TSTP Solution File: SWW215+1 by E-SAT---3.2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW215+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n017.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 18:13:51 EDT 2024
% Result : Theorem 0.49s 1.05s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 16 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 62 ( 26 ~; 23 |; 4 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/tmp/tmp.i7DoBXAhZB/E---3.1_8335.p',conj_0) ).
fof(fact_real__le__linear,axiom,
! [X12,X13] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X13,X12)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X12,X13) ),
file('/export/starexec/sandbox/tmp/tmp.i7DoBXAhZB/E---3.1_8335.p',fact_real__le__linear) ).
fof(fact_xt1_I6_J,axiom,
! [X13,X7,X22,X4] :
( class_Orderings_Oorder(X4)
=> ( c_Orderings_Oord__class_Oless__eq(X4,X22,X7)
=> ( c_Orderings_Oord__class_Oless__eq(X4,X13,X22)
=> c_Orderings_Oord__class_Oless__eq(X4,X13,X7) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.i7DoBXAhZB/E---3.1_8335.p',fact_xt1_I6_J) ).
fof(fact_order__less__imp__le,axiom,
! [X22,X7,X4] :
( class_Orderings_Opreorder(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X7,X22)
=> c_Orderings_Oord__class_Oless__eq(X4,X7,X22) ) ),
file('/export/starexec/sandbox/tmp/tmp.i7DoBXAhZB/E---3.1_8335.p',fact_order__less__imp__le) ).
fof(fact_less__le__not__le,axiom,
! [X21,X17,X4] :
( class_Orderings_Opreorder(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X17,X21)
<=> ( c_Orderings_Oord__class_Oless__eq(X4,X17,X21)
& ~ c_Orderings_Oord__class_Oless__eq(X4,X21,X17) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.i7DoBXAhZB/E---3.1_8335.p',fact_less__le__not__le) ).
fof(arity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.i7DoBXAhZB/E---3.1_8335.p',arity_RealDef__Oreal__Orderings_Oorder) ).
fof(fact_H_I5_J,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
file('/export/starexec/sandbox/tmp/tmp.i7DoBXAhZB/E---3.1_8335.p',fact_H_I5_J) ).
fof(arity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.i7DoBXAhZB/E---3.1_8335.p',arity_RealDef__Oreal__Orderings_Opreorder) ).
fof(fact_H_I2_J,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox/tmp/tmp.i7DoBXAhZB/E---3.1_8335.p',fact_H_I2_J) ).
fof(c_0_9,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_10,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
fof(c_0_11,plain,
! [X113,X114] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X114,X113)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X113,X114) ),
inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).
fof(c_0_12,plain,
! [X279,X280,X281,X282] :
( ~ class_Orderings_Oorder(X282)
| ~ c_Orderings_Oord__class_Oless__eq(X282,X281,X280)
| ~ c_Orderings_Oord__class_Oless__eq(X282,X279,X281)
| c_Orderings_Oord__class_Oless__eq(X282,X279,X280) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_xt1_I6_J])])]) ).
cnf(c_0_13,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X2)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_15,plain,
! [X223,X224,X225] :
( ~ class_Orderings_Opreorder(X225)
| ~ c_Orderings_Oord__class_Oless(X225,X224,X223)
| c_Orderings_Oord__class_Oless__eq(X225,X224,X223) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__less__imp__le])])]) ).
fof(c_0_16,plain,
! [X21,X17,X4] :
( class_Orderings_Opreorder(X4)
=> ( c_Orderings_Oord__class_Oless(X4,X17,X21)
<=> ( c_Orderings_Oord__class_Oless__eq(X4,X17,X21)
& ~ c_Orderings_Oord__class_Oless__eq(X4,X21,X17) ) ) ),
inference(fof_simplification,[status(thm)],[fact_less__le__not__le]) ).
cnf(c_0_17,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X4,X3)
| ~ class_Orderings_Oorder(X1)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X4,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z))),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Oorder]) ).
cnf(c_0_20,plain,
( c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ class_Orderings_Opreorder(X1)
| ~ c_Orderings_Oord__class_Oless(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_21,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
inference(split_conjunct,[status(thm)],[fact_H_I5_J]) ).
cnf(c_0_22,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Orderings_Opreorder]) ).
fof(c_0_23,plain,
! [X247,X248,X249] :
( ( c_Orderings_Oord__class_Oless__eq(X249,X248,X247)
| ~ c_Orderings_Oord__class_Oless(X249,X248,X247)
| ~ class_Orderings_Opreorder(X249) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X249,X247,X248)
| ~ c_Orderings_Oord__class_Oless(X249,X248,X247)
| ~ class_Orderings_Opreorder(X249) )
& ( ~ c_Orderings_Oord__class_Oless__eq(X249,X248,X247)
| c_Orderings_Oord__class_Oless__eq(X249,X247,X248)
| c_Orderings_Oord__class_Oless(X249,X248,X247)
| ~ class_Orderings_Opreorder(X249) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_24,negated_conjecture,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X1)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).
cnf(c_0_25,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,v_w____,v_z)),v_da____),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).
cnf(c_0_26,plain,
( ~ c_Orderings_Oord__class_Oless__eq(X1,X2,X3)
| ~ c_Orderings_Oord__class_Oless(X1,X3,X2)
| ~ class_Orderings_Opreorder(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_27,negated_conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_da____),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(split_conjunct,[status(thm)],[fact_H_I2_J]) ).
cnf(c_0_29,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_27]),c_0_22]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW215+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.13 % Command : run_E %s %d SAT
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 08:59:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.47/0.64 Running first-order model finding
% 0.47/0.64 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.i7DoBXAhZB/E---3.1_8335.p
% 0.49/1.05 # Version: 3.2.0
% 0.49/1.05 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.49/1.05 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/1.05 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.49/1.05 # Starting new_bool_3 with 300s (1) cores
% 0.49/1.05 # Starting new_bool_1 with 300s (1) cores
% 0.49/1.05 # Starting sh5l with 300s (1) cores
% 0.49/1.05 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8412 completed with status 0
% 0.49/1.05 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.49/1.05 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.49/1.05 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/1.05 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.49/1.05 # No SInE strategy applied
% 0.49/1.05 # Search class: FGHSM-SMLM32-DFFFFFNN
% 0.49/1.05 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.49/1.05 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 0.49/1.05 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.49/1.05 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 0.49/1.05 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.49/1.05 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 0.49/1.05 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 8420 completed with status 0
% 0.49/1.05 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.49/1.05 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.49/1.05 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.49/1.05 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.49/1.05 # No SInE strategy applied
% 0.49/1.05 # Search class: FGHSM-SMLM32-DFFFFFNN
% 0.49/1.05 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.49/1.05 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 0.49/1.05 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.49/1.05 # Preprocessing time : 0.023 s
% 0.49/1.05 # Presaturation interreduction done
% 0.49/1.05
% 0.49/1.05 # Proof found!
% 0.49/1.05 # SZS status Theorem
% 0.49/1.05 # SZS output start CNFRefutation
% See solution above
% 0.49/1.05 # Parsed axioms : 1278
% 0.49/1.05 # Removed by relevancy pruning/SinE : 0
% 0.49/1.05 # Initial clauses : 1840
% 0.49/1.05 # Removed in clause preprocessing : 80
% 0.49/1.05 # Initial clauses in saturation : 1760
% 0.49/1.05 # Processed clauses : 2709
% 0.49/1.05 # ...of these trivial : 28
% 0.49/1.05 # ...subsumed : 330
% 0.49/1.05 # ...remaining for further processing : 2351
% 0.49/1.05 # Other redundant clauses eliminated : 185
% 0.49/1.05 # Clauses deleted for lack of memory : 0
% 0.49/1.05 # Backward-subsumed : 1
% 0.49/1.05 # Backward-rewritten : 4
% 0.49/1.05 # Generated clauses : 2224
% 0.49/1.05 # ...of the previous two non-redundant : 1655
% 0.49/1.05 # ...aggressively subsumed : 0
% 0.49/1.05 # Contextual simplify-reflections : 1
% 0.49/1.05 # Paramodulations : 2053
% 0.49/1.05 # Factorizations : 4
% 0.49/1.05 # NegExts : 0
% 0.49/1.05 # Equation resolutions : 189
% 0.49/1.05 # Disequality decompositions : 0
% 0.49/1.05 # Total rewrite steps : 1525
% 0.49/1.05 # ...of those cached : 1293
% 0.49/1.05 # Propositional unsat checks : 0
% 0.49/1.05 # Propositional check models : 0
% 0.49/1.05 # Propositional check unsatisfiable : 0
% 0.49/1.05 # Propositional clauses : 0
% 0.49/1.05 # Propositional clauses after purity: 0
% 0.49/1.05 # Propositional unsat core size : 0
% 0.49/1.05 # Propositional preprocessing time : 0.000
% 0.49/1.05 # Propositional encoding time : 0.000
% 0.49/1.05 # Propositional solver time : 0.000
% 0.49/1.05 # Success case prop preproc time : 0.000
% 0.49/1.05 # Success case prop encoding time : 0.000
% 0.49/1.05 # Success case prop solver time : 0.000
% 0.49/1.05 # Current number of processed clauses : 677
% 0.49/1.05 # Positive orientable unit clauses : 346
% 0.49/1.05 # Positive unorientable unit clauses: 1
% 0.49/1.05 # Negative unit clauses : 39
% 0.49/1.05 # Non-unit-clauses : 291
% 0.49/1.05 # Current number of unprocessed clauses: 2229
% 0.49/1.05 # ...number of literals in the above : 5578
% 0.49/1.05 # Current number of archived formulas : 0
% 0.49/1.05 # Current number of archived clauses : 1529
% 0.49/1.05 # Clause-clause subsumption calls (NU) : 173501
% 0.49/1.05 # Rec. Clause-clause subsumption calls : 87111
% 0.49/1.05 # Non-unit clause-clause subsumptions : 196
% 0.49/1.05 # Unit Clause-clause subsumption calls : 417
% 0.49/1.05 # Rewrite failures with RHS unbound : 0
% 0.49/1.05 # BW rewrite match attempts : 903
% 0.49/1.05 # BW rewrite match successes : 68
% 0.49/1.05 # Condensation attempts : 0
% 0.49/1.05 # Condensation successes : 0
% 0.49/1.05 # Termbank termtop insertions : 194113
% 0.49/1.05 # Search garbage collected termcells : 23050
% 0.49/1.05
% 0.49/1.05 # -------------------------------------------------
% 0.49/1.05 # User time : 0.317 s
% 0.49/1.05 # System time : 0.027 s
% 0.49/1.05 # Total time : 0.343 s
% 0.49/1.05 # Maximum resident set size: 8792 pages
% 0.49/1.05
% 0.49/1.05 # -------------------------------------------------
% 0.49/1.05 # User time : 1.314 s
% 0.49/1.05 # System time : 0.080 s
% 0.49/1.05 # Total time : 1.394 s
% 0.49/1.05 # Maximum resident set size: 3192 pages
% 0.49/1.05 % E---3.1 exiting
% 0.49/1.05 % E exiting
%------------------------------------------------------------------------------