%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MSC004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 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 : Fri Sep 25 02:13:25 PM UTC 2026
% Result : Unsatisfiable 4.58s 6.11s
% Output : Proof 4.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of formulae : 44 ( 12 unt; 0 def)
% Number of atoms : 84 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 74 ( 34 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-5 aty)
% Number of variables : 68 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f5,hypothesis,
( ~ in(X,human)
| has_parts(X,n2,arm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',humans_have_two_arms) ).
fof(f5_nnf,plain,
! [X] :
( ~ in(X,human)
| has_parts(X,n2,arm) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( ~ in(X,human)
| has_parts(X,n2,arm) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ in(X0,human)
| has_parts(X0,n2,arm) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(f3,hypothesis,
( ~ in(X,boy)
| in(X,human) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_boy_in_human) ).
fof(f3_nnf,plain,
! [X] :
( ~ in(X,boy)
| in(X,human) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X] :
( ~ in(X,boy)
| in(X,human) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( ~ in(X0,boy)
| in(X0,human) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f2,hypothesis,
in(john,boy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',john_is_a_boy) ).
fof(f2_nnf,plain,
in(john,boy),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
in(john,boy),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(p8,plain,
in(john,human),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(p9,plain,
has_parts(john,n2,arm),
inference(resolution,[status(thm)],[c5,p8]) ).
cnf(f0,axiom,
( ~ 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/sandbox2/benchmark/theBenchmark.p',not_part_inheritance) ).
fof(f0_nnf,plain,
! [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) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [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) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( ~ 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(esa)],[f0_sk]) ).
cnf(p10,plain,
( has_parts(john,times(n2,X1),X0)
| in(object_in(john,arm,X0,n2,X1),arm) ),
inference(resolution,[status(thm)],[p9,c0]) ).
cnf(f6,hypothesis,
( ~ in(X,arm)
| has_parts(X,n1,hand) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arms_have_one_hand) ).
fof(f6_nnf,plain,
! [X] :
( ~ in(X,arm)
| has_parts(X,n1,hand) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [X] :
( ~ in(X,arm)
| has_parts(X,n1,hand) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( ~ in(X0,arm)
| has_parts(X0,n1,hand) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(p12,plain,
( has_parts(object_in(john,arm,X1,n2,X0),n1,hand)
| has_parts(john,times(n2,X0),X1) ),
inference(resolution,[status(thm)],[p10,c6]) ).
cnf(f1,axiom,
( ~ 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/sandbox2/benchmark/theBenchmark.p',part_inheritance) ).
fof(f1_nnf,plain,
! [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) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [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) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( ~ 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(esa)],[f1_sk]) ).
cnf(p11,plain,
( ~ has_parts(object_in(john,arm,X1,n2,X0),X0,X1)
| has_parts(john,times(n2,X0),X1) ),
inference(resolution,[status(thm)],[c1,p9]) ).
cnf(p15,plain,
( has_parts(john,times(n2,n1),hand)
| has_parts(john,times(n2,n1),hand) ),
inference(resolution,[status(thm)],[p12,p11]) ).
cnf(p16,plain,
has_parts(john,times(n2,n1),hand),
inference(factoring,[status(thm)],[p15]) ).
cnf(p18,plain,
( has_parts(john,times(times(n2,n1),X1),X0)
| in(object_in(john,hand,X0,times(n2,n1),X1),hand) ),
inference(resolution,[status(thm)],[p16,c0]) ).
cnf(f4,hypothesis,
( ~ in(X,hand)
| has_parts(X,n5,fingers) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hands_have_5_fingers) ).
fof(f4_nnf,plain,
! [X] :
( ~ in(X,hand)
| has_parts(X,n5,fingers) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( ~ in(X,hand)
| has_parts(X,n5,fingers) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ in(X0,hand)
| has_parts(X0,n5,fingers) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p20,plain,
( 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)],[p18,c4]) ).
cnf(p19,plain,
( ~ has_parts(object_in(john,hand,X1,times(n2,n1),X0),X0,X1)
| has_parts(john,times(times(n2,n1),X0),X1) ),
inference(resolution,[status(thm)],[p16,c1]) ).
cnf(p23,plain,
( has_parts(john,times(times(n2,n1),n5),fingers)
| has_parts(john,times(times(n2,n1),n5),fingers) ),
inference(resolution,[status(thm)],[p20,p19]) ).
cnf(p24,plain,
has_parts(john,times(times(n2,n1),n5),fingers),
inference(factoring,[status(thm)],[p23]) ).
cnf(f7,negated_conjecture,
~ has_parts(john,times(times(n2,n1),n5),fingers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_john_has_10_fingers) ).
fof(f7_nnf,plain,
~ has_parts(john,times(times(n2,n1),n5),fingers),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
~ has_parts(john,times(times(n2,n1),n5),fingers),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
~ has_parts(john,times(times(n2,n1),n5),fingers),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p25,plain,
$false,
inference(resolution,[status(thm)],[p24,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/5.38 % Computer : n017.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Thu Sep 24 01:21:51 UTC 2026
% 0.11/5.39 % CPUTime :
% 0.11/5.39 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 4.58/6.11 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.58/6.11 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------