TSTP Solution File: SWW179+1 by E---3.2.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.2.0
% Problem : SWW179+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n013.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 18:11:11 EDT 2024
% Result : Theorem 10.84s 2.07s
% Output : CNFRefutation 10.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 20 unt; 0 def)
% Number of atoms : 42 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 9 |; 1 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
file('/export/starexec/sandbox2/tmp/tmp.3LfhJdezCL/E---3.1_31619.p',conj_0) ).
fof(fact_not__real__square__gt__zero,axiom,
! [X9] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X9),X9))
<=> X9 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/tmp.3LfhJdezCL/E---3.1_31619.p',fact_not__real__square__gt__zero) ).
fof(fact_real__zero__not__eq__one,axiom,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.3LfhJdezCL/E---3.1_31619.p',fact_real__zero__not__eq__one) ).
fof(fact_add__strict__increasing,axiom,
! [X19,X16,X17,X8] :
( class_Groups_Oordered__comm__monoid__add(X8)
=> ( c_Orderings_Oord__class_Oless(X8,c_Groups_Ozero__class_Ozero(X8),X17)
=> ( c_Orderings_Oord__class_Oless__eq(X8,X16,X19)
=> c_Orderings_Oord__class_Oless(X8,X16,c_Groups_Oplus__class_Oplus(X8,X17,X19)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.3LfhJdezCL/E---3.1_31619.p',fact_add__strict__increasing) ).
fof(fact_real__mult__1,axiom,
! [X12] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X12) = X12,
file('/export/starexec/sandbox2/tmp/tmp.3LfhJdezCL/E---3.1_31619.p',fact_real__mult__1) ).
fof(arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,axiom,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.3LfhJdezCL/E---3.1_31619.p',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).
fof(fact__0960_A_060_061_Aabs_A_Ir_A_K_Am_J_096,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____))),
file('/export/starexec/sandbox2/tmp/tmp.3LfhJdezCL/E---3.1_31619.p',fact__0960_A_060_061_Aabs_A_Ir_A_K_Am_J_096) ).
fof(fact__0960_A_060_061_Acmod_Ac_096,axiom,
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,v_c____)),
file('/export/starexec/sandbox2/tmp/tmp.3LfhJdezCL/E---3.1_31619.p',fact__0960_A_060_061_Acmod_Ac_096) ).
fof(c_0_8,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_9,plain,
! [X9] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X9),X9))
<=> X9 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[fact_not__real__square__gt__zero]) ).
fof(c_0_10,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[fact_real__zero__not__eq__one]) ).
fof(c_0_11,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
fof(c_0_12,plain,
! [X486,X487,X488,X489] :
( ~ class_Groups_Oordered__comm__monoid__add(X489)
| ~ c_Orderings_Oord__class_Oless(X489,c_Groups_Ozero__class_Ozero(X489),X488)
| ~ c_Orderings_Oord__class_Oless__eq(X489,X487,X486)
| c_Orderings_Oord__class_Oless(X489,X487,c_Groups_Oplus__class_Oplus(X489,X488,X486)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__increasing])])]) ).
fof(c_0_13,plain,
! [X124] :
( ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X124),X124))
| X124 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) )
& ( X124 != c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X124),X124)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])]) ).
fof(c_0_14,plain,
! [X370] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X370) = X370,
inference(variable_rename,[status(thm)],[fact_real__mult__1]) ).
fof(c_0_15,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(fof_nnf,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____)),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____)))),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))
| ~ class_Groups_Oordered__comm__monoid__add(X1)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
| ~ c_Orderings_Oord__class_Oless__eq(X1,X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add]) ).
cnf(c_0_19,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),v_r),v_m____))),
inference(split_conjunct,[status(thm)],[fact__0960_A_060_061_Aabs_A_Ir_A_K_Am_J_096]) ).
cnf(c_0_20,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X1))
| X1 = c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),X1) = X1,
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) != c_Groups_Oone__class_Oone(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_c____))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_18]),c_0_19])]) ).
cnf(c_0_24,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_25,plain,
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,v_c____)),
inference(split_conjunct,[status(thm)],[fact__0960_A_060_061_Acmod_Ac_096]) ).
cnf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_17]),c_0_18]),c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW179+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n013.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 05:23:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.39/0.61 Running first-order theorem proving
% 0.39/0.61 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.3LfhJdezCL/E---3.1_31619.p
% 10.84/2.07 # Version: 3.2.0
% 10.84/2.07 # Preprocessing class: FMLMSMSMSSSNFFN.
% 10.84/2.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.84/2.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.84/2.07 # Starting new_bool_3 with 300s (1) cores
% 10.84/2.07 # Starting new_bool_1 with 300s (1) cores
% 10.84/2.07 # Starting sh5l with 300s (1) cores
% 10.84/2.07 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 31709 completed with status 0
% 10.84/2.07 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 10.84/2.07 # Preprocessing class: FMLMSMSMSSSNFFN.
% 10.84/2.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.84/2.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.84/2.07 # No SInE strategy applied
% 10.84/2.07 # Search class: FGHSM-SMLM32-DFFFFFNN
% 10.84/2.07 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 10.84/2.07 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 10.84/2.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 10.84/2.07 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 10.84/2.07 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 10.84/2.07 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 10.84/2.07 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 31719 completed with status 0
% 10.84/2.07 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 10.84/2.07 # Preprocessing class: FMLMSMSMSSSNFFN.
% 10.84/2.07 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 10.84/2.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 10.84/2.07 # No SInE strategy applied
% 10.84/2.07 # Search class: FGHSM-SMLM32-DFFFFFNN
% 10.84/2.07 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 10.84/2.07 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 10.84/2.07 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 10.84/2.07 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 10.84/2.07 # Preprocessing time : 0.022 s
% 10.84/2.07
% 10.84/2.07 # Proof found!
% 10.84/2.07 # SZS status Theorem
% 10.84/2.07 # SZS output start CNFRefutation
% See solution above
% 10.84/2.07 # Parsed axioms : 1275
% 10.84/2.07 # Removed by relevancy pruning/SinE : 0
% 10.84/2.07 # Initial clauses : 1761
% 10.84/2.07 # Removed in clause preprocessing : 50
% 10.84/2.07 # Initial clauses in saturation : 1711
% 10.84/2.07 # Processed clauses : 1873
% 10.84/2.07 # ...of these trivial : 44
% 10.84/2.07 # ...subsumed : 296
% 10.84/2.07 # ...remaining for further processing : 1533
% 10.84/2.07 # Other redundant clauses eliminated : 671
% 10.84/2.07 # Clauses deleted for lack of memory : 0
% 10.84/2.07 # Backward-subsumed : 1
% 10.84/2.07 # Backward-rewritten : 5
% 10.84/2.07 # Generated clauses : 73746
% 10.84/2.07 # ...of the previous two non-redundant : 67951
% 10.84/2.07 # ...aggressively subsumed : 0
% 10.84/2.07 # Contextual simplify-reflections : 2
% 10.84/2.07 # Paramodulations : 73054
% 10.84/2.07 # Factorizations : 10
% 10.84/2.07 # NegExts : 0
% 10.84/2.07 # Equation resolutions : 696
% 10.84/2.07 # Disequality decompositions : 0
% 10.84/2.07 # Total rewrite steps : 45376
% 10.84/2.07 # ...of those cached : 42746
% 10.84/2.07 # Propositional unsat checks : 0
% 10.84/2.07 # Propositional check models : 0
% 10.84/2.07 # Propositional check unsatisfiable : 0
% 10.84/2.07 # Propositional clauses : 0
% 10.84/2.07 # Propositional clauses after purity: 0
% 10.84/2.07 # Propositional unsat core size : 0
% 10.84/2.07 # Propositional preprocessing time : 0.000
% 10.84/2.07 # Propositional encoding time : 0.000
% 10.84/2.07 # Propositional solver time : 0.000
% 10.84/2.07 # Success case prop preproc time : 0.000
% 10.84/2.07 # Success case prop encoding time : 0.000
% 10.84/2.07 # Success case prop solver time : 0.000
% 10.84/2.07 # Current number of processed clauses : 1385
% 10.84/2.07 # Positive orientable unit clauses : 319
% 10.84/2.07 # Positive unorientable unit clauses: 12
% 10.84/2.07 # Negative unit clauses : 24
% 10.84/2.07 # Non-unit-clauses : 1030
% 10.84/2.07 # Current number of unprocessed clauses: 67774
% 10.84/2.07 # ...number of literals in the above : 234555
% 10.84/2.07 # Current number of archived formulas : 0
% 10.84/2.07 # Current number of archived clauses : 7
% 10.84/2.07 # Clause-clause subsumption calls (NU) : 86696
% 10.84/2.07 # Rec. Clause-clause subsumption calls : 55037
% 10.84/2.07 # Non-unit clause-clause subsumptions : 188
% 10.84/2.07 # Unit Clause-clause subsumption calls : 1042
% 10.84/2.07 # Rewrite failures with RHS unbound : 0
% 10.84/2.07 # BW rewrite match attempts : 675
% 10.84/2.07 # BW rewrite match successes : 81
% 10.84/2.07 # Condensation attempts : 0
% 10.84/2.07 # Condensation successes : 0
% 10.84/2.07 # Termbank termtop insertions : 1717002
% 10.84/2.07 # Search garbage collected termcells : 20869
% 10.84/2.07
% 10.84/2.07 # -------------------------------------------------
% 10.84/2.07 # User time : 1.320 s
% 10.84/2.07 # System time : 0.064 s
% 10.84/2.07 # Total time : 1.384 s
% 10.84/2.07 # Maximum resident set size: 8420 pages
% 10.84/2.07
% 10.84/2.07 # -------------------------------------------------
% 10.84/2.07 # User time : 6.415 s
% 10.84/2.07 # System time : 0.268 s
% 10.84/2.07 # Total time : 6.683 s
% 10.84/2.07 # Maximum resident set size: 3132 pages
% 10.84/2.07 % E---3.1 exiting
% 10.84/2.07 % E exiting
%------------------------------------------------------------------------------