%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : MSC004-1 : TPTP v9.3.1. Released v1.0.0.
% 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 01:28:13 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 37 ( 8 unt; 2 def)
% Number of atoms : 77 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 71 ( 31 ~; 38 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-5 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts] :
( ~ has_parts(Big_part,Number_of_mid_parts,Mid_part)
| has_parts(Big_part,times(Number_of_mid_parts,Number_of_small_parts),Small_part)
| in(object_in(Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts),Mid_part) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Big_part,Number_of_mid_parts,Number_of_small_parts,Small_part,Mid_part] :
( ~ has_parts(object_in(Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts),Number_of_small_parts,Small_part)
| ~ has_parts(Big_part,Number_of_mid_parts,Mid_part)
| has_parts(Big_part,times(Number_of_mid_parts,Number_of_small_parts),Small_part) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
in(john,boy),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X] :
( ~ in(X,boy)
| in(X,human) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [X] :
( ~ in(X,hand)
| has_parts(X,n5,fingers) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [X] :
( ~ in(X,human)
| has_parts(X,n2,arm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [X] :
( ~ in(X,arm)
| has_parts(X,n1,hand) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ has_parts(john,times(times(n2,n1),n5),fingers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [Big_part,Mid_part,Number_of_mid_parts] :
( ~ has_parts(Big_part,Number_of_mid_parts,Mid_part)
| ! [Small_part,Number_of_small_parts] :
( has_parts(Big_part,times(Number_of_mid_parts,Number_of_small_parts),Small_part)
| in(object_in(Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts),Mid_part) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] :
( ~ has_parts(X0,X3,X1)
| has_parts(X0,times(X3,X4),X2)
| in(object_in(X0,X1,X2,X3,X4),X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] :
( ~ has_parts(object_in(X0,X4,X3,X1,X2),X2,X3)
| ~ has_parts(X0,X1,X4)
| has_parts(X0,times(X1,X2),X3) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
in(john,boy),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
! [X0] :
( ~ in(X0,boy)
| in(X0,human) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0] :
( ~ in(X0,hand)
| has_parts(X0,n5,fingers) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0] :
( ~ in(X0,human)
| has_parts(X0,n2,arm) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
! [X0] :
( ~ in(X0,arm)
| has_parts(X0,n1,hand) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
~ has_parts(john,times(times(n2,n1),n5),fingers),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f18,plain,
! [X0] :
( has_parts(X0,n2,arm)
| ~ in(X0,boy) ),
inference(resolution,[status(thm)],[f13,f15]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ in(X0,boy)
| has_parts(X0,times(n2,X2),X1)
| in(object_in(X0,arm,X1,n2,X2),arm) ),
inference(resolution,[status(thm)],[f10,f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( has_parts(object_in(X0,arm,X2,n2,X1),n1,hand)
| ~ in(X0,boy)
| has_parts(X0,times(n2,X1),X2) ),
inference(resolution,[status(thm)],[f19,f16]) ).
fof(f25,plain,
! [X0] :
( ~ in(X0,boy)
| has_parts(X0,times(n2,n1),hand)
| ~ has_parts(X0,n2,arm)
| has_parts(X0,times(n2,n1),hand) ),
inference(resolution,[status(thm)],[f11,f20]) ).
fof(f29,plain,
! [X0] :
( ~ in(X0,boy)
| ~ has_parts(X0,n2,arm)
| has_parts(X0,times(n2,n1),hand) ),
inference(duplicate_literals_removal,[status(thm)],[f25]) ).
fof(f30,plain,
! [X0] :
( ~ in(X0,boy)
| has_parts(X0,times(n2,n1),hand) ),
inference(forward_subsumption_resolution,[status(thm)],[f29,f18]) ).
fof(f31,plain,
has_parts(john,times(n2,n1),hand),
inference(resolution,[status(thm)],[f30,f12]) ).
fof(f32,plain,
! [X0,X1] :
( has_parts(john,times(times(n2,n1),X1),X0)
| in(object_in(john,hand,X0,times(n2,n1),X1),hand) ),
inference(resolution,[status(thm)],[f31,f10]) ).
fof(f33,plain,
! [X0,X1] :
( has_parts(object_in(john,hand,X1,times(n2,n1),X0),n5,fingers)
| has_parts(john,times(times(n2,n1),X0),X1) ),
inference(resolution,[status(thm)],[f32,f14]) ).
fof(f45,plain,
( ~ has_parts(john,times(n2,n1),hand)
| has_parts(john,times(times(n2,n1),n5),fingers)
| has_parts(john,times(times(n2,n1),n5),fingers) ),
inference(resolution,[status(thm)],[f33,f11]) ).
fof(f47,definition,
( sQ2_spl
<=> has_parts(john,times(times(n2,n1),n5),fingers) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f48,plain,
( ~ sQ2_spl
| has_parts(john,times(times(n2,n1),n5),fingers) ),
inference(component_clause,[status(thm)],[f47]) ).
fof(f50,definition,
( sQ3_spl
<=> has_parts(john,times(n2,n1),hand) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f52,plain,
( sQ3_spl
| ~ has_parts(john,times(n2,n1),hand) ),
inference(component_clause,[status(thm)],[f50]) ).
fof(f53,plain,
( ~ sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f45,f47,f50]) ).
fof(f54,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f48,f17]) ).
fof(f55,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f54]) ).
fof(f56,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f31]) ).
fof(f57,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f56]) ).
fof(f58,plain,
$false,
inference(sat_refutation,[status(thm)],[f53,f55,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n008.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 01:27:54 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.040753 seconds
% 0.10/0.41 % CPU time: 0.090297 seconds
% 0.10/0.41 % Total memory used: 10.055 MB
% 0.10/0.41 % Net memory used: 9.802 MB
%------------------------------------------------------------------------------