TSTP Solution File: ITP209_1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ITP209_1 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 : Mon May 20 22:19:49 EDT 2024
% Result : Theorem 0.21s 0.49s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 12
% Syntax : Number of formulae : 20 ( 11 unt; 9 typ; 0 def)
% Number of atoms : 11 ( 10 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 3 ( 3 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_sort1,type,
fun_a_fun_a_a: $tType ).
tff(decl_sort2,type,
a: $tType ).
tff(decl_sort3,type,
fun_a_a: $tType ).
tff(decl_23,type,
aa_a_fun_a_a: ( fun_a_fun_a_a * a ) > fun_a_a ).
tff(decl_24,type,
aa_a_a: ( fun_a_a * a ) > a ).
tff(decl_28,type,
a2: a ).
tff(decl_29,type,
b: a ).
tff(decl_30,type,
c: a ).
tff(decl_31,type,
f: fun_a_fun_a_a ).
tff(conj_0,conjecture,
aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) = aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
tff(fact_3_right__assoc,axiom,
! [X1: a,X2: a,X3: a] : ( aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,X1),X2)),X3) = aa_a_a(aa_a_fun_a_a(f,X1),aa_a_a(aa_a_fun_a_a(f,X2),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_right__assoc) ).
tff(fact_1_commute,axiom,
! [X1: a,X2: a] : ( aa_a_a(aa_a_fun_a_a(f,X1),X2) = aa_a_a(aa_a_fun_a_a(f,X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_commute) ).
tff(c_0_3,negated_conjecture,
aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
tff(c_0_4,negated_conjecture,
aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),
inference(fof_nnf,[status(thm)],[c_0_3]) ).
tff(c_0_5,plain,
! [X49: a,X50: a,X51: a] : ( aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,X49),X50)),X51) = aa_a_a(aa_a_fun_a_a(f,X49),aa_a_a(aa_a_fun_a_a(f,X50),X51)) ),
inference(variable_rename,[status(thm)],[fact_3_right__assoc]) ).
tff(c_0_6,plain,
! [X44: a,X45: a] : ( aa_a_a(aa_a_fun_a_a(f,X44),X45) = aa_a_a(aa_a_fun_a_a(f,X45),X44) ),
inference(variable_rename,[status(thm)],[fact_1_commute]) ).
tcf(c_0_7,negated_conjecture,
aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),b)),c) != aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,a2),c)),b),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
tcf(c_0_8,plain,
! [X1: a,X2: a,X3: a] : aa_a_a(aa_a_fun_a_a(f,aa_a_a(aa_a_fun_a_a(f,X1),X2)),X3) = aa_a_a(aa_a_fun_a_a(f,X1),aa_a_a(aa_a_fun_a_a(f,X2),X3)),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
tcf(c_0_9,plain,
! [X2: a,X1: a] : aa_a_a(aa_a_fun_a_a(f,X1),X2) = aa_a_a(aa_a_fun_a_a(f,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_7,c_0_8]),c_0_9]),c_0_8])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP209_1 : TPTP v8.2.0. Released v8.0.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat May 18 17:11:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.21/0.47 Running first-order model finding
% 0.21/0.47 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 # Version: 3.1.0
% 0.21/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.49 # Starting sh5l with 300s (1) cores
% 0.21/0.49 # new_bool_3 with pid 31585 completed with status 0
% 0.21/0.49 # Result found by new_bool_3
% 0.21/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.49 # Search class: FHUSS-FFMF21-MFFFFFNN
% 0.21/0.49 # partial match(1): FHUSM-FFMF21-MFFFFFNN
% 0.21/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.49 # Starting G-E--_100_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y with 160s (1) cores
% 0.21/0.49 # G-E--_100_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y with pid 31591 completed with status 0
% 0.21/0.49 # Result found by G-E--_100_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y
% 0.21/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.49 # Search class: FHUSS-FFMF21-MFFFFFNN
% 0.21/0.49 # partial match(1): FHUSM-FFMF21-MFFFFFNN
% 0.21/0.49 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.49 # Starting G-E--_100_C18_F1_PI_AE_Q4_CS_SP_PS_S0Y with 160s (1) cores
% 0.21/0.49 # Preprocessing time : 0.001 s
% 0.21/0.49 # Presaturation interreduction done
% 0.21/0.49
% 0.21/0.49 # Proof found!
% 0.21/0.49 # SZS status Theorem
% 0.21/0.49 # SZS output start CNFRefutation
% See solution above
% 0.21/0.49 # Parsed axioms : 27
% 0.21/0.49 # Removed by relevancy pruning/SinE : 16
% 0.21/0.49 # Initial clauses : 13
% 0.21/0.49 # Removed in clause preprocessing : 0
% 0.21/0.49 # Initial clauses in saturation : 13
% 0.21/0.49 # Processed clauses : 6
% 0.21/0.49 # ...of these trivial : 0
% 0.21/0.49 # ...subsumed : 1
% 0.21/0.49 # ...remaining for further processing : 4
% 0.21/0.49 # Other redundant clauses eliminated : 0
% 0.21/0.49 # Clauses deleted for lack of memory : 0
% 0.21/0.49 # Backward-subsumed : 0
% 0.21/0.49 # Backward-rewritten : 0
% 0.21/0.49 # Generated clauses : 0
% 0.21/0.49 # ...of the previous two non-redundant : 0
% 0.21/0.49 # ...aggressively subsumed : 0
% 0.21/0.49 # Contextual simplify-reflections : 0
% 0.21/0.49 # Paramodulations : 0
% 0.21/0.49 # Factorizations : 0
% 0.21/0.49 # NegExts : 0
% 0.21/0.49 # Equation resolutions : 0
% 0.21/0.49 # Disequality decompositions : 0
% 0.21/0.49 # Total rewrite steps : 3
% 0.21/0.49 # ...of those cached : 0
% 0.21/0.49 # Propositional unsat checks : 0
% 0.21/0.49 # Propositional check models : 0
% 0.21/0.49 # Propositional check unsatisfiable : 0
% 0.21/0.49 # Propositional clauses : 0
% 0.21/0.49 # Propositional clauses after purity: 0
% 0.21/0.49 # Propositional unsat core size : 0
% 0.21/0.49 # Propositional preprocessing time : 0.000
% 0.21/0.49 # Propositional encoding time : 0.000
% 0.21/0.49 # Propositional solver time : 0.000
% 0.21/0.49 # Success case prop preproc time : 0.000
% 0.21/0.49 # Success case prop encoding time : 0.000
% 0.21/0.49 # Success case prop solver time : 0.000
% 0.21/0.49 # Current number of processed clauses : 4
% 0.21/0.49 # Positive orientable unit clauses : 2
% 0.21/0.49 # Positive unorientable unit clauses: 1
% 0.21/0.49 # Negative unit clauses : 0
% 0.21/0.49 # Non-unit-clauses : 1
% 0.21/0.49 # Current number of unprocessed clauses: 7
% 0.21/0.49 # ...number of literals in the above : 15
% 0.21/0.49 # Current number of archived formulas : 0
% 0.21/0.49 # Current number of archived clauses : 0
% 0.21/0.49 # Clause-clause subsumption calls (NU) : 1
% 0.21/0.49 # Rec. Clause-clause subsumption calls : 1
% 0.21/0.49 # Non-unit clause-clause subsumptions : 1
% 0.21/0.49 # Unit Clause-clause subsumption calls : 0
% 0.21/0.49 # Rewrite failures with RHS unbound : 0
% 0.21/0.49 # BW rewrite match attempts : 0
% 0.21/0.49 # BW rewrite match successes : 0
% 0.21/0.49 # Condensation attempts : 0
% 0.21/0.49 # Condensation successes : 0
% 0.21/0.49 # Termbank termtop insertions : 1229
% 0.21/0.49 # Search garbage collected termcells : 209
% 0.21/0.49
% 0.21/0.49 # -------------------------------------------------
% 0.21/0.49 # User time : 0.005 s
% 0.21/0.49 # System time : 0.002 s
% 0.21/0.49 # Total time : 0.007 s
% 0.21/0.49 # Maximum resident set size: 1856 pages
% 0.21/0.49
% 0.21/0.49 # -------------------------------------------------
% 0.21/0.49 # User time : 0.007 s
% 0.21/0.49 # System time : 0.004 s
% 0.21/0.49 # Total time : 0.010 s
% 0.21/0.49 # Maximum resident set size: 1724 pages
% 0.21/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------