%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV047+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 02:46:31 PM UTC 2026
% Result : Theorem 0.11s 0.62s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 4 unt; 0 def)
% Number of atoms : 19 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 15 ( 3 ~; 0 |; 10 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-3 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> true ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) )
=> true ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f249,plain,
true,
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f251,plain,
( ~ true
& leq(pv35,minus(n5,n1))
& leq(n0,pv35)
& pv82 = sum(n0,minus(n135300,n1),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),times(minus(a_select2(x,pv83),a_select2(mu,pv35)),a_select3(q,pv83,pv35))))
& pv78 = sum(n0,minus(n135300,n1),a_select3(q,pv79,pv35)) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f256,plain,
~ true,
inference(cnf_transformation,[status(thm)],[f251]) ).
fof(f340,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f249,f256]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV047+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.58 % Computer : n017.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Mon Sep 21 08:23:57 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.60 % Drodi V4.1.1
% 0.11/0.62 % Refutation found
% 0.11/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.65 % Elapsed time: 0.065015 seconds
% 0.14/0.65 % CPU time: 0.166210 seconds
% 0.14/0.65 % Total memory used: 108.767 MB
% 0.14/0.65 % Net memory used: 108.591 MB
%------------------------------------------------------------------------------