TSTP Solution File: SWV603-1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWV603-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 : Tue May 21 05:31:13 EDT 2024
% Result : Unsatisfiable 0.39s 0.59s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 24 unt; 0 nHn; 17 RR)
% Number of literals : 30 ( 24 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 5 con; 0-3 aty)
% Number of variables : 19 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_class__semiring_Osemiring__rules_I6_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I6_J_0) ).
cnf(cls_real__two__squares__add__zero__iff_2,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__two__squares__add__zero__iff_2) ).
cnf(cls_real__add__mult__distrib_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__add__mult__distrib_0) ).
cnf(cls_real__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__commute_0) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1) ).
cnf(cls_conjecture_1,negated_conjecture,
c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_real__zero__not__eq__one_0,axiom,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__zero__not__eq__one_0) ).
cnf(cls_real__sqrt__abs2_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__abs2_0) ).
cnf(cls_real__sqrt__zero_0,axiom,
c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__sqrt__zero_0) ).
cnf(c_0_10,plain,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(fof_simplification,[status(thm)],[cls_class__semiring_Osemiring__rules_I6_J_0]) ).
cnf(c_0_11,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_real__two__squares__add__zero__iff_2 ).
cnf(c_0_12,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_real__add__mult__distrib_0 ).
cnf(c_0_13,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
cls_real__mult__commute_0 ).
cnf(c_0_14,plain,
( c_HOL_Oplus__class_Oplus(X2,c_HOL_Ozero__class_Ozero(X1),X1) = X2
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_10 ).
cnf(c_0_15,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_16,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
cnf(c_0_17,plain,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,negated_conjecture,
c_HOL_Oabs__class_Oabs(c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
cls_conjecture_1 ).
cnf(c_0_19,negated_conjecture,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),c_RealDef_Oreal(v_n,tc_nat),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_conjecture_0 ).
cnf(c_0_20,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_real__zero__not__eq__one_0]) ).
cnf(c_0_21,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
cls_real__sqrt__abs2_0 ).
cnf(c_0_22,plain,
c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_23,axiom,
c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
cls_real__sqrt__zero_0 ).
cnf(c_0_24,negated_conjecture,
c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,plain,
c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) != c_HOL_Oone__class_Oone(tc_RealDef_Oreal),
c_0_20 ).
cnf(c_0_26,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]),c_0_24]),c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV603-1 : TPTP v8.2.0. Released v4.1.0.
% 0.03/0.15 % Command : run_E %s %d THM
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 06:31:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.51 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/benchmark/theBenchmark.p
% 0.39/0.59 # Version: 3.1.0
% 0.39/0.59 # Preprocessing class: FMLSSMSSSSSNFFN.
% 0.39/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.39/0.59 # Starting new_bool_3 with 600s (2) cores
% 0.39/0.59 # Starting new_bool_1 with 600s (2) cores
% 0.39/0.59 # Starting sh5l with 300s (1) cores
% 0.39/0.59 # new_bool_3 with pid 29981 completed with status 0
% 0.39/0.59 # Result found by new_bool_3
% 0.39/0.59 # Preprocessing class: FMLSSMSSSSSNFFN.
% 0.39/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.39/0.59 # Starting new_bool_3 with 600s (2) cores
% 0.39/0.59 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.59 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.39/0.59 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.39/0.59 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 272s (1) cores
% 0.39/0.59 # Starting new_bool_3 with 61s (1) cores
% 0.39/0.59 # G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 29984 completed with status 0
% 0.39/0.59 # Result found by G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.39/0.59 # Preprocessing class: FMLSSMSSSSSNFFN.
% 0.39/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.59 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 900s (3) cores
% 0.39/0.59 # Starting new_bool_3 with 600s (2) cores
% 0.39/0.59 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.39/0.59 # Search class: FGHSM-FSLM31-DFFFFFNN
% 0.39/0.59 # Scheduled 6 strats onto 2 cores with 600 seconds (600 total)
% 0.39/0.59 # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 272s (1) cores
% 0.39/0.59 # Preprocessing time : 0.005 s
% 0.39/0.59 # Presaturation interreduction done
% 0.39/0.59
% 0.39/0.59 # Proof found!
% 0.39/0.59 # SZS status Unsatisfiable
% 0.39/0.59 # SZS output start CNFRefutation
% See solution above
% 0.39/0.59 # Parsed axioms : 1111
% 0.39/0.59 # Removed by relevancy pruning/SinE : 588
% 0.39/0.59 # Initial clauses : 523
% 0.39/0.59 # Removed in clause preprocessing : 0
% 0.39/0.59 # Initial clauses in saturation : 523
% 0.39/0.59 # Processed clauses : 662
% 0.39/0.59 # ...of these trivial : 5
% 0.39/0.59 # ...subsumed : 144
% 0.39/0.59 # ...remaining for further processing : 513
% 0.39/0.59 # Other redundant clauses eliminated : 0
% 0.39/0.59 # Clauses deleted for lack of memory : 0
% 0.39/0.59 # Backward-subsumed : 0
% 0.39/0.59 # Backward-rewritten : 16
% 0.39/0.59 # Generated clauses : 123
% 0.39/0.59 # ...of the previous two non-redundant : 99
% 0.39/0.59 # ...aggressively subsumed : 0
% 0.39/0.59 # Contextual simplify-reflections : 1
% 0.39/0.59 # Paramodulations : 119
% 0.39/0.59 # Factorizations : 0
% 0.39/0.59 # NegExts : 0
% 0.39/0.59 # Equation resolutions : 4
% 0.39/0.59 # Disequality decompositions : 0
% 0.39/0.59 # Total rewrite steps : 92
% 0.39/0.59 # ...of those cached : 37
% 0.39/0.59 # Propositional unsat checks : 0
% 0.39/0.59 # Propositional check models : 0
% 0.39/0.59 # Propositional check unsatisfiable : 0
% 0.39/0.59 # Propositional clauses : 0
% 0.39/0.59 # Propositional clauses after purity: 0
% 0.39/0.59 # Propositional unsat core size : 0
% 0.39/0.59 # Propositional preprocessing time : 0.000
% 0.39/0.59 # Propositional encoding time : 0.000
% 0.39/0.59 # Propositional solver time : 0.000
% 0.39/0.59 # Success case prop preproc time : 0.000
% 0.39/0.59 # Success case prop encoding time : 0.000
% 0.39/0.59 # Success case prop solver time : 0.000
% 0.39/0.59 # Current number of processed clauses : 110
% 0.39/0.59 # Positive orientable unit clauses : 62
% 0.39/0.59 # Positive unorientable unit clauses: 0
% 0.39/0.59 # Negative unit clauses : 19
% 0.39/0.59 # Non-unit-clauses : 29
% 0.39/0.59 # Current number of unprocessed clauses: 346
% 0.39/0.59 # ...number of literals in the above : 1002
% 0.39/0.59 # Current number of archived formulas : 0
% 0.39/0.59 # Current number of archived clauses : 403
% 0.39/0.59 # Clause-clause subsumption calls (NU) : 11004
% 0.39/0.59 # Rec. Clause-clause subsumption calls : 4340
% 0.39/0.59 # Non-unit clause-clause subsumptions : 136
% 0.39/0.59 # Unit Clause-clause subsumption calls : 22
% 0.39/0.59 # Rewrite failures with RHS unbound : 0
% 0.39/0.59 # BW rewrite match attempts : 68
% 0.39/0.59 # BW rewrite match successes : 33
% 0.39/0.59 # Condensation attempts : 0
% 0.39/0.59 # Condensation successes : 0
% 0.39/0.59 # Termbank termtop insertions : 34642
% 0.39/0.59 # Search garbage collected termcells : 3043
% 0.39/0.59
% 0.39/0.59 # -------------------------------------------------
% 0.39/0.59 # User time : 0.038 s
% 0.39/0.59 # System time : 0.005 s
% 0.39/0.59 # Total time : 0.043 s
% 0.39/0.59 # Maximum resident set size: 3244 pages
% 0.39/0.59
% 0.39/0.59 # -------------------------------------------------
% 0.39/0.59 # User time : 0.101 s
% 0.39/0.59 # System time : 0.009 s
% 0.39/0.59 # Total time : 0.111 s
% 0.39/0.59 # Maximum resident set size: 2484 pages
% 0.39/0.59 % E---3.1 exiting
% 0.39/0.59 % E exiting
%------------------------------------------------------------------------------