TSTP Solution File: ITP015+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : ITP015+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n025.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 : Sat Jul 16 22:45:57 EDT 2022
% Result : Theorem 0.23s 1.42s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 25 ( 20 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 4 ~; 3 |; 2 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 34 ( 3 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thm_2Einteger__word_2Ei2w__0,conjecture,
! [X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Einteger__word_2Ei2w__0) ).
fof(thm_2Einteger__word_2Ei2w__def,axiom,
! [X1,X28] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,X28))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,X28),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X28))))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,X28))))))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Einteger__word_2Ei2w__def) ).
fof(thm_2Einteger_2ENUM__OF__INT,axiom,
! [X26] : s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,X26))))) = s(tyop_2Enum_2Enum,X26),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Einteger_2ENUM__OF__INT) ).
fof(thm_2Ewords_2EWORD__NEG__0,axiom,
! [X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Ewords_2EWORD__NEG__0) ).
fof(thm_2Einteger_2EINT__NEG__0,axiom,
s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Einteger_2EINT__NEG__0) ).
fof(reserved_2Eho_2Ebool__cases__ax,axiom,
! [X8] :
( s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',reserved_2Eho_2Ebool__cases__ax) ).
fof(thm_2Ebool_2Ebool__case__thm,axiom,
! [X1] :
( ! [X16,X17] : s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X16),s(X1,X17))) = s(X1,X16)
& ! [X24,X25] : s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X1,X24),s(X1,X25))) = s(X1,X25) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',thm_2Ebool_2Ebool__case__thm) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(assume_negation,[status(cth)],[thm_2Einteger__word_2Ei2w__0]) ).
fof(c_0_8,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_9,plain,
! [X29,X30] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X29),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,X30))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X29),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,X30),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X29),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X29),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X30))))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X29),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,X30))))))),
inference(variable_rename,[status(thm)],[thm_2Einteger__word_2Ei2w__def]) ).
fof(c_0_10,plain,
! [X27] : s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,X27))))) = s(tyop_2Enum_2Enum,X27),
inference(variable_rename,[status(thm)],[thm_2Einteger_2ENUM__OF__INT]) ).
fof(c_0_11,plain,
! [X2] : s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X2),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(variable_rename,[status(thm)],[thm_2Ewords_2EWORD__NEG__0]) ).
cnf(c_0_12,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Einteger__word_2Ei2w_2E1(s(tyop_2Einteger_2Eint,X2))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,X2),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,X2))))))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,X2))))))),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__neg_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(split_conjunct,[status(thm)],[thm_2Einteger_2EINT__NEG__0]) ).
cnf(c_0_15,plain,
s(tyop_2Enum_2Enum,c_2Einteger_2ENum_2E1(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,X1))))) = s(tyop_2Enum_2Enum,X1),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2Eword__2comp_2E1(s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,X1),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_17,plain,
! [X9] :
( s(tyop_2Emin_2Ebool,X9) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X9) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(variable_rename,[status(thm)],[reserved_2Eho_2Ebool__cases__ax]) ).
fof(c_0_18,plain,
! [X26,X27,X28,X26,X29,X30] :
( s(X26,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X26,X27),s(X26,X28))) = s(X26,X27)
& s(X26,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X26,X29),s(X26,X30))) = s(X26,X30) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[thm_2Ebool_2Ebool__case__thm])])])]) ).
cnf(c_0_19,negated_conjecture,
s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) != s(tyop_2Efcp_2Ecart(tyop_2Emin_2Ebool,esk1_0),c_2Ewords_2En2w_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_16]),c_0_15]) ).
cnf(c_0_20,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,plain,
s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0),s(X1,X2),s(X1,X3))) = s(X1,X3),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
s(tyop_2Emin_2Ebool,c_2Einteger_2Eint__lt_2E2(s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))),s(tyop_2Einteger_2Eint,c_2Einteger_2Eint__of__num_2E1(s(tyop_2Enum_2Enum,c_2Enum_2E0_2E0))))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_23,plain,
s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),s(X1,X2),s(X1,X3))) = s(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_24,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_22]),c_0_23])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ITP015+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.06/0.13 % Command : run_ET %s %d
% 0.13/0.34 % Computer : n025.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 : 600
% 0.13/0.34 % DateTime : Fri Jun 3 08:27:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.23/1.42 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.23/1.42 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.23/1.42 # Preprocessing time : 0.019 s
% 0.23/1.42
% 0.23/1.42 # Proof found!
% 0.23/1.42 # SZS status Theorem
% 0.23/1.42 # SZS output start CNFRefutation
% See solution above
% 0.23/1.42 # Proof object total steps : 25
% 0.23/1.42 # Proof object clause steps : 11
% 0.23/1.42 # Proof object formula steps : 14
% 0.23/1.42 # Proof object conjectures : 7
% 0.23/1.42 # Proof object clause conjectures : 4
% 0.23/1.42 # Proof object formula conjectures : 3
% 0.23/1.42 # Proof object initial clauses used : 8
% 0.23/1.42 # Proof object initial formulas used : 7
% 0.23/1.42 # Proof object generating inferences : 1
% 0.23/1.42 # Proof object simplifying inferences : 10
% 0.23/1.42 # Training examples: 0 positive, 0 negative
% 0.23/1.42 # Parsed axioms : 50
% 0.23/1.42 # Removed by relevancy pruning/SinE : 31
% 0.23/1.42 # Initial clauses : 39
% 0.23/1.42 # Removed in clause preprocessing : 13
% 0.23/1.42 # Initial clauses in saturation : 26
% 0.23/1.42 # Processed clauses : 37
% 0.23/1.42 # ...of these trivial : 2
% 0.23/1.42 # ...subsumed : 8
% 0.23/1.42 # ...remaining for further processing : 27
% 0.23/1.42 # Other redundant clauses eliminated : 0
% 0.23/1.42 # Clauses deleted for lack of memory : 0
% 0.23/1.42 # Backward-subsumed : 0
% 0.23/1.42 # Backward-rewritten : 3
% 0.23/1.42 # Generated clauses : 453
% 0.23/1.42 # ...of the previous two non-trivial : 280
% 0.23/1.42 # Contextual simplify-reflections : 0
% 0.23/1.42 # Paramodulations : 423
% 0.23/1.42 # Factorizations : 28
% 0.23/1.42 # Equation resolutions : 2
% 0.23/1.42 # Current number of processed clauses : 24
% 0.23/1.42 # Positive orientable unit clauses : 10
% 0.23/1.42 # Positive unorientable unit clauses: 2
% 0.23/1.42 # Negative unit clauses : 2
% 0.23/1.42 # Non-unit-clauses : 10
% 0.23/1.42 # Current number of unprocessed clauses: 261
% 0.23/1.42 # ...number of literals in the above : 875
% 0.23/1.42 # Current number of archived formulas : 0
% 0.23/1.42 # Current number of archived clauses : 3
% 0.23/1.42 # Clause-clause subsumption calls (NU) : 29
% 0.23/1.42 # Rec. Clause-clause subsumption calls : 19
% 0.23/1.42 # Non-unit clause-clause subsumptions : 5
% 0.23/1.42 # Unit Clause-clause subsumption calls : 1
% 0.23/1.42 # Rewrite failures with RHS unbound : 0
% 0.23/1.42 # BW rewrite match attempts : 16
% 0.23/1.42 # BW rewrite match successes : 4
% 0.23/1.42 # Condensation attempts : 0
% 0.23/1.42 # Condensation successes : 0
% 0.23/1.42 # Termbank termtop insertions : 13569
% 0.23/1.42
% 0.23/1.42 # -------------------------------------------------
% 0.23/1.42 # User time : 0.027 s
% 0.23/1.42 # System time : 0.003 s
% 0.23/1.42 # Total time : 0.030 s
% 0.23/1.42 # Maximum resident set size: 3424 pages
%------------------------------------------------------------------------------