%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN065+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 : n002.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 03:15:06 PM UTC 2026
% Result : Theorem 0.10s 5.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 14 unt; 1 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 50 ( 23 ~; 16 |; 8 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 42 ( 37 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
? [Y] : big_f(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
? [Y] : big_g(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] :
( ( big_g(X,Y)
| big_f(X,Y) )
=> ! [Z] :
( ( big_g(Y,Z)
| big_f(Y,Z) )
=> big_h(X,Z) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,conjecture,
! [X] :
? [Y] : big_h(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ ! [X] :
? [Y] : big_h(X,Y),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [X] : big_f(X,sK0_skl(X)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f1]) ).
fof(f7,plain,
! [X0] : big_f(X0,sK0_skl(X0)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f8,plain,
! [X] : big_g(X,sK1_skl(X)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Y,sK1_skl(X))],[f2]) ).
fof(f9,plain,
! [X0] : big_g(X0,sK1_skl(X0)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [X,Y] :
( ! [Z] :
( big_h(X,Z)
| ( ~ big_g(Y,Z)
& ~ big_f(Y,Z) ) )
| ( ~ big_g(X,Y)
& ~ big_f(X,Y) ) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f11,definition,
! [X,Y] :
( sP0_prd(Y,X)
<=> ( ~ big_g(X,Y)
& ~ big_f(X,Y) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f12,plain,
! [X,Y] :
( ! [Z] :
( big_h(X,Z)
| ( ~ big_g(Y,Z)
& ~ big_f(Y,Z) ) )
| sP0_prd(Y,X) ),
inference(formula_renaming,[status(thm)],[f10,f11]) ).
fof(f13,plain,
! [X0,X1,X2] :
( big_h(X1,X2)
| ~ big_f(X0,X2)
| sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f15,plain,
? [X] :
! [Y] : ~ big_h(X,Y),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f16,plain,
! [Y] : ~ big_h(sK2_skl,Y),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(X,sK2_skl)],[f15]) ).
fof(f17,plain,
! [X0] : ~ big_h(sK2_skl,X0),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f18,plain,
! [X,Y] :
( ( big_g(X,Y)
| big_f(X,Y)
| sP0_prd(Y,X) )
& ( ( ~ big_g(X,Y)
& ~ big_f(X,Y) )
| ~ sP0_prd(Y,X) ) ),
inference(NNF_transformation,[status(thm)],[f11]) ).
fof(f19,plain,
( ! [X,Y] :
( big_g(X,Y)
| big_f(X,Y)
| sP0_prd(Y,X) )
& ! [X,Y] :
( ( ~ big_g(X,Y)
& ~ big_f(X,Y) )
| ~ sP0_prd(Y,X) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f21,plain,
! [X0,X1] :
( ~ big_g(X1,X0)
| ~ sP0_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f23,plain,
! [X0,X1] :
( ~ big_f(X0,X1)
| sP0_prd(X0,sK2_skl) ),
inference(resolution,[status(thm)],[f13,f17]) ).
fof(f24,plain,
! [X0] : sP0_prd(X0,sK2_skl),
inference(resolution,[status(thm)],[f23,f7]) ).
fof(f25,plain,
! [X0] : ~ big_g(sK2_skl,X0),
inference(resolution,[status(thm)],[f24,f21]) ).
fof(f27,plain,
$false,
inference(resolution,[status(thm)],[f25,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN065+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.36 % Computer : n002.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Mon Sep 21 10:44:08 UTC 2026
% 0.10/5.36 % CPUTime :
% 0.10/5.37 % Drodi V4.1.1
% 0.10/5.39 % Refutation found
% 0.10/5.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.41 % Elapsed time: 0.045624 seconds
% 0.14/5.41 % CPU time: 0.114872 seconds
% 0.14/5.41 % Total memory used: 16.588 MB
% 0.14/5.41 % Net memory used: 16.042 MB
%------------------------------------------------------------------------------