TSTP Solution File: TOP027+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : TOP027+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n003.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 20:51:35 EDT 2023
% Result : Theorem 1.03s 0.56s
% Output : CNFRefutation 1.03s
% 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(t6_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)))
=> ( v3_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.po1A46guJz/E---3.1_3168.p',t6_tsp_2) ).
fof(t8_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)))
=> k1_tops_1(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k1_tops_1(X1,X3))) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.po1A46guJz/E---3.1_3168.p',t8_tsp_2) ).
fof(dt_k1_tops_1,axiom,
! [X1,X2] :
( ( l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> m1_subset_1(k1_tops_1(X1,X2),k1_zfmisc_1(u1_struct_0(X1))) ),
file('/export/starexec/sandbox2/tmp/tmp.po1A46guJz/E---3.1_3168.p',dt_k1_tops_1) ).
fof(fc6_tops_1,axiom,
! [X1,X2] :
( ( v2_pre_topc(X1)
& l1_pre_topc(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> v3_pre_topc(k1_tops_1(X1,X2),X1) ),
file('/export/starexec/sandbox2/tmp/tmp.po1A46guJz/E---3.1_3168.p',fc6_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)))
=> ( v3_pre_topc(X3,X1)
=> X3 = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t6_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)))
=> k1_tops_1(X1,X3) = k3_tex_4(X1,k5_subset_1(u1_struct_0(X1),X2,k1_tops_1(X1,X3))) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t8_tsp_2])]) ).
fof(c_0_6,plain,
! [X9,X10,X11] :
( v3_struct_0(X9)
| ~ v2_pre_topc(X9)
| ~ l1_pre_topc(X9)
| ~ m1_subset_1(X10,k1_zfmisc_1(u1_struct_0(X9)))
| ~ v1_tsp_2(X10,X9)
| ~ m1_subset_1(X11,k1_zfmisc_1(u1_struct_0(X9)))
| ~ v3_pre_topc(X11,X9)
| X11 = k3_tex_4(X9,k5_subset_1(u1_struct_0(X9),X10,X11)) ),
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)))
& k1_tops_1(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k1_tops_1(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)))
| ~ v3_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,
k1_tops_1(esk1_0,esk3_0) != k3_tex_4(esk1_0,k5_subset_1(u1_struct_0(esk1_0),esk2_0,k1_tops_1(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
| ~ v3_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,
! [X26,X27] :
( ~ l1_pre_topc(X26)
| ~ m1_subset_1(X27,k1_zfmisc_1(u1_struct_0(X26)))
| m1_subset_1(k1_tops_1(X26,X27),k1_zfmisc_1(u1_struct_0(X26))) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k1_tops_1])]) ).
cnf(c_0_17,negated_conjecture,
( ~ v3_pre_topc(k1_tops_1(esk1_0,esk3_0),esk1_0)
| ~ m1_subset_1(k1_tops_1(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(k1_tops_1(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,
! [X28,X29] :
( ~ v2_pre_topc(X28)
| ~ l1_pre_topc(X28)
| ~ m1_subset_1(X29,k1_zfmisc_1(u1_struct_0(X28)))
| v3_pre_topc(k1_tops_1(X28,X29),X28) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc6_tops_1])]) ).
cnf(c_0_21,negated_conjecture,
~ v3_pre_topc(k1_tops_1(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,
( v3_pre_topc(k1_tops_1(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
% 0.05/0.10 % Problem : TOP027+1 : TPTP v8.1.2. Released v3.4.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n003.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon Oct 2 19:10:48 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 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.po1A46guJz/E---3.1_3168.p
% 1.03/0.56 # Version: 3.1pre001
% 1.03/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.03/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.03/0.56 # Starting new_bool_3 with 300s (1) cores
% 1.03/0.56 # Starting new_bool_1 with 300s (1) cores
% 1.03/0.56 # Starting sh5l with 300s (1) cores
% 1.03/0.56 # sh5l with pid 3248 completed with status 0
% 1.03/0.56 # Result found by sh5l
% 1.03/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.03/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.03/0.56 # Starting new_bool_3 with 300s (1) cores
% 1.03/0.56 # Starting new_bool_1 with 300s (1) cores
% 1.03/0.56 # Starting sh5l with 300s (1) cores
% 1.03/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.03/0.56 # Search class: FGHSM-FSMM31-MFFFFFNN
% 1.03/0.56 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.03/0.56 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 163s (1) cores
% 1.03/0.56 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 3251 completed with status 0
% 1.03/0.56 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 1.03/0.56 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.03/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.03/0.56 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.03/0.56 # Starting new_bool_3 with 300s (1) cores
% 1.03/0.56 # Starting new_bool_1 with 300s (1) cores
% 1.03/0.56 # Starting sh5l with 300s (1) cores
% 1.03/0.56 # SinE strategy is gf500_gu_R04_F100_L20000
% 1.03/0.56 # Search class: FGHSM-FSMM31-MFFFFFNN
% 1.03/0.56 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 1.03/0.56 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 163s (1) cores
% 1.03/0.56 # Preprocessing time : 0.003 s
% 1.03/0.56 # Presaturation interreduction done
% 1.03/0.56
% 1.03/0.56 # Proof found!
% 1.03/0.56 # SZS status Theorem
% 1.03/0.56 # SZS output start CNFRefutation
% See solution above
% 1.03/0.56 # Parsed axioms : 79
% 1.03/0.56 # Removed by relevancy pruning/SinE : 8
% 1.03/0.56 # Initial clauses : 178
% 1.03/0.56 # Removed in clause preprocessing : 3
% 1.03/0.56 # Initial clauses in saturation : 175
% 1.03/0.56 # Processed clauses : 2180
% 1.03/0.56 # ...of these trivial : 17
% 1.03/0.56 # ...subsumed : 1050
% 1.03/0.56 # ...remaining for further processing : 1113
% 1.03/0.56 # Other redundant clauses eliminated : 0
% 1.03/0.56 # Clauses deleted for lack of memory : 0
% 1.03/0.56 # Backward-subsumed : 6
% 1.03/0.56 # Backward-rewritten : 22
% 1.03/0.56 # Generated clauses : 2862
% 1.03/0.56 # ...of the previous two non-redundant : 2644
% 1.03/0.56 # ...aggressively subsumed : 0
% 1.03/0.56 # Contextual simplify-reflections : 0
% 1.03/0.56 # Paramodulations : 2859
% 1.03/0.56 # Factorizations : 0
% 1.03/0.56 # NegExts : 0
% 1.03/0.56 # Equation resolutions : 0
% 1.03/0.56 # Total rewrite steps : 509
% 1.03/0.56 # Propositional unsat checks : 0
% 1.03/0.56 # Propositional check models : 0
% 1.03/0.56 # Propositional check unsatisfiable : 0
% 1.03/0.56 # Propositional clauses : 0
% 1.03/0.56 # Propositional clauses after purity: 0
% 1.03/0.56 # Propositional unsat core size : 0
% 1.03/0.56 # Propositional preprocessing time : 0.000
% 1.03/0.56 # Propositional encoding time : 0.000
% 1.03/0.56 # Propositional solver time : 0.000
% 1.03/0.56 # Success case prop preproc time : 0.000
% 1.03/0.56 # Success case prop encoding time : 0.000
% 1.03/0.56 # Success case prop solver time : 0.000
% 1.03/0.56 # Current number of processed clauses : 910
% 1.03/0.56 # Positive orientable unit clauses : 60
% 1.03/0.56 # Positive unorientable unit clauses: 1
% 1.03/0.56 # Negative unit clauses : 25
% 1.03/0.56 # Non-unit-clauses : 824
% 1.03/0.56 # Current number of unprocessed clauses: 717
% 1.03/0.56 # ...number of literals in the above : 3081
% 1.03/0.56 # Current number of archived formulas : 0
% 1.03/0.56 # Current number of archived clauses : 202
% 1.03/0.56 # Clause-clause subsumption calls (NU) : 159100
% 1.03/0.56 # Rec. Clause-clause subsumption calls : 113162
% 1.03/0.56 # Non-unit clause-clause subsumptions : 949
% 1.03/0.56 # Unit Clause-clause subsumption calls : 2308
% 1.03/0.56 # Rewrite failures with RHS unbound : 0
% 1.03/0.56 # BW rewrite match attempts : 19
% 1.03/0.56 # BW rewrite match successes : 15
% 1.03/0.56 # Condensation attempts : 0
% 1.03/0.56 # Condensation successes : 0
% 1.03/0.56 # Termbank termtop insertions : 45456
% 1.03/0.56
% 1.03/0.56 # -------------------------------------------------
% 1.03/0.56 # User time : 0.108 s
% 1.03/0.56 # System time : 0.008 s
% 1.03/0.56 # Total time : 0.116 s
% 1.03/0.56 # Maximum resident set size: 2268 pages
% 1.03/0.56
% 1.03/0.56 # -------------------------------------------------
% 1.03/0.56 # User time : 0.110 s
% 1.03/0.56 # System time : 0.010 s
% 1.03/0.56 # Total time : 0.120 s
% 1.03/0.56 # Maximum resident set size: 1756 pages
% 1.03/0.56 % E---3.1 exiting
%------------------------------------------------------------------------------