%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : MSC003-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n005.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 6.55s 1.57s
% Output : Proof 6.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of formulae : 64 ( 44 unt; 0 def)
% Number of atoms : 92 ( 36 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-5 aty)
% Number of variables : 83 ( 2 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f7,negated_conjecture,
~ has_parts(john,times(n2,n1),hand),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_john_has_2_hands) ).
fof(f7_nnf,plain,
~ has_parts(john,times(n2,n1),hand),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
~ has_parts(john,times(n2,n1),hand),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
~ has_parts(john,times(n2,n1),hand),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t8,plain,
has_parts(john,times(n2,n1),hand) = false,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t33,plain,
has_parts(john,times(n2,n1),hand) = false,
inference(orient,[status(thm)],[t8]) ).
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/sandbox/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(t15,plain,
ifeq(has_parts(X1,X2,X3),true,ifeq(has_parts(object_in(X1,X3,X4,X2,X5),X5,X4),true,has_parts(X1,times(X2,X5),X4),true),true) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(t22,plain,
ifeq(has_parts(X1,X2,X3),true,ifeq(has_parts(object_in(X1,X3,X4,X2,X5),X5,X4),true,has_parts(X1,times(X2,X5),X4),true),true) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(f6,hypothesis,
( ~ in(X,arm)
| has_parts(X,n1,hand) ),
file('/export/starexec/sandbox/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(t10,plain,
ifeq(in(X1,arm),true,has_parts(X1,n1,hand),true) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t26,plain,
ifeq(in(X1,arm),true,has_parts(X1,n1,hand),true) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(f3,hypothesis,
( ~ in(X,boy)
| in(X,human) ),
file('/export/starexec/sandbox/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(hi3,axiom,
ifeq(in(X0,boy),true,in(X0,human),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(f2,hypothesis,
in(john,boy),
file('/export/starexec/sandbox/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(hi2,axiom,
in(john,boy) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h0,plain,
in(john,human) = true,
inference(hyper_resolution,[status(thm)],[hi3,hi2]) ).
cnf(f5,hypothesis,
( ~ in(X,human)
| has_parts(X,n2,arm) ),
file('/export/starexec/sandbox/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(hi5,axiom,
ifeq(in(X0,human),true,has_parts(X0,n2,arm),true) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(h1,plain,
has_parts(john,n2,arm) = true,
inference(hyper_resolution,[status(thm)],[hi5,h0]) ).
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/sandbox/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(hi0,axiom,
ifeq(has_parts(X0,X1,X2),true,or(in(object_in(X0,X2,X3,X1,X4),X2),has_parts(X0,times(X1,X4),X3)),true) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t13,plain,
or(in(object_in(john,arm,X1,n2,X2),arm),has_parts(john,times(n2,X2),X1)) = true,
inference(hyper_resolution,[status(thm)],[hi0,h1]) ).
cnf(t32,plain,
or(in(object_in(john,arm,X1,n2,X2),arm),has_parts(john,times(n2,X2),X1)) = true,
inference(orient,[status(thm)],[t13]) ).
cnf(t34,plain,
true = or(in(object_in(john,arm,hand,n2,n1),arm),false),
inference(cp,[status(thm)],[t32,t33]) ).
cnf(t2,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t17,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t50,plain,
true = in(object_in(john,arm,hand,n2,n1),arm),
inference(step,[status(thm)],[t34,t17]) ).
cnf(t39,plain,
in(object_in(john,arm,hand,n2,n1),arm) = true,
inference(orient,[status(thm)],[t50]) ).
cnf(t40,plain,
true = ifeq(true,true,has_parts(object_in(john,arm,hand,n2,n1),n1,hand),true),
inference(cp,[status(thm)],[t26,t39]) ).
cnf(t7,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t16,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t7]) ).
cnf(t51,plain,
true = has_parts(object_in(john,arm,hand,n2,n1),n1,hand),
inference(step,[status(thm)],[t40,t16]) ).
cnf(t41,plain,
has_parts(object_in(john,arm,hand,n2,n1),n1,hand) = true,
inference(orient,[status(thm)],[t51]) ).
cnf(t43,plain,
true = ifeq(has_parts(john,n2,arm),true,ifeq(true,true,has_parts(john,times(n2,n1),hand),true),true),
inference(cp,[status(thm)],[t22,t41]) ).
cnf(t6,plain,
has_parts(john,n2,arm) = true,
inference(hyper_resolution,[status(thm)],[hi5,h0]) ).
cnf(t19,plain,
has_parts(john,n2,arm) = true,
inference(orient,[status(thm)],[t6]) ).
cnf(t52,plain,
true = ifeq(true,true,ifeq(true,true,has_parts(john,times(n2,n1),hand),true),true),
inference(step,[status(thm)],[t43,t19]) ).
cnf(t53,plain,
true = ifeq(true,true,has_parts(john,times(n2,n1),hand),true),
inference(step,[status(thm)],[t52,t16]) ).
cnf(t54,plain,
true = has_parts(john,times(n2,n1),hand),
inference(step,[status(thm)],[t53,t16]) ).
cnf(t55,plain,
true = false,
inference(step,[status(thm)],[t54,t33]) ).
cnf(t45,plain,
false = true,
inference(orient,[status(thm)],[t55]) ).
cnf(t56,plain,
has_parts(john,times(n2,n1),hand) = true,
inference(step,[status(thm)],[t33,t45]) ).
cnf(t46,plain,
has_parts(john,times(n2,n1),hand) = true,
inference(orient,[status(thm)],[t56]) ).
cnf(goal_0,negated_conjecture,
has_parts(john,times(n2,n1),hand) != true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t46]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC003-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.58 % Computer : n005.cluster.edu
% 0.11/0.58 % Model : x86_64 x86_64
% 0.11/0.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.58 % Memory : 8046.5625MB
% 0.11/0.58 % OS : Linux 6.8.0-71-generic
% 0.11/0.58 % CPULimit : 300
% 0.11/0.58 % WCLimit : 300
% 0.11/0.58 % DateTime : Thu Sep 24 01:25:48 UTC 2026
% 0.11/0.58 % CPUTime :
% 0.11/0.58 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 6.55/1.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.55/1.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------