TSTP Solution File: RNG006-2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : RNG006-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 19:15:18 EDT 2023
% Result : Unsatisfiable 0.23s 0.53s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 12 unt; 0 nHn; 18 RR)
% Number of literals : 33 ( 0 equ; 17 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(distributivity2,axiom,
( product(X1,X6,X7)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ sum(X2,X4,X6)
| ~ sum(X3,X5,X7) ),
file('/export/starexec/sandbox/tmp/tmp.E6pdIdDww3/E---3.1_5469.p',distributivity2) ).
cnf(aPb_plus_IaPc,hypothesis,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
file('/export/starexec/sandbox/tmp/tmp.E6pdIdDww3/E---3.1_5469.p',aPb_plus_IaPc) ).
cnf(a_times_b,hypothesis,
product(a,b,aPb),
file('/export/starexec/sandbox/tmp/tmp.E6pdIdDww3/E---3.1_5469.p',a_times_b) ).
cnf(product_lemma1,axiom,
( product(X1,additive_inverse(X2),additive_inverse(X3))
| ~ product(X1,X2,X3) ),
file('/export/starexec/sandbox/tmp/tmp.E6pdIdDww3/E---3.1_5469.p',product_lemma1) ).
cnf(a_times_c,hypothesis,
product(a,c,aPc),
file('/export/starexec/sandbox/tmp/tmp.E6pdIdDww3/E---3.1_5469.p',a_times_c) ).
cnf(b_plus_inverse_c,hypothesis,
sum(b,additive_inverse(c),bS_Ic),
file('/export/starexec/sandbox/tmp/tmp.E6pdIdDww3/E---3.1_5469.p',b_plus_inverse_c) ).
cnf(prove_a_times_bS_Ic_is_aPb_S__IaPc,negated_conjecture,
~ product(a,bS_Ic,aPb_S_IaPc),
file('/export/starexec/sandbox/tmp/tmp.E6pdIdDww3/E---3.1_5469.p',prove_a_times_bS_Ic_is_aPb_S__IaPc) ).
cnf(c_0_7,axiom,
( product(X1,X6,X7)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ sum(X2,X4,X6)
| ~ sum(X3,X5,X7) ),
distributivity2 ).
cnf(c_0_8,hypothesis,
sum(aPb,additive_inverse(aPc),aPb_S_IaPc),
aPb_plus_IaPc ).
cnf(c_0_9,hypothesis,
( product(X1,X2,aPb_S_IaPc)
| ~ product(X1,X3,additive_inverse(aPc))
| ~ product(X1,X4,aPb)
| ~ sum(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,hypothesis,
product(a,b,aPb),
a_times_b ).
cnf(c_0_11,axiom,
( product(X1,additive_inverse(X2),additive_inverse(X3))
| ~ product(X1,X2,X3) ),
product_lemma1 ).
cnf(c_0_12,hypothesis,
product(a,c,aPc),
a_times_c ).
cnf(c_0_13,hypothesis,
( product(a,X1,aPb_S_IaPc)
| ~ product(a,X2,additive_inverse(aPc))
| ~ sum(b,X2,X1) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_14,hypothesis,
sum(b,additive_inverse(c),bS_Ic),
b_plus_inverse_c ).
cnf(c_0_15,hypothesis,
product(a,additive_inverse(c),additive_inverse(aPc)),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,negated_conjecture,
~ product(a,bS_Ic,aPb_S_IaPc),
prove_a_times_bS_Ic_is_aPb_S__IaPc ).
cnf(c_0_17,hypothesis,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]),c_0_16]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : RNG006-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % Command : run_E %s %d THM
% 0.16/0.36 % Computer : n011.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 2400
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Oct 2 19:51:38 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.23/0.48 Running first-order model finding
% 0.23/0.48 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.E6pdIdDww3/E---3.1_5469.p
% 0.23/0.53 # Version: 3.1pre001
% 0.23/0.53 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53 # Starting sh5l with 300s (1) cores
% 0.23/0.53 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 5607 completed with status 0
% 0.23/0.53 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.23/0.53 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.53 # No SInE strategy applied
% 0.23/0.53 # Search class: FHUNM-FFMS21-SFFFFFNN
% 0.23/0.53 # partial match(1): FHUSM-FFMS21-SFFFFFNN
% 0.23/0.53 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.53 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.23/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.23/0.53 # Starting new_bool_3 with 136s (1) cores
% 0.23/0.53 # Starting new_bool_1 with 136s (1) cores
% 0.23/0.53 # Starting sh5l with 136s (1) cores
% 0.23/0.53 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 5616 completed with status 0
% 0.23/0.53 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 0.23/0.53 # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.23/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.23/0.53 # No SInE strategy applied
% 0.23/0.53 # Search class: FHUNM-FFMS21-SFFFFFNN
% 0.23/0.53 # partial match(1): FHUSM-FFMS21-SFFFFFNN
% 0.23/0.53 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.53 # Starting C07_19_nc_SAT001_MinMin_p005000_rr with 811s (1) cores
% 0.23/0.53 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 0.23/0.53 # Preprocessing time : 0.002 s
% 0.23/0.53 # Presaturation interreduction done
% 0.23/0.53
% 0.23/0.53 # Proof found!
% 0.23/0.53 # SZS status Unsatisfiable
% 0.23/0.53 # SZS output start CNFRefutation
% See solution above
% 0.23/0.53 # Parsed axioms : 36
% 0.23/0.53 # Removed by relevancy pruning/SinE : 0
% 0.23/0.53 # Initial clauses : 36
% 0.23/0.53 # Removed in clause preprocessing : 0
% 0.23/0.53 # Initial clauses in saturation : 36
% 0.23/0.53 # Processed clauses : 365
% 0.23/0.53 # ...of these trivial : 25
% 0.23/0.53 # ...subsumed : 0
% 0.23/0.53 # ...remaining for further processing : 340
% 0.23/0.53 # Other redundant clauses eliminated : 0
% 0.23/0.53 # Clauses deleted for lack of memory : 0
% 0.23/0.53 # Backward-subsumed : 0
% 0.23/0.53 # Backward-rewritten : 3
% 0.23/0.53 # Generated clauses : 1997
% 0.23/0.53 # ...of the previous two non-redundant : 1533
% 0.23/0.53 # ...aggressively subsumed : 0
% 0.23/0.53 # Contextual simplify-reflections : 0
% 0.23/0.53 # Paramodulations : 1997
% 0.23/0.53 # Factorizations : 0
% 0.23/0.53 # NegExts : 0
% 0.23/0.53 # Equation resolutions : 0
% 0.23/0.53 # Total rewrite steps : 498
% 0.23/0.53 # Propositional unsat checks : 0
% 0.23/0.53 # Propositional check models : 0
% 0.23/0.53 # Propositional check unsatisfiable : 0
% 0.23/0.53 # Propositional clauses : 0
% 0.23/0.53 # Propositional clauses after purity: 0
% 0.23/0.53 # Propositional unsat core size : 0
% 0.23/0.53 # Propositional preprocessing time : 0.000
% 0.23/0.53 # Propositional encoding time : 0.000
% 0.23/0.53 # Propositional solver time : 0.000
% 0.23/0.53 # Success case prop preproc time : 0.000
% 0.23/0.53 # Success case prop encoding time : 0.000
% 0.23/0.53 # Success case prop solver time : 0.000
% 0.23/0.53 # Current number of processed clauses : 301
% 0.23/0.53 # Positive orientable unit clauses : 84
% 0.23/0.53 # Positive unorientable unit clauses: 0
% 0.23/0.53 # Negative unit clauses : 1
% 0.23/0.53 # Non-unit-clauses : 216
% 0.23/0.53 # Current number of unprocessed clauses: 1232
% 0.23/0.53 # ...number of literals in the above : 2020
% 0.23/0.53 # Current number of archived formulas : 0
% 0.23/0.53 # Current number of archived clauses : 39
% 0.23/0.53 # Clause-clause subsumption calls (NU) : 2951
% 0.23/0.53 # Rec. Clause-clause subsumption calls : 2444
% 0.23/0.53 # Non-unit clause-clause subsumptions : 0
% 0.23/0.53 # Unit Clause-clause subsumption calls : 23
% 0.23/0.53 # Rewrite failures with RHS unbound : 0
% 0.23/0.53 # BW rewrite match attempts : 209
% 0.23/0.53 # BW rewrite match successes : 3
% 0.23/0.53 # Condensation attempts : 0
% 0.23/0.53 # Condensation successes : 0
% 0.23/0.53 # Termbank termtop insertions : 22300
% 0.23/0.53
% 0.23/0.53 # -------------------------------------------------
% 0.23/0.53 # User time : 0.032 s
% 0.23/0.53 # System time : 0.004 s
% 0.23/0.53 # Total time : 0.036 s
% 0.23/0.53 # Maximum resident set size: 1704 pages
% 0.23/0.53
% 0.23/0.53 # -------------------------------------------------
% 0.23/0.53 # User time : 0.165 s
% 0.23/0.53 # System time : 0.012 s
% 0.23/0.53 # Total time : 0.177 s
% 0.23/0.53 # Maximum resident set size: 1696 pages
% 0.23/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------