%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP175-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 11:37:18 EDT 2022
% Result : Unsatisfiable 62.29s 62.48s
% Output : Refutation 62.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of clauses : 14 ( 14 unt; 0 nHn; 4 RR)
% Number of literals : 14 ( 13 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(left_identity,axiom,
multiply(identity,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(lub_absorbtion,axiom,
least_upper_bound(X,greatest_lower_bound(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',lub_absorbtion) ).
cnf(glb_absorbtion,axiom,
greatest_lower_bound(X,least_upper_bound(X,Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',glb_absorbtion) ).
cnf(monotony_glb1,axiom,
multiply(X,greatest_lower_bound(Y,Z)) = greatest_lower_bound(multiply(X,Y),multiply(X,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb1) ).
cnf(monotony_glb2,axiom,
multiply(greatest_lower_bound(X,Y),Z) = greatest_lower_bound(multiply(X,Z),multiply(Y,Z)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-2.ax',monotony_glb2) ).
cnf(p06a_1,hypothesis,
least_upper_bound(identity,b) = b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p06a_1) ).
cnf(prove_p06a,negated_conjecture,
least_upper_bound(identity,multiply(inverse(a),multiply(b,a))) != multiply(inverse(a),multiply(b,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_p06a) ).
cnf(29,plain,
greatest_lower_bound(identity,b) = identity,
inference('PARAMODULATE',[status(thm)],[glb_absorbtion,p06a_1,theory(equality)]) ).
cnf(99,plain,
X = greatest_lower_bound(X,multiply(b,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[monotony_glb2,29,theory(equality)]),left_identity,theory(equality)]) ).
cnf(151,plain,
multiply(X,Y) = greatest_lower_bound(multiply(X,Y),multiply(X,multiply(b,Y))),
inference('PARAMODULATE',[status(thm)],[monotony_glb1,99,theory(equality)]) ).
cnf(7282,plain,
identity = greatest_lower_bound(identity,multiply(inverse(X),multiply(b,X))),
inference('PARAMODULATE',[status(thm)],[151,left_inverse,theory(equality)]) ).
cnf(7376,plain,
least_upper_bound(multiply(inverse(X),multiply(b,X)),identity) = multiply(inverse(X),multiply(b,X)),
inference('PARAMODULATE',[status(thm)],[lub_absorbtion,7282,theory(equality)]) ).
cnf(7378,plain,
$false,
inference('REWRITE',[status(thm)],[prove_p06a,7376,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP175-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n027.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 : Mon Jun 13 11:53:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-13T11:53:17
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-06-13T11:53:17
% 0.19/0.48
% 0.19/0.48 ; Recognized left identity assertion (= (|multiply| |identity| ?X) ?X).
% 0.19/0.48 ; Recognized possible left inverse assertion (= (|multiply| (|inverse| ?X) ?X) |identity|).
% 0.19/0.48 ; Recognized associativity assertion (= (|multiply| (|multiply| ?X ?Y) ?Z) (|multiply| ?X (|multiply| ?Y ?Z))).
% 0.19/0.48 ; Recognized commutativity assertion (= (|greatest_lower_bound| ?X ?Y) (|greatest_lower_bound| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|least_upper_bound| ?X ?Y) (|least_upper_bound| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|greatest_lower_bound| ?X (|greatest_lower_bound| ?Y ?Z)) (|greatest_lower_bound| (|greatest_lower_bound| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized associativity assertion (= (|least_upper_bound| ?X (|least_upper_bound| ?Y ?Z)) (|least_upper_bound| (|least_upper_bound| ?X ?Y) ?Z)).
% 0.19/0.48 ; Declaring greatest_lower_bound to be commutative.
% 0.19/0.48 ; Declaring greatest_lower_bound to be associative-commutative.
% 0.19/0.48 ; Declaring least_upper_bound to be commutative.
% 62.29/62.48 ; Declaring least_upper_bound to be associative-commutative.
% 62.29/62.48
% 62.29/62.48 #||
% 62.29/62.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.29/62.48 % SZS output start Refutation
% See solution above
% 62.29/62.48 ||#
% 62.29/62.48
% 62.29/62.48 ; Summary of computation:
% 62.29/62.48 ; 37355 formulas have been input or derived (from 183 formulas).
% 62.29/62.48 ; 7378 (20%) were retained. Of these,
% 62.29/62.48 ; 389 ( 5%) were simplified or subsumed later,
% 62.29/62.48 ; 6989 (95%) are still being kept.
% 62.29/62.48 ;
% 62.29/62.48 ; Run time in seconds excluding printing time:
% 62.29/62.48 ; 0.003 0% Read assertion file (1 call)
% 62.29/62.48 ; 0.000 0% Assert (17 calls)
% 62.29/62.48 ; 1.636 3% Process new row (36,566 calls)
% 62.29/62.48 ; 0.031 0% Resolution (364 calls)
% 62.29/62.48 ; 0.721 1% Paramodulation (182 calls)
% 62.29/62.48 ; 0.069 0% Embedding (3,509 calls)
% 62.29/62.48 ; 56.022 90% Forward simplification (32,986 calls)
% 62.29/62.48 ; 2.404 4% Backward simplification (3,873 calls)
% 62.29/62.48 ; 0.645 1% Ordering (166,138 calls)
% 62.29/62.48 ; 0.319 1% Ordering ac (25,254 calls)
% 62.29/62.48 ; 0.000 0% Sortal reasoning (32 calls)
% 62.29/62.48 ; 0.000 0% Purity testing (1 call)
% 62.29/62.48 ; 0.161 0% Other
% 62.29/62.48 ; 62.011 Total
% 62.29/62.48 ; 62.017 Real time
% 62.29/62.49 ;
% 62.29/62.49 ; Term-hash-array has 20,198 terms in all.
% 62.29/62.49 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 62.29/62.49 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 62.29/62.49 ; Path-index has 19,303 entries (19,306 at peak, 20,283 added, 980 deleted).
% 62.29/62.49 ; Path-index has 2,814 nodes (2,824 at peak, 2,870 added, 56 deleted).
% 62.29/62.49 ; Trie-index has 19,303 entries (19,306 at peak, 20,283 added, 980 deleted).
% 62.29/62.49 ; Trie-index has 4,632 nodes (4,642 at peak, 4,847 added, 215 deleted).
% 62.29/62.49 ; Retrieved 149,070,083 generalization terms in 442,830 calls.
% 62.29/62.49 ; Retrieved 141,504 instance terms in 4,584 calls.
% 62.29/62.49 ; Retrieved 224,350 unifiable terms in 1,057 calls.
% 62.29/62.49 ;
% 62.29/62.49 ; The agenda of rows to process has 21 entries:
% 62.29/62.49 ; 1 with value 24 2 with value 27 1 with value 33
% 62.29/62.49 ; 2 with value 25 7 with value 29 1 with value 34
% 62.29/62.49 ; 7 with value 26
% 62.29/62.49 ; The agenda of rows to give has 6810 entries:
% 62.29/62.49 ; 3 with value (4 18) 188 with value (4 37) 56 with value (4 54)
% 62.29/62.49 ; 48 with value (4 20) 308 with value (4 38) 46 with value (4 55)
% 62.29/62.49 ; 80 with value (4 21) 208 with value (4 39) 32 with value (4 56)
% 62.29/62.49 ; 110 with value (4 22) 154 with value (4 40) 32 with value (4 57)
% 62.29/62.49 ; 178 with value (4 23) 174 with value (4 41) 24 with value (4 58)
% 62.29/62.49 ; 145 with value (4 24) 174 with value (4 42) 24 with value (4 59)
% 62.29/62.49 ; 261 with value (4 25) 164 with value (4 43) 4 with value (4 60)
% 62.29/62.49 ; 241 with value (4 26) 142 with value (4 44) 26 with value (4 61)
% 62.29/62.49 ; 306 with value (4 27) 130 with value (4 45) 2 with value (4 62)
% 62.29/62.49 ; 339 with value (4 28) 102 with value (4 46) 8 with value (4 63)
% 62.29/62.49 ; 311 with value (4 29) 112 with value (4 47) 12 with value (4 64)
% 62.29/62.49 ; 364 with value (4 30) 80 with value (4 48) 6 with value (4 65)
% 62.29/62.49 ; 394 with value (4 31) 84 with value (4 49) 8 with value (4 66)
% 62.29/62.49 ; 278 with value (4 32) 64 with value (4 50) 4 with value (4 67)
% 62.29/62.49 ; 310 with value (4 33) 44 with value (4 51) 4 with value (4 69)
% 62.29/62.49 ; 346 with value (4 34) 44 with value (4 52) 8 with value (4 70)
% 62.29/62.49 ; 280 with value (4 35) 56 with value (4 53) 4 with value (4 71)
% 62.29/62.49 ; 288 with value (4 36)
% 62.29/62.49 Evaluation took:
% 62.29/62.49 62.018 seconds of real time
% 62.29/62.49 61.453777 seconds of user run time
% 62.29/62.49 0.560079 seconds of system run time
% 62.29/62.49 [Run times include 1.567 seconds GC run time.]
% 62.29/62.49 0 calls to %EVAL
% 62.29/62.49 0 page faults and
% 62.29/62.49 2,875,019,552 bytes consed.
% 62.29/62.49 :PROOF-FOUND
% 62.29/62.49 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T11:54:19
% 62.29/62.49 :PROOF-FOUND
% 62.29/62.49 *
%------------------------------------------------------------------------------