%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu May 9 17:47:16 EDT 2024
% Result : Unsatisfiable 0.37s 0.60s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 10 unt; 8 nHn; 30 RR)
% Number of literals : 69 ( 0 equ; 33 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 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 : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_6,axiom,
( ~ big_h(a,X3)
| big_l(X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_5,axiom,
big_f(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_9,negated_conjecture,
( ~ big_f(X7)
| big_h(X7,g(X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).
cnf(c1,plain,
big_h(a,g(a)),
inference(resolution,[status(thm)],[clause_9,clause_5]) ).
cnf(c3,plain,
big_l(g(a)),
inference(resolution,[status(thm)],[c1,clause_6]) ).
cnf(clause_4,axiom,
( ~ big_l(X2)
| ~ big_k(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_8,negated_conjecture,
( ~ big_f(X4)
| big_g(g(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8) ).
cnf(c0,plain,
big_g(g(a)),
inference(resolution,[status(thm)],[clause_8,clause_5]) ).
cnf(clause_3,axiom,
( ~ big_f(X11)
| ~ big_j(X11,f(X11))
| ~ big_g(X12)
| ~ big_h(X11,X12)
| big_k(X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_1,axiom,
( ~ big_f(X5)
| big_g(f(X5))
| ~ big_g(X6)
| ~ big_h(X5,X6)
| big_k(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(c2,plain,
( ~ big_f(a)
| big_g(f(a))
| ~ big_g(g(a))
| big_k(g(a)) ),
inference(resolution,[status(thm)],[c1,clause_1]) ).
cnf(c7,plain,
( ~ big_f(a)
| big_g(f(a))
| big_k(g(a)) ),
inference(resolution,[status(thm)],[c2,c0]) ).
cnf(c8,plain,
( big_g(f(a))
| big_k(g(a)) ),
inference(resolution,[status(thm)],[c7,clause_5]) ).
cnf(c9,plain,
( big_g(f(a))
| ~ big_l(g(a)) ),
inference(resolution,[status(thm)],[c8,clause_4]) ).
cnf(c11,plain,
big_g(f(a)),
inference(resolution,[status(thm)],[c9,c3]) ).
cnf(clause_7,axiom,
( ~ big_g(X8)
| ~ big_h(a,X8)
| big_j(a,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_2,axiom,
( ~ big_f(X9)
| big_h(X9,f(X9))
| ~ big_g(X10)
| ~ big_h(X9,X10)
| big_k(X10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(c6,plain,
( ~ big_f(a)
| big_h(a,f(a))
| ~ big_g(g(a))
| big_k(g(a)) ),
inference(resolution,[status(thm)],[clause_2,c1]) ).
cnf(c10,plain,
( ~ big_f(a)
| big_h(a,f(a))
| big_k(g(a)) ),
inference(resolution,[status(thm)],[c6,c0]) ).
cnf(c12,plain,
( big_h(a,f(a))
| big_k(g(a)) ),
inference(resolution,[status(thm)],[c10,clause_5]) ).
cnf(c17,plain,
( big_h(a,f(a))
| ~ big_l(g(a)) ),
inference(resolution,[status(thm)],[c12,clause_4]) ).
cnf(c20,plain,
big_h(a,f(a)),
inference(resolution,[status(thm)],[c17,c3]) ).
cnf(c24,plain,
( ~ big_g(f(a))
| big_j(a,f(a)) ),
inference(resolution,[status(thm)],[c20,clause_7]) ).
cnf(c25,plain,
big_j(a,f(a)),
inference(resolution,[status(thm)],[c24,c11]) ).
cnf(c26,plain,
( ~ big_f(a)
| ~ big_g(X13)
| ~ big_h(a,X13)
| big_k(X13) ),
inference(resolution,[status(thm)],[c25,clause_3]) ).
cnf(c27,plain,
( ~ big_f(a)
| ~ big_g(g(a))
| big_k(g(a)) ),
inference(resolution,[status(thm)],[c26,c1]) ).
cnf(c29,plain,
( ~ big_f(a)
| big_k(g(a)) ),
inference(resolution,[status(thm)],[c27,c0]) ).
cnf(c30,plain,
big_k(g(a)),
inference(resolution,[status(thm)],[c29,clause_5]) ).
cnf(c31,plain,
~ big_l(g(a)),
inference(resolution,[status(thm)],[c30,clause_4]) ).
cnf(c32,plain,
$false,
inference(resolution,[status(thm)],[c31,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : SYN069-1 : TPTP v8.1.2. Released v1.0.0.
% 0.09/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n022.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Wed May 8 20:06:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.37/0.60 % Version: 1.5
% 0.37/0.60 % SZS status Unsatisfiable
% 0.37/0.60 % SZS output start CNFRefutation
% See solution above
% 0.37/0.60
% 0.37/0.60 % Initial clauses : 9
% 0.37/0.60 % Processed clauses : 34
% 0.37/0.60 % Factors computed : 0
% 0.37/0.60 % Resolvents computed: 33
% 0.37/0.60 % Tautologies deleted: 1
% 0.37/0.60 % Forward subsumed : 3
% 0.37/0.60 % Backward subsumed : 14
% 0.37/0.60 % -------- CPU Time ---------
% 0.37/0.60 % User time : 0.200 s
% 0.37/0.60 % System time : 0.028 s
% 0.37/0.60 % Total time : 0.228 s
%------------------------------------------------------------------------------