TSTP Solution File: GRP080-1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP080-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n001.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 17:45:14 EDT 2023
% Result : Unsatisfiable 0.19s 0.61s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of clauses : 43 ( 37 unt; 0 nHn; 11 RR)
% Number of literals : 53 ( 52 equ; 19 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 65 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(identity,axiom,
identity = double_divide(X1,inverse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.ionu5YJyOw/E---3.1_5260.p',identity) ).
cnf(inverse,axiom,
inverse(X1) = double_divide(X1,identity),
file('/export/starexec/sandbox2/tmp/tmp.ionu5YJyOw/E---3.1_5260.p',inverse) ).
cnf(single_axiom,axiom,
double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),double_divide(double_divide(X2,double_divide(X3,X1)),identity)) = X3,
file('/export/starexec/sandbox2/tmp/tmp.ionu5YJyOw/E---3.1_5260.p',single_axiom) ).
cnf(prove_these_axioms,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/tmp/tmp.ionu5YJyOw/E---3.1_5260.p',prove_these_axioms) ).
cnf(multiply,axiom,
multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
file('/export/starexec/sandbox2/tmp/tmp.ionu5YJyOw/E---3.1_5260.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,plain,
identity = double_divide(X1,double_divide(X1,identity)),
inference(rw,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,axiom,
double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),double_divide(double_divide(X2,double_divide(X3,X1)),identity)) = X3,
single_axiom ).
cnf(c_0_9,plain,
double_divide(identity,identity) = identity,
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,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_8,c_0_7]),c_0_9]) ).
cnf(c_0_11,plain,
double_divide(double_divide(identity,double_divide(identity,double_divide(X1,identity))),X1) = identity,
inference(spm,[status(thm)],[c_0_7,c_0_10]) ).
cnf(c_0_12,plain,
double_divide(double_divide(identity,double_divide(X1,double_divide(X2,X1))),identity) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_11]),c_0_10]),c_0_9]) ).
cnf(c_0_13,plain,
double_divide(double_divide(identity,double_divide(double_divide(X1,X2),identity)),X1) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_12]),c_0_9]) ).
cnf(c_0_14,plain,
double_divide(double_divide(identity,double_divide(double_divide(double_divide(X1,double_divide(X2,X3)),identity),double_divide(X4,identity))),double_divide(double_divide(X4,X2),identity)) = double_divide(identity,double_divide(X3,double_divide(X1,identity))),
inference(spm,[status(thm)],[c_0_8,c_0_8]) ).
cnf(c_0_15,plain,
double_divide(identity,X1) = double_divide(X1,identity),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_7]),c_0_9]),c_0_9]) ).
cnf(c_0_16,negated_conjecture,
( multiply(inverse(a1),a1) != identity
| multiply(identity,a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
prove_these_axioms ).
cnf(c_0_17,axiom,
multiply(X1,X2) = double_divide(double_divide(X2,X1),identity),
multiply ).
cnf(c_0_18,plain,
double_divide(double_divide(identity,double_divide(X1,double_divide(X2,X1))),X2) = identity,
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_19,plain,
double_divide(double_divide(identity,double_divide(double_divide(identity,double_divide(X1,double_divide(X2,X3))),double_divide(X4,identity))),double_divide(identity,double_divide(X4,X2))) = double_divide(identity,double_divide(X3,double_divide(X1,identity))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15]) ).
cnf(c_0_20,negated_conjecture,
( double_divide(double_divide(a2,identity),identity) != a2
| double_divide(double_divide(a1,double_divide(a1,identity)),identity) != identity
| double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity) != double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) ),
inference(rw,[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_16,c_0_6]),c_0_17]),c_0_17]),c_0_17]),c_0_17]),c_0_17]),c_0_17]) ).
cnf(c_0_21,plain,
double_divide(identity,double_divide(identity,double_divide(X1,double_divide(X2,X1)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_9]),c_0_9]) ).
cnf(c_0_22,plain,
double_divide(identity,double_divide(X1,double_divide(X2,identity))) = double_divide(X2,double_divide(identity,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_9]),c_0_9]),c_0_9]),c_0_13]) ).
cnf(c_0_23,negated_conjecture,
( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)
| double_divide(double_divide(a2,identity),identity) != a2
| double_divide(identity,identity) != identity ),
inference(rw,[status(thm)],[c_0_20,c_0_7]) ).
cnf(c_0_24,plain,
double_divide(identity,double_divide(X1,identity)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_9]) ).
cnf(c_0_25,negated_conjecture,
( double_divide(double_divide(double_divide(double_divide(c3,b3),identity),a3),identity) != double_divide(double_divide(c3,double_divide(double_divide(b3,a3),identity)),identity)
| double_divide(double_divide(a2,identity),identity) != a2 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_9])]) ).
cnf(c_0_26,plain,
double_divide(identity,double_divide(identity,X1)) = X1,
inference(spm,[status(thm)],[c_0_21,c_0_24]) ).
cnf(c_0_27,plain,
double_divide(double_divide(identity,double_divide(X1,double_divide(X2,identity))),double_divide(identity,double_divide(X2,double_divide(X3,X1)))) = X3,
inference(rw,[status(thm)],[c_0_8,c_0_15]) ).
cnf(c_0_28,negated_conjecture,
( double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3))))
| double_divide(identity,double_divide(identity,a2)) != a2 ),
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_25,c_0_15]),c_0_15]),c_0_15]),c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_29,plain,
double_divide(double_divide(X1,X2),X1) = X2,
inference(rw,[status(thm)],[c_0_13,c_0_24]) ).
cnf(c_0_30,plain,
double_divide(X1,double_divide(X2,X1)) = X2,
inference(rw,[status(thm)],[c_0_21,c_0_26]) ).
cnf(c_0_31,plain,
double_divide(double_divide(X1,double_divide(identity,X2)),double_divide(identity,double_divide(X1,double_divide(X3,X2)))) = X3,
inference(rw,[status(thm)],[c_0_27,c_0_22]) ).
cnf(c_0_32,negated_conjecture,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(identity,double_divide(c3,double_divide(identity,double_divide(b3,a3)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_26])]) ).
cnf(c_0_33,plain,
double_divide(identity,double_divide(X1,double_divide(identity,X2))) = double_divide(X2,double_divide(identity,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_15]) ).
cnf(c_0_34,plain,
double_divide(double_divide(identity,X1),double_divide(identity,X2)) = double_divide(identity,double_divide(X2,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_29]) ).
cnf(c_0_35,plain,
double_divide(double_divide(identity,double_divide(X1,double_divide(X2,X3))),X2) = double_divide(X1,double_divide(identity,X3)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
double_divide(identity,double_divide(double_divide(identity,double_divide(c3,b3)),a3)) != double_divide(double_divide(b3,a3),double_divide(identity,c3)),
inference(rw,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,plain,
double_divide(identity,double_divide(double_divide(identity,X1),X2)) = double_divide(double_divide(identity,X2),X1),
inference(spm,[status(thm)],[c_0_34,c_0_26]) ).
cnf(c_0_38,plain,
double_divide(double_divide(identity,X1),double_divide(X2,identity)) = double_divide(identity,double_divide(X2,X1)),
inference(spm,[status(thm)],[c_0_34,c_0_15]) ).
cnf(c_0_39,plain,
double_divide(double_divide(identity,double_divide(X1,X2)),X3) = double_divide(X1,double_divide(identity,double_divide(X2,X3))),
inference(spm,[status(thm)],[c_0_35,c_0_30]) ).
cnf(c_0_40,negated_conjecture,
double_divide(double_divide(b3,a3),double_divide(identity,c3)) != double_divide(double_divide(identity,a3),double_divide(c3,b3)),
inference(rw,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_41,plain,
double_divide(double_divide(identity,X1),double_divide(X2,X3)) = double_divide(double_divide(X3,X1),double_divide(identity,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_30]),c_0_39]),c_0_33]) ).
cnf(c_0_42,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP080-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.11/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n001.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 02:56:37 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.47 Running first-order model finding
% 0.19/0.47 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.ionu5YJyOw/E---3.1_5260.p
% 0.19/0.61 # Version: 3.1pre001
% 0.19/0.61 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.61 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.61 # Starting new_bool_3 with 300s (1) cores
% 0.19/0.61 # Starting new_bool_1 with 300s (1) cores
% 0.19/0.61 # Starting sh5l with 300s (1) cores
% 0.19/0.61 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 5337 completed with status 0
% 0.19/0.61 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.19/0.61 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.61 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.61 # No SInE strategy applied
% 0.19/0.61 # Search class: FUHPS-FFSF22-MFFFFFNN
% 0.19/0.61 # partial match(1): FUUPS-FFSF22-MFFFFFNN
% 0.19/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.61 # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 811s (1) cores
% 0.19/0.61 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.19/0.61 # Starting new_bool_3 with 136s (1) cores
% 0.19/0.61 # Starting new_bool_1 with 136s (1) cores
% 0.19/0.61 # Starting sh5l with 136s (1) cores
% 0.19/0.61 # G-E--_208_C18_F1_AE_CS_SP_S0Y with pid 5342 completed with status 0
% 0.19/0.61 # Result found by G-E--_208_C18_F1_AE_CS_SP_S0Y
% 0.19/0.61 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.19/0.61 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.61 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.19/0.61 # No SInE strategy applied
% 0.19/0.61 # Search class: FUHPS-FFSF22-MFFFFFNN
% 0.19/0.61 # partial match(1): FUUPS-FFSF22-MFFFFFNN
% 0.19/0.61 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.19/0.61 # Starting G-E--_208_C18_F1_AE_CS_SP_S0Y with 811s (1) cores
% 0.19/0.61 # Preprocessing time : 0.001 s
% 0.19/0.61
% 0.19/0.61 # Proof found!
% 0.19/0.61 # SZS status Unsatisfiable
% 0.19/0.61 # SZS output start CNFRefutation
% See solution above
% 0.19/0.61 # Parsed axioms : 5
% 0.19/0.61 # Removed by relevancy pruning/SinE : 0
% 0.19/0.61 # Initial clauses : 5
% 0.19/0.61 # Removed in clause preprocessing : 2
% 0.19/0.61 # Initial clauses in saturation : 3
% 0.19/0.61 # Processed clauses : 818
% 0.19/0.61 # ...of these trivial : 312
% 0.19/0.61 # ...subsumed : 399
% 0.19/0.61 # ...remaining for further processing : 107
% 0.19/0.61 # Other redundant clauses eliminated : 0
% 0.19/0.61 # Clauses deleted for lack of memory : 0
% 0.19/0.61 # Backward-subsumed : 0
% 0.19/0.61 # Backward-rewritten : 61
% 0.19/0.61 # Generated clauses : 11038
% 0.19/0.61 # ...of the previous two non-redundant : 5836
% 0.19/0.61 # ...aggressively subsumed : 0
% 0.19/0.61 # Contextual simplify-reflections : 0
% 0.19/0.61 # Paramodulations : 11038
% 0.19/0.61 # Factorizations : 0
% 0.19/0.61 # NegExts : 0
% 0.19/0.61 # Equation resolutions : 0
% 0.19/0.61 # Total rewrite steps : 29656
% 0.19/0.61 # Propositional unsat checks : 0
% 0.19/0.61 # Propositional check models : 0
% 0.19/0.61 # Propositional check unsatisfiable : 0
% 0.19/0.61 # Propositional clauses : 0
% 0.19/0.61 # Propositional clauses after purity: 0
% 0.19/0.61 # Propositional unsat core size : 0
% 0.19/0.61 # Propositional preprocessing time : 0.000
% 0.19/0.61 # Propositional encoding time : 0.000
% 0.19/0.61 # Propositional solver time : 0.000
% 0.19/0.61 # Success case prop preproc time : 0.000
% 0.19/0.61 # Success case prop encoding time : 0.000
% 0.19/0.61 # Success case prop solver time : 0.000
% 0.19/0.61 # Current number of processed clauses : 46
% 0.19/0.61 # Positive orientable unit clauses : 42
% 0.19/0.61 # Positive unorientable unit clauses: 4
% 0.19/0.61 # Negative unit clauses : 0
% 0.19/0.61 # Non-unit-clauses : 0
% 0.19/0.61 # Current number of unprocessed clauses: 4178
% 0.19/0.61 # ...number of literals in the above : 4178
% 0.19/0.61 # Current number of archived formulas : 0
% 0.19/0.61 # Current number of archived clauses : 63
% 0.19/0.61 # Clause-clause subsumption calls (NU) : 0
% 0.19/0.61 # Rec. Clause-clause subsumption calls : 0
% 0.19/0.61 # Non-unit clause-clause subsumptions : 0
% 0.19/0.61 # Unit Clause-clause subsumption calls : 56
% 0.19/0.61 # Rewrite failures with RHS unbound : 0
% 0.19/0.61 # BW rewrite match attempts : 434
% 0.19/0.61 # BW rewrite match successes : 96
% 0.19/0.61 # Condensation attempts : 0
% 0.19/0.61 # Condensation successes : 0
% 0.19/0.61 # Termbank termtop insertions : 196464
% 0.19/0.61
% 0.19/0.61 # -------------------------------------------------
% 0.19/0.61 # User time : 0.119 s
% 0.19/0.61 # System time : 0.009 s
% 0.19/0.61 # Total time : 0.128 s
% 0.19/0.61 # Maximum resident set size: 1656 pages
% 0.19/0.61
% 0.19/0.61 # -------------------------------------------------
% 0.19/0.61 # User time : 0.585 s
% 0.19/0.61 # System time : 0.016 s
% 0.19/0.61 # Total time : 0.601 s
% 0.19/0.61 # Maximum resident set size: 1668 pages
% 0.19/0.61 % E---3.1 exiting
%------------------------------------------------------------------------------