TSTP Solution File: GEO523+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GEO523+1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n026.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 17:35:09 EDT 2023
% Result : Theorem 0.71s 0.56s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 15 unt; 0 def)
% Number of atoms : 95 ( 59 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 88 ( 33 ~; 48 |; 7 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 94 ( 0 sgn; 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(aSatz7_6,axiom,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
file('/export/starexec/sandbox/tmp/tmp.s3wieFnfmd/E---3.1_7838.p',aSatz7_6) ).
fof(aSatz10_4,conjecture,
! [X12,X15,X13,X37] :
( X12 = X15
| reflect(X12,X15,X13) != X37
| reflect(X12,X15,X37) = X13 ),
file('/export/starexec/sandbox/tmp/tmp.s3wieFnfmd/E---3.1_7838.p',aSatz10_4) ).
fof(aSatz7_18,axiom,
! [X12,X13,X15] :
( s(X12,X13) != s(X15,X13)
| X12 = X15 ),
file('/export/starexec/sandbox/tmp/tmp.s3wieFnfmd/E---3.1_7838.p',aSatz7_18) ).
fof(aSatz7_7,axiom,
! [X12,X13] : s(X12,s(X12,X13)) = X13,
file('/export/starexec/sandbox/tmp/tmp.s3wieFnfmd/E---3.1_7838.p',aSatz7_7) ).
fof(aSatz8_22,axiom,
! [X12,X15] : s_m(X12,midpoint(X12,X15),X15),
file('/export/starexec/sandbox/tmp/tmp.s3wieFnfmd/E---3.1_7838.p',aSatz8_22) ).
fof(aExtPerp4,axiom,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X12,X15,X16,X13) ),
file('/export/starexec/sandbox/tmp/tmp.s3wieFnfmd/E---3.1_7838.p',aExtPerp4) ).
fof(aSatz10_2a,axiom,
! [X12,X15,X13] :
( ( X12 = X15
| s_col(X12,X15,midpoint(X13,reflect(X12,X15,X13))) )
& ( X12 = X15
| X13 = reflect(X12,X15,X13)
| perp(X12,X15,X13,reflect(X12,X15,X13)) ) ),
file('/export/starexec/sandbox/tmp/tmp.s3wieFnfmd/E---3.1_7838.p',aSatz10_2a) ).
fof(aSatz10_2b,axiom,
! [X12,X15,X13,X37] :
( ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| ~ perp(X12,X15,X13,X37)
| X37 = reflect(X12,X15,X13) )
& ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| X13 != X37
| X37 = reflect(X12,X15,X13) ) ),
file('/export/starexec/sandbox/tmp/tmp.s3wieFnfmd/E---3.1_7838.p',aSatz10_2b) ).
fof(c_0_8,plain,
! [X13,X12,X16] :
( ~ s_m(X13,X12,X16)
| X16 = s(X12,X13) ),
inference(fof_simplification,[status(thm)],[aSatz7_6]) ).
fof(c_0_9,negated_conjecture,
~ ! [X12,X15,X13,X37] :
( X12 = X15
| reflect(X12,X15,X13) != X37
| reflect(X12,X15,X37) = X13 ),
inference(assume_negation,[status(cth)],[aSatz10_4]) ).
fof(c_0_10,plain,
! [X452,X453,X454] :
( s(X452,X453) != s(X454,X453)
| X452 = X454 ),
inference(variable_rename,[status(thm)],[aSatz7_18]) ).
fof(c_0_11,plain,
! [X414,X415] : s(X414,s(X414,X415)) = X415,
inference(variable_rename,[status(thm)],[aSatz7_7]) ).
fof(c_0_12,plain,
! [X411,X412,X413] :
( ~ s_m(X411,X412,X413)
| X413 = s(X412,X411) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_13,plain,
! [X605,X606] : s_m(X605,midpoint(X605,X606),X606),
inference(variable_rename,[status(thm)],[aSatz8_22]) ).
fof(c_0_14,plain,
! [X12,X15,X13,X16] :
( ~ perp(X12,X15,X13,X16)
| perp(X12,X15,X16,X13) ),
inference(fof_simplification,[status(thm)],[aExtPerp4]) ).
fof(c_0_15,plain,
! [X805,X806,X807] :
( ( X805 = X806
| s_col(X805,X806,midpoint(X807,reflect(X805,X806,X807))) )
& ( X805 = X806
| X807 = reflect(X805,X806,X807)
| perp(X805,X806,X807,reflect(X805,X806,X807)) ) ),
inference(variable_rename,[status(thm)],[aSatz10_2a]) ).
fof(c_0_16,negated_conjecture,
( esk1_0 != esk2_0
& reflect(esk1_0,esk2_0,esk3_0) = esk4_0
& reflect(esk1_0,esk2_0,esk4_0) != esk3_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
cnf(c_0_17,plain,
( X1 = X3
| s(X1,X2) != s(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
s(X1,s(X1,X2)) = X2,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_19,plain,
( X3 = s(X2,X1)
| ~ s_m(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
s_m(X1,midpoint(X1,X2),X2),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_21,plain,
! [X12,X15,X13,X37] :
( ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| ~ perp(X12,X15,X13,X37)
| X37 = reflect(X12,X15,X13) )
& ( X12 = X15
| ~ s_col(X12,X15,midpoint(X13,X37))
| X13 != X37
| X37 = reflect(X12,X15,X13) ) ),
inference(fof_simplification,[status(thm)],[aSatz10_2b]) ).
fof(c_0_22,plain,
! [X648,X649,X650,X651] :
( ~ perp(X648,X649,X650,X651)
| perp(X648,X649,X651,X650) ),
inference(variable_rename,[status(thm)],[c_0_14]) ).
cnf(c_0_23,plain,
( X1 = X2
| X3 = reflect(X1,X2,X3)
| perp(X1,X2,X3,reflect(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_24,negated_conjecture,
reflect(esk1_0,esk2_0,esk3_0) = esk4_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
esk1_0 != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( X1 = X2
| s(X1,s(X2,X3)) != X3 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_27,plain,
s(midpoint(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
fof(c_0_28,plain,
! [X808,X809,X810,X811] :
( ( X808 = X809
| ~ s_col(X808,X809,midpoint(X810,X811))
| ~ perp(X808,X809,X810,X811)
| X811 = reflect(X808,X809,X810) )
& ( X808 = X809
| ~ s_col(X808,X809,midpoint(X810,X811))
| X810 != X811
| X811 = reflect(X808,X809,X810) ) ),
inference(variable_rename,[status(thm)],[c_0_21]) ).
cnf(c_0_29,plain,
( perp(X1,X2,X4,X3)
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_30,negated_conjecture,
( esk4_0 = esk3_0
| perp(esk1_0,esk2_0,esk3_0,esk4_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).
cnf(c_0_31,plain,
midpoint(s(X1,X2),X2) = X1,
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27])]) ).
cnf(c_0_32,plain,
( X1 = X2
| s_col(X1,X2,midpoint(X3,reflect(X1,X2,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_33,plain,
( X1 = X2
| X4 = reflect(X1,X2,X3)
| ~ s_col(X1,X2,midpoint(X3,X4))
| ~ perp(X1,X2,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_34,negated_conjecture,
( esk4_0 = esk3_0
| perp(esk1_0,esk2_0,esk4_0,esk3_0) ),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_35,negated_conjecture,
reflect(esk1_0,esk2_0,esk4_0) != esk3_0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_36,plain,
midpoint(X1,X2) = midpoint(X2,X1),
inference(spm,[status(thm)],[c_0_31,c_0_27]) ).
cnf(c_0_37,negated_conjecture,
s_col(esk1_0,esk2_0,midpoint(esk3_0,esk4_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_25]) ).
cnf(c_0_38,negated_conjecture,
esk4_0 = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]),c_0_25]),c_0_36]),c_0_37])]) ).
cnf(c_0_39,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_38]),c_0_24]),c_0_38])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO523+1 : TPTP v8.1.2. Released v7.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Oct 3 06:33:44 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order model finding
% 0.20/0.47 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.s3wieFnfmd/E---3.1_7838.p
% 0.71/0.56 # Version: 3.1pre001
% 0.71/0.56 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.71/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.56 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.71/0.56 # Starting new_bool_3 with 300s (1) cores
% 0.71/0.56 # Starting new_bool_1 with 300s (1) cores
% 0.71/0.56 # Starting sh5l with 300s (1) cores
% 0.71/0.56 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 7974 completed with status 0
% 0.71/0.56 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.71/0.56 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.71/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.56 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.71/0.56 # No SInE strategy applied
% 0.71/0.56 # Search class: FGHSM-FSLF33-MFFFFFNN
% 0.71/0.56 # partial match(1): FGHSM-FSLM33-MFFFFFNN
% 0.71/0.56 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.71/0.56 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 405s (1) cores
% 0.71/0.56 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.71/0.56 # Starting G-E--_303_C18_F1_URBAN_S0Y with 330s (1) cores
% 0.71/0.56 # Starting Y1006__C12_02_nc_F1_AE_CS_SP_S2S with 136s (1) cores
% 0.71/0.56 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_S032N with 136s (1) cores
% 0.71/0.56 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 7995 completed with status 0
% 0.71/0.56 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 0.71/0.56 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.71/0.56 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.71/0.56 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.71/0.56 # No SInE strategy applied
% 0.71/0.56 # Search class: FGHSM-FSLF33-MFFFFFNN
% 0.71/0.56 # partial match(1): FGHSM-FSLM33-MFFFFFNN
% 0.71/0.56 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.71/0.56 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 405s (1) cores
% 0.71/0.56 # Preprocessing time : 0.005 s
% 0.71/0.56 # Presaturation interreduction done
% 0.71/0.56
% 0.71/0.56 # Proof found!
% 0.71/0.56 # SZS status Theorem
% 0.71/0.56 # SZS output start CNFRefutation
% See solution above
% 0.71/0.56 # Parsed axioms : 201
% 0.71/0.56 # Removed by relevancy pruning/SinE : 0
% 0.71/0.56 # Initial clauses : 294
% 0.71/0.56 # Removed in clause preprocessing : 1
% 0.71/0.56 # Initial clauses in saturation : 293
% 0.71/0.56 # Processed clauses : 668
% 0.71/0.56 # ...of these trivial : 25
% 0.71/0.56 # ...subsumed : 86
% 0.71/0.56 # ...remaining for further processing : 557
% 0.71/0.56 # Other redundant clauses eliminated : 38
% 0.71/0.56 # Clauses deleted for lack of memory : 0
% 0.71/0.56 # Backward-subsumed : 1
% 0.71/0.56 # Backward-rewritten : 28
% 0.71/0.56 # Generated clauses : 815
% 0.71/0.56 # ...of the previous two non-redundant : 579
% 0.71/0.56 # ...aggressively subsumed : 0
% 0.71/0.56 # Contextual simplify-reflections : 3
% 0.71/0.56 # Paramodulations : 772
% 0.71/0.56 # Factorizations : 2
% 0.71/0.56 # NegExts : 0
% 0.71/0.56 # Equation resolutions : 41
% 0.71/0.56 # Total rewrite steps : 333
% 0.71/0.56 # Propositional unsat checks : 0
% 0.71/0.56 # Propositional check models : 0
% 0.71/0.56 # Propositional check unsatisfiable : 0
% 0.71/0.56 # Propositional clauses : 0
% 0.71/0.56 # Propositional clauses after purity: 0
% 0.71/0.56 # Propositional unsat core size : 0
% 0.71/0.56 # Propositional preprocessing time : 0.000
% 0.71/0.56 # Propositional encoding time : 0.000
% 0.71/0.56 # Propositional solver time : 0.000
% 0.71/0.56 # Success case prop preproc time : 0.000
% 0.71/0.56 # Success case prop encoding time : 0.000
% 0.71/0.56 # Success case prop solver time : 0.000
% 0.71/0.56 # Current number of processed clauses : 244
% 0.71/0.56 # Positive orientable unit clauses : 36
% 0.71/0.56 # Positive unorientable unit clauses: 1
% 0.71/0.56 # Negative unit clauses : 18
% 0.71/0.56 # Non-unit-clauses : 189
% 0.71/0.56 # Current number of unprocessed clauses: 455
% 0.71/0.56 # ...number of literals in the above : 1260
% 0.71/0.56 # Current number of archived formulas : 0
% 0.71/0.56 # Current number of archived clauses : 297
% 0.71/0.56 # Clause-clause subsumption calls (NU) : 30884
% 0.71/0.56 # Rec. Clause-clause subsumption calls : 13021
% 0.71/0.56 # Non-unit clause-clause subsumptions : 67
% 0.71/0.56 # Unit Clause-clause subsumption calls : 161
% 0.71/0.56 # Rewrite failures with RHS unbound : 0
% 0.71/0.56 # BW rewrite match attempts : 137
% 0.71/0.56 # BW rewrite match successes : 16
% 0.71/0.56 # Condensation attempts : 0
% 0.71/0.56 # Condensation successes : 0
% 0.71/0.56 # Termbank termtop insertions : 29057
% 0.71/0.56
% 0.71/0.56 # -------------------------------------------------
% 0.71/0.56 # User time : 0.064 s
% 0.71/0.56 # System time : 0.005 s
% 0.71/0.56 # Total time : 0.069 s
% 0.71/0.56 # Maximum resident set size: 3424 pages
% 0.71/0.56
% 0.71/0.56 # -------------------------------------------------
% 0.71/0.56 # User time : 0.250 s
% 0.71/0.56 # System time : 0.023 s
% 0.71/0.56 # Total time : 0.272 s
% 0.71/0.56 # Maximum resident set size: 2064 pages
% 0.71/0.56 % E---3.1 exiting
%------------------------------------------------------------------------------