TSTP Solution File: TOP005-2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% 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 20:51:31 EDT 2023
% Result : Unsatisfiable 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 32 ( 6 unt; 2 nHn; 30 RR)
% Number of literals : 87 ( 0 equ; 56 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 70 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(topology_generated_41,axiom,
( element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(f11(X2,X1),X3)
| ~ element_of_collection(X3,X2)
| ~ subset_sets(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p',topology_generated_41) ).
cnf(topology_generated_37,axiom,
( element_of_set(X3,f10(X2,X1,X3))
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p',topology_generated_37) ).
cnf(set_theory_20,axiom,
( subset_sets(X1,union_of_members(X3))
| ~ subset_sets(X1,X2)
| ~ element_of_collection(X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p',set_theory_20) ).
cnf(topology_generated_39,axiom,
( subset_sets(f10(X2,X1,X3),X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p',topology_generated_39) ).
cnf(topology_generated_38,axiom,
( element_of_collection(f10(X2,X1,X3),X2)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p',topology_generated_38) ).
cnf(union_of_members_1,axiom,
( element_of_set(X1,f1(X2,X1))
| ~ element_of_set(X1,union_of_members(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p',union_of_members_1) ).
cnf(set_theory_21,axiom,
( element_of_collection(X3,X2)
| ~ subset_collections(X1,X2)
| ~ element_of_collection(X3,X1) ),
file('/export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p',set_theory_21) ).
cnf(lemma_1e_2,negated_conjecture,
subset_collections(g,top_of_basis(f)),
file('/export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p',lemma_1e_2) ).
cnf(union_of_members_2,axiom,
( element_of_collection(f1(X2,X1),X2)
| ~ element_of_set(X1,union_of_members(X2)) ),
file('/export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p',union_of_members_2) ).
cnf(lemma_1e_3,negated_conjecture,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
file('/export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p',lemma_1e_3) ).
cnf(topology_generated_40,axiom,
( element_of_collection(X1,top_of_basis(X2))
| element_of_set(f11(X2,X1),X1) ),
file('/export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p',topology_generated_40) ).
cnf(c_0_11,axiom,
( element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(f11(X2,X1),X3)
| ~ element_of_collection(X3,X2)
| ~ subset_sets(X3,X1) ),
topology_generated_41 ).
cnf(c_0_12,axiom,
( element_of_set(X3,f10(X2,X1,X3))
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
topology_generated_37 ).
cnf(c_0_13,axiom,
( subset_sets(X1,union_of_members(X3))
| ~ subset_sets(X1,X2)
| ~ element_of_collection(X2,X3) ),
set_theory_20 ).
cnf(c_0_14,axiom,
( subset_sets(f10(X2,X1,X3),X1)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
topology_generated_39 ).
cnf(c_0_15,plain,
( element_of_collection(X1,top_of_basis(X2))
| ~ subset_sets(f10(X3,X4,f11(X2,X1)),X1)
| ~ element_of_collection(f10(X3,X4,f11(X2,X1)),X2)
| ~ element_of_collection(X4,top_of_basis(X3))
| ~ element_of_set(f11(X2,X1),X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( subset_sets(f10(X1,X2,X3),union_of_members(X4))
| ~ element_of_collection(X2,top_of_basis(X1))
| ~ element_of_collection(X2,X4)
| ~ element_of_set(X3,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,plain,
( element_of_collection(union_of_members(X1),top_of_basis(X2))
| ~ element_of_collection(f10(X3,X4,f11(X2,union_of_members(X1))),X2)
| ~ element_of_collection(X4,top_of_basis(X3))
| ~ element_of_collection(X4,X1)
| ~ element_of_set(f11(X2,union_of_members(X1)),X4) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
( element_of_collection(f10(X2,X1,X3),X2)
| ~ element_of_collection(X1,top_of_basis(X2))
| ~ element_of_set(X3,X1) ),
topology_generated_38 ).
cnf(c_0_19,plain,
( element_of_collection(union_of_members(X1),top_of_basis(X2))
| ~ element_of_collection(X3,top_of_basis(X2))
| ~ element_of_collection(X3,X1)
| ~ element_of_set(f11(X2,union_of_members(X1)),X3) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,axiom,
( element_of_set(X1,f1(X2,X1))
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_1 ).
cnf(c_0_21,axiom,
( element_of_collection(X3,X2)
| ~ subset_collections(X1,X2)
| ~ element_of_collection(X3,X1) ),
set_theory_21 ).
cnf(c_0_22,negated_conjecture,
subset_collections(g,top_of_basis(f)),
lemma_1e_2 ).
cnf(c_0_23,plain,
( element_of_collection(union_of_members(X1),top_of_basis(X2))
| ~ element_of_collection(f1(X3,f11(X2,union_of_members(X1))),top_of_basis(X2))
| ~ element_of_collection(f1(X3,f11(X2,union_of_members(X1))),X1)
| ~ element_of_set(f11(X2,union_of_members(X1)),union_of_members(X3)) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( element_of_collection(X1,top_of_basis(f))
| ~ element_of_collection(X1,g) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
( element_of_collection(union_of_members(X1),top_of_basis(f))
| ~ element_of_collection(f1(X2,f11(f,union_of_members(X1))),g)
| ~ element_of_collection(f1(X2,f11(f,union_of_members(X1))),X1)
| ~ element_of_set(f11(f,union_of_members(X1)),union_of_members(X2)) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_26,axiom,
( element_of_collection(f1(X2,X1),X2)
| ~ element_of_set(X1,union_of_members(X2)) ),
union_of_members_2 ).
cnf(c_0_27,negated_conjecture,
( element_of_collection(union_of_members(X1),top_of_basis(f))
| ~ element_of_collection(f1(g,f11(f,union_of_members(X1))),X1)
| ~ element_of_set(f11(f,union_of_members(X1)),union_of_members(g)) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
~ element_of_collection(union_of_members(g),top_of_basis(f)),
lemma_1e_3 ).
cnf(c_0_29,negated_conjecture,
~ element_of_set(f11(f,union_of_members(g)),union_of_members(g)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_26]),c_0_28]) ).
cnf(c_0_30,axiom,
( element_of_collection(X1,top_of_basis(X2))
| element_of_set(f11(X2,X1),X1) ),
topology_generated_40 ).
cnf(c_0_31,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : TOP005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Oct 2 19:15:36 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.42 Running first-order model finding
% 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 --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.nzBm50Hm2P/E---3.1_23383.p
% 0.16/0.45 # Version: 3.1pre001
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23461 completed with status 0
% 0.16/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # No SInE strategy applied
% 0.16/0.45 # Search class: FGUNF-FFSF31-SFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.45 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.45 # Starting sh5l with 136s (1) cores
% 0.16/0.45 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 23467 completed with status 0
% 0.16/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.45 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.45 # No SInE strategy applied
% 0.16/0.45 # Search class: FGUNF-FFSF31-SFFFFFNN
% 0.16/0.45 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.45 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.16/0.45 # Preprocessing time : 0.001 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Unsatisfiable
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 12
% 0.16/0.45 # Removed by relevancy pruning/SinE : 0
% 0.16/0.45 # Initial clauses : 12
% 0.16/0.45 # Removed in clause preprocessing : 0
% 0.16/0.45 # Initial clauses in saturation : 12
% 0.16/0.45 # Processed clauses : 208
% 0.16/0.45 # ...of these trivial : 0
% 0.16/0.45 # ...subsumed : 31
% 0.16/0.45 # ...remaining for further processing : 177
% 0.16/0.45 # Other redundant clauses eliminated : 0
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 1
% 0.16/0.45 # Backward-rewritten : 1
% 0.16/0.45 # Generated clauses : 836
% 0.16/0.45 # ...of the previous two non-redundant : 823
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 8
% 0.16/0.45 # Paramodulations : 832
% 0.16/0.45 # Factorizations : 4
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 0
% 0.16/0.45 # Total rewrite steps : 9
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 163
% 0.16/0.45 # Positive orientable unit clauses : 2
% 0.16/0.45 # Positive unorientable unit clauses: 0
% 0.16/0.45 # Negative unit clauses : 3
% 0.16/0.45 # Non-unit-clauses : 158
% 0.16/0.45 # Current number of unprocessed clauses: 639
% 0.16/0.45 # ...number of literals in the above : 2901
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 14
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 2626
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 1639
% 0.16/0.45 # Non-unit clause-clause subsumptions : 34
% 0.16/0.45 # Unit Clause-clause subsumption calls : 39
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 10
% 0.16/0.45 # BW rewrite match successes : 1
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 20969
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.025 s
% 0.16/0.45 # System time : 0.003 s
% 0.16/0.45 # Total time : 0.028 s
% 0.16/0.45 # Maximum resident set size: 1640 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.131 s
% 0.16/0.45 # System time : 0.007 s
% 0.16/0.45 # Total time : 0.138 s
% 0.16/0.45 # Maximum resident set size: 1676 pages
% 0.16/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------