TSTP Solution File: FLD059-2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : FLD059-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 17:30:43 EDT 2023
% Result : Unsatisfiable 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 33 ( 15 unt; 2 nHn; 33 RR)
% Number of literals : 62 ( 0 equ; 29 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(symmetry_of_equality,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p',symmetry_of_equality) ).
cnf(add_equals_u_4,negated_conjecture,
equalish(add(a,a),u),
file('/export/starexec/sandbox/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p',add_equals_u_4) ).
cnf(compatibility_of_equality_and_order_relation,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X2)
| ~ equalish(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p',compatibility_of_equality_and_order_relation) ).
cnf(totality_of_order_relation,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
file('/export/starexec/sandbox/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p',totality_of_order_relation) ).
cnf(u_is_defined,hypothesis,
defined(u),
file('/export/starexec/sandbox/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p',u_is_defined) ).
cnf(transitivity_of_order_relation,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X1,X3)
| ~ less_or_equal(X3,X2) ),
file('/export/starexec/sandbox/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p',transitivity_of_order_relation) ).
cnf(compatibility_of_order_relation_and_addition,axiom,
( less_or_equal(add(X1,X2),add(X3,X2))
| ~ defined(X2)
| ~ less_or_equal(X1,X3) ),
file('/export/starexec/sandbox/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p',compatibility_of_order_relation_and_addition) ).
cnf(less_or_equal_3,negated_conjecture,
less_or_equal(additive_identity,a),
file('/export/starexec/sandbox/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p',less_or_equal_3) ).
cnf(existence_of_identity_addition,axiom,
( equalish(add(additive_identity,X1),X1)
| ~ defined(X1) ),
file('/export/starexec/sandbox/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p',existence_of_identity_addition) ).
cnf(a_is_defined,hypothesis,
defined(a),
file('/export/starexec/sandbox/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p',a_is_defined) ).
cnf(not_less_or_equal_5,negated_conjecture,
~ less_or_equal(additive_identity,u),
file('/export/starexec/sandbox/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p',not_less_or_equal_5) ).
cnf(c_0_11,axiom,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
symmetry_of_equality ).
cnf(c_0_12,negated_conjecture,
equalish(add(a,a),u),
add_equals_u_4 ).
cnf(c_0_13,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X3,X2)
| ~ equalish(X3,X1) ),
compatibility_of_equality_and_order_relation ).
cnf(c_0_14,negated_conjecture,
equalish(u,add(a,a)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
( less_or_equal(X1,X2)
| less_or_equal(X2,X1)
| ~ defined(X1)
| ~ defined(X2) ),
totality_of_order_relation ).
cnf(c_0_16,negated_conjecture,
( less_or_equal(add(a,a),X1)
| ~ less_or_equal(u,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( less_or_equal(X1,X1)
| ~ defined(X1) ),
inference(ef,[status(thm)],[c_0_15]) ).
cnf(c_0_18,hypothesis,
defined(u),
u_is_defined ).
cnf(c_0_19,axiom,
( less_or_equal(X1,X2)
| ~ less_or_equal(X1,X3)
| ~ less_or_equal(X3,X2) ),
transitivity_of_order_relation ).
cnf(c_0_20,negated_conjecture,
less_or_equal(add(a,a),u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18])]) ).
cnf(c_0_21,axiom,
( less_or_equal(add(X1,X2),add(X3,X2))
| ~ defined(X2)
| ~ less_or_equal(X1,X3) ),
compatibility_of_order_relation_and_addition ).
cnf(c_0_22,negated_conjecture,
less_or_equal(additive_identity,a),
less_or_equal_3 ).
cnf(c_0_23,axiom,
( equalish(add(additive_identity,X1),X1)
| ~ defined(X1) ),
existence_of_identity_addition ).
cnf(c_0_24,negated_conjecture,
( less_or_equal(X1,u)
| ~ less_or_equal(X1,add(a,a)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,negated_conjecture,
( less_or_equal(add(additive_identity,X1),add(a,X1))
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,hypothesis,
defined(a),
a_is_defined ).
cnf(c_0_27,plain,
( less_or_equal(X1,X2)
| ~ less_or_equal(add(additive_identity,X1),X2)
| ~ defined(X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
less_or_equal(add(additive_identity,a),u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]) ).
cnf(c_0_29,negated_conjecture,
less_or_equal(a,u),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_26])]) ).
cnf(c_0_30,negated_conjecture,
( less_or_equal(X1,u)
| ~ less_or_equal(X1,a) ),
inference(spm,[status(thm)],[c_0_19,c_0_29]) ).
cnf(c_0_31,negated_conjecture,
~ less_or_equal(additive_identity,u),
not_less_or_equal_5 ).
cnf(c_0_32,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_22]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : FLD059-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.11/0.32 % Computer : n014.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 22:57:49 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.43 Running first-order model finding
% 0.17/0.43 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/tmp/tmp.VpS3CYX4s3/E---3.1_7769.p
% 0.17/0.46 # Version: 3.1pre001
% 0.17/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # Starting sh5l with 300s (1) cores
% 0.17/0.46 # sh5l with pid 7849 completed with status 0
% 0.17/0.46 # Result found by sh5l
% 0.17/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # Starting sh5l with 300s (1) cores
% 0.17/0.46 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.46 # Search class: FGUNF-FFMM21-SFFFFFNN
% 0.17/0.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.17/0.46 # G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with pid 7856 completed with status 0
% 0.17/0.46 # Result found by G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S
% 0.17/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.17/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.17/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.17/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.17/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.17/0.46 # Starting sh5l with 300s (1) cores
% 0.17/0.46 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.17/0.46 # Search class: FGUNF-FFMM21-SFFFFFNN
% 0.17/0.46 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.17/0.46 # Starting G-E--_006_C18_F1_PI_AE_Q4_CS_SP_S2S with 118s (1) cores
% 0.17/0.46 # Preprocessing time : 0.001 s
% 0.17/0.46
% 0.17/0.46 # Proof found!
% 0.17/0.46 # SZS status Unsatisfiable
% 0.17/0.46 # SZS output start CNFRefutation
% See solution above
% 0.17/0.46 # Parsed axioms : 32
% 0.17/0.46 # Removed by relevancy pruning/SinE : 0
% 0.17/0.46 # Initial clauses : 32
% 0.17/0.46 # Removed in clause preprocessing : 0
% 0.17/0.46 # Initial clauses in saturation : 32
% 0.17/0.46 # Processed clauses : 290
% 0.17/0.46 # ...of these trivial : 56
% 0.17/0.46 # ...subsumed : 14
% 0.17/0.46 # ...remaining for further processing : 220
% 0.17/0.46 # Other redundant clauses eliminated : 0
% 0.17/0.46 # Clauses deleted for lack of memory : 0
% 0.17/0.46 # Backward-subsumed : 0
% 0.17/0.46 # Backward-rewritten : 6
% 0.17/0.46 # Generated clauses : 1323
% 0.17/0.46 # ...of the previous two non-redundant : 937
% 0.17/0.46 # ...aggressively subsumed : 0
% 0.17/0.46 # Contextual simplify-reflections : 0
% 0.17/0.46 # Paramodulations : 1321
% 0.17/0.46 # Factorizations : 2
% 0.17/0.46 # NegExts : 0
% 0.17/0.46 # Equation resolutions : 0
% 0.17/0.46 # Total rewrite steps : 789
% 0.17/0.46 # Propositional unsat checks : 0
% 0.17/0.46 # Propositional check models : 0
% 0.17/0.46 # Propositional check unsatisfiable : 0
% 0.17/0.46 # Propositional clauses : 0
% 0.17/0.46 # Propositional clauses after purity: 0
% 0.17/0.46 # Propositional unsat core size : 0
% 0.17/0.46 # Propositional preprocessing time : 0.000
% 0.17/0.46 # Propositional encoding time : 0.000
% 0.17/0.46 # Propositional solver time : 0.000
% 0.17/0.46 # Success case prop preproc time : 0.000
% 0.17/0.46 # Success case prop encoding time : 0.000
% 0.17/0.46 # Success case prop solver time : 0.000
% 0.17/0.46 # Current number of processed clauses : 214
% 0.17/0.46 # Positive orientable unit clauses : 75
% 0.17/0.46 # Positive unorientable unit clauses: 0
% 0.17/0.46 # Negative unit clauses : 2
% 0.17/0.46 # Non-unit-clauses : 137
% 0.17/0.46 # Current number of unprocessed clauses: 678
% 0.17/0.46 # ...number of literals in the above : 1701
% 0.17/0.46 # Current number of archived formulas : 0
% 0.17/0.46 # Current number of archived clauses : 6
% 0.17/0.46 # Clause-clause subsumption calls (NU) : 1553
% 0.17/0.46 # Rec. Clause-clause subsumption calls : 1181
% 0.17/0.46 # Non-unit clause-clause subsumptions : 14
% 0.17/0.46 # Unit Clause-clause subsumption calls : 86
% 0.17/0.46 # Rewrite failures with RHS unbound : 0
% 0.17/0.46 # BW rewrite match attempts : 10
% 0.17/0.46 # BW rewrite match successes : 6
% 0.17/0.46 # Condensation attempts : 0
% 0.17/0.46 # Condensation successes : 0
% 0.17/0.46 # Termbank termtop insertions : 16663
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.018 s
% 0.17/0.46 # System time : 0.002 s
% 0.17/0.46 # Total time : 0.020 s
% 0.17/0.46 # Maximum resident set size: 1748 pages
% 0.17/0.46
% 0.17/0.46 # -------------------------------------------------
% 0.17/0.46 # User time : 0.018 s
% 0.17/0.46 # System time : 0.005 s
% 0.17/0.46 # Total time : 0.023 s
% 0.17/0.46 # Maximum resident set size: 1692 pages
% 0.17/0.46 % E---3.1 exiting
%------------------------------------------------------------------------------