TSTP Solution File: SET850-1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET850-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n001.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 19:24:11 EDT 2023
% Result : Unsatisfiable 0.21s 0.61s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 16 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Set_Osubset__trans_0,axiom,
( c_lessequals(X4,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X4,X1,tc_set(X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.WEuyu5kt3B/E---3.1_9553.p',cls_Set_Osubset__trans_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.WEuyu5kt3B/E---3.1_9553.p',cls_conjecture_0) ).
cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))),
file('/export/starexec/sandbox2/tmp/tmp.WEuyu5kt3B/E---3.1_9553.p',cls_Zorn_OAbrial__axiom1_0) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))),
file('/export/starexec/sandbox2/tmp/tmp.WEuyu5kt3B/E---3.1_9553.p',cls_conjecture_1) ).
cnf(c_0_4,axiom,
( c_lessequals(X4,X2,tc_set(X3))
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X4,X1,tc_set(X3)) ),
cls_Set_Osubset__trans_0 ).
cnf(c_0_5,negated_conjecture,
c_lessequals(v_x,v_y,tc_set(tc_set(t_a))),
cls_conjecture_0 ).
cnf(c_0_6,negated_conjecture,
( c_lessequals(v_x,X1,tc_set(tc_set(t_a)))
| ~ c_lessequals(v_y,X1,tc_set(tc_set(t_a))) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_7,axiom,
c_lessequals(X1,c_Zorn_Osucc(X2,X1,X3),tc_set(tc_set(X3))),
cls_Zorn_OAbrial__axiom1_0 ).
cnf(c_0_8,negated_conjecture,
~ c_lessequals(v_x,c_Zorn_Osucc(v_S,v_y,t_a),tc_set(tc_set(t_a))),
cls_conjecture_1 ).
cnf(c_0_9,negated_conjecture,
c_lessequals(v_x,c_Zorn_Osucc(X1,v_y,t_a),tc_set(tc_set(t_a))),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET850-1 : TPTP v8.1.2. Released v3.2.0.
% 0.12/0.14 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n001.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 2400
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Oct 2 17:48:07 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.56 Running first-order model finding
% 0.21/0.56 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.WEuyu5kt3B/E---3.1_9553.p
% 0.21/0.61 # Version: 3.1pre001
% 0.21/0.61 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.21/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.61 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.61 # Starting sh5l with 300s (1) cores
% 0.21/0.61 # new_bool_3 with pid 9632 completed with status 0
% 0.21/0.61 # Result found by new_bool_3
% 0.21/0.61 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.21/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.61 # Search class: FGHSM-FSLM32-SFFFFFNN
% 0.21/0.61 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.61 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 127s (1) cores
% 0.21/0.61 # G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 9635 completed with status 0
% 0.21/0.61 # Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 0.21/0.61 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.21/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.61 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.61 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.61 # Search class: FGHSM-FSLM32-SFFFFFNN
% 0.21/0.61 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.61 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 127s (1) cores
% 0.21/0.61 # Preprocessing time : 0.003 s
% 0.21/0.61
% 0.21/0.61 # Proof found!
% 0.21/0.61 # SZS status Unsatisfiable
% 0.21/0.61 # SZS output start CNFRefutation
% See solution above
% 0.21/0.61 # Parsed axioms : 1361
% 0.21/0.61 # Removed by relevancy pruning/SinE : 977
% 0.21/0.61 # Initial clauses : 384
% 0.21/0.61 # Removed in clause preprocessing : 0
% 0.21/0.61 # Initial clauses in saturation : 384
% 0.21/0.61 # Processed clauses : 390
% 0.21/0.61 # ...of these trivial : 0
% 0.21/0.61 # ...subsumed : 4
% 0.21/0.61 # ...remaining for further processing : 386
% 0.21/0.61 # Other redundant clauses eliminated : 0
% 0.21/0.61 # Clauses deleted for lack of memory : 0
% 0.21/0.61 # Backward-subsumed : 2
% 0.21/0.61 # Backward-rewritten : 3
% 0.21/0.61 # Generated clauses : 154
% 0.21/0.61 # ...of the previous two non-redundant : 92
% 0.21/0.61 # ...aggressively subsumed : 0
% 0.21/0.61 # Contextual simplify-reflections : 0
% 0.21/0.61 # Paramodulations : 151
% 0.21/0.61 # Factorizations : 0
% 0.21/0.61 # NegExts : 0
% 0.21/0.61 # Equation resolutions : 3
% 0.21/0.61 # Total rewrite steps : 59
% 0.21/0.61 # Propositional unsat checks : 0
% 0.21/0.61 # Propositional check models : 0
% 0.21/0.61 # Propositional check unsatisfiable : 0
% 0.21/0.61 # Propositional clauses : 0
% 0.21/0.61 # Propositional clauses after purity: 0
% 0.21/0.61 # Propositional unsat core size : 0
% 0.21/0.61 # Propositional preprocessing time : 0.000
% 0.21/0.61 # Propositional encoding time : 0.000
% 0.21/0.61 # Propositional solver time : 0.000
% 0.21/0.61 # Success case prop preproc time : 0.000
% 0.21/0.61 # Success case prop encoding time : 0.000
% 0.21/0.61 # Success case prop solver time : 0.000
% 0.21/0.61 # Current number of processed clauses : 381
% 0.21/0.61 # Positive orientable unit clauses : 37
% 0.21/0.61 # Positive unorientable unit clauses: 0
% 0.21/0.61 # Negative unit clauses : 5
% 0.21/0.61 # Non-unit-clauses : 339
% 0.21/0.61 # Current number of unprocessed clauses: 86
% 0.21/0.61 # ...number of literals in the above : 163
% 0.21/0.61 # Current number of archived formulas : 0
% 0.21/0.61 # Current number of archived clauses : 5
% 0.21/0.61 # Clause-clause subsumption calls (NU) : 24218
% 0.21/0.61 # Rec. Clause-clause subsumption calls : 24183
% 0.21/0.61 # Non-unit clause-clause subsumptions : 5
% 0.21/0.61 # Unit Clause-clause subsumption calls : 72
% 0.21/0.61 # Rewrite failures with RHS unbound : 0
% 0.21/0.61 # BW rewrite match attempts : 10
% 0.21/0.61 # BW rewrite match successes : 3
% 0.21/0.61 # Condensation attempts : 0
% 0.21/0.61 # Condensation successes : 0
% 0.21/0.61 # Termbank termtop insertions : 12733
% 0.21/0.61
% 0.21/0.61 # -------------------------------------------------
% 0.21/0.61 # User time : 0.021 s
% 0.21/0.61 # System time : 0.004 s
% 0.21/0.61 # Total time : 0.025 s
% 0.21/0.61 # Maximum resident set size: 2980 pages
% 0.21/0.61
% 0.21/0.61 # -------------------------------------------------
% 0.21/0.61 # User time : 0.033 s
% 0.21/0.61 # System time : 0.006 s
% 0.21/0.61 # Total time : 0.039 s
% 0.21/0.61 # Maximum resident set size: 2400 pages
% 0.21/0.61 % E---3.1 exiting
%------------------------------------------------------------------------------