TSTP Solution File: SET215-6 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SET215-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 19:22:29 EDT 2023
% Result : Unsatisfiable 1945.00s 271.76s
% Output : CNFRefutation 1945.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 31 ( 9 unt; 4 nHn; 27 RR)
% Number of literals : 59 ( 3 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 16 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_corollary_6_to_X_product_monotonicity_1,negated_conjecture,
~ subclass(cross_product(intersection(x,y),z),cross_product(y,z)),
file('/export/starexec/sandbox/tmp/tmp.fj4aP2aVGx/E---3.1_29294.p',prove_corollary_6_to_X_product_monotonicity_1) ).
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
file('/export/starexec/sandbox/tmp/tmp.fj4aP2aVGx/E---3.1_29294.p',not_subclass_members1) ).
cnf(cartesian_product4,axiom,
( ordered_pair(first(X1),second(X1)) = X1
| ~ member(X1,cross_product(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.fj4aP2aVGx/E---3.1_29294.p',cartesian_product4) ).
cnf(subclass_members,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.fj4aP2aVGx/E---3.1_29294.p',subclass_members) ).
cnf(cartesian_product1,axiom,
( member(X1,X3)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.fj4aP2aVGx/E---3.1_29294.p',cartesian_product1) ).
cnf(not_subclass_members2,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
file('/export/starexec/sandbox/tmp/tmp.fj4aP2aVGx/E---3.1_29294.p',not_subclass_members2) ).
cnf(cartesian_product3,axiom,
( member(ordered_pair(X1,X3),cross_product(X2,X4))
| ~ member(X1,X2)
| ~ member(X3,X4) ),
file('/export/starexec/sandbox/tmp/tmp.fj4aP2aVGx/E---3.1_29294.p',cartesian_product3) ).
cnf(intersection2,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
file('/export/starexec/sandbox/tmp/tmp.fj4aP2aVGx/E---3.1_29294.p',intersection2) ).
cnf(cartesian_product2,axiom,
( member(X2,X4)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.fj4aP2aVGx/E---3.1_29294.p',cartesian_product2) ).
cnf(c_0_9,negated_conjecture,
~ subclass(cross_product(intersection(x,y),z),cross_product(y,z)),
prove_corollary_6_to_X_product_monotonicity_1 ).
cnf(c_0_10,axiom,
( member(not_subclass_element(X1,X2),X1)
| subclass(X1,X2) ),
not_subclass_members1 ).
cnf(c_0_11,axiom,
( ordered_pair(first(X1),second(X1)) = X1
| ~ member(X1,cross_product(X2,X3)) ),
cartesian_product4 ).
cnf(c_0_12,negated_conjecture,
member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(intersection(x,y),z)),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,axiom,
( member(X3,X2)
| ~ subclass(X1,X2)
| ~ member(X3,X1) ),
subclass_members ).
cnf(c_0_14,axiom,
( member(X1,X3)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
cartesian_product1 ).
cnf(c_0_15,negated_conjecture,
ordered_pair(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)))) = not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( member(not_subclass_element(X1,X2),X1)
| member(X3,X2)
| ~ member(X3,X1) ),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_17,axiom,
( subclass(X1,X2)
| ~ member(not_subclass_element(X1,X2),X2) ),
not_subclass_members2 ).
cnf(c_0_18,axiom,
( member(ordered_pair(X1,X3),cross_product(X2,X4))
| ~ member(X1,X2)
| ~ member(X3,X4) ),
cartesian_product3 ).
cnf(c_0_19,negated_conjecture,
( member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),X1)
| ~ member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(X1,X2)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( member(not_subclass_element(cross_product(intersection(x,y),z),X1),cross_product(intersection(x,y),z))
| member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_21,negated_conjecture,
~ member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(y,z)),
inference(spm,[status(thm)],[c_0_9,c_0_17]) ).
cnf(c_0_22,negated_conjecture,
( member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(X1,X2))
| ~ member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),X2)
| ~ member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
cnf(c_0_23,axiom,
( member(X1,X3)
| ~ member(X1,intersection(X2,X3)) ),
intersection2 ).
cnf(c_0_24,negated_conjecture,
member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),intersection(x,y)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_25,axiom,
( member(X2,X4)
| ~ member(ordered_pair(X1,X2),cross_product(X3,X4)) ),
cartesian_product2 ).
cnf(c_0_26,negated_conjecture,
( ~ member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),z)
| ~ member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),y) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
member(first(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),y),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_28,negated_conjecture,
( member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),X1)
| ~ member(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z)),cross_product(X2,X1)) ),
inference(spm,[status(thm)],[c_0_25,c_0_15]) ).
cnf(c_0_29,negated_conjecture,
~ member(second(not_subclass_element(cross_product(intersection(x,y),z),cross_product(y,z))),z),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
cnf(c_0_30,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_20]),c_0_29]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET215-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.04/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n021.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 17:17:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.50 Running first-order model finding
% 0.22/0.50 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.fj4aP2aVGx/E---3.1_29294.p
% 1945.00/271.76 # Version: 3.1pre001
% 1945.00/271.76 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1945.00/271.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1945.00/271.76 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1945.00/271.76 # Starting new_bool_3 with 300s (1) cores
% 1945.00/271.76 # Starting new_bool_1 with 300s (1) cores
% 1945.00/271.76 # Starting sh5l with 300s (1) cores
% 1945.00/271.76 # new_bool_3 with pid 29406 completed with status 8
% 1945.00/271.76 # new_bool_1 with pid 29407 completed with status 8
% 1945.00/271.76 # sh5l with pid 29408 completed with status 0
% 1945.00/271.76 # Result found by sh5l
% 1945.00/271.76 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1945.00/271.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1945.00/271.76 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1945.00/271.76 # Starting new_bool_3 with 300s (1) cores
% 1945.00/271.76 # Starting new_bool_1 with 300s (1) cores
% 1945.00/271.76 # Starting sh5l with 300s (1) cores
% 1945.00/271.76 # SinE strategy is gf500_gu_R04_F100_L20000
% 1945.00/271.76 # Search class: FGHSM-FFMM31-MFFFFFNN
% 1945.00/271.76 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1945.00/271.76 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 1945.00/271.76 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 29414 completed with status 7
% 1945.00/271.76 # Starting sh5l with 31s (1) cores
% 1945.00/271.76 # sh5l with pid 30394 completed with status 7
% 1945.00/271.76 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 23s (1) cores
% 1945.00/271.76 # G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with pid 30902 completed with status 7
% 1945.00/271.76 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 23s (1) cores
% 1945.00/271.76 # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 30905 completed with status 7
% 1945.00/271.76 # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 23s (1) cores
% 1945.00/271.76 # U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 30911 completed with status 7
% 1945.00/271.76 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 23s (1) cores
% 1945.00/271.76 # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with pid 30916 completed with status 7
% 1945.00/271.76 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AA with 23s (1) cores
% 1945.00/271.76 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AA with pid 30923 completed with status 7
% 1945.00/271.76 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 23s (1) cores
% 1945.00/271.76 # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with pid 30928 completed with status 7
% 1945.00/271.76 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 23s (1) cores
% 1945.00/271.76 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with pid 30931 completed with status 7
% 1945.00/271.76 # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y with 23s (1) cores
% 1945.00/271.76 # G-E--_208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y with pid 30936 completed with status 7
% 1945.00/271.76 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 23s (1) cores
% 1945.00/271.76 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 30943 completed with status 7
% 1945.00/271.76 # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S070I with 23s (1) cores
% 1945.00/271.76 # G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S070I with pid 30947 completed with status 0
% 1945.00/271.76 # Result found by G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S070I
% 1945.00/271.76 # Preprocessing class: FSLSSMSMSSSNFFN.
% 1945.00/271.76 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1945.00/271.76 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 1945.00/271.76 # Starting new_bool_3 with 300s (1) cores
% 1945.00/271.76 # Starting new_bool_1 with 300s (1) cores
% 1945.00/271.76 # Starting sh5l with 300s (1) cores
% 1945.00/271.76 # SinE strategy is gf500_gu_R04_F100_L20000
% 1945.00/271.76 # Search class: FGHSM-FFMM31-MFFFFFNN
% 1945.00/271.76 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 1945.00/271.76 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 1945.00/271.76 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 29414 completed with status 7
% 1945.00/271.76 # Starting sh5l with 31s (1) cores
% 1945.00/271.76 # sh5l with pid 30394 completed with status 7
% 1945.00/271.76 # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with 23s (1) cores
% 1945.00/271.76 # G-N--_023_B07_F1_SP_PI_Q7_CS_SE_S0Y with pid 30902 completed with status 7
% 1945.00/271.76 # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 23s (1) cores
% 1945.00/271.76 # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 30905 completed with status 7
% 1945.00/271.76 # Starting U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 23s (1) cores
% 1945.00/271.76 # U----_206c_02_C11_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 30911 completed with status 7
% 1945.00/271.76 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with 23s (1) cores
% 1945.00/271.76 # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4d with pid 30916 completed with status 7
% 1945.00/271.76 # Starting G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AA with 23s (1) cores
% 1945.00/271.76 # G-E--_208_B07----D_F1_SE_CS_SP_PS_S5PRR_RG_S04AA with pid 30923 completed with status 7
% 1945.00/271.76 # Starting G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with 23s (1) cores
% 1945.00/271.76 # G-E--_008_C45_F1_PI_AE_Q4_CS_SP_S4c with pid 30928 completed with status 7
% 1945.00/271.76 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 23s (1) cores
% 1945.00/271.76 # G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with pid 30931 completed with status 7
% 1945.00/271.76 # Starting G-E--_208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y with 23s (1) cores
% 1945.00/271.76 # G-E--_208_B07_F1_AE_CS_SP_PS_S5PRR_S0Y with pid 30936 completed with status 7
% 1945.00/271.76 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with 23s (1) cores
% 1945.00/271.76 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0YI with pid 30943 completed with status 7
% 1945.00/271.76 # Starting G-E--_208_C12_02_nc_F1_SE_CS_SP_PS_S070I with 23s (1) cores
% 1945.00/271.76 # Preprocessing time : 0.004 s
% 1945.00/271.76 # Presaturation interreduction done
% 1945.00/271.76
% 1945.00/271.76 # Proof found!
% 1945.00/271.76 # SZS status Unsatisfiable
% 1945.00/271.76 # SZS output start CNFRefutation
% See solution above
% 1945.00/271.76 # Parsed axioms : 113
% 1945.00/271.76 # Removed by relevancy pruning/SinE : 14
% 1945.00/271.76 # Initial clauses : 99
% 1945.00/271.76 # Removed in clause preprocessing : 0
% 1945.00/271.76 # Initial clauses in saturation : 99
% 1945.00/271.76 # Processed clauses : 18475
% 1945.00/271.76 # ...of these trivial : 205
% 1945.00/271.76 # ...subsumed : 13698
% 1945.00/271.76 # ...remaining for further processing : 4572
% 1945.00/271.76 # Other redundant clauses eliminated : 11
% 1945.00/271.76 # Clauses deleted for lack of memory : 0
% 1945.00/271.76 # Backward-subsumed : 86
% 1945.00/271.76 # Backward-rewritten : 125
% 1945.00/271.76 # Generated clauses : 427591
% 1945.00/271.76 # ...of the previous two non-redundant : 399691
% 1945.00/271.76 # ...aggressively subsumed : 0
% 1945.00/271.76 # Contextual simplify-reflections : 79
% 1945.00/271.76 # Paramodulations : 427546
% 1945.00/271.76 # Factorizations : 34
% 1945.00/271.76 # NegExts : 0
% 1945.00/271.76 # Equation resolutions : 11
% 1945.00/271.76 # Total rewrite steps : 148418
% 1945.00/271.76 # Propositional unsat checks : 0
% 1945.00/271.76 # Propositional check models : 0
% 1945.00/271.76 # Propositional check unsatisfiable : 0
% 1945.00/271.76 # Propositional clauses : 0
% 1945.00/271.76 # Propositional clauses after purity: 0
% 1945.00/271.76 # Propositional unsat core size : 0
% 1945.00/271.76 # Propositional preprocessing time : 0.000
% 1945.00/271.76 # Propositional encoding time : 0.000
% 1945.00/271.76 # Propositional solver time : 0.000
% 1945.00/271.76 # Success case prop preproc time : 0.000
% 1945.00/271.76 # Success case prop encoding time : 0.000
% 1945.00/271.76 # Success case prop solver time : 0.000
% 1945.00/271.76 # Current number of processed clauses : 4260
% 1945.00/271.76 # Positive orientable unit clauses : 662
% 1945.00/271.76 # Positive unorientable unit clauses: 3
% 1945.00/271.76 # Negative unit clauses : 575
% 1945.00/271.76 # Non-unit-clauses : 3020
% 1945.00/271.76 # Current number of unprocessed clauses: 380909
% 1945.00/271.76 # ...number of literals in the above : 836963
% 1945.00/271.76 # Current number of archived formulas : 0
% 1945.00/271.76 # Current number of archived clauses : 309
% 1945.00/271.76 # Clause-clause subsumption calls (NU) : 983039
% 1945.00/271.76 # Rec. Clause-clause subsumption calls : 815546
% 1945.00/271.76 # Non-unit clause-clause subsumptions : 1899
% 1945.00/271.76 # Unit Clause-clause subsumption calls : 258926
% 1945.00/271.76 # Rewrite failures with RHS unbound : 59
% 1945.00/271.76 # BW rewrite match attempts : 1375
% 1945.00/271.76 # BW rewrite match successes : 60
% 1945.00/271.76 # Condensation attempts : 0
% 1945.00/271.76 # Condensation successes : 0
% 1945.00/271.76 # Termbank termtop insertions : 7832811
% 1945.00/271.76
% 1945.00/271.76 # -------------------------------------------------
% 1945.00/271.76 # User time : 260.166 s
% 1945.00/271.76 # System time : 7.401 s
% 1945.00/271.76 # Total time : 267.567 s
% 1945.00/271.76 # Maximum resident set size: 2004 pages
% 1945.00/271.76
% 1945.00/271.76 # -------------------------------------------------
% 1945.00/271.76 # User time : 705.824 s
% 1945.00/271.76 # System time : 7.826 s
% 1945.00/271.76 # Total time : 713.650 s
% 1945.00/271.76 # Maximum resident set size: 1776 pages
% 1945.00/271.76 % E---3.1 exiting
%------------------------------------------------------------------------------