%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN585-1 : TPTP v9.2.1. Released v2.5.0.
% 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 : n019.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 05:39:41 PM UTC 2026
% Result : Unsatisfiable 41.83s 24.05s
% Output : CNFRefutation 41.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 10 unt; 5 nHn; 9 RR)
% Number of literals : 34 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p2_26,negated_conjecture,
( p2(X1,f3(c13))
| p11(f9(X1,X2),f9(X1,X3))
| ~ p11(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_26) ).
cnf(p11_13,negated_conjecture,
( p11(X1,f8(X2,X3))
| ~ p11(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_13) ).
cnf(p11_2,negated_conjecture,
p11(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_2) ).
cnf(p11_16,negated_conjecture,
( p11(X1,X2)
| ~ p11(X1,X3)
| ~ p11(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_16) ).
cnf(p11_7,negated_conjecture,
p11(c18,f9(c12,c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_7) ).
cnf(not_p2_6,negated_conjecture,
~ p2(c12,f3(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p2_6) ).
cnf(not_p11_12,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_12) ).
cnf(c_0_7,negated_conjecture,
( p2(X1,f3(c13))
| p11(f9(X1,X2),f9(X1,X3))
| ~ p11(X2,X3) ),
p2_26 ).
cnf(c_0_8,negated_conjecture,
( p11(X1,f8(X2,X3))
| ~ p11(X1,X3) ),
p11_13 ).
cnf(c_0_9,negated_conjecture,
( p11(f9(X1,X2),f9(X1,f8(X3,X4)))
| p2(X1,f3(c13))
| ~ p11(X2,X4) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,negated_conjecture,
p11(X1,X1),
p11_2 ).
cnf(c_0_11,negated_conjecture,
( p11(X1,X2)
| ~ p11(X1,X3)
| ~ p11(X3,X2) ),
p11_16 ).
cnf(c_0_12,negated_conjecture,
( p11(f9(X1,X2),f9(X1,f8(X3,X2)))
| p2(X1,f3(c13)) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,negated_conjecture,
( p11(X1,f9(X2,f8(X3,X4)))
| p2(X2,f3(c13))
| ~ p11(X1,f9(X2,X4)) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,negated_conjecture,
p11(c18,f9(c12,c14)),
p11_7 ).
cnf(c_0_15,negated_conjecture,
~ p2(c12,f3(c13)),
not_p2_6 ).
cnf(c_0_16,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))),
not_p11_12 ).
cnf(c_0_17,negated_conjecture,
p11(c18,f9(c12,f8(X1,c14))),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SYN585-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.13 % 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
% 0.17/0.34 % Computer : n019.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Tue May 5 08:40:59 EDT 2026
% 0.17/0.34 % CPUTime :
% 0.17/0.35 % start to proof: theBenchmark
% 41.83/24.05 % Version : CSE_E---1.7
% 41.83/24.05 % Problem : theBenchmark.p
% 41.83/24.05 % SZS status Unsatisfiable for theBenchmark.p
% 41.83/24.05 % SZS output start CNFRefutation
% See solution above
% 41.94/24.18 % Total time : 19.405s
%------------------------------------------------------------------------------