%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP513-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 11:39:13 EDT 2022
% Result : Unsatisfiable 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of clauses : 17 ( 17 unt; 0 nHn; 4 RR)
% Number of literals : 17 ( 16 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 35 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
multiply(X,multiply(multiply(Y,Z),inverse(multiply(X,Z)))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(3,plain,
multiply(X,multiply(multiply(Y,multiply(multiply(Z,U),inverse(multiply(X,U)))),inverse(Z))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(5,plain,
multiply(X,multiply(Y,inverse(Y))) = X,
inference('PARAMODULATE',[status(thm)],[3,single_axiom,theory(equality)]) ).
cnf(11,plain,
multiply(X,multiply(Y,inverse(X))) = Y,
inference('PARAMODULATE',[status(thm)],[3,5,theory(equality)]) ).
cnf(12,plain,
multiply(X,multiply(multiply(Y,multiply(Z,inverse(X))),inverse(Z))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,5,theory(equality)]),5,theory(equality)]) ).
cnf(13,plain,
multiply(X,multiply(multiply(Y,Z),inverse(Y))) = multiply(X,Z),
inference('PARAMODULATE',[status(thm)],[3,11,theory(equality)]) ).
cnf(21,plain,
multiply(X,multiply(Y,inverse(multiply(Y,multiply(X,inverse(Z)))))) = Z,
inference('PARAMODULATE',[status(thm)],[12,12,theory(equality)]) ).
cnf(24,plain,
multiply(multiply(X,Y),multiply(Z,inverse(multiply(Z,Y)))) = X,
inference('PARAMODULATE',[status(thm)],[21,13,theory(equality)]) ).
cnf(28,plain,
multiply(multiply(X,multiply(Y,inverse(multiply(Y,Z)))),Z) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[24,24,theory(equality)]),13,theory(equality)]) ).
cnf(29,plain,
multiply(X,Y) = multiply(X,multiply(Z,inverse(multiply(Z,inverse(Y))))),
inference('PARAMODULATE',[status(thm)],[13,28,theory(equality)]) ).
cnf(30,plain,
multiply(X,Y) = multiply(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,28,theory(equality)]),29,theory(equality)]) ).
cnf(33,plain,
multiply(inverse(a1),a1) != multiply(b1,inverse(b1)),
inference('PARAMODULATE',[status(thm)],[prove_these_axioms_1,30,theory(equality)]) ).
cnf(36,plain,
multiply(X,multiply(inverse(X),Y)) = Y,
inference('PARAMODULATE',[status(thm)],[11,30,theory(equality)]) ).
cnf(52,plain,
multiply(a1,inverse(a1)) != multiply(b1,inverse(b1)),
inference('PARAMODULATE',[status(thm)],[33,30,theory(equality)]) ).
cnf(64,plain,
multiply(X,inverse(X)) = multiply(Y,inverse(Y)),
inference('PARAMODULATE',[status(thm)],[36,5,theory(equality)]) ).
cnf(65,plain,
$false,
inference('REWRITE',[status(thm)],[52,64,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP513-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n008.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 : Mon Jun 13 16:16:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-13T16:16:52
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-06-13T16:16:52
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 223 formulas have been input or derived (from 19 formulas).
% 0.19/0.52 ; 65 (29%) were retained. Of these,
% 0.19/0.52 ; 19 (29%) were simplified or subsumed later,
% 0.19/0.52 ; 46 (71%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.001 2% Read assertion file (1 call)
% 0.19/0.52 ; 0.000 0% Assert (2 calls)
% 0.19/0.52 ; 0.011 22% Process new row (200 calls)
% 0.19/0.52 ; 0.000 0% Resolution (36 calls)
% 0.19/0.52 ; 0.002 4% Paramodulation (18 calls)
% 0.19/0.52 ; 0.009 18% Forward simplification (195 calls)
% 0.19/0.52 ; 0.001 2% Backward simplification (65 calls)
% 0.19/0.52 ; 0.001 2% Ordering (365 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.024 49% Other
% 0.19/0.52 ; 0.049 Total
% 0.19/0.52 ; 0.052 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 295 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.19/0.52 ; Path-index has 164 entries (168 at peak, 300 added, 136 deleted).
% 0.19/0.52 ; Path-index has 507 nodes (510 at peak, 645 added, 138 deleted).
% 0.19/0.52 ; Trie-index has 164 entries (168 at peak, 300 added, 136 deleted).
% 0.19/0.52 ; Trie-index has 447 nodes (465 at peak, 879 added, 432 deleted).
% 0.19/0.52 ; Retrieved 520 generalization terms in 906 calls.
% 0.19/0.52 ; Retrieved 194 instance terms in 64 calls.
% 0.19/0.52 ; Retrieved 727 unifiable terms in 139 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 12 entries:
% 0.19/0.52 ; 2 with value 21 1 with value 24 2 with value 27
% 0.19/0.52 ; 2 with value 22 2 with value 26 1 with value 29
% 0.19/0.52 ; 2 with value 23
% 0.19/0.52 ; The agenda of rows to give has 32 entries:
% 0.19/0.52 ; 2 with value (4 20) 4 with value (4 25) 3 with value (4 28)
% 0.19/0.52 ; 5 with value (4 21) 8 with value (4 26) 1 with value (4 29)
% 0.19/0.52 ; 2 with value (4 23) 2 with value (4 27) 2 with value (4 30)
% 0.19/0.52 ; 3 with value (4 24)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.052 seconds of real time
% 0.19/0.52 0.036386 seconds of user run time
% 0.19/0.52 0.016026 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,799,432 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T16:16:52
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------