TSTP Solution File: SWW205+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW205+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n008.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 18:13:49 EDT 2024
% Result : Theorem 226.21s 29.15s
% Output : CNFRefutation 226.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 20 unt; 0 def)
% Number of atoms : 33 ( 8 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 6 |; 1 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-5 aty)
% Number of variables : 40 ( 7 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
file('/export/starexec/sandbox2/tmp/tmp.K6PYff62I5/E---3.1_12355.p',conj_0) ).
fof(fact_BseqI2_H,axiom,
! [X44,X8,X45,X9] :
( class_RealVector_Oreal__normed__vector(X9)
=> ( ! [X5] :
( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X45,X5)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X9,hAPP(X8,X5)),X44) )
=> c_SEQ_OBseq(X9,X8) ) ),
file('/export/starexec/sandbox2/tmp/tmp.K6PYff62I5/E---3.1_12355.p',fact_BseqI2_H) ).
fof(help_c__COMBB__1,axiom,
! [X112,X113,X64,X37,X9,X33] : hAPP(c_COMBB(X33,X9,X37,X64,X113),X112) = hAPP(X64,hAPP(X113,X112)),
file('/export/starexec/sandbox2/tmp/tmp.K6PYff62I5/E---3.1_12355.p',help_c__COMBB__1) ).
fof(fact_real__norm__def,axiom,
! [X21] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X21) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X21),
file('/export/starexec/sandbox2/tmp/tmp.K6PYff62I5/E---3.1_12355.p',fact_real__norm__def) ).
fof(fact_th,axiom,
! [X5] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,hAPP(v_s,X5))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
file('/export/starexec/sandbox2/tmp/tmp.K6PYff62I5/E---3.1_12355.p',fact_th) ).
fof(arity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.K6PYff62I5/E---3.1_12355.p',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(fact_complex__Im__i,axiom,
hAPP(c_Complex_OIm,c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.K6PYff62I5/E---3.1_12355.p',fact_complex__Im__i) ).
fof(c_0_7,negated_conjecture,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_8,negated_conjecture,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
inference(fof_nnf,[status(thm)],[c_0_7]) ).
fof(c_0_9,plain,
! [X637,X638,X639,X640] :
( ( c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X639,esk16_4(X637,X638,X639,X640))
| c_SEQ_OBseq(X640,X638)
| ~ class_RealVector_Oreal__normed__vector(X640) )
& ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X640,hAPP(X638,esk16_4(X637,X638,X639,X640))),X637)
| c_SEQ_OBseq(X640,X638)
| ~ class_RealVector_Oreal__normed__vector(X640) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_BseqI2_H])])])])]) ).
fof(c_0_10,plain,
! [X2877,X2878,X2879,X2880,X2881,X2882] : hAPP(c_COMBB(X2882,X2881,X2880,X2879,X2878),X2877) = hAPP(X2879,hAPP(X2878,X2877)),
inference(variable_rename,[status(thm)],[help_c__COMBB__1]) ).
fof(c_0_11,plain,
! [X187] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X187) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X187),
inference(variable_rename,[status(thm)],[fact_real__norm__def]) ).
fof(c_0_12,plain,
! [X131] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,hAPP(v_s,X131))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(variable_rename,[status(thm)],[fact_th]) ).
cnf(c_0_13,negated_conjecture,
~ c_SEQ_OBseq(tc_RealDef_Oreal,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____))),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( c_SEQ_OBseq(X1,X2)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(X1,hAPP(X2,esk16_4(X3,X2,X4,X1))),X3)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__RealVector_Oreal__normed__vector]) ).
cnf(c_0_16,plain,
hAPP(c_COMBB(X1,X2,X3,X4,X5),X6) = hAPP(X4,hAPP(X5,X6)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X1) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X1),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,hAPP(v_s,X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
hAPP(c_Complex_OIm,c_Complex_Oii) = c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[fact_complex__Im__i]) ).
cnf(c_0_20,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,hAPP(v_s,hAPP(v_f____,esk16_4(X1,c_COMBB(tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_Nat_Onat,c_Complex_ORe,c_COMBB(tc_Nat_Onat,tc_Complex_Ocomplex,tc_Nat_Onat,v_s,v_f____)),X2,tc_RealDef_Oreal))))),X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]),c_0_16]),c_0_17])]) ).
cnf(c_0_21,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(c_Complex_ORe,hAPP(v_s,X1))),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal),v_r),hAPP(c_Complex_OIm,c_Complex_Oii))),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_20,c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW205+1 : TPTP v8.2.0. Released v5.2.0.
% 0.03/0.12 % Command : run_E %s %d SAT
% 0.13/0.33 % Computer : n008.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 : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Wed Jun 19 09:05:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.42/0.60 Running first-order model finding
% 0.42/0.60 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.K6PYff62I5/E---3.1_12355.p
% 226.21/29.15 # Version: 3.2.0
% 226.21/29.15 # Preprocessing class: FMLMSMSMSSSNFFN.
% 226.21/29.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 226.21/29.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 226.21/29.15 # Starting new_bool_3 with 300s (1) cores
% 226.21/29.15 # Starting new_bool_1 with 300s (1) cores
% 226.21/29.15 # Starting sh5l with 300s (1) cores
% 226.21/29.15 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12432 completed with status 0
% 226.21/29.15 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 226.21/29.15 # Preprocessing class: FMLMSMSMSSSNFFN.
% 226.21/29.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 226.21/29.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 226.21/29.15 # No SInE strategy applied
% 226.21/29.15 # Search class: FGHSM-SSLM32-DFFFFFNN
% 226.21/29.15 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 226.21/29.15 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 226.21/29.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 226.21/29.15 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 226.21/29.15 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 226.21/29.15 # Starting G-E--_208_B07_F1_S5PRR_SE_CS_SP_PS_S0Y with 113s (1) cores
% 226.21/29.15 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with pid 12442 completed with status 0
% 226.21/29.15 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI
% 226.21/29.15 # Preprocessing class: FMLMSMSMSSSNFFN.
% 226.21/29.15 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 226.21/29.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 226.21/29.15 # No SInE strategy applied
% 226.21/29.15 # Search class: FGHSM-SSLM32-DFFFFFNN
% 226.21/29.15 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 226.21/29.15 # Starting G-E--_208_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S04AN with 113s (1) cores
% 226.21/29.15 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 226.21/29.15 # Starting G-E--_208_B07_F1_SE_CS_SP_PS_S4d with 113s (1) cores
% 226.21/29.15 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_RG_S04AI with 113s (1) cores
% 226.21/29.15 # Preprocessing time : 0.024 s
% 226.21/29.15 # Presaturation interreduction done
% 226.21/29.15
% 226.21/29.15 # Proof found!
% 226.21/29.15 # SZS status Theorem
% 226.21/29.15 # SZS output start CNFRefutation
% See solution above
% 226.21/29.15 # Parsed axioms : 1274
% 226.21/29.15 # Removed by relevancy pruning/SinE : 0
% 226.21/29.15 # Initial clauses : 1676
% 226.21/29.15 # Removed in clause preprocessing : 46
% 226.21/29.15 # Initial clauses in saturation : 1630
% 226.21/29.15 # Processed clauses : 75906
% 226.21/29.15 # ...of these trivial : 1123
% 226.21/29.15 # ...subsumed : 61302
% 226.21/29.15 # ...remaining for further processing : 13481
% 226.21/29.15 # Other redundant clauses eliminated : 7200
% 226.21/29.15 # Clauses deleted for lack of memory : 0
% 226.21/29.15 # Backward-subsumed : 324
% 226.21/29.15 # Backward-rewritten : 318
% 226.21/29.15 # Generated clauses : 1641069
% 226.21/29.15 # ...of the previous two non-redundant : 1547257
% 226.21/29.15 # ...aggressively subsumed : 0
% 226.21/29.15 # Contextual simplify-reflections : 14
% 226.21/29.15 # Paramodulations : 1633750
% 226.21/29.15 # Factorizations : 29
% 226.21/29.15 # NegExts : 0
% 226.21/29.15 # Equation resolutions : 7300
% 226.21/29.15 # Disequality decompositions : 0
% 226.21/29.15 # Total rewrite steps : 501920
% 226.21/29.15 # ...of those cached : 441547
% 226.21/29.15 # Propositional unsat checks : 2
% 226.21/29.15 # Propositional check models : 0
% 226.21/29.15 # Propositional check unsatisfiable : 0
% 226.21/29.15 # Propositional clauses : 0
% 226.21/29.15 # Propositional clauses after purity: 0
% 226.21/29.15 # Propositional unsat core size : 0
% 226.21/29.15 # Propositional preprocessing time : 0.000
% 226.21/29.15 # Propositional encoding time : 2.972
% 226.21/29.15 # Propositional solver time : 1.235
% 226.21/29.15 # Success case prop preproc time : 0.000
% 226.21/29.15 # Success case prop encoding time : 0.000
% 226.21/29.15 # Success case prop solver time : 0.000
% 226.21/29.15 # Current number of processed clauses : 11330
% 226.21/29.15 # Positive orientable unit clauses : 2224
% 226.21/29.15 # Positive unorientable unit clauses: 311
% 226.21/29.15 # Negative unit clauses : 3716
% 226.21/29.15 # Non-unit-clauses : 5079
% 226.21/29.15 # Current number of unprocessed clauses: 1472634
% 226.21/29.15 # ...number of literals in the above : 2430909
% 226.21/29.15 # Current number of archived formulas : 0
% 226.21/29.15 # Current number of archived clauses : 2026
% 226.21/29.15 # Clause-clause subsumption calls (NU) : 1534450
% 226.21/29.15 # Rec. Clause-clause subsumption calls : 1208909
% 226.21/29.15 # Non-unit clause-clause subsumptions : 9745
% 226.21/29.15 # Unit Clause-clause subsumption calls : 1554664
% 226.21/29.15 # Rewrite failures with RHS unbound : 0
% 226.21/29.15 # BW rewrite match attempts : 201887
% 226.21/29.15 # BW rewrite match successes : 1123
% 226.21/29.15 # Condensation attempts : 0
% 226.21/29.15 # Condensation successes : 0
% 226.21/29.15 # Termbank termtop insertions : 48566611
% 226.21/29.15 # Search garbage collected termcells : 19243
% 226.21/29.15
% 226.21/29.15 # -------------------------------------------------
% 226.21/29.15 # User time : 27.100 s
% 226.21/29.15 # System time : 0.991 s
% 226.21/29.15 # Total time : 28.090 s
% 226.21/29.15 # Maximum resident set size: 8244 pages
% 226.21/29.15
% 226.21/29.15 # -------------------------------------------------
% 226.21/29.15 # User time : 136.474 s
% 226.21/29.15 # System time : 4.381 s
% 226.21/29.15 # Total time : 140.855 s
% 226.21/29.15 # Maximum resident set size: 3132 pages
% 226.21/29.15 % E---3.1 exiting
% 226.21/29.15 % E exiting
%------------------------------------------------------------------------------