nnf]) ).
cnf(c191,plain,
( neq(sk2,nil)
| neq(sk2,nil) ),
inference(cnf_transformation,[status(esa)],[f191_sk]) ).
cnf(p206,plain,
neq(sk2,nil),
inference(factoring,[status(thm)],[c191]) ).
cnf(p218,plain,
ssList(sk5),
inference(resolution,[status(thm)],[p215,p206]) ).
cnf(f198,negated_conjecture,
( ~ neq(sk4,nil)
| ~ rearsegP(sk1,A)
| ~ rearsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f198_nnf,plain,
! [A] :
( ~ neq(sk4,nil)
| ~ rearsegP(sk1,A)
| ~ rearsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
inference(nnf_transformation,[status(thm)],[f198]) ).
fof(f198_sk,plain,
! [A] :
( ~ neq(sk4,nil)
| ~ rearsegP(sk1,A)
| ~ rearsegP(sk2,A)
| ~ neq(A,nil)
| ~ ssList(A) ),
inference(skolemisation,[status(esa)],[f198_nnf]) ).
cnf(c198,plain,
( ~ neq(sk4,nil)
| ~ rearsegP(sk1,X0)
| ~ rearsegP(sk2,X0)
| ~ neq(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[status(esa)],[f198_sk]) ).
cnf(p219,plain,
( ~ neq(sk4,nil)
| ~ rearsegP(sk1,sk5)
| ~ rearsegP(sk2,sk5)
| ~ neq(sk5,nil) ),
inference(resolution,[status(thm)],[p218,c198]) ).
cnf(f200,negated_conjecture,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f200_nnf,plain,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
inference(nnf_transformation,[status(thm)],[f200]) ).
fof(f200_sk,plain,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
inference(skolemisation,[status(esa)],[f200_nnf]) ).
cnf(c200,plain,
( ~ neq(sk4,nil)
| neq(sk5,nil) ),
inference(cnf_transformation,[status(esa)],[f200_sk]) ).
cnf(p214,plain,
( ~ neq(sk2,nil)
| neq(sk5,nil) ),
inference(superposition,[status(thm)],[c189,c200]) ).
cnf(p226,plain,
neq(sk5,nil),
inference(resolution,[status(thm)],[p214,p206]) ).
cnf(p230,plain,
( ~ neq(sk4,nil)
| ~ rearsegP(sk1,sk5)
| ~ rearsegP(sk2,sk5) ),
inference(resolution,[status(thm)],[p219,p226]) ).
cnf(f201,negated_conjecture,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f201_nnf,plain,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk5) ),
inference(nnf_transformation,[status(thm)],[f201]) ).
fof(f201_sk,plain,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk5) ),
inference(skolemisation,[status(esa)],[f201_nnf]) ).
cnf(c201,plain,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk5) ),
inference(cnf_transformation,[status(esa)],[f201_sk]) ).
cnf(p213,plain,
( ~ neq(sk2,nil)
| rearsegP(sk4,sk5) ),
inference(superposition,[status(thm)],[c189,c201]) ).
cnf(p223,plain,
rearsegP(sk4,sk5),
inference(resolution,[status(thm)],[p213,p206]) ).
cnf(p224,plain,
rearsegP(sk2,sk5),
inference(superposition,[status(thm)],[c189,p223]) ).
cnf(p231,plain,
( ~ neq(sk4,nil)
| ~ rearsegP(sk1,sk5) ),
inference(resolution,[status(thm)],[p230,p224]) ).
cnf(f190,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/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(f202,negated_conjecture,
( ~ neq(sk4,nil)
| rearsegP(sk3,sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f202_nnf,plain,
( ~ neq(sk4,nil)
| rearsegP(sk3,sk5) ),
inference(nnf_transformation,[status(thm)],[f202]) ).
fof(f202_sk,plain,
( ~ neq(sk4,nil)
| rearsegP(sk3,sk5) ),
inference(skolemisation,[status(esa)],[f202_nnf]) ).
cnf(c202,plain,
( ~ neq(sk4,nil)
| rearsegP(sk3,sk5) ),
inference(cnf_transformation,[status(esa)],[f202_sk]) ).
cnf(p212,plain,
( ~ neq(sk2,nil)
| rearsegP(sk3,sk5) ),
inference(superposition,[status(thm)],[c189,c202]) ).
cnf(p220,plain,
rearsegP(sk3,sk5),
inference(resolution,[status(thm)],[p212,p206]) ).
cnf(p221,plain,
rearsegP(sk1,sk5),
inference(superposition,[status(thm)],[c190,p220]) ).
cnf(p232,plain,
~ neq(sk4,nil),
inference(resolution,[status(thm)],[p231,p221]) ).
cnf(p233,plain,
~ neq(sk2,nil),
inference(superposition,[status(thm)],[c189,p232]) ).
cnf(p234,plain,
$false,
inference(resolution,[status(thm)],[p233,p206]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC050-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.17/10.65 % Computer : n006.cluster.edu
% 0.17/10.65 % Model : x86_64 x86_64
% 0.17/10.65 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/10.65 % Memory : 8046.5625MB
% 0.17/10.65 % OS : Linux 6.8.0-71-generic
% 0.17/10.65 % CPULimit : 300
% 0.17/10.65 % WCLimit : 300
% 0.17/10.65 % DateTime : Thu Sep 24 16:06:39 UTC 2026
% 0.17/10.65 % CPUTime :
% 0.17/10.65 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 35.03/15.30 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 35.03/15.30 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------