%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% 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 0.36s 0.53s
% Output : Refutation 0.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 2 RR)
% Number of literals : 9 ( 8 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-3 aty)
% Number of variables : 19 ( 1 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/Axioms/BOO001-0.ax',associativity) ).
cnf(ternary_multiply_1,axiom,
multiply(X,Y,Y) = Y,
file('/export/starexec/sandbox/benchmark/Axioms/BOO001-0.ax',ternary_multiply_1) ).
cnf(right_inverse,axiom,
multiply(X,Y,inverse(Y)) = X,
file('/export/starexec/sandbox/benchmark/Axioms/BOO001-0.ax',right_inverse) ).
cnf(prove_inverse_is_self_cancelling,negated_conjecture,
inverse(inverse(a)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_self_cancelling) ).
cnf(8,plain,
multiply(X,Y,multiply(Z,X,U)) = multiply(Z,X,multiply(X,Y,U)),
inference('PARAMODULATE',[status(thm)],[associativity,ternary_multiply_1,theory(equality)]) ).
cnf(25,plain,
multiply(X,Y,multiply(Z,X,Y)) = multiply(Z,X,Y),
inference('PARAMODULATE',[status(thm)],[8,ternary_multiply_1,theory(equality)]) ).
cnf(50,plain,
multiply(X,inverse(X),Y) = Y,
inference('PARAMODULATE',[status(thm)],[25,right_inverse,theory(equality)]) ).
cnf(60,plain,
inverse(inverse(X)) = X,
inference('PARAMODULATE',[status(thm)],[right_inverse,50,theory(equality)]) ).
cnf(61,plain,
$false,
inference('REWRITE',[status(thm)],[prove_inverse_is_self_cancelling,60,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO001-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.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 : Wed Jun 1 20:02:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (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 2022-06-01T20:02:01
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-01T20:02:01
% 0.36/0.53
% 0.36/0.53
% 0.36/0.53 #||
% 0.36/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.36/0.53 % SZS output start Refutation
% See solution above
% 0.36/0.53 ||#
% 0.36/0.53
% 0.36/0.53 ; Summary of computation:
% 0.36/0.53 ; 156 formulas have been input or derived (from 12 formulas).
% 0.36/0.53 ; 61 (39%) were retained. Of these,
% 0.36/0.53 ; 5 ( 8%) were simplified or subsumed later,
% 0.36/0.53 ; 56 (92%) are still being kept.
% 0.36/0.53 ;
% 0.36/0.53 ; Run time in seconds:
% 0.36/0.53 ; 0.001 1% Read assertion file (1 call)
% 0.36/0.53 ; 0.000 0% Assert (6 calls)
% 0.36/0.53 ; 0.012 18% Process new row (140 calls)
% 0.36/0.53 ; 0.001 1% Resolution (22 calls)
% 0.36/0.53 ; 0.003 4% Paramodulation (11 calls)
% 0.36/0.53 ; 0.009 13% Forward simplification (140 calls)
% 0.36/0.53 ; 0.007 10% Backward simplification (61 calls)
% 0.36/0.53 ; 0.010 15% Ordering (815 calls)
% 0.36/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.36/0.53 ; 0.000 0% Purity testing (1 call)
% 0.36/0.53 ; 0.025 37% Other
% 0.36/0.53 ; 0.068 Total
% 0.36/0.53 ; 0.069 Real time
% 0.36/0.53 ;
% 0.36/0.53 ; Term-hash-array has 230 terms in all.
% 0.36/0.53 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.36/0.53 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.36/0.53 ; Path-index has 220 entries (223 at peak, 236 added, 16 deleted).
% 0.36/0.53 ; Path-index has 161 nodes (165 at peak, 166 added, 5 deleted).
% 0.36/0.53 ; Trie-index has 220 entries (223 at peak, 236 added, 16 deleted).
% 0.36/0.53 ; Trie-index has 543 nodes (547 at peak, 558 added, 15 deleted).
% 0.36/0.53 ; Retrieved 3,693 generalization terms in 612 calls.
% 0.36/0.53 ; Retrieved 1,070 instance terms in 113 calls.
% 0.36/0.53 ; Retrieved 684 unifiable terms in 58 calls.
% 0.36/0.53 ;
% 0.36/0.53 ; The agenda of rows to process has 12 entries:
% 0.36/0.53 ; 1 with value 14 1 with value 20 3 with value 23
% 0.36/0.53 ; 2 with value 18 1 with value 21 4 with value 25
% 0.36/0.53 ; The agenda of rows to give has 45 entries:
% 0.36/0.53 ; 1 with value (4 12) 1 with value (4 23) 1 with value (4 31)
% 0.36/0.53 ; 1 with value (4 18) 2 with value (4 24) 4 with value (4 32)
% 0.36/0.53 ; 4 with value (4 19) 4 with value (4 27) 2 with value (4 34)
% 0.36/0.53 ; 2 with value (4 20) 7 with value (4 28) 2 with value (4 35)
% 0.36/0.53 ; 4 with value (4 21) 9 with value (4 30) 1 with value (4 36)
% 0.36/0.53 Evaluation took:
% 0.36/0.53 0.069 seconds of real time
% 0.36/0.54 0.060248 seconds of user run time
% 0.36/0.54 0.009128 seconds of system run time
% 0.36/0.54 0 calls to %EVAL
% 0.36/0.54 0 page faults and
% 0.36/0.54 3,353,648 bytes consed.
% 0.36/0.54 :PROOF-FOUND
% 0.36/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T20:02:01
% 0.36/0.54 :PROOF-FOUND
% 0.36/0.54 *
%------------------------------------------------------------------------------