TSTP Solution File: SWV050+1 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWV050+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 19:55:57 EDT 2023
% Result : Timeout 0.35s 300.28s
% Output : None
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 17 unt; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 22 ( 8 ~; 4 |; 8 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 15 con; 0-3 aty)
% Number of variables : 10 ( 1 sgn; 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cl5_nebula_norm_0022,conjecture,
( ( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) )
=> ( n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.nfBH8cFCHN/E---3.1_1125.p',cl5_nebula_norm_0022) ).
fof(pred_succ,axiom,
! [X1] : pred(succ(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.nfBH8cFCHN/E---3.1_1125.p',pred_succ) ).
fof(pred_minus_1,axiom,
! [X1] : minus(X1,n1) = pred(X1),
file('/export/starexec/sandbox2/tmp/tmp.nfBH8cFCHN/E---3.1_1125.p',pred_minus_1) ).
fof(succ_tptp_minus_1,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/tmp/tmp.nfBH8cFCHN/E---3.1_1125.p',succ_tptp_minus_1) ).
fof(sum_plus_base,axiom,
! [X23] : sum(n0,tptp_minus_1,X23) = n0,
file('/export/starexec/sandbox2/tmp/tmp.nfBH8cFCHN/E---3.1_1125.p',sum_plus_base) ).
fof(c_0_5,negated_conjecture,
~ ( ( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) )
=> ( n0 = sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
& pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ) ),
inference(assume_negation,[status(cth)],[cl5_nebula_norm_0022]) ).
fof(c_0_6,plain,
! [X59] : pred(succ(X59)) = X59,
inference(variable_rename,[status(thm)],[pred_succ]) ).
fof(c_0_7,plain,
! [X39] : minus(X39,n1) = pred(X39),
inference(variable_rename,[status(thm)],[pred_minus_1]) ).
fof(c_0_8,negated_conjecture,
( pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
& pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89)))))
& ( n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
| pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
| pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
cnf(c_0_9,plain,
pred(succ(X1)) = X1,
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
minus(X1,n1) = pred(X1),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( n0 != sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91)))))
| pv86 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87)))))
| pv88 != sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,negated_conjecture,
pv86 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(mu,pv87),a_select2(muold,pv87))),plus(abs(a_select2(mu,pv87)),abs(a_select2(muold,pv87))))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,negated_conjecture,
pv88 = sum(n0,minus(n5,n1),divide(abs(minus(a_select2(rho,pv89),a_select2(rhoold,pv89))),plus(abs(a_select2(rho,pv89)),abs(a_select2(rhoold,pv89))))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
minus(succ(X1),n1) = X1,
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_15,plain,
succ(tptp_minus_1) = n0,
inference(split_conjunct,[status(thm)],[succ_tptp_minus_1]) ).
fof(c_0_16,plain,
! [X28] : sum(n0,tptp_minus_1,X28) = n0,
inference(variable_rename,[status(thm)],[sum_plus_base]) ).
cnf(c_0_17,negated_conjecture,
sum(n0,minus(n0,n1),divide(abs(minus(a_select2(sigma,pv91),a_select2(sigmaold,pv91))),plus(abs(a_select2(sigma,pv91)),abs(a_select2(sigmaold,pv91))))) != n0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13])]) ).
cnf(c_0_18,plain,
minus(n0,n1) = tptp_minus_1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_19,plain,
sum(n0,tptp_minus_1,X1) = n0,
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV050+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.13 % Command : run_E %s %d THM
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 2400
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Oct 3 03:26:36 EDT 2023
% 0.13/0.33 % CPUTime :
% 0.18/0.46 Running first-order model finding
% 0.18/0.46 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.nfBH8cFCHN/E---3.1_1125.p
% 0.35/300.28 # Version: 3.1pre001
% 0.35/300.28 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.35/300.28 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/300.28 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.35/300.28 # Starting new_bool_3 with 300s (1) cores
% 0.35/300.28 # Starting new_bool_1 with 300s (1) cores
% 0.35/300.28 # Starting sh5l with 300s (1) cores
% 0.35/300.28 # new_bool_3 with pid 1220 completed with status 0
% 0.35/300.28 # Result found by new_bool_3
% 0.35/300.28 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.35/300.28 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/300.28 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.35/300.28 # Starting new_bool_3 with 300s (1) cores
% 0.35/300.28 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/300.28 # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.35/300.28 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.35/300.28 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.35/300.28 # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 1227 completed with status 0
% 0.35/300.28 # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.35/300.28 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.35/300.28 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.35/300.28 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.35/300.28 # Starting new_bool_3 with 300s (1) cores
% 0.35/300.28 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.35/300.28 # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.35/300.28 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.35/300.28 # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.35/300.28 # Preprocessing time : 0.002 s
% 0.35/300.28 # Presaturation interreduction done
% 0.35/300.28
% 0.35/300.28 # Proof found!
% 0.35/300.28 # SZS status Theorem
% 0.35/300.28 # SZS output start CNFRefutation
% See solution above
% 0.35/300.28 # Parsed axioms : 85
% 0.35/300.28 # Removed by relevancy pruning/SinE : 23
% 0.35/300.28 # Initial clauses : 67
% 0.35/300.28 # Removed in clause preprocessing : 0
% 0.35/300.28 # Initial clauses in saturation : 67
% 0.35/300.28 # Processed clauses : 138
% 0.35/300.28 # ...of these trivial : 0
% 0.35/300.28 # ...subsumed : 0
% 0.35/300.28 # ...remaining for further processing : 138
% 0.35/300.28 # Other redundant clauses eliminated : 0
% 0.35/300.28 # Clauses deleted for lack of memory : 0
% 0.35/300.28 # Backward-subsumed : 0
% 0.35/300.28 # Backward-rewritten : 3
% 0.35/300.28 # Generated clauses : 169
% 0.35/300.28 # ...of the previous two non-redundant : 130
% 0.35/300.28 # ...aggressively subsumed : 0
% 0.35/300.28 # Contextual simplify-reflections : 0
% 0.35/300.28 # Paramodulations : 167
% 0.35/300.28 # Factorizations : 2
% 0.35/300.28 # NegExts : 0
% 0.35/300.28 # Equation resolutions : 0
% 0.35/300.28 # Total rewrite steps : 106
% 0.35/300.28 # Propositional unsat checks : 0
% 0.35/300.28 # Propositional check models : 0
% 0.35/300.28 # Propositional check unsatisfiable : 0
% 0.35/300.28 # Propositional clauses : 0
% 0.35/300.28 # Propositional clauses after purity: 0
% 0.35/300.28 # Propositional unsat core size : 0
% 0.35/300.28 # Propositional preprocessing time : 0.000
% 0.35/300.28 # Propositional encoding time : 0.000
% 0.35/300.28 # Propositional solver time : 0.000
% 0.35/300.28 # Success case prop preproc time : 0.000
% 0.35/300.28 # Success case prop encoding time : 0.000
% 0.35/300.28 # Success case prop solver time : 0.000
% 0.35/300.28 # Current number of processed clauses : 68
% 0.35/300.28 # Positive orientable unit clauses : 46
% 0.35/300.28 # Positive unorientable unit clauses: 1
% 0.35/300.28 # Negative unit clauses : 1
% 0.35/300.28 # Non-unit-clauses : 20
% 0.35/300.28 # Current number of unprocessed clauses: 126
% 0.35/300.28 # ...number of literals in the above : 203
% 0.35/300.28 # Current number of archived formulas : 0
% 0.35/300.28 # Current number of archived clauses : 70
% 0.35/300.28 # Clause-clause subsumption calls (NU) : 171
% 0.35/300.28 # Rec. Clause-clause subsumption calls : 46
% 0.35/300.28 # Non-unit clause-clause subsumptions : 0
% 0.35/300.28 # Unit Clause-clause subsumption calls : 6
% 0.35/300.28 # Rewrite failures with RHS unbound : 0
% 0.35/300.28 # BW rewrite match attempts : 9
% 0.35/300.28 # BW rewrite match successes : 3
% 0.35/300.28 # Condensation attempts : 0
% 0.35/300.28 # Condensation successes : 0
% 0.35/300.28 # Termbank termtop insertions : 5417
% 0.35/300.28
% 0.35/300.28 # -------------------------------------------------
% 0.35/300.28 # User time : 0.009 s
% 0.35/300.28 # System time : 0.003 s
% 0.35/300.28 # Total time : 0.013 s
% 0.35/300.28 # Maximum resident set size: 1912 pages
% 0.35/300.28
% 0.35/300.28 # -------------------------------------------------
% 0.35/300.28 # User time : 0.013 s
% 0.35/300.28 # System time : 0.005 s
% 0.35/300.28 # Total time : 0.018 s
% 0.35/300.28 # Maximum resident set size: 1788 pages
% 0.35/300.28 % E---3.1 exiting
%------------------------------------------------------------------------------