%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN068-1 : 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 : n012.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 05:36:02 PM UTC 2026
% Result : Unsatisfiable 1.10s 1.62s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 5 unt; 0 nHn; 13 RR)
% Number of literals : 21 ( 0 equ; 11 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_7,negated_conjecture,
( big_f(X1)
| ~ big_j(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_5,axiom,
big_j(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_4,axiom,
( ~ big_f(X1)
| ~ big_h(X1,g(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_6,axiom,
( big_h(a,X1)
| ~ big_g(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_3,axiom,
( big_g(g(X1))
| ~ big_f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
cnf(c_0_5,negated_conjecture,
( big_f(X1)
| ~ big_j(X1) ),
clause_7 ).
cnf(c_0_6,axiom,
big_j(a),
clause_5 ).
cnf(c_0_7,axiom,
( ~ big_f(X1)
| ~ big_h(X1,g(X1)) ),
clause_4 ).
cnf(c_0_8,axiom,
( big_h(a,X1)
| ~ big_g(X1) ),
clause_6 ).
cnf(c_0_9,negated_conjecture,
big_f(a),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_10,plain,
~ big_g(g(a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).
cnf(c_0_11,axiom,
( big_g(g(X1))
| ~ big_f(X1) ),
clause_3 ).
cnf(c_0_12,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN068-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.07 % 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
% 0.06/0.25 % Computer : n012.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 5 08:10:31 EDT 2026
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % start to proof: theBenchmark
% 1.10/1.62 % Version : CSE_E---1.7
% 1.10/1.62 % Problem : theBenchmark.p
% 1.10/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 1.10/1.62 % SZS output start CNFRefutation
% See solution above
% 1.10/1.62 % Total time : 1.360s
%------------------------------------------------------------------------------