TSTP Solution File: GRP013-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 17:36:06 EDT 2023
% Result : Unsatisfiable 136.31s 136.50s
% Output : CNFRefutation 136.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 17 unt; 0 nHn; 15 RR)
% Number of literals : 31 ( 6 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-1 aty)
% Number of variables : 25 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(total_function2,axiom,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.nijce0Sb7U/E---3.1_17153.p',total_function2) ).
cnf(right_identity,axiom,
product(X1,identity,X1),
file('/export/starexec/sandbox2/tmp/tmp.nijce0Sb7U/E---3.1_17153.p',right_identity) ).
cnf(inverses_have_property,hypothesis,
( product(X1,X3,X2)
| ~ product(inverse(X1),inverse(X2),X3) ),
file('/export/starexec/sandbox2/tmp/tmp.nijce0Sb7U/E---3.1_17153.p',inverses_have_property) ).
cnf(left_inverse,axiom,
product(inverse(X1),X1,identity),
file('/export/starexec/sandbox2/tmp/tmp.nijce0Sb7U/E---3.1_17153.p',left_inverse) ).
cnf(a_times_b_is_c,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox2/tmp/tmp.nijce0Sb7U/E---3.1_17153.p',a_times_b_is_c) ).
cnf(inverse_a_times_inverse_b_is_d,hypothesis,
product(inverse(a),inverse(b),d),
file('/export/starexec/sandbox2/tmp/tmp.nijce0Sb7U/E---3.1_17153.p',inverse_a_times_inverse_b_is_d) ).
cnf(prove_c_times_d_is_identity,negated_conjecture,
~ product(c,d,identity),
file('/export/starexec/sandbox2/tmp/tmp.nijce0Sb7U/E---3.1_17153.p',prove_c_times_d_is_identity) ).
cnf(squareness,hypothesis,
product(X1,X1,identity),
file('/export/starexec/sandbox2/tmp/tmp.nijce0Sb7U/E---3.1_17153.p',squareness) ).
cnf(c_0_8,axiom,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
total_function2 ).
cnf(c_0_9,axiom,
product(X1,identity,X1),
right_identity ).
cnf(c_0_10,hypothesis,
( product(X1,X3,X2)
| ~ product(inverse(X1),inverse(X2),X3) ),
inverses_have_property ).
cnf(c_0_11,axiom,
product(inverse(X1),X1,identity),
left_inverse ).
cnf(c_0_12,plain,
( X1 = X2
| ~ product(X1,identity,X2) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_13,hypothesis,
product(inverse(X1),identity,X1),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,hypothesis,
product(a,b,c),
a_times_b_is_c ).
cnf(c_0_15,hypothesis,
product(inverse(a),inverse(b),d),
inverse_a_times_inverse_b_is_d ).
cnf(c_0_16,hypothesis,
inverse(X1) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,hypothesis,
( c = X1
| ~ product(a,b,X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_14]) ).
cnf(c_0_18,hypothesis,
product(a,b,d),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16]),c_0_16]) ).
cnf(c_0_19,negated_conjecture,
~ product(c,d,identity),
prove_c_times_d_is_identity ).
cnf(c_0_20,hypothesis,
d = c,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,hypothesis,
product(X1,X1,identity),
squareness ).
cnf(c_0_22,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Oct 3 02:16:45 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.nijce0Sb7U/E---3.1_17153.p
% 136.31/136.50 # Version: 3.1pre001
% 136.31/136.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 136.31/136.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.31/136.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 136.31/136.50 # Starting new_bool_3 with 300s (1) cores
% 136.31/136.50 # Starting new_bool_1 with 300s (1) cores
% 136.31/136.50 # Starting sh5l with 300s (1) cores
% 136.31/136.50 # sh5l with pid 17234 completed with status 0
% 136.31/136.50 # Result found by sh5l
% 136.31/136.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 136.31/136.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.31/136.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 136.31/136.50 # Starting new_bool_3 with 300s (1) cores
% 136.31/136.50 # Starting new_bool_1 with 300s (1) cores
% 136.31/136.50 # Starting sh5l with 300s (1) cores
% 136.31/136.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 136.31/136.50 # Search class: FHUSM-FFSF11-SFFFFFNN
% 136.31/136.50 # partial match(1): FHUSM-FFSF21-SFFFFFNN
% 136.31/136.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 136.31/136.50 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 181s (1) cores
% 136.31/136.50 # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 17243 completed with status 0
% 136.31/136.50 # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 136.31/136.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 136.31/136.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 136.31/136.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 136.31/136.50 # Starting new_bool_3 with 300s (1) cores
% 136.31/136.50 # Starting new_bool_1 with 300s (1) cores
% 136.31/136.50 # Starting sh5l with 300s (1) cores
% 136.31/136.50 # SinE strategy is gf500_gu_R04_F100_L20000
% 136.31/136.50 # Search class: FHUSM-FFSF11-SFFFFFNN
% 136.31/136.50 # partial match(1): FHUSM-FFSF21-SFFFFFNN
% 136.31/136.50 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 136.31/136.50 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 181s (1) cores
% 136.31/136.50 # Preprocessing time : 0.001 s
% 136.31/136.50
% 136.31/136.50 # Proof found!
% 136.31/136.50 # SZS status Unsatisfiable
% 136.31/136.50 # SZS output start CNFRefutation
% See solution above
% 136.31/136.50 # Parsed axioms : 13
% 136.31/136.50 # Removed by relevancy pruning/SinE : 1
% 136.31/136.50 # Initial clauses : 12
% 136.31/136.50 # Removed in clause preprocessing : 0
% 136.31/136.50 # Initial clauses in saturation : 12
% 136.31/136.50 # Processed clauses : 24
% 136.31/136.50 # ...of these trivial : 0
% 136.31/136.50 # ...subsumed : 2
% 136.31/136.50 # ...remaining for further processing : 22
% 136.31/136.50 # Other redundant clauses eliminated : 0
% 136.31/136.50 # Clauses deleted for lack of memory : 0
% 136.31/136.50 # Backward-subsumed : 0
% 136.31/136.50 # Backward-rewritten : 10
% 136.31/136.50 # Generated clauses : 98
% 136.31/136.50 # ...of the previous two non-redundant : 94
% 136.31/136.50 # ...aggressively subsumed : 0
% 136.31/136.50 # Contextual simplify-reflections : 0
% 136.31/136.50 # Paramodulations : 98
% 136.31/136.50 # Factorizations : 0
% 136.31/136.50 # NegExts : 0
% 136.31/136.50 # Equation resolutions : 0
% 136.31/136.50 # Total rewrite steps : 25
% 136.31/136.50 # Propositional unsat checks : 0
% 136.31/136.50 # Propositional check models : 0
% 136.31/136.50 # Propositional check unsatisfiable : 0
% 136.31/136.50 # Propositional clauses : 0
% 136.31/136.50 # Propositional clauses after purity: 0
% 136.31/136.50 # Propositional unsat core size : 0
% 136.31/136.50 # Propositional preprocessing time : 0.000
% 136.31/136.50 # Propositional encoding time : 0.000
% 136.31/136.50 # Propositional solver time : 0.000
% 136.31/136.50 # Success case prop preproc time : 0.000
% 136.31/136.50 # Success case prop encoding time : 0.000
% 136.31/136.50 # Success case prop solver time : 0.000
% 136.31/136.50 # Current number of processed clauses : 12
% 136.31/136.50 # Positive orientable unit clauses : 6
% 136.31/136.50 # Positive unorientable unit clauses: 0
% 136.31/136.50 # Negative unit clauses : 0
% 136.31/136.50 # Non-unit-clauses : 6
% 136.31/136.50 # Current number of unprocessed clauses: 80
% 136.31/136.50 # ...number of literals in the above : 220
% 136.31/136.50 # Current number of archived formulas : 0
% 136.31/136.50 # Current number of archived clauses : 10
% 136.31/136.50 # Clause-clause subsumption calls (NU) : 15
% 136.31/136.50 # Rec. Clause-clause subsumption calls : 13
% 136.31/136.50 # Non-unit clause-clause subsumptions : 2
% 136.31/136.50 # Unit Clause-clause subsumption calls : 0
% 136.31/136.50 # Rewrite failures with RHS unbound : 0
% 136.31/136.50 # BW rewrite match attempts : 11
% 136.31/136.50 # BW rewrite match successes : 6
% 136.31/136.50 # Condensation attempts : 0
% 136.31/136.50 # Condensation successes : 0
% 136.31/136.50 # Termbank termtop insertions : 1106
% 136.31/136.50
% 136.31/136.50 # -------------------------------------------------
% 136.31/136.50 # User time : 0.004 s
% 136.31/136.50 # System time : 0.000 s
% 136.31/136.50 # Total time : 0.005 s
% 136.31/136.50 # Maximum resident set size: 1724 pages
% 136.31/136.50
% 136.31/136.50 # -------------------------------------------------
% 136.31/136.50 # User time : 0.007 s
% 136.31/136.50 # System time : 0.001 s
% 136.31/136.50 # Total time : 0.008 s
% 136.31/136.50 # Maximum resident set size: 1680 pages
% 136.31/136.50 % E---3.1 exiting
% 136.31/136.50 % E---3.1 exiting
%------------------------------------------------------------------------------