%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : ALG440-1 : TPTP v8.1.0. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 18:00:49 EDT 2022
% Result : Unsatisfiable 10.03s 10.27s
% Output : Refutation 10.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 13
% Syntax : Number of clauses : 23 ( 20 unt; 0 nHn; 15 RR)
% Number of literals : 31 ( 8 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 39 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos,axiom,
m(X,X,Y) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
cnf(sos_001,axiom,
m(X,Y,Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_001) ).
cnf(sos_003,axiom,
v(X,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_003) ).
cnf(sos_004,axiom,
u(X,X,Y) = u(X,Y,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_004) ).
cnf(sos_005,axiom,
u(X,X,Y) = u(Y,X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_005) ).
cnf(sos_007,axiom,
u(X,X,Y) = v(X,Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_007) ).
cnf(sos_008,axiom,
( ~ r(X,Y,Z)
| ~ r(U,V,W)
| ~ r(X1,Y1,Z1)
| r(m(X,U,X1),m(Y,V,Y1),m(Z,W,Z1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_008) ).
cnf(sos_009,axiom,
( ~ r(X,Y,Z)
| ~ r(U,V,W)
| ~ r(X1,Y1,Z1)
| r(u(X,U,X1),u(Y,V,Y1),u(Z,W,Z1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_009) ).
cnf(sos_010,axiom,
( ~ r(X,Y,Z)
| ~ r(U,V,W)
| r(v(X,U),v(Y,V),v(Z,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_010) ).
cnf(sos_011,axiom,
r(a,a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_011) ).
cnf(sos_012,axiom,
r(a,b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_012) ).
cnf(sos_013,axiom,
r(b,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_013) ).
cnf(goals,negated_conjecture,
~ r(a,a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(15,plain,
v(X,Y) = u(X,Y,X),
inference('REWRITE',[status(thm)],[sos_004,sos_007,theory(equality)]) ).
cnf(16,plain,
v(X,Y) = u(Y,X,X),
inference('REWRITE',[status(thm)],[sos_005,sos_007,theory(equality)]) ).
cnf(17,plain,
r(a,v(a,b),v(a,b)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[sos_010,sos_011,sos_012]),sos_003,theory(equality)]) ).
cnf(18,plain,
r(v(a,b),a,v(a,b)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[sos_010,sos_011,sos_013]),sos_003,theory(equality)]) ).
cnf(19,plain,
r(v(a,b),v(a,b),a),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[sos_010,sos_012,sos_013]),sos_003,theory(equality)]) ).
cnf(29,plain,
r(v(a,b),v(a,b),v(a,b)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[sos_009,sos_011,sos_012,sos_013]),16,15,sos_007,theory(equality)]) ).
cnf(5418,plain,
r(a,b,v(a,b)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[sos_008,29,19,sos_012]),sos_001,sos,theory(equality)]) ).
cnf(5420,plain,
r(v(a,b),a,b),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[sos_008,29,17,sos_011]),sos,sos_001,theory(equality)]) ).
cnf(8791,plain,
r(a,b,b),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[sos_008,5420,18,5418]),sos_001,sos,theory(equality)]) ).
cnf(9807,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[sos_008,8791,sos_011,sos_012]),goals,sos,sos_001,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : ALG440-1 : TPTP v8.1.0. Released v5.4.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n019.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Wed Jun 8 13:10:40 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 2022-06-08T13:10:40
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-08T13:10:40
% 0.21/0.52
% 0.21/0.52 ; Recognized commutativity assertion (= (|v| ?X ?Y) (|v| ?Y ?X)).
% 10.03/10.27 ; Declaring v to be commutative.
% 10.03/10.27
% 10.03/10.27 #||
% 10.03/10.27 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.03/10.27 % SZS output start Refutation
% See solution above
% 10.03/10.27 ||#
% 10.03/10.27
% 10.03/10.27 ; Summary of computation:
% 10.03/10.27 ; 42262 formulas have been input or derived (from 31 formulas).
% 10.03/10.27 ; 9807 (23%) were retained. Of these,
% 10.03/10.27 ; 3 ( 0%) were simplified or subsumed later,
% 10.03/10.27 ; 9804 (100%) are still being kept.
% 10.03/10.27 ;
% 10.03/10.27 ; Run time in seconds excluding printing time:
% 10.03/10.27 ; 0.003 0% Read assertion file (1 call)
% 10.03/10.27 ; 0.000 0% Assert (15 calls)
% 10.03/10.27 ; 0.814 8% Process new row (36,249 calls)
% 10.03/10.27 ; 7.268 74% Resolution (60 calls)
% 10.03/10.27 ; 0.002 0% Paramodulation (30 calls)
% 10.03/10.27 ; 0.000 0% Condensing (3 calls)
% 10.03/10.27 ; 0.000 0% Forward subsumption (3 calls)
% 10.03/10.27 ; 0.000 0% Backward subsumption (3 calls)
% 10.03/10.27 ; 1.077 11% Forward simplification (36,249 calls)
% 10.03/10.27 ; 0.466 5% Backward simplification (9,807 calls)
% 10.03/10.27 ; 0.000 0% Ordering (74 calls)
% 10.03/10.27 ; 0.000 0% Sortal reasoning (32 calls)
% 10.03/10.27 ; 0.000 0% Purity testing (1 call)
% 10.03/10.27 ; 0.138 1% Other
% 10.03/10.27 ; 9.768 Total
% 10.03/10.27 ; 9.770 Real time
% 10.03/10.27 ;
% 10.03/10.27 ; Term-hash-array has 9,976 terms in all.
% 10.03/10.27 ; Feature-vector-row-index has 3 entries (3 at peak, 3 added, 0 deleted).
% 10.03/10.27 ; Feature-vector-row-index has 10 nodes (10 at peak, 10 added, 0 deleted).
% 10.03/10.27 ; Retrieved 0 possibly forward subsuming rows in 3 calls.
% 10.03/10.27 ; Retrieved 0 possibly backward subsumed rows in 3 calls.
% 10.03/10.27 ; Path-index has 9,974 entries (9,974 at peak, 9,980 added, 6 deleted).
% 10.03/10.27 ; Path-index has 518 nodes (518 at peak, 518 added, 0 deleted).
% 10.03/10.27 ; Trie-index has 9,974 entries (9,974 at peak, 9,980 added, 6 deleted).
% 10.03/10.27 ; Trie-index has 66,582 nodes (66,582 at peak, 66,587 added, 5 deleted).
% 10.03/10.27 ; Retrieved 373,002 generalization terms in 268,324 calls.
% 10.03/10.27 ; Retrieved 9,819 instance terms in 9,803 calls.
% 10.03/10.27 ; Retrieved 14,365,485 unifiable terms in 27,515 calls.
% 10.03/10.27 ;
% 10.03/10.27 ; The agenda of rows to process has 6007 entries:
% 10.03/10.27 ; 147 with value 19 564 with value 24 888 with value 28
% 10.03/10.27 ; 12 with value 20 288 with value 25 540 with value 29
% 10.03/10.27 ; 12 with value 21 1188 with value 26 708 with value 30
% 10.03/10.27 ; 384 with value 22 288 with value 27 672 with value 32
% 10.03/10.27 ; 316 with value 23
% 10.03/10.27 ; The agenda of rows to give has 9773 entries:
% 10.03/10.27 ; 1 with value (4 8) 208 with value (4 19) 639 with value (4 28)
% 10.03/10.27 ; 1 with value (4 9) 173 with value (4 20) 782 with value (4 29)
% 10.03/10.27 ; 6 with value (4 10) 510 with value (4 21) 678 with value (4 30)
% 10.03/10.27 ; 8 with value (4 13) 564 with value (4 22) 702 with value (4 31)
% 10.03/10.27 ; 27 with value (4 14) 247 with value (4 23) 186 with value (4 32)
% 10.03/10.27 ; 67 with value (4 15) 933 with value (4 24) 597 with value (4 33)
% 10.03/10.27 ; 51 with value (4 16) 1127 with value (4 25) 156 with value (4 34)
% 10.03/10.27 ; 86 with value (4 17) 500 with value (4 26) 18 with value (4 35)
% 10.03/10.27 ; 176 with value (4 18) 1192 with value (4 27) 138 with value (4 36)
% 10.03/10.27 Evaluation took:
% 10.03/10.27 9.771 seconds of real time
% 10.03/10.27 9.52993 seconds of user run time
% 10.03/10.27 0.240933 seconds of system run time
% 10.03/10.27 [Run times include 0.506 seconds GC run time.]
% 10.03/10.27 0 calls to %EVAL
% 10.03/10.27 0 page faults and
% 10.03/10.27 346,224,096 bytes consed.
% 10.03/10.27 :PROOF-FOUND
% 10.03/10.27 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-08T13:10:50
% 10.03/10.27 :PROOF-FOUND
% 10.03/10.27 *
%------------------------------------------------------------------------------