TSTP Solution File: GRP478-1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP478-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 17:48:41 EDT 2023
% Result : Unsatisfiable 0.15s 0.44s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of clauses : 23 ( 23 unt; 0 nHn; 4 RR)
% Number of literals : 23 ( 22 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(inverse(divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4)))),X4) = X3,
file('/export/starexec/sandbox2/tmp/tmp.lMDa5DGut4/E---3.1_849.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/tmp/tmp.lMDa5DGut4/E---3.1_849.p',prove_these_axioms_1) ).
cnf(multiply,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
file('/export/starexec/sandbox2/tmp/tmp.lMDa5DGut4/E---3.1_849.p',multiply) ).
cnf(c_0_3,axiom,
divide(inverse(divide(divide(divide(X1,X1),X2),divide(X3,divide(X2,X4)))),X4) = X3,
single_axiom ).
cnf(c_0_4,plain,
divide(inverse(divide(divide(divide(X1,X1),X2),X3)),X4) = inverse(divide(divide(divide(X5,X5),X6),divide(X3,divide(X6,divide(X2,X4))))),
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_5,plain,
divide(divide(inverse(divide(divide(divide(X1,X1),X2),X3)),X4),divide(X2,X4)) = X3,
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
inverse(divide(divide(divide(X1,X1),X2),X3)) = inverse(divide(divide(divide(X4,X4),X2),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_3]) ).
cnf(c_0_7,plain,
divide(divide(inverse(divide(X1,X2)),X3),divide(divide(X4,inverse(divide(divide(divide(X5,X5),X4),X1))),X3)) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_8,plain,
inverse(divide(divide(divide(X1,X1),divide(X2,inverse(divide(divide(divide(X3,X3),X2),X4)))),X5)) = inverse(divide(X4,X5)),
inference(spm,[status(thm)],[c_0_6,c_0_5]) ).
cnf(c_0_9,plain,
inverse(divide(divide(divide(X1,X1),divide(inverse(divide(X2,X3)),X4)),divide(X5,X3))) = divide(inverse(divide(X2,X5)),X4),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_7]),c_0_8]) ).
cnf(c_0_10,plain,
divide(inverse(divide(X1,divide(X2,divide(divide(X3,inverse(divide(divide(divide(X4,X4),X3),X1))),X5)))),X5) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_11,plain,
divide(inverse(divide(X1,X2)),inverse(divide(divide(divide(X3,X3),inverse(divide(X1,X4))),X5))) = inverse(divide(X5,divide(X2,X4))),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
divide(inverse(divide(X1,divide(X2,divide(inverse(divide(X1,divide(X3,X3))),X4)))),X4) = X2,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_13,plain,
divide(inverse(divide(divide(divide(X1,X1),inverse(divide(divide(divide(X2,X2),X3),divide(X4,divide(X3,X5))))),divide(X6,X4))),X5) = X6,
inference(spm,[status(thm)],[c_0_3,c_0_3]) ).
cnf(c_0_14,plain,
divide(X1,divide(inverse(divide(divide(divide(X2,X2),X3),divide(X4,X4))),X5)) = divide(X1,divide(X3,X5)),
inference(spm,[status(thm)],[c_0_5,c_0_12]) ).
cnf(c_0_15,plain,
divide(divide(inverse(divide(X1,X2)),X3),divide(inverse(divide(X1,divide(X4,X4))),X3)) = X2,
inference(spm,[status(thm)],[c_0_7,c_0_11]) ).
cnf(c_0_16,plain,
inverse(divide(divide(divide(X1,X1),X2),divide(X3,X3))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_13]) ).
cnf(c_0_17,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
prove_these_axioms_1 ).
cnf(c_0_18,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
multiply ).
cnf(c_0_19,plain,
divide(divide(X1,X2),divide(X1,X2)) = divide(X3,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_16]) ).
cnf(c_0_20,negated_conjecture,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_18]) ).
cnf(c_0_21,plain,
divide(X1,X1) = divide(X2,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_19]),c_0_5]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP478-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.11 % Command : run_E %s %d THM
% 0.10/0.31 % Computer : n005.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 2400
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Oct 3 02:20:31 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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.lMDa5DGut4/E---3.1_849.p
% 0.15/0.44 # Version: 3.1pre001
% 0.15/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 # Starting sh5l with 300s (1) cores
% 0.15/0.44 # new_bool_1 with pid 934 completed with status 0
% 0.15/0.44 # Result found by new_bool_1
% 0.15/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44 # Search class: FUUPS-FFSF21-MFFFFFNN
% 0.15/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44 # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.15/0.44 # U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 938 completed with status 0
% 0.15/0.44 # Result found by U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.15/0.44 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.44 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.44 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.44 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.44 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.44 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.44 # Search class: FUUPS-FFSF21-MFFFFFNN
% 0.15/0.44 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.44 # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 163s (1) cores
% 0.15/0.44 # Preprocessing time : 0.001 s
% 0.15/0.44 # Presaturation interreduction done
% 0.15/0.44
% 0.15/0.44 # Proof found!
% 0.15/0.44 # SZS status Unsatisfiable
% 0.15/0.44 # SZS output start CNFRefutation
% See solution above
% 0.15/0.44 # Parsed axioms : 3
% 0.15/0.44 # Removed by relevancy pruning/SinE : 0
% 0.15/0.44 # Initial clauses : 3
% 0.15/0.44 # Removed in clause preprocessing : 0
% 0.15/0.44 # Initial clauses in saturation : 3
% 0.15/0.44 # Processed clauses : 58
% 0.15/0.44 # ...of these trivial : 8
% 0.15/0.44 # ...subsumed : 21
% 0.15/0.44 # ...remaining for further processing : 29
% 0.15/0.44 # Other redundant clauses eliminated : 0
% 0.15/0.44 # Clauses deleted for lack of memory : 0
% 0.15/0.44 # Backward-subsumed : 1
% 0.15/0.44 # Backward-rewritten : 2
% 0.15/0.44 # Generated clauses : 1825
% 0.15/0.44 # ...of the previous two non-redundant : 1168
% 0.15/0.44 # ...aggressively subsumed : 0
% 0.15/0.44 # Contextual simplify-reflections : 0
% 0.15/0.44 # Paramodulations : 1825
% 0.15/0.44 # Factorizations : 0
% 0.15/0.44 # NegExts : 0
% 0.15/0.44 # Equation resolutions : 0
% 0.15/0.44 # Total rewrite steps : 642
% 0.15/0.44 # Propositional unsat checks : 0
% 0.15/0.44 # Propositional check models : 0
% 0.15/0.44 # Propositional check unsatisfiable : 0
% 0.15/0.44 # Propositional clauses : 0
% 0.15/0.44 # Propositional clauses after purity: 0
% 0.15/0.44 # Propositional unsat core size : 0
% 0.15/0.44 # Propositional preprocessing time : 0.000
% 0.15/0.44 # Propositional encoding time : 0.000
% 0.15/0.44 # Propositional solver time : 0.000
% 0.15/0.44 # Success case prop preproc time : 0.000
% 0.15/0.44 # Success case prop encoding time : 0.000
% 0.15/0.44 # Success case prop solver time : 0.000
% 0.15/0.44 # Current number of processed clauses : 23
% 0.15/0.44 # Positive orientable unit clauses : 20
% 0.15/0.44 # Positive unorientable unit clauses: 3
% 0.15/0.44 # Negative unit clauses : 0
% 0.15/0.44 # Non-unit-clauses : 0
% 0.15/0.44 # Current number of unprocessed clauses: 1115
% 0.15/0.44 # ...number of literals in the above : 1115
% 0.15/0.44 # Current number of archived formulas : 0
% 0.15/0.44 # Current number of archived clauses : 6
% 0.15/0.44 # Clause-clause subsumption calls (NU) : 0
% 0.15/0.44 # Rec. Clause-clause subsumption calls : 0
% 0.15/0.44 # Non-unit clause-clause subsumptions : 0
% 0.15/0.44 # Unit Clause-clause subsumption calls : 61
% 0.15/0.44 # Rewrite failures with RHS unbound : 0
% 0.15/0.44 # BW rewrite match attempts : 231
% 0.15/0.44 # BW rewrite match successes : 25
% 0.15/0.44 # Condensation attempts : 0
% 0.15/0.44 # Condensation successes : 0
% 0.15/0.44 # Termbank termtop insertions : 23724
% 0.15/0.44
% 0.15/0.44 # -------------------------------------------------
% 0.15/0.44 # User time : 0.017 s
% 0.15/0.44 # System time : 0.003 s
% 0.15/0.44 # Total time : 0.020 s
% 0.15/0.44 # Maximum resident set size: 1428 pages
% 0.15/0.44
% 0.15/0.44 # -------------------------------------------------
% 0.15/0.44 # User time : 0.019 s
% 0.15/0.44 # System time : 0.003 s
% 0.15/0.44 # Total time : 0.022 s
% 0.15/0.44 # Maximum resident set size: 1672 pages
% 0.15/0.44 % E---3.1 exiting
%------------------------------------------------------------------------------