TSTP Solution File: SWW216+1 by E-SAT---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n014.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 20:10:47 EDT 2023
% Result : Theorem 0.41s 0.93s
% Output : CNFRefutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 10 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 62 ( 6 avg)
% Number of connectives : 126 ( 46 ~; 52 |; 16 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_less__divide__eq,axiom,
! [X18,X16,X17,X10] :
( class_Fields_Olinordered__field__inverse__zero(X10)
=> ( c_Orderings_Oord__class_Oless(X10,X17,c_Rings_Oinverse__class_Odivide(X10,X16,X18))
<=> ( ( c_Orderings_Oord__class_Oless(X10,c_Groups_Ozero__class_Ozero(X10),X18)
=> c_Orderings_Oord__class_Oless(X10,hAPP(c_Groups_Otimes__class_Otimes(X10,X17),X18),X16) )
& ( ~ c_Orderings_Oord__class_Oless(X10,c_Groups_Ozero__class_Ozero(X10),X18)
=> ( ( c_Orderings_Oord__class_Oless(X10,X18,c_Groups_Ozero__class_Ozero(X10))
=> c_Orderings_Oord__class_Oless(X10,X16,hAPP(c_Groups_Otimes__class_Otimes(X10,X17),X18)) )
& ( ~ c_Orderings_Oord__class_Oless(X10,X18,c_Groups_Ozero__class_Ozero(X10))
=> c_Orderings_Oord__class_Oless(X10,X17,c_Groups_Ozero__class_Ozero(X10)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.xCH9uBeeuK/E---3.1_4497.p',fact_less__divide__eq) ).
fof(conj_0,conjecture,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
file('/export/starexec/sandbox2/tmp/tmp.xCH9uBeeuK/E---3.1_4497.p',conj_0) ).
fof(arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero,axiom,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/tmp.xCH9uBeeuK/E---3.1_4497.p',arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero) ).
fof(fact_H_I3_J,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
file('/export/starexec/sandbox2/tmp/tmp.xCH9uBeeuK/E---3.1_4497.p',fact_H_I3_J) ).
fof(fact_m_I1_J,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
file('/export/starexec/sandbox2/tmp/tmp.xCH9uBeeuK/E---3.1_4497.p',fact_m_I1_J) ).
fof(c_0_5,plain,
! [X18,X16,X17,X10] :
( class_Fields_Olinordered__field__inverse__zero(X10)
=> ( c_Orderings_Oord__class_Oless(X10,X17,c_Rings_Oinverse__class_Odivide(X10,X16,X18))
<=> ( ( c_Orderings_Oord__class_Oless(X10,c_Groups_Ozero__class_Ozero(X10),X18)
=> c_Orderings_Oord__class_Oless(X10,hAPP(c_Groups_Otimes__class_Otimes(X10,X17),X18),X16) )
& ( ~ c_Orderings_Oord__class_Oless(X10,c_Groups_Ozero__class_Ozero(X10),X18)
=> ( ( c_Orderings_Oord__class_Oless(X10,X18,c_Groups_Ozero__class_Ozero(X10))
=> c_Orderings_Oord__class_Oless(X10,X16,hAPP(c_Groups_Otimes__class_Otimes(X10,X17),X18)) )
& ( ~ c_Orderings_Oord__class_Oless(X10,X18,c_Groups_Ozero__class_Ozero(X10))
=> c_Orderings_Oord__class_Oless(X10,X17,c_Groups_Ozero__class_Ozero(X10)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[fact_less__divide__eq]) ).
fof(c_0_6,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
fof(c_0_7,plain,
! [X189,X190,X191,X192] :
( ( ~ c_Orderings_Oord__class_Oless(X192,c_Groups_Ozero__class_Ozero(X192),X189)
| c_Orderings_Oord__class_Oless(X192,hAPP(c_Groups_Otimes__class_Otimes(X192,X191),X189),X190)
| ~ c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( ~ c_Orderings_Oord__class_Oless(X192,X189,c_Groups_Ozero__class_Ozero(X192))
| c_Orderings_Oord__class_Oless(X192,X190,hAPP(c_Groups_Otimes__class_Otimes(X192,X191),X189))
| c_Orderings_Oord__class_Oless(X192,c_Groups_Ozero__class_Ozero(X192),X189)
| ~ c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( c_Orderings_Oord__class_Oless(X192,X189,c_Groups_Ozero__class_Ozero(X192))
| c_Orderings_Oord__class_Oless(X192,X191,c_Groups_Ozero__class_Ozero(X192))
| c_Orderings_Oord__class_Oless(X192,c_Groups_Ozero__class_Ozero(X192),X189)
| ~ c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( ~ c_Orderings_Oord__class_Oless(X192,c_Groups_Ozero__class_Ozero(X192),X189)
| c_Orderings_Oord__class_Oless(X192,c_Groups_Ozero__class_Ozero(X192),X189)
| c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( ~ c_Orderings_Oord__class_Oless(X192,X189,c_Groups_Ozero__class_Ozero(X192))
| c_Orderings_Oord__class_Oless(X192,X189,c_Groups_Ozero__class_Ozero(X192))
| c_Orderings_Oord__class_Oless(X192,c_Groups_Ozero__class_Ozero(X192),X189)
| c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( ~ c_Orderings_Oord__class_Oless(X192,X191,c_Groups_Ozero__class_Ozero(X192))
| c_Orderings_Oord__class_Oless(X192,X189,c_Groups_Ozero__class_Ozero(X192))
| c_Orderings_Oord__class_Oless(X192,c_Groups_Ozero__class_Ozero(X192),X189)
| c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( ~ c_Orderings_Oord__class_Oless(X192,X189,c_Groups_Ozero__class_Ozero(X192))
| ~ c_Orderings_Oord__class_Oless(X192,X190,hAPP(c_Groups_Otimes__class_Otimes(X192,X191),X189))
| c_Orderings_Oord__class_Oless(X192,c_Groups_Ozero__class_Ozero(X192),X189)
| c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( ~ c_Orderings_Oord__class_Oless(X192,X191,c_Groups_Ozero__class_Ozero(X192))
| ~ c_Orderings_Oord__class_Oless(X192,X190,hAPP(c_Groups_Otimes__class_Otimes(X192,X191),X189))
| c_Orderings_Oord__class_Oless(X192,c_Groups_Ozero__class_Ozero(X192),X189)
| c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( ~ c_Orderings_Oord__class_Oless(X192,c_Groups_Ozero__class_Ozero(X192),X189)
| ~ c_Orderings_Oord__class_Oless(X192,hAPP(c_Groups_Otimes__class_Otimes(X192,X191),X189),X190)
| c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( ~ c_Orderings_Oord__class_Oless(X192,X189,c_Groups_Ozero__class_Ozero(X192))
| c_Orderings_Oord__class_Oless(X192,X189,c_Groups_Ozero__class_Ozero(X192))
| ~ c_Orderings_Oord__class_Oless(X192,hAPP(c_Groups_Otimes__class_Otimes(X192,X191),X189),X190)
| c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( ~ c_Orderings_Oord__class_Oless(X192,X191,c_Groups_Ozero__class_Ozero(X192))
| c_Orderings_Oord__class_Oless(X192,X189,c_Groups_Ozero__class_Ozero(X192))
| ~ c_Orderings_Oord__class_Oless(X192,hAPP(c_Groups_Otimes__class_Otimes(X192,X191),X189),X190)
| c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( ~ c_Orderings_Oord__class_Oless(X192,X189,c_Groups_Ozero__class_Ozero(X192))
| ~ c_Orderings_Oord__class_Oless(X192,X190,hAPP(c_Groups_Otimes__class_Otimes(X192,X191),X189))
| ~ c_Orderings_Oord__class_Oless(X192,hAPP(c_Groups_Otimes__class_Otimes(X192,X191),X189),X190)
| c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) )
& ( ~ c_Orderings_Oord__class_Oless(X192,X191,c_Groups_Ozero__class_Ozero(X192))
| ~ c_Orderings_Oord__class_Oless(X192,X190,hAPP(c_Groups_Otimes__class_Otimes(X192,X191),X189))
| ~ c_Orderings_Oord__class_Oless(X192,hAPP(c_Groups_Otimes__class_Otimes(X192,X191),X189),X190)
| c_Orderings_Oord__class_Oless(X192,X191,c_Rings_Oinverse__class_Odivide(X192,X190,X189))
| ~ class_Fields_Olinordered__field__inverse__zero(X192) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
cnf(c_0_8,negated_conjecture,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal,v_da____),v_m____),v_e),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
cnf(c_0_9,plain,
( c_Orderings_Oord__class_Oless(X1,hAPP(c_Groups_Otimes__class_Otimes(X1,X3),X2),X4)
| ~ c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)
| ~ c_Orderings_Oord__class_Oless(X1,X3,c_Rings_Oinverse__class_Odivide(X1,X4,X2))
| ~ class_Fields_Olinordered__field__inverse__zero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_10,plain,
class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero]) ).
cnf(c_0_11,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_da____,c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,v_e,v_m____)),
inference(split_conjunct,[status(thm)],[fact_H_I3_J]) ).
cnf(c_0_12,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_m____),
inference(split_conjunct,[status(thm)],[fact_m_I1_J]) ).
cnf(c_0_13,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_8,c_0_9]),c_0_10]),c_0_11]),c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW216+1 : TPTP v8.1.2. Released v5.2.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 2400
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Oct 2 22:52:04 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.36/0.57 Running first-order model finding
% 0.36/0.57 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.xCH9uBeeuK/E---3.1_4497.p
% 0.41/0.93 # Version: 3.1pre001
% 0.41/0.93 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.41/0.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.41/0.93 # Starting new_bool_3 with 300s (1) cores
% 0.41/0.93 # Starting new_bool_1 with 300s (1) cores
% 0.41/0.93 # Starting sh5l with 300s (1) cores
% 0.41/0.93 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 4652 completed with status 0
% 0.41/0.93 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.41/0.93 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.41/0.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.41/0.93 # No SInE strategy applied
% 0.41/0.93 # Search class: FGHSM-SMLM32-DFFFFFNN
% 0.41/0.93 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/0.93 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 0.41/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.41/0.93 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 0.41/0.93 # Starting G-E--_208_B07CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 113s (1) cores
% 0.41/0.93 # Starting G-E--_208_B00_00_F1_SE_CS_SP_PS_S5PRR_S00EN with 113s (1) cores
% 0.41/0.93 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 4700 completed with status 0
% 0.41/0.93 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 0.41/0.93 # Preprocessing class: FMLMSMSMSSSNFFN.
% 0.41/0.93 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.41/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.41/0.93 # No SInE strategy applied
% 0.41/0.93 # Search class: FGHSM-SMLM32-DFFFFFNN
% 0.41/0.93 # Scheduled 13 strats onto 5 cores with 1500 seconds (1500 total)
% 0.41/0.93 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 113s (1) cores
% 0.41/0.93 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.41/0.93 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 113s (1) cores
% 0.41/0.93 # Preprocessing time : 0.026 s
% 0.41/0.93
% 0.41/0.93 # Proof found!
% 0.41/0.93 # SZS status Theorem
% 0.41/0.93 # SZS output start CNFRefutation
% See solution above
% 0.41/0.93 # Parsed axioms : 1250
% 0.41/0.93 # Removed by relevancy pruning/SinE : 0
% 0.41/0.93 # Initial clauses : 1821
% 0.41/0.93 # Removed in clause preprocessing : 94
% 0.41/0.93 # Initial clauses in saturation : 1727
% 0.41/0.93 # Processed clauses : 1179
% 0.41/0.93 # ...of these trivial : 20
% 0.41/0.93 # ...subsumed : 141
% 0.41/0.93 # ...remaining for further processing : 1018
% 0.41/0.93 # Other redundant clauses eliminated : 336
% 0.41/0.93 # Clauses deleted for lack of memory : 0
% 0.41/0.93 # Backward-subsumed : 0
% 0.41/0.93 # Backward-rewritten : 7
% 0.41/0.93 # Generated clauses : 17878
% 0.41/0.93 # ...of the previous two non-redundant : 15167
% 0.41/0.93 # ...aggressively subsumed : 0
% 0.41/0.93 # Contextual simplify-reflections : 1
% 0.41/0.93 # Paramodulations : 17526
% 0.41/0.93 # Factorizations : 10
% 0.41/0.93 # NegExts : 0
% 0.41/0.93 # Equation resolutions : 356
% 0.41/0.93 # Total rewrite steps : 13396
% 0.41/0.93 # Propositional unsat checks : 0
% 0.41/0.93 # Propositional check models : 0
% 0.41/0.93 # Propositional check unsatisfiable : 0
% 0.41/0.93 # Propositional clauses : 0
% 0.41/0.93 # Propositional clauses after purity: 0
% 0.41/0.93 # Propositional unsat core size : 0
% 0.41/0.93 # Propositional preprocessing time : 0.000
% 0.41/0.93 # Propositional encoding time : 0.000
% 0.41/0.93 # Propositional solver time : 0.000
% 0.41/0.93 # Success case prop preproc time : 0.000
% 0.41/0.93 # Success case prop encoding time : 0.000
% 0.41/0.93 # Success case prop solver time : 0.000
% 0.41/0.93 # Current number of processed clauses : 898
% 0.41/0.93 # Positive orientable unit clauses : 327
% 0.41/0.93 # Positive unorientable unit clauses: 5
% 0.41/0.93 # Negative unit clauses : 10
% 0.41/0.93 # Non-unit-clauses : 556
% 0.41/0.93 # Current number of unprocessed clauses: 15702
% 0.41/0.93 # ...number of literals in the above : 50651
% 0.41/0.93 # Current number of archived formulas : 0
% 0.41/0.93 # Current number of archived clauses : 10
% 0.41/0.93 # Clause-clause subsumption calls (NU) : 42740
% 0.41/0.93 # Rec. Clause-clause subsumption calls : 29006
% 0.41/0.93 # Non-unit clause-clause subsumptions : 136
% 0.41/0.93 # Unit Clause-clause subsumption calls : 12
% 0.41/0.93 # Rewrite failures with RHS unbound : 0
% 0.41/0.93 # BW rewrite match attempts : 217
% 0.41/0.93 # BW rewrite match successes : 68
% 0.41/0.93 # Condensation attempts : 0
% 0.41/0.93 # Condensation successes : 0
% 0.41/0.93 # Termbank termtop insertions : 386390
% 0.41/0.93
% 0.41/0.93 # -------------------------------------------------
% 0.41/0.93 # User time : 0.302 s
% 0.41/0.93 # System time : 0.021 s
% 0.41/0.93 # Total time : 0.324 s
% 0.41/0.93 # Maximum resident set size: 8056 pages
% 0.41/0.93
% 0.41/0.93 # -------------------------------------------------
% 0.41/0.93 # User time : 1.195 s
% 0.41/0.93 # System time : 0.084 s
% 0.41/0.93 # Total time : 1.279 s
% 0.41/0.93 # Maximum resident set size: 3064 pages
% 0.41/0.93 % E---3.1 exiting
%------------------------------------------------------------------------------