%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : COM004-1 : TPTP v9.3.1. Released v1.1.0.
% 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 06:58:31 AM UTC 2026
% Result : Unsatisfiable 9.65s 1.69s
% Output : CNFRefutation 9.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 18 unt; 0 nHn; 19 RR)
% Number of literals : 37 ( 4 equ; 16 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 21 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(make_node,axiom,
( ~ siblings(X0,X1)
| ~ contradictory(X4,X5)
| ~ 'failure$unode'(X1,or(X3,X5))
| ~ 'failure$unode'(X0,or(X2,X4))
| 'failure$unode'('parent$uof'(X0,X1),or(X2,X3)) ) ).
cnf(x_contradicts_not_x,axiom,
contradictory(X0,negate(X0)) ).
cnf(n_left_and_n_right_are_siblings,axiom,
siblings('left$uchild$uof'(X0),'right$uchild$uof'(X0)) ).
cnf(n_left_is_atom,hypothesis,
'failure$unode'('n$uleft',or(empty,atom)) ).
cnf(n_right_is_not_atom,hypothesis,
'failure$unode'('n$uright',or(empty,negate(atom))) ).
cnf(n_left_equals_left_child_of_n,hypothesis,
'n$uleft' = 'left$uchild$uof'(n) ).
cnf(n_right_equals_right_child_of_n,hypothesis,
'n$uright' = 'right$uchild$uof'(n) ).
cnf(goal_is_there_an_empty_node,negated_conjecture,
~ 'failure$unode'(X0,or(empty,empty)) ).
cnf(c0,plain,
( 'failure$unode'('parent$uof'(X3,X0),or(X4,X1))
| ~ contradictory(X5,X2)
| ~ 'failure$unode'(X3,or(X4,X5))
| ~ siblings(X3,X0)
| ~ 'failure$unode'(X0,or(X1,X2)) ),
inference(clausification,[status(esa)],[make_node]) ).
cnf(c2,plain,
contradictory(X0,negate(X0)),
inference(clausification,[status(esa)],[x_contradicts_not_x]) ).
cnf(c3,plain,
siblings('left$uchild$uof'(X0),'right$uchild$uof'(X0)),
inference(clausification,[status(esa)],[n_left_and_n_right_are_siblings]) ).
cnf(c4,plain,
'failure$unode'('n$uleft',or(empty,atom)),
inference(clausification,[status(esa)],[n_left_is_atom]) ).
cnf(c5,plain,
'failure$unode'('n$uright',or(empty,negate(atom))),
inference(clausification,[status(esa)],[n_right_is_not_atom]) ).
cnf(c6,plain,
'n$uleft' = 'left$uchild$uof'(n),
inference(clausification,[status(esa)],[n_left_equals_left_child_of_n]) ).
cnf(c7,plain,
'n$uright' = 'right$uchild$uof'(n),
inference(clausification,[status(esa)],[n_right_equals_right_child_of_n]) ).
cnf(c8,plain,
~ 'failure$unode'(X0,or(empty,empty)),
inference(clausification,[status(esa)],[goal_is_there_an_empty_node]) ).
cnf(d0,plain,
( ~ contradictory(atom,X2)
| 'failure$unode'('parent$uof'('n$uleft',X0),or(empty,X1))
| ~ 'failure$unode'(X0,or(X1,X2))
| ~ siblings('n$uleft',X0) ),
inference(resolution,[status(thm)],[c4,c0]) ).
cnf(d1,plain,
( ~ contradictory(atom,negate(atom))
| 'failure$unode'('parent$uof'('n$uleft','n$uright'),or(empty,empty))
| ~ siblings('n$uleft','n$uright') ),
inference(resolution,[status(thm)],[d0,c5]) ).
cnf(d2,plain,
( 'failure$unode'('parent$uof'('n$uleft','n$uright'),or(empty,empty))
| ~ siblings('n$uleft','n$uright') ),
inference(resolution,[status(thm)],[c2,d1]) ).
cnf(d3,plain,
siblings('n$uleft','right$uchild$uof'(n)),
inference(superposition,[status(thm)],[c6,c3]) ).
cnf(d4,plain,
siblings('n$uleft','n$uright'),
inference(demodulation,[status(thm)],[d3,c7]) ).
cnf(d5,plain,
'failure$unode'('parent$uof'('n$uleft','n$uright'),or(empty,empty)),
inference(resolution,[status(thm)],[d4,d2]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c8,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : COM004-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 23:19:09 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.65/1.69 % SZS status Unsatisfiable for theBenchmark.p
% 9.65/1.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------