TSTP Solution File: FLD064-3 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : FLD064-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:30:45 EDT 2023
% Result : Unsatisfiable 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 10 unt; 0 nHn; 22 RR)
% Number of literals : 39 ( 0 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.T4Bv0ha5jG/E---3.1_4223.p',existence_of_inverse_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/tmp/tmp.T4Bv0ha5jG/E---3.1_4223.p',a_is_defined) ).
cnf(commutativity_addition,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.T4Bv0ha5jG/E---3.1_4223.p',commutativity_addition) ).
cnf(existence_of_identity_addition,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.T4Bv0ha5jG/E---3.1_4223.p',existence_of_identity_addition) ).
cnf(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.T4Bv0ha5jG/E---3.1_4223.p',well_definedness_of_additive_inverse) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.T4Bv0ha5jG/E---3.1_4223.p',compatibility_of_order_relation_and_addition) ).
cnf(less_or_equal_2,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox2/tmp/tmp.T4Bv0ha5jG/E---3.1_4223.p',less_or_equal_2) ).
cnf(not_less_or_equal_3,negated_conjecture,
~ less_or_equal(additive_inverse(a),additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.T4Bv0ha5jG/E---3.1_4223.p',not_less_or_equal_3) ).
cnf(c_0_8,axiom,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
existence_of_inverse_addition ).
cnf(c_0_9,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_10,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
commutativity_addition ).
cnf(c_0_11,hypothesis,
sum(additive_inverse(a),a,additive_identity),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,axiom,
( sum(additive_identity,X1,X1)
| ~ defined(X1) ),
existence_of_identity_addition ).
cnf(c_0_13,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
well_definedness_of_additive_inverse ).
cnf(c_0_14,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X4)
| ~ sum(X3,X5,X1)
| ~ sum(X4,X5,X2) ),
compatibility_of_order_relation_and_addition ).
cnf(c_0_15,hypothesis,
sum(a,additive_inverse(a),additive_identity),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_16,plain,
( sum(additive_identity,additive_inverse(X1),additive_inverse(X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
( less_or_equal(X1,additive_identity)
| ~ less_or_equal(X2,a)
| ~ sum(X2,additive_inverse(a),X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,hypothesis,
sum(additive_identity,additive_inverse(a),additive_inverse(a)),
inference(spm,[status(thm)],[c_0_16,c_0_9]) ).
cnf(c_0_19,negated_conjecture,
less_or_equal(additive_identity,a),
less_or_equal_2 ).
cnf(c_0_20,negated_conjecture,
~ less_or_equal(additive_inverse(a),additive_identity),
not_less_or_equal_3 ).
cnf(c_0_21,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : FLD064-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Oct 2 23:36:06 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.46 Running first-order model finding
% 0.19/0.46 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.T4Bv0ha5jG/E---3.1_4223.p
% 0.19/0.48 # Version: 3.1pre001
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.48 # Starting sh5l with 300s (1) cores
% 0.19/0.48 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4302 completed with status 0
% 0.19/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # No SInE strategy applied
% 0.19/0.48 # Search class: FGUNF-FFMS21-SFFFFFNN
% 0.19/0.48 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.19/0.48 # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.48 # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.19/0.48 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 136s (1) cores
% 0.19/0.48 # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with pid 4307 completed with status 0
% 0.19/0.48 # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN
% 0.19/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.48 # No SInE strategy applied
% 0.19/0.48 # Search class: FGUNF-FFMS21-SFFFFFNN
% 0.19/0.48 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.48 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 0.19/0.48 # Preprocessing time : 0.001 s
% 0.19/0.48 # Presaturation interreduction done
% 0.19/0.48
% 0.19/0.48 # Proof found!
% 0.19/0.48 # SZS status Unsatisfiable
% 0.19/0.48 # SZS output start CNFRefutation
% See solution above
% 0.19/0.48 # Parsed axioms : 29
% 0.19/0.48 # Removed by relevancy pruning/SinE : 0
% 0.19/0.48 # Initial clauses : 29
% 0.19/0.48 # Removed in clause preprocessing : 0
% 0.19/0.48 # Initial clauses in saturation : 29
% 0.19/0.48 # Processed clauses : 88
% 0.19/0.48 # ...of these trivial : 0
% 0.19/0.48 # ...subsumed : 2
% 0.19/0.48 # ...remaining for further processing : 86
% 0.19/0.48 # Other redundant clauses eliminated : 0
% 0.19/0.48 # Clauses deleted for lack of memory : 0
% 0.19/0.48 # Backward-subsumed : 0
% 0.19/0.48 # Backward-rewritten : 0
% 0.19/0.48 # Generated clauses : 160
% 0.19/0.48 # ...of the previous two non-redundant : 139
% 0.19/0.48 # ...aggressively subsumed : 0
% 0.19/0.48 # Contextual simplify-reflections : 0
% 0.19/0.48 # Paramodulations : 158
% 0.19/0.48 # Factorizations : 2
% 0.19/0.48 # NegExts : 0
% 0.19/0.48 # Equation resolutions : 0
% 0.19/0.48 # Total rewrite steps : 22
% 0.19/0.48 # Propositional unsat checks : 0
% 0.19/0.48 # Propositional check models : 0
% 0.19/0.48 # Propositional check unsatisfiable : 0
% 0.19/0.48 # Propositional clauses : 0
% 0.19/0.48 # Propositional clauses after purity: 0
% 0.19/0.48 # Propositional unsat core size : 0
% 0.19/0.48 # Propositional preprocessing time : 0.000
% 0.19/0.48 # Propositional encoding time : 0.000
% 0.19/0.48 # Propositional solver time : 0.000
% 0.19/0.48 # Success case prop preproc time : 0.000
% 0.19/0.48 # Success case prop encoding time : 0.000
% 0.19/0.48 # Success case prop solver time : 0.000
% 0.19/0.48 # Current number of processed clauses : 57
% 0.19/0.48 # Positive orientable unit clauses : 23
% 0.19/0.48 # Positive unorientable unit clauses: 0
% 0.19/0.48 # Negative unit clauses : 2
% 0.19/0.48 # Non-unit-clauses : 32
% 0.19/0.48 # Current number of unprocessed clauses: 109
% 0.19/0.48 # ...number of literals in the above : 326
% 0.19/0.48 # Current number of archived formulas : 0
% 0.19/0.48 # Current number of archived clauses : 29
% 0.19/0.48 # Clause-clause subsumption calls (NU) : 114
% 0.19/0.48 # Rec. Clause-clause subsumption calls : 111
% 0.19/0.48 # Non-unit clause-clause subsumptions : 2
% 0.19/0.48 # Unit Clause-clause subsumption calls : 18
% 0.19/0.48 # Rewrite failures with RHS unbound : 0
% 0.19/0.48 # BW rewrite match attempts : 1
% 0.19/0.48 # BW rewrite match successes : 0
% 0.19/0.48 # Condensation attempts : 0
% 0.19/0.48 # Condensation successes : 0
% 0.19/0.48 # Termbank termtop insertions : 2707
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.005 s
% 0.19/0.48 # System time : 0.001 s
% 0.19/0.48 # Total time : 0.006 s
% 0.19/0.48 # Maximum resident set size: 1652 pages
% 0.19/0.48
% 0.19/0.48 # -------------------------------------------------
% 0.19/0.48 # User time : 0.026 s
% 0.19/0.48 # System time : 0.003 s
% 0.19/0.48 # Total time : 0.030 s
% 0.19/0.48 # Maximum resident set size: 1696 pages
% 0.19/0.48 % E---3.1 exiting
%------------------------------------------------------------------------------