TSTP Solution File: KLE089+1 by E---3.1
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%------------------------------------------------------------------------------
% File : E---3.1
% Problem : KLE089+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n031.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 18:04:07 EDT 2023
% Result : Theorem 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 23 unt; 0 def)
% Number of atoms : 29 ( 28 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 0 |; 1 &)
% ( 0 <=>; 1 =>; 1 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn; 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(goals,conjecture,
! [X4,X5] :
( multiplication(domain(X4),X5) = zero
<= addition(domain(X4),antidomain(X5)) = antidomain(X5) ),
file('/export/starexec/sandbox/tmp/tmp.wvNHvxWqUV/E---3.1_27018.p',goals) ).
fof(additive_identity,axiom,
! [X1] : addition(X1,zero) = X1,
file('/export/starexec/sandbox/tmp/tmp.wvNHvxWqUV/E---3.1_27018.p',additive_identity) ).
fof(additive_commutativity,axiom,
! [X1,X2] : addition(X1,X2) = addition(X2,X1),
file('/export/starexec/sandbox/tmp/tmp.wvNHvxWqUV/E---3.1_27018.p',additive_commutativity) ).
fof(domain4,axiom,
! [X4] : domain(X4) = antidomain(antidomain(X4)),
file('/export/starexec/sandbox/tmp/tmp.wvNHvxWqUV/E---3.1_27018.p',domain4) ).
fof(left_distributivity,axiom,
! [X1,X2,X3] : multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
file('/export/starexec/sandbox/tmp/tmp.wvNHvxWqUV/E---3.1_27018.p',left_distributivity) ).
fof(domain1,axiom,
! [X4] : multiplication(antidomain(X4),X4) = zero,
file('/export/starexec/sandbox/tmp/tmp.wvNHvxWqUV/E---3.1_27018.p',domain1) ).
fof(c_0_6,negated_conjecture,
~ ! [X4,X5] :
( addition(domain(X4),antidomain(X5)) = antidomain(X5)
=> multiplication(domain(X4),X5) = zero ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[goals])]) ).
fof(c_0_7,plain,
! [X11] : addition(X11,zero) = X11,
inference(variable_rename,[status(thm)],[additive_identity]) ).
fof(c_0_8,plain,
! [X6,X7] : addition(X6,X7) = addition(X7,X6),
inference(variable_rename,[status(thm)],[additive_commutativity]) ).
fof(c_0_9,negated_conjecture,
( addition(domain(esk1_0),antidomain(esk2_0)) = antidomain(esk2_0)
& multiplication(domain(esk1_0),esk2_0) != zero ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
fof(c_0_10,plain,
! [X32] : domain(X32) = antidomain(antidomain(X32)),
inference(variable_rename,[status(thm)],[domain4]) ).
fof(c_0_11,plain,
! [X21,X22,X23] : multiplication(addition(X21,X22),X23) = addition(multiplication(X21,X23),multiplication(X22,X23)),
inference(variable_rename,[status(thm)],[left_distributivity]) ).
fof(c_0_12,plain,
! [X28] : multiplication(antidomain(X28),X28) = zero,
inference(variable_rename,[status(thm)],[domain1]) ).
cnf(c_0_13,plain,
addition(X1,zero) = X1,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
cnf(c_0_14,plain,
addition(X1,X2) = addition(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_15,negated_conjecture,
addition(domain(esk1_0),antidomain(esk2_0)) = antidomain(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,plain,
domain(X1) = antidomain(antidomain(X1)),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
multiplication(addition(X1,X2),X3) = addition(multiplication(X1,X3),multiplication(X2,X3)),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_18,plain,
multiplication(antidomain(X1),X1) = zero,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
addition(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_20,negated_conjecture,
addition(antidomain(antidomain(esk1_0)),antidomain(esk2_0)) = antidomain(esk2_0),
inference(rw,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_21,negated_conjecture,
multiplication(domain(esk1_0),esk2_0) != zero,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_22,plain,
multiplication(addition(antidomain(X1),X2),X1) = multiplication(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_23,negated_conjecture,
addition(antidomain(esk2_0),antidomain(antidomain(esk1_0))) = antidomain(esk2_0),
inference(rw,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_24,negated_conjecture,
multiplication(antidomain(antidomain(esk1_0)),esk2_0) != zero,
inference(rw,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_25,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_18]),c_0_24]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE089+1 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n031.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 2400
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Oct 3 05:15:59 EDT 2023
% 0.20/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.wvNHvxWqUV/E---3.1_27018.p
% 0.20/0.49 # Version: 3.1pre001
% 0.20/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49 # Starting new_bool_3 with 300s (1) cores
% 0.20/0.49 # Starting new_bool_1 with 300s (1) cores
% 0.20/0.49 # Starting sh5l with 300s (1) cores
% 0.20/0.49 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 27133 completed with status 0
% 0.20/0.49 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.20/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49 # No SInE strategy applied
% 0.20/0.49 # Search class: FHUSM-FFSF21-MFFFFFNN
% 0.20/0.49 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.49 # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 136s (1) cores
% 0.20/0.49 # Starting G-E--_207_C18_F1_AE_CS_SP_PI_PS_S2U with 136s (1) cores
% 0.20/0.49 # G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with pid 27145 completed with status 0
% 0.20/0.49 # Result found by G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y
% 0.20/0.49 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.49 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.49 # No SInE strategy applied
% 0.20/0.49 # Search class: FHUSM-FFSF21-MFFFFFNN
% 0.20/0.49 # Scheduled 11 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.49 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.20/0.49 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.20/0.49 # Starting G-E--_092_C01_F1_AE_CS_SP_PS_CO_S0Y with 136s (1) cores
% 0.20/0.49 # Preprocessing time : 0.001 s
% 0.20/0.49 # Presaturation interreduction done
% 0.20/0.49
% 0.20/0.49 # Proof found!
% 0.20/0.49 # SZS status Theorem
% 0.20/0.49 # SZS output start CNFRefutation
% See solution above
% 0.20/0.49 # Parsed axioms : 21
% 0.20/0.49 # Removed by relevancy pruning/SinE : 0
% 0.20/0.49 # Initial clauses : 23
% 0.20/0.49 # Removed in clause preprocessing : 2
% 0.20/0.49 # Initial clauses in saturation : 21
% 0.20/0.49 # Processed clauses : 76
% 0.20/0.49 # ...of these trivial : 8
% 0.20/0.49 # ...subsumed : 10
% 0.20/0.49 # ...remaining for further processing : 58
% 0.20/0.49 # Other redundant clauses eliminated : 0
% 0.20/0.49 # Clauses deleted for lack of memory : 0
% 0.20/0.49 # Backward-subsumed : 0
% 0.20/0.49 # Backward-rewritten : 0
% 0.20/0.49 # Generated clauses : 310
% 0.20/0.49 # ...of the previous two non-redundant : 182
% 0.20/0.49 # ...aggressively subsumed : 0
% 0.20/0.49 # Contextual simplify-reflections : 0
% 0.20/0.49 # Paramodulations : 310
% 0.20/0.49 # Factorizations : 0
% 0.20/0.49 # NegExts : 0
% 0.20/0.49 # Equation resolutions : 0
% 0.20/0.49 # Total rewrite steps : 364
% 0.20/0.49 # Propositional unsat checks : 0
% 0.20/0.49 # Propositional check models : 0
% 0.20/0.49 # Propositional check unsatisfiable : 0
% 0.20/0.49 # Propositional clauses : 0
% 0.20/0.49 # Propositional clauses after purity: 0
% 0.20/0.49 # Propositional unsat core size : 0
% 0.20/0.49 # Propositional preprocessing time : 0.000
% 0.20/0.49 # Propositional encoding time : 0.000
% 0.20/0.49 # Propositional solver time : 0.000
% 0.20/0.49 # Success case prop preproc time : 0.000
% 0.20/0.49 # Success case prop encoding time : 0.000
% 0.20/0.49 # Success case prop solver time : 0.000
% 0.20/0.49 # Current number of processed clauses : 37
% 0.20/0.49 # Positive orientable unit clauses : 32
% 0.20/0.49 # Positive unorientable unit clauses: 2
% 0.20/0.49 # Negative unit clauses : 1
% 0.20/0.49 # Non-unit-clauses : 2
% 0.20/0.49 # Current number of unprocessed clauses: 138
% 0.20/0.49 # ...number of literals in the above : 138
% 0.20/0.49 # Current number of archived formulas : 0
% 0.20/0.49 # Current number of archived clauses : 23
% 0.20/0.49 # Clause-clause subsumption calls (NU) : 0
% 0.20/0.49 # Rec. Clause-clause subsumption calls : 0
% 0.20/0.49 # Non-unit clause-clause subsumptions : 0
% 0.20/0.49 # Unit Clause-clause subsumption calls : 1
% 0.20/0.49 # Rewrite failures with RHS unbound : 0
% 0.20/0.49 # BW rewrite match attempts : 21
% 0.20/0.49 # BW rewrite match successes : 12
% 0.20/0.49 # Condensation attempts : 76
% 0.20/0.49 # Condensation successes : 0
% 0.20/0.49 # Termbank termtop insertions : 3558
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.009 s
% 0.20/0.49 # System time : 0.002 s
% 0.20/0.49 # Total time : 0.011 s
% 0.20/0.49 # Maximum resident set size: 1756 pages
% 0.20/0.49
% 0.20/0.49 # -------------------------------------------------
% 0.20/0.49 # User time : 0.032 s
% 0.20/0.49 # System time : 0.012 s
% 0.20/0.49 # Total time : 0.045 s
% 0.20/0.49 # Maximum resident set size: 1692 pages
% 0.20/0.49 % E---3.1 exiting
% 0.20/0.49 % E---3.1 exiting
%------------------------------------------------------------------------------