TSTP Solution File: SEU027+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 14:18:47 EDT 2022
% Result : Theorem 1.36s 1.57s
% Output : Refutation 1.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 16
% Syntax : Number of clauses : 24 ( 16 unt; 1 nHn; 24 RR)
% Number of literals : 62 ( 20 equ; 39 neg)
% Maximal clause size : 9 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
( ~ relation(X)
| ~ function(X)
| Y != relation_rng(X)
| in(Z,Y)
| ~ in(U,relation_dom(X))
| Z != apply(X,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
cnf(11,axiom,
( ~ relation(X)
| ~ function(X)
| relation(function_inverse(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(12,axiom,
( ~ relation(X)
| ~ function(X)
| function(function_inverse(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
cnf(48,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| ~ relation(Y)
| ~ function(Y)
| Y != function_inverse(X)
| relation_dom(Y) = relation_rng(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1) ).
cnf(52,axiom,
( ~ relation(X)
| ~ function(X)
| ~ one_to_one(X)
| ~ relation(Y)
| ~ function(Y)
| Y != function_inverse(X)
| ~ in(Z,relation_dom(X))
| U != apply(X,Z)
| Z = apply(Y,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t54_funct_1) ).
cnf(59,negated_conjecture,
relation('SKOLEMAAAV17'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).
cnf(60,negated_conjecture,
function('SKOLEMAAAV17'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).
cnf(61,negated_conjecture,
relation('SKOLEMAAAV18'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).
cnf(62,negated_conjecture,
function('SKOLEMAAAV18'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).
cnf(63,negated_conjecture,
one_to_one('SKOLEMAAAV17'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).
cnf(64,negated_conjecture,
relation_dom('SKOLEMAAAV17') = relation_rng('SKOLEMAAAV18'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).
cnf(65,negated_conjecture,
relation_rng('SKOLEMAAAV17') = relation_dom('SKOLEMAAAV18'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).
cnf(67,negated_conjecture,
( ~ in(X,relation_dom('SKOLEMAAAV17'))
| ~ in(Y,relation_dom('SKOLEMAAAV18'))
| apply('SKOLEMAAAV17',X) = Y
| apply('SKOLEMAAAV18',Y) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).
cnf(68,negated_conjecture,
'SKOLEMAAAV18' != function_inverse('SKOLEMAAAV17'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_funct_1) ).
cnf(72,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| relation_dom(X) != relation_dom(Y)
| in('SKOLEMAAAV19'(X,Y),relation_dom(X))
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_1) ).
cnf(73,axiom,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| relation_dom(X) != relation_dom(Y)
| apply(X,'SKOLEMAAAV19'(X,Y)) != apply(Y,'SKOLEMAAAV19'(X,Y))
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_funct_1) ).
cnf(101,plain,
relation(function_inverse('SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[11,59,60]) ).
cnf(105,plain,
function(function_inverse('SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[12,59,60]) ).
cnf(174,plain,
relation_dom(function_inverse('SKOLEMAAAV17')) = relation_dom('SKOLEMAAAV18'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[48,105,59,60,63,101,theory(equality)]),65,theory(equality)]) ).
cnf(382,plain,
in('SKOLEMAAAV19'('SKOLEMAAAV18',function_inverse('SKOLEMAAAV17')),relation_dom('SKOLEMAAAV18')),
inference('UR-RESOLVE',[status(thm)],[72,174,61,62,101,105,68]) ).
cnf(386,plain,
apply('SKOLEMAAAV18','SKOLEMAAAV19'('SKOLEMAAAV18',function_inverse('SKOLEMAAAV17'))) != apply(function_inverse('SKOLEMAAAV17'),'SKOLEMAAAV19'('SKOLEMAAAV18',function_inverse('SKOLEMAAAV17'))),
inference('UR-RESOLVE',[status(thm)],[73,174,61,62,101,105,68]) ).
cnf(663,plain,
in(apply('SKOLEMAAAV18','SKOLEMAAAV19'('SKOLEMAAAV18',function_inverse('SKOLEMAAAV17'))),relation_dom('SKOLEMAAAV17')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,382,61,62,theory(equality),theory(equality)]),64,theory(equality)]) ).
cnf(1703,plain,
apply('SKOLEMAAAV17',apply('SKOLEMAAAV18','SKOLEMAAAV19'('SKOLEMAAAV18',function_inverse('SKOLEMAAAV17')))) = 'SKOLEMAAAV19'('SKOLEMAAAV18',function_inverse('SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[67,663,382,theory(equality)]) ).
cnf(1705,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[52,663,59,60,63,101,105,theory(equality),theory(equality)]),386,1703,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU027+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 13:31:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-20T13:31:15
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-20T13:31:15
% 0.18/0.48 WARNING:
% 0.18/0.48 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.36/1.57
% 1.36/1.57
% 1.36/1.57 #||
% 1.36/1.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.36/1.57 % SZS output start Refutation
% See solution above
% 1.36/1.58 ||#
% 1.36/1.58
% 1.36/1.58 ; Summary of computation:
% 1.36/1.58 ; 4114 formulas have been input or derived (from 682 formulas).
% 1.36/1.58 ; 1705 (41%) were retained. Of these,
% 1.36/1.58 ; 167 (10%) were simplified or subsumed later,
% 1.36/1.58 ; 1538 (90%) are still being kept.
% 1.36/1.58 ;
% 1.36/1.58 ; Run time in seconds excluding printing time:
% 1.36/1.58 ; 0.008 1% Read assertion file (1 call)
% 1.36/1.58 ; 0.003 0% Assert (37 calls)
% 1.36/1.58 ; 0.099 9% Process new row (3,295 calls)
% 1.36/1.58 ; 0.880 79% Resolution (1,362 calls)
% 1.36/1.58 ; 0.007 1% Paramodulation (681 calls)
% 1.36/1.58 ; 0.000 0% Factoring (7 calls)
% 1.36/1.58 ; 0.006 1% Condensing (367 calls)
% 1.36/1.58 ; 0.011 1% Forward subsumption (367 calls)
% 1.36/1.58 ; 0.005 0% Backward subsumption (325 calls)
% 1.36/1.58 ; 0.002 0% Clause clause subsumption (93 calls)
% 1.36/1.58 ; 0.035 3% Forward simplification (3,210 calls)
% 1.36/1.58 ; 0.012 1% Backward simplification (1,705 calls)
% 1.36/1.58 ; 0.000 0% Ordering (1,446 calls)
% 1.36/1.58 ; 0.000 0% Sortal reasoning (32 calls)
% 1.36/1.58 ; 0.001 0% Purity testing (1 call)
% 1.36/1.58 ; 0.043 4% Other
% 1.36/1.58 ; 1.112 Total
% 1.36/1.58 ; 1.122 Real time
% 1.36/1.58 ;
% 1.36/1.58 ; Term-hash-array has 2,622 terms in all.
% 1.36/1.58 ; Feature-vector-row-index has 276 entries (276 at peak, 325 added, 49 deleted).
% 1.36/1.58 ; Feature-vector-row-index has 2,957 nodes (2,957 at peak, 3,520 added, 563 deleted).
% 1.36/1.58 ; Retrieved 137 possibly forward subsuming rows in 367 calls.
% 1.36/1.58 ; Retrieved 11 possibly backward subsumed rows in 325 calls.
% 1.36/1.58 ; Path-index has 2,439 entries (2,439 at peak, 2,728 added, 289 deleted).
% 1.36/1.58 ; Path-index has 3,830 nodes (3,833 at peak, 4,158 added, 328 deleted).
% 1.36/1.58 ; Trie-index has 2,439 entries (2,439 at peak, 2,728 added, 289 deleted).
% 1.36/1.58 ; Trie-index has 9,211 nodes (9,212 at peak, 10,308 added, 1,097 deleted).
% 1.36/1.58 ; Retrieved 2,959 generalization terms in 8,390 calls.
% 1.36/1.58 ; Retrieved 1,475 instance terms in 1,379 calls.
% 1.36/1.58 ; Retrieved 2,174,918 unifiable terms in 144,390 calls.
% 1.36/1.58 ;
% 1.36/1.58 ; The agenda of rows to give has 880 entries:
% 1.36/1.58 ; 99 with value (4 17) 2 with value (4 33) 1 with value (4 47)
% 1.36/1.58 ; 117 with value (4 18) 11 with value (4 34) 10 with value (4 48)
% 1.36/1.58 ; 113 with value (4 19) 5 with value (4 35) 4 with value (4 49)
% 1.36/1.58 ; 84 with value (4 20) 3 with value (4 36) 1 with value (4 51)
% 1.36/1.58 ; 84 with value (4 21) 1 with value (4 37) 1 with value (4 52)
% 1.36/1.58 ; 71 with value (4 22) 9 with value (4 38) 4 with value (4 53)
% 1.36/1.58 ; 62 with value (4 23) 9 with value (4 39) 8 with value (4 54)
% 1.36/1.58 ; 46 with value (4 24) 5 with value (4 40) 5 with value (4 57)
% 1.36/1.58 ; 15 with value (4 25) 12 with value (4 41) 1 with value (4 60)
% 1.36/1.58 ; 11 with value (4 26) 1 with value (4 42) 4 with value (4 62)
% 1.36/1.58 ; 7 with value (4 27) 2 with value (4 43) 1 with value (4 63)
% 1.36/1.58 ; 12 with value (4 28) 9 with value (4 44) 1 with value (4 66)
% 1.36/1.58 ; 8 with value (4 29) 1 with value (4 45) 1 with value (4 77)
% 1.36/1.58 ; 8 with value (4 30) 18 with value (4 46) 1 with value (4 83)
% 1.36/1.58 ; 12 with value (4 32)
% 1.36/1.58 Evaluation took:
% 1.36/1.58 1.122 seconds of real time
% 1.36/1.58 1.085161 seconds of user run time
% 1.36/1.58 0.037225 seconds of system run time
% 1.36/1.58 [Run times include 0.051 seconds GC run time.]
% 1.36/1.58 0 calls to %EVAL
% 1.36/1.58 0 page faults and
% 1.36/1.58 76,677,280 bytes consed.
% 1.36/1.58 :PROOF-FOUND
% 1.36/1.58 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T13:31:16
% 1.36/1.58 :PROOF-FOUND
% 1.36/1.58 *
%------------------------------------------------------------------------------