%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN060+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 : 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 03:15:04 PM UTC 2026
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 8 unt; 1 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 48 ( 19 ~; 15 |; 10 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 19 ( 18 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X] :
( ( big_g(X)
| big_f(X) )
=> ~ big_h(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X] :
( ( big_g(X)
=> ~ big_i(X) )
=> ( big_h(X)
& big_f(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,conjecture,
! [X] : big_i(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ ! [X] : big_i(X),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
! [X] :
( ~ big_h(X)
| ( ~ big_g(X)
& ~ big_f(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0] :
( ~ big_h(X0)
| ~ big_f(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f8,plain,
! [X] :
( ( big_h(X)
& big_f(X) )
| ( big_i(X)
& big_g(X) ) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f9,definition,
! [X] :
( sP0_prd(X)
<=> ( big_i(X)
& big_g(X) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f10,plain,
! [X] :
( ( big_h(X)
& big_f(X) )
| sP0_prd(X) ),
inference(formula_renaming,[status(thm)],[f8,f9]) ).
fof(f11,plain,
! [X0] :
( big_f(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0] :
( big_h(X0)
| sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f13,plain,
? [X] : ~ big_i(X),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
~ big_i(sK0_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl)],[f13]) ).
fof(f15,plain,
~ big_i(sK0_skl),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f16,plain,
! [X] :
( ( ~ big_i(X)
| ~ big_g(X)
| sP0_prd(X) )
& ( ( big_i(X)
& big_g(X) )
| ~ sP0_prd(X) ) ),
inference(NNF_transformation,[status(thm)],[f9]) ).
fof(f17,plain,
( ! [X] :
( ~ big_i(X)
| ~ big_g(X)
| sP0_prd(X) )
& ! [X] :
( ( big_i(X)
& big_g(X) )
| ~ sP0_prd(X) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f19,plain,
! [X0] :
( big_i(X0)
| ~ sP0_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f22,plain,
! [X0] :
( ~ big_f(X0)
| sP0_prd(X0) ),
inference(resolution,[status(thm)],[f12,f6]) ).
fof(f23,plain,
! [X0] : sP0_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f22,f11]) ).
fof(f24,plain,
! [X0] : big_i(X0),
inference(backward_subsumption_resolution,[status(thm)],[f19,f23]) ).
fof(f26,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f15,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN060+1 : TPTP v9.3.1. Released v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:36:12 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.043322 seconds
% 0.13/0.42 % CPU time: 0.113705 seconds
% 0.13/0.42 % Total memory used: 16.538 MB
% 0.13/0.42 % Net memory used: 15.983 MB
%------------------------------------------------------------------------------