%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SET027-4 : 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 : n011.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 08:31:41 AM UTC 2026
% Result : Unsatisfiable 43.24s 5.94s
% Output : CNFRefutation 43.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 11 unt; 2 nHn; 17 RR)
% Number of literals : 29 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a_subset_b,hypothesis,
subset(a,b) ).
cnf(b_subset_c,hypothesis,
subset(b,c) ).
cnf(prove_a_subset_c,negated_conjecture,
~ subset(a,c) ).
cnf(subset1,axiom,
( member(X2,X1)
| ~ member(X2,X0)
| ~ subset(X0,X1) ) ).
cnf(subset2,axiom,
( member(f17(X0,X1),X0)
| subset(X0,X1) ) ).
cnf(subset3,axiom,
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ) ).
cnf(c0,plain,
subset(a,b),
inference(clausification,[status(esa)],[a_subset_b]) ).
cnf(c1,plain,
subset(b,c),
inference(clausification,[status(esa)],[b_subset_c]) ).
cnf(c2,plain,
~ subset(a,c),
inference(clausification,[status(esa)],[prove_a_subset_c]) ).
cnf(c69,plain,
( member(X0,X2)
| ~ subset(X1,X2)
| ~ member(X0,X1) ),
inference(clausification,[status(esa)],[subset1]) ).
cnf(c70,plain,
( member(f17(X0,X1),X0)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[subset2]) ).
cnf(c71,plain,
( ~ member(f17(X0,X1),X1)
| subset(X0,X1) ),
inference(clausification,[status(esa)],[subset3]) ).
cnf(d0,plain,
( ~ member(X0,b)
| member(X0,c) ),
inference(resolution,[status(thm)],[c69,c1]) ).
cnf(d1,plain,
member(f17(a,c),a),
inference(resolution,[status(thm)],[c70,c2]) ).
cnf(d2,plain,
( ~ member(X0,a)
| member(X0,b) ),
inference(resolution,[status(thm)],[c69,c0]) ).
cnf(d3,plain,
member(f17(a,c),b),
inference(resolution,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
member(f17(a,c),c),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
subset(a,c),
inference(resolution,[status(thm)],[d4,c71]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[c2,d5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.43 % Computer : n011.cluster.edu
% 0.10/0.43 % Model : x86_64 x86_64
% 0.10/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.43 % Memory : 8046.5625MB
% 0.10/0.43 % OS : Linux 6.8.0-71-generic
% 0.10/0.43 % CPULimit : 300
% 0.10/0.43 % WCLimit : 300
% 0.10/0.43 % DateTime : Sat Sep 26 06:54:59 UTC 2026
% 0.10/0.43 % CPUTime :
% 0.10/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.24/5.94 % SZS status Unsatisfiable for theBenchmark.p
% 43.24/5.94 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------