%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN084-1 : TPTP v9.2.1. Released v1.0.0.
% 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 : 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 : Tue May 5 05:36:06 PM UTC 2026
% Result : Satisfiable 1.25s 1.71s
% Output : Saturation 1.25s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_8,negated_conjecture,
( big_p(X1)
| big_p(f(f(X2)))
| ~ big_p(f(X2))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8) ).
cnf(clause_1,negated_conjecture,
big_p(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_3,negated_conjecture,
( big_p(X1)
| big_p(f(f(X2)))
| big_p(X2)
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_2,negated_conjecture,
( big_p(f(f(X2)))
| big_p(X2)
| ~ big_p(f(X1))
| ~ big_p(a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_12,negated_conjecture,
( big_p(X1)
| big_p(f(b))
| ~ big_p(a)
| ~ big_p(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12) ).
cnf(clause_13,negated_conjecture,
( big_p(f(b))
| ~ big_p(a)
| ~ big_p(f(X1))
| ~ big_p(b) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13) ).
cnf(c_0_6,negated_conjecture,
( big_p(X1)
| big_p(f(f(X2)))
| ~ big_p(f(X2))
| ~ big_p(a) ),
clause_8 ).
cnf(c_0_7,negated_conjecture,
big_p(a),
clause_1,
[final] ).
cnf(c_0_8,negated_conjecture,
( big_p(X1)
| big_p(f(f(X2)))
| big_p(X2)
| ~ big_p(a) ),
clause_3 ).
cnf(c_0_9,negated_conjecture,
( big_p(f(f(X1)))
| big_p(X2)
| ~ big_p(f(X1)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
cnf(c_0_10,negated_conjecture,
( big_p(f(f(X2)))
| big_p(X2)
| ~ big_p(f(X1))
| ~ big_p(a) ),
clause_2 ).
cnf(c_0_11,negated_conjecture,
( big_p(f(f(X1)))
| big_p(X2)
| big_p(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_7])]) ).
cnf(c_0_12,negated_conjecture,
( big_p(X1)
| big_p(f(b))
| ~ big_p(a)
| ~ big_p(b) ),
clause_12 ).
cnf(c_0_13,negated_conjecture,
( big_p(f(b))
| ~ big_p(a)
| ~ big_p(f(X1))
| ~ big_p(b) ),
clause_13 ).
cnf(c_0_14,negated_conjecture,
( big_p(f(f(X1)))
| ~ big_p(f(X1)) ),
inference(ef,[status(thm)],[c_0_9]),
[final] ).
cnf(c_0_15,negated_conjecture,
( big_p(f(f(X1)))
| big_p(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_7])]),c_0_11]),
[final] ).
cnf(c_0_16,negated_conjecture,
( big_p(f(b))
| big_p(X1)
| ~ big_p(b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_7])]),
[final] ).
cnf(c_0_17,negated_conjecture,
( big_p(f(b))
| ~ big_p(f(X1))
| ~ big_p(b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_7])]),
[final] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN084-1 : TPTP v9.2.1. Released v1.0.0.
% 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
% 0.14/0.33 % Computer : n022.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue May 5 08:12:51 EDT 2026
% 0.14/0.33 % CPUTime :
% 0.14/0.34 % start to proof: theBenchmark
% 1.25/1.71 % Version : CSE_E---1.7
% 1.25/1.71 % Problem : theBenchmark.p
% 1.25/1.71 % SZS status Satisfiable for theBenchmark.p
% 1.25/1.71 % SZS output start Saturation
% See solution above
% 1.25/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------