TSTP Solution File: GRP043-2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP043-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 17:43:36 EDT 2023
% Result : Unsatisfiable 0.18s 0.48s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 20 ( 10 unt; 0 nHn; 18 RR)
% Number of literals : 36 ( 0 equ; 18 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 31 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(product_substitution3,axiom,
( product(X3,X4,X2)
| ~ equalish(X1,X2)
| ~ product(X3,X4,X1) ),
file('/export/starexec/sandbox2/tmp/tmp.cvNbhc9I9y/E---3.1_8177.p',product_substitution3) ).
cnf(left_identity,axiom,
product(identity,X1,X1),
file('/export/starexec/sandbox2/tmp/tmp.cvNbhc9I9y/E---3.1_8177.p',left_identity) ).
cnf(total_function2,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.cvNbhc9I9y/E---3.1_8177.p',total_function2) ).
cnf(b_equals_c,hypothesis,
equalish(b,c),
file('/export/starexec/sandbox2/tmp/tmp.cvNbhc9I9y/E---3.1_8177.p',b_equals_c) ).
cnf(a_equals_b,hypothesis,
equalish(a,b),
file('/export/starexec/sandbox2/tmp/tmp.cvNbhc9I9y/E---3.1_8177.p',a_equals_b) ).
cnf(prove_transitivity,negated_conjecture,
~ equalish(a,c),
file('/export/starexec/sandbox2/tmp/tmp.cvNbhc9I9y/E---3.1_8177.p',prove_transitivity) ).
cnf(c_0_6,axiom,
( product(X3,X4,X2)
| ~ equalish(X1,X2)
| ~ product(X3,X4,X1) ),
product_substitution3 ).
cnf(c_0_7,axiom,
product(identity,X1,X1),
left_identity ).
cnf(c_0_8,axiom,
( equalish(X3,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
total_function2 ).
cnf(c_0_9,plain,
( product(identity,X1,X2)
| ~ equalish(X1,X2) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
( equalish(X1,X2)
| ~ equalish(X3,X2)
| ~ product(identity,X3,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
( equalish(X1,X2)
| ~ product(identity,X2,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_12,plain,
( equalish(X1,X2)
| ~ equalish(X3,X2)
| ~ equalish(X3,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
cnf(c_0_13,hypothesis,
equalish(b,c),
b_equals_c ).
cnf(c_0_14,plain,
( equalish(X1,X2)
| ~ equalish(X2,X1) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_15,hypothesis,
equalish(a,b),
a_equals_b ).
cnf(c_0_16,hypothesis,
( equalish(X1,c)
| ~ equalish(b,X1) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
equalish(b,a),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
~ equalish(a,c),
prove_transitivity ).
cnf(c_0_19,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP043-2 : TPTP v8.1.2. Released v1.0.0.
% 0.10/0.13 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 2400
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Oct 3 03:03:14 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.47 Running first-order model finding
% 0.18/0.47 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.cvNbhc9I9y/E---3.1_8177.p
% 0.18/0.48 # Version: 3.1pre001
% 0.18/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48 # Starting new_bool_3 with 300s (1) cores
% 0.18/0.48 # Starting new_bool_1 with 300s (1) cores
% 0.18/0.48 # Starting sh5l with 300s (1) cores
% 0.18/0.48 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8276 completed with status 0
% 0.18/0.48 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48 # No SInE strategy applied
% 0.18/0.48 # Search class: FHUNS-FFSF21-SFFFFFNN
% 0.18/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.18/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.48 # Starting new_bool_3 with 136s (1) cores
% 0.18/0.48 # Starting new_bool_1 with 136s (1) cores
% 0.18/0.48 # Starting sh5l with 136s (1) cores
% 0.18/0.48 # G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with pid 8280 completed with status 0
% 0.18/0.48 # Result found by G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN
% 0.18/0.48 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.48 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.48 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.48 # No SInE strategy applied
% 0.18/0.48 # Search class: FHUNS-FFSF21-SFFFFFNN
% 0.18/0.48 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.48 # Starting G-E--_208_C12_00_F1_SE_CS_PI_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.18/0.48 # Preprocessing time : 0.002 s
% 0.18/0.48 # Presaturation interreduction done
% 0.18/0.48
% 0.18/0.48 # Proof found!
% 0.18/0.48 # SZS status Unsatisfiable
% 0.18/0.48 # SZS output start CNFRefutation
% See solution above
% 0.18/0.48 # Parsed axioms : 10
% 0.18/0.48 # Removed by relevancy pruning/SinE : 0
% 0.18/0.48 # Initial clauses : 10
% 0.18/0.48 # Removed in clause preprocessing : 0
% 0.18/0.48 # Initial clauses in saturation : 10
% 0.18/0.48 # Processed clauses : 35
% 0.18/0.48 # ...of these trivial : 0
% 0.18/0.48 # ...subsumed : 1
% 0.18/0.48 # ...remaining for further processing : 34
% 0.18/0.48 # Other redundant clauses eliminated : 0
% 0.18/0.48 # Clauses deleted for lack of memory : 0
% 0.18/0.48 # Backward-subsumed : 0
% 0.18/0.48 # Backward-rewritten : 0
% 0.18/0.48 # Generated clauses : 48
% 0.18/0.48 # ...of the previous two non-redundant : 36
% 0.18/0.48 # ...aggressively subsumed : 0
% 0.18/0.48 # Contextual simplify-reflections : 0
% 0.18/0.48 # Paramodulations : 48
% 0.18/0.48 # Factorizations : 0
% 0.18/0.48 # NegExts : 0
% 0.18/0.48 # Equation resolutions : 0
% 0.18/0.48 # Total rewrite steps : 10
% 0.18/0.48 # Propositional unsat checks : 0
% 0.18/0.48 # Propositional check models : 0
% 0.18/0.48 # Propositional check unsatisfiable : 0
% 0.18/0.48 # Propositional clauses : 0
% 0.18/0.48 # Propositional clauses after purity: 0
% 0.18/0.48 # Propositional unsat core size : 0
% 0.18/0.48 # Propositional preprocessing time : 0.000
% 0.18/0.48 # Propositional encoding time : 0.000
% 0.18/0.48 # Propositional solver time : 0.000
% 0.18/0.48 # Success case prop preproc time : 0.000
% 0.18/0.48 # Success case prop encoding time : 0.000
% 0.18/0.48 # Success case prop solver time : 0.000
% 0.18/0.48 # Current number of processed clauses : 24
% 0.18/0.48 # Positive orientable unit clauses : 9
% 0.18/0.48 # Positive unorientable unit clauses: 0
% 0.18/0.48 # Negative unit clauses : 1
% 0.18/0.48 # Non-unit-clauses : 14
% 0.18/0.48 # Current number of unprocessed clauses: 21
% 0.18/0.48 # ...number of literals in the above : 57
% 0.18/0.48 # Current number of archived formulas : 0
% 0.18/0.48 # Current number of archived clauses : 10
% 0.18/0.48 # Clause-clause subsumption calls (NU) : 21
% 0.18/0.48 # Rec. Clause-clause subsumption calls : 20
% 0.18/0.48 # Non-unit clause-clause subsumptions : 1
% 0.18/0.48 # Unit Clause-clause subsumption calls : 2
% 0.18/0.48 # Rewrite failures with RHS unbound : 0
% 0.18/0.48 # BW rewrite match attempts : 9
% 0.18/0.48 # BW rewrite match successes : 0
% 0.18/0.48 # Condensation attempts : 0
% 0.18/0.48 # Condensation successes : 0
% 0.18/0.48 # Termbank termtop insertions : 673
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.006 s
% 0.18/0.48 # System time : 0.002 s
% 0.18/0.48 # Total time : 0.008 s
% 0.18/0.48 # Maximum resident set size: 1588 pages
% 0.18/0.48
% 0.18/0.48 # -------------------------------------------------
% 0.18/0.48 # User time : 0.026 s
% 0.18/0.48 # System time : 0.007 s
% 0.18/0.48 # Total time : 0.032 s
% 0.18/0.48 # Maximum resident set size: 1672 pages
% 0.18/0.48 % E---3.1 exiting
%------------------------------------------------------------------------------