%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN721-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : 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 05:39:59 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 12 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 18 ( 0 equ; 9 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 13 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(lx1_2,negated_conjecture,
( q(X1,X1)
| ~ r(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_2) ).
cnf(lx1_1,negated_conjecture,
r(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_1) ).
cnf(lx1_4,negated_conjecture,
( ~ q(X1,a)
| ~ r(b,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_4) ).
cnf(lx1_3,negated_conjecture,
( r(X1,X2)
| ~ q(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lx1_3) ).
cnf(c_0_4,negated_conjecture,
( q(X1,X1)
| ~ r(X1,X2) ),
lx1_2 ).
cnf(c_0_5,negated_conjecture,
r(a,b),
lx1_1 ).
cnf(c_0_6,negated_conjecture,
( ~ q(X1,a)
| ~ r(b,X1) ),
lx1_4 ).
cnf(c_0_7,negated_conjecture,
q(a,a),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( r(X1,X2)
| ~ q(X3,X2) ),
lx1_3 ).
cnf(c_0_9,negated_conjecture,
~ r(b,a),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
r(X1,a),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN721-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12 % 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
% 0.17/0.33 % Computer : n022.cluster.edu
% 0.17/0.33 % Model : x86_64 x86_64
% 0.17/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33 % Memory : 8042.1875MB
% 0.17/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33 % CPULimit : 300
% 0.17/0.33 % WCLimit : 300
% 0.17/0.33 % DateTime : Tue May 5 08:45:06 EDT 2026
% 0.17/0.33 % CPUTime :
% 0.17/0.34 % start to proof: theBenchmark
% 1.25/1.72 % Version : CSE_E---1.7
% 1.25/1.72 % Problem : theBenchmark.p
% 1.25/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.25/1.72 % SZS output start CNFRefutation
% See solution above
% 1.25/1.72 % Total time : 1.372s
%------------------------------------------------------------------------------