TSTP Solution File: GRP096-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP096-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.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 : 300s
% WCLimit : 300s
% DateTime : Mon May 20 20:53:22 EDT 2024
% Result : Unsatisfiable 0.19s 0.53s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of clauses : 38 ( 33 unt; 0 nHn; 7 RR)
% Number of literals : 51 ( 50 equ; 19 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(divide(X1,inverse(divide(X2,divide(X1,X3)))),X3) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
cnf(c_0_3,axiom,
divide(divide(X1,inverse(divide(X2,divide(X1,X3)))),X3) = X2,
single_axiom ).
cnf(c_0_4,axiom,
multiply(X1,X2) = divide(X1,inverse(X2)),
multiply ).
cnf(c_0_5,plain,
divide(multiply(X1,divide(X2,divide(X1,X3))),X3) = X2,
inference(rw,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,plain,
multiply(X1,divide(X2,divide(X1,divide(X3,X4)))) = divide(multiply(X3,X2),X4),
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_7,plain,
divide(divide(multiply(X1,X2),X3),divide(X1,X3)) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
divide(multiply(multiply(X1,X2),X3),multiply(X1,X3)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_4]),c_0_4]) ).
cnf(c_0_9,plain,
divide(X1,divide(multiply(X2,X1),multiply(X2,X3))) = X3,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
divide(multiply(multiply(X1,X2),X3),multiply(X1,X4)) = multiply(X2,divide(X3,X4)),
inference(spm,[status(thm)],[c_0_6,c_0_9]) ).
cnf(c_0_11,plain,
multiply(multiply(X1,divide(X2,multiply(X1,X3))),X3) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_5]),c_0_4]) ).
cnf(c_0_12,plain,
multiply(X1,divide(X2,X2)) = X1,
inference(rw,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_13,plain,
multiply(X1,divide(X2,X1)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_12]) ).
cnf(c_0_14,plain,
multiply(inverse(X1),multiply(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_4]) ).
cnf(c_0_15,plain,
multiply(X1,multiply(inverse(X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_4]) ).
cnf(c_0_16,plain,
multiply(inverse(multiply(inverse(X1),X1)),X2) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
multiply(divide(X1,X2),X2) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_16]),c_0_16]) ).
cnf(c_0_18,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_4]) ).
cnf(c_0_19,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
inference(fof_simplification,[status(thm)],[prove_these_axioms]) ).
cnf(c_0_20,plain,
multiply(X1,inverse(inverse(X2))) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_18,c_0_18]) ).
cnf(c_0_21,plain,
multiply(inverse(multiply(X1,X2)),X1) = inverse(X2),
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_22,plain,
multiply(inverse(X1),X2) = divide(X2,X1),
inference(spm,[status(thm)],[c_0_14,c_0_17]) ).
cnf(c_0_23,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| multiply(a4,b4) != multiply(b4,a4) ),
c_0_19 ).
cnf(c_0_24,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_20]),c_0_7]) ).
cnf(c_0_25,plain,
divide(multiply(X1,X2),X3) = multiply(divide(X1,X3),X2),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_26,plain,
divide(X1,multiply(X1,X2)) = inverse(X2),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_27,negated_conjecture,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != divide(b1,b1)
| multiply(divide(b2,b2),a2) != a2
| multiply(a4,b4) != multiply(b4,a4) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_22]),c_0_22]),c_0_22]) ).
cnf(c_0_28,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_24]),c_0_4]) ).
cnf(c_0_29,plain,
divide(X1,divide(X1,X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_16]),c_0_16]) ).
cnf(c_0_30,plain,
divide(X1,divide(X2,X2)) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_17]) ).
cnf(c_0_31,plain,
multiply(divide(X1,X2),X3) = multiply(X1,divide(X3,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_25]),c_0_25]),c_0_26]),c_0_22]) ).
cnf(c_0_32,negated_conjecture,
( multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3))
| divide(a1,a1) != divide(b1,b1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_28]),c_0_12]),c_0_28])]) ).
cnf(c_0_33,plain,
divide(X1,X1) = divide(X2,X2),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_34,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X3,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_4]),c_0_4]) ).
cnf(c_0_35,negated_conjecture,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(sr,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_36,plain,
multiply(X1,multiply(X2,X3)) = multiply(X2,multiply(X1,X3)),
inference(spm,[status(thm)],[c_0_28,c_0_34]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_36]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP096-1 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.03/0.14 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n021.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 05:14:07 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 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 --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.53 # Version: 3.1.0
% 0.19/0.53 # Preprocessing class: FSSSSMSMSSSNFFN.
% 0.19/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.19/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.53 # Starting sh5l with 300s (1) cores
% 0.19/0.53 # sh5l with pid 7699 completed with status 0
% 0.19/0.53 # Result found by sh5l
% 0.19/0.53 # Preprocessing class: FSSSSMSMSSSNFFN.
% 0.19/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.19/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.53 # Starting sh5l with 300s (1) cores
% 0.19/0.53 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.53 # Search class: FUHPS-FFSF21-MFFFFFNN
% 0.19/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.53 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.53 # SAT001_MinMin_p005000_rr_RG with pid 7706 completed with status 0
% 0.19/0.53 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.19/0.53 # Preprocessing class: FSSSSMSMSSSNFFN.
% 0.19/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.53 # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.19/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.53 # Starting sh5l with 300s (1) cores
% 0.19/0.53 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.19/0.53 # Search class: FUHPS-FFSF21-MFFFFFNN
% 0.19/0.53 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.53 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.19/0.53 # Preprocessing time : 0.001 s
% 0.19/0.53 # Presaturation interreduction done
% 0.19/0.53
% 0.19/0.53 # Proof found!
% 0.19/0.53 # SZS status Unsatisfiable
% 0.19/0.53 # SZS output start CNFRefutation
% See solution above
% 0.19/0.53 # Parsed axioms : 3
% 0.19/0.53 # Removed by relevancy pruning/SinE : 0
% 0.19/0.53 # Initial clauses : 3
% 0.19/0.53 # Removed in clause preprocessing : 0
% 0.19/0.53 # Initial clauses in saturation : 3
% 0.19/0.53 # Processed clauses : 451
% 0.19/0.53 # ...of these trivial : 108
% 0.19/0.53 # ...subsumed : 245
% 0.19/0.53 # ...remaining for further processing : 98
% 0.19/0.53 # Other redundant clauses eliminated : 0
% 0.19/0.53 # Clauses deleted for lack of memory : 0
% 0.19/0.53 # Backward-subsumed : 5
% 0.19/0.53 # Backward-rewritten : 54
% 0.19/0.53 # Generated clauses : 3498
% 0.19/0.53 # ...of the previous two non-redundant : 2672
% 0.19/0.53 # ...aggressively subsumed : 0
% 0.19/0.53 # Contextual simplify-reflections : 0
% 0.19/0.53 # Paramodulations : 3497
% 0.19/0.53 # Factorizations : 0
% 0.19/0.53 # NegExts : 0
% 0.19/0.53 # Equation resolutions : 0
% 0.19/0.53 # Disequality decompositions : 0
% 0.19/0.53 # Total rewrite steps : 4650
% 0.19/0.53 # ...of those cached : 2668
% 0.19/0.53 # Propositional unsat checks : 0
% 0.19/0.53 # Propositional check models : 0
% 0.19/0.53 # Propositional check unsatisfiable : 0
% 0.19/0.53 # Propositional clauses : 0
% 0.19/0.53 # Propositional clauses after purity: 0
% 0.19/0.53 # Propositional unsat core size : 0
% 0.19/0.53 # Propositional preprocessing time : 0.000
% 0.19/0.53 # Propositional encoding time : 0.000
% 0.19/0.53 # Propositional solver time : 0.000
% 0.19/0.53 # Success case prop preproc time : 0.000
% 0.19/0.53 # Success case prop encoding time : 0.000
% 0.19/0.53 # Success case prop solver time : 0.000
% 0.19/0.53 # Current number of processed clauses : 35
% 0.19/0.53 # Positive orientable unit clauses : 23
% 0.19/0.53 # Positive unorientable unit clauses: 12
% 0.19/0.53 # Negative unit clauses : 0
% 0.19/0.53 # Non-unit-clauses : 0
% 0.19/0.53 # Current number of unprocessed clauses: 906
% 0.19/0.53 # ...number of literals in the above : 906
% 0.19/0.53 # Current number of archived formulas : 0
% 0.19/0.53 # Current number of archived clauses : 63
% 0.19/0.53 # Clause-clause subsumption calls (NU) : 0
% 0.19/0.53 # Rec. Clause-clause subsumption calls : 0
% 0.19/0.53 # Non-unit clause-clause subsumptions : 0
% 0.19/0.53 # Unit Clause-clause subsumption calls : 81
% 0.19/0.53 # Rewrite failures with RHS unbound : 0
% 0.19/0.53 # BW rewrite match attempts : 358
% 0.19/0.53 # BW rewrite match successes : 229
% 0.19/0.53 # Condensation attempts : 0
% 0.19/0.53 # Condensation successes : 0
% 0.19/0.53 # Termbank termtop insertions : 35354
% 0.19/0.53 # Search garbage collected termcells : 11
% 0.19/0.53
% 0.19/0.53 # -------------------------------------------------
% 0.19/0.53 # User time : 0.044 s
% 0.19/0.53 # System time : 0.008 s
% 0.19/0.53 # Total time : 0.052 s
% 0.19/0.53 # Maximum resident set size: 1648 pages
% 0.19/0.53
% 0.19/0.53 # -------------------------------------------------
% 0.19/0.53 # User time : 0.045 s
% 0.19/0.53 # System time : 0.009 s
% 0.19/0.53 # Total time : 0.055 s
% 0.19/0.53 # Maximum resident set size: 1692 pages
% 0.19/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------