TSTP Solution File: GRP131-2.002 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP131-2.002 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 17:46:18 EDT 2023
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 38 ( 11 unt; 20 nHn; 38 RR)
% Number of literals : 95 ( 0 equ; 41 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 49 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(product_total_function1,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| ~ group_element(X1)
| ~ group_element(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.bgYoD0Cd9u/E---3.1_1177.p',product_total_function1) ).
cnf(element_2,axiom,
group_element(e_2),
file('/export/starexec/sandbox2/tmp/tmp.bgYoD0Cd9u/E---3.1_1177.p',element_2) ).
cnf(element_1,axiom,
group_element(e_1),
file('/export/starexec/sandbox2/tmp/tmp.bgYoD0Cd9u/E---3.1_1177.p',element_1) ).
cnf(product_right_cancellation,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.bgYoD0Cd9u/E---3.1_1177.p',product_right_cancellation) ).
cnf(qg1_2,negated_conjecture,
( equalish(X2,X5)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X1)
| ~ product(X6,X5,X4) ),
file('/export/starexec/sandbox2/tmp/tmp.bgYoD0Cd9u/E---3.1_1177.p',qg1_2) ).
cnf(product_left_cancellation,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.bgYoD0Cd9u/E---3.1_1177.p',product_left_cancellation) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox2/tmp/tmp.bgYoD0Cd9u/E---3.1_1177.p',e_1_is_not_e_2) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox2/tmp/tmp.bgYoD0Cd9u/E---3.1_1177.p',e_2_is_not_e_1) ).
cnf(c_0_8,axiom,
( product(X1,X2,e_1)
| product(X1,X2,e_2)
| ~ group_element(X1)
| ~ group_element(X2) ),
product_total_function1 ).
cnf(c_0_9,axiom,
group_element(e_2),
element_2 ).
cnf(c_0_10,axiom,
group_element(e_1),
element_1 ).
cnf(c_0_11,plain,
( product(X1,e_2,e_2)
| product(X1,e_2,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
cnf(c_0_12,plain,
( product(X1,e_1,e_2)
| product(X1,e_1,e_1)
| ~ group_element(X1) ),
inference(spm,[status(thm)],[c_0_8,c_0_10]) ).
cnf(c_0_13,axiom,
( equalish(X2,X4)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X3) ),
product_right_cancellation ).
cnf(c_0_14,plain,
( product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_15,negated_conjecture,
( equalish(X2,X5)
| ~ product(X1,X2,X3)
| ~ product(X4,X5,X3)
| ~ product(X6,X2,X1)
| ~ product(X6,X5,X4) ),
qg1_2 ).
cnf(c_0_16,plain,
( product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_11,c_0_9]) ).
cnf(c_0_17,axiom,
( equalish(X1,X4)
| ~ product(X1,X2,X3)
| ~ product(X4,X2,X3) ),
product_left_cancellation ).
cnf(c_0_18,plain,
( product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_12,c_0_9]) ).
cnf(c_0_19,plain,
( equalish(X1,e_2)
| product(e_1,e_2,e_1)
| ~ product(e_1,X1,e_2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_12,c_0_10]) ).
cnf(c_0_21,axiom,
~ equalish(e_1,e_2),
e_1_is_not_e_2 ).
cnf(c_0_22,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_2,e_1)
| ~ product(e_2,e_2,X2)
| ~ product(e_2,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
( equalish(X1,e_2)
| product(e_2,e_1,e_1)
| ~ product(X1,e_1,e_2) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_24,plain,
( product(e_1,e_1,e_1)
| product(e_1,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( equalish(X1,e_2)
| product(e_2,e_2,e_1)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,e_2) ),
inference(spm,[status(thm)],[c_0_22,c_0_16]) ).
cnf(c_0_26,plain,
( product(e_1,e_1,e_1)
| product(e_2,e_1,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_20]),c_0_21]) ).
cnf(c_0_27,plain,
( equalish(X1,e_2)
| product(e_2,e_2,e_1)
| ~ product(X1,e_2,e_2) ),
inference(spm,[status(thm)],[c_0_17,c_0_16]) ).
cnf(c_0_28,plain,
( equalish(X1,e_1)
| product(e_1,e_1,e_1)
| ~ product(X1,e_2,e_1) ),
inference(spm,[status(thm)],[c_0_17,c_0_24]) ).
cnf(c_0_29,negated_conjecture,
( product(e_1,e_1,e_1)
| product(e_2,e_2,e_1) ),
inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_21]),c_0_20]) ).
cnf(c_0_30,axiom,
~ equalish(e_2,e_1),
e_2_is_not_e_1 ).
cnf(c_0_31,negated_conjecture,
( equalish(X1,e_2)
| product(e_1,e_2,e_1)
| ~ product(e_2,e_2,X2)
| ~ product(e_1,X1,X3)
| ~ product(X3,X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_32,plain,
( product(e_1,e_2,e_1)
| product(e_2,e_2,e_1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_14]),c_0_21]) ).
cnf(c_0_33,negated_conjecture,
product(e_1,e_1,e_1),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_34,negated_conjecture,
( equalish(X1,e_2)
| product(e_1,e_2,e_1)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,e_1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,negated_conjecture,
( equalish(X1,e_1)
| ~ product(e_1,X1,e_1) ),
inference(spm,[status(thm)],[c_0_13,c_0_33]) ).
cnf(c_0_36,negated_conjecture,
product(e_1,e_2,e_1),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_33]),c_0_33])]),c_0_21]) ).
cnf(c_0_37,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_35]),c_0_36])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP131-2.002 : TPTP v8.1.2. Released v1.2.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n009.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 02:17:29 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order model finding
% 0.20/0.48 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.bgYoD0Cd9u/E---3.1_1177.p
% 0.20/0.50 # Version: 3.1pre001
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.50 # Starting sh5l with 300s (1) cores
% 0.20/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1328 completed with status 0
% 0.20/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # No SInE strategy applied
% 0.20/0.50 # Search class: FGHNF-FFSS00-SFFFFFNN
% 0.20/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.50 # Starting new_bool_3 with 136s (1) cores
% 0.20/0.50 # Starting new_bool_1 with 136s (1) cores
% 0.20/0.50 # Starting sh5l with 136s (1) cores
% 0.20/0.50 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 1335 completed with status 0
% 0.20/0.50 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.50 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.50 # No SInE strategy applied
% 0.20/0.50 # Search class: FGHNF-FFSS00-SFFFFFNN
% 0.20/0.50 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.50 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.50 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.50 # Preprocessing time : 0.001 s
% 0.20/0.50 # Presaturation interreduction done
% 0.20/0.50
% 0.20/0.50 # Proof found!
% 0.20/0.50 # SZS status Unsatisfiable
% 0.20/0.50 # SZS output start CNFRefutation
% See solution above
% 0.20/0.50 # Parsed axioms : 13
% 0.20/0.50 # Removed by relevancy pruning/SinE : 0
% 0.20/0.50 # Initial clauses : 13
% 0.20/0.50 # Removed in clause preprocessing : 0
% 0.20/0.50 # Initial clauses in saturation : 13
% 0.20/0.50 # Processed clauses : 133
% 0.20/0.50 # ...of these trivial : 0
% 0.20/0.50 # ...subsumed : 43
% 0.20/0.50 # ...remaining for further processing : 90
% 0.20/0.50 # Other redundant clauses eliminated : 0
% 0.20/0.50 # Clauses deleted for lack of memory : 0
% 0.20/0.50 # Backward-subsumed : 0
% 0.20/0.50 # Backward-rewritten : 46
% 0.20/0.50 # Generated clauses : 171
% 0.20/0.50 # ...of the previous two non-redundant : 169
% 0.20/0.50 # ...aggressively subsumed : 0
% 0.20/0.50 # Contextual simplify-reflections : 1
% 0.20/0.50 # Paramodulations : 171
% 0.20/0.50 # Factorizations : 0
% 0.20/0.50 # NegExts : 0
% 0.20/0.50 # Equation resolutions : 0
% 0.20/0.50 # Total rewrite steps : 48
% 0.20/0.50 # Propositional unsat checks : 0
% 0.20/0.50 # Propositional check models : 0
% 0.20/0.50 # Propositional check unsatisfiable : 0
% 0.20/0.50 # Propositional clauses : 0
% 0.20/0.50 # Propositional clauses after purity: 0
% 0.20/0.50 # Propositional unsat core size : 0
% 0.20/0.50 # Propositional preprocessing time : 0.000
% 0.20/0.50 # Propositional encoding time : 0.000
% 0.20/0.50 # Propositional solver time : 0.000
% 0.20/0.50 # Success case prop preproc time : 0.000
% 0.20/0.50 # Success case prop encoding time : 0.000
% 0.20/0.50 # Success case prop solver time : 0.000
% 0.20/0.50 # Current number of processed clauses : 31
% 0.20/0.50 # Positive orientable unit clauses : 7
% 0.20/0.50 # Positive unorientable unit clauses: 0
% 0.20/0.50 # Negative unit clauses : 3
% 0.20/0.50 # Non-unit-clauses : 21
% 0.20/0.50 # Current number of unprocessed clauses: 59
% 0.20/0.50 # ...number of literals in the above : 228
% 0.20/0.50 # Current number of archived formulas : 0
% 0.20/0.50 # Current number of archived clauses : 59
% 0.20/0.50 # Clause-clause subsumption calls (NU) : 759
% 0.20/0.50 # Rec. Clause-clause subsumption calls : 491
% 0.20/0.50 # Non-unit clause-clause subsumptions : 44
% 0.20/0.50 # Unit Clause-clause subsumption calls : 30
% 0.20/0.50 # Rewrite failures with RHS unbound : 0
% 0.20/0.50 # BW rewrite match attempts : 10
% 0.20/0.50 # BW rewrite match successes : 3
% 0.20/0.50 # Condensation attempts : 0
% 0.20/0.50 # Condensation successes : 0
% 0.20/0.50 # Termbank termtop insertions : 2988
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.008 s
% 0.20/0.50 # System time : 0.002 s
% 0.20/0.50 # Total time : 0.010 s
% 0.20/0.50 # Maximum resident set size: 1636 pages
% 0.20/0.50
% 0.20/0.50 # -------------------------------------------------
% 0.20/0.50 # User time : 0.042 s
% 0.20/0.50 # System time : 0.006 s
% 0.20/0.50 # Total time : 0.048 s
% 0.20/0.50 # Maximum resident set size: 1680 pages
% 0.20/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------