%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN050+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 : n001.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 03:15:01 PM UTC 2026
% Result : Theorem 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 5 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 47 ( 14 ~; 9 |; 18 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 40 ( 30 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ! [X,Y] :
? [Z] :
! [W] :
( ( big_q(Y)
& big_p(X) )
=> ( big_s(W)
& big_r(Z) ) )
=> ? [X1,Y1] :
( ( big_q(Y1)
& big_p(X1) )
=> ? [Z1] : big_r(Z1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ ( ! [X,Y] :
? [Z] :
! [W] :
( ( big_q(Y)
& big_p(X) )
=> ( big_s(W)
& big_r(Z) ) )
=> ? [X1,Y1] :
( ( big_q(Y1)
& big_p(X1) )
=> ? [Z1] : big_r(Z1) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X1,Y1] :
( ! [Z1] : ~ big_r(Z1)
& big_q(Y1)
& big_p(X1) )
& ! [X,Y] :
? [Z] :
! [W] :
( ( big_s(W)
& big_r(Z) )
| ~ big_q(Y)
| ~ big_p(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f4,plain,
( ! [Z1] : ~ big_r(Z1)
& ! [Y1] : big_q(Y1)
& ! [X1] : big_p(X1)
& ( ( ! [W] : big_s(W)
& ? [Z] : big_r(Z) )
| ! [Y] : ~ big_q(Y)
| ! [X] : ~ big_p(X) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f5,plain,
( ! [Z1] : ~ big_r(Z1)
& ! [Y1] : big_q(Y1)
& ! [X1] : big_p(X1)
& ( ( ! [W] : big_s(W)
& big_r(sK0_skl) )
| ! [Y] : ~ big_q(Y)
| ! [X] : ~ big_p(X) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl)],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( big_r(sK0_skl)
| ~ big_q(X1)
| ~ big_p(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X0] : big_p(X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f9,plain,
! [X0] : big_q(X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f10,plain,
! [X0] : ~ big_r(X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f12,plain,
! [X0] :
( big_r(sK0_skl)
| ~ big_q(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f6,f8]) ).
fof(f14,plain,
big_r(sK0_skl),
inference(forward_subsumption_resolution,[status(thm)],[f12,f9]) ).
fof(f15,plain,
$false,
inference(resolution,[status(thm)],[f14,f10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN050+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n001.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 10:45:59 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.46 % Refutation found
% 0.16/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.49 % Elapsed time: 0.058311 seconds
% 0.16/0.49 % CPU time: 0.161119 seconds
% 0.16/0.49 % Total memory used: 41.471 MB
% 0.16/0.49 % Net memory used: 41.012 MB
%------------------------------------------------------------------------------