%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV087+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 02:46:36 PM UTC 2026
% Result : Theorem 0.10s 0.61s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 4 unt; 1 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 40 ( 16 ~; 7 |; 10 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f51,axiom,
true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( geq(pv65,tptp_float_0_001)
=> ( ( gt(plus(n1,loopcounter),n1)
=> true )
& ( ~ gt(plus(n1,loopcounter),n1)
=> true ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( geq(pv65,tptp_float_0_001)
=> ( ( gt(plus(n1,loopcounter),n1)
=> true )
& ( ~ gt(plus(n1,loopcounter),n1)
=> true ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f242,plain,
true,
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f244,plain,
( ( ( ~ true
& gt(plus(n1,loopcounter),n1) )
| ( ~ true
& ~ gt(plus(n1,loopcounter),n1) ) )
& geq(pv65,tptp_float_0_001) ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f245,definition,
( sP3_prd
<=> ( ~ true
& ~ gt(plus(n1,loopcounter),n1) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f246,plain,
( ( ( ~ true
& gt(plus(n1,loopcounter),n1) )
| sP3_prd )
& geq(pv65,tptp_float_0_001) ),
inference(formula_renaming,[status(thm)],[f244,f245]) ).
fof(f249,plain,
( ~ true
| sP3_prd ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f316,plain,
( ( true
| gt(plus(n1,loopcounter),n1)
| sP3_prd )
& ( ( ~ true
& ~ gt(plus(n1,loopcounter),n1) )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f245]) ).
fof(f318,plain,
( ~ true
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f316]) ).
fof(f330,plain,
~ true,
inference(forward_subsumption_resolution,[status(thm)],[f318,f249]) ).
fof(f331,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f242,f330]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV087+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % Computer : n008.cluster.edu
% 0.10/0.56 % Model : x86_64 x86_64
% 0.10/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.56 % Memory : 8046.5625MB
% 0.10/0.56 % OS : Linux 6.8.0-71-generic
% 0.10/0.56 % CPULimit : 300
% 0.10/0.56 % WCLimit : 300
% 0.10/0.56 % DateTime : Mon Sep 21 08:31:11 UTC 2026
% 0.10/0.57 % CPUTime :
% 0.10/0.58 % Drodi V4.1.1
% 0.10/0.61 % Refutation found
% 0.10/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.64 % Elapsed time: 0.066431 seconds
% 0.15/0.64 % CPU time: 0.159979 seconds
% 0.15/0.64 % Total memory used: 108.379 MB
% 0.15/0.64 % Net memory used: 108.213 MB
%------------------------------------------------------------------------------