%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO002-2 : TPTP v8.1.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 0.55s 0.76s
% Output : Refutation 0.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% 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 ( 5 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/sandbox/benchmark/theBenchmark.p',associativity) ).
cnf(ternary_multiply_1,axiom,
multiply(X,Y,Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ternary_multiply_1) ).
cnf(ternary_multiply_2,axiom,
multiply(X,X,Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ternary_multiply_2) ).
cnf(left_inverse,axiom,
multiply(inverse(X),X,Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
cnf(extra_lemma,axiom,
multiply(X,Y,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',extra_lemma) ).
cnf(prove_equation,negated_conjecture,
multiply(a,inverse(a),b) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
cnf(9,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),U,X) = multiply(X,Y,multiply(Z,U,X)),
inference('PARAMODULATE',[status(thm)],[associativity,extra_lemma,theory(equality)]) ).
cnf(90,plain,
multiply(multiply(X,Y,Z),Z,Y) = multiply(X,Y,Z),
inference('PARAMODULATE',[status(thm)],[9,ternary_multiply_2,theory(equality)]) ).
cnf(91,plain,
multiply(multiply(X,Y,inverse(Z)),Z,Y) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9,left_inverse,theory(equality)]),ternary_multiply_1,theory(equality)]) ).
cnf(137,plain,
multiply(multiply(X,inverse(Y),Z),Y,Z) = Z,
inference('PARAMODULATE',[status(thm)],[91,90,theory(equality)]) ).
cnf(186,plain,
multiply(multiply(X,Y,Z),Z,X) = multiply(X,Y,Z),
inference('PARAMODULATE',[status(thm)],[10,ternary_multiply_2,theory(equality)]) ).
cnf(260,plain,
multiply(multiply(X,Y,Z),X,Z) = multiply(X,Y,Z),
inference('PARAMODULATE',[status(thm)],[90,186,theory(equality)]) ).
cnf(314,plain,
multiply(X,inverse(X),Y) = Y,
inference('PARAMODULATE',[status(thm)],[137,260,theory(equality)]) ).
cnf(315,plain,
$false,
inference('REWRITE',[status(thm)],[prove_equation,314,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : BOO002-2 : TPTP v8.1.0. Released v1.1.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 1 19:41:16 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T19:41:16
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-01T19:41:16
% 0.55/0.76
% 0.55/0.76
% 0.55/0.76 #||
% 0.55/0.76 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.55/0.76 % SZS output start Refutation
% See solution above
% 0.59/0.76 ||#
% 0.59/0.76
% 0.59/0.76 ; Summary of computation:
% 0.59/0.76 ; 919 formulas have been input or derived (from 25 formulas).
% 0.59/0.76 ; 315 (34%) were retained. Of these,
% 0.59/0.76 ; 16 ( 5%) were simplified or subsumed later,
% 0.59/0.76 ; 299 (95%) are still being kept.
% 0.59/0.76 ;
% 0.59/0.76 ; Run time in seconds excluding printing time:
% 0.59/0.76 ; 0.002 1% Read assertion file (1 call)
% 0.59/0.76 ; 0.000 0% Assert (6 calls)
% 0.59/0.76 ; 0.032 12% Process new row (835 calls)
% 0.59/0.76 ; 0.001 0% Resolution (48 calls)
% 0.59/0.76 ; 0.021 8% Paramodulation (24 calls)
% 0.59/0.76 ; 0.072 28% Forward simplification (835 calls)
% 0.59/0.76 ; 0.046 18% Backward simplification (315 calls)
% 0.59/0.76 ; 0.061 23% Ordering (4,825 calls)
% 0.59/0.76 ; 0.000 0% Sortal reasoning (32 calls)
% 0.59/0.76 ; 0.000 0% Purity testing (1 call)
% 0.59/0.76 ; 0.025 10% Other
% 0.59/0.76 ; 0.260 Total
% 0.59/0.76 ; 0.262 Real time
% 0.59/0.76 ;
% 0.59/0.76 ; Term-hash-array has 1,032 terms in all.
% 0.59/0.76 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.59/0.76 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.59/0.76 ; Path-index has 996 entries (1,000 at peak, 1,043 added, 47 deleted).
% 0.59/0.76 ; Path-index has 282 nodes (291 at peak, 294 added, 12 deleted).
% 0.59/0.76 ; Trie-index has 996 entries (1,000 at peak, 1,043 added, 47 deleted).
% 0.59/0.76 ; Trie-index has 1,806 nodes (1,817 at peak, 1,880 added, 74 deleted).
% 0.59/0.76 ; Retrieved 39,263 generalization terms in 4,220 calls.
% 0.59/0.76 ; Retrieved 13,329 instance terms in 540 calls.
% 0.59/0.76 ; Retrieved 7,772 unifiable terms in 134 calls.
% 0.59/0.76 ;
% 0.59/0.76 ; The agenda of rows to process has 59 entries:
% 0.59/0.76 ; 1 with value 14 12 with value 22 2 with value 30
% 0.59/0.76 ; 5 with value 15 3 with value 25 7 with value 32
% 0.59/0.76 ; 1 with value 16 4 with value 26 1 with value 35
% 0.59/0.76 ; 6 with value 18 9 with value 29 1 with value 39
% 0.59/0.76 ; 7 with value 19
% 0.59/0.76 ; The agenda of rows to give has 275 entries:
% 0.59/0.76 ; 1 with value (4 14) 25 with value (4 25) 16 with value (4 31)
% 0.59/0.76 ; 1 with value (4 18) 14 with value (4 26) 24 with value (4 32)
% 0.59/0.76 ; 6 with value (4 19) 36 with value (4 27) 26 with value (4 33)
% 0.59/0.76 ; 5 with value (4 21) 40 with value (4 28) 6 with value (4 34)
% 0.59/0.76 ; 6 with value (4 22) 10 with value (4 29) 4 with value (4 35)
% 0.59/0.76 ; 5 with value (4 23) 25 with value (4 30) 8 with value (4 36)
% 0.59/0.76 ; 17 with value (4 24)
% 0.59/0.76 Evaluation took:
% 0.59/0.76 0.262 seconds of real time
% 0.59/0.76 0.245267 seconds of user run time
% 0.59/0.76 0.016999 seconds of system run time
% 0.59/0.76 [Run times include 0.007 seconds GC run time.]
% 0.59/0.76 0 calls to %EVAL
% 0.59/0.76 0 page faults and
% 0.59/0.76 14,760,712 bytes consed.
% 0.59/0.76 :PROOF-FOUND
% 0.59/0.76 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T19:41:16
% 0.59/0.76 :PROOF-FOUND
% 0.59/0.76 *
%------------------------------------------------------------------------------