%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU220+2 : TPTP v8.1.0. Released v3.3.0.
% 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 : Tue Jul 19 14:20:17 EDT 2022
% Result : Theorem 205.22s 205.40s
% Output : Refutation 205.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 21 ( 14 unt; 0 nHn; 21 RR)
% Number of literals : 43 ( 13 equ; 24 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(143,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| function_inverse(X) = relation_inverse(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_funct_1) ).
cnf(144,axiom,
( ~ relation(X)
| ~ function(X)
| relation(function_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(145,axiom,
( ~ relation(X)
| ~ function(X)
| function(function_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(275,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| ~ in(Z,relation_dom(X))
| apply(relation_composition(X,Y),Z) = apply(Y,apply(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_1) ).
cnf(295,axiom,
( ~ relation(X)
| relation_rng(X) = relation_dom(relation_inverse(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
cnf(330,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| ~ relation(Y)
| ~ function(Y)
| Y != function_inverse(X)
| ~ in(Z,relation_rng(X))
| U != apply(Y,Z)
| Z = apply(X,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_funct_1) ).
cnf(342,negated_conjecture,
relation('SKOLEMAAAV76'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(343,negated_conjecture,
function('SKOLEMAAAV76'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(344,negated_conjecture,
one_to_one('SKOLEMAAAV76'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(345,negated_conjecture,
in('SKOLEMAAAV75',relation_rng('SKOLEMAAAV76')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(346,negated_conjecture,
( 'SKOLEMAAAV75' != apply('SKOLEMAAAV76',apply(function_inverse('SKOLEMAAAV76'),'SKOLEMAAAV75'))
| 'SKOLEMAAAV75' != apply(relation_composition(function_inverse('SKOLEMAAAV76'),'SKOLEMAAAV76'),'SKOLEMAAAV75') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_funct_1) ).
cnf(541,plain,
relation(function_inverse('SKOLEMAAAV76')),
inference('HYPERRESOLVE',[status(thm)],[144,342,343]) ).
cnf(545,plain,
function(function_inverse('SKOLEMAAAV76')),
inference('HYPERRESOLVE',[status(thm)],[145,342,343]) ).
cnf(756,plain,
relation_rng('SKOLEMAAAV76') = relation_dom(relation_inverse('SKOLEMAAAV76')),
inference('HYPERRESOLVE',[status(thm)],[295,342]) ).
cnf(757,plain,
in('SKOLEMAAAV75',relation_dom(relation_inverse('SKOLEMAAAV76'))),
inference('REWRITE',[status(thm)],[345,756,theory(equality)]) ).
cnf(1164,plain,
function_inverse('SKOLEMAAAV76') = relation_inverse('SKOLEMAAAV76'),
inference('HYPERRESOLVE',[status(thm)],[143,342,343,344]) ).
cnf(1166,plain,
relation_rng('SKOLEMAAAV76') = relation_dom(function_inverse('SKOLEMAAAV76')),
inference('REWRITE',[status(thm)],[756,1164,theory(equality)]) ).
cnf(1167,plain,
in('SKOLEMAAAV75',relation_dom(function_inverse('SKOLEMAAAV76'))),
inference('REWRITE',[status(thm)],[757,1164,theory(equality)]) ).
cnf(49326,plain,
apply(relation_composition(function_inverse('SKOLEMAAAV76'),'SKOLEMAAAV76'),'SKOLEMAAAV75') = apply('SKOLEMAAAV76',apply(function_inverse('SKOLEMAAAV76'),'SKOLEMAAAV75')),
inference('HYPERRESOLVE',[status(thm)],[275,545,541,342,343,1167]) ).
cnf(49327,plain,
'SKOLEMAAAV75' != apply('SKOLEMAAAV76',apply(function_inverse('SKOLEMAAAV76'),'SKOLEMAAAV75')),
inference('REWRITE',[status(thm)],[346,49326,theory(equality)]) ).
cnf(50969,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[330,49327,342,343,344,541,545,theory(equality),theory(equality)]),1167,1166,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SEU220+2 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 00:08:33 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T00:08:33
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-19T00:08:33
% 0.18/0.52
% 0.18/0.52 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.52 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.18/0.53 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.18/0.53 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.18/0.53 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.18/0.53 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.18/0.53 ; Declaring unordered_pair to be commutative.
% 0.18/0.53 ; Declaring set_union2 to be commutative.
% 0.18/0.53 ; Declaring set_intersection2 to be commutative.
% 0.18/0.53 WARNING:
% 0.18/0.53 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.53 WARNING:
% 0.18/0.53 |are_equipotent| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 205.22/205.40 ; Declaring disjoint to be commutative.
% 205.22/205.40
% 205.22/205.40 #||
% 205.22/205.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 205.22/205.40 % SZS output start Refutation
% See solution above
% 205.22/205.40 ||#
% 205.22/205.40
% 205.22/205.40 ; Summary of computation:
% 205.22/205.40 ; 222852 formulas have been input or derived (from 415 formulas).
% 205.22/205.40 ; 50969 (23%) were retained. Of these,
% 205.22/205.40 ; 1875 ( 4%) were simplified or subsumed later,
% 205.22/205.40 ; 49094 (96%) are still being kept.
% 205.22/205.40 ;
% 205.22/205.40 ; Run time in seconds excluding printing time:
% 205.22/205.40 ; 0.050 0% Read assertion file (1 call)
% 205.22/205.40 ; 0.013 0% Assert (232 calls)
% 205.22/205.40 ; 10.277 5% Process new row (220,486 calls)
% 205.22/205.40 ; 75.612 37% Resolution (828 calls)
% 205.22/205.40 ; 0.027 0% Paramodulation (414 calls)
% 205.22/205.40 ; 0.001 0% Factoring (28 calls)
% 205.22/205.40 ; 3.173 2% Condensing (198,747 calls)
% 205.22/205.40 ; 90.255 44% Forward subsumption (198,747 calls)
% 205.22/205.40 ; 6.512 3% Backward subsumption (48,839 calls)
% 205.22/205.40 ; 5.253 3% Clause clause subsumption (686,577 calls)
% 205.22/205.40 ; 11.977 6% Forward simplification (220,223 calls)
% 205.22/205.40 ; 0.273 0% Backward simplification (50,962 calls)
% 205.22/205.40 ; 0.644 0% Ordering (286,858 calls)
% 205.22/205.40 ; 0.000 0% Sortal reasoning (32 calls)
% 205.22/205.40 ; 0.001 0% Purity testing (1 call)
% 205.22/205.40 ; 0.865 0% Other
% 205.22/205.40 ; 204.933 Total
% 205.22/205.40 ; 204.940 Real time
% 205.22/205.40 ;
% 205.22/205.43 ; Term-hash-array has 119,231 terms in all.
% 205.22/205.43 ; Feature-vector-row-index has 47,533 entries (47,533 at peak, 48,839 added, 1,306 deleted).
% 205.22/205.43 ; Feature-vector-row-index has 263,691 nodes (263,691 at peak, 276,124 added, 12,433 deleted).
% 205.22/205.43 ; Retrieved 3,238,121 possibly forward subsuming rows in 198,747 calls.
% 205.22/205.43 ; Retrieved 97,272 possibly backward subsumed rows in 48,839 calls.
% 205.22/205.43 ; Path-index has 115,934 entries (115,934 at peak, 121,706 added, 5,772 deleted).
% 205.22/205.43 ; Path-index has 68,087 nodes (68,087 at peak, 71,559 added, 3,472 deleted).
% 205.22/205.43 ; Trie-index has 115,934 entries (115,934 at peak, 121,706 added, 5,772 deleted).
% 205.22/205.43 ; Trie-index has 483,940 nodes (483,940 at peak, 503,884 added, 19,944 deleted).
% 205.22/205.43 ; Retrieved 877,434 generalization terms in 2,516,799 calls.
% 205.22/205.43 ; Retrieved 2,606 instance terms in 2,125 calls.
% 205.22/205.43 ; Retrieved 123,556,759 unifiable terms in 143,498 calls.
% 205.22/205.43 ;
% 205.22/205.43 ; The agenda of rows to process has 80 entries:
% 205.22/205.43 ; 1 with value 13 10 with value 18 5 with value 23
% 205.22/205.43 ; 1 with value 14 5 with value 19 5 with value 24
% 205.22/205.43 ; 6 with value 15 1 with value 21 6 with value 25
% 205.22/205.43 ; 13 with value 16 4 with value 22 1 with value 36
% 205.22/205.43 ; 22 with value 17
% 205.22/205.43 ; The agenda of rows to give has 48701 entries:
% 205.22/205.43 ; 3 with value (4 6) 542 with value (4 35) 1289 with value (4 64)
% 205.22/205.43 ; 77 with value (4 7) 757 with value (4 36) 714 with value (4 65)
% 205.22/205.43 ; 66 with value (4 8) 577 with value (4 37) 643 with value (4 66)
% 205.22/205.43 ; 101 with value (4 9) 631 with value (4 38) 1765 with value (4 67)
% 205.22/205.43 ; 192 with value (4 10) 707 with value (4 39) 967 with value (4 68)
% 205.22/205.43 ; 221 with value (4 11) 658 with value (4 40) 442 with value (4 69)
% 205.22/205.43 ; 153 with value (4 12) 626 with value (4 41) 1273 with value (4 70)
% 205.22/205.43 ; 99 with value (4 13) 576 with value (4 42) 1938 with value (4 71)
% 205.22/205.43 ; 159 with value (4 14) 872 with value (4 43) 228 with value (4 72)
% 205.22/205.43 ; 237 with value (4 15) 1020 with value (4 44) 630 with value (4 73)
% 205.22/205.43 ; 215 with value (4 16) 1455 with value (4 45) 1612 with value (4 74)
% 205.22/205.43 ; 179 with value (4 17) 1041 with value (4 46) 792 with value (4 75)
% 205.22/205.43 ; 150 with value (4 18) 847 with value (4 47) 120 with value (4 76)
% 205.22/205.43 ; 340 with value (4 19) 796 with value (4 48) 1181 with value (4 77)
% 205.22/205.43 ; 256 with value (4 20) 848 with value (4 49) 784 with value (4 78)
% 205.22/205.43 ; 313 with value (4 21) 863 with value (4 50) 36 with value (4 79)
% 205.22/205.43 ; 397 with value (4 22) 1665 with value (4 51) 73 with value (4 80)
% 205.22/205.43 ; 393 with value (4 23) 1246 with value (4 52) 1104 with value (4 81)
% 205.22/205.43 ; 286 with value (4 24) 1170 with value (4 53) 26 with value (4 82)
% 205.22/205.43 ; 392 with value (4 25) 542 with value (4 54) 6 with value (4 83)
% 205.22/205.43 ; 553 with value (4 26) 658 with value (4 55) 23 with value (4 84)
% 205.22/205.43 ; 358 with value (4 27) 922 with value (4 56) 350 with value (4 85)
% 205.22/205.43 ; 584 with value (4 28) 1234 with value (4 57) 10 with value (4 86)
% 205.22/205.43 ; 629 with value (4 29) 501 with value (4 58) 9 with value (4 87)
% 205.22/205.43 ; 549 with value (4 30) 568 with value (4 59) 1 with value (4 88)
% 205.22/205.43 ; 483 with value (4 31) 646 with value (4 60) 5 with value (4 89)
% 205.22/205.43 ; 510 with value (4 32) 746 with value (4 61) 2 with value (4 90)
% 205.22/205.43 ; 511 with value (4 33) 339 with value (4 62) 1 with value (4 92)
% 205.22/205.43 ; 451 with value (4 34) 767 with value (4 63)
% 205.22/205.43 Evaluation took:
% 205.22/205.43 204.97 seconds of real time
% 205.22/205.43 198.96428 seconds of user run time
% 205.22/205.43 5.999541 seconds of system run time
% 205.22/205.43 [Run times include 39.976 seconds GC run time.]
% 205.22/205.43 0 calls to %EVAL
% 205.22/205.43 0 page faults and
% 205.22/205.43 14,266,198,016 bytes consed.
% 205.22/205.43 :PROOF-FOUND
% 205.22/205.43 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T00:11:58
% 205.22/205.43 :PROOF-FOUND
% 205.22/205.43 *
%------------------------------------------------------------------------------