TSTP Solution File: SEU353+1 by Enigma---0.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : SEU353+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% 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 : 600s
% DateTime : Tue Jul 19 08:41:05 EDT 2022
% Result : Theorem 8.12s 2.40s
% Output : CNFRefutation 8.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 45 ( 18 unt; 7 nHn; 40 RR)
% Number of literals : 99 ( 11 equ; 54 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-4 aty)
% Number of variables : 52 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(i_0_95,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_95) ).
cnf(i_0_34,plain,
( relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_34) ).
cnf(i_0_20,plain,
( empty(X1)
| v1_partfun1(X2,X3,X1)
| ~ function(X2)
| ~ relation_of2(X2,X3,X1)
| ~ quasi_total(X2,X3,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_20) ).
cnf(i_0_35,plain,
( quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_35) ).
cnf(i_0_36,plain,
( function(identity_on_carrier(X1))
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_36) ).
cnf(i_0_110,negated_conjecture,
~ empty_carrier(esk16_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_110) ).
cnf(i_0_47,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_47) ).
cnf(i_0_109,negated_conjecture,
one_sorted_str(esk16_0),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_109) ).
cnf(i_0_2,plain,
( quasi_total(X1,X2,X3)
| ~ function(X1)
| ~ relation_of2(X1,X2,X3)
| ~ v1_partfun1(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_2) ).
cnf(i_0_93,plain,
( apply_as_element(X1,X2,X3,X4) = apply(X3,X4)
| empty(X1)
| ~ function(X3)
| ~ element(X4,X1)
| ~ relation_of2(X3,X1,X2)
| ~ quasi_total(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_93) ).
cnf(i_0_107,negated_conjecture,
apply_as_element(the_carrier(esk16_0),the_carrier(esk16_0),identity_on_carrier(esk16_0),esk17_0) != esk17_0,
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_107) ).
cnf(i_0_108,negated_conjecture,
element(esk17_0,the_carrier(esk16_0)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_108) ).
cnf(i_0_31,plain,
relation_of2_as_subset(identity_as_relation_of(X1),X1,X1),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_31) ).
cnf(i_0_26,plain,
( identity_as_relation_of(the_carrier(X1)) = identity_on_carrier(X1)
| ~ one_sorted_str(X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_26) ).
cnf(i_0_54,plain,
function(identity_as_relation_of(X1)),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_54) ).
cnf(i_0_98,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_98) ).
cnf(i_0_99,plain,
( apply(identity_as_relation_of(X1),X2) = X2
| ~ in(X2,X1) ),
file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-jqfs5kj5/lgb.p',i_0_99) ).
cnf(c_0_128,plain,
( relation_of2(X1,X2,X3)
| ~ relation_of2_as_subset(X1,X2,X3) ),
i_0_95 ).
cnf(c_0_129,plain,
( relation_of2_as_subset(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X1) ),
i_0_34 ).
cnf(c_0_130,plain,
( empty(X1)
| v1_partfun1(X2,X3,X1)
| ~ function(X2)
| ~ relation_of2(X2,X3,X1)
| ~ quasi_total(X2,X3,X1) ),
i_0_20 ).
cnf(c_0_131,plain,
( quasi_total(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X1) ),
i_0_35 ).
cnf(c_0_132,plain,
( function(identity_on_carrier(X1))
| ~ one_sorted_str(X1) ),
i_0_36 ).
cnf(c_0_133,plain,
( relation_of2(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_134,negated_conjecture,
~ empty_carrier(esk16_0),
i_0_110 ).
cnf(c_0_135,plain,
( empty_carrier(X1)
| ~ one_sorted_str(X1)
| ~ empty(the_carrier(X1)) ),
i_0_47 ).
cnf(c_0_136,negated_conjecture,
one_sorted_str(esk16_0),
i_0_109 ).
cnf(c_0_137,plain,
( v1_partfun1(identity_on_carrier(X1),the_carrier(X1),the_carrier(X1))
| empty(the_carrier(X1))
| ~ one_sorted_str(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]),c_0_133]) ).
cnf(c_0_138,negated_conjecture,
~ empty(the_carrier(esk16_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_135]),c_0_136])]) ).
cnf(c_0_139,plain,
( quasi_total(X1,X2,X3)
| ~ function(X1)
| ~ relation_of2(X1,X2,X3)
| ~ v1_partfun1(X1,X2,X3) ),
i_0_2 ).
cnf(c_0_140,negated_conjecture,
v1_partfun1(identity_on_carrier(esk16_0),the_carrier(esk16_0),the_carrier(esk16_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_137,c_0_136]),c_0_138]) ).
cnf(c_0_141,plain,
( apply_as_element(X1,X2,X3,X4) = apply(X3,X4)
| empty(X1)
| ~ function(X3)
| ~ element(X4,X1)
| ~ relation_of2(X3,X1,X2)
| ~ quasi_total(X3,X1,X2) ),
i_0_93 ).
cnf(c_0_142,plain,
( quasi_total(identity_on_carrier(esk16_0),the_carrier(esk16_0),the_carrier(esk16_0))
| ~ relation_of2(identity_on_carrier(esk16_0),the_carrier(esk16_0),the_carrier(esk16_0))
| ~ function(identity_on_carrier(esk16_0)) ),
inference(spm,[status(thm)],[c_0_139,c_0_140]) ).
cnf(c_0_143,negated_conjecture,
apply_as_element(the_carrier(esk16_0),the_carrier(esk16_0),identity_on_carrier(esk16_0),esk17_0) != esk17_0,
i_0_107 ).
cnf(c_0_144,plain,
( apply_as_element(the_carrier(esk16_0),the_carrier(esk16_0),identity_on_carrier(esk16_0),X1) = apply(identity_on_carrier(esk16_0),X1)
| ~ relation_of2(identity_on_carrier(esk16_0),the_carrier(esk16_0),the_carrier(esk16_0))
| ~ function(identity_on_carrier(esk16_0))
| ~ element(X1,the_carrier(esk16_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_142]),c_0_138]) ).
cnf(c_0_145,negated_conjecture,
element(esk17_0,the_carrier(esk16_0)),
i_0_108 ).
cnf(c_0_146,plain,
relation_of2_as_subset(identity_as_relation_of(X1),X1,X1),
i_0_31 ).
cnf(c_0_147,negated_conjecture,
( apply(identity_on_carrier(esk16_0),esk17_0) != esk17_0
| ~ relation_of2(identity_on_carrier(esk16_0),the_carrier(esk16_0),the_carrier(esk16_0))
| ~ function(identity_on_carrier(esk16_0)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_145])]) ).
cnf(c_0_148,plain,
( identity_as_relation_of(the_carrier(X1)) = identity_on_carrier(X1)
| ~ one_sorted_str(X1) ),
i_0_26 ).
cnf(c_0_149,plain,
relation_of2(identity_as_relation_of(X1),X1,X1),
inference(spm,[status(thm)],[c_0_128,c_0_146]) ).
cnf(c_0_150,plain,
function(identity_as_relation_of(X1)),
i_0_54 ).
cnf(c_0_151,plain,
( empty(X1)
| in(X2,X1)
| ~ element(X2,X1) ),
i_0_98 ).
cnf(c_0_152,plain,
apply(identity_as_relation_of(the_carrier(esk16_0)),esk17_0) != esk17_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_149]),c_0_150]),c_0_136])]) ).
cnf(c_0_153,plain,
( apply(identity_as_relation_of(X1),X2) = X2
| ~ in(X2,X1) ),
i_0_99 ).
cnf(c_0_154,negated_conjecture,
in(esk17_0,the_carrier(esk16_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_145]),c_0_138]) ).
cnf(c_0_155,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_153]),c_0_154])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU353+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : enigmatic-eprover.py %s %d 1
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 11:50:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 # ENIGMATIC: Selected complete mode:
% 8.12/2.40 # ENIGMATIC: Solved by autoschedule-lgb:
% 8.12/2.40 # No SInE strategy applied
% 8.12/2.40 # Trying AutoSched0 for 150 seconds
% 8.12/2.40 # AutoSched0-Mode selected heuristic G_E___207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN
% 8.12/2.40 # and selection function SelectComplexExceptUniqMaxHorn.
% 8.12/2.40 #
% 8.12/2.40 # Preprocessing time : 0.014 s
% 8.12/2.40 # Presaturation interreduction done
% 8.12/2.40
% 8.12/2.40 # Proof found!
% 8.12/2.40 # SZS status Theorem
% 8.12/2.40 # SZS output start CNFRefutation
% See solution above
% 8.12/2.40 # Training examples: 0 positive, 0 negative
% 8.12/2.40
% 8.12/2.40 # -------------------------------------------------
% 8.12/2.40 # User time : 0.017 s
% 8.12/2.40 # System time : 0.005 s
% 8.12/2.40 # Total time : 0.021 s
% 8.12/2.40 # Maximum resident set size: 7124 pages
% 8.12/2.40
%------------------------------------------------------------------------------