%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SYN006-1 : 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 : n008.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 09:20:39 AM UTC 2026
% Result : Unsatisfiable 8.77s 11.59s
% Output : CNFRefutation 8.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 20 ( 12 unt; 6 nHn; 13 RR)
% Number of literals : 32 ( 0 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 31 ( 17 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_1,negated_conjecture,
( q2(X0,f(X1))
| q1(f(X0),X1)
| ~ p1(X0,f(X1)) ) ).
cnf(clause_2,negated_conjecture,
p1(a,X0) ).
cnf(clause_3,negated_conjecture,
~ q2(X0,f(X1)) ).
cnf(clause_4,negated_conjecture,
( q4(X0,f(X1))
| q3(f(X0),X1)
| ~ p2(X0,f(X1)) ) ).
cnf(clause_5,negated_conjecture,
~ q3(X0,g(X1)) ).
cnf(clause_6,negated_conjecture,
~ q4(f(f(X0)),f(g(f(X1)))) ).
cnf(clause_7,negated_conjecture,
( p2(f(X0),X1)
| ~ q1(X0,f(X1)) ) ).
cnf(c0,plain,
( q2(X0,f(X1))
| q1(f(X0),X1)
| ~ p1(X0,f(X1)) ),
inference(clausification,[status(esa)],[clause_1]) ).
cnf(c1,plain,
p1(a,X0),
inference(clausification,[status(esa)],[clause_2]) ).
cnf(c2,plain,
~ q2(X0,f(X1)),
inference(clausification,[status(esa)],[clause_3]) ).
cnf(c3,plain,
( q4(X0,f(X1))
| q3(f(X0),X1)
| ~ p2(X0,f(X1)) ),
inference(clausification,[status(esa)],[clause_4]) ).
cnf(c4,plain,
~ q3(X0,g(X1)),
inference(clausification,[status(esa)],[clause_5]) ).
cnf(c5,plain,
~ q4(f(f(X0)),f(g(f(X1)))),
inference(clausification,[status(esa)],[clause_6]) ).
cnf(c6,plain,
( p2(f(X0),X1)
| ~ q1(X0,f(X1)) ),
inference(clausification,[status(esa)],[clause_7]) ).
cnf(d0,plain,
( q2(a,f(X0))
| q1(f(a),X0) ),
inference(resolution,[status(thm)],[c0,c1]) ).
cnf(d1,plain,
q1(f(a),X0),
inference(resolution,[status(thm)],[c2,d0]) ).
cnf(d2,plain,
p2(f(f(a)),X0),
inference(resolution,[status(thm)],[d1,c6]) ).
cnf(d3,plain,
( q4(f(f(a)),f(X0))
| q3(f(f(f(a))),X0) ),
inference(resolution,[status(thm)],[d2,c3]) ).
cnf(d4,plain,
q3(f(f(f(a))),g(f(X0))),
inference(resolution,[status(thm)],[d3,c5]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[c4,d4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN006-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/10.37 % Computer : n008.cluster.edu
% 0.09/10.37 % Model : x86_64 x86_64
% 0.09/10.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/10.37 % Memory : 8046.5625MB
% 0.09/10.37 % OS : Linux 6.8.0-71-generic
% 0.09/10.37 % CPULimit : 300
% 0.09/10.37 % WCLimit : 300
% 0.09/10.37 % DateTime : Sat Sep 26 17:04:37 UTC 2026
% 0.09/10.38 % CPUTime :
% 0.09/10.38 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.77/11.59 % SZS status Unsatisfiable for theBenchmark.p
% 8.77/11.59 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------