%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN055-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/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 05:35:56 PM UTC 2026
% Result : Unsatisfiable 1.08s 1.61s
% Output : CNFRefutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 6 unt; 4 nHn; 21 RR)
% Number of literals : 42 ( 0 equ; 23 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_5,axiom,
( big_q(X1)
| big_p(b)
| ~ big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
cnf(clause_7,negated_conjecture,
( ~ big_q(X1)
| ~ big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).
cnf(clause_6,negated_conjecture,
( big_q(X1)
| big_r(b)
| ~ big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
cnf(clause_1,axiom,
big_p(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(clause_2,axiom,
( ~ big_f(X1)
| ~ big_g(X1)
| ~ big_r(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_4,axiom,
( big_g(X1)
| ~ big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_3,axiom,
( big_f(X1)
| ~ big_p(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(c_0_7,axiom,
( big_q(X1)
| big_p(b)
| ~ big_p(X1) ),
clause_5 ).
cnf(c_0_8,negated_conjecture,
( ~ big_q(X1)
| ~ big_p(X1) ),
clause_7 ).
cnf(c_0_9,negated_conjecture,
( big_q(X1)
| big_r(b)
| ~ big_p(X1) ),
clause_6 ).
cnf(c_0_10,plain,
( big_p(b)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,axiom,
big_p(a),
clause_1 ).
cnf(c_0_12,negated_conjecture,
( big_r(b)
| ~ big_p(X1) ),
inference(csr,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_13,plain,
big_p(b),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
( ~ big_f(X1)
| ~ big_g(X1)
| ~ big_r(X1) ),
clause_2 ).
cnf(c_0_15,negated_conjecture,
big_r(b),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,negated_conjecture,
( ~ big_g(b)
| ~ big_f(b) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,axiom,
( big_g(X1)
| ~ big_p(X1) ),
clause_4 ).
cnf(c_0_18,negated_conjecture,
~ big_f(b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_13])]) ).
cnf(c_0_19,axiom,
( big_f(X1)
| ~ big_p(X1) ),
clause_3 ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYN055-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.06 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.07/0.24 % Computer : n012.cluster.edu
% 0.07/0.24 % Model : x86_64 x86_64
% 0.07/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.24 % Memory : 8042.1875MB
% 0.07/0.24 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.24 % CPULimit : 300
% 0.07/0.24 % WCLimit : 300
% 0.07/0.24 % DateTime : Tue May 5 08:08:16 EDT 2026
% 0.07/0.24 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.08/1.61 % Version : CSE_E---1.7
% 1.08/1.61 % Problem : theBenchmark.p
% 1.08/1.61 % SZS status Unsatisfiable for theBenchmark.p
% 1.08/1.61 % SZS output start CNFRefutation
% See solution above
% 1.08/1.61 % Total time : 1.362s
%------------------------------------------------------------------------------