TSTP Solution File: TOP026+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : TOP026+1 : TPTP v8.1.2. Released v3.4.0.
% 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 20:51:10 EDT 2023
% Result : Theorem 1.17s 0.61s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 9 unt; 0 def)
% Number of atoms : 88 ( 9 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 100 ( 36 ~; 27 |; 17 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 31 ( 0 sgn; 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t5_tsp_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6iy7teDh3z/E---3.1_21613.p',t5_tsp_2) ).
fof(t7_tsp_2,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.6iy7teDh3z/E---3.1_21613.p',t7_tsp_2) ).
fof(dt_k6_pre_topc,axiom,
! [X1,X2] :
( ( l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox/tmp/tmp.6iy7teDh3z/E---3.1_21613.p',dt_k6_pre_topc) ).
fof(fc2_tops_1,axiom,
! [X1,X2] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v4_pre_topc(k6_pre_topc(X1,X2),X1) ),
file('/export/starexec/sandbox/tmp/tmp.6iy7teDh3z/E---3.1_21613.p',fc2_tops_1) ).
fof(c_0_4,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v4_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t5_tsp_2]) ).
fof(c_0_5,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_pre_topc(X1)
& l1_pre_topc(X1) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( v1_tsp_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> k6_pre_topc(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k6_pre_topc(X1,X3))) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t7_tsp_2])]) ).
fof(c_0_6,plain,
! [X135,X136,X137] :
( v3_struct_0(X135)
| ~ v2_pre_topc(X135)
| ~ l1_pre_topc(X135)
| ~ m1_subset_1(X136,k1_zfmisc_1(u1_struct_0(X135)))
| ~ v1_tsp_2(X136,X135)
| ~ m1_subset_1(X137,k1_zfmisc_1(u1_struct_0(X135)))
| ~ v4_pre_topc(X137,X135)
| X137 = k3_tex_4(X135,k5_subset_1(u1_struct_0(X135),X136,X137)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
fof(c_0_7,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_pre_topc(esk1_0)
& l1_pre_topc(esk1_0)
& m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& v1_tsp_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0)))
& k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,plain,
( v3_struct_0(X1)
| X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3))
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_pre_topc(X3,X1) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_13,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,negated_conjecture,
k6_pre_topc(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k6_pre_topc(esk1_0,esk3_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_15,negated_conjecture,
( k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,X1)) = X1
| ~ v4_pre_topc(X1,esk1_0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11]),c_0_12])]),c_0_13]) ).
fof(c_0_16,plain,
! [X125,X126] :
( ~ l1_pre_topc(X125)
| ~ m1_subset_1(X126,k1_zfmisc_1(u1_struct_0(X125)))
| m1_subset_1(k6_pre_topc(X125,X126),k1_zfmisc_1(u1_struct_0(X125))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])]) ).
cnf(c_0_17,negated_conjecture,
( ~ v4_pre_topc(k6_pre_topc(esk1_0,esk3_0),esk1_0)
| ~ m1_subset_1(k6_pre_topc(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( m1_subset_1(k6_pre_topc(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
fof(c_0_20,plain,
! [X129,X130] :
( ~ v2_pre_topc(X129)
| ~ l1_pre_topc(X129)
| ~ m1_subset_1(X130,k1_zfmisc_1(u1_struct_0(X129)))
| v4_pre_topc(k6_pre_topc(X129,X130),X129) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_tops_1])]) ).
cnf(c_0_21,negated_conjecture,
~ v4_pre_topc(k6_pre_topc(esk1_0,esk3_0),esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_11])]) ).
cnf(c_0_22,plain,
( v4_pre_topc(k6_pre_topc(X1,X2),X1)
| ~ v2_pre_topc(X1)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_23,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_19]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : TOP026+1 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Oct 2 19:10:59 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.47 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.6iy7teDh3z/E---3.1_21613.p
% 1.17/0.61 # Version: 3.1pre001
% 1.17/0.61 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.17/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.17/0.61 # Starting new_bool_3 with 300s (1) cores
% 1.17/0.61 # Starting new_bool_1 with 300s (1) cores
% 1.17/0.61 # Starting sh5l with 300s (1) cores
% 1.17/0.61 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 21691 completed with status 0
% 1.17/0.61 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.17/0.61 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.17/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.17/0.61 # No SInE strategy applied
% 1.17/0.61 # Search class: FGHSM-FSMM31-MFFFFFNN
% 1.17/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.17/0.61 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 811s (1) cores
% 1.17/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.17/0.61 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1.17/0.61 # Starting new_bool_3 with 136s (1) cores
% 1.17/0.61 # Starting new_bool_1 with 136s (1) cores
% 1.17/0.61 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with pid 21700 completed with status 0
% 1.17/0.61 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y
% 1.17/0.61 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.17/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.17/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.17/0.61 # No SInE strategy applied
% 1.17/0.61 # Search class: FGHSM-FSMM31-MFFFFFNN
% 1.17/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.17/0.61 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 811s (1) cores
% 1.17/0.61 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.17/0.61 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1.17/0.61 # Preprocessing time : 0.002 s
% 1.17/0.61 # Presaturation interreduction done
% 1.17/0.61
% 1.17/0.61 # Proof found!
% 1.17/0.61 # SZS status Theorem
% 1.17/0.61 # SZS output start CNFRefutation
% See solution above
% 1.17/0.61 # Parsed axioms : 78
% 1.17/0.61 # Removed by relevancy pruning/SinE : 0
% 1.17/0.61 # Initial clauses : 180
% 1.17/0.61 # Removed in clause preprocessing : 9
% 1.17/0.61 # Initial clauses in saturation : 171
% 1.17/0.61 # Processed clauses : 2532
% 1.17/0.61 # ...of these trivial : 15
% 1.17/0.61 # ...subsumed : 1340
% 1.17/0.61 # ...remaining for further processing : 1177
% 1.17/0.61 # Other redundant clauses eliminated : 0
% 1.17/0.61 # Clauses deleted for lack of memory : 0
% 1.17/0.61 # Backward-subsumed : 5
% 1.17/0.61 # Backward-rewritten : 24
% 1.17/0.61 # Generated clauses : 3412
% 1.17/0.61 # ...of the previous two non-redundant : 3145
% 1.17/0.61 # ...aggressively subsumed : 0
% 1.17/0.61 # Contextual simplify-reflections : 0
% 1.17/0.61 # Paramodulations : 3409
% 1.17/0.61 # Factorizations : 0
% 1.17/0.61 # NegExts : 0
% 1.17/0.61 # Equation resolutions : 0
% 1.17/0.61 # Total rewrite steps : 571
% 1.17/0.61 # Propositional unsat checks : 0
% 1.17/0.61 # Propositional check models : 0
% 1.17/0.61 # Propositional check unsatisfiable : 0
% 1.17/0.61 # Propositional clauses : 0
% 1.17/0.61 # Propositional clauses after purity: 0
% 1.17/0.61 # Propositional unsat core size : 0
% 1.17/0.61 # Propositional preprocessing time : 0.000
% 1.17/0.61 # Propositional encoding time : 0.000
% 1.17/0.61 # Propositional solver time : 0.000
% 1.17/0.61 # Success case prop preproc time : 0.000
% 1.17/0.61 # Success case prop encoding time : 0.000
% 1.17/0.61 # Success case prop solver time : 0.000
% 1.17/0.61 # Current number of processed clauses : 977
% 1.17/0.61 # Positive orientable unit clauses : 71
% 1.17/0.61 # Positive unorientable unit clauses: 1
% 1.17/0.61 # Negative unit clauses : 28
% 1.17/0.61 # Non-unit-clauses : 877
% 1.17/0.61 # Current number of unprocessed clauses: 857
% 1.17/0.61 # ...number of literals in the above : 3686
% 1.17/0.61 # Current number of archived formulas : 0
% 1.17/0.61 # Current number of archived clauses : 199
% 1.17/0.61 # Clause-clause subsumption calls (NU) : 186578
% 1.17/0.61 # Rec. Clause-clause subsumption calls : 132377
% 1.17/0.61 # Non-unit clause-clause subsumptions : 1212
% 1.17/0.61 # Unit Clause-clause subsumption calls : 998
% 1.17/0.61 # Rewrite failures with RHS unbound : 0
% 1.17/0.61 # BW rewrite match attempts : 25
% 1.17/0.61 # BW rewrite match successes : 15
% 1.17/0.61 # Condensation attempts : 0
% 1.17/0.61 # Condensation successes : 0
% 1.17/0.61 # Termbank termtop insertions : 50742
% 1.17/0.61
% 1.17/0.61 # -------------------------------------------------
% 1.17/0.61 # User time : 0.121 s
% 1.17/0.61 # System time : 0.010 s
% 1.17/0.61 # Total time : 0.131 s
% 1.17/0.61 # Maximum resident set size: 2220 pages
% 1.17/0.61
% 1.17/0.61 # -------------------------------------------------
% 1.17/0.61 # User time : 0.595 s
% 1.17/0.61 # System time : 0.026 s
% 1.17/0.61 # Total time : 0.621 s
% 1.17/0.61 # Maximum resident set size: 1752 pages
% 1.17/0.61 % E---3.1 exiting
% 1.17/0.61 % E---3.1 exiting
%------------------------------------------------------------------------------