%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN079+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 : 600s
% DateTime : Thu Jul 21 08:59:23 EDT 2022
% Result : Theorem 0.13s 0.33s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 13 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 10 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 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 : 14 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel57_1,axiom,
big_f(f(a,b),f(b,c)) ).
fof(pel57_2,axiom,
big_f(f(b,c),f(a,c)) ).
fof(pel57_3,axiom,
! [X,Y,Z] :
( ( big_f(X,Y)
& big_f(Y,Z) )
=> big_f(X,Z) ) ).
fof(pel57,conjecture,
big_f(f(a,b),f(a,c)) ).
fof(subgoal_0,plain,
big_f(f(a,b),f(a,c)),
inference(strip,[],[pel57]) ).
fof(negate_0_0,plain,
~ big_f(f(a,b),f(a,c)),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
big_f(f(b,c),f(a,c)),
inference(canonicalize,[],[pel57_2]) ).
fof(normalize_0_1,plain,
big_f(f(a,b),f(b,c)),
inference(canonicalize,[],[pel57_1]) ).
fof(normalize_0_2,plain,
! [X,Y,Z] :
( ~ big_f(X,Y)
| ~ big_f(Y,Z)
| big_f(X,Z) ),
inference(canonicalize,[],[pel57_3]) ).
fof(normalize_0_3,plain,
! [X,Y,Z] :
( ~ big_f(X,Y)
| ~ big_f(Y,Z)
| big_f(X,Z) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
~ big_f(f(a,b),f(a,c)),
inference(canonicalize,[],[negate_0_0]) ).
cnf(refute_0_0,plain,
big_f(f(b,c),f(a,c)),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
big_f(f(a,b),f(b,c)),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_2,plain,
( ~ big_f(X,Y)
| ~ big_f(Y,Z)
| big_f(X,Z) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_3,plain,
( ~ big_f(f(a,b),f(b,c))
| ~ big_f(f(b,c),X_2)
| big_f(f(a,b),X_2) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(f(a,b))),bind(Y,$fot(f(b,c))),bind(Z,$fot(X_2))]]) ).
cnf(refute_0_4,plain,
( ~ big_f(f(b,c),X_2)
| big_f(f(a,b),X_2) ),
inference(resolve,[$cnf( big_f(f(a,b),f(b,c)) )],[refute_0_1,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ big_f(f(b,c),f(a,c))
| big_f(f(a,b),f(a,c)) ),
inference(subst,[],[refute_0_4:[bind(X_2,$fot(f(a,c)))]]) ).
cnf(refute_0_6,plain,
big_f(f(a,b),f(a,c)),
inference(resolve,[$cnf( big_f(f(b,c),f(a,c)) )],[refute_0_0,refute_0_5]) ).
cnf(refute_0_7,plain,
~ big_f(f(a,b),f(a,c)),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_8,plain,
$false,
inference(resolve,[$cnf( big_f(f(a,b),f(a,c)) )],[refute_0_6,refute_0_7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SYN079+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n028.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 : 600
% 0.13/0.33 % DateTime : Mon Jul 11 13:49:28 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33
% 0.13/0.33 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.34
%------------------------------------------------------------------------------