TSTP Solution File: ALG055+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : ALG055+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n032.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 : 600s
% DateTime : Thu Jul 14 14:47:31 EDT 2022
% Result : Theorem 7.48s 2.20s
% Output : CNFRefutation 7.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 33
% Syntax : Number of clauses : 104 ( 54 unt; 27 nHn; 104 RR)
% Number of literals : 215 ( 166 equ; 84 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_198,plain,
op(e2,op(e2,e2)) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_198) ).
cnf(i_0_197,plain,
op(e2,e2) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_197) ).
cnf(i_0_109,plain,
op(e2,e3) != op(e2,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_109) ).
cnf(i_0_162,plain,
op(e1,e2) != op(e2,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_162) ).
cnf(i_0_587,plain,
( op(e2,e4) = e2
| op(e2,e2) != e4
| ~ epred5_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_587) ).
cnf(i_0_189,plain,
e3 != e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_189) ).
cnf(i_0_533,plain,
( op(e2,e3) = e4
| op(e2,e4) != e3
| ~ epred4_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_533) ).
cnf(i_0_165,plain,
op(e0,e2) != op(e2,e2),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_165) ).
cnf(i_0_199,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_199) ).
cnf(i_0_493,plain,
( op(e1,e2) = e4
| op(e1,e4) != e2
| ~ epred3_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_493) ).
cnf(i_0_201,negated_conjecture,
( epred1_0
| epred2_0
| epred3_0
| epred4_0
| epred5_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_201) ).
cnf(i_0_200,plain,
op(op(e2,e2),op(e2,e2)) = e0,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_200) ).
cnf(i_0_503,plain,
( op(e0,e2) = e4
| op(e0,e4) != e2
| ~ epred3_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_503) ).
cnf(i_0_422,plain,
( e1 != unit
| op(e3,e4) != e1
| ~ epred2_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_422) ).
cnf(i_0_28,plain,
op(unit,e4) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_28) ).
cnf(i_0_26,plain,
( unit = e0
| e1 = unit
| unit = e2
| e3 = unit
| e4 = unit ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_26) ).
cnf(i_0_190,plain,
e4 != e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_190) ).
cnf(i_0_41,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_41) ).
cnf(i_0_195,plain,
e0 != e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_195) ).
cnf(i_0_192,plain,
e1 != e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_192) ).
cnf(i_0_363,plain,
( op(e4,e0) = e4
| op(e4,e4) != e0
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_363) ).
cnf(i_0_27,plain,
op(e4,unit) = e4,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_27) ).
cnf(i_0_110,plain,
op(e2,e4) != op(e2,e1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_110) ).
cnf(i_0_96,plain,
op(e4,e1) != op(e4,e0),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_96) ).
cnf(i_0_435,plain,
( op(e2,e1) = e3
| op(e2,e3) != e1
| ~ epred2_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_435) ).
cnf(i_0_34,plain,
op(unit,e1) = e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_34) ).
cnf(i_0_64,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_64) ).
cnf(i_0_191,plain,
e3 != e1,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_191) ).
cnf(i_0_362,plain,
( unit != e0
| op(e4,e4) != e0
| ~ epred1_0 ),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_362) ).
cnf(i_0_175,plain,
op(e0,e1) != op(e2,e1),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_175) ).
cnf(i_0_31,plain,
op(e2,unit) = e2,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_31) ).
cnf(i_0_107,plain,
op(e2,e4) != op(e2,e3),
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_107) ).
cnf(i_0_30,plain,
op(unit,e3) = e3,
file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-daode8qw/input.p',i_0_30) ).
cnf(c_0_621,plain,
op(e2,op(e2,e2)) = e3,
i_0_198 ).
cnf(c_0_622,plain,
op(e2,e2) = e4,
i_0_197 ).
cnf(c_0_623,plain,
op(e2,e3) != op(e2,e2),
i_0_109 ).
cnf(c_0_624,plain,
op(e1,e2) != op(e2,e2),
i_0_162 ).
cnf(c_0_625,plain,
( op(e2,e4) = e2
| op(e2,e2) != e4
| ~ epred5_0 ),
i_0_587 ).
cnf(c_0_626,plain,
op(e2,e4) = e3,
inference(rw,[status(thm)],[c_0_621,c_0_622]) ).
cnf(c_0_627,plain,
e3 != e2,
i_0_189 ).
cnf(c_0_628,plain,
( op(e2,e3) = e4
| op(e2,e4) != e3
| ~ epred4_0 ),
i_0_533 ).
cnf(c_0_629,plain,
op(e2,e3) != e4,
inference(rw,[status(thm)],[c_0_623,c_0_622]) ).
cnf(c_0_630,plain,
op(e0,e2) != op(e2,e2),
i_0_165 ).
cnf(c_0_631,plain,
op(op(e2,op(e2,e2)),op(e2,e2)) = e1,
i_0_199 ).
cnf(c_0_632,plain,
( op(e1,e2) = e4
| op(e1,e4) != e2
| ~ epred3_0 ),
i_0_493 ).
cnf(c_0_633,plain,
op(e1,e2) != e4,
inference(rw,[status(thm)],[c_0_624,c_0_622]) ).
cnf(c_0_634,negated_conjecture,
( epred1_0
| epred2_0
| epred3_0
| epred4_0
| epred5_0 ),
i_0_201 ).
cnf(c_0_635,plain,
~ epred5_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_625,c_0_626]),c_0_622])]),c_0_627]) ).
cnf(c_0_636,plain,
~ epred4_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_628,c_0_626])]),c_0_629]) ).
cnf(c_0_637,plain,
op(op(e2,e2),op(e2,e2)) = e0,
i_0_200 ).
cnf(c_0_638,plain,
( op(e0,e2) = e4
| op(e0,e4) != e2
| ~ epred3_0 ),
i_0_503 ).
cnf(c_0_639,plain,
op(e0,e2) != e4,
inference(rw,[status(thm)],[c_0_630,c_0_622]) ).
cnf(c_0_640,plain,
( e1 != unit
| op(e3,e4) != e1
| ~ epred2_0 ),
i_0_422 ).
cnf(c_0_641,plain,
op(e3,e4) = e1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_631,c_0_622]),c_0_626]),c_0_622]) ).
cnf(c_0_642,plain,
op(unit,e4) = e4,
i_0_28 ).
cnf(c_0_643,plain,
( unit = e0
| e1 = unit
| unit = e2
| e3 = unit
| e4 = unit ),
i_0_26 ).
cnf(c_0_644,plain,
e4 != e1,
i_0_190 ).
cnf(c_0_645,plain,
( op(e1,e4) != e2
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_632,c_0_633]) ).
cnf(c_0_646,negated_conjecture,
( epred3_0
| epred2_0
| epred1_0 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_634,c_0_635]),c_0_636]) ).
cnf(c_0_647,plain,
( op(e0,e4) = e2
| op(e1,e4) = e2
| op(e2,e4) = e2
| op(e3,e4) = e2
| op(e4,e4) = e2 ),
i_0_41 ).
cnf(c_0_648,plain,
op(e4,e4) = e0,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_637,c_0_622]),c_0_622]) ).
cnf(c_0_649,plain,
e0 != e2,
i_0_195 ).
cnf(c_0_650,plain,
e1 != e2,
i_0_192 ).
cnf(c_0_651,plain,
( op(e0,e4) != e2
| ~ epred3_0 ),
inference(sr,[status(thm)],[c_0_638,c_0_639]) ).
cnf(c_0_652,plain,
( unit != e1
| ~ epred2_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_640,c_0_641])]) ).
cnf(c_0_653,plain,
( unit = e2
| unit = e4
| unit = e0
| unit = e1 ),
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_642,c_0_643]),c_0_641]),c_0_644]) ).
cnf(c_0_654,plain,
( epred2_0
| epred1_0
| op(e1,e4) != e2 ),
inference(spm,[status(thm)],[c_0_645,c_0_646]) ).
cnf(c_0_655,plain,
( op(e1,e4) = e2
| op(e0,e4) = e2 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_647,c_0_626]),c_0_648]),c_0_641]),c_0_627]),c_0_649]),c_0_650]) ).
cnf(c_0_656,plain,
( epred2_0
| epred1_0
| op(e0,e4) != e2 ),
inference(spm,[status(thm)],[c_0_651,c_0_646]) ).
cnf(c_0_657,plain,
( op(e4,e0) = e4
| op(e4,e4) != e0
| ~ epred1_0 ),
i_0_363 ).
cnf(c_0_658,plain,
( unit = e0
| unit = e4
| unit = e2
| ~ epred2_0 ),
inference(spm,[status(thm)],[c_0_652,c_0_653]) ).
cnf(c_0_659,plain,
( epred2_0
| epred1_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_654,c_0_655]),c_0_656]) ).
cnf(c_0_660,plain,
op(e4,unit) = e4,
i_0_27 ).
cnf(c_0_661,plain,
( op(e4,e0) = e4
| ~ epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_657,c_0_648])]) ).
cnf(c_0_662,plain,
( unit = e2
| unit = e4
| unit = e0
| epred1_0 ),
inference(spm,[status(thm)],[c_0_658,c_0_659]) ).
cnf(c_0_663,plain,
op(e2,e4) != op(e2,e1),
i_0_110 ).
cnf(c_0_664,plain,
op(e4,e1) != op(e4,e0),
i_0_96 ).
cnf(c_0_665,plain,
( op(e4,e1) = e4
| unit = e0
| unit = e4
| unit = e2 ),
inference(spm,[status(thm)],[c_0_660,c_0_653]) ).
cnf(c_0_666,plain,
( op(e4,e0) = e4
| unit = e0
| unit = e4
| unit = e2 ),
inference(spm,[status(thm)],[c_0_661,c_0_662]) ).
cnf(c_0_667,plain,
( op(e2,e1) = e3
| op(e2,e3) != e1
| ~ epred2_0 ),
i_0_435 ).
cnf(c_0_668,plain,
op(e2,e1) != e3,
inference(rw,[status(thm)],[c_0_663,c_0_626]) ).
cnf(c_0_669,plain,
op(unit,e1) = e1,
i_0_34 ).
cnf(c_0_670,plain,
( unit = e2
| unit = e4
| unit = e0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_664,c_0_665]),c_0_666]) ).
cnf(c_0_671,plain,
( op(e2,e3) != e1
| ~ epred2_0 ),
inference(sr,[status(thm)],[c_0_667,c_0_668]) ).
cnf(c_0_672,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| op(e2,e2) = e1
| op(e2,e3) = e1
| op(e2,e4) = e1 ),
i_0_64 ).
cnf(c_0_673,plain,
e3 != e1,
i_0_191 ).
cnf(c_0_674,plain,
( unit != e0
| op(e4,e4) != e0
| ~ epred1_0 ),
i_0_362 ).
cnf(c_0_675,plain,
op(e0,e1) != op(e2,e1),
i_0_175 ).
cnf(c_0_676,plain,
( op(e0,e1) = e1
| unit = e4
| unit = e2 ),
inference(spm,[status(thm)],[c_0_669,c_0_670]) ).
cnf(c_0_677,plain,
( epred1_0
| op(e2,e3) != e1 ),
inference(spm,[status(thm)],[c_0_671,c_0_659]) ).
cnf(c_0_678,plain,
( op(e2,e3) = e1
| op(e2,e1) = e1
| op(e2,e0) = e1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_672,c_0_622]),c_0_626]),c_0_644]),c_0_673]) ).
cnf(c_0_679,plain,
( unit != e0
| ~ epred1_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_674,c_0_648])]) ).
cnf(c_0_680,plain,
op(e2,unit) = e2,
i_0_31 ).
cnf(c_0_681,plain,
( unit = e2
| unit = e4
| op(e2,e1) != e1 ),
inference(spm,[status(thm)],[c_0_675,c_0_676]) ).
cnf(c_0_682,plain,
( op(e2,e0) = e1
| op(e2,e1) = e1
| epred1_0 ),
inference(spm,[status(thm)],[c_0_677,c_0_678]) ).
cnf(c_0_683,plain,
( unit = e4
| unit = e2
| ~ epred1_0 ),
inference(spm,[status(thm)],[c_0_679,c_0_670]) ).
cnf(c_0_684,plain,
( op(e2,e0) = e2
| unit = e4
| unit = e2 ),
inference(spm,[status(thm)],[c_0_680,c_0_670]) ).
cnf(c_0_685,plain,
( op(e2,e0) = e1
| unit = e4
| unit = e2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_681,c_0_682]),c_0_683]) ).
cnf(c_0_686,plain,
( unit = e2
| unit = e4 ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_684,c_0_685]),c_0_650]) ).
cnf(c_0_687,plain,
op(e2,e4) != op(e2,e3),
i_0_107 ).
cnf(c_0_688,plain,
op(unit,e3) = e3,
i_0_30 ).
cnf(c_0_689,plain,
unit = e2,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_680,c_0_686]),c_0_626]),c_0_627]) ).
cnf(c_0_690,plain,
op(e2,e3) != e3,
inference(rw,[status(thm)],[c_0_687,c_0_626]) ).
cnf(c_0_691,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_688,c_0_689]),c_0_690]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : ALG055+1 : TPTP v8.1.0. Released v2.7.0.
% 0.05/0.11 % Command : enigmatic-eprover.py %s %d 1
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Wed Jun 8 19:39:23 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.16/0.39 # ENIGMATIC: Selected complete mode:
% 7.48/2.19 # ENIGMATIC: Solved by autoschedule:
% 7.48/2.20 # No SInE strategy applied
% 7.48/2.20 # Trying AutoSched0 for 150 seconds
% 7.48/2.20 # AutoSched0-Mode selected heuristic H_____102_C18_F1_PI_AE_Q4_CS_SP_S1S
% 7.48/2.20 # and selection function SelectComplexAHP.
% 7.48/2.20 #
% 7.48/2.20 # Preprocessing time : 0.021 s
% 7.48/2.20
% 7.48/2.20 # Proof found!
% 7.48/2.20 # SZS status Theorem
% 7.48/2.20 # SZS output start CNFRefutation
% See solution above
% 7.48/2.20 # Training examples: 0 positive, 0 negative
% 7.48/2.20
% 7.48/2.20 # -------------------------------------------------
% 7.48/2.20 # User time : 0.059 s
% 7.48/2.20 # System time : 0.001 s
% 7.48/2.20 # Total time : 0.060 s
% 7.48/2.20 # Maximum resident set size: 7120 pages
% 7.48/2.20
%------------------------------------------------------------------------------