%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN079+1 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 09:26:49 PM UTC 2025
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 11 unt; 0 def)
% Number of atoms : 20 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 7 ~; 4 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel57,plain,
big_f(f(a,b),f(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57) ).
fof(pel57_negated,plain,
~ big_f(f(a,b),f(a,c)),
inference(negate_conjecture,[status(cth)],[pel57]) ).
cnf(3,plain,
~ big_f(f(a,b),f(a,c)),
inference(cnf,[status(esa)],[pel57_negated]) ).
cnf(l0,plain,
~ big_f(f(a,b),f(a,c)),
inference(instantiation,[status(thm)],[3]) ).
fof(pel57_3,plain,
! [X,Y,Z] :
( ( big_f(X,Y)
& big_f(Y,Z) )
=> big_f(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57_3) ).
cnf(2,plain,
( ~ big_f(X0,X1)
| ~ big_f(X1,X2)
| big_f(X0,X2) ),
inference(cnf,[status(esa)],[pel57_3]) ).
cnf(l1,plain,
( ~ big_f(f(a,b),f(b,c))
| ~ big_f(f(b,c),f(a,c))
| big_f(f(a,b),f(a,c)) ),
inference(instantiation,[status(thm)],[2]) ).
fof(pel57_1,plain,
big_f(f(a,b),f(b,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57_1) ).
cnf(0,plain,
big_f(f(a,b),f(b,c)),
inference(cnf,[status(esa)],[pel57_1]) ).
cnf(l2,plain,
big_f(f(a,b),f(b,c)),
inference(instantiation,[status(thm)],[0]) ).
fof(pel57_2,plain,
big_f(f(b,c),f(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel57_2) ).
cnf(1,plain,
big_f(f(b,c),f(a,c)),
inference(cnf,[status(esa)],[pel57_2]) ).
cnf(l3,plain,
big_f(f(b,c),f(a,c)),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN079+1 : TPTP v9.0.0. Released v2.0.0.
% 0.06/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n022.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Jul 22 15:34:19 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------