TSTP Solution File: TOP026+4 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : TOP026+4 : TPTP v8.2.0. Released v3.4.0.
% 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 : 300s
% WCLimit : 300s
% DateTime : Tue May 21 09:16:23 EDT 2024
% Result : Theorem 14.59s 3.30s
% Output : CNFRefutation 14.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 9 unt; 0 def)
% Number of atoms : 85 ( 8 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 96 ( 34 ~; 25 |; 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 : 30 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/benchmark/theBenchmark.p',t7_tsp_2) ).
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/benchmark/theBenchmark.p',t5_tsp_2) ).
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/benchmark/Axioms/SET007/SET007+207.ax',fc2_tops_1) ).
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/benchmark/Axioms/SET007/SET007+206.ax',dt_k6_pre_topc) ).
fof(c_0_4,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_5,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_6,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(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
fof(c_0_7,plain,
! [X232,X233,X234] :
( v3_struct_0(X232)
| ~ v2_pre_topc(X232)
| ~ l1_pre_topc(X232)
| ~ m1_subset_1(X233,k1_zfmisc_1(u1_struct_0(X232)))
| ~ v1_tsp_2(X233,X232)
| ~ m1_subset_1(X234,k1_zfmisc_1(u1_struct_0(X232)))
| ~ v4_pre_topc(X234,X232)
| X234 = k3_tex_4(X232,k5_subset_1(u1_struct_0(X232),X233,X234)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])])]) ).
cnf(c_0_8,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_6]) ).
cnf(c_0_9,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_7]) ).
cnf(c_0_10,negated_conjecture,
v1_tsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_11,negated_conjecture,
v2_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_12,negated_conjecture,
l1_pre_topc(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_13,negated_conjecture,
m1_subset_1(esk2_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_14,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_15,plain,
! [X866,X867] :
( ~ v2_pre_topc(X866)
| ~ l1_pre_topc(X866)
| ~ m1_subset_1(X867,k1_zfmisc_1(u1_struct_0(X866)))
| v4_pre_topc(k6_pre_topc(X866,X867),X866) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_tops_1])])]) ).
cnf(c_0_16,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(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[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])]),c_0_14]) ).
cnf(c_0_17,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_15]) ).
cnf(c_0_18,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
fof(c_0_19,plain,
! [X156,X157] :
( ~ l1_pre_topc(X156)
| ~ m1_subset_1(X157,k1_zfmisc_1(u1_struct_0(X156)))
| m1_subset_1(k6_pre_topc(X156,X157),k1_zfmisc_1(u1_struct_0(X156))) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k6_pre_topc])])]) ).
cnf(c_0_20,negated_conjecture,
~ m1_subset_1(k6_pre_topc(esk1_0,esk3_0),k1_zfmisc_1(u1_struct_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_11]),c_0_12]),c_0_18])]) ).
cnf(c_0_21,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_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_12]),c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : TOP026+4 : TPTP v8.2.0. Released v3.4.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n032.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 : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat May 18 11:05:29 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.40 Running first-order theorem proving
% 0.16/0.40 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/benchmark/theBenchmark.p
% 14.59/3.30 # Version: 3.1.0
% 14.59/3.30 # Preprocessing class: FMLLMLLLSSSNFFN.
% 14.59/3.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.59/3.30 # Starting new_bool_3 with 900s (3) cores
% 14.59/3.30 # Starting new_bool_1 with 900s (3) cores
% 14.59/3.30 # Starting sh5l with 300s (1) cores
% 14.59/3.30 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 300s (1) cores
% 14.59/3.30 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 17245 completed with status 0
% 14.59/3.30 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 14.59/3.30 # Preprocessing class: FMLLMLLLSSSNFFN.
% 14.59/3.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.59/3.30 # Starting new_bool_3 with 900s (3) cores
% 14.59/3.30 # Starting new_bool_1 with 900s (3) cores
% 14.59/3.30 # Starting sh5l with 300s (1) cores
% 14.59/3.30 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 300s (1) cores
% 14.59/3.30 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 14.59/3.30 # Search class: FGHSM-SMLM31-DFFFFFNN
% 14.59/3.30 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 14.59/3.30 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 174s (1) cores
% 14.59/3.30 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with pid 17246 completed with status 0
% 14.59/3.30 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y
% 14.59/3.30 # Preprocessing class: FMLLMLLLSSSNFFN.
% 14.59/3.30 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 14.59/3.30 # Starting new_bool_3 with 900s (3) cores
% 14.59/3.30 # Starting new_bool_1 with 900s (3) cores
% 14.59/3.30 # Starting sh5l with 300s (1) cores
% 14.59/3.30 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 300s (1) cores
% 14.59/3.30 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 14.59/3.30 # Search class: FGHSM-SMLM31-DFFFFFNN
% 14.59/3.30 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 14.59/3.30 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S0Y with 174s (1) cores
% 14.59/3.30 # Preprocessing time : 0.051 s
% 14.59/3.30 # Presaturation interreduction done
% 14.59/3.30
% 14.59/3.30 # Proof found!
% 14.59/3.30 # SZS status Theorem
% 14.59/3.30 # SZS output start CNFRefutation
% See solution above
% 14.59/3.30 # Parsed axioms : 34387
% 14.59/3.30 # Removed by relevancy pruning/SinE : 33721
% 14.59/3.30 # Initial clauses : 1630
% 14.59/3.30 # Removed in clause preprocessing : 48
% 14.59/3.30 # Initial clauses in saturation : 1582
% 14.59/3.30 # Processed clauses : 11410
% 14.59/3.30 # ...of these trivial : 92
% 14.59/3.30 # ...subsumed : 5489
% 14.59/3.30 # ...remaining for further processing : 5829
% 14.59/3.30 # Other redundant clauses eliminated : 142
% 14.59/3.30 # Clauses deleted for lack of memory : 0
% 14.59/3.30 # Backward-subsumed : 323
% 14.59/3.30 # Backward-rewritten : 119
% 14.59/3.30 # Generated clauses : 44950
% 14.59/3.30 # ...of the previous two non-redundant : 40164
% 14.59/3.30 # ...aggressively subsumed : 0
% 14.59/3.30 # Contextual simplify-reflections : 223
% 14.59/3.30 # Paramodulations : 44762
% 14.59/3.30 # Factorizations : 2
% 14.59/3.30 # NegExts : 0
% 14.59/3.30 # Equation resolutions : 153
% 14.59/3.30 # Disequality decompositions : 0
% 14.59/3.30 # Total rewrite steps : 12723
% 14.59/3.30 # ...of those cached : 11468
% 14.59/3.30 # Propositional unsat checks : 1
% 14.59/3.30 # Propositional check models : 0
% 14.59/3.30 # Propositional check unsatisfiable : 0
% 14.59/3.30 # Propositional clauses : 0
% 14.59/3.30 # Propositional clauses after purity: 0
% 14.59/3.30 # Propositional unsat core size : 0
% 14.59/3.30 # Propositional preprocessing time : 0.000
% 14.59/3.30 # Propositional encoding time : 0.028
% 14.59/3.30 # Propositional solver time : 0.019
% 14.59/3.30 # Success case prop preproc time : 0.000
% 14.59/3.30 # Success case prop encoding time : 0.000
% 14.59/3.30 # Success case prop solver time : 0.000
% 14.59/3.30 # Current number of processed clauses : 3806
% 14.59/3.30 # Positive orientable unit clauses : 429
% 14.59/3.30 # Positive unorientable unit clauses: 2
% 14.59/3.30 # Negative unit clauses : 613
% 14.59/3.30 # Non-unit-clauses : 2762
% 14.59/3.30 # Current number of unprocessed clauses: 31020
% 14.59/3.30 # ...number of literals in the above : 110474
% 14.59/3.30 # Current number of archived formulas : 0
% 14.59/3.30 # Current number of archived clauses : 1925
% 14.59/3.30 # Clause-clause subsumption calls (NU) : 2762370
% 14.59/3.30 # Rec. Clause-clause subsumption calls : 813355
% 14.59/3.30 # Non-unit clause-clause subsumptions : 1980
% 14.59/3.30 # Unit Clause-clause subsumption calls : 156871
% 14.59/3.30 # Rewrite failures with RHS unbound : 0
% 14.59/3.30 # BW rewrite match attempts : 247
% 14.59/3.30 # BW rewrite match successes : 127
% 14.59/3.30 # Condensation attempts : 0
% 14.59/3.30 # Condensation successes : 0
% 14.59/3.30 # Termbank termtop insertions : 1768259
% 14.59/3.30 # Search garbage collected termcells : 362801
% 14.59/3.30
% 14.59/3.30 # -------------------------------------------------
% 14.59/3.30 # User time : 1.846 s
% 14.59/3.30 # System time : 0.124 s
% 14.59/3.30 # Total time : 1.970 s
% 14.59/3.30 # Maximum resident set size: 67376 pages
% 14.59/3.30
% 14.59/3.30 # -------------------------------------------------
% 14.59/3.30 # User time : 2.665 s
% 14.59/3.30 # System time : 0.173 s
% 14.59/3.30 # Total time : 2.838 s
% 14.59/3.30 # Maximum resident set size: 53348 pages
% 14.59/3.30 % E---3.1 exiting
% 14.59/3.31 % E exiting
%------------------------------------------------------------------------------