TSTP Solution File: ALG363-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : ALG363-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n025.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 May 20 18:13:09 EDT 2024
% Result : Unsatisfiable 0.15s 0.50s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 34 ( 17 unt; 3 nHn; 24 RR)
% Number of literals : 54 ( 15 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 32 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_real__le__antisym_0,axiom,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__le__antisym_0) ).
cnf(cls_rp_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rp_0) ).
cnf(cls_real__less__def_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_0) ).
cnf(cls_real__less__def_1,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__less__def_1) ).
cnf(cls_real__abs__def_1,axiom,
( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__abs__def_1) ).
cnf(cls_class__semiring_Osemiring__rules_I24_J_0,axiom,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_class__semiring_Osemiring__rules_I24_J_0) ).
cnf(cls_conjecture_0,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_abs__add__one__gt__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_abs__add__one__gt__zero_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_th_0,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(X1)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_th_0) ).
cnf(c_0_10,plain,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__le__antisym_0]) ).
cnf(c_0_11,plain,
( X1 = X2
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_10 ).
cnf(c_0_12,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),
cls_rp_0 ).
cnf(c_0_13,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_real__less__def_0]) ).
cnf(c_0_14,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[cls_real__less__def_1]) ).
cnf(c_0_15,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r
| ~ c_lessequals(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_13 ).
cnf(c_0_17,plain,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
c_0_14 ).
cnf(c_0_18,axiom,
( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
cls_real__abs__def_1 ).
cnf(c_0_19,plain,
( c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r
| ~ c_HOL_Oord__class_Oless(v_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
( c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal) = v_r
| c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) = v_r ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_22,plain,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(fof_simplification,[status(thm)],[cls_class__semiring_Osemiring__rules_I24_J_0]) ).
cnf(c_0_23,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[cls_conjecture_0]) ).
cnf(c_0_24,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_abs__add__one__gt__zero_0 ).
cnf(c_0_25,plain,
c_HOL_Oabs__class_Oabs(v_r,tc_RealDef_Oreal) = v_r,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,plain,
( c_HOL_Oplus__class_Oplus(X2,X3,X1) = c_HOL_Oplus__class_Oplus(X3,X2,X1)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_22 ).
cnf(c_0_27,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1 ).
cnf(c_0_28,negated_conjecture,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(v_f____(v_x))),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_23 ).
cnf(c_0_29,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(v_s(X1)),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
cls_th_0 ).
cnf(c_0_30,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(tc_RealDef_Oreal),v_r,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_31,plain,
c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(v_r,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).
cnf(c_0_33,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : ALG363-1 : TPTP v8.2.0. Released v4.1.0.
% 0.02/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n025.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat May 18 23:02:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 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/benchmark/theBenchmark.p
% 0.15/0.50 # Version: 3.1.0
% 0.15/0.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.50 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.50 # Starting sh5l with 300s (1) cores
% 0.15/0.50 # new_bool_3 with pid 31222 completed with status 0
% 0.15/0.50 # Result found by new_bool_3
% 0.15/0.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.50 # Search class: FGHSM-FFLM31-MFFFFFNN
% 0.15/0.50 # Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.50 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 109s (1) cores
% 0.15/0.50 # 208_C09_12_F1_SE_CS_SP_PS_S070I with pid 31225 completed with status 0
% 0.15/0.50 # Result found by 208_C09_12_F1_SE_CS_SP_PS_S070I
% 0.15/0.50 # Preprocessing class: FSLSSMSSSSSNFFN.
% 0.15/0.50 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.50 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.15/0.50 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.50 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.50 # Search class: FGHSM-FFLM31-MFFFFFNN
% 0.15/0.50 # Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.50 # Starting 208_C09_12_F1_SE_CS_SP_PS_S070I with 109s (1) cores
% 0.15/0.50 # Preprocessing time : 0.003 s
% 0.15/0.50 # Presaturation interreduction done
% 0.15/0.50
% 0.15/0.50 # Proof found!
% 0.15/0.50 # SZS status Unsatisfiable
% 0.15/0.50 # SZS output start CNFRefutation
% See solution above
% 0.15/0.50 # Parsed axioms : 698
% 0.15/0.50 # Removed by relevancy pruning/SinE : 532
% 0.15/0.50 # Initial clauses : 166
% 0.15/0.50 # Removed in clause preprocessing : 0
% 0.15/0.50 # Initial clauses in saturation : 166
% 0.15/0.50 # Processed clauses : 865
% 0.15/0.50 # ...of these trivial : 25
% 0.15/0.50 # ...subsumed : 312
% 0.15/0.50 # ...remaining for further processing : 528
% 0.15/0.50 # Other redundant clauses eliminated : 3
% 0.15/0.50 # Clauses deleted for lack of memory : 0
% 0.15/0.50 # Backward-subsumed : 6
% 0.15/0.50 # Backward-rewritten : 49
% 0.15/0.50 # Generated clauses : 2238
% 0.15/0.50 # ...of the previous two non-redundant : 1680
% 0.15/0.50 # ...aggressively subsumed : 0
% 0.15/0.50 # Contextual simplify-reflections : 4
% 0.15/0.50 # Paramodulations : 2231
% 0.15/0.50 # Factorizations : 2
% 0.15/0.50 # NegExts : 0
% 0.15/0.50 # Equation resolutions : 5
% 0.15/0.50 # Disequality decompositions : 0
% 0.15/0.50 # Total rewrite steps : 1312
% 0.15/0.50 # ...of those cached : 1149
% 0.15/0.50 # Propositional unsat checks : 0
% 0.15/0.50 # Propositional check models : 0
% 0.15/0.50 # Propositional check unsatisfiable : 0
% 0.15/0.50 # Propositional clauses : 0
% 0.15/0.50 # Propositional clauses after purity: 0
% 0.15/0.50 # Propositional unsat core size : 0
% 0.15/0.50 # Propositional preprocessing time : 0.000
% 0.15/0.50 # Propositional encoding time : 0.000
% 0.15/0.50 # Propositional solver time : 0.000
% 0.15/0.50 # Success case prop preproc time : 0.000
% 0.15/0.50 # Success case prop encoding time : 0.000
% 0.15/0.50 # Success case prop solver time : 0.000
% 0.15/0.50 # Current number of processed clauses : 323
% 0.15/0.50 # Positive orientable unit clauses : 75
% 0.15/0.50 # Positive unorientable unit clauses: 3
% 0.15/0.50 # Negative unit clauses : 33
% 0.15/0.50 # Non-unit-clauses : 212
% 0.15/0.50 # Current number of unprocessed clauses: 1096
% 0.15/0.50 # ...number of literals in the above : 2718
% 0.15/0.50 # Current number of archived formulas : 0
% 0.15/0.50 # Current number of archived clauses : 205
% 0.15/0.50 # Clause-clause subsumption calls (NU) : 3791
% 0.15/0.50 # Rec. Clause-clause subsumption calls : 3369
% 0.15/0.50 # Non-unit clause-clause subsumptions : 114
% 0.15/0.50 # Unit Clause-clause subsumption calls : 480
% 0.15/0.50 # Rewrite failures with RHS unbound : 0
% 0.15/0.50 # BW rewrite match attempts : 211
% 0.15/0.50 # BW rewrite match successes : 122
% 0.15/0.50 # Condensation attempts : 0
% 0.15/0.50 # Condensation successes : 0
% 0.15/0.50 # Termbank termtop insertions : 47687
% 0.15/0.50 # Search garbage collected termcells : 1956
% 0.15/0.50
% 0.15/0.50 # -------------------------------------------------
% 0.15/0.50 # User time : 0.057 s
% 0.15/0.50 # System time : 0.006 s
% 0.15/0.50 # Total time : 0.064 s
% 0.15/0.50 # Maximum resident set size: 2424 pages
% 0.15/0.50
% 0.15/0.50 # -------------------------------------------------
% 0.15/0.50 # User time : 0.074 s
% 0.15/0.50 # System time : 0.009 s
% 0.15/0.50 # Total time : 0.082 s
% 0.15/0.50 # Maximum resident set size: 2160 pages
% 0.15/0.50 % E---3.1 exiting
%------------------------------------------------------------------------------