%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN943+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n020.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 09:12:21 EDT 2022
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 37 ( 10 unt; 0 def)
% Number of atoms : 132 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 140 ( 45 ~; 53 |; 30 &)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 44 ( 0 sgn 23 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_this,conjecture,
! [A] :
? [X,X2,X3,X4,Y] :
( ( p(A)
& e(A)
& ( e(X)
=> ( g(X)
| s(X,f(X)) ) )
& ( e(X2)
=> ( g(X2)
| c(f(X2)) ) )
& ( s(A,Y)
=> p(Y) ) )
=> ( ( p(X3)
& g(X3) )
| ( p(X4)
& c(X4) ) ) ) ).
fof(subgoal_0,plain,
! [A] :
? [X,X2,X3,X4,Y] :
( ( p(A)
& e(A)
& ( e(X)
=> ( g(X)
| s(X,f(X)) ) )
& ( e(X2)
=> ( g(X2)
| c(f(X2)) ) )
& ( s(A,Y)
=> p(Y) ) )
=> ( ( p(X3)
& g(X3) )
| ( p(X4)
& c(X4) ) ) ),
inference(strip,[],[prove_this]) ).
fof(negate_0_0,plain,
~ ! [A] :
? [X,X2,X3,X4,Y] :
( ( p(A)
& e(A)
& ( e(X)
=> ( g(X)
| s(X,f(X)) ) )
& ( e(X2)
=> ( g(X2)
| c(f(X2)) ) )
& ( s(A,Y)
=> p(Y) ) )
=> ( ( p(X3)
& g(X3) )
| ( p(X4)
& c(X4) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [A] :
( e(A)
& p(A)
& ! [X] :
( ~ e(X)
| g(X)
| s(X,f(X)) )
& ! [X2] :
( ~ e(X2)
| c(f(X2))
| g(X2) )
& ! [X3] :
( ~ g(X3)
| ~ p(X3) )
& ! [X4] :
( ~ c(X4)
| ~ p(X4) )
& ! [Y] :
( ~ s(A,Y)
| p(Y) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
( e(skolemFOFtoCNF_A)
& p(skolemFOFtoCNF_A)
& ! [X] :
( ~ e(X)
| g(X)
| s(X,f(X)) )
& ! [X2] :
( ~ e(X2)
| c(f(X2))
| g(X2) )
& ! [X3] :
( ~ g(X3)
| ~ p(X3) )
& ! [X4] :
( ~ c(X4)
| ~ p(X4) )
& ! [Y] :
( ~ s(skolemFOFtoCNF_A,Y)
| p(Y) ) ),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X4] :
( ~ c(X4)
| ~ p(X4) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X4] :
( ~ c(X4)
| ~ p(X4) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [Y] :
( ~ s(skolemFOFtoCNF_A,Y)
| p(Y) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_5,plain,
! [Y] :
( ~ s(skolemFOFtoCNF_A,Y)
| p(Y) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
e(skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ e(X)
| g(X)
| s(X,f(X)) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ e(X)
| g(X)
| s(X,f(X)) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
p(skolemFOFtoCNF_A),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_10,plain,
! [X3] :
( ~ g(X3)
| ~ p(X3) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_11,plain,
! [X3] :
( ~ g(X3)
| ~ p(X3) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X2] :
( ~ e(X2)
| c(f(X2))
| g(X2) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_13,plain,
! [X2] :
( ~ e(X2)
| c(f(X2))
| g(X2) ),
inference(specialize,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
( ~ c(X4)
| ~ p(X4) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ c(f(skolemFOFtoCNF_A))
| ~ p(f(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_0:[bind(X4,$fot(f(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_2,plain,
( ~ s(skolemFOFtoCNF_A,Y)
| p(Y) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ s(skolemFOFtoCNF_A,f(skolemFOFtoCNF_A))
| p(f(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_2:[bind(Y,$fot(f(skolemFOFtoCNF_A)))]]) ).
cnf(refute_0_4,plain,
e(skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_5,plain,
( ~ e(X)
| g(X)
| s(X,f(X)) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_6,plain,
( ~ e(skolemFOFtoCNF_A)
| g(skolemFOFtoCNF_A)
| s(skolemFOFtoCNF_A,f(skolemFOFtoCNF_A)) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_7,plain,
( g(skolemFOFtoCNF_A)
| s(skolemFOFtoCNF_A,f(skolemFOFtoCNF_A)) ),
inference(resolve,[$cnf( e(skolemFOFtoCNF_A) )],[refute_0_4,refute_0_6]) ).
cnf(refute_0_8,plain,
p(skolemFOFtoCNF_A),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_9,plain,
( ~ g(X3)
| ~ p(X3) ),
inference(canonicalize,[],[normalize_0_11]) ).
cnf(refute_0_10,plain,
( ~ g(skolemFOFtoCNF_A)
| ~ p(skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_9:[bind(X3,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_11,plain,
~ g(skolemFOFtoCNF_A),
inference(resolve,[$cnf( p(skolemFOFtoCNF_A) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
s(skolemFOFtoCNF_A,f(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( g(skolemFOFtoCNF_A) )],[refute_0_7,refute_0_11]) ).
cnf(refute_0_13,plain,
p(f(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( s(skolemFOFtoCNF_A,f(skolemFOFtoCNF_A)) )],[refute_0_12,refute_0_3]) ).
cnf(refute_0_14,plain,
~ c(f(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( p(f(skolemFOFtoCNF_A)) )],[refute_0_13,refute_0_1]) ).
cnf(refute_0_15,plain,
( ~ e(X2)
| c(f(X2))
| g(X2) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_16,plain,
( ~ e(skolemFOFtoCNF_A)
| c(f(skolemFOFtoCNF_A))
| g(skolemFOFtoCNF_A) ),
inference(subst,[],[refute_0_15:[bind(X2,$fot(skolemFOFtoCNF_A))]]) ).
cnf(refute_0_17,plain,
( c(f(skolemFOFtoCNF_A))
| g(skolemFOFtoCNF_A) ),
inference(resolve,[$cnf( e(skolemFOFtoCNF_A) )],[refute_0_4,refute_0_16]) ).
cnf(refute_0_18,plain,
c(f(skolemFOFtoCNF_A)),
inference(resolve,[$cnf( g(skolemFOFtoCNF_A) )],[refute_0_17,refute_0_11]) ).
cnf(refute_0_19,plain,
$false,
inference(resolve,[$cnf( c(f(skolemFOFtoCNF_A)) )],[refute_0_18,refute_0_14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN943+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 11:46:28 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------