%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG347-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 : 600s
% DateTime : Thu Jul 14 18:00:36 EDT 2022
% Result : Unsatisfiable 51.75s 51.96s
% Output : Refutation 51.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 1 nHn; 9 RR)
% Number of literals : 16 ( 9 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 10 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_offset__poly__eq__0__iff_0,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
| c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(Y,Z,X) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X))
| Y = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_offset__poly__eq__0__iff_0) ).
cnf(cls_degree__pCons__eq_0,axiom,
( ~ class_HOL_Ozero(X)
| c_Polynomial_Odegree(c_Polynomial_OpCons(Y,Z,X),X) = c_Suc(c_Polynomial_Odegree(Z,X))
| Z = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_degree__pCons__eq_0) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(cls_conjecture_0,negated_conjecture,
c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a) = c_Polynomial_Odegree(v_pa,t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_1,negated_conjecture,
v_pa != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_conjecture_2,negated_conjecture,
c_Polynomial_Odegree(c_Polynomial_OpCons(v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,v_h,t_a),t_a),t_a) != c_Suc(c_Polynomial_Odegree(v_pa,t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(clsrel_Ring__and__Field_Ocomm__semiring__0_HOL_Ozero,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X)
| class_HOL_Ozero(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Ocomm__semiring__0_HOL_Ozero) ).
cnf(879,plain,
class_HOL_Ozero(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Ocomm__semiring__0_HOL_Ozero,tfree_tcs]) ).
cnf(1852,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,X,t_a) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_offset__poly__eq__0__iff_0,tfree_tcs,cls_conjecture_1]) ).
cnf(13188,plain,
c_Polynomial_Odegree(c_Polynomial_OpCons(X,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,Y,t_a),t_a),t_a) = c_Suc(c_Polynomial_Odegree(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v_pa,Y,t_a),t_a)),
inference('UR-RESOLVE',[status(thm)],[cls_degree__pCons__eq_0,1852,879]) ).
cnf(13189,plain,
$false,
inference('REWRITE',[status(thm)],[cls_conjecture_2,cls_conjecture_0,13188,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG347-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n029.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 : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 23:08:51 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T23:08:51
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-08T23:08:51
% 0.46/0.69
% 0.46/0.69 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 0.52/0.70 WARNING:
% 0.52/0.70 |class_RealVector_Oreal__normed__div__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.70 WARNING:
% 0.52/0.70 |class_RealVector_Oreal__normed__algebra__1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.70 WARNING:
% 0.52/0.70 |class_Lattices_Oboolean__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.70 WARNING:
% 0.52/0.70 |class_RealVector_Oreal__normed__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.70 WARNING:
% 0.52/0.70 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.70 WARNING:
% 0.52/0.70 |class_RealVector_Oreal__normed__vector| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.70 WARNING:
% 0.52/0.70 |class_OrderedGroup_Olordered__ab__group__add| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.70 WARNING:
% 0.52/0.70 |class_OrderedGroup_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.70 WARNING:
% 0.52/0.70 |class_Divides_Oring__div| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 51.75/51.96 ; Recognized possible right inverse assertion (|c_HOL_Oord__class_Oless| ?X (|c_Suc| ?X) |tc_nat|).
% 51.75/51.96
% 51.75/51.96 #||
% 51.75/51.96 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 51.75/51.96 % SZS output start Refutation
% See solution above
% 51.75/51.96 ||#
% 51.75/51.96
% 51.75/51.96 ; Summary of computation:
% 51.75/51.96 ; 371019 formulas have been input or derived (from 1063 formulas).
% 51.75/51.96 ; 13189 ( 4%) were retained. Of these,
% 51.75/51.96 ; 2059 (16%) were simplified or subsumed later,
% 51.75/51.96 ; 11130 (84%) are still being kept.
% 51.75/51.96 ;
% 51.75/51.96 ; Run time in seconds excluding printing time:
% 51.75/51.96 ; 0.194 0% Read assertion file (1 call)
% 51.75/51.96 ; 0.019 0% Assert (1,130 calls)
% 51.75/51.96 ; 2.500 5% Process new row (357,399 calls)
% 51.75/51.96 ; 13.700 27% Resolution (2,124 calls)
% 51.75/51.96 ; 0.054 0% Paramodulation (1,062 calls)
% 51.75/51.96 ; 0.000 0% Factoring (13 calls)
% 51.75/51.96 ; 1.363 3% Condensing (121,235 calls)
% 51.75/51.96 ; 14.873 29% Forward subsumption (121,235 calls)
% 51.75/51.96 ; 0.548 1% Backward subsumption (5,828 calls)
% 51.75/51.96 ; 2.809 5% Clause clause subsumption (613,680 calls)
% 51.75/51.96 ; 13.341 26% Forward simplification (357,283 calls)
% 51.75/51.96 ; 0.307 1% Backward simplification (13,188 calls)
% 51.75/51.96 ; 0.663 1% Ordering (263,382 calls)
% 51.75/51.96 ; 0.001 0% Sortal reasoning (32 calls)
% 51.75/51.96 ; 0.004 0% Purity testing (1 call)
% 51.75/51.96 ; 1.118 2% Other
% 51.75/51.96 ; 51.494 Total
% 51.75/51.96 ; 51.494 Real time
% 51.75/51.96 ;
% 51.75/51.96 ; Term-hash-array has 19,320 terms in all.
% 51.75/51.96 ; Feature-vector-row-index has 4,960 entries (4,960 at peak, 5,828 added, 868 deleted).
% 51.75/51.96 ; Feature-vector-row-index has 12,867 nodes (12,907 at peak, 16,462 added, 3,595 deleted).
% 51.75/51.96 ; Retrieved 4,291,376 possibly forward subsuming rows in 121,235 calls.
% 51.75/51.96 ; Retrieved 17,753 possibly backward subsumed rows in 5,828 calls.
% 51.75/51.96 ; Path-index has 16,798 entries (16,971 at peak, 19,595 added, 2,797 deleted).
% 51.75/51.96 ; Path-index has 23,751 nodes (24,011 at peak, 25,106 added, 1,355 deleted).
% 51.75/51.96 ; Trie-index has 16,798 entries (16,971 at peak, 19,595 added, 2,797 deleted).
% 51.75/51.96 ; Trie-index has 74,830 nodes (76,262 at peak, 91,238 added, 16,408 deleted).
% 51.75/51.96 ; Retrieved 2,563,009 generalization terms in 2,921,240 calls.
% 51.75/51.96 ; Retrieved 15,563 instance terms in 7,548 calls.
% 51.75/51.96 ; Retrieved 22,908,181 unifiable terms in 87,826 calls.
% 51.75/51.96 ;
% 51.75/51.96 ; The agenda of backward simplifiable rows to process has 60 entries:
% 51.75/51.96 ; 60 with value 0
% 51.75/51.96 ; The agenda of rows to process has 54 entries:
% 51.75/51.96 ; 2 with value 23 6 with value 26 2 with value 30
% 51.75/51.96 ; 6 with value 24 3 with value 27 24 with value 31
% 51.75/51.96 ; 9 with value 25 2 with value 29
% 51.75/51.96 ; The agenda of rows to give has 10086 entries:
% 51.75/51.96 ; 54 with value (4 12) 303 with value (4 31) 20 with value (4 50)
% 51.75/51.96 ; 109 with value (4 13) 292 with value (4 32) 31 with value (4 51)
% 51.75/51.96 ; 171 with value (4 14) 148 with value (4 33) 16 with value (4 52)
% 51.75/51.96 ; 194 with value (4 15) 191 with value (4 34) 30 with value (4 53)
% 51.75/51.96 ; 354 with value (4 16) 281 with value (4 35) 10 with value (4 54)
% 51.75/51.96 ; 319 with value (4 17) 136 with value (4 36) 4 with value (4 55)
% 51.75/51.96 ; 434 with value (4 18) 144 with value (4 37) 4 with value (4 56)
% 51.75/51.96 ; 541 with value (4 19) 122 with value (4 38) 10 with value (4 57)
% 51.75/51.96 ; 427 with value (4 20) 234 with value (4 39) 5 with value (4 58)
% 51.75/51.96 ; 533 with value (4 21) 85 with value (4 40) 2 with value (4 61)
% 51.75/51.96 ; 538 with value (4 22) 61 with value (4 41) 2 with value (4 62)
% 51.75/51.96 ; 601 with value (4 23) 44 with value (4 42) 14 with value (4 63)
% 51.75/51.96 ; 623 with value (4 24) 82 with value (4 43) 14 with value (4 64)
% 51.75/51.96 ; 628 with value (4 25) 31 with value (4 44) 2 with value (4 68)
% 51.75/51.96 ; 483 with value (4 26) 28 with value (4 45) 4 with value (4 69)
% 51.75/51.96 ; 454 with value (4 27) 23 with value (4 46) 1 with value (4 70)
% 51.75/51.96 ; 433 with value (4 28) 42 with value (4 47) 12 with value (4 74)
% 51.75/51.96 ; 390 with value (4 29) 13 with value (4 48) 12 with value (4 75)
% 51.75/51.96 ; 338 with value (4 30) 9 with value (4 49)
% 51.75/51.96 Evaluation took:
% 51.75/51.96 51.497 seconds of real time
% 51.75/51.96 48.402393 seconds of user run time
% 51.75/51.96 3.095495 seconds of system run time
% 51.75/51.96 [Run times include 7.163 seconds GC run time.]
% 51.75/51.96 0 calls to %EVAL
% 51.75/51.96 0 page faults and
% 51.75/51.96 4,308,815,432 bytes consed.
% 51.75/51.96 :PROOF-FOUND
% 51.75/51.96 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-08T23:09:43
% 51.75/51.96 :PROOF-FOUND
% 51.75/51.96 *
%------------------------------------------------------------------------------