%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN075+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 : n015.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 0.15s 5.40s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of formulae : 35 ( 5 unt; 0 def)
% Number of atoms : 110 ( 70 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 120 ( 45 ~; 52 |; 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 : 69 ( 51 !; 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,
? [W] :
! [Y] :
( ? [Z] :
! [X] :
( big_f(X,Y)
<=> X = Z )
<=> Y = W ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
~ ? [W] :
! [Y] :
( ? [Z] :
! [X] :
( big_f(X,Y)
<=> X = Z )
<=> Y = W ),
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,
! [W] :
? [Y] :
( ? [Z] :
! [X] :
( big_f(X,Y)
<=> X = Z )
<~> Y = W ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f11,plain,
! [W] :
? [Y] :
( ( Y != W
| ! [Z] :
? [X] :
( ( X = Z
| big_f(X,Y) )
& ( X != Z
| ~ big_f(X,Y) ) ) )
& ( Y = W
| ? [Z] :
! [X] :
( ( X != Z
| big_f(X,Y) )
& ( X = Z
| ~ big_f(X,Y) ) ) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [W] :
? [Y] :
( ( Y != W
| ! [Z] :
? [X] :
( ( X = Z
| big_f(X,Y) )
& ( X != Z
| ~ big_f(X,Y) ) ) )
& ( Y = W
| ? [Z] :
( ! [X] :
( X != Z
| big_f(X,Y) )
& ! [X] :
( X = Z
| ~ big_f(X,Y) ) ) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f13,plain,
! [W] :
( ( sK2_skl(W) != W
| ! [Z] :
( ( sK4_skl(Z,W) = Z
| big_f(sK4_skl(Z,W),sK2_skl(W)) )
& ( sK4_skl(Z,W) != Z
| ~ big_f(sK4_skl(Z,W),sK2_skl(W)) ) ) )
& ( sK2_skl(W) = W
| ( ! [X] :
( X != sK3_skl(W)
| big_f(X,sK2_skl(W)) )
& ! [X] :
( X = sK3_skl(W)
| ~ big_f(X,sK2_skl(W)) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(Y,sK2_skl(W)),skolemize(Z,sK3_skl(W)),skolemize(X,sK4_skl(Z,W))],[f12]) ).
fof(f15,plain,
! [X0,X1] :
( sK2_skl(X1) = X1
| X0 != sK3_skl(X1)
| big_f(X0,sK2_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f16,plain,
! [X0,X1] :
( sK2_skl(X1) != X1
| sK4_skl(X0,X1) != X0
| ~ big_f(sK4_skl(X0,X1),sK2_skl(X1)) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( sK2_skl(X1) != X1
| sK4_skl(X0,X1) = X0
| big_f(sK4_skl(X0,X1),sK2_skl(X1)) ),
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(sK3_skl(X0),sK2_skl(X0)) ),
inference(destructive_equality_resolution,[status(thm)],[f15]) ).
fof(f22,plain,
! [X0] :
( sK2_skl(X0) = X0
| sK3_skl(X0) = sK0_skl ),
inference(resolution,[status(thm)],[f7,f19]) ).
fof(f23,plain,
! [X0] :
( sK2_skl(X0) = X0
| sK2_skl(X0) = X0
| big_f(sK0_skl,sK2_skl(X0)) ),
inference(paramodulation,[status(thm)],[f22,f19]) ).
fof(f24,plain,
! [X0] :
( sK2_skl(X0) = X0
| big_f(sK0_skl,sK2_skl(X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f23]) ).
fof(f28,plain,
! [X0] :
( sK2_skl(X0) = X0
| sK2_skl(X0) = sK1_skl ),
inference(resolution,[status(thm)],[f8,f24]) ).
fof(f31,plain,
! [X0] :
( sK4_skl(X0,sK1_skl) = X0
| big_f(sK4_skl(X0,sK1_skl),sK2_skl(sK1_skl)) ),
inference(resolution,[status(thm)],[f28,f17]) ).
fof(f38,plain,
! [X0] :
( sK2_skl(X0) = X0
| sK1_skl != X0 ),
inference(equality_factoring,[status(thm)],[f28]) ).
fof(f47,plain,
sK2_skl(sK1_skl) = sK1_skl,
inference(destructive_equality_resolution,[status(thm)],[f38]) ).
fof(f58,plain,
! [X0] :
( sK4_skl(X0,sK1_skl) = X0
| big_f(sK4_skl(X0,sK1_skl),sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f47,f31]) ).
fof(f60,plain,
! [X0] :
( sK4_skl(X0,sK1_skl) = sK0_skl
| sK4_skl(X0,sK1_skl) = X0 ),
inference(resolution,[status(thm)],[f58,f7]) ).
fof(f80,plain,
! [X0] :
( sK4_skl(X0,sK1_skl) = sK0_skl
| X0 != sK0_skl ),
inference(equality_factoring,[status(thm)],[f60]) ).
fof(f94,plain,
sK4_skl(sK0_skl,sK1_skl) = sK0_skl,
inference(destructive_equality_resolution,[status(thm)],[f80]) ).
fof(f95,plain,
( sK2_skl(sK1_skl) != sK1_skl
| ~ big_f(sK4_skl(sK0_skl,sK1_skl),sK2_skl(sK1_skl)) ),
inference(resolution,[status(thm)],[f94,f16]) ).
fof(f102,plain,
( sK2_skl(sK1_skl) != sK1_skl
| ~ big_f(sK0_skl,sK2_skl(sK1_skl)) ),
inference(forward_demodulation,[status(thm)],[f94,f95]) ).
fof(f103,plain,
( sK2_skl(sK1_skl) != sK1_skl
| ~ big_f(sK0_skl,sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f47,f102]) ).
fof(f104,plain,
( sK1_skl != sK1_skl
| ~ big_f(sK0_skl,sK1_skl) ),
inference(forward_demodulation,[status(thm)],[f47,f103]) ).
fof(f105,plain,
~ big_f(sK0_skl,sK1_skl),
inference(trivial_equality_resolution,[status(thm)],[f104]) ).
fof(f106,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f105,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN075+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/5.37 % Computer : n015.cluster.edu
% 0.11/5.37 % Model : x86_64 x86_64
% 0.11/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.37 % Memory : 8046.5625MB
% 0.11/5.37 % OS : Linux 6.8.0-71-generic
% 0.11/5.37 % CPULimit : 300
% 0.11/5.37 % WCLimit : 300
% 0.11/5.37 % DateTime : Mon Sep 21 10:45:28 UTC 2026
% 0.11/5.37 % CPUTime :
% 0.11/5.38 % Drodi V4.1.1
% 0.15/5.40 % Refutation found
% 0.15/5.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.42 % Elapsed time: 0.044159 seconds
% 0.15/5.42 % CPU time: 0.129123 seconds
% 0.15/5.42 % Total memory used: 62.470 MB
% 0.15/5.42 % Net memory used: 62.083 MB
%------------------------------------------------------------------------------