%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWW302+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 03:07:36 PM UTC 2026
% Result : Theorem 1.21s 1.62s
% Output : CNFRefutation 1.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 5 unt; 0 def)
% Number of atoms : 29 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 25 ( 9 ~; 5 |; 4 &)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 20 ( 17 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5241,hypothesis,
! [B_Z,B_s] :
( v_Q_H(B_Z,B_s)
=> v_Q(B_Z,B_s) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5242,conjecture,
! [B_Z,B_s] :
( v_P(B_Z,B_s)
=> ! [B_s_H] :
( ! [B_Z_H] :
( v_P(B_Z_H,B_s)
=> v_Q_H(B_Z_H,B_s_H) )
=> v_Q(B_Z,B_s_H) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5243,negated_conjecture,
~ ! [B_Z,B_s] :
( v_P(B_Z,B_s)
=> ! [B_s_H] :
( ! [B_Z_H] :
( v_P(B_Z_H,B_s)
=> v_Q_H(B_Z_H,B_s_H) )
=> v_Q(B_Z,B_s_H) ) ),
inference(negated_conjecture,[status(cth)],[f5242]) ).
fof(f20149,plain,
! [B_Z,B_s] :
( v_Q(B_Z,B_s)
| ~ v_Q_H(B_Z,B_s) ),
inference(pre_NNF_transformation,[status(thm)],[f5241]) ).
fof(f20150,plain,
! [X0,X1] :
( v_Q(X0,X1)
| ~ v_Q_H(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f20149]) ).
fof(f20151,plain,
? [B_Z,B_s] :
( ? [B_s_H] :
( ~ v_Q(B_Z,B_s_H)
& ! [B_Z_H] :
( v_Q_H(B_Z_H,B_s_H)
| ~ v_P(B_Z_H,B_s) ) )
& v_P(B_Z,B_s) ),
inference(pre_NNF_transformation,[status(thm)],[f5243]) ).
fof(f20152,plain,
( ~ v_Q(sK588_skl,sK590_skl)
& ! [B_Z_H] :
( v_Q_H(B_Z_H,sK590_skl)
| ~ v_P(B_Z_H,sK589_skl) )
& v_P(sK588_skl,sK589_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK588_skl,sK589_skl,sK590_skl]),skolemize(B_Z,sK588_skl),skolemize(B_s,sK589_skl),skolemize(B_s_H,sK590_skl)],[f20151]) ).
fof(f20153,plain,
v_P(sK588_skl,sK589_skl),
inference(cnf_transformation,[status(thm)],[f20152]) ).
fof(f20154,plain,
! [X0] :
( v_Q_H(X0,sK590_skl)
| ~ v_P(X0,sK589_skl) ),
inference(cnf_transformation,[status(thm)],[f20152]) ).
fof(f20155,plain,
~ v_Q(sK588_skl,sK590_skl),
inference(cnf_transformation,[status(thm)],[f20152]) ).
fof(f20986,plain,
v_Q_H(sK588_skl,sK590_skl),
inference(resolution,[status(thm)],[f20154,f20153]) ).
fof(f20987,plain,
v_Q(sK588_skl,sK590_skl),
inference(resolution,[status(thm)],[f20150,f20986]) ).
fof(f20988,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f20987,f20155]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW302+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.46 % Computer : n017.cluster.edu
% 0.14/0.46 % Model : x86_64 x86_64
% 0.14/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.46 % Memory : 8046.5625MB
% 0.14/0.46 % OS : Linux 6.8.0-71-generic
% 0.14/0.46 % CPULimit : 300
% 0.14/0.46 % WCLimit : 300
% 0.14/0.46 % DateTime : Mon Sep 21 09:41:42 UTC 2026
% 0.14/0.46 % CPUTime :
% 1.12/1.45 % Drodi V4.1.1
% 1.21/1.62 % Refutation found
% 1.21/1.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.21/1.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.22/1.88 % Elapsed time: 1.390967 seconds
% 1.22/1.88 % CPU time: 2.379653 seconds
% 1.22/1.88 % Total memory used: 660.286 MB
% 1.22/1.88 % Net memory used: 654.355 MB
%------------------------------------------------------------------------------