TSTP Solution File: GRP012-1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP012-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 17 unt; 0 nHn; 24 RR)
% Number of literals : 56 ( 4 equ; 28 neg)
% Maximal clause size : 4 ( 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 : 57 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity1,axiom,
( product(X1,X5,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X3,X4,X6) ),
file('/export/starexec/sandbox/tmp/tmp.1je4ZQS8t7/E---3.1_7802.p',associativity1) ).
cnf(left_inverse,axiom,
product(inverse(X1),X1,identity),
file('/export/starexec/sandbox/tmp/tmp.1je4ZQS8t7/E---3.1_7802.p',left_inverse) ).
cnf(associativity2,axiom,
( product(X3,X4,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X1,X5,X6) ),
file('/export/starexec/sandbox/tmp/tmp.1je4ZQS8t7/E---3.1_7802.p',associativity2) ).
cnf(inverse_b_multiply_inverse_a_is_d,hypothesis,
product(inverse(b),inverse(a),d),
file('/export/starexec/sandbox/tmp/tmp.1je4ZQS8t7/E---3.1_7802.p',inverse_b_multiply_inverse_a_is_d) ).
cnf(left_identity,axiom,
product(identity,X1,X1),
file('/export/starexec/sandbox/tmp/tmp.1je4ZQS8t7/E---3.1_7802.p',left_identity) ).
cnf(a_multiply_b_is_c,hypothesis,
product(a,b,c),
file('/export/starexec/sandbox/tmp/tmp.1je4ZQS8t7/E---3.1_7802.p',a_multiply_b_is_c) ).
cnf(right_identity,axiom,
product(X1,identity,X1),
file('/export/starexec/sandbox/tmp/tmp.1je4ZQS8t7/E---3.1_7802.p',right_identity) ).
cnf(total_function2,axiom,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/tmp/tmp.1je4ZQS8t7/E---3.1_7802.p',total_function2) ).
cnf(prove_c_multiply_d_is_identity,negated_conjecture,
~ product(c,d,identity),
file('/export/starexec/sandbox/tmp/tmp.1je4ZQS8t7/E---3.1_7802.p',prove_c_multiply_d_is_identity) ).
cnf(c_0_9,axiom,
( product(X1,X5,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X3,X4,X6) ),
associativity1 ).
cnf(c_0_10,axiom,
product(inverse(X1),X1,identity),
left_inverse ).
cnf(c_0_11,axiom,
( product(X3,X4,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X1,X5,X6) ),
associativity2 ).
cnf(c_0_12,hypothesis,
product(inverse(b),inverse(a),d),
inverse_b_multiply_inverse_a_is_d ).
cnf(c_0_13,plain,
( product(inverse(X1),X2,X3)
| ~ product(identity,X4,X3)
| ~ product(X1,X4,X2) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,axiom,
product(identity,X1,X1),
left_identity ).
cnf(c_0_15,hypothesis,
( product(d,X1,X2)
| ~ product(inverse(a),X1,X3)
| ~ product(inverse(b),X3,X2) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( product(inverse(X1),X2,X3)
| ~ product(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_17,hypothesis,
product(a,b,c),
a_multiply_b_is_c ).
cnf(c_0_18,plain,
( product(identity,X1,X2)
| ~ product(inverse(X3),X4,X2)
| ~ product(X3,X1,X4) ),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_19,axiom,
product(X1,identity,X1),
right_identity ).
cnf(c_0_20,hypothesis,
( product(d,X1,identity)
| ~ product(inverse(a),X1,b) ),
inference(spm,[status(thm)],[c_0_15,c_0_10]) ).
cnf(c_0_21,hypothesis,
product(inverse(a),c,b),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_22,axiom,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
total_function2 ).
cnf(c_0_23,plain,
( product(identity,X1,inverse(X2))
| ~ product(X2,X1,identity) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,hypothesis,
product(d,c,identity),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,plain,
( X1 = X2
| ~ product(identity,X1,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_14]) ).
cnf(c_0_26,hypothesis,
product(identity,c,inverse(d)),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,hypothesis,
inverse(d) = c,
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_28,negated_conjecture,
~ product(c,d,identity),
prove_c_multiply_d_is_identity ).
cnf(c_0_29,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_27]),c_0_28]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP012-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.32 % Computer : n029.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 2400
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Oct 3 03:05:52 EDT 2023
% 0.12/0.32 % CPUTime :
% 0.16/0.44 Running first-order theorem proving
% 0.16/0.44 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.1je4ZQS8t7/E---3.1_7802.p
% 0.16/0.46 # Version: 3.1pre001
% 0.16/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.46 # Starting sh5l with 300s (1) cores
% 0.16/0.46 # new_bool_3 with pid 7881 completed with status 0
% 0.16/0.46 # Result found by new_bool_3
% 0.16/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 # Search class: FHUSM-FFSF11-SFFFFFNN
% 0.16/0.46 # partial match(1): FHUSM-FFSF21-SFFFFFNN
% 0.16/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 181s (1) cores
% 0.16/0.46 # G-E--_208_C18_F1_AE_CS_SP_PI_S0a with pid 7886 completed with status 0
% 0.16/0.46 # Result found by G-E--_208_C18_F1_AE_CS_SP_PI_S0a
% 0.16/0.46 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.16/0.46 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.46 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.16/0.46 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.46 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.46 # Search class: FHUSM-FFSF11-SFFFFFNN
% 0.16/0.46 # partial match(1): FHUSM-FFSF21-SFFFFFNN
% 0.16/0.46 # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.46 # Starting G-E--_208_C18_F1_AE_CS_SP_PI_S0a with 181s (1) cores
% 0.16/0.46 # Preprocessing time : 0.001 s
% 0.16/0.46
% 0.16/0.46 # Proof found!
% 0.16/0.46 # SZS status Unsatisfiable
% 0.16/0.46 # SZS output start CNFRefutation
% See solution above
% 0.16/0.46 # Parsed axioms : 11
% 0.16/0.46 # Removed by relevancy pruning/SinE : 1
% 0.16/0.46 # Initial clauses : 10
% 0.16/0.46 # Removed in clause preprocessing : 0
% 0.16/0.46 # Initial clauses in saturation : 10
% 0.16/0.46 # Processed clauses : 191
% 0.16/0.46 # ...of these trivial : 1
% 0.16/0.46 # ...subsumed : 79
% 0.16/0.46 # ...remaining for further processing : 111
% 0.16/0.46 # Other redundant clauses eliminated : 0
% 0.16/0.46 # Clauses deleted for lack of memory : 0
% 0.16/0.46 # Backward-subsumed : 2
% 0.16/0.46 # Backward-rewritten : 5
% 0.16/0.46 # Generated clauses : 475
% 0.16/0.46 # ...of the previous two non-redundant : 317
% 0.16/0.46 # ...aggressively subsumed : 0
% 0.16/0.46 # Contextual simplify-reflections : 0
% 0.16/0.46 # Paramodulations : 475
% 0.16/0.46 # Factorizations : 0
% 0.16/0.46 # NegExts : 0
% 0.16/0.46 # Equation resolutions : 0
% 0.16/0.46 # Total rewrite steps : 197
% 0.16/0.46 # Propositional unsat checks : 0
% 0.16/0.46 # Propositional check models : 0
% 0.16/0.46 # Propositional check unsatisfiable : 0
% 0.16/0.46 # Propositional clauses : 0
% 0.16/0.46 # Propositional clauses after purity: 0
% 0.16/0.46 # Propositional unsat core size : 0
% 0.16/0.46 # Propositional preprocessing time : 0.000
% 0.16/0.46 # Propositional encoding time : 0.000
% 0.16/0.46 # Propositional solver time : 0.000
% 0.16/0.46 # Success case prop preproc time : 0.000
% 0.16/0.46 # Success case prop encoding time : 0.000
% 0.16/0.46 # Success case prop solver time : 0.000
% 0.16/0.46 # Current number of processed clauses : 104
% 0.16/0.46 # Positive orientable unit clauses : 13
% 0.16/0.46 # Positive unorientable unit clauses: 0
% 0.16/0.46 # Negative unit clauses : 1
% 0.16/0.46 # Non-unit-clauses : 90
% 0.16/0.46 # Current number of unprocessed clauses: 124
% 0.16/0.46 # ...number of literals in the above : 292
% 0.16/0.46 # Current number of archived formulas : 0
% 0.16/0.46 # Current number of archived clauses : 7
% 0.16/0.46 # Clause-clause subsumption calls (NU) : 1231
% 0.16/0.46 # Rec. Clause-clause subsumption calls : 1162
% 0.16/0.46 # Non-unit clause-clause subsumptions : 81
% 0.16/0.46 # Unit Clause-clause subsumption calls : 1
% 0.16/0.46 # Rewrite failures with RHS unbound : 0
% 0.16/0.46 # BW rewrite match attempts : 19
% 0.16/0.46 # BW rewrite match successes : 3
% 0.16/0.46 # Condensation attempts : 0
% 0.16/0.46 # Condensation successes : 0
% 0.16/0.46 # Termbank termtop insertions : 5440
% 0.16/0.46
% 0.16/0.46 # -------------------------------------------------
% 0.16/0.46 # User time : 0.008 s
% 0.16/0.46 # System time : 0.003 s
% 0.16/0.46 # Total time : 0.011 s
% 0.16/0.46 # Maximum resident set size: 1648 pages
% 0.16/0.46
% 0.16/0.46 # -------------------------------------------------
% 0.16/0.46 # User time : 0.010 s
% 0.16/0.46 # System time : 0.004 s
% 0.16/0.46 # Total time : 0.014 s
% 0.16/0.46 # Maximum resident set size: 1676 pages
% 0.16/0.46 % E---3.1 exiting
% 0.16/0.46 % E---3.1 exiting
%------------------------------------------------------------------------------