TSTP Solution File: SWW219+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW219+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% 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 : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:13:52 EDT 2024
% Result : Theorem 0.90s 0.79s
% Output : CNFRefutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 7 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 5 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 7 con; 0-3 aty)
% Number of variables : 11 ( 1 sgn 6 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_1,conjecture,
v_thesis____,
file('/export/starexec/sandbox/tmp/tmp.ILUvI9PBfJ/E---3.1_8790.p',conj_1) ).
fof(conj_0,hypothesis,
! [X97] :
( ! [X10] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X97,X10)),v_r)
=> ( ! [X10] : c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X97,X10))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X10)))))
=> v_thesis____ ) ),
file('/export/starexec/sandbox/tmp/tmp.ILUvI9PBfJ/E---3.1_8790.p',conj_0) ).
fof(fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096,axiom,
? [X7] :
! [X3] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X7,X3)),v_r)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X7,X3))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X3))))) ),
file('/export/starexec/sandbox/tmp/tmp.ILUvI9PBfJ/E---3.1_8790.p',fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096) ).
fof(c_0_3,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_1])]) ).
fof(c_0_4,hypothesis,
! [X98] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X98,esk1_1(X98))),v_r)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X98,esk2_1(X98)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk2_1(X98))))))
| v_thesis____ ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[conj_0])])])]) ).
fof(c_0_5,negated_conjecture,
~ v_thesis____,
inference(fof_nnf,[status(thm)],[c_0_3]) ).
cnf(c_0_6,hypothesis,
( v_thesis____
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X1,esk1_1(X1))),v_r)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X1,esk2_1(X1)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk2_1(X1)))))) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_5]) ).
fof(c_0_8,plain,
! [X613] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(esk9_0,X613)),v_r)
& c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(esk9_0,X613))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X613))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact__096EX_Af_O_AALL_Ax_O_Acmod_A_If_Ax_J_A_060_061_Ar_A_G_Acmod_A_Ipoly_Ap_A_If_Ax_J_J_A_060_A_N_As_A_L_A1_A_P_Areal_A_ISuc_Ax_J_096])]) ).
cnf(c_0_9,hypothesis,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(X1,esk2_1(X1)))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(esk2_1(X1))))))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(X1,esk1_1(X1))),v_r) ),
inference(sr,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_10,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),hAPP(esk9_0,X1))),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,v_s____),c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealDef_Oreal(tc_Nat_Onat,c_Nat_OSuc(X1))))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_11,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(esk9_0,X1)),v_r),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_12,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : SWW219+1 : TPTP v8.2.0. Released v5.2.0.
% 0.05/0.09 % Command : run_E %s %d SAT
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Wed Jun 19 08:30:08 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.13/0.46 Running first-order model finding
% 0.13/0.46 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.ILUvI9PBfJ/E---3.1_8790.p
% 0.90/0.79 # Version: 3.2.0
% 0.90/0.79 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.90/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.79 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.90/0.79 # Starting new_bool_3 with 300s (1) cores
% 0.90/0.79 # Starting new_bool_1 with 300s (1) cores
% 0.90/0.79 # Starting sh5l with 300s (1) cores
% 0.90/0.79 # new_bool_1 with pid 8951 completed with status 0
% 0.90/0.79 # Result found by new_bool_1
% 0.90/0.79 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.90/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.79 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.90/0.79 # Starting new_bool_3 with 300s (1) cores
% 0.90/0.79 # Starting new_bool_1 with 300s (1) cores
% 0.90/0.79 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.90/0.79 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.90/0.79 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.90/0.79 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.90/0.79 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 8954 completed with status 0
% 0.90/0.79 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.90/0.79 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.90/0.79 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.90/0.79 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.90/0.79 # Starting new_bool_3 with 300s (1) cores
% 0.90/0.79 # Starting new_bool_1 with 300s (1) cores
% 0.90/0.79 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.90/0.79 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.90/0.79 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.90/0.79 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.90/0.79 # Preprocessing time : 0.010 s
% 0.90/0.79 # Presaturation interreduction done
% 0.90/0.79
% 0.90/0.79 # Proof found!
% 0.90/0.79 # SZS status Theorem
% 0.90/0.79 # SZS output start CNFRefutation
% See solution above
% 0.90/0.79 # Parsed axioms : 1267
% 0.90/0.79 # Removed by relevancy pruning/SinE : 801
% 0.90/0.79 # Initial clauses : 655
% 0.90/0.79 # Removed in clause preprocessing : 14
% 0.90/0.79 # Initial clauses in saturation : 641
% 0.90/0.79 # Processed clauses : 4736
% 0.90/0.79 # ...of these trivial : 73
% 0.90/0.79 # ...subsumed : 3144
% 0.90/0.79 # ...remaining for further processing : 1519
% 0.90/0.79 # Other redundant clauses eliminated : 375
% 0.90/0.79 # Clauses deleted for lack of memory : 0
% 0.90/0.79 # Backward-subsumed : 23
% 0.90/0.79 # Backward-rewritten : 22
% 0.90/0.79 # Generated clauses : 19328
% 0.90/0.79 # ...of the previous two non-redundant : 16548
% 0.90/0.79 # ...aggressively subsumed : 0
% 0.90/0.79 # Contextual simplify-reflections : 2
% 0.90/0.79 # Paramodulations : 18936
% 0.90/0.79 # Factorizations : 11
% 0.90/0.79 # NegExts : 0
% 0.90/0.79 # Equation resolutions : 391
% 0.90/0.79 # Disequality decompositions : 0
% 0.90/0.79 # Total rewrite steps : 11564
% 0.90/0.79 # ...of those cached : 10354
% 0.90/0.79 # Propositional unsat checks : 0
% 0.90/0.79 # Propositional check models : 0
% 0.90/0.79 # Propositional check unsatisfiable : 0
% 0.90/0.79 # Propositional clauses : 0
% 0.90/0.79 # Propositional clauses after purity: 0
% 0.90/0.79 # Propositional unsat core size : 0
% 0.90/0.79 # Propositional preprocessing time : 0.000
% 0.90/0.79 # Propositional encoding time : 0.000
% 0.90/0.79 # Propositional solver time : 0.000
% 0.90/0.79 # Success case prop preproc time : 0.000
% 0.90/0.79 # Success case prop encoding time : 0.000
% 0.90/0.79 # Success case prop solver time : 0.000
% 0.90/0.79 # Current number of processed clauses : 914
% 0.90/0.79 # Positive orientable unit clauses : 203
% 0.90/0.79 # Positive unorientable unit clauses: 9
% 0.90/0.79 # Negative unit clauses : 125
% 0.90/0.79 # Non-unit-clauses : 577
% 0.90/0.79 # Current number of unprocessed clauses: 12807
% 0.90/0.79 # ...number of literals in the above : 28723
% 0.90/0.79 # Current number of archived formulas : 0
% 0.90/0.79 # Current number of archived clauses : 540
% 0.90/0.79 # Clause-clause subsumption calls (NU) : 69994
% 0.90/0.79 # Rec. Clause-clause subsumption calls : 48753
% 0.90/0.79 # Non-unit clause-clause subsumptions : 1207
% 0.90/0.79 # Unit Clause-clause subsumption calls : 3358
% 0.90/0.79 # Rewrite failures with RHS unbound : 0
% 0.90/0.79 # BW rewrite match attempts : 1804
% 0.90/0.79 # BW rewrite match successes : 249
% 0.90/0.79 # Condensation attempts : 0
% 0.90/0.79 # Condensation successes : 0
% 0.90/0.79 # Termbank termtop insertions : 327197
% 0.90/0.79 # Search garbage collected termcells : 11950
% 0.90/0.79
% 0.90/0.79 # -------------------------------------------------
% 0.90/0.79 # User time : 0.275 s
% 0.90/0.79 # System time : 0.015 s
% 0.90/0.79 # Total time : 0.290 s
% 0.90/0.79 # Maximum resident set size: 4792 pages
% 0.90/0.79
% 0.90/0.79 # -------------------------------------------------
% 0.90/0.79 # User time : 0.295 s
% 0.90/0.79 # System time : 0.019 s
% 0.90/0.79 # Total time : 0.314 s
% 0.90/0.79 # Maximum resident set size: 3132 pages
% 0.90/0.79 % E---3.1 exiting
% 0.90/0.79 % E exiting
%------------------------------------------------------------------------------