TSTP Solution File: SWW225+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW225+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n020.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 : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:13:53 EDT 2024
% Result : Theorem 0.45s 0.85s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 31 ( 6 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 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(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/sandbox2/tmp/tmp.OYBv6hbRyz/E---3.1_13038.p',conj_0) ).
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/sandbox2/tmp/tmp.OYBv6hbRyz/E---3.1_13038.p',fact_real__of__nat__Suc) ).
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/sandbox2/tmp/tmp.OYBv6hbRyz/E---3.1_13038.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/sandbox2/tmp/tmp.OYBv6hbRyz/E---3.1_13038.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/sandbox2/tmp/tmp.OYBv6hbRyz/E---3.1_13038.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/sandbox2/tmp/tmp.OYBv6hbRyz/E---3.1_13038.p',fact__096N1_A_L_AN2_A_060_061_Af_A_IN1_A_L_AN2_J_096) ).
fof(c_0_6,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_7,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_8,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_nnf,[status(thm)],[c_0_6]) ).
fof(c_0_9,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__real__le])])]) ).
cnf(c_0_10,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_7]) ).
cnf(c_0_11,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_12,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_8]) ).
cnf(c_0_13,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_9]) ).
cnf(c_0_14,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_10,c_0_11]),c_0_11]) ).
cnf(c_0_15,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_12,c_0_11]),c_0_11]) ).
cnf(c_0_16,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_13,c_0_11]),c_0_14]),c_0_11]) ).
fof(c_0_17,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(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__less__Suc])])]) ).
cnf(c_0_18,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_15,c_0_16]) ).
cnf(c_0_19,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_17]) ).
cnf(c_0_20,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_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW225+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13 % Command : run_E %s %d SAT
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jun 19 05:49:09 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.38/0.61 Running first-order model finding
% 0.38/0.61 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.OYBv6hbRyz/E---3.1_13038.p
% 0.45/0.85 # Version: 3.2.0
% 0.45/0.85 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.45/0.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.45/0.85 # Starting new_bool_3 with 300s (1) cores
% 0.45/0.85 # Starting new_bool_1 with 300s (1) cores
% 0.45/0.85 # Starting sh5l with 300s (1) cores
% 0.45/0.85 # new_bool_3 with pid 13116 completed with status 0
% 0.45/0.85 # Result found by new_bool_3
% 0.45/0.85 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.45/0.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.45/0.85 # Starting new_bool_3 with 300s (1) cores
% 0.45/0.85 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.45/0.85 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.45/0.85 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.45/0.85 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.45/0.85 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 13119 completed with status 0
% 0.45/0.85 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.45/0.85 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.45/0.85 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.45/0.85 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.45/0.85 # Starting new_bool_3 with 300s (1) cores
% 0.45/0.85 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.45/0.85 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.45/0.85 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.45/0.85 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.45/0.85 # Preprocessing time : 0.009 s
% 0.45/0.85 # Presaturation interreduction done
% 0.45/0.85
% 0.45/0.85 # Proof found!
% 0.45/0.85 # SZS status Theorem
% 0.45/0.85 # SZS output start CNFRefutation
% See solution above
% 0.45/0.85 # Parsed axioms : 1269
% 0.45/0.85 # Removed by relevancy pruning/SinE : 738
% 0.45/0.85 # Initial clauses : 726
% 0.45/0.85 # Removed in clause preprocessing : 16
% 0.45/0.85 # Initial clauses in saturation : 710
% 0.45/0.85 # Processed clauses : 2895
% 0.45/0.85 # ...of these trivial : 66
% 0.45/0.85 # ...subsumed : 1601
% 0.45/0.85 # ...remaining for further processing : 1228
% 0.45/0.85 # Other redundant clauses eliminated : 132
% 0.45/0.85 # Clauses deleted for lack of memory : 0
% 0.45/0.85 # Backward-subsumed : 9
% 0.45/0.85 # Backward-rewritten : 8
% 0.45/0.85 # Generated clauses : 6089
% 0.45/0.85 # ...of the previous two non-redundant : 5011
% 0.45/0.85 # ...aggressively subsumed : 0
% 0.45/0.85 # Contextual simplify-reflections : 2
% 0.45/0.85 # Paramodulations : 5953
% 0.45/0.85 # Factorizations : 6
% 0.45/0.85 # NegExts : 0
% 0.45/0.85 # Equation resolutions : 140
% 0.45/0.85 # Disequality decompositions : 0
% 0.45/0.85 # Total rewrite steps : 3938
% 0.45/0.85 # ...of those cached : 3220
% 0.45/0.85 # Propositional unsat checks : 0
% 0.45/0.85 # Propositional check models : 0
% 0.45/0.85 # Propositional check unsatisfiable : 0
% 0.45/0.85 # Propositional clauses : 0
% 0.45/0.85 # Propositional clauses after purity: 0
% 0.45/0.85 # Propositional unsat core size : 0
% 0.45/0.85 # Propositional preprocessing time : 0.000
% 0.45/0.85 # Propositional encoding time : 0.000
% 0.45/0.85 # Propositional solver time : 0.000
% 0.45/0.85 # Success case prop preproc time : 0.000
% 0.45/0.85 # Success case prop encoding time : 0.000
% 0.45/0.85 # Success case prop solver time : 0.000
% 0.45/0.85 # Current number of processed clauses : 603
% 0.45/0.85 # Positive orientable unit clauses : 192
% 0.45/0.85 # Positive unorientable unit clauses: 7
% 0.45/0.85 # Negative unit clauses : 187
% 0.45/0.85 # Non-unit-clauses : 217
% 0.45/0.85 # Current number of unprocessed clauses: 3360
% 0.45/0.85 # ...number of literals in the above : 6070
% 0.45/0.85 # Current number of archived formulas : 0
% 0.45/0.85 # Current number of archived clauses : 555
% 0.45/0.85 # Clause-clause subsumption calls (NU) : 18066
% 0.45/0.85 # Rec. Clause-clause subsumption calls : 14204
% 0.45/0.85 # Non-unit clause-clause subsumptions : 312
% 0.45/0.85 # Unit Clause-clause subsumption calls : 4548
% 0.45/0.85 # Rewrite failures with RHS unbound : 0
% 0.45/0.85 # BW rewrite match attempts : 1871
% 0.45/0.85 # BW rewrite match successes : 245
% 0.45/0.85 # Condensation attempts : 0
% 0.45/0.85 # Condensation successes : 0
% 0.45/0.85 # Termbank termtop insertions : 150838
% 0.45/0.85 # Search garbage collected termcells : 12394
% 0.45/0.85
% 0.45/0.85 # -------------------------------------------------
% 0.45/0.85 # User time : 0.176 s
% 0.45/0.85 # System time : 0.017 s
% 0.45/0.85 # Total time : 0.193 s
% 0.45/0.85 # Maximum resident set size: 4940 pages
% 0.45/0.85
% 0.45/0.85 # -------------------------------------------------
% 0.45/0.85 # User time : 0.213 s
% 0.45/0.85 # System time : 0.019 s
% 0.45/0.85 # Total time : 0.232 s
% 0.45/0.85 # Maximum resident set size: 3120 pages
% 0.45/0.85 % E---3.1 exiting
% 0.45/0.85 % E exiting
%------------------------------------------------------------------------------