%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : KRS012-1 : TPTP v9.2.1. Released v2.0.0.
% 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 : 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 04:36:09 PM UTC 2026
% Result : Unsatisfiable 1.25s 1.72s
% Output : CNFRefutation 1.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 15 ( 5 unt; 2 nHn; 13 RR)
% Number of literals : 32 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 15 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause_3,axiom,
( e(X1)
| ~ c(X2)
| ~ r(X2,X1)
| ~ d(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
cnf(clause_4,axiom,
( d(X1)
| ~ c(X2)
| ~ r(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
cnf(clause_13,axiom,
( f(X1)
| r(X1,u1r1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13) ).
cnf(clause_12,axiom,
( f(X1)
| ~ e(u1r1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12) ).
cnf(clause_2,negated_conjecture,
~ f(exists),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
cnf(clause_1,negated_conjecture,
c(exists),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
cnf(c_0_6,axiom,
( e(X1)
| ~ c(X2)
| ~ r(X2,X1)
| ~ d(X1) ),
clause_3 ).
cnf(c_0_7,axiom,
( d(X1)
| ~ c(X2)
| ~ r(X2,X1) ),
clause_4 ).
cnf(c_0_8,plain,
( e(X1)
| ~ r(X2,X1)
| ~ c(X2) ),
inference(csr,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,axiom,
( f(X1)
| r(X1,u1r1(X1)) ),
clause_13 ).
cnf(c_0_10,axiom,
( f(X1)
| ~ e(u1r1(X1)) ),
clause_12 ).
cnf(c_0_11,negated_conjecture,
~ f(exists),
clause_2 ).
cnf(c_0_12,plain,
( f(X1)
| ~ c(X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
cnf(c_0_13,negated_conjecture,
c(exists),
clause_1 ).
cnf(c_0_14,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS012-1 : TPTP v9.2.1. Released v2.0.0.
% 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 : Mon May 4 20:33:51 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % 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 : 1.373s
%------------------------------------------------------------------------------