TSTP Solution File: SYO630-1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SYO630-1 : TPTP v8.1.2. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n028.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 : Fri Sep 1 04:40:26 EDT 2023
% Result : Unsatisfiable 0.83s 1.17s
% Output : CNFRefutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of clauses : 47 ( 13 unt; 14 nHn; 43 RR)
% Number of literals : 106 ( 0 equ; 60 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 52 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c_49,plain,
( 'E'(s(s(s(s(s('0'))))),f(X0))
| 'LE'(f(X0),s(s(s(s(s('0')))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_8_01) ).
cnf(c_50,plain,
iLEQ(X0,g(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_13_02) ).
cnf(c_52,plain,
iLEQ(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_18_04) ).
cnf(c_54,plain,
( ~ 'LE'(f(X0),s('0'))
| ~ iLEQ(X0,X1)
| 'E'('0',f(X1))
| 'LE'(f(X1),'0') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1_06) ).
cnf(c_55,plain,
~ 'LE'(f(X0),'0'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6_07) ).
cnf(c_58,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(g(X0)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X0))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3_10) ).
cnf(c_59,plain,
( ~ 'E'(s(s(s('0'))),f(g(X0)))
| ~ 'E'(s(s(s('0'))),f(X0))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_21_11) ).
cnf(c_60,plain,
( ~ 'E'(s(s('0')),f(g(X0)))
| ~ 'E'(s(s('0')),f(X0))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_27_12) ).
cnf(c_61,plain,
( ~ 'E'(s('0'),f(g(X0)))
| ~ 'E'(s('0'),f(X0))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_30_13) ).
cnf(c_63,plain,
( ~ 'LE'(f(X0),s(s(s('0'))))
| ~ iLEQ(X0,X1)
| 'E'(s(s('0')),f(X1))
| 'LE'(f(X1),s(s('0'))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_16_15) ).
cnf(c_64,plain,
( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
| ~ iLEQ(X0,X1)
| 'E'(s(s(s(s('0')))),f(X1))
| 'LE'(f(X1),s(s(s(s('0'))))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_16) ).
cnf(c_65,plain,
( ~ 'LE'(f(X0),s(s(s(s('0')))))
| ~ iLEQ(X0,X1)
| 'E'(s(s(s('0'))),f(X1))
| 'LE'(f(X1),s(s(s('0')))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_26_17) ).
cnf(c_72,plain,
( ~ 'E'('0',f(g(X0)))
| ~ 'E'('0',f(X0))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_29_24) ).
cnf(c_78,plain,
( ~ 'E'(s(s(s(s('0')))),f(g(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0))
| 'E'(f(X0),f(g(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_12_30) ).
cnf(c_79,plain,
~ 'E'(f(X0),f(g(X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_24_31) ).
cnf(c_80,plain,
( ~ 'LE'(f(X0),s(s('0')))
| ~ iLEQ(X0,X1)
| 'E'(s('0'),f(X1))
| 'LE'(f(X1),s('0')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_17_32) ).
cnf(c_107,plain,
( ~ 'E'(s(s(s('0'))),f(X0))
| ~ 'E'(s(s(s('0'))),f(g(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_59,c_79,c_59]) ).
cnf(c_108,plain,
( ~ 'E'(s(s(s('0'))),f(g(X0)))
| ~ 'E'(s(s(s('0'))),f(X0)) ),
inference(renaming,[status(thm)],[c_107]) ).
cnf(c_110,plain,
( ~ 'E'(s(s(s(s('0')))),f(X0))
| ~ 'E'(s(s(s(s('0')))),f(g(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_78,c_79,c_78]) ).
cnf(c_111,plain,
( ~ 'E'(s(s(s(s('0')))),f(g(X0)))
| ~ 'E'(s(s(s(s('0')))),f(X0)) ),
inference(renaming,[status(thm)],[c_110]) ).
cnf(c_113,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(X0))
| ~ 'E'(s(s(s(s(s('0'))))),f(g(X0))) ),
inference(global_subsumption_just,[status(thm)],[c_58,c_79,c_58]) ).
cnf(c_114,plain,
( ~ 'E'(s(s(s(s(s('0'))))),f(g(X0)))
| ~ 'E'(s(s(s(s(s('0'))))),f(X0)) ),
inference(renaming,[status(thm)],[c_113]) ).
cnf(c_122,plain,
( ~ 'LE'(f(X0),s('0'))
| ~ iLEQ(X0,X1)
| 'E'('0',f(X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_54,c_55]) ).
cnf(c_192,plain,
( ~ 'LE'(f(X0),s('0'))
| 'E'('0',f(g(X0))) ),
inference(resolution,[status(thm)],[c_50,c_122]) ).
cnf(c_200,plain,
( ~ 'LE'(f(X0),s(s('0')))
| 'E'(s('0'),f(g(X0)))
| 'LE'(f(g(X0)),s('0')) ),
inference(resolution,[status(thm)],[c_50,c_80]) ).
cnf(c_211,plain,
( ~ 'LE'(f(X0),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(g(X0)))
| 'LE'(f(g(X0)),s(s(s('0')))) ),
inference(resolution,[status(thm)],[c_50,c_65]) ).
cnf(c_222,plain,
( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(g(X0)))
| 'LE'(f(g(X0)),s(s(s(s('0'))))) ),
inference(resolution,[status(thm)],[c_50,c_64]) ).
cnf(c_233,plain,
( ~ 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s('0')),f(g(X0)))
| 'LE'(f(g(X0)),s(s('0'))) ),
inference(resolution,[status(thm)],[c_50,c_63]) ).
cnf(c_244,plain,
( ~ 'LE'(f(X0),s('0'))
| 'E'('0',f(X0)) ),
inference(resolution,[status(thm)],[c_52,c_122]) ).
cnf(c_246,plain,
~ 'LE'(f(X0),s('0')),
inference(global_subsumption_just,[status(thm)],[c_244,c_79,c_72,c_192,c_244]) ).
cnf(c_252,plain,
( ~ 'LE'(f(X0),s(s('0')))
| 'E'(s('0'),f(g(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_200,c_246]) ).
cnf(c_254,plain,
( ~ 'LE'(f(X0),s(s('0')))
| 'E'(s('0'),f(X0))
| 'LE'(f(X0),s('0')) ),
inference(resolution,[status(thm)],[c_52,c_80]) ).
cnf(c_256,plain,
~ 'LE'(f(X0),s(s('0'))),
inference(global_subsumption_just,[status(thm)],[c_254,c_79,c_61,c_246,c_252,c_254]) ).
cnf(c_262,plain,
( ~ 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s('0')),f(g(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_233,c_256]) ).
cnf(c_264,plain,
( ~ 'LE'(f(X0),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X0))
| 'LE'(f(X0),s(s(s('0')))) ),
inference(resolution,[status(thm)],[c_52,c_65]) ).
cnf(c_275,plain,
( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
| 'E'(s(s(s(s('0')))),f(X0))
| 'LE'(f(X0),s(s(s(s('0'))))) ),
inference(resolution,[status(thm)],[c_52,c_64]) ).
cnf(c_286,plain,
( ~ 'LE'(f(X0),s(s(s('0'))))
| 'E'(s(s('0')),f(X0))
| 'LE'(f(X0),s(s('0'))) ),
inference(resolution,[status(thm)],[c_52,c_63]) ).
cnf(c_288,plain,
~ 'LE'(f(X0),s(s(s('0')))),
inference(global_subsumption_just,[status(thm)],[c_286,c_79,c_60,c_256,c_262,c_286]) ).
cnf(c_294,plain,
( ~ 'LE'(f(X0),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(g(X0))) ),
inference(backward_subsumption_resolution,[status(thm)],[c_211,c_288]) ).
cnf(c_295,plain,
( ~ 'LE'(f(X0),s(s(s(s('0')))))
| 'E'(s(s(s('0'))),f(X0)) ),
inference(backward_subsumption_resolution,[status(thm)],[c_264,c_288]) ).
cnf(c_311,plain,
~ 'LE'(f(X0),s(s(s(s('0'))))),
inference(global_subsumption_just,[status(thm)],[c_295,c_108,c_295,c_294]) ).
cnf(c_314,plain,
~ 'LE'(f(X0),s(s(s(s('0'))))),
inference(global_subsumption_just,[status(thm)],[c_294,c_108,c_295,c_294]) ).
cnf(c_319,plain,
( ~ 'LE'(f(X0),s(s(s(s(s('0'))))))
| 'LE'(f(g(X0)),s(s(s(s('0'))))) ),
inference(global_subsumption_just,[status(thm)],[c_222,c_111,c_222,c_275,c_311]) ).
cnf(c_330,plain,
~ 'LE'(f(X0),s(s(s(s(s('0')))))),
inference(backward_subsumption_resolution,[status(thm)],[c_319,c_314]) ).
cnf(c_334,plain,
'E'(s(s(s(s(s('0'))))),f(X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_49,c_330]) ).
cnf(c_338,plain,
~ 'E'(s(s(s(s(s('0'))))),f(X0)),
inference(backward_subsumption_resolution,[status(thm)],[c_114,c_334]) ).
cnf(c_339,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_338,c_330,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO630-1 : TPTP v8.1.2. Released v7.1.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 03:52:06 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.83/1.17 % SZS status Started for theBenchmark.p
% 0.83/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.83/1.17
% 0.83/1.17 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.83/1.17
% 0.83/1.17 ------ iProver source info
% 0.83/1.17
% 0.83/1.17 git: date: 2023-05-31 18:12:56 +0000
% 0.83/1.17 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.83/1.17 git: non_committed_changes: false
% 0.83/1.17 git: last_make_outside_of_git: false
% 0.83/1.17
% 0.83/1.17 ------ Parsing...successful
% 0.83/1.17
% 0.83/1.17
% 0.83/1.17
% 0.83/1.17 ------ Preprocessing... sf_s rm: 2 0s sf_e pe_s pe:1:0s pe_e
% 0.83/1.17
% 0.83/1.17 % SZS status Unsatisfiable for theBenchmark.p
% 0.83/1.17
% 0.83/1.17 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.83/1.17
% 0.83/1.17
%------------------------------------------------------------------------------