TSTP Solution File: GEO040-3 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GEO040-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n001.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 17:31:13 EDT 2023
% Result : Unsatisfiable 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 18 ( 10 unt; 0 nHn; 18 RR)
% Number of literals : 30 ( 5 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-5 aty)
% Number of variables : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(inner_pasch2,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.cyF7qXFSft/E---3.1_28051.p',inner_pasch2) ).
cnf(u_between_v_and_w,hypothesis,
between(v,u,w),
file('/export/starexec/sandbox2/tmp/tmp.cyF7qXFSft/E---3.1_28051.p',u_between_v_and_w) ).
cnf(v_between_u_and_w,hypothesis,
between(u,v,w),
file('/export/starexec/sandbox2/tmp/tmp.cyF7qXFSft/E---3.1_28051.p',v_between_u_and_w) ).
cnf(inner_pasch1,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.cyF7qXFSft/E---3.1_28051.p',inner_pasch1) ).
cnf(identity_for_betweeness,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cyF7qXFSft/E---3.1_28051.p',identity_for_betweeness) ).
cnf(prove_u_is_v,negated_conjecture,
u != v,
file('/export/starexec/sandbox2/tmp/tmp.cyF7qXFSft/E---3.1_28051.p',prove_u_is_v) ).
cnf(c_0_6,axiom,
( between(X5,inner_pasch(X1,X2,X3,X5,X4),X1)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch2 ).
cnf(c_0_7,hypothesis,
between(v,u,w),
u_between_v_and_w ).
cnf(c_0_8,hypothesis,
( between(u,inner_pasch(X1,X2,w,u,v),X1)
| ~ between(X1,X2,w) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,hypothesis,
between(u,v,w),
v_between_u_and_w ).
cnf(c_0_10,axiom,
( between(X2,inner_pasch(X1,X2,X3,X5,X4),X4)
| ~ between(X1,X2,X3)
| ~ between(X4,X5,X3) ),
inner_pasch1 ).
cnf(c_0_11,axiom,
( X1 = X2
| ~ between(X1,X2,X1) ),
identity_for_betweeness ).
cnf(c_0_12,hypothesis,
between(u,inner_pasch(u,v,w,u,v),u),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
( between(X1,inner_pasch(X2,X1,w,u,v),v)
| ~ between(X2,X1,w) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_14,hypothesis,
inner_pasch(u,v,w,u,v) = u,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_15,hypothesis,
between(v,u,v),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_9]),c_0_14]) ).
cnf(c_0_16,negated_conjecture,
u != v,
prove_u_is_v ).
cnf(c_0_17,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_15]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO040-3 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n001.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 2400
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Oct 3 07:35:52 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.40 Running first-order theorem proving
% 0.15/0.40 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.cyF7qXFSft/E---3.1_28051.p
% 0.15/0.42 # Version: 3.1pre001
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42 # Starting sh5l with 300s (1) cores
% 0.15/0.42 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28130 completed with status 0
% 0.15/0.42 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # No SInE strategy applied
% 0.15/0.42 # Search class: FGUSM-FFMF33-SFFFFFNN
% 0.15/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.42 # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 811s (1) cores
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.42 # Starting new_bool_3 with 136s (1) cores
% 0.15/0.42 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.15/0.42 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 136s (1) cores
% 0.15/0.42 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 28141 completed with status 0
% 0.15/0.42 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.15/0.42 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.15/0.42 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.15/0.42 # No SInE strategy applied
% 0.15/0.42 # Search class: FGUSM-FFMF33-SFFFFFNN
% 0.15/0.42 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.42 # Starting G-E--_215_C46_F1_AE_CS_SP_PS_S2S with 811s (1) cores
% 0.15/0.42 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.15/0.42 # Starting new_bool_3 with 136s (1) cores
% 0.15/0.42 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S070I with 136s (1) cores
% 0.15/0.42 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 136s (1) cores
% 0.15/0.42 # Preprocessing time : 0.001 s
% 0.15/0.42 # Presaturation interreduction done
% 0.15/0.42
% 0.15/0.42 # Proof found!
% 0.15/0.42 # SZS status Unsatisfiable
% 0.15/0.42 # SZS output start CNFRefutation
% See solution above
% 0.15/0.42 # Parsed axioms : 50
% 0.15/0.42 # Removed by relevancy pruning/SinE : 0
% 0.15/0.42 # Initial clauses : 50
% 0.15/0.42 # Removed in clause preprocessing : 1
% 0.15/0.42 # Initial clauses in saturation : 49
% 0.15/0.42 # Processed clauses : 152
% 0.15/0.42 # ...of these trivial : 9
% 0.15/0.42 # ...subsumed : 12
% 0.15/0.42 # ...remaining for further processing : 131
% 0.15/0.42 # Other redundant clauses eliminated : 4
% 0.15/0.42 # Clauses deleted for lack of memory : 0
% 0.15/0.42 # Backward-subsumed : 0
% 0.15/0.42 # Backward-rewritten : 3
% 0.15/0.42 # Generated clauses : 474
% 0.15/0.42 # ...of the previous two non-redundant : 335
% 0.15/0.42 # ...aggressively subsumed : 0
% 0.15/0.42 # Contextual simplify-reflections : 0
% 0.15/0.42 # Paramodulations : 470
% 0.15/0.42 # Factorizations : 0
% 0.15/0.42 # NegExts : 0
% 0.15/0.42 # Equation resolutions : 4
% 0.15/0.42 # Total rewrite steps : 150
% 0.15/0.42 # Propositional unsat checks : 0
% 0.15/0.42 # Propositional check models : 0
% 0.15/0.42 # Propositional check unsatisfiable : 0
% 0.15/0.42 # Propositional clauses : 0
% 0.15/0.42 # Propositional clauses after purity: 0
% 0.15/0.42 # Propositional unsat core size : 0
% 0.15/0.42 # Propositional preprocessing time : 0.000
% 0.15/0.42 # Propositional encoding time : 0.000
% 0.15/0.42 # Propositional solver time : 0.000
% 0.15/0.42 # Success case prop preproc time : 0.000
% 0.15/0.42 # Success case prop encoding time : 0.000
% 0.15/0.42 # Success case prop solver time : 0.000
% 0.15/0.42 # Current number of processed clauses : 82
% 0.15/0.42 # Positive orientable unit clauses : 35
% 0.15/0.42 # Positive unorientable unit clauses: 0
% 0.15/0.42 # Negative unit clauses : 4
% 0.15/0.42 # Non-unit-clauses : 43
% 0.15/0.42 # Current number of unprocessed clauses: 275
% 0.15/0.42 # ...number of literals in the above : 591
% 0.15/0.42 # Current number of archived formulas : 0
% 0.15/0.42 # Current number of archived clauses : 47
% 0.15/0.42 # Clause-clause subsumption calls (NU) : 1409
% 0.15/0.42 # Rec. Clause-clause subsumption calls : 1054
% 0.15/0.42 # Non-unit clause-clause subsumptions : 12
% 0.15/0.42 # Unit Clause-clause subsumption calls : 18
% 0.15/0.42 # Rewrite failures with RHS unbound : 0
% 0.15/0.42 # BW rewrite match attempts : 177
% 0.15/0.42 # BW rewrite match successes : 3
% 0.15/0.42 # Condensation attempts : 0
% 0.15/0.42 # Condensation successes : 0
% 0.15/0.42 # Termbank termtop insertions : 6732
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.010 s
% 0.15/0.42 # System time : 0.003 s
% 0.15/0.42 # Total time : 0.013 s
% 0.15/0.42 # Maximum resident set size: 1724 pages
% 0.15/0.42
% 0.15/0.42 # -------------------------------------------------
% 0.15/0.42 # User time : 0.051 s
% 0.15/0.42 # System time : 0.015 s
% 0.15/0.42 # Total time : 0.066 s
% 0.15/0.42 # Maximum resident set size: 1708 pages
% 0.15/0.42 % E---3.1 exiting
% 0.15/0.42 % E---3.1 exiting
%------------------------------------------------------------------------------