TSTP Solution File: SET825-2 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SET825-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 19:20:58 EDT 2023
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 16 ( 8 unt; 4 nHn; 14 RR)
% Number of literals : 28 ( 6 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_Relation_Opair__in__Id__conv__iff1_0,axiom,
( X1 = X2
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
file('/export/starexec/sandbox2/tmp/tmp.j7DQMBZUpI/E---3.1_29728.p',cls_Relation_Opair__in__Id__conv__iff1_0) ).
cnf(cls_conjecture_2,negated_conjecture,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_x(X1),v_xa(X1),tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/tmp/tmp.j7DQMBZUpI/E---3.1_29728.p',cls_conjecture_2) ).
cnf(cls_Relation_OIdI_0,axiom,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
file('/export/starexec/sandbox2/tmp/tmp.j7DQMBZUpI/E---3.1_29728.p',cls_Relation_OIdI_0) ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_Suc(v_x(X1)),c_Suc(v_xa(X1)),tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat)) ),
file('/export/starexec/sandbox2/tmp/tmp.j7DQMBZUpI/E---3.1_29728.p',cls_conjecture_3) ).
cnf(cls_conjecture_1,negated_conjecture,
~ v_Q(v_m),
file('/export/starexec/sandbox2/tmp/tmp.j7DQMBZUpI/E---3.1_29728.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
v_Q(v_n),
file('/export/starexec/sandbox2/tmp/tmp.j7DQMBZUpI/E---3.1_29728.p',cls_conjecture_0) ).
cnf(c_0_6,axiom,
( X1 = X2
| ~ c_in(c_Pair(X1,X2,X3,X3),c_Relation_OId,tc_prod(X3,X3)) ),
cls_Relation_Opair__in__Id__conv__iff1_0 ).
cnf(c_0_7,negated_conjecture,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat))
| c_in(c_Pair(v_x(X1),v_xa(X1),tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat)) ),
cls_conjecture_2 ).
cnf(c_0_8,axiom,
c_in(c_Pair(X1,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)),
cls_Relation_OIdI_0 ).
cnf(c_0_9,negated_conjecture,
( v_xa(c_Relation_OId) = v_x(c_Relation_OId)
| c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),c_Relation_OId,tc_prod(tc_nat,tc_nat)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8])]) ).
cnf(c_0_10,negated_conjecture,
( c_in(c_Pair(v_n,v_m,tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_Suc(v_x(X1)),c_Suc(v_xa(X1)),tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat))
| ~ c_in(c_Pair(c_0,c_0,tc_nat,tc_nat),X1,tc_prod(tc_nat,tc_nat)) ),
cls_conjecture_3 ).
cnf(c_0_11,negated_conjecture,
( v_xa(c_Relation_OId) = v_x(c_Relation_OId)
| v_m = v_n ),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_12,negated_conjecture,
~ v_Q(v_m),
cls_conjecture_1 ).
cnf(c_0_13,negated_conjecture,
v_m = v_n,
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_8]),c_0_8])]),c_0_6]) ).
cnf(c_0_14,negated_conjecture,
v_Q(v_n),
cls_conjecture_0 ).
cnf(c_0_15,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SET825-2 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.10 % Command : run_E %s %d THM
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 2400
% 0.10/0.29 % WCLimit : 300
% 0.10/0.29 % DateTime : Mon Oct 2 16:54:04 EDT 2023
% 0.10/0.29 % CPUTime :
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 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.j7DQMBZUpI/E---3.1_29728.p
% 0.13/0.40 # Version: 3.1pre001
% 0.13/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.40 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.40 # Starting sh5l with 300s (1) cores
% 0.13/0.40 # sh5l with pid 29877 completed with status 0
% 0.13/0.40 # Result found by sh5l
% 0.13/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.40 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.40 # Starting sh5l with 300s (1) cores
% 0.13/0.40 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.40 # Search class: FGUSF-FFSF31-MFFFFFNN
% 0.13/0.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.40 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.13/0.40 # SAT001_MinMin_p005000_rr_RG with pid 29884 completed with status 0
% 0.13/0.40 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.13/0.40 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.13/0.40 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.40 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.13/0.40 # Starting new_bool_3 with 300s (1) cores
% 0.13/0.40 # Starting new_bool_1 with 300s (1) cores
% 0.13/0.40 # Starting sh5l with 300s (1) cores
% 0.13/0.40 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.13/0.40 # Search class: FGUSF-FFSF31-MFFFFFNN
% 0.13/0.40 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.13/0.40 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.13/0.40 # Preprocessing time : 0.001 s
% 0.13/0.40 # Presaturation interreduction done
% 0.13/0.40
% 0.13/0.40 # Proof found!
% 0.13/0.40 # SZS status Unsatisfiable
% 0.13/0.40 # SZS output start CNFRefutation
% See solution above
% 0.13/0.40 # Parsed axioms : 6
% 0.13/0.40 # Removed by relevancy pruning/SinE : 0
% 0.13/0.40 # Initial clauses : 6
% 0.13/0.40 # Removed in clause preprocessing : 0
% 0.13/0.40 # Initial clauses in saturation : 6
% 0.13/0.40 # Processed clauses : 15
% 0.13/0.40 # ...of these trivial : 0
% 0.13/0.40 # ...subsumed : 0
% 0.13/0.40 # ...remaining for further processing : 15
% 0.13/0.40 # Other redundant clauses eliminated : 0
% 0.13/0.40 # Clauses deleted for lack of memory : 0
% 0.13/0.40 # Backward-subsumed : 0
% 0.13/0.40 # Backward-rewritten : 2
% 0.13/0.40 # Generated clauses : 5
% 0.13/0.40 # ...of the previous two non-redundant : 3
% 0.13/0.40 # ...aggressively subsumed : 0
% 0.13/0.40 # Contextual simplify-reflections : 1
% 0.13/0.40 # Paramodulations : 5
% 0.13/0.40 # Factorizations : 0
% 0.13/0.40 # NegExts : 0
% 0.13/0.40 # Equation resolutions : 0
% 0.13/0.40 # Total rewrite steps : 8
% 0.13/0.40 # Propositional unsat checks : 0
% 0.13/0.40 # Propositional check models : 0
% 0.13/0.40 # Propositional check unsatisfiable : 0
% 0.13/0.40 # Propositional clauses : 0
% 0.13/0.40 # Propositional clauses after purity: 0
% 0.13/0.40 # Propositional unsat core size : 0
% 0.13/0.40 # Propositional preprocessing time : 0.000
% 0.13/0.40 # Propositional encoding time : 0.000
% 0.13/0.40 # Propositional solver time : 0.000
% 0.13/0.40 # Success case prop preproc time : 0.000
% 0.13/0.40 # Success case prop encoding time : 0.000
% 0.13/0.40 # Success case prop solver time : 0.000
% 0.13/0.40 # Current number of processed clauses : 7
% 0.13/0.40 # Positive orientable unit clauses : 3
% 0.13/0.40 # Positive unorientable unit clauses: 0
% 0.13/0.40 # Negative unit clauses : 0
% 0.13/0.40 # Non-unit-clauses : 4
% 0.13/0.40 # Current number of unprocessed clauses: 0
% 0.13/0.40 # ...number of literals in the above : 0
% 0.13/0.40 # Current number of archived formulas : 0
% 0.13/0.40 # Current number of archived clauses : 8
% 0.13/0.40 # Clause-clause subsumption calls (NU) : 11
% 0.13/0.40 # Rec. Clause-clause subsumption calls : 11
% 0.13/0.40 # Non-unit clause-clause subsumptions : 1
% 0.13/0.40 # Unit Clause-clause subsumption calls : 3
% 0.13/0.40 # Rewrite failures with RHS unbound : 0
% 0.13/0.40 # BW rewrite match attempts : 3
% 0.13/0.40 # BW rewrite match successes : 1
% 0.13/0.40 # Condensation attempts : 0
% 0.13/0.40 # Condensation successes : 0
% 0.13/0.40 # Termbank termtop insertions : 463
% 0.13/0.40
% 0.13/0.40 # -------------------------------------------------
% 0.13/0.40 # User time : 0.003 s
% 0.13/0.40 # System time : 0.000 s
% 0.13/0.40 # Total time : 0.003 s
% 0.13/0.40 # Maximum resident set size: 1644 pages
% 0.13/0.40
% 0.13/0.40 # -------------------------------------------------
% 0.13/0.40 # User time : 0.003 s
% 0.13/0.40 # System time : 0.002 s
% 0.13/0.40 # Total time : 0.005 s
% 0.13/0.40 # Maximum resident set size: 1680 pages
% 0.13/0.40 % E---3.1 exiting
% 0.13/0.41 % E---3.1 exiting
%------------------------------------------------------------------------------