TSTP Solution File: FLD007-3 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : FLD007-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n019.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 17:29:53 EDT 2023
% Result : Unsatisfiable 0.17s 0.44s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 8 unt; 3 nHn; 24 RR)
% Number of literals : 52 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 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 : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(totality_of_order_relation,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.nYc3bI4zCK/E---3.1_21484.p',totality_of_order_relation) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox2/tmp/tmp.nYc3bI4zCK/E---3.1_21484.p',a_is_defined) ).
cnf(antisymmetry_of_order_relation,axiom,
( sum(additive_identity,X1,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.nYc3bI4zCK/E---3.1_21484.p',antisymmetry_of_order_relation) ).
cnf(associativity_addition_1,axiom,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.nYc3bI4zCK/E---3.1_21484.p',associativity_addition_1) ).
cnf(existence_of_inverse_addition,axiom,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.nYc3bI4zCK/E---3.1_21484.p',existence_of_inverse_addition) ).
cnf(commutativity_addition,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.nYc3bI4zCK/E---3.1_21484.p',commutativity_addition) ).
cnf(not_sum_2,negated_conjecture,
~ sum(additive_identity,additive_inverse(additive_inverse(a)),a),
file('/export/starexec/sandbox2/tmp/tmp.nYc3bI4zCK/E---3.1_21484.p',not_sum_2) ).
cnf(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
file('/export/starexec/sandbox2/tmp/tmp.nYc3bI4zCK/E---3.1_21484.p',well_definedness_of_additive_inverse) ).
cnf(c_0_8,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
totality_of_order_relation ).
cnf(c_0_9,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_10,hypothesis,
( less_or_equal(X1,a)
| less_or_equal(a,X1)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,axiom,
( sum(additive_identity,X1,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X2,X1) ),
antisymmetry_of_order_relation ).
cnf(c_0_12,hypothesis,
less_or_equal(a,a),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_13,axiom,
( sum(X1,X2,X3)
| ~ sum(X1,X4,X5)
| ~ sum(X4,X6,X2)
| ~ sum(X5,X6,X3) ),
associativity_addition_1 ).
cnf(c_0_14,hypothesis,
sum(additive_identity,a,a),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_12])]) ).
cnf(c_0_15,hypothesis,
( sum(X1,X2,a)
| ~ sum(X3,a,X2)
| ~ sum(X1,X3,additive_identity) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,axiom,
( sum(additive_inverse(X1),X1,additive_identity)
| ~ defined(X1) ),
existence_of_inverse_addition ).
cnf(c_0_17,hypothesis,
( sum(X1,additive_identity,a)
| ~ sum(X1,additive_inverse(a),additive_identity) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_9])]) ).
cnf(c_0_18,axiom,
( sum(X1,X2,X3)
| ~ sum(X2,X1,X3) ),
commutativity_addition ).
cnf(c_0_19,hypothesis,
( sum(additive_inverse(additive_inverse(a)),additive_identity,a)
| ~ defined(additive_inverse(a)) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
~ sum(additive_identity,additive_inverse(additive_inverse(a)),a),
not_sum_2 ).
cnf(c_0_21,hypothesis,
~ defined(additive_inverse(a)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).
cnf(c_0_22,axiom,
( defined(additive_inverse(X1))
| ~ defined(X1) ),
well_definedness_of_additive_inverse ).
cnf(c_0_23,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : FLD007-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.03/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 23:11:06 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.17/0.42 Running first-order theorem proving
% 0.17/0.42 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.nYc3bI4zCK/E---3.1_21484.p
% 0.17/0.44 # Version: 3.1pre001
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.44 # Starting sh5l with 300s (1) cores
% 0.17/0.44 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21562 completed with status 0
% 0.17/0.44 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # No SInE strategy applied
% 0.17/0.44 # Search class: FGUNF-FFMS21-SFFFFFNN
% 0.17/0.44 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.44 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.44 # Starting U----_206e_02_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.44 # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.17/0.44 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S0S with 136s (1) cores
% 0.17/0.44 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 21570 completed with status 0
% 0.17/0.44 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.17/0.44 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.44 # No SInE strategy applied
% 0.17/0.44 # Search class: FGUNF-FFMS21-SFFFFFNN
% 0.17/0.44 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.17/0.44 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_S04BN with 675s (1) cores
% 0.17/0.44 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.17/0.44 # Preprocessing time : 0.001 s
% 0.17/0.44 # Presaturation interreduction done
% 0.17/0.44
% 0.17/0.44 # Proof found!
% 0.17/0.44 # SZS status Unsatisfiable
% 0.17/0.44 # SZS output start CNFRefutation
% See solution above
% 0.17/0.44 # Parsed axioms : 28
% 0.17/0.44 # Removed by relevancy pruning/SinE : 0
% 0.17/0.44 # Initial clauses : 28
% 0.17/0.44 # Removed in clause preprocessing : 0
% 0.17/0.44 # Initial clauses in saturation : 28
% 0.17/0.44 # Processed clauses : 104
% 0.17/0.44 # ...of these trivial : 0
% 0.17/0.44 # ...subsumed : 7
% 0.17/0.44 # ...remaining for further processing : 97
% 0.17/0.44 # Other redundant clauses eliminated : 0
% 0.17/0.44 # Clauses deleted for lack of memory : 0
% 0.17/0.44 # Backward-subsumed : 1
% 0.17/0.44 # Backward-rewritten : 0
% 0.17/0.44 # Generated clauses : 206
% 0.17/0.44 # ...of the previous two non-redundant : 179
% 0.17/0.44 # ...aggressively subsumed : 0
% 0.17/0.44 # Contextual simplify-reflections : 0
% 0.17/0.44 # Paramodulations : 206
% 0.17/0.44 # Factorizations : 0
% 0.17/0.44 # NegExts : 0
% 0.17/0.44 # Equation resolutions : 0
% 0.17/0.44 # Total rewrite steps : 39
% 0.17/0.44 # Propositional unsat checks : 0
% 0.17/0.44 # Propositional check models : 0
% 0.17/0.44 # Propositional check unsatisfiable : 0
% 0.17/0.44 # Propositional clauses : 0
% 0.17/0.44 # Propositional clauses after purity: 0
% 0.17/0.44 # Propositional unsat core size : 0
% 0.17/0.44 # Propositional preprocessing time : 0.000
% 0.17/0.44 # Propositional encoding time : 0.000
% 0.17/0.44 # Propositional solver time : 0.000
% 0.17/0.44 # Success case prop preproc time : 0.000
% 0.17/0.44 # Success case prop encoding time : 0.000
% 0.17/0.44 # Success case prop solver time : 0.000
% 0.17/0.44 # Current number of processed clauses : 68
% 0.17/0.44 # Positive orientable unit clauses : 11
% 0.17/0.44 # Positive unorientable unit clauses: 0
% 0.17/0.44 # Negative unit clauses : 3
% 0.17/0.44 # Non-unit-clauses : 54
% 0.17/0.44 # Current number of unprocessed clauses: 131
% 0.17/0.44 # ...number of literals in the above : 485
% 0.17/0.44 # Current number of archived formulas : 0
% 0.17/0.44 # Current number of archived clauses : 29
% 0.17/0.44 # Clause-clause subsumption calls (NU) : 266
% 0.17/0.44 # Rec. Clause-clause subsumption calls : 242
% 0.17/0.44 # Non-unit clause-clause subsumptions : 7
% 0.17/0.44 # Unit Clause-clause subsumption calls : 74
% 0.17/0.44 # Rewrite failures with RHS unbound : 0
% 0.17/0.44 # BW rewrite match attempts : 2
% 0.17/0.44 # BW rewrite match successes : 0
% 0.17/0.44 # Condensation attempts : 0
% 0.17/0.44 # Condensation successes : 0
% 0.17/0.44 # Termbank termtop insertions : 3515
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.006 s
% 0.17/0.44 # System time : 0.003 s
% 0.17/0.44 # Total time : 0.009 s
% 0.17/0.44 # Maximum resident set size: 1656 pages
% 0.17/0.44
% 0.17/0.44 # -------------------------------------------------
% 0.17/0.44 # User time : 0.036 s
% 0.17/0.44 # System time : 0.007 s
% 0.17/0.44 # Total time : 0.043 s
% 0.17/0.44 # Maximum resident set size: 1700 pages
% 0.17/0.44 % E---3.1 exiting
% 0.17/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------