%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN074+1 : TPTP v9.3.1. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 : Thu Sep 24 03:15:09 PM UTC 2026
% Result : Theorem 0.14s 10.61s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 32 ( 5 unt; 0 def)
% Number of atoms : 103 ( 65 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 116 ( 45 ~; 48 |; 16 &)
% ( 6 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 66 ( 48 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
? [Z,W] :
! [X,Y] :
( big_f(X,Y)
<=> ( Y = W
& X = Z ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,conjecture,
? [Z] :
! [X] :
( ? [W] :
! [Y] :
( big_f(X,Y)
<=> Y = W )
<=> X = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ? [Z] :
! [X] :
( ? [W] :
! [Y] :
( big_f(X,Y)
<=> Y = W )
<=> X = Z ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,plain,
? [Z,W] :
! [X,Y] :
( ( Y != W
| X != Z
| big_f(X,Y) )
& ( ( Y = W
& X = Z )
| ~ big_f(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f1]) ).
fof(f5,plain,
? [Z,W] :
( ! [X,Y] :
( Y != W
| X != Z
| big_f(X,Y) )
& ! [X,Y] :
( ( Y = W
& X = Z )
| ~ big_f(X,Y) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f6,plain,
( ! [X,Y] :
( Y != sK1_skl
| X != sK0_skl
| big_f(X,Y) )
& ! [X,Y] :
( ( Y = sK1_skl
& X = sK0_skl )
| ~ big_f(X,Y) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Z,sK0_skl),skolemize(W,sK1_skl)],[f5]) ).
fof(f7,plain,
! [X0,X1] :
( X0 = sK0_skl
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( X1 = sK1_skl
| ~ big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f9,plain,
! [X0,X1] :
( X1 != sK1_skl
| X0 != sK0_skl
| big_f(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f10,plain,
! [Z] :
? [X] :
( ? [W] :
! [Y] :
( big_f(X,Y)
<=> Y = W )
<~> X = Z ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [Z] :
? [X] :
( ( X != Z
| ! [W] :
? [Y] :
( ( Y = W
| big_f(X,Y) )
& ( Y != W
| ~ big_f(X,Y) ) ) )
& ( X = Z
| ? [W] :
! [Y] :
( ( Y != W
| big_f(X,Y) )
& ( Y = W
| ~ big_f(X,Y) ) ) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [Z] :
? [X] :
( ( X != Z
| ! [W] :
? [Y] :
( ( Y = W
| big_f(X,Y) )
& ( Y != W
| ~ big_f(X,Y) ) ) )
& ( X = Z
| ? [W] :
( ! [Y] :
( Y != W
| big_f(X,Y) )
& ! [Y] :
( Y = W
| ~ big_f(X,Y) ) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f13,plain,
! [Z] :
( ( sK2_skl(Z) != Z
| ! [W] :
( ( sK4_skl(W,Z) = W
| big_f(sK2_skl(Z),sK4_skl(W,Z)) )
& ( sK4_skl(W,Z) != W
| ~ big_f(sK2_skl(Z),sK4_skl(W,Z)) ) ) )
& ( sK2_skl(Z) = Z
| ( ! [Y] :
( Y != sK3_skl(Z)
| big_f(sK2_skl(Z),Y) )
& ! [Y] :
( Y = sK3_skl(Z)
| ~ big_f(sK2_skl(Z),Y) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK2_skl(Z)),skolemize(W,sK3_skl(Z)),skolemize(Y,sK4_skl(W,Z))],[f12]) ).
fof(f15,plain,
! [X0,X1] :
( sK2_skl(X0) = X0
| X1 != sK3_skl(X0)
| big_f(sK2_skl(X0),X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f16,plain,
! [X0,X1] :
( sK2_skl(X0) != X0
| sK4_skl(X1,X0) != X1
| ~ big_f(sK2_skl(X0),sK4_skl(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( sK2_skl(X0) != X0
| sK4_skl(X1,X0) = X1
| big_f(sK2_skl(X0),sK4_skl(X1,X0)) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f18,plain,
big_f(sK0_skl,sK1_skl),
inference(destructive_equality_resolution,[status(thm)],[f9]) ).
fof(f19,plain,
! [X0] :
( sK2_skl(X0) = X0
| big_f(sK2_skl(X0),sK3_skl(X0)) ),
inference(destructive_equality_resolution,[status(thm)],[f15]) ).
fof(f22,plain,
! [X0] :
( sK2_skl(X0) = X0
| sK2_skl(X0) = sK0_skl ),
inference(resolution,[status(thm)],[f7,f19]) ).
fof(f23,plain,
! [X0] :
( sK4_skl(X0,sK0_skl) = X0
| big_f(sK2_skl(sK0_skl),sK4_skl(X0,sK0_skl)) ),
inference(resolution,[status(thm)],[f22,f17]) ).
fof(f29,plain,
! [X0] :
( sK2_skl(X0) = X0
| sK0_skl != X0 ),
inference(equality_factoring,[status(thm)],[f22]) ).
fof(f37,plain,
sK2_skl(sK0_skl) = sK0_skl,
inference(destructive_equality_resolution,[status(thm)],[f29]) ).
fof(f41,plain,
! [X0] :
( sK4_skl(X0,sK0_skl) = X0
| big_f(sK0_skl,sK4_skl(X0,sK0_skl)) ),
inference(backward_demodulation,[status(thm)],[f37,f23]) ).
fof(f65,plain,
! [X0] :
( sK4_skl(X0,sK0_skl) = sK1_skl
| sK4_skl(X0,sK0_skl) = X0 ),
inference(resolution,[status(thm)],[f41,f8]) ).
fof(f82,plain,
! [X0] :
( sK4_skl(X0,sK0_skl) = sK1_skl
| X0 != sK1_skl ),
inference(equality_factoring,[status(thm)],[f65]) ).
fof(f96,plain,
sK4_skl(sK1_skl,sK0_skl) = sK1_skl,
inference(destructive_equality_resolution,[status(thm)],[f82]) ).
fof(f97,plain,
( sK2_skl(sK0_skl) != sK0_skl
| ~ big_f(sK2_skl(sK0_skl),sK4_skl(sK1_skl,sK0_skl)) ),
inference(resolution,[status(thm)],[f96,f16]) ).
fof(f104,plain,
( sK2_skl(sK0_skl) != sK0_skl
| ~ big_f(sK0_skl,sK4_skl(sK1_skl,sK0_skl)) ),
inference(forward_demodulation,[status(thm)],[f37,f97]) ).
fof(f105,plain,
( sK2_skl(sK0_skl) != sK0_skl
| ~ big_f(sK0_skl,sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f96,f104]) ).
fof(f106,plain,
( sK0_skl != sK0_skl
| ~ big_f(sK0_skl,sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f37,f105]) ).
fof(f107,plain,
~ big_f(sK0_skl,sK1_skl),
inference(trivial_equality_resolution,[status(thm)],[f106]) ).
fof(f108,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f107,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN074+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.57 % Computer : n014.cluster.edu
% 0.09/10.57 % Model : x86_64 x86_64
% 0.09/10.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.57 % Memory : 8046.5625MB
% 0.09/10.57 % OS : Linux 6.8.0-71-generic
% 0.09/10.57 % CPULimit : 300
% 0.09/10.57 % WCLimit : 300
% 0.09/10.57 % DateTime : Mon Sep 21 10:42:16 UTC 2026
% 0.09/10.57 % CPUTime :
% 0.09/10.58 % Drodi V4.1.1
% 0.14/10.61 % Refutation found
% 0.14/10.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.63 % Elapsed time: 0.049268 seconds
% 0.14/10.63 % CPU time: 0.138486 seconds
% 0.14/10.63 % Total memory used: 65.192 MB
% 0.14/10.63 % Net memory used: 64.772 MB
%------------------------------------------------------------------------------