TSTP Solution File: GRP591-1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP591-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n023.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 17:49:33 EDT 2023
% Result : Unsatisfiable 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of clauses : 46 ( 46 unt; 0 nHn; 4 RR)
% Number of literals : 46 ( 45 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 101 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(X3))))),X2) = X3,
file('/export/starexec/sandbox/tmp/tmp.NWCi3gLmTa/E---3.1_23596.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
file('/export/starexec/sandbox/tmp/tmp.NWCi3gLmTa/E---3.1_23596.p',multiply) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/tmp/tmp.NWCi3gLmTa/E---3.1_23596.p',prove_these_axioms_3) ).
cnf(c_0_3,axiom,
double_divide(inverse(double_divide(double_divide(X1,X2),inverse(double_divide(X1,inverse(X3))))),X2) = X3,
single_axiom ).
cnf(c_0_4,axiom,
multiply(X1,X2) = inverse(double_divide(X2,X1)),
multiply ).
cnf(c_0_5,plain,
double_divide(multiply(multiply(inverse(X1),X2),double_divide(X2,X3)),X3) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_3,c_0_4]),c_0_4]) ).
cnf(c_0_6,plain,
double_divide(multiply(multiply(inverse(X1),multiply(multiply(inverse(X2),X3),double_divide(X3,X4))),X2),X4) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_7,plain,
multiply(X1,multiply(multiply(inverse(X2),X3),double_divide(X3,X1))) = inverse(X2),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_8,plain,
double_divide(multiply(inverse(X1),X1),inverse(X2)) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,plain,
multiply(inverse(X1),multiply(inverse(X2),X2)) = inverse(X1),
inference(spm,[status(thm)],[c_0_4,c_0_8]) ).
cnf(c_0_10,plain,
double_divide(inverse(multiply(inverse(X1),X1)),inverse(X2)) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_11,plain,
multiply(inverse(X1),inverse(multiply(inverse(X2),X2))) = inverse(X1),
inference(spm,[status(thm)],[c_0_9,c_0_9]) ).
cnf(c_0_12,plain,
multiply(inverse(X1),multiply(inverse(X2),X1)) = inverse(X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_10]),c_0_11]) ).
cnf(c_0_13,plain,
multiply(multiply(X1,X2),multiply(inverse(X3),X3)) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_9,c_0_4]) ).
cnf(c_0_14,plain,
multiply(inverse(multiply(inverse(X1),X2)),inverse(X1)) = inverse(X2),
inference(spm,[status(thm)],[c_0_12,c_0_12]) ).
cnf(c_0_15,plain,
multiply(X1,multiply(multiply(multiply(X2,X3),X4),double_divide(X4,X1))) = multiply(X2,X3),
inference(spm,[status(thm)],[c_0_7,c_0_4]) ).
cnf(c_0_16,plain,
multiply(multiply(X1,X2),inverse(multiply(inverse(X3),X3))) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_13,c_0_9]) ).
cnf(c_0_17,plain,
double_divide(multiply(inverse(X1),double_divide(multiply(multiply(inverse(X1),X2),double_divide(X2,inverse(X3))),X4)),X4) = X3,
inference(spm,[status(thm)],[c_0_5,c_0_7]) ).
cnf(c_0_18,plain,
inverse(multiply(inverse(multiply(inverse(X1),X1)),X2)) = inverse(X2),
inference(spm,[status(thm)],[c_0_11,c_0_14]) ).
cnf(c_0_19,plain,
multiply(inverse(X1),multiply(multiply(X2,X3),X1)) = multiply(X2,X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_10]),c_0_16]) ).
cnf(c_0_20,plain,
multiply(inverse(multiply(inverse(X1),X1)),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_17]) ).
cnf(c_0_21,plain,
double_divide(multiply(inverse(X1),X2),inverse(X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_10]),c_0_11]) ).
cnf(c_0_22,plain,
multiply(inverse(X1),multiply(X2,X1)) = X2,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,plain,
double_divide(X1,inverse(multiply(X1,X2))) = X2,
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_24,plain,
multiply(multiply(inverse(X1),X1),X2) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_23]) ).
cnf(c_0_25,plain,
multiply(X1,double_divide(X2,X1)) = inverse(X2),
inference(spm,[status(thm)],[c_0_7,c_0_24]) ).
cnf(c_0_26,plain,
multiply(multiply(X1,X2),inverse(X2)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_25]),c_0_4]) ).
cnf(c_0_27,plain,
multiply(X1,inverse(inverse(X2))) = multiply(X1,X2),
inference(spm,[status(thm)],[c_0_26,c_0_26]) ).
cnf(c_0_28,plain,
inverse(inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_27]),c_0_24]) ).
cnf(c_0_29,plain,
inverse(multiply(X1,X2)) = double_divide(X2,X1),
inference(spm,[status(thm)],[c_0_28,c_0_4]) ).
cnf(c_0_30,plain,
double_divide(X1,double_divide(X2,X1)) = X2,
inference(rw,[status(thm)],[c_0_23,c_0_29]) ).
cnf(c_0_31,plain,
double_divide(double_divide(X1,X2),X1) = X2,
inference(spm,[status(thm)],[c_0_30,c_0_30]) ).
cnf(c_0_32,plain,
multiply(X1,multiply(X2,inverse(X1))) = X2,
inference(spm,[status(thm)],[c_0_22,c_0_28]) ).
cnf(c_0_33,plain,
multiply(X1,X2) = multiply(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_31]),c_0_4]) ).
cnf(c_0_34,plain,
multiply(X1,multiply(inverse(X1),X2)) = X2,
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_35,plain,
multiply(X1,inverse(X2)) = double_divide(X2,inverse(X1)),
inference(spm,[status(thm)],[c_0_34,c_0_25]) ).
cnf(c_0_36,plain,
double_divide(inverse(X1),inverse(X2)) = multiply(X2,X1),
inference(spm,[status(thm)],[c_0_35,c_0_28]) ).
cnf(c_0_37,plain,
multiply(X1,multiply(multiply(X2,X3),double_divide(X3,X1))) = X2,
inference(spm,[status(thm)],[c_0_7,c_0_28]) ).
cnf(c_0_38,plain,
double_divide(inverse(X1),multiply(X1,X2)) = inverse(X2),
inference(spm,[status(thm)],[c_0_30,c_0_36]) ).
cnf(c_0_39,plain,
multiply(double_divide(X1,X2),multiply(multiply(X3,X2),X1)) = X3,
inference(spm,[status(thm)],[c_0_37,c_0_30]) ).
cnf(c_0_40,plain,
double_divide(multiply(X1,X2),X3) = double_divide(X2,multiply(X3,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_4]),c_0_29]) ).
cnf(c_0_41,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
prove_these_axioms_3 ).
cnf(c_0_42,plain,
multiply(multiply(X1,X2),X3) = multiply(X1,multiply(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_40]),c_0_4]) ).
cnf(c_0_43,negated_conjecture,
multiply(c3,multiply(a3,b3)) != multiply(a3,multiply(b3,c3)),
inference(rw,[status(thm)],[c_0_41,c_0_33]) ).
cnf(c_0_44,plain,
multiply(X1,multiply(X2,X3)) = multiply(X3,multiply(X1,X2)),
inference(spm,[status(thm)],[c_0_33,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP591-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n023.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
% 0.13/0.34 % CPULimit : 2400
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Oct 3 03:08:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order model finding
% 0.20/0.46 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/tmp/tmp.NWCi3gLmTa/E---3.1_23596.p
% 0.20/0.49 # Version: 3.1pre001
% 0.20/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49 # Starting sh5l with 300s (1) cores
% 0.20/0.49 # new_bool_3 with pid 23674 completed with status 0
% 0.20/0.49 # Result found by new_bool_3
% 0.20/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49 # Search class: FUUPS-FFSF21-DFFFFFNN
% 0.20/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.49 # SAT001_MinMin_p005000_rr_RG with pid 23678 completed with status 0
% 0.20/0.49 # Result found by SAT001_MinMin_p005000_rr_RG
% 0.20/0.49 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.49 # Search class: FUUPS-FFSF21-DFFFFFNN
% 0.20/0.49 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.49 # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.20/0.49 # Preprocessing time : 0.001 s
% 0.20/0.49 # Presaturation interreduction done
% 0.20/0.49
% 0.20/0.49 # Proof found!
% 0.20/0.49 # SZS status Unsatisfiable
% 0.20/0.49 # SZS output start CNFRefutation
% See solution above
% 0.20/0.49 # Parsed axioms : 3
% 0.20/0.49 # Removed by relevancy pruning/SinE : 0
% 0.20/0.49 # Initial clauses : 3
% 0.20/0.49 # Removed in clause preprocessing : 0
% 0.20/0.49 # Initial clauses in saturation : 3
% 0.20/0.49 # Processed clauses : 169
% 0.20/0.49 # ...of these trivial : 69
% 0.20/0.49 # ...subsumed : 26
% 0.20/0.49 # ...remaining for further processing : 74
% 0.20/0.49 # Other redundant clauses eliminated : 0
% 0.20/0.49 # Clauses deleted for lack of memory : 0
% 0.20/0.49 # Backward-subsumed : 0
% 0.20/0.49 # Backward-rewritten : 45
% 0.20/0.49 # Generated clauses : 1667
% 0.20/0.49 # ...of the previous two non-redundant : 1301
% 0.20/0.49 # ...aggressively subsumed : 0
% 0.20/0.49 # Contextual simplify-reflections : 0
% 0.20/0.49 # Paramodulations : 1667
% 0.20/0.49 # Factorizations : 0
% 0.20/0.49 # NegExts : 0
% 0.20/0.49 # Equation resolutions : 0
% 0.20/0.49 # Total rewrite steps : 1434
% 0.20/0.49 # Propositional unsat checks : 0
% 0.20/0.49 # Propositional check models : 0
% 0.20/0.49 # Propositional check unsatisfiable : 0
% 0.20/0.49 # Propositional clauses : 0
% 0.20/0.49 # Propositional clauses after purity: 0
% 0.20/0.49 # Propositional unsat core size : 0
% 0.20/0.49 # Propositional preprocessing time : 0.000
% 0.20/0.49 # Propositional encoding time : 0.000
% 0.20/0.49 # Propositional solver time : 0.000
% 0.20/0.49 # Success case prop preproc time : 0.000
% 0.20/0.49 # Success case prop encoding time : 0.000
% 0.20/0.49 # Success case prop solver time : 0.000
% 0.20/0.49 # Current number of processed clauses : 26
% 0.20/0.49 # Positive orientable unit clauses : 22
% 0.20/0.49 # Positive unorientable unit clauses: 4
% 0.20/0.49 # Negative unit clauses : 0
% 0.20/0.49 # Non-unit-clauses : 0
% 0.20/0.49 # Current number of unprocessed clauses: 997
% 0.20/0.49 # ...number of literals in the above : 997
% 0.20/0.49 # Current number of archived formulas : 0
% 0.20/0.49 # Current number of archived clauses : 48
% 0.20/0.49 # Clause-clause subsumption calls (NU) : 0
% 0.20/0.49 # Rec. Clause-clause subsumption calls : 0
% 0.20/0.49 # Non-unit clause-clause subsumptions : 0
% 0.20/0.49 # Unit Clause-clause subsumption calls : 13
% 0.20/0.49 # Rewrite failures with RHS unbound : 0
% 0.20/0.49 # BW rewrite match attempts : 164
% 0.20/0.49 # BW rewrite match successes : 117
% 0.20/0.49 # Condensation attempts : 0
% 0.20/0.49 # Condensation successes : 0
% 0.20/0.49 # Termbank termtop insertions : 13197
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.021 s
% 0.20/0.49 # System time : 0.001 s
% 0.20/0.49 # Total time : 0.022 s
% 0.20/0.49 # Maximum resident set size: 1424 pages
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.023 s
% 0.20/0.49 # System time : 0.002 s
% 0.20/0.49 # Total time : 0.025 s
% 0.20/0.49 # Maximum resident set size: 1672 pages
% 0.20/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------