%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYO613-1 : TPTP v9.2.1. Released v7.1.0.
% 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 : n018.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 05:54:03 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.71s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 5
% Syntax : Number of clauses : 26 ( 10 unt; 0 nHn; 18 RR)
% Number of literals : 129 ( 0 equ; 116 neg)
% Maximal clause size : 23 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 127 ( 34 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos_05,axiom,
( ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X7),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X9),a0)
| ~ eq(f(X10),a0)
| ~ eq(f(X11),a0)
| ~ eq(f(X12),a0)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X10)
| ~ le(s(X10),X11)
| ~ le(s(X11),X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_05) ).
cnf(sos_04,axiom,
eq(f(X1),a0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_04) ).
cnf(sos_01,axiom,
le(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_01) ).
cnf(sos_03,axiom,
( le(X2,X3)
| ~ le(max(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_03) ).
cnf(sos_02,axiom,
( le(X1,X3)
| ~ le(max(X1,X2),X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_02) ).
cnf(c_0_5,axiom,
( ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X6),a0)
| ~ eq(f(X7),a0)
| ~ eq(f(X8),a0)
| ~ eq(f(X9),a0)
| ~ eq(f(X10),a0)
| ~ eq(f(X11),a0)
| ~ eq(f(X12),a0)
| ~ le(s(X1),X2)
| ~ le(s(X2),X3)
| ~ le(s(X3),X4)
| ~ le(s(X4),X5)
| ~ le(s(X5),X6)
| ~ le(s(X6),X7)
| ~ le(s(X7),X8)
| ~ le(s(X8),X9)
| ~ le(s(X9),X10)
| ~ le(s(X10),X11)
| ~ le(s(X11),X12) ),
sos_05 ).
cnf(c_0_6,axiom,
eq(f(X1),a0),
sos_04 ).
cnf(c_0_7,plain,
( ~ le(s(X1),X2)
| ~ le(s(X3),X1)
| ~ le(s(X4),X3)
| ~ le(s(X5),X4)
| ~ le(s(X6),X5)
| ~ le(s(X7),X6)
| ~ le(s(X8),X7)
| ~ le(s(X9),X8)
| ~ le(s(X10),X9)
| ~ le(s(X11),X10)
| ~ le(s(X12),X11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6]),c_0_6])]) ).
cnf(c_0_8,axiom,
le(X1,X1),
sos_01 ).
cnf(c_0_9,plain,
( ~ le(s(X1),X2)
| ~ le(s(X3),X1)
| ~ le(s(X4),X3)
| ~ le(s(X5),X4)
| ~ le(s(X6),X5)
| ~ le(s(X7),X6)
| ~ le(s(X8),X7)
| ~ le(s(X9),X8)
| ~ le(s(X10),X9)
| ~ le(s(X11),X10) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,axiom,
( le(X2,X3)
| ~ le(max(X1,X2),X3) ),
sos_03 ).
cnf(c_0_11,plain,
( ~ le(s(X1),X2)
| ~ le(s(X3),X1)
| ~ le(s(X4),X3)
| ~ le(s(X5),X4)
| ~ le(s(X6),X5)
| ~ le(s(X7),X6)
| ~ le(s(X8),X7)
| ~ le(s(X9),X8)
| ~ le(s(X10),X9) ),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_12,plain,
le(X1,max(X2,X1)),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
cnf(c_0_13,axiom,
( le(X1,X3)
| ~ le(max(X1,X2),X3) ),
sos_02 ).
cnf(c_0_14,plain,
( ~ le(s(X1),X2)
| ~ le(s(X3),X1)
| ~ le(s(X4),X3)
| ~ le(s(X5),X4)
| ~ le(s(X6),X5)
| ~ le(s(X7),X6)
| ~ le(s(X8),X7)
| ~ le(s(X9),X8) ),
inference(spm,[status(thm)],[c_0_11,c_0_8]) ).
cnf(c_0_15,plain,
le(X1,max(X2,max(X3,X1))),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_16,plain,
le(X1,max(X1,X2)),
inference(spm,[status(thm)],[c_0_13,c_0_8]) ).
cnf(c_0_17,plain,
( ~ le(s(X1),X2)
| ~ le(s(X3),X1)
| ~ le(s(X4),X3)
| ~ le(s(X5),X4)
| ~ le(s(X6),X5)
| ~ le(s(X7),X6)
| ~ le(s(X8),X7) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
le(X1,max(max(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_10,c_0_16]) ).
cnf(c_0_19,plain,
( ~ le(s(X1),X2)
| ~ le(s(X3),X1)
| ~ le(s(X4),X3)
| ~ le(s(X5),X4)
| ~ le(s(X6),X5)
| ~ le(s(X7),X6) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
( ~ le(s(X1),X2)
| ~ le(s(X3),X1)
| ~ le(s(X4),X3)
| ~ le(s(X5),X4)
| ~ le(s(X6),X5) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_21,plain,
( ~ le(s(X1),X2)
| ~ le(s(X3),X1)
| ~ le(s(X4),X3)
| ~ le(s(X5),X4) ),
inference(spm,[status(thm)],[c_0_20,c_0_18]) ).
cnf(c_0_22,plain,
( ~ le(s(X1),X2)
| ~ le(s(X3),X1)
| ~ le(s(X4),X3) ),
inference(spm,[status(thm)],[c_0_21,c_0_18]) ).
cnf(c_0_23,plain,
( ~ le(s(X1),X2)
| ~ le(s(X3),X1) ),
inference(spm,[status(thm)],[c_0_22,c_0_18]) ).
cnf(c_0_24,plain,
~ le(s(X1),X2),
inference(spm,[status(thm)],[c_0_23,c_0_18]) ).
cnf(c_0_25,plain,
$false,
inference(spm,[status(thm)],[c_0_24,c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO613-1 : TPTP v9.2.1. Released v7.1.0.
% 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
% 0.15/0.32 % Computer : n018.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 09:18:47 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.24/1.71 % Version : CSE_E---1.7
% 1.24/1.71 % Problem : theBenchmark.p
% 1.24/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.71 % SZS output start CNFRefutation
% See solution above
% 1.24/1.71 % Total time : 1.372s
%------------------------------------------------------------------------------