%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWC096-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n015.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 03:05:20 PM UTC 2026
% Result : Unsatisfiable 23.95s 4.75s
% Output : Proof 23.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 51 ( 15 unt; 0 def)
% Number of atoms : 108 ( 40 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 121 ( 64 ~; 57 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 4 !; 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(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(f201,negated_conjecture,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
fof(f201_nnf,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(nnf_transformation,[status(thm)],[f201]) ).
fof(f201_sk,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(skolemisation,[status(esa)],[f201_nnf]) ).
cnf(c201,plain,
( ~ neq(sk4,nil)
| cons(sk5,nil) = sk3 ),
inference(cnf_transformation,[status(esa)],[f201_sk]) ).
cnf(p208,plain,
( ~ neq(sk2,nil)
| cons(sk5,nil) = sk3 ),
inference(superposition,[status(thm)],[c189,c201]) ).
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(p203,plain,
neq(sk2,nil),
inference(factoring,[status(thm)],[c191]) ).
cnf(p214,plain,
cons(sk5,nil) = sk3,
inference(resolution,[status(thm)],[p208,p203]) ).
cnf(p218,plain,
sk3 = sk1,
inference(superposition,[status(thm)],[c190,p214]) ).
cnf(f202,negated_conjecture,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
fof(f202_nnf,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
inference(nnf_transformation,[status(thm)],[f202]) ).
fof(f202_sk,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
inference(skolemisation,[status(esa)],[f202_nnf]) ).
cnf(c202,plain,
( ~ neq(sk4,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
inference(cnf_transformation,[status(esa)],[f202_sk]) ).
cnf(p207,plain,
( ~ neq(sk2,nil)
| app(sk6,cons(sk5,nil)) = sk4 ),
inference(superposition,[status(thm)],[c189,c202]) ).
cnf(p216,plain,
( ~ neq(sk2,nil)
| app(sk6,sk3) = sk4 ),
inference(demodulation,[status(thm)],[p214,p207]) ).
cnf(p221,plain,
( ~ neq(sk2,nil)
| app(sk6,sk1) = sk4 ),
inference(demodulation,[status(thm)],[p218,p216]) ).
cnf(p223,plain,
app(sk6,sk1) = sk4,
inference(resolution,[status(thm)],[p221,p203]) ).
cnf(p224,plain,
sk4 = sk2,
inference(superposition,[status(thm)],[c189,p223]) ).
cnf(f199,negated_conjecture,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
fof(f199_nnf,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(nnf_transformation,[status(thm)],[f199]) ).
fof(f199_sk,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(skolemisation,[status(esa)],[f199_nnf]) ).
cnf(c199,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnf_transformation,[status(esa)],[f199_sk]) ).
cnf(p210,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(superposition,[status(thm)],[c189,c199]) ).
cnf(p212,plain,
ssItem(sk5),
inference(resolution,[status(thm)],[p210,p203]) ).
cnf(f198,negated_conjecture,
( ~ neq(sk4,nil)
| app(B,cons(A,nil)) != sk2
| cons(A,nil) != sk1
| ~ ssList(B)
| ~ ssItem(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
fof(f198_nnf,plain,
! [A,B] :
( ~ neq(sk4,nil)
| app(B,cons(A,nil)) != sk2
| cons(A,nil) != sk1
| ~ ssList(B)
| ~ ssItem(A) ),
inference(nnf_transformation,[status(thm)],[f198]) ).
fof(f198_sk,plain,
! [A,B] :
( ~ neq(sk4,nil)
| app(B,cons(A,nil)) != sk2
| cons(A,nil) != sk1
| ~ ssList(B)
| ~ ssItem(A) ),
inference(skolemisation,[status(esa)],[f198_nnf]) ).
cnf(c198,plain,
( ~ neq(sk4,nil)
| app(X1,cons(X0,nil)) != sk2
| cons(X0,nil) != sk1
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[status(esa)],[f198_sk]) ).
cnf(p213,plain,
( ~ neq(sk4,nil)
| app(X0,cons(sk5,nil)) != sk2
| cons(sk5,nil) != sk1
| ~ ssList(X0) ),
inference(resolution,[status(thm)],[p212,c198]) ).
cnf(p217,plain,
( ~ neq(sk4,nil)
| app(X0,sk3) != sk2
| sk3 != sk1
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[p214,p213]) ).
cnf(p222,plain,
( ~ neq(sk4,nil)
| app(X0,sk1) != sk2
| sk1 != sk1
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[p218,p217]) ).
cnf(p229,plain,
( ~ neq(sk2,nil)
| app(X0,sk1) != sk2
| sk1 != sk1
| ~ ssList(X0) ),
inference(demodulation,[status(thm)],[p224,p222]) ).
cnf(p231,plain,
( ~ neq(sk2,nil)
| app(X0,sk1) != sk2
| ~ ssList(X0) ),
inference(equality_resolution,[status(thm)],[p229]) ).
cnf(f200,negated_conjecture,
( ~ neq(sk4,nil)
| ssList(sk6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
fof(f200_nnf,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(nnf_transformation,[status(thm)],[f200]) ).
fof(f200_sk,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(skolemisation,[status(esa)],[f200_nnf]) ).
cnf(c200,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(cnf_transformation,[status(esa)],[f200_sk]) ).
cnf(p209,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(superposition,[status(thm)],[c189,c200]) ).
cnf(p211,plain,
ssList(sk6),
inference(resolution,[status(thm)],[p209,p203]) ).
cnf(p236,plain,
( ~ neq(sk2,nil)
| sk2 != sk2 ),
inference(resolution,[status(thm)],[p231,p211]) ).
cnf(p239,plain,
~ neq(sk2,nil),
inference(equality_resolution,[status(thm)],[p236]) ).
cnf(p240,plain,
$false,
inference(resolution,[status(thm)],[p239,p203]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC096-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Thu Sep 24 16:25:26 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.95/4.75 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.95/4.75 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------