%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : MSC004-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 : Sun Sep 27 08:03:16 AM UTC 2026
% Result : Unsatisfiable 9.62s 6.61s
% Output : CNFRefutation 9.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 25 ( 9 unt; 4 nHn; 23 RR)
% Number of literals : 51 ( 0 equ; 27 neg)
% Maximal clause size : 4 ( 2 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 : 38 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_part_inheritance,axiom,
( ~ 'has$uparts'(X0,X3,X1)
| 'has$uparts'(X0,times(X3,X4),X2)
| in('object$uin'(X0,X1,X2,X3,X4),X1) ) ).
cnf(part_inheritance,axiom,
( ~ 'has$uparts'('object$uin'(X0,X4,X3,X1,X2),X2,X3)
| ~ 'has$uparts'(X0,X1,X4)
| 'has$uparts'(X0,times(X1,X2),X3) ) ).
cnf(john_is_a_boy,hypothesis,
in(john,boy) ).
cnf(in_boy_in_human,hypothesis,
( ~ in(X0,boy)
| in(X0,human) ) ).
cnf(hands_have_5_fingers,hypothesis,
( ~ in(X0,hand)
| 'has$uparts'(X0,n5,fingers) ) ).
cnf(humans_have_two_arms,hypothesis,
( ~ in(X0,human)
| 'has$uparts'(X0,n2,arm) ) ).
cnf(arms_have_one_hand,hypothesis,
( ~ in(X0,arm)
| 'has$uparts'(X0,n1,hand) ) ).
cnf(prove_john_has_10_fingers,negated_conjecture,
~ 'has$uparts'(john,times(times(n2,n1),n5),fingers) ).
cnf(c0,plain,
( ~ 'has$uparts'(X0,X3,X1)
| 'has$uparts'(X0,times(X3,X4),X2)
| in('object$uin'(X0,X1,X2,X3,X4),X1) ),
inference(clausification,[status(esa)],[not_part_inheritance]) ).
cnf(c1,plain,
( ~ 'has$uparts'('object$uin'(X0,X4,X3,X1,X2),X2,X3)
| ~ 'has$uparts'(X0,X1,X4)
| 'has$uparts'(X0,times(X1,X2),X3) ),
inference(clausification,[status(esa)],[part_inheritance]) ).
cnf(c2,plain,
in(john,boy),
inference(clausification,[status(esa)],[john_is_a_boy]) ).
cnf(c3,plain,
( ~ in(X0,boy)
| in(X0,human) ),
inference(clausification,[status(esa)],[in_boy_in_human]) ).
cnf(c4,plain,
( ~ in(X0,hand)
| 'has$uparts'(X0,n5,fingers) ),
inference(clausification,[status(esa)],[hands_have_5_fingers]) ).
cnf(c5,plain,
( ~ in(X0,human)
| 'has$uparts'(X0,n2,arm) ),
inference(clausification,[status(esa)],[humans_have_two_arms]) ).
cnf(c6,plain,
( ~ in(X0,arm)
| 'has$uparts'(X0,n1,hand) ),
inference(clausification,[status(esa)],[arms_have_one_hand]) ).
cnf(c7,plain,
~ 'has$uparts'(john,times(times(n2,n1),n5),fingers),
inference(clausification,[status(esa)],[prove_john_has_10_fingers]) ).
cnf(d0,plain,
( 'has$uparts'(X0,times(X2,n5),fingers)
| ~ 'has$uparts'(X0,X2,X1)
| ~ in('object$uin'(X0,X1,fingers,X2,n5),hand) ),
inference(resolution,[status(thm)],[c4,c1]) ).
cnf(d1,plain,
( 'has$uparts'(X0,times(X1,n5),fingers)
| ~ 'has$uparts'(X0,X1,hand)
| 'has$uparts'(X0,times(X1,n5),fingers)
| ~ 'has$uparts'(X0,X1,hand) ),
inference(resolution,[status(thm)],[d0,c0]) ).
cnf(d2,plain,
~ 'has$uparts'(john,times(n2,n1),hand),
inference(resolution,[status(thm)],[d1,c7]) ).
cnf(d3,plain,
( 'has$uparts'(X0,times(X2,n1),hand)
| ~ 'has$uparts'(X0,X2,X1)
| ~ in('object$uin'(X0,X1,hand,X2,n1),arm) ),
inference(resolution,[status(thm)],[c6,c1]) ).
cnf(d4,plain,
( 'has$uparts'(X0,times(X1,n1),hand)
| ~ 'has$uparts'(X0,X1,arm)
| 'has$uparts'(X0,times(X1,n1),hand)
| ~ 'has$uparts'(X0,X1,arm) ),
inference(resolution,[status(thm)],[d3,c0]) ).
cnf(d5,plain,
~ 'has$uparts'(john,n2,arm),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
~ in(john,human),
inference(resolution,[status(thm)],[d5,c5]) ).
cnf(d7,plain,
in(john,human),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(d8,plain,
$false,
inference(resolution,[status(thm)],[d7,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : MSC004-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/5.37 % Computer : n004.cluster.edu
% 0.10/5.37 % Model : x86_64 x86_64
% 0.10/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.37 % Memory : 8046.5625MB
% 0.10/5.37 % OS : Linux 6.8.0-71-generic
% 0.10/5.37 % CPULimit : 300
% 0.10/5.37 % WCLimit : 300
% 0.10/5.37 % DateTime : Sat Sep 26 00:14:29 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.62/6.61 % SZS status Unsatisfiable for theBenchmark.p
% 9.62/6.61 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------