TSTP Solution File: SWW186+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWW186+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% 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 : 600s
% DateTime : Thu Jul 21 01:24:39 EDT 2022
% Result : Theorem 54.46s 54.65s
% Output : Refutation 54.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 13 unt; 0 nHn; 16 RR)
% Number of literals : 31 ( 19 equ; 12 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 16 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ class_Rings_Ocomm__semiring__0(X)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X),c_Polynomial_Osmult(X,Y,Z),c_Polynomial_OpCons(X,U,Z)) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X))
| Z = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_offset__poly__eq__0__lemma) ).
cnf(14,axiom,
( ~ class_Groups_Ozero(X)
| c_Polynomial_OpCons(X,Y,Z) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X))
| Y = c_Groups_Ozero__class_Ozero(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_pCons__eq__0__iff) ).
cnf(18,axiom,
( ~ class_Groups_Ocomm__monoid__add(X)
| c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X)),Y) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_add__poly__code_I1_J) ).
cnf(20,axiom,
( ~ class_Rings_Ocomm__semiring__0(X)
| c_Polynomial_Osmult(X,Y,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_smult__0__right) ).
cnf(984,axiom,
( ~ class_Rings_Ocomm__semiring__0(X)
| class_Groups_Ocomm__monoid__add(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clrel_Rings_Ocomm__semiring__0__Groups_Ocomm__monoid__add) ).
cnf(990,axiom,
( ~ class_Rings_Ocomm__semiring__0(X)
| class_Groups_Ozero(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clrel_Rings_Ocomm__semiring__0__Groups_Ozero) ).
cnf(1157,hypothesis,
( c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))
| v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
cnf(1158,hypothesis,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),c_Polynomial_Osmult(t_a,v_h,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h)),c_Polynomial_OpCons(t_a,v_a,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
cnf(1159,negated_conjecture,
( v_a != c_Groups_Ozero__class_Ozero(t_a)
| v_p != c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
cnf(1160,hypothesis,
class_Rings_Ocomm__semiring__0(t_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_0) ).
cnf(1176,plain,
class_Groups_Ocomm__monoid__add(t_a),
inference('HYPERRESOLVE',[status(thm)],[984,1160]) ).
cnf(1182,plain,
class_Groups_Ozero(t_a),
inference('HYPERRESOLVE',[status(thm)],[990,1160]) ).
cnf(1684,plain,
c_Polynomial_Osmult(t_a,X,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a))) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference('HYPERRESOLVE',[status(thm)],[20,1160]) ).
cnf(5935,plain,
c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a,v_p,v_h) = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference('HYPERRESOLVE',[status(thm)],[5,1160,1158]) ).
cnf(5936,plain,
v_p = c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(t_a)),
inference('REWRITE',[status(thm)],[1157,5935,theory(equality)]) ).
cnf(5937,plain,
v_a != c_Groups_Ozero__class_Ozero(t_a),
inference('REWRITE',[status(thm)],[1159,5936,theory(equality)]) ).
cnf(5940,plain,
c_Polynomial_Osmult(t_a,X,v_p) = v_p,
inference('REWRITE',[status(thm)],[1684,5936,theory(equality)]) ).
cnf(5948,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,c_Polynomial_OpCons(t_a,v_a,v_p)) = v_p,
inference('REWRITE',[status(thm)],[1158,5940,5936,5935,theory(equality)]) ).
cnf(11343,plain,
c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(t_a),v_p,X) = X,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[18,1176]),5936,theory(equality)]) ).
cnf(11352,plain,
c_Polynomial_OpCons(t_a,v_a,v_p) = v_p,
inference('REWRITE',[status(thm)],[5948,11343,theory(equality)]) ).
cnf(11431,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,11352,theory(equality)]),5937,5936,1182,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW186+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 : Sun Jun 5 16:13:02 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 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 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 2022-06-05T16:13:02
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-05T16:13:02
% 0.52/0.71
% 0.52/0.71 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Nat_Onat| ?X ?X).
% 0.52/0.72 ; Recognized possible left identity assertion (|c_Rings_Odvd__class_Odvd| |tc_Nat_Onat| ?X ?X).
% 0.52/0.73 WARNING:
% 0.52/0.73 |class_Fields_Ofield__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.73 WARNING:
% 0.52/0.73 |class_Fields_Olinordered__field__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.73 WARNING:
% 0.52/0.73 |class_Fields_Olinordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.73 WARNING:
% 0.52/0.73 |class_Rings_Odivision__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.73 WARNING:
% 0.52/0.73 |class_Rings_Odivision__ring__inverse__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.73 WARNING:
% 0.52/0.73 |class_Lattices_Oab__semigroup__idem__mult| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.73 WARNING:
% 0.52/0.73 |class_Fields_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.73 WARNING:
% 0.52/0.73 |class_RealVector_Oreal__normed__algebra| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.52/0.73 WARNING:
% 0.52/0.73 |class_Groups_Oone| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.52/0.73 WARNING:
% 0.52/0.73 |class_Groups_Oplus| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 54.46/54.65 ; Recognized possible left identity assertion (|c_Orderings_Oord__class_Oless__eq| |tc_Int_Oint| ?X ?X).
% 54.46/54.65
% 54.46/54.65 #||
% 54.46/54.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 54.46/54.65 % SZS output start Refutation
% See solution above
% 54.46/54.65 ||#
% 54.46/54.65
% 54.46/54.65 ; Summary of computation:
% 54.46/54.65 ; 257062 formulas have been input or derived (from 1144 formulas).
% 54.46/54.65 ; 11431 ( 4%) were retained. Of these,
% 54.46/54.65 ; 655 ( 6%) were simplified or subsumed later,
% 54.46/54.65 ; 10776 (94%) are still being kept.
% 54.46/54.65 ;
% 54.46/54.65 ; Run time in seconds excluding printing time:
% 54.46/54.65 ; 0.218 0% Read assertion file (1 call)
% 54.46/54.65 ; 0.028 0% Assert (1,182 calls)
% 54.46/54.65 ; 2.028 4% Process new row (233,704 calls)
% 54.46/54.65 ; 21.704 40% Resolution (2,286 calls)
% 54.46/54.65 ; 0.155 0% Paramodulation (1,143 calls)
% 54.46/54.65 ; 0.000 0% Factoring (12 calls)
% 54.46/54.65 ; 0.555 1% Condensing (41,804 calls)
% 54.46/54.65 ; 8.753 16% Forward subsumption (41,804 calls)
% 54.46/54.65 ; 0.573 1% Backward subsumption (6,802 calls)
% 54.46/54.65 ; 1.058 2% Clause clause subsumption (172,689 calls)
% 54.46/54.65 ; 12.976 24% Forward simplification (227,048 calls)
% 54.46/54.65 ; 0.237 0% Backward simplification (11,420 calls)
% 54.46/54.65 ; 5.135 9% Ordering (1,090,812 calls)
% 54.46/54.65 ; 0.000 0% Sortal reasoning (32 calls)
% 54.46/54.65 ; 0.004 0% Purity testing (1 call)
% 54.46/54.65 ; 0.753 1% Other
% 54.46/54.65 ; 54.177 Total
% 54.46/54.65 ; 54.186 Real time
% 54.46/54.65 ;
% 54.46/54.66 ; Term-hash-array has 23,582 terms in all.
% 54.46/54.66 ; Feature-vector-row-index has 6,385 entries (6,385 at peak, 6,802 added, 417 deleted).
% 54.46/54.66 ; Feature-vector-row-index has 46,657 nodes (46,882 at peak, 50,305 added, 3,648 deleted).
% 54.46/54.66 ; Retrieved 563,263 possibly forward subsuming rows in 41,804 calls.
% 54.46/54.66 ; Retrieved 8,606 possibly backward subsumed rows in 6,802 calls.
% 54.46/54.66 ; Path-index has 22,519 entries (22,519 at peak, 23,813 added, 1,294 deleted).
% 54.46/54.66 ; Path-index has 41,097 nodes (41,097 at peak, 42,981 added, 1,884 deleted).
% 54.46/54.66 ; Trie-index has 22,519 entries (22,519 at peak, 23,813 added, 1,294 deleted).
% 54.46/54.66 ; Trie-index has 146,157 nodes (146,157 at peak, 160,179 added, 14,022 deleted).
% 54.46/54.66 ; Retrieved 2,340,113 generalization terms in 2,771,413 calls.
% 54.46/54.66 ; Retrieved 13,290 instance terms in 6,885 calls.
% 54.46/54.66 ; Retrieved 32,076,155 unifiable terms in 137,602 calls.
% 54.46/54.66 ;
% 54.46/54.66 ; The agenda of rows to process has 2384 entries:
% 54.46/54.66 ; 97 with value 19 41 with value 30 288 with value 40
% 54.46/54.66 ; 108 with value 20 27 with value 31 16 with value 41
% 54.46/54.66 ; 164 with value 21 49 with value 32 14 with value 42
% 54.46/54.66 ; 228 with value 22 106 with value 33 32 with value 43
% 54.46/54.66 ; 85 with value 23 72 with value 34 8 with value 44
% 54.46/54.66 ; 130 with value 24 32 with value 35 64 with value 45
% 54.46/54.66 ; 206 with value 25 1 with value 36 32 with value 47
% 54.46/54.66 ; 36 with value 26 32 with value 37 12 with value 50
% 54.46/54.66 ; 34 with value 27 96 with value 38 8 with value 51
% 54.46/54.66 ; 67 with value 28 1 with value 39 3 with value 59
% 54.46/54.66 ; 295 with value 29
% 54.46/54.66 ; The agenda of rows to give has 9655 entries:
% 54.46/54.66 ; 9 with value (4 4) 188 with value (4 44) 7 with value (4 82)
% 54.46/54.66 ; 85 with value (4 6) 151 with value (4 45) 16 with value (4 83)
% 54.46/54.66 ; 19 with value (4 7) 151 with value (4 46) 8 with value (4 84)
% 54.46/54.66 ; 6 with value (4 8) 178 with value (4 47) 16 with value (4 85)
% 54.46/54.66 ; 22 with value (4 9) 163 with value (4 48) 2 with value (4 86)
% 54.46/54.66 ; 18 with value (4 10) 211 with value (4 49) 9 with value (4 87)
% 54.46/54.66 ; 26 with value (4 11) 133 with value (4 50) 7 with value (4 88)
% 54.46/54.66 ; 39 with value (4 12) 113 with value (4 51) 10 with value (4 89)
% 54.46/54.66 ; 76 with value (4 13) 123 with value (4 52) 4 with value (4 90)
% 54.46/54.66 ; 80 with value (4 14) 82 with value (4 53) 2 with value (4 91)
% 54.46/54.66 ; 121 with value (4 15) 117 with value (4 54) 4 with value (4 92)
% 54.46/54.66 ; 99 with value (4 16) 123 with value (4 55) 11 with value (4 93)
% 54.46/54.66 ; 139 with value (4 17) 151 with value (4 56) 4 with value (4 94)
% 54.46/54.66 ; 140 with value (4 18) 107 with value (4 57) 6 with value (4 95)
% 54.46/54.66 ; 156 with value (4 19) 65 with value (4 58) 10 with value (4 96)
% 54.46/54.66 ; 228 with value (4 20) 87 with value (4 59) 4 with value (4 97)
% 54.46/54.66 ; 152 with value (4 21) 79 with value (4 60) 11 with value (4 98)
% 54.46/54.66 ; 228 with value (4 22) 76 with value (4 61) 1 with value (4 99)
% 54.46/54.66 ; 181 with value (4 23) 82 with value (4 62) 1 with value (4 100)
% 54.46/54.66 ; 298 with value (4 24) 40 with value (4 63) 7 with value (4 102)
% 54.46/54.66 ; 256 with value (4 25) 73 with value (4 64) 4 with value (4 106)
% 54.46/54.66 ; 320 with value (4 26) 25 with value (4 65) 3 with value (4 107)
% 54.46/54.66 ; 216 with value (4 27) 29 with value (4 66) 2 with value (4 109)
% 54.46/54.66 ; 282 with value (4 28) 36 with value (4 67) 4 with value (4 111)
% 54.46/54.66 ; 263 with value (4 29) 58 with value (4 68) 2 with value (4 112)
% 54.46/54.66 ; 210 with value (4 30) 3 with value (4 69) 4 with value (4 114)
% 54.46/54.66 ; 246 with value (4 31) 32 with value (4 70) 1 with value (4 115)
% 54.46/54.66 ; 238 with value (4 32) 33 with value (4 71) 1 with value (4 117)
% 54.46/54.66 ; 182 with value (4 33) 43 with value (4 72) 2 with value (4 119)
% 54.46/54.66 ; 183 with value (4 34) 18 with value (4 73) 1 with value (4 120)
% 54.46/54.66 ; 236 with value (4 35) 13 with value (4 74) 2 with value (4 124)
% 54.46/54.66 ; 220 with value (4 36) 5 with value (4 75) 1 with value (4 131)
% 54.46/54.66 ; 276 with value (4 37) 20 with value (4 76) 1 with value (4 133)
% 54.46/54.66 ; 258 with value (4 38) 9 with value (4 77) 1 with value (4 142)
% 54.46/54.66 ; 253 with value (4 39) 18 with value (4 78) 4 with value (4 146)
% 54.46/54.66 ; 229 with value (4 40) 25 with value (4 79) 1 with value (4 147)
% 54.46/54.66 ; 192 with value (4 41) 12 with value (4 80) 1 with value (4 153)
% 54.46/54.66 ; 211 with value (4 42) 7 with value (4 81) 1 with value (4 174)
% 54.46/54.66 ; 207 with value (4 43)
% 54.46/54.66 Evaluation took:
% 54.46/54.66 54.191 seconds of real time
% 54.46/54.66 51.333157 seconds of user run time
% 54.46/54.66 2.851435 seconds of system run time
% 54.46/54.66 [Run times include 6.655 seconds GC run time.]
% 54.46/54.66 0 calls to %EVAL
% 54.46/54.66 0 page faults and
% 54.46/54.66 3,612,202,464 bytes consed.
% 54.46/54.66 :PROOF-FOUND
% 54.46/54.66 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-05T16:13:56
% 54.46/54.66 :PROOF-FOUND
% 54.46/54.66 *
%------------------------------------------------------------------------------