TSTP Solution File: ANA018-2 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : ANA018-2 : TPTP v8.1.2. Released v3.2.0.
% 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 17:16:01 EDT 2023
% Result : Unsatisfiable 0.16s 0.43s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 13
% Syntax : Number of clauses : 36 ( 13 unt; 0 nHn; 30 RR)
% Number of literals : 73 ( 2 equ; 43 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 47 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_less(X2,X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',cls_Orderings_Oorder__less__imp__le_0) ).
cnf(cls_conjecture_2,negated_conjecture,
c_less(c_0,v_ca,t_b),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',cls_conjecture_2) ).
cnf(clsrel_LOrder_Ojoin__semilorder_1,axiom,
( class_Orderings_Oorder(X1)
| ~ class_LOrder_Ojoin__semilorder(X1) ),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',clsrel_LOrder_Ojoin__semilorder_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_35,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',clsrel_Ring__and__Field_Oordered__idom_35) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( c_lessequals(X4,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X4,X2,X1) ),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_x(X1),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',cls_conjecture_3) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',tfree_tcs) ).
cnf(cls_conjecture_4,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',cls_conjecture_4) ).
cnf(cls_OrderedGroup_Omult__ac__1_0,axiom,
( c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1)
| ~ class_OrderedGroup_Osemigroup__mult(X1) ),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',cls_OrderedGroup_Omult__ac__1_0) ).
cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0,axiom,
( c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1) ),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_f(X1),t_b),c_times(v_c,c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',cls_conjecture_1) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_21,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p',clsrel_Ring__and__Field_Oordered__idom_21) ).
cnf(c_0_13,axiom,
( c_lessequals(X2,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_less(X2,X3,X1) ),
cls_Orderings_Oorder__less__imp__le_0 ).
cnf(c_0_14,negated_conjecture,
c_less(c_0,v_ca,t_b),
cls_conjecture_2 ).
cnf(c_0_15,axiom,
( class_Orderings_Oorder(X1)
| ~ class_LOrder_Ojoin__semilorder(X1) ),
clsrel_LOrder_Ojoin__semilorder_1 ).
cnf(c_0_16,axiom,
( class_LOrder_Ojoin__semilorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_35 ).
cnf(c_0_17,axiom,
( c_lessequals(X4,X3,X1)
| ~ class_Orderings_Oorder(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(X4,X2,X1) ),
cls_Orderings_Oorder__class_Oorder__trans_0 ).
cnf(c_0_18,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_x(X1),t_b),c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),t_b),
cls_conjecture_3 ).
cnf(c_0_19,negated_conjecture,
( c_lessequals(c_0,v_ca,t_b)
| ~ class_Orderings_Oorder(t_b) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( class_Orderings_Oorder(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
tfree_tcs ).
cnf(c_0_22,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(c_times(v_ca,v_c,t_b),c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),
cls_conjecture_4 ).
cnf(c_0_23,axiom,
( c_times(c_times(X2,X3,X1),X4,X1) = c_times(X2,c_times(X3,X4,X1),X1)
| ~ class_OrderedGroup_Osemigroup__mult(X1) ),
cls_OrderedGroup_Omult__ac__1_0 ).
cnf(c_0_24,negated_conjecture,
( c_lessequals(c_HOL_Oabs(v_x(X1),t_b),X2,t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_times(v_ca,c_HOL_Oabs(v_f(X1),t_b),t_b),X2,t_b) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_25,axiom,
( c_lessequals(c_times(X4,X2,X1),c_times(X4,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__semiring(X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_0,X4,X1) ),
cls_Ring__and__Field_Opordered__semiring__class_Omult__left__mono_0 ).
cnf(c_0_26,negated_conjecture,
c_lessequals(c_0,v_ca,t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]) ).
cnf(c_0_27,negated_conjecture,
( ~ class_OrderedGroup_Osemigroup__mult(t_b)
| ~ c_lessequals(c_HOL_Oabs(v_x(v_xa),t_b),c_times(v_ca,c_times(v_c,c_HOL_Oabs(v_g(v_xa),t_b),t_b),t_b),t_b) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( c_lessequals(c_HOL_Oabs(v_x(X1),t_b),c_times(v_ca,X2,t_b),t_b)
| ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ c_lessequals(c_HOL_Oabs(v_f(X1),t_b),X2,t_b) ),
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,
c_lessequals(c_HOL_Oabs(v_f(X1),t_b),c_times(v_c,c_HOL_Oabs(v_g(X1),t_b),t_b),t_b),
cls_conjecture_1 ).
cnf(c_0_30,negated_conjecture,
( ~ class_Ring__and__Field_Opordered__semiring(t_b)
| ~ class_Orderings_Oorder(t_b)
| ~ class_OrderedGroup_Osemigroup__mult(t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]) ).
cnf(c_0_31,axiom,
( class_Ring__and__Field_Opordered__semiring(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_42 ).
cnf(c_0_32,negated_conjecture,
( ~ class_Orderings_Oorder(t_b)
| ~ class_OrderedGroup_Osemigroup__mult(t_b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_21])]) ).
cnf(c_0_33,axiom,
( class_OrderedGroup_Osemigroup__mult(X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
clsrel_Ring__and__Field_Oordered__idom_21 ).
cnf(c_0_34,negated_conjecture,
~ class_Orderings_Oorder(t_b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_21])]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : ANA018-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.11 % 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 15:06:21 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.EkSADmija5/E---3.1_9419.p
% 0.16/0.43 # Version: 3.1pre001
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43 # Starting sh5l with 300s (1) cores
% 0.16/0.43 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 9497 completed with status 0
% 0.16/0.43 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # No SInE strategy applied
% 0.16/0.43 # Search class: FHUSS-FFSF31-MFFFFFNN
% 0.16/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.43 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.43 # Starting sh5l with 136s (1) cores
% 0.16/0.43 # SAT001_MinMin_p005000_rr_RG with pid 9501 completed with status 0
% 0.16/0.43 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.16/0.43 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.43 # No SInE strategy applied
% 0.16/0.43 # Search class: FHUSS-FFSF31-MFFFFFNN
% 0.16/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.43 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.16/0.43 # Preprocessing time : 0.001 s
% 0.16/0.43 # Presaturation interreduction done
% 0.16/0.43
% 0.16/0.43 # Proof found!
% 0.16/0.43 # SZS status Unsatisfiable
% 0.16/0.43 # SZS output start CNFRefutation
% See solution above
% 0.16/0.43 # Parsed axioms : 13
% 0.16/0.43 # Removed by relevancy pruning/SinE : 0
% 0.16/0.43 # Initial clauses : 13
% 0.16/0.43 # Removed in clause preprocessing : 0
% 0.16/0.43 # Initial clauses in saturation : 13
% 0.16/0.43 # Processed clauses : 42
% 0.16/0.43 # ...of these trivial : 0
% 0.16/0.43 # ...subsumed : 0
% 0.16/0.43 # ...remaining for further processing : 42
% 0.16/0.43 # Other redundant clauses eliminated : 0
% 0.16/0.43 # Clauses deleted for lack of memory : 0
% 0.16/0.43 # Backward-subsumed : 8
% 0.16/0.43 # Backward-rewritten : 1
% 0.16/0.43 # Generated clauses : 30
% 0.16/0.43 # ...of the previous two non-redundant : 29
% 0.16/0.43 # ...aggressively subsumed : 0
% 0.16/0.43 # Contextual simplify-reflections : 0
% 0.16/0.43 # Paramodulations : 30
% 0.16/0.43 # Factorizations : 0
% 0.16/0.43 # NegExts : 0
% 0.16/0.43 # Equation resolutions : 0
% 0.16/0.43 # Total rewrite steps : 9
% 0.16/0.43 # Propositional unsat checks : 0
% 0.16/0.43 # Propositional check models : 0
% 0.16/0.43 # Propositional check unsatisfiable : 0
% 0.16/0.43 # Propositional clauses : 0
% 0.16/0.43 # Propositional clauses after purity: 0
% 0.16/0.43 # Propositional unsat core size : 0
% 0.16/0.43 # Propositional preprocessing time : 0.000
% 0.16/0.43 # Propositional encoding time : 0.000
% 0.16/0.43 # Propositional solver time : 0.000
% 0.16/0.43 # Success case prop preproc time : 0.000
% 0.16/0.43 # Success case prop encoding time : 0.000
% 0.16/0.43 # Success case prop solver time : 0.000
% 0.16/0.43 # Current number of processed clauses : 20
% 0.16/0.43 # Positive orientable unit clauses : 5
% 0.16/0.43 # Positive unorientable unit clauses: 0
% 0.16/0.43 # Negative unit clauses : 2
% 0.16/0.43 # Non-unit-clauses : 13
% 0.16/0.43 # Current number of unprocessed clauses: 13
% 0.16/0.43 # ...number of literals in the above : 49
% 0.16/0.43 # Current number of archived formulas : 0
% 0.16/0.43 # Current number of archived clauses : 22
% 0.16/0.43 # Clause-clause subsumption calls (NU) : 129
% 0.16/0.43 # Rec. Clause-clause subsumption calls : 97
% 0.16/0.43 # Non-unit clause-clause subsumptions : 3
% 0.16/0.43 # Unit Clause-clause subsumption calls : 5
% 0.16/0.43 # Rewrite failures with RHS unbound : 0
% 0.16/0.43 # BW rewrite match attempts : 1
% 0.16/0.43 # BW rewrite match successes : 1
% 0.16/0.43 # Condensation attempts : 0
% 0.16/0.43 # Condensation successes : 0
% 0.16/0.43 # Termbank termtop insertions : 1031
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.001 s
% 0.16/0.43 # System time : 0.005 s
% 0.16/0.43 # Total time : 0.006 s
% 0.16/0.43 # Maximum resident set size: 1640 pages
% 0.16/0.44
% 0.16/0.44 # -------------------------------------------------
% 0.16/0.44 # User time : 0.017 s
% 0.16/0.44 # System time : 0.008 s
% 0.16/0.44 # Total time : 0.025 s
% 0.16/0.44 # Maximum resident set size: 1684 pages
% 0.16/0.44 % E---3.1 exiting
% 0.16/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------