TSTP Solution File: SWW204+1 by E-SAT---3.2.0
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%------------------------------------------------------------------------------
% File : E-SAT---3.2.0
% Problem : SWW204+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d SAT
% Computer : n024.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 0.44s 0.82s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 40 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 13 ~; 13 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 25 ( 1 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
file('/export/starexec/sandbox2/tmp/tmp.ox0OvWpex4/E---3.1_19829.p',conj_0) ).
fof(fact_real__le__linear,axiom,
! [X7,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8),X7))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X8)) ),
file('/export/starexec/sandbox2/tmp/tmp.ox0OvWpex4/E---3.1_19829.p',fact_real__le__linear) ).
fof(fact_real__le__antisym,axiom,
! [X7,X8] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8),X7))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X7),X8))
=> X8 = X7 ) ),
file('/export/starexec/sandbox2/tmp/tmp.ox0OvWpex4/E---3.1_19829.p',fact_real__le__antisym) ).
fof(fact_real__le__trans,axiom,
! [X9,X10,X11] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11),X10))
=> ( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10),X9))
=> hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X11),X9)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ox0OvWpex4/E---3.1_19829.p',fact_real__le__trans) ).
fof(fact__0960_A_060_061_Acmod_A_Is_A0_J_096,axiom,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
file('/export/starexec/sandbox2/tmp/tmp.ox0OvWpex4/E---3.1_19829.p',fact__0960_A_060_061_Acmod_A_Is_A0_J_096) ).
fof(fact_assms,axiom,
! [X6] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X6))),v_r)),
file('/export/starexec/sandbox2/tmp/tmp.ox0OvWpex4/E---3.1_19829.p',fact_assms) ).
fof(c_0_6,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_7,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X126,X127] :
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X127),X126))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X126),X127)) ),
inference(variable_rename,[status(thm)],[fact_real__le__linear]) ).
fof(c_0_9,plain,
! [X131,X132] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X132),X131))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X131),X132))
| X132 = X131 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__antisym])])]) ).
fof(c_0_10,plain,
! [X128,X129,X130] :
( ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X130),X129))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X129),X128))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X130),X128)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__le__trans])])]) ).
cnf(c_0_11,negated_conjecture,
~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),v_r)),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_12,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
| hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13,plain,
( X1 = X2
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X1)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))),
inference(split_conjunct,[status(thm)],[fact__0960_A_060_061_Acmod_A_Is_A0_J_096]) ).
cnf(c_0_15,plain,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X3))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),X2))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2),X3)) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_r),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
fof(c_0_17,plain,
! [X124] : hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X124))),v_r)),
inference(variable_rename,[status(thm)],[fact_assms]) ).
cnf(c_0_18,plain,
( c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,negated_conjecture,
( hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)))
| ~ hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1),v_r)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
hBOOL(hAPP(c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,X1))),v_r)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_21,negated_conjecture,
c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(v_s,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).
cnf(c_0_22,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW204+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.12 % Command : run_E %s %d SAT
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 04:35:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.38/0.60 Running first-order model finding
% 0.38/0.60 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.ox0OvWpex4/E---3.1_19829.p
% 0.44/0.82 # Version: 3.2.0
% 0.44/0.82 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.44/0.82 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.82 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.82 # Starting new_bool_3 with 300s (1) cores
% 0.44/0.82 # Starting new_bool_1 with 300s (1) cores
% 0.44/0.82 # Starting sh5l with 300s (1) cores
% 0.44/0.82 # new_bool_1 with pid 19909 completed with status 0
% 0.44/0.82 # Result found by new_bool_1
% 0.44/0.82 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.44/0.82 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.82 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.82 # Starting new_bool_3 with 300s (1) cores
% 0.44/0.82 # Starting new_bool_1 with 300s (1) cores
% 0.44/0.82 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.82 # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.44/0.82 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.82 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.44/0.82 # G-E--_301_C18_F1_URBAN_S5PRR_S0Y with pid 19911 completed with status 0
% 0.44/0.82 # Result found by G-E--_301_C18_F1_URBAN_S5PRR_S0Y
% 0.44/0.82 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.44/0.82 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.82 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.44/0.82 # Starting new_bool_3 with 300s (1) cores
% 0.44/0.82 # Starting new_bool_1 with 300s (1) cores
% 0.44/0.82 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.44/0.82 # Search class: FGHSM-FSLM32-DFFFFFNN
% 0.44/0.82 # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.82 # Starting G-E--_301_C18_F1_URBAN_S5PRR_S0Y with 23s (1) cores
% 0.44/0.82 # Preprocessing time : 0.011 s
% 0.44/0.82
% 0.44/0.82 # Proof found!
% 0.44/0.82 # SZS status Theorem
% 0.44/0.82 # SZS output start CNFRefutation
% See solution above
% 0.44/0.82 # Parsed axioms : 1264
% 0.44/0.82 # Removed by relevancy pruning/SinE : 984
% 0.44/0.82 # Initial clauses : 416
% 0.44/0.82 # Removed in clause preprocessing : 18
% 0.44/0.82 # Initial clauses in saturation : 398
% 0.44/0.82 # Processed clauses : 411
% 0.44/0.82 # ...of these trivial : 6
% 0.44/0.82 # ...subsumed : 55
% 0.44/0.82 # ...remaining for further processing : 350
% 0.44/0.82 # Other redundant clauses eliminated : 63
% 0.44/0.82 # Clauses deleted for lack of memory : 0
% 0.44/0.82 # Backward-subsumed : 3
% 0.44/0.82 # Backward-rewritten : 2
% 0.44/0.82 # Generated clauses : 6495
% 0.44/0.82 # ...of the previous two non-redundant : 5755
% 0.44/0.82 # ...aggressively subsumed : 0
% 0.44/0.82 # Contextual simplify-reflections : 1
% 0.44/0.82 # Paramodulations : 6407
% 0.44/0.82 # Factorizations : 6
% 0.44/0.82 # NegExts : 0
% 0.44/0.82 # Equation resolutions : 82
% 0.44/0.82 # Disequality decompositions : 0
% 0.44/0.82 # Total rewrite steps : 2211
% 0.44/0.82 # ...of those cached : 1550
% 0.44/0.82 # Propositional unsat checks : 0
% 0.44/0.82 # Propositional check models : 0
% 0.44/0.82 # Propositional check unsatisfiable : 0
% 0.44/0.82 # Propositional clauses : 0
% 0.44/0.82 # Propositional clauses after purity: 0
% 0.44/0.82 # Propositional unsat core size : 0
% 0.44/0.82 # Propositional preprocessing time : 0.000
% 0.44/0.82 # Propositional encoding time : 0.000
% 0.44/0.82 # Propositional solver time : 0.000
% 0.44/0.82 # Success case prop preproc time : 0.000
% 0.44/0.82 # Success case prop encoding time : 0.000
% 0.44/0.82 # Success case prop solver time : 0.000
% 0.44/0.82 # Current number of processed clauses : 334
% 0.44/0.82 # Positive orientable unit clauses : 81
% 0.44/0.82 # Positive unorientable unit clauses: 5
% 0.44/0.82 # Negative unit clauses : 12
% 0.44/0.82 # Non-unit-clauses : 236
% 0.44/0.82 # Current number of unprocessed clauses: 5732
% 0.44/0.82 # ...number of literals in the above : 16592
% 0.44/0.82 # Current number of archived formulas : 0
% 0.44/0.82 # Current number of archived clauses : 5
% 0.44/0.82 # Clause-clause subsumption calls (NU) : 3403
% 0.44/0.82 # Rec. Clause-clause subsumption calls : 3239
% 0.44/0.82 # Non-unit clause-clause subsumptions : 55
% 0.44/0.82 # Unit Clause-clause subsumption calls : 353
% 0.44/0.82 # Rewrite failures with RHS unbound : 0
% 0.44/0.82 # BW rewrite match attempts : 389
% 0.44/0.82 # BW rewrite match successes : 34
% 0.44/0.82 # Condensation attempts : 0
% 0.44/0.82 # Condensation successes : 0
% 0.44/0.82 # Termbank termtop insertions : 220406
% 0.44/0.82 # Search garbage collected termcells : 11331
% 0.44/0.82
% 0.44/0.82 # -------------------------------------------------
% 0.44/0.82 # User time : 0.157 s
% 0.44/0.82 # System time : 0.018 s
% 0.44/0.82 # Total time : 0.175 s
% 0.44/0.82 # Maximum resident set size: 4260 pages
% 0.44/0.82
% 0.44/0.82 # -------------------------------------------------
% 0.44/0.82 # User time : 0.181 s
% 0.44/0.82 # System time : 0.020 s
% 0.44/0.82 # Total time : 0.201 s
% 0.44/0.82 # Maximum resident set size: 3244 pages
% 0.44/0.82 % E---3.1 exiting
% 0.44/0.82 % E exiting
%------------------------------------------------------------------------------