TSTP Solution File: GRP584-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP584-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 17:42:12 EDT 2023
% Result : Unsatisfiable 0.16s 0.43s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of clauses : 37 ( 37 unt; 0 nHn; 6 RR)
% Number of literals : 37 ( 36 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 9 ( 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 : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity,axiom,
identity = double_divide(X1,inverse(X1)),
file('/export/starexec/sandbox/tmp/tmp.H5ExbOt9FJ/E---3.1_1289.p',identity) ).
cnf(inverse,axiom,
inverse(X1) = double_divide(X1,identity),
file('/export/starexec/sandbox/tmp/tmp.H5ExbOt9FJ/E---3.1_1289.p',inverse) ).
cnf(single_axiom,axiom,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),double_divide(identity,identity)) = X3,
file('/export/starexec/sandbox/tmp/tmp.H5ExbOt9FJ/E---3.1_1289.p',single_axiom) ).
cnf(prove_these_axioms_4,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox/tmp/tmp.H5ExbOt9FJ/E---3.1_1289.p',prove_these_axioms_4) ).
cnf(multiply,axiom,
multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
file('/export/starexec/sandbox/tmp/tmp.H5ExbOt9FJ/E---3.1_1289.p',multiply) ).
cnf(c_0_5,axiom,
identity = double_divide(X1,inverse(X1)),
identity ).
cnf(c_0_6,axiom,
inverse(X1) = double_divide(X1,identity),
inverse ).
cnf(c_0_7,axiom,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),double_divide(identity,identity)) = X3,
single_axiom ).
cnf(c_0_8,plain,
identity = double_divide(X1,double_divide(X1,identity)),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_9,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X1),identity)),double_divide(identity,identity)) = X1,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,plain,
double_divide(identity,identity) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_11,plain,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),identity) = X3,
inference(rw,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_12,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X1),identity)),identity) = X1,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_13,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X1,identity))),identity) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_10]),c_0_10]) ).
cnf(c_0_14,plain,
double_divide(double_divide(identity,X1),identity) = double_divide(identity,double_divide(X1,identity)),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_15,plain,
double_divide(double_divide(identity,X1),double_divide(identity,double_divide(X1,identity))) = identity,
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_16,plain,
double_divide(identity,double_divide(identity,double_divide(double_divide(X1,identity),identity))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14]),c_0_14]) ).
cnf(c_0_17,plain,
double_divide(double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1)))),X3) = identity,
inference(spm,[status(thm)],[c_0_8,c_0_11]) ).
cnf(c_0_18,plain,
double_divide(double_divide(double_divide(X1,identity),identity),identity) = double_divide(identity,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_15]),c_0_10]),c_0_10]) ).
cnf(c_0_19,plain,
double_divide(X1,double_divide(double_divide(identity,X2),double_divide(identity,double_divide(X2,X1)))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_8]),c_0_10]) ).
cnf(c_0_20,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,X1),identity)),X1) = identity,
inference(spm,[status(thm)],[c_0_8,c_0_12]) ).
cnf(c_0_21,plain,
double_divide(identity,double_divide(identity,double_divide(identity,X1))) = double_divide(X1,identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_16]),c_0_14]),c_0_18]) ).
cnf(c_0_22,plain,
double_divide(identity,double_divide(double_divide(double_divide(identity,double_divide(X1,double_divide(double_divide(identity,X2),double_divide(X3,double_divide(X2,X1))))),double_divide(X4,X3)),identity)) = X4,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_11]),c_0_14]) ).
cnf(c_0_23,plain,
double_divide(X1,double_divide(identity,X1)) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_14]),c_0_21]),c_0_10]),c_0_18]) ).
cnf(c_0_24,plain,
double_divide(double_divide(X1,identity),identity) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_14]),c_0_11]),c_0_14]),c_0_14]),c_0_21]) ).
cnf(c_0_25,plain,
double_divide(X1,identity) = double_divide(identity,X1),
inference(rw,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_26,negated_conjecture,
multiply(a,b) != multiply(b,a),
prove_these_axioms_4 ).
cnf(c_0_27,axiom,
multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
multiply ).
cnf(c_0_28,plain,
double_divide(double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1)))),identity) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_8]),c_0_10]) ).
cnf(c_0_29,plain,
double_divide(double_divide(X1,identity),X1) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_23]),c_0_10]),c_0_10]) ).
cnf(c_0_30,plain,
double_divide(identity,double_divide(X1,identity)) = X1,
inference(rw,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,negated_conjecture,
double_divide(double_divide(b,a),identity) != double_divide(double_divide(a,b),identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27]),c_0_27]) ).
cnf(c_0_32,plain,
double_divide(identity,double_divide(X1,double_divide(identity,double_divide(X2,double_divide(identity,X1))))) = X2,
inference(rw,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_33,plain,
double_divide(double_divide(X1,X2),double_divide(identity,double_divide(X2,X1))) = identity,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_29]),c_0_14]),c_0_30]),c_0_25]) ).
cnf(c_0_34,negated_conjecture,
double_divide(identity,double_divide(a,b)) != double_divide(identity,double_divide(b,a)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_25]),c_0_25]) ).
cnf(c_0_35,plain,
double_divide(X1,X2) = double_divide(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_10]),c_0_30]) ).
cnf(c_0_36,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_35])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : GRP584-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.10/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 2400
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue Oct 3 02:35:04 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.41 Running first-order theorem proving
% 0.16/0.41 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.H5ExbOt9FJ/E---3.1_1289.p
% 0.16/0.43 # Version: 3.1pre001
% 0.16/0.43 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.43 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.43 # Starting sh5l with 300s (1) cores
% 0.16/0.43 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 1367 completed with status 0
% 0.16/0.43 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.16/0.43 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.43 # No SInE strategy applied
% 0.16/0.43 # Search class: FUUPS-FFSF22-MFFFFFNN
% 0.16/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 811s (1) cores
% 0.16/0.43 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.16/0.43 # Starting new_bool_3 with 136s (1) cores
% 0.16/0.43 # Starting new_bool_1 with 136s (1) cores
% 0.16/0.43 # Starting sh5l with 136s (1) cores
% 0.16/0.43 # G-E--_208_C18_F1_AE_CS_SP_S0Y with pid 1373 completed with status 0
% 0.16/0.43 # Result found by G-E--_208_C18_F1_AE_CS_SP_S0Y
% 0.16/0.43 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.43 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.43 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.43 # No SInE strategy applied
% 0.16/0.43 # Search class: FUUPS-FFSF22-MFFFFFNN
% 0.16/0.43 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.16/0.43 # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 811s (1) cores
% 0.16/0.43 # Preprocessing time : 0.001 s
% 0.16/0.43
% 0.16/0.43 # Proof found!
% 0.16/0.43 # SZS status Unsatisfiable
% 0.16/0.43 # SZS output start CNFRefutation
% See solution above
% 0.16/0.43 # Parsed axioms : 5
% 0.16/0.43 # Removed by relevancy pruning/SinE : 0
% 0.16/0.43 # Initial clauses : 5
% 0.16/0.43 # Removed in clause preprocessing : 2
% 0.16/0.43 # Initial clauses in saturation : 3
% 0.16/0.43 # Processed clauses : 64
% 0.16/0.43 # ...of these trivial : 28
% 0.16/0.43 # ...subsumed : 2
% 0.16/0.43 # ...remaining for further processing : 34
% 0.16/0.43 # Other redundant clauses eliminated : 0
% 0.16/0.43 # Clauses deleted for lack of memory : 0
% 0.16/0.43 # Backward-subsumed : 1
% 0.16/0.43 # Backward-rewritten : 24
% 0.16/0.43 # Generated clauses : 646
% 0.16/0.43 # ...of the previous two non-redundant : 310
% 0.16/0.43 # ...aggressively subsumed : 0
% 0.16/0.43 # Contextual simplify-reflections : 0
% 0.16/0.43 # Paramodulations : 646
% 0.16/0.43 # Factorizations : 0
% 0.16/0.43 # NegExts : 0
% 0.16/0.43 # Equation resolutions : 0
% 0.16/0.43 # Total rewrite steps : 1197
% 0.16/0.43 # Propositional unsat checks : 0
% 0.16/0.43 # Propositional check models : 0
% 0.16/0.43 # Propositional check unsatisfiable : 0
% 0.16/0.43 # Propositional clauses : 0
% 0.16/0.43 # Propositional clauses after purity: 0
% 0.16/0.43 # Propositional unsat core size : 0
% 0.16/0.43 # Propositional preprocessing time : 0.000
% 0.16/0.43 # Propositional encoding time : 0.000
% 0.16/0.43 # Propositional solver time : 0.000
% 0.16/0.43 # Success case prop preproc time : 0.000
% 0.16/0.43 # Success case prop encoding time : 0.000
% 0.16/0.43 # Success case prop solver time : 0.000
% 0.16/0.43 # Current number of processed clauses : 9
% 0.16/0.43 # Positive orientable unit clauses : 8
% 0.16/0.43 # Positive unorientable unit clauses: 1
% 0.16/0.43 # Negative unit clauses : 0
% 0.16/0.43 # Non-unit-clauses : 0
% 0.16/0.43 # Current number of unprocessed clauses: 229
% 0.16/0.43 # ...number of literals in the above : 229
% 0.16/0.43 # Current number of archived formulas : 0
% 0.16/0.43 # Current number of archived clauses : 27
% 0.16/0.43 # Clause-clause subsumption calls (NU) : 0
% 0.16/0.43 # Rec. Clause-clause subsumption calls : 0
% 0.16/0.43 # Non-unit clause-clause subsumptions : 0
% 0.16/0.43 # Unit Clause-clause subsumption calls : 16
% 0.16/0.43 # Rewrite failures with RHS unbound : 0
% 0.16/0.43 # BW rewrite match attempts : 110
% 0.16/0.43 # BW rewrite match successes : 72
% 0.16/0.43 # Condensation attempts : 0
% 0.16/0.43 # Condensation successes : 0
% 0.16/0.43 # Termbank termtop insertions : 9070
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.005 s
% 0.16/0.43 # System time : 0.002 s
% 0.16/0.43 # Total time : 0.007 s
% 0.16/0.43 # Maximum resident set size: 1560 pages
% 0.16/0.43
% 0.16/0.43 # -------------------------------------------------
% 0.16/0.43 # User time : 0.027 s
% 0.16/0.43 # System time : 0.008 s
% 0.16/0.43 # Total time : 0.034 s
% 0.16/0.43 # Maximum resident set size: 1672 pages
% 0.16/0.43 % E---3.1 exiting
% 0.16/0.43 % E---3.1 exiting
%------------------------------------------------------------------------------