%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : FLD006-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 : Sat Jul 16 02:26:55 EDT 2022
% Result : Unsatisfiable 3.97s 4.18s
% Output : Refutation 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 6 unt; 0 nHn; 10 RR)
% Number of literals : 15 ( 0 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(existence_of_identity_addition,axiom,
( equalish(add(additive_identity,X),X)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_identity_addition) ).
cnf(existence_of_inverse_addition,axiom,
( equalish(add(X,additive_inverse(X)),additive_identity)
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',existence_of_inverse_addition) ).
cnf(well_definedness_of_additive_identity,axiom,
defined(additive_identity),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_identity) ).
cnf(well_definedness_of_additive_inverse,axiom,
( defined(additive_inverse(X))
| ~ defined(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',well_definedness_of_additive_inverse) ).
cnf(transitivity_of_equality,axiom,
( equalish(X,Y)
| ~ equalish(X,Z)
| ~ equalish(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/FLD001-0.ax',transitivity_of_equality) ).
cnf(additive_inverse_not_equal_to_additive_identity_1,negated_conjecture,
~ equalish(additive_inverse(additive_identity),additive_identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse_not_equal_to_additive_identity_1) ).
cnf(31,plain,
defined(additive_inverse(additive_identity)),
inference('HYPERRESOLVE',[status(thm)],[well_definedness_of_additive_inverse,well_definedness_of_additive_identity]) ).
cnf(37,plain,
equalish(add(additive_identity,additive_inverse(additive_identity)),additive_identity),
inference('HYPERRESOLVE',[status(thm)],[existence_of_inverse_addition,well_definedness_of_additive_identity]) ).
cnf(198,plain,
equalish(add(additive_identity,additive_inverse(additive_identity)),additive_inverse(additive_identity)),
inference('HYPERRESOLVE',[status(thm)],[existence_of_identity_addition,31]) ).
cnf(16481,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[transitivity_of_equality,37,additive_inverse_not_equal_to_additive_identity_1]),198]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : FLD006-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.15/0.36 % Computer : n017.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 : 600
% 0.15/0.36 % DateTime : Mon Jun 6 18:09:01 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 *
% 0.22/0.50 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51 *
% 0.22/0.51 "."
% 0.22/0.51 *
% 0.22/0.51 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T18:09:02
% 0.22/0.51 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-06T18:09:02
% 0.22/0.52
% 0.22/0.52 ; Recognized commutativity assertion (OR (|equalish| ?X ?Y) (NOT (|equalish| ?Y ?X))).
% 3.97/4.18 ; Declaring equalish to be commutative.
% 3.97/4.18
% 3.97/4.18 #||
% 3.97/4.18 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.97/4.18 % SZS output start Refutation
% See solution above
% 3.97/4.18 ||#
% 3.97/4.18
% 3.97/4.18 ; Summary of computation:
% 3.97/4.18 ; 36955 formulas have been input or derived (from 69 formulas).
% 3.97/4.18 ; 16481 (45%) were retained. Of these,
% 3.97/4.18 ; 10 ( 0%) were simplified or subsumed later,
% 3.97/4.18 ; 16471 (100%) are still being kept.
% 3.97/4.18 ;
% 3.97/4.18 ; Run time in seconds excluding printing time:
% 3.97/4.18 ; 0.006 0% Read assertion file (1 call)
% 3.97/4.18 ; 0.001 0% Assert (28 calls)
% 3.97/4.18 ; 2.061 56% Process new row (36,585 calls)
% 3.97/4.18 ; 0.540 15% Resolution (136 calls)
% 3.97/4.18 ; 0.002 0% Paramodulation (68 calls)
% 3.97/4.18 ; 0.000 0% Factoring (1 call)
% 3.97/4.18 ; 0.000 0% Condensing (369 calls)
% 3.97/4.18 ; 0.014 0% Forward subsumption (369 calls)
% 3.97/4.18 ; 0.007 0% Backward subsumption (227 calls)
% 3.97/4.18 ; 0.001 0% Clause clause subsumption (732 calls)
% 3.97/4.18 ; 0.381 10% Forward simplification (36,585 calls)
% 3.97/4.18 ; 0.514 14% Backward simplification (16,481 calls)
% 3.97/4.18 ; 0.001 0% Ordering (451 calls)
% 3.97/4.18 ; 0.000 0% Sortal reasoning (32 calls)
% 3.97/4.18 ; 0.001 0% Purity testing (1 call)
% 3.97/4.18 ; 0.125 3% Other
% 3.97/4.18 ; 3.654 Total
% 3.97/4.18 ; 3.677 Real time
% 3.97/4.19 ;
% 3.97/4.19 ; Term-hash-array has 46,395 terms in all.
% 3.97/4.19 ; Feature-vector-row-index has 217 entries (217 at peak, 227 added, 10 deleted).
% 3.97/4.19 ; Feature-vector-row-index has 736 nodes (736 at peak, 754 added, 18 deleted).
% 3.97/4.19 ; Retrieved 749 possibly forward subsuming rows in 369 calls.
% 3.97/4.19 ; Retrieved 111 possibly backward subsumed rows in 227 calls.
% 3.97/4.19 ; Path-index has 46,392 entries (46,392 at peak, 46,406 added, 14 deleted).
% 3.97/4.19 ; Path-index has 1,513 nodes (1,513 at peak, 1,521 added, 8 deleted).
% 3.97/4.19 ; Trie-index has 46,392 entries (46,392 at peak, 46,406 added, 14 deleted).
% 3.97/4.19 ; Trie-index has 254,814 nodes (254,814 at peak, 254,842 added, 28 deleted).
% 3.97/4.19 ; Retrieved 19,968 generalization terms in 37,525 calls.
% 3.97/4.19 ; Retrieved 17,975 instance terms in 16,253 calls.
% 3.97/4.19 ; Retrieved 1,193,503 unifiable terms in 4,806 calls.
% 3.97/4.19 ;
% 3.97/4.19 ; The agenda of rows to process has 159 entries:
% 3.97/4.19 ; 8 with value 13 16 with value 16 64 with value 20
% 3.97/4.19 ; 14 with value 14 24 with value 18 32 with value 21
% 3.97/4.19 ; 1 with value 15
% 3.97/4.19 ; The agenda of rows to give has 16402 entries:
% 3.97/4.19 ; 43 with value (4 10) 192 with value (4 19) 2616 with value (4 27)
% 3.97/4.19 ; 100 with value (4 11) 248 with value (4 20) 192 with value (4 28)
% 3.97/4.19 ; 113 with value (4 12) 344 with value (4 21) 3000 with value (4 29)
% 3.97/4.19 ; 179 with value (4 13) 104 with value (4 22) 264 with value (4 30)
% 3.97/4.19 ; 124 with value (4 14) 850 with value (4 23) 3172 with value (4 31)
% 3.97/4.19 ; 212 with value (4 15) 36 with value (4 24) 240 with value (4 32)
% 3.97/4.19 ; 148 with value (4 16) 1648 with value (4 25) 992 with value (4 33)
% 3.97/4.19 ; 50 with value (4 17) 127 with value (4 26) 1216 with value (4 35)
% 3.97/4.19 ; 192 with value (4 18)
% 3.97/4.19 Evaluation took:
% 3.97/4.19 3.679 seconds of real time
% 3.97/4.19 3.383377 seconds of user run time
% 3.97/4.19 0.274201 seconds of system run time
% 3.97/4.19 [Run times include 0.817 seconds GC run time.]
% 3.97/4.19 0 calls to %EVAL
% 3.97/4.19 0 page faults and
% 3.97/4.19 244,274,984 bytes consed.
% 3.97/4.19 :PROOF-FOUND
% 3.97/4.19 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-06T18:09:05
% 3.97/4.19 :PROOF-FOUND
% 3.97/4.19 *
%------------------------------------------------------------------------------