%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ANA039-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 19:26:57 EDT 2022
% Result : Unsatisfiable 6.45s 6.65s
% Output : Refutation 6.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 11 unt; 0 nHn; 12 RR)
% Number of literals : 29 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 20 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clsrel_Ring__and__Field_Oordered__idom_42,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Ring__and__Field_Opordered__semiring(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_42) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_Orderings_Oorder(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_44) ).
cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X)
| class_OrderedGroup_Olordered__ab__group__abs(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsrel_Ring__and__Field_Oordered__idom_50) ).
cnf(cls_OrderedGroup_Oabs__ge__self_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| c_lessequals(Y,c_HOL_Oabs(Y,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__self_0) ).
cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__abs(X)
| c_lessequals(c_0,c_HOL_Oabs(Y,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Oabs__ge__zero_0) ).
cnf(cls_Orderings_Oorder__class_Oorder__trans_0,axiom,
( ~ class_Orderings_Oorder(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(U,Y,X)
| c_lessequals(U,Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
cnf(cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X)
| ~ c_lessequals(Y,Z,X)
| ~ c_lessequals(c_0,U,X)
| c_lessequals(c_times(Y,U,X),c_times(Z,U,X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0) ).
cnf(cls_conjecture_0,negated_conjecture,
c_lessequals(c_HOL_Oabs(v_h(X),t_a),c_times(v_c,c_HOL_Oabs(v_f(X),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_lessequals(c_HOL_Oabs(v_h(v_x),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(tfree_tcs,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
cnf(1292,plain,
class_Ring__and__Field_Opordered__semiring(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_42,tfree_tcs]) ).
cnf(1294,plain,
class_Orderings_Oorder(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_44,tfree_tcs]) ).
cnf(1301,plain,
class_OrderedGroup_Olordered__ab__group__abs(t_a),
inference('HYPERRESOLVE',[status(thm)],[clsrel_Ring__and__Field_Oordered__idom_50,tfree_tcs]) ).
cnf(3613,plain,
~ c_lessequals(c_times(v_c,c_HOL_Oabs(v_f(v_x),t_a),t_a),c_times(c_HOL_Oabs(v_c,t_a),c_HOL_Oabs(v_f(v_x),t_a),t_a),t_a),
inference('UR-RESOLVE',[status(thm)],[cls_Orderings_Oorder__class_Oorder__trans_0,1294,cls_conjecture_0,cls_conjecture_2]) ).
cnf(3623,plain,
c_lessequals(c_0,c_HOL_Oabs(X,t_a),t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__zero_0,1301]) ).
cnf(3624,plain,
c_lessequals(X,c_HOL_Oabs(X,t_a),t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_OrderedGroup_Oabs__ge__self_0,1301]) ).
cnf(24861,plain,
c_lessequals(c_times(X,c_HOL_Oabs(Y,t_a),t_a),c_times(c_HOL_Oabs(X,t_a),c_HOL_Oabs(Y,t_a),t_a),t_a),
inference('HYPERRESOLVE',[status(thm)],[cls_Ring__and__Field_Opordered__semiring__class_Omult__right__mono_0,3624,1292,3623]) ).
cnf(24862,plain,
$false,
inference('REWRITE',[status(thm)],[3613,24861]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA039-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jul 8 04:05:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T04:05:13
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-08T04:05:13
% 0.46/0.65
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Opordered__comm__ring| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Oordered__field| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Odivision__by__zero| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |c_Infinite__Set_Oatmost__one| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |c_List_Odistinct| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Numeral_Onumber| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Divides_Odiv| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Nat_Opower| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Parity_Oeven__odd| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_HOL_Oinverse| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.67 WARNING:
% 0.46/0.67 |class_Ring__and__Field_Ofield| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 6.45/6.65 ; Recognized possible right inverse assertion (|c_less| ?X (|c_Suc| ?X) |tc_nat|).
% 6.45/6.65
% 6.45/6.65 #||
% 6.45/6.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.45/6.65 % SZS output start Refutation
% See solution above
% 6.45/6.65 ||#
% 6.45/6.65
% 6.45/6.65 ; Summary of computation:
% 6.45/6.65 ; 50078 formulas have been input or derived (from 1603 formulas).
% 6.45/6.65 ; 24862 (50%) were retained. Of these,
% 6.45/6.65 ; 138 ( 1%) were simplified or subsumed later,
% 6.45/6.65 ; 24724 (99%) are still being kept.
% 6.45/6.65 ;
% 6.45/6.65 ; Run time in seconds excluding printing time:
% 6.45/6.65 ; 0.155 3% Read assertion file (1 call)
% 6.45/6.65 ; 0.014 0% Assert (1,418 calls)
% 6.45/6.65 ; 2.092 34% Process new row (47,332 calls)
% 6.45/6.65 ; 1.817 29% Resolution (3,204 calls)
% 6.45/6.65 ; 0.017 0% Paramodulation (1,602 calls)
% 6.45/6.65 ; 0.000 0% Factoring (8 calls)
% 6.45/6.65 ; 0.047 1% Condensing (4,119 calls)
% 6.45/6.65 ; 0.397 6% Forward subsumption (4,119 calls)
% 6.45/6.65 ; 0.175 3% Backward subsumption (4,085 calls)
% 6.45/6.65 ; 0.013 0% Clause clause subsumption (4,435 calls)
% 6.45/6.65 ; 0.965 16% Forward simplification (47,194 calls)
% 6.45/6.65 ; 0.260 4% Backward simplification (24,861 calls)
% 6.45/6.65 ; 0.040 1% Ordering (6,909 calls)
% 6.45/6.65 ; 0.000 0% Sortal reasoning (32 calls)
% 6.45/6.65 ; 0.003 0% Purity testing (1 call)
% 6.45/6.65 ; 0.172 3% Other
% 6.45/6.65 ; 6.167 Total
% 6.45/6.65 ; 6.170 Real time
% 6.45/6.65 ;
% 6.45/6.65 ; Term-hash-array has 50,839 terms in all.
% 6.45/6.65 ; Feature-vector-row-index has 4,078 entries (4,078 at peak, 4,085 added, 7 deleted).
% 6.45/6.65 ; Feature-vector-row-index has 12,124 nodes (12,124 at peak, 12,170 added, 46 deleted).
% 6.45/6.65 ; Retrieved 9,606 possibly forward subsuming rows in 4,119 calls.
% 6.45/6.65 ; Retrieved 6,275 possibly backward subsumed rows in 4,085 calls.
% 6.45/6.65 ; Path-index has 50,612 entries (50,614 at peak, 50,904 added, 292 deleted).
% 6.45/6.65 ; Path-index has 48,401 nodes (48,403 at peak, 48,551 added, 150 deleted).
% 6.45/6.65 ; Trie-index has 50,612 entries (50,614 at peak, 50,904 added, 292 deleted).
% 6.45/6.65 ; Trie-index has 326,288 nodes (326,307 at peak, 327,473 added, 1,185 deleted).
% 6.45/6.65 ; Retrieved 28,826 generalization terms in 89,904 calls.
% 6.45/6.65 ; Retrieved 21,913 instance terms in 20,777 calls.
% 6.45/6.65 ; Retrieved 3,922,749 unifiable terms in 38,978 calls.
% 6.45/6.65 ;
% 6.45/6.65 ; The agenda of rows to process has 10 entries:
% 6.45/6.65 ; 7 with value 22 1 with value 24 1 with value 31
% 6.45/6.65 ; 1 with value 23
% 6.45/6.65 ; The agenda of rows to give has 23122 entries:
% 6.45/6.65 ; 144 with value (4 10) 361 with value (4 37) 24 with value (4 63)
% 6.45/6.65 ; 339 with value (4 11) 143 with value (4 38) 52 with value (4 64)
% 6.45/6.65 ; 516 with value (4 12) 190 with value (4 39) 7 with value (4 66)
% 6.45/6.65 ; 716 with value (4 13) 96 with value (4 40) 5 with value (4 67)
% 6.45/6.65 ; 806 with value (4 14) 102 with value (4 41) 4 with value (4 69)
% 6.45/6.65 ; 1372 with value (4 15) 178 with value (4 42) 4 with value (4 70)
% 6.45/6.65 ; 1490 with value (4 16) 198 with value (4 43) 8 with value (4 71)
% 6.45/6.65 ; 895 with value (4 17) 143 with value (4 44) 28 with value (4 72)
% 6.45/6.65 ; 2141 with value (4 18) 199 with value (4 45) 8 with value (4 73)
% 6.45/6.65 ; 1034 with value (4 19) 59 with value (4 46) 12 with value (4 74)
% 6.45/6.65 ; 731 with value (4 20) 59 with value (4 47) 2 with value (4 75)
% 6.45/6.65 ; 1091 with value (4 21) 27 with value (4 48) 5 with value (4 77)
% 6.45/6.65 ; 1141 with value (4 22) 34 with value (4 49) 4 with value (4 79)
% 6.45/6.65 ; 511 with value (4 23) 45 with value (4 50) 4 with value (4 80)
% 6.45/6.65 ; 661 with value (4 24) 91 with value (4 51) 4 with value (4 82)
% 6.45/6.65 ; 628 with value (4 25) 74 with value (4 52) 5 with value (4 83)
% 6.45/6.65 ; 729 with value (4 26) 62 with value (4 53) 15 with value (4 84)
% 6.45/6.65 ; 813 with value (4 27) 78 with value (4 54) 4 with value (4 90)
% 6.45/6.65 ; 806 with value (4 28) 27 with value (4 55) 12 with value (4 91)
% 6.45/6.65 ; 623 with value (4 29) 36 with value (4 56) 4 with value (4 92)
% 6.45/6.65 ; 445 with value (4 30) 9 with value (4 57) 2 with value (4 93)
% 6.45/6.65 ; 368 with value (4 31) 24 with value (4 58) 4 with value (4 99)
% 6.45/6.65 ; 472 with value (4 32) 10 with value (4 59) 2 with value (4 100)
% 6.45/6.65 ; 777 with value (4 33) 12 with value (4 60) 1 with value (4 102)
% 6.45/6.65 ; 497 with value (4 34) 13 with value (4 61) 2 with value (4 109)
% 6.45/6.65 ; 619 with value (4 35) 8 with value (4 62) 1 with value (4 116)
% 6.45/6.65 ; 256 with value (4 36)
% 6.45/6.65 Evaluation took:
% 6.45/6.65 6.173 seconds of real time
% 6.45/6.65 5.757956 seconds of user run time
% 6.45/6.65 0.413799 seconds of system run time
% 6.45/6.65 [Run times include 1.414 seconds GC run time.]
% 6.45/6.65 0 calls to %EVAL
% 6.45/6.65 0 page faults and
% 6.45/6.65 421,933,192 bytes consed.
% 6.45/6.65 :PROOF-FOUND
% 6.45/6.65 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-08T04:05:19
% 6.45/6.65 :PROOF-FOUND
% 6.45/6.65 *
%------------------------------------------------------------------------------