TSTP Solution File: SWW225+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : SWW225+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n032.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 20:08:50 EDT 2023
% Result : Theorem 0.69s 0.90s
% Output : CNFRefutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 14 unt; 0 def)
% Number of atoms : 30 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 6 |; 1 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_real__of__nat__Suc,axiom,
! [X6] : hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X6)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X6),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/tmp/tmp.xGvZKEK4uq/E---3.1_27652.p',fact_real__of__nat__Suc) ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),
file('/export/starexec/sandbox/tmp/tmp.xGvZKEK4uq/E---3.1_27652.p',conj_0) ).
fof(fact_nat__less__real__le,axiom,
! [X18,X19] :
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X19,X18)
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X19),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X18)) ),
file('/export/starexec/sandbox/tmp/tmp.xGvZKEK4uq/E---3.1_27652.p',fact_nat__less__real__le) ).
fof(fact_real__eq__of__nat,axiom,
c_RealDef_Oreal(tc_Nat_Onat) = c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.xGvZKEK4uq/E---3.1_27652.p',fact_real__eq__of__nat) ).
fof(fact_le__imp__less__Suc,axiom,
! [X6,X7] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7,X6)
=> c_Orderings_Oord__class_Oless(tc_Nat_Onat,X7,c_Nat_OSuc(X6)) ),
file('/export/starexec/sandbox/tmp/tmp.xGvZKEK4uq/E---3.1_27652.p',fact_le__imp__less__Suc) ).
fof(fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096,axiom,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),
file('/export/starexec/sandbox/tmp/tmp.xGvZKEK4uq/E---3.1_27652.p',fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096) ).
fof(c_0_6,plain,
! [X504] : hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X504)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X504),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(variable_rename,[status(thm)],[fact_real__of__nat__Suc]) ).
fof(c_0_7,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_8,plain,
! [X507,X508] :
( ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X508,X507)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X508),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X507)) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X508),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X507))
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X508,X507) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__real__le])]) ).
cnf(c_0_9,plain,
hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(X1)) = c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_10,plain,
c_RealDef_Oreal(tc_Nat_Onat) = c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_real__eq__of__nat]) ).
cnf(c_0_11,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),hAPP(c_RealDef_Oreal(tc_Nat_Onat),c_Nat_OSuc(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_RealDef_Oreal(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),hAPP(c_RealDef_Oreal(tc_Nat_Onat),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),X1),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),c_Nat_OSuc(X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10]),c_0_10]) ).
cnf(c_0_14,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),c_Nat_OSuc(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_10]),c_0_10]) ).
cnf(c_0_15,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),c_Nat_OSuc(X1)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_RealDef_Oreal),X2))
| ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_10]),c_0_13]),c_0_10]) ).
fof(c_0_16,plain,
! [X305,X306] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X306,X305)
| c_Orderings_Oord__class_Oless(tc_Nat_Onat,X306,c_Nat_OSuc(X305)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__less__Suc])]) ).
cnf(c_0_17,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),c_Nat_OSuc(hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____)))),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,plain,
( c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))
| ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_19,plain,
c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____),hAPP(v_f____,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,v_N1____,v_N2____))),
inference(split_conjunct,[status(thm)],[fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096]) ).
cnf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.21 % Problem : SWW225+1 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.22 % Command : run_E %s %d THM
% 0.22/0.43 % Computer : n032.cluster.edu
% 0.22/0.43 % Model : x86_64 x86_64
% 0.22/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.43 % Memory : 8042.1875MB
% 0.22/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.22/0.43 % CPULimit : 2400
% 0.22/0.43 % WCLimit : 300
% 0.22/0.43 % DateTime : Mon Oct 2 22:23:19 EDT 2023
% 0.22/0.43 % CPUTime :
% 0.27/0.65 Running first-order theorem proving
% 0.27/0.65 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.xGvZKEK4uq/E---3.1_27652.p
% 0.69/0.90 # Version: 3.1pre001
% 0.69/0.90 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.69/0.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.69/0.90 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.69/0.90 # Starting new_bool_3 with 300s (1) cores
% 0.69/0.90 # Starting new_bool_1 with 300s (1) cores
% 0.69/0.90 # Starting sh5l with 300s (1) cores
% 0.69/0.90 # new_bool_3 with pid 27732 completed with status 0
% 0.69/0.90 # Result found by new_bool_3
% 0.69/0.90 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.69/0.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.69/0.90 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.69/0.90 # Starting new_bool_3 with 300s (1) cores
% 0.69/0.90 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.69/0.90 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.69/0.90 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.69/0.90 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.69/0.90 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 27735 completed with status 0
% 0.69/0.90 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.69/0.90 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.69/0.90 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.69/0.90 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.69/0.90 # Starting new_bool_3 with 300s (1) cores
% 0.69/0.90 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.69/0.90 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.69/0.90 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.69/0.90 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.69/0.90 # Preprocessing time : 0.013 s
% 0.69/0.90 # Presaturation interreduction done
% 0.69/0.90
% 0.69/0.90 # Proof found!
% 0.69/0.90 # SZS status Theorem
% 0.69/0.90 # SZS output start CNFRefutation
% See solution above
% 0.69/0.90 # Parsed axioms : 1269
% 0.69/0.90 # Removed by relevancy pruning/SinE : 738
% 0.69/0.90 # Initial clauses : 726
% 0.69/0.90 # Removed in clause preprocessing : 16
% 0.69/0.90 # Initial clauses in saturation : 710
% 0.69/0.90 # Processed clauses : 2875
% 0.69/0.90 # ...of these trivial : 63
% 0.69/0.90 # ...subsumed : 1587
% 0.69/0.90 # ...remaining for further processing : 1225
% 0.69/0.90 # Other redundant clauses eliminated : 132
% 0.69/0.90 # Clauses deleted for lack of memory : 0
% 0.69/0.90 # Backward-subsumed : 10
% 0.69/0.90 # Backward-rewritten : 7
% 0.69/0.90 # Generated clauses : 6062
% 0.69/0.90 # ...of the previous two non-redundant : 4982
% 0.69/0.90 # ...aggressively subsumed : 0
% 0.69/0.90 # Contextual simplify-reflections : 2
% 0.69/0.90 # Paramodulations : 5926
% 0.69/0.90 # Factorizations : 6
% 0.69/0.90 # NegExts : 0
% 0.69/0.90 # Equation resolutions : 140
% 0.69/0.90 # Total rewrite steps : 3917
% 0.69/0.90 # Propositional unsat checks : 0
% 0.69/0.90 # Propositional check models : 0
% 0.69/0.90 # Propositional check unsatisfiable : 0
% 0.69/0.90 # Propositional clauses : 0
% 0.69/0.90 # Propositional clauses after purity: 0
% 0.69/0.90 # Propositional unsat core size : 0
% 0.69/0.90 # Propositional preprocessing time : 0.000
% 0.69/0.90 # Propositional encoding time : 0.000
% 0.69/0.90 # Propositional solver time : 0.000
% 0.69/0.90 # Success case prop preproc time : 0.000
% 0.69/0.90 # Success case prop encoding time : 0.000
% 0.69/0.90 # Success case prop solver time : 0.000
% 0.69/0.90 # Current number of processed clauses : 600
% 0.69/0.90 # Positive orientable unit clauses : 192
% 0.69/0.90 # Positive unorientable unit clauses: 7
% 0.69/0.90 # Negative unit clauses : 188
% 0.69/0.90 # Non-unit-clauses : 213
% 0.69/0.90 # Current number of unprocessed clauses: 3354
% 0.69/0.90 # ...number of literals in the above : 6050
% 0.69/0.90 # Current number of archived formulas : 0
% 0.69/0.90 # Current number of archived clauses : 555
% 0.69/0.90 # Clause-clause subsumption calls (NU) : 17852
% 0.69/0.90 # Rec. Clause-clause subsumption calls : 14009
% 0.69/0.90 # Non-unit clause-clause subsumptions : 307
% 0.69/0.90 # Unit Clause-clause subsumption calls : 4734
% 0.69/0.90 # Rewrite failures with RHS unbound : 0
% 0.69/0.90 # BW rewrite match attempts : 1882
% 0.69/0.90 # BW rewrite match successes : 250
% 0.69/0.90 # Condensation attempts : 0
% 0.69/0.90 # Condensation successes : 0
% 0.69/0.90 # Termbank termtop insertions : 144217
% 0.69/0.90
% 0.69/0.90 # -------------------------------------------------
% 0.69/0.90 # User time : 0.181 s
% 0.69/0.90 # System time : 0.012 s
% 0.69/0.90 # Total time : 0.193 s
% 0.69/0.90 # Maximum resident set size: 4928 pages
% 0.69/0.90
% 0.69/0.90 # -------------------------------------------------
% 0.69/0.90 # User time : 0.215 s
% 0.69/0.90 # System time : 0.017 s
% 0.69/0.90 # Total time : 0.232 s
% 0.69/0.90 # Maximum resident set size: 3108 pages
% 0.69/0.90 % E---3.1 exiting
% 0.69/0.90 % E---3.1 exiting
%------------------------------------------------------------------------------