%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 03:33:47 PM UTC 2026
% Result : Unsatisfiable 0.60s 0.80s
% Output : Proof 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 7
% Syntax : Number of formulae : 58 ( 11 unt; 0 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 133 ( 56 ~; 77 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn 4 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f6,negated_conjecture,
( ~ big_p(f(f(sk1)))
| ~ big_p(sk2)
| big_p(f(sk2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_7) ).
fof(f6_nnf,plain,
( ~ big_p(f(f(sk1)))
| ~ big_p(sk2)
| big_p(f(sk2)) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
( ~ big_p(f(f(sk1)))
| ~ big_p(sk2)
| big_p(f(sk2)) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ big_p(f(f(sk1)))
| ~ big_p(sk2)
| big_p(f(sk2)) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f1,negated_conjecture,
( ~ big_p(a)
| big_p(A)
| big_p(f(f(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_2) ).
fof(f1_nnf,plain,
! [A] :
( ~ big_p(a)
| big_p(A)
| big_p(f(f(A))) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [A] :
( ~ big_p(a)
| big_p(A)
| big_p(f(f(A))) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ big_p(a)
| big_p(X0)
| big_p(f(f(X0))) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f0,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_1) ).
fof(f0_nnf,plain,
big_p(a),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
big_p(a),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(p7,plain,
( big_p(X0)
| big_p(f(f(X0))) ),
inference(resolution,[status(thm)],[c1,c0]) ).
cnf(f3,negated_conjecture,
( ~ big_p(f(f(sk2)))
| ~ big_p(f(f(sk1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_4) ).
fof(f3_nnf,plain,
( ~ big_p(f(f(sk2)))
| ~ big_p(f(f(sk1))) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
( ~ big_p(f(f(sk2)))
| ~ big_p(f(f(sk1))) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ big_p(f(f(sk2)))
| ~ big_p(f(f(sk1))) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(p8,plain,
( ~ big_p(f(f(sk2)))
| big_p(sk1) ),
inference(resolution,[status(thm)],[p7,c3]) ).
cnf(p10,plain,
( big_p(sk2)
| big_p(sk1) ),
inference(resolution,[status(thm)],[p8,p7]) ).
cnf(p11,plain,
( big_p(sk1)
| ~ big_p(f(f(sk1)))
| big_p(f(sk2)) ),
inference(resolution,[status(thm)],[c6,p10]) ).
cnf(p14,plain,
( big_p(sk1)
| big_p(sk1)
| big_p(f(sk2)) ),
inference(resolution,[status(thm)],[p11,p7]) ).
cnf(p15,plain,
( big_p(sk1)
| big_p(f(sk2)) ),
inference(factoring,[status(thm)],[p14]) ).
cnf(f2,negated_conjecture,
( ~ big_p(a)
| ~ big_p(f(A))
| big_p(f(f(A))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_3) ).
fof(f2_nnf,plain,
! [A] :
( ~ big_p(a)
| ~ big_p(f(A))
| big_p(f(f(A))) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [A] :
( ~ big_p(a)
| ~ big_p(f(A))
| big_p(f(f(A))) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( ~ big_p(a)
| ~ big_p(f(X0))
| big_p(f(f(X0))) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p17,plain,
( ~ big_p(a)
| big_p(f(f(sk2)))
| big_p(sk1) ),
inference(resolution,[status(thm)],[p15,c2]) ).
cnf(p19,plain,
( big_p(f(f(sk2)))
| big_p(sk1) ),
inference(resolution,[status(thm)],[p17,c0]) ).
cnf(p21,plain,
( big_p(sk1)
| big_p(sk1) ),
inference(resolution,[status(thm)],[p19,p8]) ).
cnf(p23,plain,
big_p(sk1),
inference(factoring,[status(thm)],[p21]) ).
cnf(f5,negated_conjecture,
( ~ big_p(f(f(sk2)))
| ~ big_p(sk1)
| big_p(f(sk1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_6) ).
fof(f5_nnf,plain,
( ~ big_p(f(f(sk2)))
| ~ big_p(sk1)
| big_p(f(sk1)) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
( ~ big_p(f(f(sk2)))
| ~ big_p(sk1)
| big_p(f(sk1)) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ big_p(f(f(sk2)))
| ~ big_p(sk1)
| big_p(f(sk1)) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p24,plain,
( ~ big_p(f(f(sk2)))
| big_p(f(sk1)) ),
inference(resolution,[status(thm)],[p23,c5]) ).
cnf(p26,plain,
( big_p(sk2)
| big_p(f(sk1)) ),
inference(resolution,[status(thm)],[p24,p7]) ).
cnf(p27,plain,
( ~ big_p(a)
| big_p(f(f(sk1)))
| big_p(sk2) ),
inference(resolution,[status(thm)],[p26,c2]) ).
cnf(p29,plain,
( big_p(f(f(sk1)))
| big_p(sk2) ),
inference(resolution,[status(thm)],[p27,c0]) ).
cnf(p30,plain,
( ~ big_p(f(f(sk2)))
| big_p(sk2) ),
inference(resolution,[status(thm)],[p29,c3]) ).
cnf(p32,plain,
( big_p(sk2)
| big_p(sk2) ),
inference(resolution,[status(thm)],[p30,p7]) ).
cnf(p34,plain,
big_p(sk2),
inference(factoring,[status(thm)],[p32]) ).
cnf(f4,negated_conjecture,
( ~ big_p(sk2)
| ~ big_p(sk1)
| big_p(f(sk2))
| big_p(f(sk1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_5) ).
fof(f4_nnf,plain,
( ~ big_p(sk2)
| ~ big_p(sk1)
| big_p(f(sk2))
| big_p(f(sk1)) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
( ~ big_p(sk2)
| ~ big_p(sk1)
| big_p(f(sk2))
| big_p(f(sk1)) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ big_p(sk2)
| ~ big_p(sk1)
| big_p(f(sk2))
| big_p(f(sk1)) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p25,plain,
( ~ big_p(sk2)
| big_p(f(sk2))
| big_p(f(sk1)) ),
inference(resolution,[status(thm)],[p23,c4]) ).
cnf(p36,plain,
( big_p(f(sk2))
| big_p(f(sk1)) ),
inference(resolution,[status(thm)],[p34,p25]) ).
cnf(p37,plain,
( ~ big_p(a)
| big_p(f(f(sk2)))
| big_p(f(sk1)) ),
inference(resolution,[status(thm)],[p36,c2]) ).
cnf(p39,plain,
( big_p(f(f(sk2)))
| big_p(f(sk1)) ),
inference(resolution,[status(thm)],[p37,c0]) ).
cnf(p41,plain,
( big_p(f(sk1))
| big_p(f(sk1)) ),
inference(resolution,[status(thm)],[p39,p24]) ).
cnf(p42,plain,
big_p(f(sk1)),
inference(factoring,[status(thm)],[p41]) ).
cnf(p43,plain,
( ~ big_p(a)
| big_p(f(f(sk1))) ),
inference(resolution,[status(thm)],[p42,c2]) ).
cnf(p45,plain,
big_p(f(f(sk1))),
inference(resolution,[status(thm)],[p43,c0]) ).
cnf(p35,plain,
( ~ big_p(f(f(sk1)))
| big_p(f(sk2)) ),
inference(resolution,[status(thm)],[p34,c6]) ).
cnf(p48,plain,
big_p(f(sk2)),
inference(resolution,[status(thm)],[p45,p35]) ).
cnf(p49,plain,
( ~ big_p(a)
| big_p(f(f(sk2))) ),
inference(resolution,[status(thm)],[p48,c2]) ).
cnf(p51,plain,
big_p(f(f(sk2))),
inference(resolution,[status(thm)],[p49,c0]) ).
cnf(p46,plain,
~ big_p(f(f(sk2))),
inference(resolution,[status(thm)],[p45,c3]) ).
cnf(p53,plain,
$false,
inference(resolution,[status(thm)],[p51,p46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN084-2 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.13/0.38 % Computer : n008.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Fri Sep 25 00:09:39 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.60/0.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.80 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------