TSTP Solution File: NUM024-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : NUM024-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:45:48 EDT 2023
% Result : Unsatisfiable 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 12 unt; 0 nHn; 17 RR)
% Number of literals : 36 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 37 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(transitivity,axiom,
( equalish(X1,X3)
| ~ equalish(X1,X2)
| ~ equalish(X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.8EXbTgkiaf/E---3.1_16188.p',transitivity) ).
cnf(adding_zero,axiom,
equalish(add(X1,n0),X1),
file('/export/starexec/sandbox2/tmp/tmp.8EXbTgkiaf/E---3.1_16188.p',adding_zero) ).
cnf(commutativity_of_plus,axiom,
equalish(add(X1,X2),add(X2,X1)),
file('/export/starexec/sandbox2/tmp/tmp.8EXbTgkiaf/E---3.1_16188.p',commutativity_of_plus) ).
cnf(symmetry,axiom,
( equalish(X2,X1)
| ~ equalish(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8EXbTgkiaf/E---3.1_16188.p',symmetry) ).
cnf(plus_substitution,axiom,
( equalish(X1,X3)
| ~ equalish(add(X1,X2),add(X3,X2)) ),
file('/export/starexec/sandbox2/tmp/tmp.8EXbTgkiaf/E---3.1_16188.p',plus_substitution) ).
cnf(less_lemma,axiom,
( equalish(add(successor(predecessor_of_1st_minus_2nd(X2,X1)),X1),X2)
| ~ less(X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.8EXbTgkiaf/E---3.1_16188.p',less_lemma) ).
cnf(prove_a_contradiction,negated_conjecture,
~ equalish(successor(X1),n0),
file('/export/starexec/sandbox2/tmp/tmp.8EXbTgkiaf/E---3.1_16188.p',prove_a_contradiction) ).
cnf(impossible_a_is_less_than_itself,hypothesis,
less(a,a),
file('/export/starexec/sandbox2/tmp/tmp.8EXbTgkiaf/E---3.1_16188.p',impossible_a_is_less_than_itself) ).
cnf(c_0_8,axiom,
( equalish(X1,X3)
| ~ equalish(X1,X2)
| ~ equalish(X2,X3) ),
transitivity ).
cnf(c_0_9,axiom,
equalish(add(X1,n0),X1),
adding_zero ).
cnf(c_0_10,plain,
( equalish(X1,X2)
| ~ equalish(X1,add(X2,n0)) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
equalish(add(X1,X2),add(X2,X1)),
commutativity_of_plus ).
cnf(c_0_12,axiom,
( equalish(X2,X1)
| ~ equalish(X1,X2) ),
symmetry ).
cnf(c_0_13,plain,
equalish(add(n0,X1),X1),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,plain,
equalish(X1,add(n0,X1)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,axiom,
( equalish(X1,X3)
| ~ equalish(add(X1,X2),add(X3,X2)) ),
plus_substitution ).
cnf(c_0_16,plain,
( equalish(X1,add(n0,X2))
| ~ equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_17,plain,
( equalish(X1,n0)
| ~ equalish(add(X1,X2),X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
( equalish(add(successor(predecessor_of_1st_minus_2nd(X2,X1)),X1),X2)
| ~ less(X1,X2) ),
less_lemma ).
cnf(c_0_19,negated_conjecture,
~ equalish(successor(X1),n0),
prove_a_contradiction ).
cnf(c_0_20,hypothesis,
less(a,a),
impossible_a_is_less_than_itself ).
cnf(c_0_21,plain,
~ less(X1,X1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_22,hypothesis,
$false,
inference(sr,[status(thm)],[c_0_20,c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM024-1 : TPTP v8.1.2. Bugfixed v4.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 2400
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Oct 2 13:54:59 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.43 Running first-order theorem proving
% 0.16/0.43 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.8EXbTgkiaf/E---3.1_16188.p
% 0.16/0.45 # Version: 3.1pre001
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 16269 completed with status 0
% 0.16/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # No SInE strategy applied
% 0.16/0.45 # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45 # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.45 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.45 # Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.16/0.45 # C12_02_nc_SAT001_MinMin_p005000_rr with pid 16280 completed with status 0
% 0.16/0.45 # Result found by C12_02_nc_SAT001_MinMin_p005000_rr
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # No SInE strategy applied
% 0.16/0.45 # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45 # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 811s (1) cores
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.45 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.45 # Starting C12_02_nc_SAT001_MinMin_p005000_rr with 136s (1) cores
% 0.16/0.45 # Preprocessing time : 0.001 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Unsatisfiable
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 16
% 0.16/0.45 # Removed by relevancy pruning/SinE : 0
% 0.16/0.45 # Initial clauses : 16
% 0.16/0.45 # Removed in clause preprocessing : 0
% 0.16/0.45 # Initial clauses in saturation : 16
% 0.16/0.45 # Processed clauses : 152
% 0.16/0.45 # ...of these trivial : 20
% 0.16/0.45 # ...subsumed : 9
% 0.16/0.45 # ...remaining for further processing : 123
% 0.16/0.45 # Other redundant clauses eliminated : 0
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 0
% 0.16/0.45 # Backward-rewritten : 0
% 0.16/0.45 # Generated clauses : 710
% 0.16/0.45 # ...of the previous two non-redundant : 544
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 0
% 0.16/0.45 # Paramodulations : 709
% 0.16/0.45 # Factorizations : 0
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 0
% 0.16/0.45 # Total rewrite steps : 182
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 106
% 0.16/0.45 # Positive orientable unit clauses : 50
% 0.16/0.45 # Positive unorientable unit clauses: 0
% 0.16/0.45 # Negative unit clauses : 7
% 0.16/0.45 # Non-unit-clauses : 49
% 0.16/0.45 # Current number of unprocessed clauses: 424
% 0.16/0.45 # ...number of literals in the above : 725
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 17
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 249
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 248
% 0.16/0.45 # Non-unit clause-clause subsumptions : 9
% 0.16/0.45 # Unit Clause-clause subsumption calls : 19
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 85
% 0.16/0.45 # BW rewrite match successes : 0
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 8977
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.009 s
% 0.16/0.45 # System time : 0.001 s
% 0.16/0.45 # Total time : 0.010 s
% 0.16/0.45 # Maximum resident set size: 1652 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.045 s
% 0.16/0.45 # System time : 0.005 s
% 0.16/0.45 # Total time : 0.051 s
% 0.16/0.45 # Maximum resident set size: 1684 pages
% 0.16/0.45 % E---3.1 exiting
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------