%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU211+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:20:10 EDT 2022
% Result : Theorem 8.27s 8.44s
% Output : Refutation 8.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 9 unt; 1 nHn; 14 RR)
% Number of literals : 29 ( 3 equ; 15 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ relation(X)
| Y != relation_inverse_image(X,Z)
| ~ in(U,Y)
| in(ordered_pair(U,'SKOLEMAAAV1'(U,X,Z)),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
cnf(4,axiom,
( ~ relation(X)
| Y != relation_inverse_image(X,Z)
| ~ in(U,Y)
| in('SKOLEMAAAV1'(U,X,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
cnf(5,axiom,
( ~ relation(X)
| Y != relation_inverse_image(X,Z)
| in(U,Y)
| ~ in(ordered_pair(U,V),X)
| ~ in(V,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
cnf(9,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(10,axiom,
( subset(X,Y)
| in('SKOLEMAAAV4'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(11,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAV4'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(31,negated_conjecture,
relation('SKOLEMAAAV14'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t178_relat_1) ).
cnf(32,negated_conjecture,
subset('SKOLEMAAAV12','SKOLEMAAAV13'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t178_relat_1) ).
cnf(33,negated_conjecture,
~ subset(relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV12'),relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV13')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t178_relat_1) ).
cnf(69,plain,
in('SKOLEMAAAV4'(relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV12'),relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV13')),relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV12')),
inference('HYPERRESOLVE',[status(thm)],[33,10]) ).
cnf(70,plain,
~ in('SKOLEMAAAV4'(relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV12'),relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV13')),relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV13')),
inference('UR-RESOLVE',[status(thm)],[11,33]) ).
cnf(1126,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV4'(relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV12'),relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV13')),'SKOLEMAAAV14','SKOLEMAAAV12'),'SKOLEMAAAV12'),
inference('HYPERRESOLVE',[status(thm)],[4,69,31,theory(equality)]) ).
cnf(1130,plain,
in(ordered_pair('SKOLEMAAAV4'(relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV12'),relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV13')),'SKOLEMAAAV1'('SKOLEMAAAV4'(relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV12'),relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV13')),'SKOLEMAAAV14','SKOLEMAAAV12')),'SKOLEMAAAV14'),
inference('HYPERRESOLVE',[status(thm)],[3,69,31,theory(equality)]) ).
cnf(6447,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV4'(relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV12'),relation_inverse_image('SKOLEMAAAV14','SKOLEMAAAV13')),'SKOLEMAAAV14','SKOLEMAAAV12'),'SKOLEMAAAV13'),
inference('HYPERRESOLVE',[status(thm)],[9,1126,32]) ).
cnf(14958,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[5,6447,31,70,theory(equality)]),1130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU211+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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 : Mon Jun 20 06:21:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T06:21:26
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-20T06:21:26
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 8.27/8.44 ; Declaring unordered_pair to be commutative.
% 8.27/8.44
% 8.27/8.44 #||
% 8.27/8.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.27/8.44 % SZS output start Refutation
% See solution above
% 8.43/8.61 ||#
% 8.43/8.61
% 8.43/8.61 ; Summary of computation:
% 8.43/8.61 ; 36450 formulas have been input or derived (from 1913 formulas).
% 8.43/8.61 ; 14958 (41%) were retained. Of these,
% 8.43/8.61 ; 131 ( 1%) were simplified or subsumed later,
% 8.43/8.61 ; 14827 (99%) are still being kept.
% 8.43/8.61 ;
% 8.43/8.61 ; Run time in seconds excluding printing time:
% 8.43/8.61 ; 0.006 0% Read assertion file (1 call)
% 8.43/8.61 ; 0.002 0% Assert (36 calls)
% 8.43/8.61 ; 1.138 14% Process new row (34,384 calls)
% 8.43/8.61 ; 4.579 57% Resolution (3,824 calls)
% 8.43/8.61 ; 0.092 1% Paramodulation (1,912 calls)
% 8.43/8.61 ; 0.000 0% Factoring (95 calls)
% 8.43/8.61 ; 0.037 0% Condensing (4,823 calls)
% 8.43/8.61 ; 0.739 9% Forward subsumption (4,820 calls)
% 8.43/8.61 ; 0.254 3% Backward subsumption (4,026 calls)
% 8.43/8.61 ; 0.110 1% Clause clause subsumption (14,746 calls)
% 8.43/8.61 ; 0.684 9% Forward simplification (34,349 calls)
% 8.43/8.61 ; 0.148 2% Backward simplification (14,958 calls)
% 8.43/8.61 ; 0.038 0% Ordering (15,528 calls)
% 8.43/8.61 ; 0.000 0% Sortal reasoning (32 calls)
% 8.43/8.61 ; 0.000 0% Purity testing (1 call)
% 8.43/8.61 ; 0.152 2% Other
% 8.43/8.61 ; 7.979 Total
% 8.43/8.61 ; 8.151 Real time
% 8.43/8.62 ;
% 8.43/8.62 ; Term-hash-array has 24,725 terms in all.
% 8.43/8.62 ; Feature-vector-row-index has 3,989 entries (3,989 at peak, 4,026 added, 37 deleted).
% 8.43/8.62 ; Feature-vector-row-index has 41,339 nodes (41,339 at peak, 41,574 added, 235 deleted).
% 8.43/8.62 ; Retrieved 15,892 possibly forward subsuming rows in 4,820 calls.
% 8.43/8.62 ; Retrieved 1,810 possibly backward subsumed rows in 4,026 calls.
% 8.43/8.62 ; Path-index has 24,592 entries (24,592 at peak, 24,815 added, 223 deleted).
% 8.43/8.62 ; Path-index has 25,316 nodes (25,316 at peak, 25,527 added, 211 deleted).
% 8.43/8.62 ; Trie-index has 24,592 entries (24,592 at peak, 24,815 added, 223 deleted).
% 8.43/8.62 ; Trie-index has 99,471 nodes (99,471 at peak, 100,160 added, 689 deleted).
% 8.43/8.62 ; Retrieved 48,585 generalization terms in 134,006 calls.
% 8.43/8.62 ; Retrieved 11,427 instance terms in 10,931 calls.
% 8.43/8.62 ; Retrieved 3,804,601 unifiable terms in 236,535 calls.
% 8.43/8.62 ;
% 8.43/8.62 ; The agenda of rows to process has 31 entries:
% 8.43/8.62 ; 1 with value 29 2 with value 54 6 with value 61
% 8.43/8.62 ; 3 with value 34 1 with value 55 4 with value 62
% 8.43/8.62 ; 1 with value 45 6 with value 57 3 with value 71
% 8.43/8.62 ; 3 with value 48 1 with value 58
% 8.43/8.62 ; The agenda of rows to give has 12928 entries:
% 8.43/8.62 ; 186 with value (4 19) 118 with value (4 40) 14 with value (4 65)
% 8.43/8.62 ; 720 with value (4 20) 77 with value (4 41) 12 with value (4 66)
% 8.43/8.62 ; 888 with value (4 21) 34 with value (4 42) 24 with value (4 67)
% 8.43/8.62 ; 968 with value (4 22) 62 with value (4 43) 6 with value (4 68)
% 8.43/8.62 ; 1098 with value (4 23) 22 with value (4 44) 24 with value (4 69)
% 8.43/8.62 ; 1365 with value (4 24) 65 with value (4 45) 18 with value (4 70)
% 8.43/8.62 ; 1430 with value (4 25) 18 with value (4 46) 26 with value (4 71)
% 8.43/8.62 ; 1411 with value (4 26) 44 with value (4 47) 14 with value (4 72)
% 8.43/8.62 ; 1016 with value (4 27) 2 with value (4 48) 20 with value (4 73)
% 8.43/8.62 ; 976 with value (4 28) 2 with value (4 52) 16 with value (4 75)
% 8.43/8.62 ; 412 with value (4 29) 6 with value (4 53) 24 with value (4 76)
% 8.43/8.62 ; 297 with value (4 30) 6 with value (4 55) 6 with value (4 77)
% 8.43/8.62 ; 242 with value (4 31) 12 with value (4 56) 26 with value (4 78)
% 8.43/8.62 ; 199 with value (4 32) 6 with value (4 57) 6 with value (4 79)
% 8.43/8.62 ; 167 with value (4 33) 8 with value (4 58) 10 with value (4 80)
% 8.43/8.62 ; 97 with value (4 34) 24 with value (4 59) 8 with value (4 81)
% 8.43/8.62 ; 131 with value (4 35) 28 with value (4 60) 6 with value (4 82)
% 8.43/8.62 ; 84 with value (4 36) 38 with value (4 61) 12 with value (4 83)
% 8.43/8.62 ; 100 with value (4 37) 39 with value (4 62) 4 with value (4 85)
% 8.43/8.62 ; 78 with value (4 38) 54 with value (4 63) 6 with value (4 88)
% 8.43/8.62 ; 82 with value (4 39) 30 with value (4 64) 4 with value (4 91)
% 8.43/8.62 Evaluation took:
% 8.43/8.62 8.154 seconds of real time
% 8.43/8.62 7.777339 seconds of user run time
% 8.43/8.62 0.377127 seconds of system run time
% 8.43/8.62 [Run times include 1.311 seconds GC run time.]
% 8.43/8.62 0 calls to %EVAL
% 8.43/8.62 0 page faults and
% 8.43/8.62 492,093,608 bytes consed.
% 8.43/8.62 :PROOF-FOUND
% 8.43/8.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T06:21:34
% 8.43/8.62 :PROOF-FOUND
% 8.43/8.62 *
%------------------------------------------------------------------------------