%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYO617-1 : TPTP v9.2.1. Released v7.1.0.
% 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 : 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 05:54:04 PM UTC 2026
% Result : Unsatisfiable 1.13s 1.62s
% Output : CNFRefutation 1.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of clauses : 48 ( 17 unt; 4 nHn; 27 RR)
% Number of literals : 90 ( 0 equ; 58 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 123 ( 71 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos_02,axiom,
( le(X1,X3)
| ~ le(max(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
cnf(sos_01,axiom,
le(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
cnf(sos_03,axiom,
( le(X2,X3)
| ~ le(max(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
cnf(sos_07,axiom,
( ~ eq(f(X1),a2)
| ~ eq(f(X2),a2)
| ~ le(s(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
cnf(sos_06,axiom,
( ~ eq(f(X1),a1)
| ~ eq(f(X2),a1)
| ~ le(s(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
cnf(sos_04,axiom,
( eq(f(X1),a0)
| eq(f(X1),a1)
| eq(f(X1),a2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
cnf(sos_05,axiom,
( ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ le(s(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
cnf(c_0_7,axiom,
( le(X1,X3)
| ~ le(max(X1,X2),X3) ),
sos_02 ).
cnf(c_0_8,axiom,
le(X1,X1),
sos_01 ).
cnf(c_0_9,axiom,
( le(X2,X3)
| ~ le(max(X1,X2),X3) ),
sos_03 ).
cnf(c_0_10,plain,
le(X1,max(X1,X2)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,axiom,
( ~ eq(f(X1),a2)
| ~ eq(f(X2),a2)
| ~ le(s(X1),X2) ),
sos_07 ).
cnf(c_0_12,plain,
le(X1,max(X2,X1)),
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_13,axiom,
( ~ eq(f(X1),a1)
| ~ eq(f(X2),a1)
| ~ le(s(X1),X2) ),
sos_06 ).
cnf(c_0_14,plain,
le(X1,max(max(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
( ~ eq(f(max(X1,s(X2))),a2)
| ~ eq(f(X2),a2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,axiom,
( eq(f(X1),a0)
| eq(f(X1),a1)
| eq(f(X1),a2) ),
sos_04 ).
cnf(c_0_17,axiom,
( ~ eq(f(X1),a0)
| ~ eq(f(X2),a0)
| ~ le(s(X1),X2) ),
sos_05 ).
cnf(c_0_18,plain,
le(X1,max(max(X1,X2),X3)),
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_19,plain,
( ~ eq(f(max(max(X1,s(X2)),X3)),a1)
| ~ eq(f(X2),a1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( eq(f(max(X1,s(X2))),a1)
| eq(f(max(X1,s(X2))),a0)
| ~ eq(f(X2),a2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,plain,
le(X1,max(X2,max(X1,X3))),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_22,plain,
( ~ eq(f(max(max(s(X1),X2),X3)),a0)
| ~ eq(f(X1),a0) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_23,plain,
( eq(f(max(max(X1,s(X2)),s(X3))),a0)
| ~ eq(f(X2),a1)
| ~ eq(f(X3),a2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,plain,
le(X1,max(X2,max(max(X3,X1),X4))),
inference(spm,[status(thm)],[c_0_9,c_0_21]) ).
cnf(c_0_25,plain,
( ~ eq(f(max(max(s(X1),X2),X3)),a1)
| ~ eq(f(X1),a1) ),
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_26,plain,
( ~ eq(f(X1),a0)
| ~ eq(f(X2),a1)
| ~ eq(f(X3),a2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_27,plain,
( ~ eq(f(max(X1,max(max(X2,s(X3)),X4))),a2)
| ~ eq(f(X3),a2) ),
inference(spm,[status(thm)],[c_0_11,c_0_24]) ).
cnf(c_0_28,plain,
( ~ eq(f(X1),a1)
| ~ eq(f(X2),a2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_26]) ).
cnf(c_0_29,plain,
le(X1,max(X2,max(max(X1,X3),X4))),
inference(spm,[status(thm)],[c_0_7,c_0_21]) ).
cnf(c_0_30,plain,
( ~ eq(f(max(s(X1),X2)),a0)
| ~ eq(f(X1),a0) ),
inference(spm,[status(thm)],[c_0_17,c_0_10]) ).
cnf(c_0_31,plain,
( eq(f(max(X1,max(max(X2,s(X3)),X4))),a0)
| ~ eq(f(X3),a2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_16]),c_0_28]) ).
cnf(c_0_32,plain,
( ~ eq(f(max(X1,max(max(s(X2),X3),X4))),a2)
| ~ eq(f(X2),a2) ),
inference(spm,[status(thm)],[c_0_11,c_0_29]) ).
cnf(c_0_33,plain,
( ~ eq(f(X1),a0)
| ~ eq(f(X2),a2) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
~ eq(f(X1),a2),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_16]),c_0_28]),c_0_33]) ).
cnf(c_0_35,plain,
le(X1,max(X2,max(X3,X1))),
inference(spm,[status(thm)],[c_0_9,c_0_12]) ).
cnf(c_0_36,plain,
( ~ eq(f(max(X1,s(X2))),a1)
| ~ eq(f(X2),a1) ),
inference(spm,[status(thm)],[c_0_13,c_0_12]) ).
cnf(c_0_37,plain,
( eq(f(X1),a1)
| eq(f(X1),a0) ),
inference(sr,[status(thm)],[c_0_16,c_0_34]) ).
cnf(c_0_38,plain,
le(X1,max(X2,max(X3,max(X4,X1)))),
inference(spm,[status(thm)],[c_0_9,c_0_35]) ).
cnf(c_0_39,plain,
( eq(f(max(X1,s(X2))),a0)
| ~ eq(f(X2),a1) ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,plain,
le(X1,max(X2,max(X3,max(X4,max(X1,X5))))),
inference(spm,[status(thm)],[c_0_7,c_0_38]) ).
cnf(c_0_41,plain,
( ~ eq(f(max(X1,max(X2,s(X3)))),a1)
| ~ eq(f(X3),a1) ),
inference(spm,[status(thm)],[c_0_13,c_0_35]) ).
cnf(c_0_42,plain,
( ~ eq(f(X1),a0)
| ~ eq(f(X2),a1) ),
inference(spm,[status(thm)],[c_0_30,c_0_39]) ).
cnf(c_0_43,plain,
le(X1,max(X2,max(X3,max(X4,max(max(X1,X5),X6))))),
inference(spm,[status(thm)],[c_0_7,c_0_40]) ).
cnf(c_0_44,plain,
~ eq(f(X1),a1),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_37]),c_0_42]) ).
cnf(c_0_45,plain,
( ~ eq(f(max(X1,max(X2,max(X3,max(max(s(X4),X5),X6))))),a0)
| ~ eq(f(X4),a0) ),
inference(spm,[status(thm)],[c_0_17,c_0_43]) ).
cnf(c_0_46,plain,
eq(f(X1),a0),
inference(sr,[status(thm)],[c_0_37,c_0_44]) ).
cnf(c_0_47,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_46]),c_0_46])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.06 % Problem : SYO617-1 : TPTP v9.2.1. Released v7.1.0.
% 0.00/0.06 % 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
% 0.07/0.25 % Computer : n012.cluster.edu
% 0.07/0.25 % Model : x86_64 x86_64
% 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.25 % Memory : 8042.1875MB
% 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.25 % CPULimit : 300
% 0.07/0.25 % WCLimit : 300
% 0.07/0.25 % DateTime : Tue May 5 09:17:31 EDT 2026
% 0.07/0.25 % CPUTime :
% 0.07/0.25 % start to proof: theBenchmark
% 1.13/1.62 % Version : CSE_E---1.7
% 1.13/1.62 % Problem : theBenchmark.p
% 1.13/1.62 % SZS status Unsatisfiable for theBenchmark.p
% 1.13/1.62 % SZS output start CNFRefutation
% See solution above
% 1.13/1.62 % Total time : 1.361s
%------------------------------------------------------------------------------