%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN084-2 : TPTP v9.2.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n005.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 : Tue May 5 05:36:06 PM UTC 2026
% Result : Unsatisfiable 1.23s 1.71s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of clauses : 30 ( 8 unt; 6 nHn; 27 RR)
% Number of literals : 64 ( 0 equ; 35 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(pel62_3,negated_conjecture,
( big_p(f(f(X1)))
| ~ big_p(f(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_3) ).
cnf(pel62_1,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_1) ).
cnf(pel62_4,negated_conjecture,
( ~ big_p(f(f(sk1)))
| ~ big_p(f(f(sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_4) ).
cnf(pel62_2,negated_conjecture,
( big_p(f(f(X1)))
| big_p(X1)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_2) ).
cnf(pel62_6,negated_conjecture,
( big_p(f(sk1))
| ~ big_p(sk1)
| ~ big_p(f(f(sk2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_6) ).
cnf(pel62_7,negated_conjecture,
( big_p(f(sk2))
| ~ big_p(sk2)
| ~ big_p(f(f(sk1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_7) ).
cnf(pel62_5,negated_conjecture,
( big_p(f(sk1))
| big_p(f(sk2))
| ~ big_p(sk1)
| ~ big_p(sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel62_5) ).
cnf(c_0_7,negated_conjecture,
( big_p(f(f(X1)))
| ~ big_p(f(X1))
| ~ big_p(a) ),
pel62_3 ).
cnf(c_0_8,negated_conjecture,
big_p(a),
pel62_1 ).
cnf(c_0_9,negated_conjecture,
( ~ big_p(f(f(sk1)))
| ~ big_p(f(f(sk2))) ),
pel62_4 ).
cnf(c_0_10,negated_conjecture,
( big_p(f(f(X1)))
| ~ big_p(f(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8])]) ).
cnf(c_0_11,negated_conjecture,
( ~ big_p(f(f(sk1)))
| ~ big_p(f(sk2)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
( big_p(f(f(X1)))
| big_p(X1)
| ~ big_p(a) ),
pel62_2 ).
cnf(c_0_13,negated_conjecture,
( big_p(f(sk1))
| ~ big_p(sk1)
| ~ big_p(f(f(sk2))) ),
pel62_6 ).
cnf(c_0_14,negated_conjecture,
( ~ big_p(f(sk2))
| ~ big_p(f(sk1)) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( big_p(f(f(X1)))
| big_p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_8])]) ).
cnf(c_0_16,negated_conjecture,
( ~ big_p(f(sk2))
| ~ big_p(sk1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_10]),c_0_14]) ).
cnf(c_0_17,negated_conjecture,
( big_p(sk2)
| ~ big_p(f(f(sk1))) ),
inference(spm,[status(thm)],[c_0_9,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
( big_p(f(sk2))
| ~ big_p(sk2)
| ~ big_p(f(f(sk1))) ),
pel62_7 ).
cnf(c_0_19,negated_conjecture,
~ big_p(f(sk2)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_15]),c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( big_p(sk1)
| big_p(sk2) ),
inference(spm,[status(thm)],[c_0_17,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
big_p(sk1),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_15]),c_0_19]),c_0_20]) ).
cnf(c_0_22,negated_conjecture,
( big_p(f(sk1))
| big_p(f(sk2))
| ~ big_p(sk1)
| ~ big_p(sk2) ),
pel62_5 ).
cnf(c_0_23,negated_conjecture,
( big_p(f(sk1))
| ~ big_p(f(f(sk2))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_21])]) ).
cnf(c_0_24,negated_conjecture,
( big_p(f(sk1))
| ~ big_p(sk2) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_21])]),c_0_19]) ).
cnf(c_0_25,negated_conjecture,
( big_p(sk2)
| ~ big_p(f(sk1)) ),
inference(spm,[status(thm)],[c_0_17,c_0_10]) ).
cnf(c_0_26,negated_conjecture,
big_p(f(sk1)),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_15]),c_0_24]) ).
cnf(c_0_27,negated_conjecture,
big_p(sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_26])]) ).
cnf(c_0_28,negated_conjecture,
~ big_p(f(f(sk1))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_27])]),c_0_19]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_10]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN084-2 : TPTP v9.2.1. Released v1.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32 % Computer : n005.cluster.edu
% 0.16/0.32 % Model : x86_64 x86_64
% 0.16/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32 % Memory : 8042.1875MB
% 0.16/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 08:12:45 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.23/1.71 % Version : CSE_E---1.7
% 1.23/1.71 % Problem : theBenchmark.p
% 1.23/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.23/1.71 % SZS output start CNFRefutation
% See solution above
% 1.23/1.71 % Total time : 1.372s
%------------------------------------------------------------------------------