TSTP Solution File: GRP106-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP106-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 : Sat May 4 07:56:33 EDT 2024
% Result : Unsatisfiable 0.22s 0.54s
% Output : CNFRefutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 3
% Syntax : Number of clauses : 35 ( 31 unt; 0 nHn; 6 RR)
% Number of literals : 46 ( 45 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 7 ( 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 : 74 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(X3,X2)))))) = X3,
file('/export/starexec/sandbox2/tmp/tmp.SNyozxWASf/E---3.1_18389.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
file('/export/starexec/sandbox2/tmp/tmp.SNyozxWASf/E---3.1_18389.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/sandbox2/tmp/tmp.SNyozxWASf/E---3.1_18389.p',prove_these_axioms) ).
cnf(c_0_3,axiom,
inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(double_divide(X3,X2)))))) = X3,
single_axiom ).
cnf(c_0_4,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
multiply ).
cnf(c_0_5,plain,
multiply(multiply(multiply(X1,X2),X3),double_divide(X3,X1)) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_4]),c_0_4]) ).
cnf(c_0_6,plain,
multiply(X1,double_divide(double_divide(X2,X3),multiply(X3,X1))) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_7,plain,
multiply(multiply(X1,X2),double_divide(X2,multiply(multiply(X3,X1),X4))) = double_divide(X4,X3),
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_8,plain,
double_divide(multiply(X1,double_divide(X2,multiply(X3,X1))),X3) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
double_divide(double_divide(multiply(X1,X2),X3),multiply(X3,X1)) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,plain,
multiply(multiply(X1,X2),double_divide(multiply(X2,X3),X1)) = inverse(X3),
inference(spm,[status(thm)],[c_0_4,c_0_9]) ).
cnf(c_0_11,plain,
multiply(X1,multiply(X2,double_divide(X3,multiply(X1,X2)))) = inverse(X3),
inference(spm,[status(thm)],[c_0_4,c_0_8]) ).
cnf(c_0_12,plain,
multiply(inverse(X1),double_divide(double_divide(multiply(X2,X1),X3),X3)) = X2,
inference(spm,[status(thm)],[c_0_5,c_0_10]) ).
cnf(c_0_13,plain,
multiply(multiply(X1,inverse(X2)),multiply(X3,X2)) = multiply(X1,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_4]) ).
cnf(c_0_14,plain,
multiply(multiply(X1,multiply(X2,X3)),X4) = multiply(X1,multiply(multiply(X2,X4),X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_5]),c_0_4]) ).
cnf(c_0_15,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_13]),c_0_13]) ).
cnf(c_0_16,plain,
multiply(X1,multiply(X2,multiply(X3,double_divide(X3,X1)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_15]),c_0_15]) ).
cnf(c_0_17,plain,
multiply(X1,multiply(double_divide(X2,X1),multiply(X3,X2))) = X3,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_6]),c_0_15]) ).
cnf(c_0_18,plain,
double_divide(double_divide(X1,X2),X2) = X1,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_19,plain,
multiply(X1,multiply(X2,inverse(X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_11]),c_0_15]) ).
cnf(c_0_20,plain,
multiply(inverse(X1),multiply(X2,X1)) = X2,
inference(rw,[status(thm)],[c_0_12,c_0_18]) ).
cnf(c_0_21,plain,
inverse(inverse(X1)) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_22,plain,
multiply(X1,multiply(inverse(X2),X2)) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_21]) ).
cnf(c_0_23,plain,
double_divide(X1,X2) = inverse(multiply(X2,X1)),
inference(spm,[status(thm)],[c_0_21,c_0_4]) ).
cnf(c_0_24,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_25,plain,
multiply(X1,inverse(multiply(X1,X2))) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_22]),c_0_23]) ).
cnf(c_0_26,plain,
inverse(multiply(X1,inverse(multiply(X2,X1)))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_22]),c_0_23]) ).
cnf(c_0_27,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_24 ).
cnf(c_0_28,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_21]) ).
cnf(c_0_29,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(inverse(b2),multiply(b2,a2)) != a2
| multiply(a4,b4) != multiply(b4,a4) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_15]),c_0_15])]) ).
cnf(c_0_30,plain,
multiply(X1,multiply(X2,inverse(X1))) = X2,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_31,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_28]),c_0_15]) ).
cnf(c_0_32,negated_conjecture,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_28]),c_0_28]),c_0_28]),c_0_15]),c_0_30]),c_0_28])]) ).
cnf(c_0_33,plain,
multiply(X1,inverse(X1)) = multiply(X2,inverse(X2)),
inference(spm,[status(thm)],[c_0_31,c_0_19]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_32,c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP106-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.15/0.35 % Computer : n013.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 16:19:38 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.22/0.51 Running first-order model finding
% 0.22/0.51 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.SNyozxWASf/E---3.1_18389.p
% 0.22/0.54 # Version: 3.1.0
% 0.22/0.54 # Preprocessing class: FSSSSMSMSSSNFFN.
% 0.22/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.22/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.54 # Starting sh5l with 300s (1) cores
% 0.22/0.54 # new_bool_1 with pid 18522 completed with status 0
% 0.22/0.54 # Result found by new_bool_1
% 0.22/0.54 # Preprocessing class: FSSSSMSMSSSNFFN.
% 0.22/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.22/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.54 # Search class: FUHPS-FFSF21-DFFFFFNN
% 0.22/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.54 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.54 # SAT001_MinMin_p005000_rr_RG with pid 18528 completed with status 0
% 0.22/0.54 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.22/0.54 # Preprocessing class: FSSSSMSMSSSNFFN.
% 0.22/0.54 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.22/0.54 # Starting G----_0031_C18_F1_SE_CS_SP_S0Y with 1500s (5) cores
% 0.22/0.54 # Starting new_bool_3 with 300s (1) cores
% 0.22/0.54 # Starting new_bool_1 with 300s (1) cores
% 0.22/0.54 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.22/0.54 # Search class: FUHPS-FFSF21-DFFFFFNN
% 0.22/0.54 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.22/0.54 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.22/0.54 # Preprocessing time : 0.002 s
% 0.22/0.54 # Presaturation interreduction done
% 0.22/0.54
% 0.22/0.54 # Proof found!
% 0.22/0.54 # SZS status Unsatisfiable
% 0.22/0.54 # SZS output start CNFRefutation
% See solution above
% 0.22/0.54 # Parsed axioms : 3
% 0.22/0.54 # Removed by relevancy pruning/SinE : 0
% 0.22/0.54 # Initial clauses : 3
% 0.22/0.54 # Removed in clause preprocessing : 0
% 0.22/0.54 # Initial clauses in saturation : 3
% 0.22/0.54 # Processed clauses : 90
% 0.22/0.54 # ...of these trivial : 33
% 0.22/0.54 # ...subsumed : 14
% 0.22/0.54 # ...remaining for further processing : 43
% 0.22/0.54 # Other redundant clauses eliminated : 0
% 0.22/0.54 # Clauses deleted for lack of memory : 0
% 0.22/0.54 # Backward-subsumed : 1
% 0.22/0.54 # Backward-rewritten : 17
% 0.22/0.54 # Generated clauses : 808
% 0.22/0.54 # ...of the previous two non-redundant : 645
% 0.22/0.54 # ...aggressively subsumed : 0
% 0.22/0.54 # Contextual simplify-reflections : 0
% 0.22/0.54 # Paramodulations : 807
% 0.22/0.54 # Factorizations : 0
% 0.22/0.54 # NegExts : 0
% 0.22/0.54 # Equation resolutions : 0
% 0.22/0.54 # Disequality decompositions : 0
% 0.22/0.54 # Total rewrite steps : 955
% 0.22/0.54 # ...of those cached : 393
% 0.22/0.54 # Propositional unsat checks : 0
% 0.22/0.54 # Propositional check models : 0
% 0.22/0.54 # Propositional check unsatisfiable : 0
% 0.22/0.54 # Propositional clauses : 0
% 0.22/0.54 # Propositional clauses after purity: 0
% 0.22/0.54 # Propositional unsat core size : 0
% 0.22/0.54 # Propositional preprocessing time : 0.000
% 0.22/0.54 # Propositional encoding time : 0.000
% 0.22/0.54 # Propositional solver time : 0.000
% 0.22/0.54 # Success case prop preproc time : 0.000
% 0.22/0.54 # Success case prop encoding time : 0.000
% 0.22/0.54 # Success case prop solver time : 0.000
% 0.22/0.54 # Current number of processed clauses : 21
% 0.22/0.54 # Positive orientable unit clauses : 19
% 0.22/0.54 # Positive unorientable unit clauses: 2
% 0.22/0.54 # Negative unit clauses : 0
% 0.22/0.54 # Non-unit-clauses : 0
% 0.22/0.54 # Current number of unprocessed clauses: 536
% 0.22/0.54 # ...number of literals in the above : 536
% 0.22/0.54 # Current number of archived formulas : 0
% 0.22/0.54 # Current number of archived clauses : 22
% 0.22/0.54 # Clause-clause subsumption calls (NU) : 0
% 0.22/0.54 # Rec. Clause-clause subsumption calls : 0
% 0.22/0.54 # Non-unit clause-clause subsumptions : 0
% 0.22/0.54 # Unit Clause-clause subsumption calls : 17
% 0.22/0.54 # Rewrite failures with RHS unbound : 0
% 0.22/0.54 # BW rewrite match attempts : 122
% 0.22/0.54 # BW rewrite match successes : 90
% 0.22/0.54 # Condensation attempts : 0
% 0.22/0.54 # Condensation successes : 0
% 0.22/0.54 # Termbank termtop insertions : 7508
% 0.22/0.54 # Search garbage collected termcells : 11
% 0.22/0.54
% 0.22/0.54 # -------------------------------------------------
% 0.22/0.54 # User time : 0.019 s
% 0.22/0.54 # System time : 0.002 s
% 0.22/0.54 # Total time : 0.021 s
% 0.22/0.54 # Maximum resident set size: 1632 pages
% 0.22/0.54
% 0.22/0.54 # -------------------------------------------------
% 0.22/0.54 # User time : 0.023 s
% 0.22/0.54 # System time : 0.003 s
% 0.22/0.54 # Total time : 0.026 s
% 0.22/0.54 # Maximum resident set size: 1688 pages
% 0.22/0.54 % E---3.1 exiting
%------------------------------------------------------------------------------