TSTP Solution File: GEO058-2 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO058-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 17:31:18 EDT 2023
% Result : Unsatisfiable 0.19s 0.49s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 14 unt; 0 nHn; 12 RR)
% Number of literals : 26 ( 8 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 40 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(segment_construction2,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
file('/export/starexec/sandbox/tmp/tmp.IWipOIJEVs/E---3.1_24137.p',segment_construction2) ).
cnf(reflection,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
file('/export/starexec/sandbox/tmp/tmp.IWipOIJEVs/E---3.1_24137.p',reflection) ).
cnf(transitivity_for_equidistance,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.IWipOIJEVs/E---3.1_24137.p',transitivity_for_equidistance) ).
cnf(reflexivity_for_equidistance,axiom,
equidistant(X1,X2,X2,X1),
file('/export/starexec/sandbox/tmp/tmp.IWipOIJEVs/E---3.1_24137.p',reflexivity_for_equidistance) ).
cnf(v_equals_reflection,hypothesis,
v = reflection(u,v),
file('/export/starexec/sandbox/tmp/tmp.IWipOIJEVs/E---3.1_24137.p',v_equals_reflection) ).
cnf(identity_for_equidistance,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
file('/export/starexec/sandbox/tmp/tmp.IWipOIJEVs/E---3.1_24137.p',identity_for_equidistance) ).
cnf(prove_u_equals_v,negated_conjecture,
u != v,
file('/export/starexec/sandbox/tmp/tmp.IWipOIJEVs/E---3.1_24137.p',prove_u_equals_v) ).
cnf(c_0_7,axiom,
equidistant(X1,extension(X2,X1,X3,X4),X3,X4),
segment_construction2 ).
cnf(c_0_8,axiom,
reflection(X1,X2) = extension(X1,X2,X1,X2),
reflection ).
cnf(c_0_9,axiom,
( equidistant(X3,X4,X5,X6)
| ~ equidistant(X1,X2,X3,X4)
| ~ equidistant(X1,X2,X5,X6) ),
transitivity_for_equidistance ).
cnf(c_0_10,axiom,
equidistant(X1,X2,X2,X1),
reflexivity_for_equidistance ).
cnf(c_0_11,plain,
equidistant(X1,reflection(X2,X1),X2,X1),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_12,hypothesis,
v = reflection(u,v),
v_equals_reflection ).
cnf(c_0_13,plain,
( equidistant(X1,X2,X3,X4)
| ~ equidistant(X4,X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,hypothesis,
equidistant(v,v,u,v),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,axiom,
( X1 = X2
| ~ equidistant(X1,X2,X3,X3) ),
identity_for_equidistance ).
cnf(c_0_16,hypothesis,
equidistant(u,v,v,v),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
u != v,
prove_u_equals_v ).
cnf(c_0_18,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO058-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Oct 3 07:27:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order theorem proving
% 0.19/0.47 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.IWipOIJEVs/E---3.1_24137.p
% 0.19/0.49 # Version: 3.1pre001
% 0.19/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.49 # Starting sh5l with 300s (1) cores
% 0.19/0.49 # new_bool_3 with pid 24250 completed with status 0
% 0.19/0.49 # Result found by new_bool_3
% 0.19/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: FGUSM-FFSF33-SFFFFFNN
% 0.19/0.49 # partial match(1): FGUSM-FFMF33-SFFFFFNN
% 0.19/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 0.19/0.49 # G-E--_215_C46_F1_AE_CS_SP_PS_S2S with pid 24256 completed with status 0
% 0.19/0.49 # Result found by G-E--_215_C46_F1_AE_CS_SP_PS_S2S
% 0.19/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.49 # Search class: FGUSM-FFSF33-SFFFFFNN
% 0.19/0.49 # partial match(1): FGUSM-FFMF33-SFFFFFNN
% 0.19/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.49 # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 181s (1) cores
% 0.19/0.49 # Preprocessing time : 0.001 s
% 0.19/0.49 # Presaturation interreduction done
% 0.19/0.49
% 0.19/0.49 # Proof found!
% 0.19/0.49 # SZS status Unsatisfiable
% 0.19/0.49 # SZS output start CNFRefutation
% See solution above
% 0.19/0.49 # Parsed axioms : 21
% 0.19/0.49 # Removed by relevancy pruning/SinE : 10
% 0.19/0.49 # Initial clauses : 11
% 0.19/0.49 # Removed in clause preprocessing : 0
% 0.19/0.49 # Initial clauses in saturation : 11
% 0.19/0.49 # Processed clauses : 35
% 0.19/0.49 # ...of these trivial : 1
% 0.19/0.49 # ...subsumed : 0
% 0.19/0.49 # ...remaining for further processing : 34
% 0.19/0.49 # Other redundant clauses eliminated : 0
% 0.19/0.49 # Clauses deleted for lack of memory : 0
% 0.19/0.49 # Backward-subsumed : 0
% 0.19/0.49 # Backward-rewritten : 1
% 0.19/0.49 # Generated clauses : 39
% 0.19/0.49 # ...of the previous two non-redundant : 24
% 0.19/0.49 # ...aggressively subsumed : 0
% 0.19/0.49 # Contextual simplify-reflections : 0
% 0.19/0.49 # Paramodulations : 39
% 0.19/0.49 # Factorizations : 0
% 0.19/0.49 # NegExts : 0
% 0.19/0.49 # Equation resolutions : 0
% 0.19/0.49 # Total rewrite steps : 17
% 0.19/0.49 # Propositional unsat checks : 0
% 0.19/0.49 # Propositional check models : 0
% 0.19/0.49 # Propositional check unsatisfiable : 0
% 0.19/0.49 # Propositional clauses : 0
% 0.19/0.49 # Propositional clauses after purity: 0
% 0.19/0.49 # Propositional unsat core size : 0
% 0.19/0.49 # Propositional preprocessing time : 0.000
% 0.19/0.49 # Propositional encoding time : 0.000
% 0.19/0.49 # Propositional solver time : 0.000
% 0.19/0.49 # Success case prop preproc time : 0.000
% 0.19/0.49 # Success case prop encoding time : 0.000
% 0.19/0.49 # Success case prop solver time : 0.000
% 0.19/0.49 # Current number of processed clauses : 22
% 0.19/0.49 # Positive orientable unit clauses : 14
% 0.19/0.49 # Positive unorientable unit clauses: 0
% 0.19/0.49 # Negative unit clauses : 1
% 0.19/0.49 # Non-unit-clauses : 7
% 0.19/0.49 # Current number of unprocessed clauses: 11
% 0.19/0.49 # ...number of literals in the above : 26
% 0.19/0.49 # Current number of archived formulas : 0
% 0.19/0.49 # Current number of archived clauses : 12
% 0.19/0.49 # Clause-clause subsumption calls (NU) : 81
% 0.19/0.49 # Rec. Clause-clause subsumption calls : 38
% 0.19/0.49 # Non-unit clause-clause subsumptions : 0
% 0.19/0.49 # Unit Clause-clause subsumption calls : 3
% 0.19/0.49 # Rewrite failures with RHS unbound : 0
% 0.19/0.49 # BW rewrite match attempts : 29
% 0.19/0.49 # BW rewrite match successes : 1
% 0.19/0.49 # Condensation attempts : 0
% 0.19/0.49 # Condensation successes : 0
% 0.19/0.49 # Termbank termtop insertions : 668
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.002 s
% 0.19/0.49 # System time : 0.003 s
% 0.19/0.49 # Total time : 0.005 s
% 0.19/0.49 # Maximum resident set size: 1636 pages
% 0.19/0.49
% 0.19/0.49 # -------------------------------------------------
% 0.19/0.49 # User time : 0.005 s
% 0.19/0.49 # System time : 0.004 s
% 0.19/0.49 # Total time : 0.009 s
% 0.19/0.49 # Maximum resident set size: 1692 pages
% 0.19/0.49 % E---3.1 exiting
% 0.19/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------