%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : HEN010-7 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 13:02:34 EDT 2022
% Result : Unsatisfiable 0.46s 0.65s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 15
% Syntax : Number of clauses : 24 ( 17 unt; 0 nHn; 18 RR)
% Number of literals : 42 ( 3 equ; 20 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 37 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(less_equal_quotient,axiom,
( ~ quotient(X,Y,zero)
| less_equal(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_quotient) ).
cnf(divisor_existence,axiom,
( ~ quotient(X,Y,Z)
| less_equal(Z,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',divisor_existence) ).
cnf(quotient_property,axiom,
( ~ quotient(X,Y,Z)
| ~ quotient(Y,U,V)
| ~ quotient(X,U,W)
| ~ quotient(W,V,X1)
| ~ quotient(Z,U,Y1)
| less_equal(X1,Y1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',quotient_property) ).
cnf(less_equal_and_equal,axiom,
( ~ less_equal(X,Y)
| ~ less_equal(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',less_equal_and_equal) ).
cnf(identity_is_largest,axiom,
less_equal(X,identity),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',identity_is_largest) ).
cnf(closure,axiom,
quotient(X,Y,divide(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/HEN001-0.ax',closure) ).
cnf(x_divide_x_is_zero,axiom,
quotient(X,X,zero),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).
cnf(x_divde_zero_is_x,axiom,
quotient(X,zero,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divde_zero_is_x) ).
cnf(xQyLEz_implies_xQzLEy,axiom,
( ~ quotient(X,Y,Z)
| ~ less_equal(Z,U)
| ~ quotient(X,U,V)
| less_equal(V,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).
cnf(xLEy_implies_zQyLEzQx,axiom,
( ~ less_equal(X,Y)
| ~ quotient(Z,Y,U)
| ~ quotient(Z,X,V)
| less_equal(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_zQyLEzQx) ).
cnf(xLEy_implies_xQzLEyQz,axiom,
( ~ less_equal(X,Y)
| ~ quotient(X,Z,U)
| ~ quotient(Y,Z,V)
| less_equal(U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_xQzLEyQz) ).
cnf(identity_divide_a,hypothesis,
quotient(identity,a,idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).
cnf(identity_divide_idQa,hypothesis,
quotient(identity,idQa,idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).
cnf(identity_divide_idQ_idQa,hypothesis,
quotient(idQa,idQ_idQa,idQa_Q__idQ_idQa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).
cnf(prove_idQa_equals_idQa_Q__idQ_idQa,negated_conjecture,
idQa != idQa_Q__idQ_idQa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idQa_equals_idQa_Q__idQ_idQa) ).
cnf(22,plain,
less_equal(X,X),
inference('HYPERRESOLVE',[status(thm)],[less_equal_quotient,x_divide_x_is_zero]) ).
cnf(23,plain,
less_equal(idQa_Q__idQ_idQa,idQa),
inference('HYPERRESOLVE',[status(thm)],[divisor_existence,identity_divide_idQ_idQa]) ).
cnf(37,plain,
less_equal(divide(X,a),idQa),
inference('HYPERRESOLVE',[status(thm)],[xLEy_implies_xQzLEyQz,identity_is_largest,closure,identity_divide_a]) ).
cnf(42,plain,
less_equal(idQa,divide(idQa,a)),
inference('HYPERRESOLVE',[status(thm)],[quotient_property,identity_divide_a,x_divide_x_is_zero,identity_divide_a,x_divde_zero_is_x,closure]) ).
cnf(62,plain,
less_equal(idQ_idQa,a),
inference('HYPERRESOLVE',[status(thm)],[xQyLEz_implies_xQzLEy,22,identity_divide_a,identity_divide_idQa]) ).
cnf(66,plain,
~ less_equal(idQa,idQa_Q__idQ_idQa),
inference('UR-RESOLVE',[status(thm)],[less_equal_and_equal,23,prove_idQa_equals_idQa_Q__idQ_idQa]) ).
cnf(75,plain,
less_equal(divide(idQa,a),idQa_Q__idQ_idQa),
inference('HYPERRESOLVE',[status(thm)],[xLEy_implies_zQyLEzQx,62,closure,identity_divide_idQ_idQa]) ).
cnf(216,plain,
idQa = divide(idQa,a),
inference('HYPERRESOLVE',[status(thm)],[less_equal_and_equal,42,37]) ).
cnf(217,plain,
$false,
inference('REWRITE',[status(thm)],[75,66,216,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : HEN010-7 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n018.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 13:22:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:22:32
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-01T13:22:32
% 0.18/0.47
% 0.18/0.47 ; Recognized relation function assertion (|quotient| ?X ?Y (|divide| ?X ?Y)).
% 0.18/0.47 ; Recognized relation functionality assertion (OR (NOT (|quotient| ?X ?Y ?Z)) (NOT (|quotient| ?X ?Y ?U)) (= ?Z ?U)).
% 0.46/0.65 ; Recognized possible right identity assertion (|quotient| ?X |zero| ?X).
% 0.46/0.65
% 0.46/0.65 #||
% 0.46/0.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.65 % SZS output start Refutation
% See solution above
% 0.46/0.66 ||#
% 0.46/0.66
% 0.46/0.66 ; Summary of computation:
% 0.46/0.66 ; 6160 formulas have been input or derived (from 48 formulas).
% 0.46/0.66 ; 217 ( 4%) were retained. Of these,
% 0.46/0.66 ; 19 ( 9%) were simplified or subsumed later,
% 0.46/0.66 ; 198 (91%) are still being kept.
% 0.46/0.66 ;
% 0.46/0.66 ; Run time in seconds excluding printing time:
% 0.46/0.66 ; 0.004 2% Read assertion file (1 call)
% 0.46/0.66 ; 0.001 1% Assert (21 calls)
% 0.46/0.66 ; 0.015 8% Process new row (3,449 calls)
% 0.46/0.66 ; 0.117 60% Resolution (94 calls)
% 0.46/0.66 ; 0.001 1% Paramodulation (47 calls)
% 0.46/0.66 ; 0.001 1% Condensing (10 calls)
% 0.46/0.66 ; 0.000 0% Forward subsumption (10 calls)
% 0.46/0.66 ; 0.001 1% Backward subsumption (10 calls)
% 0.46/0.66 ; 0.000 0% Clause clause subsumption (11 calls)
% 0.46/0.66 ; 0.020 10% Forward simplification (3,348 calls)
% 0.46/0.66 ; 0.001 1% Backward simplification (217 calls)
% 0.46/0.66 ; 0.000 0% Ordering (59 calls)
% 0.46/0.66 ; 0.001 1% Sortal reasoning (32 calls)
% 0.46/0.66 ; 0.000 0% Purity testing (1 call)
% 0.46/0.66 ; 0.033 17% Other
% 0.46/0.66 ; 0.195 Total
% 0.46/0.66 ; 0.201 Real time
% 0.46/0.66 ;
% 0.46/0.66 ; Term-hash-array has 311 terms in all.
% 0.46/0.66 ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.46/0.66 ; Feature-vector-row-index has 15 nodes (15 at peak, 15 added, 0 deleted).
% 0.46/0.66 ; Retrieved 7 possibly forward subsuming rows in 10 calls.
% 0.46/0.66 ; Retrieved 4 possibly backward subsumed rows in 10 calls.
% 0.46/0.66 ; Path-index has 296 entries (300 at peak, 317 added, 21 deleted).
% 0.46/0.66 ; Path-index has 247 nodes (247 at peak, 247 added, 0 deleted).
% 0.46/0.66 ; Trie-index has 296 entries (300 at peak, 317 added, 21 deleted).
% 0.46/0.66 ; Trie-index has 623 nodes (634 at peak, 667 added, 44 deleted).
% 0.46/0.66 ; Retrieved 7,399 generalization terms in 6,459 calls.
% 0.46/0.66 ; Retrieved 318 instance terms in 206 calls.
% 0.46/0.66 ; Retrieved 58,198 unifiable terms in 15,199 calls.
% 0.46/0.66 ;
% 0.46/0.66 ; The agenda of rows to process has 62 entries:
% 0.46/0.66 ; 13 with value 9 8 with value 11 1 with value 13
% 0.46/0.66 ; 3 with value 10 33 with value 12 4 with value 14
% 0.46/0.66 ; The agenda of rows to give has 155 entries:
% 0.46/0.66 ; 18 with value (4 8) 35 with value (4 12) 1 with value (4 17)
% 0.46/0.66 ; 40 with value (4 9) 7 with value (4 13) 1 with value (4 18)
% 0.46/0.66 ; 13 with value (4 10) 15 with value (4 14) 2 with value (4 19)
% 0.46/0.66 ; 14 with value (4 11) 9 with value (4 15)
% 0.46/0.66 Evaluation took:
% 0.46/0.66 0.201 seconds of real time
% 0.46/0.66 0.177382 seconds of user run time
% 0.46/0.66 0.024219 seconds of system run time
% 0.46/0.66 [Run times include 0.005 seconds GC run time.]
% 0.46/0.66 0 calls to %EVAL
% 0.46/0.66 0 page faults and
% 0.46/0.66 12,682,600 bytes consed.
% 0.46/0.66 :PROOF-FOUND
% 0.46/0.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T13:22:33
% 0.46/0.66 :PROOF-FOUND
% 0.46/0.66 *
%------------------------------------------------------------------------------