%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO002-1 : 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 : Thu Jul 14 23:48:51 EDT 2022
% Result : Unsatisfiable 0.51s 0.70s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 2 RR)
% Number of literals : 15 ( 14 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-3 aty)
% Number of variables : 38 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity,axiom,
multiply(multiply(X,Y,Z),U,multiply(X,Y,V)) = multiply(X,Y,multiply(Z,U,V)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
cnf(ternary_multiply_1,axiom,
multiply(X,Y,Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ternary_multiply_1) ).
cnf(ternary_multiply_2,axiom,
multiply(X,X,Y) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ternary_multiply_2) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X,Y) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
cnf(prove_equation,negated_conjecture,
multiply(a,inverse(a),b) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
cnf(6,plain,
multiply(X,Y,X) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[ternary_multiply_2,associativity,theory(equality)]),ternary_multiply_2,theory(equality)]) ).
cnf(8,plain,
multiply(multiply(X,Y,Z),U,Y) = multiply(X,Y,multiply(Z,U,Y)),
inference('PARAMODULATE',[status(thm)],[associativity,ternary_multiply_1,theory(equality)]) ).
cnf(10,plain,
multiply(multiply(X,Y,Z),Z,multiply(X,Y,U)) = multiply(X,Y,Z),
inference('PARAMODULATE',[status(thm)],[associativity,ternary_multiply_2,theory(equality)]) ).
cnf(66,plain,
multiply(multiply(X,Y,Z),Z,Y) = multiply(X,Y,Z),
inference('PARAMODULATE',[status(thm)],[8,ternary_multiply_2,theory(equality)]) ).
cnf(67,plain,
multiply(multiply(X,Y,inverse(Z)),Z,Y) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,left_inverse,theory(equality)]),ternary_multiply_1,theory(equality)]) ).
cnf(118,plain,
multiply(multiply(X,inverse(Y),Z),Y,Z) = Z,
inference('PARAMODULATE',[status(thm)],[67,66,theory(equality)]) ).
cnf(197,plain,
multiply(multiply(X,Y,Z),Z,X) = multiply(X,Y,Z),
inference('PARAMODULATE',[status(thm)],[10,6,theory(equality)]) ).
cnf(230,plain,
multiply(multiply(X,Y,Z),X,Z) = multiply(X,Y,Z),
inference('PARAMODULATE',[status(thm)],[66,197,theory(equality)]) ).
cnf(258,plain,
multiply(X,inverse(X),Y) = Y,
inference('PARAMODULATE',[status(thm)],[118,230,theory(equality)]) ).
cnf(259,plain,
$false,
inference('REWRITE',[status(thm)],[prove_equation,258,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : BOO002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 : Wed Jun 1 19:38:29 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-06-01T19:38:29
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-01T19:38:29
% 0.51/0.70
% 0.51/0.70
% 0.51/0.70 #||
% 0.51/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.70 % SZS output start Refutation
% See solution above
% 0.51/0.70 ||#
% 0.51/0.70
% 0.51/0.70 ; Summary of computation:
% 0.51/0.70 ; 785 formulas have been input or derived (from 24 formulas).
% 0.51/0.70 ; 259 (33%) were retained. Of these,
% 0.51/0.70 ; 16 ( 6%) were simplified or subsumed later,
% 0.51/0.70 ; 243 (94%) are still being kept.
% 0.51/0.70 ;
% 0.51/0.70 ; Run time in seconds:
% 0.51/0.70 ; 0.001 0% Read assertion file (1 call)
% 0.51/0.70 ; 0.000 0% Assert (5 calls)
% 0.51/0.70 ; 0.041 18% Process new row (708 calls)
% 0.51/0.70 ; 0.001 0% Resolution (46 calls)
% 0.51/0.70 ; 0.021 9% Paramodulation (23 calls)
% 0.51/0.70 ; 0.056 25% Forward simplification (708 calls)
% 0.51/0.70 ; 0.025 11% Backward simplification (259 calls)
% 0.51/0.70 ; 0.051 23% Ordering (3,444 calls)
% 0.51/0.70 ; 0.000 0% Sortal reasoning (32 calls)
% 0.51/0.70 ; 0.000 0% Purity testing (1 call)
% 0.51/0.70 ; 0.027 12% Other
% 0.51/0.70 ; 0.223 Total
% 0.51/0.70 ; 0.225 Real time
% 0.51/0.70 ;
% 0.51/0.70 ; Term-hash-array has 799 terms in all.
% 0.51/0.70 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.51/0.70 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.51/0.70 ; Path-index has 766 entries (770 at peak, 810 added, 44 deleted).
% 0.51/0.70 ; Path-index has 238 nodes (247 at peak, 248 added, 10 deleted).
% 0.51/0.70 ; Trie-index has 766 entries (770 at peak, 810 added, 44 deleted).
% 0.51/0.70 ; Trie-index has 1,568 nodes (1,579 at peak, 1,623 added, 55 deleted).
% 0.51/0.70 ; Retrieved 29,601 generalization terms in 3,506 calls.
% 0.51/0.70 ; Retrieved 8,641 instance terms in 385 calls.
% 0.51/0.70 ; Retrieved 5,836 unifiable terms in 126 calls.
% 0.51/0.70 ;
% 0.51/0.70 ; The agenda of rows to process has 56 entries:
% 0.51/0.70 ; 1 with value 14 14 with value 22 2 with value 30
% 0.51/0.70 ; 5 with value 15 5 with value 25 4 with value 32
% 0.51/0.70 ; 1 with value 16 4 with value 26 1 with value 35
% 0.51/0.70 ; 5 with value 18 7 with value 29 1 with value 39
% 0.51/0.70 ; 6 with value 19
% 0.51/0.70 ; The agenda of rows to give has 220 entries:
% 0.51/0.70 ; 1 with value (4 14) 18 with value (4 24) 10 with value (4 31)
% 0.51/0.70 ; 2 with value (4 18) 13 with value (4 25) 17 with value (4 32)
% 0.51/0.70 ; 4 with value (4 19) 7 with value (4 26) 16 with value (4 33)
% 0.51/0.70 ; 2 with value (4 20) 25 with value (4 27) 5 with value (4 34)
% 0.51/0.70 ; 11 with value (4 21) 31 with value (4 28) 4 with value (4 35)
% 0.51/0.70 ; 6 with value (4 22) 14 with value (4 29) 6 with value (4 36)
% 0.51/0.70 ; 3 with value (4 23) 25 with value (4 30)
% 0.51/0.70 Evaluation took:
% 0.51/0.70 0.225 seconds of real time
% 0.51/0.70 0.204104 seconds of user run time
% 0.51/0.70 0.020162 seconds of system run time
% 0.51/0.70 0 calls to %EVAL
% 0.51/0.70 0 page faults and
% 0.51/0.70 11,614,128 bytes consed.
% 0.51/0.70 :PROOF-FOUND
% 0.51/0.70 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T19:38:30
% 0.51/0.70 :PROOF-FOUND
% 0.51/0.70 *
%------------------------------------------------------------------------------