%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/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 03:33:46 PM UTC 2026
% Result : Unsatisfiable 4.91s 1.13s
% Output : Proof 4.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 83 ( 39 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 16 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f7,negated_conjecture,
( ~ big_f(a,f(a))
| ~ big_f(a,X)
| ~ big_f(g(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
fof(f7_nnf,plain,
! [X] :
( ~ big_f(a,f(a))
| ~ big_f(a,X)
| ~ big_f(g(X),X) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X] :
( ~ big_f(a,f(a))
| ~ big_f(a,X)
| ~ big_f(g(X),X) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ big_f(a,f(a))
| ~ big_f(a,X0)
| ~ big_f(g(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p24,plain,
( ~ big_f(a,f(a))
| ~ big_f(g(f(a)),f(a)) ),
inference(factoring,[status(thm)],[c7]) ).
cnf(f4,negated_conjecture,
( ~ big_f(a,f(a))
| ~ big_f(a,X)
| big_f(g(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f4_nnf,plain,
! [X] :
( ~ big_f(a,f(a))
| ~ big_f(a,X)
| big_f(g(X),X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( ~ big_f(a,f(a))
| ~ big_f(a,X)
| big_f(g(X),X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ big_f(a,f(a))
| ~ big_f(a,X0)
| big_f(g(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p12,plain,
( ~ big_f(a,f(a))
| big_f(g(f(a)),f(a)) ),
inference(factoring,[status(thm)],[c4]) ).
cnf(f1,negated_conjecture,
( big_f(a,b)
| big_f(a,f(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f1_nnf,plain,
( big_f(a,b)
| big_f(a,f(a)) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
( big_f(a,b)
| big_f(a,f(a)) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( big_f(a,b)
| big_f(a,f(a)) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(p13,plain,
( big_f(a,b)
| big_f(g(f(a)),f(a)) ),
inference(resolution,[status(thm)],[p12,c1]) ).
cnf(f6,negated_conjecture,
( big_f(a,b)
| ~ big_f(a,X)
| ~ big_f(g(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
fof(f6_nnf,plain,
! [X] :
( big_f(a,b)
| ~ big_f(a,X)
| ~ big_f(g(X),X) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( big_f(a,b)
| ~ big_f(a,X)
| ~ big_f(g(X),X) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( big_f(a,b)
| ~ big_f(a,X0)
| ~ big_f(g(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p14,plain,
( big_f(a,b)
| ~ big_f(a,f(a))
| big_f(a,b) ),
inference(resolution,[status(thm)],[p13,c6]) ).
cnf(p17,plain,
( ~ big_f(a,f(a))
| big_f(a,b) ),
inference(factoring,[status(thm)],[p14]) ).
cnf(p18,plain,
( big_f(a,b)
| big_f(a,b) ),
inference(resolution,[status(thm)],[p17,c1]) ).
cnf(p19,plain,
big_f(a,b),
inference(factoring,[status(thm)],[p18]) ).
cnf(f0,negated_conjecture,
( big_f(Y,f(a))
| ~ big_f(Y,b)
| big_f(a,f(a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f0_nnf,plain,
! [Y] :
( big_f(Y,f(a))
| ~ big_f(Y,b)
| big_f(a,f(a)) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [Y] :
( big_f(Y,f(a))
| ~ big_f(Y,b)
| big_f(a,f(a)) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( big_f(X0,f(a))
| ~ big_f(X0,b)
| big_f(a,f(a)) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p9,plain,
( ~ big_f(a,b)
| big_f(a,f(a)) ),
inference(factoring,[status(thm)],[c0]) ).
cnf(p22,plain,
big_f(a,f(a)),
inference(resolution,[status(thm)],[p19,p9]) ).
cnf(p26,plain,
big_f(g(f(a)),f(a)),
inference(resolution,[status(thm)],[p22,p12]) ).
cnf(p32,plain,
~ big_f(a,f(a)),
inference(resolution,[status(thm)],[p24,p26]) ).
cnf(p33,plain,
$false,
inference(resolution,[status(thm)],[p32,p22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN082-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Fri Sep 25 00:07:25 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.91/1.13 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.91/1.13 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------