%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 01:28:15 PM UTC 2026
% Result : Theorem 0.08s 5.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 33 ( 8 unt; 4 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 60 ( 28 ~; 23 |; 3 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 7 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 12 ( 10 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] :
( ( not_drunk(A)
& drunk(A) )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A] :
( neg_psi
& drunk(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
( neg_psi
=> ? [A] : not_drunk(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ goal,
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
! [A] :
( goal
| ~ not_drunk(A)
| ~ drunk(A) ),
inference(pre_NNF_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
( goal
| ! [A] :
( ~ not_drunk(A)
| ~ drunk(A) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f8,plain,
! [X0] :
( goal
| ~ not_drunk(X0)
| ~ drunk(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
( neg_psi
& ! [A] : drunk(A) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0] : drunk(X0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
neg_psi,
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f12,plain,
( ? [A] : not_drunk(A)
| ~ neg_psi ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
( not_drunk(sK0_skl)
| ~ neg_psi ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(A,sK0_skl)],[f12]) ).
fof(f14,plain,
( not_drunk(sK0_skl)
| ~ neg_psi ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f15,plain,
~ goal,
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f16,definition,
! [X0] :
( sQ0_spl
<=> ( ~ not_drunk(X0)
| ~ drunk(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f17,plain,
! [X0] :
( ~ sQ0_spl
| ~ not_drunk(X0)
| ~ drunk(X0) ),
inference(component_clause,[status(thm)],[f16]) ).
fof(f19,definition,
( sQ1_spl
<=> goal ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f20,plain,
( ~ sQ1_spl
| goal ),
inference(component_clause,[status(thm)],[f19]) ).
fof(f22,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f8,f16,f19]) ).
fof(f23,definition,
( sQ2_spl
<=> neg_psi ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f25,plain,
( sQ2_spl
| ~ neg_psi ),
inference(component_clause,[status(thm)],[f23]) ).
fof(f26,definition,
( sQ3_spl
<=> not_drunk(sK0_skl) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f27,plain,
( ~ sQ3_spl
| not_drunk(sK0_skl) ),
inference(component_clause,[status(thm)],[f26]) ).
fof(f29,plain,
( sQ3_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f14,f23,f26]) ).
fof(f30,plain,
( sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f25,f11]) ).
fof(f31,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f30]) ).
fof(f32,plain,
( ~ sQ3_spl
| ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f27,f33]) ).
fof(f33,plain,
! [X0] :
( ~ sQ0_spl
| ~ not_drunk(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f17,f10]) ).
fof(f34,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(contradiction_clause,[status(thm)],[f32]) ).
fof(f35,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f20,f15]) ).
fof(f36,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f35]) ).
fof(f37,plain,
$false,
inference(sat_refutation,[status(thm)],[f22,f29,f31,f34,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC011+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n009.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Mon Sep 21 01:27:32 UTC 2026
% 0.08/5.36 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.08/5.39 % Refutation found
% 0.08/5.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.41 % Elapsed time: 0.042618 seconds
% 0.14/5.41 % CPU time: 0.130933 seconds
% 0.14/5.41 % Total memory used: 51.776 MB
% 0.14/5.41 % Net memory used: 51.202 MB
%------------------------------------------------------------------------------