%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : DAT042_1 : TPTP v8.1.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 : Sat Jul 16 01:27:20 EDT 2022
% Result : Theorem 0.68s 0.84s
% Output : Refutation 0.68s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$SUM')
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: $int] : ~ in(X,empty),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=0.ax',ax1) ).
tff(3,axiom,
! [X: $int,Y: collection] : ~ in(X,remove(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=0.ax',ax3) ).
tff(6,axiom,
! [X: $int,Y: collection,Z: $int] :
( in(X,Y)
| ( X = Z )
| ~ in(X,add(Z,Y)) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=0.ax',ax4) ).
tff(23,axiom,
! [X: collection] :
( ( X != empty )
| ( count(X) = 0 ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax2) ).
tff(25,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(count(Y),1) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax3) ).
tff(26,plain,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(add(X,Y)) = $sum(1,count(Y)) ) ),
inference('REWRITE',[status(thm)],[25,'CODE-FOR-$$SUM']) ).
tff(35,axiom,
! [X: $int,Y: collection] :
( in(X,Y)
| ( count(remove(X,Y)) = count(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT002=1.ax',ax6) ).
tff(38,negated_conjecture,
! [X: collection] : ( count(X) != 3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
tff(40,plain,
count(empty) = 0,
inference('HYPERRESOLVE',[status(thm)],[23,theory(equality)]) ).
tff(55,plain,
! [X: collection] : ~ in(count(X),add(3,empty)),
inference('UR-RESOLVE',[status(thm)],[6,1,38]) ).
tff(56,plain,
! [X: collection] : ~ in(3,add(count(X),empty)),
inference('UR-RESOLVE',[status(thm)],[6,1,38]) ).
tff(64,plain,
! [X: $int] : ( count(add(X,empty)) = 1 ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,26]),'CODE-FOR-$$SUM',40,theory(equality)]) ).
tff(65,plain,
! [X: $int,Y: collection] : ( count(add(X,remove(X,Y))) = $sum(1,count(remove(X,Y))) ),
inference('HYPERRESOLVE',[status(thm)],[3,26]) ).
tff(88,plain,
! [X: collection] : ( count(remove(count(X),add(3,empty))) = 1 ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[55,35]),64,theory(equality)]) ).
tff(90,plain,
! [X: collection] : ( count(add(count(X),add(3,empty))) = 2 ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[55,26]),'CODE-FOR-$$SUM',64,theory(equality)]) ).
tff(298,plain,
~ in(3,add(2,empty)),
inference('PARAMODULATE',[status(thm)],[56,90,theory(equality)]) ).
tff(314,plain,
! [X: collection] : ~ in(3,add(count(X),add(2,empty))),
inference('UR-RESOLVE',[status(thm)],[6,298,38]) ).
tff(421,plain,
~ in(3,add(1,add(2,empty))),
inference('PARAMODULATE',[status(thm)],[314,88,theory(equality)]) ).
tff(450,plain,
count(remove(3,add(1,add(2,empty)))) = count(add(1,add(2,empty))),
inference('HYPERRESOLVE',[status(thm)],[421,35]) ).
tff(1006,plain,
! [X: $int,Y: collection] : ( count(remove(X,Y)) != 2 ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[38,65,theory(equality)]),'CODE-FOR-$$SUM',theory(equality)]) ).
tff(1057,plain,
! [X: $int,Y: collection] : ~ in(count(remove(X,Y)),add(2,empty)),
inference('UR-RESOLVE',[status(thm)],[6,1006,1]) ).
tff(1091,plain,
~ in(1,add(2,empty)),
inference('PARAMODULATE',[status(thm)],[1057,88,theory(equality)]) ).
tff(1104,plain,
count(add(1,add(2,empty))) = 2,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1091,26]),'CODE-FOR-$$SUM',64,theory(equality)]) ).
cnf(1105,plain,
$false,
inference('REWRITE',[status(thm)],[450,1006,1104,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : DAT042_1 : TPTP v8.1.0. Released v5.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n013.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jul 1 19:22:14 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:22:14
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-07-01T19:22:14
% 0.68/0.84
% 0.68/0.84
% 0.68/0.84 #||
% 0.68/0.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.68/0.84 % SZS output start Refutation
% See solution above
% 0.68/0.85 ||#
% 0.68/0.85
% 0.68/0.85 ; Summary of computation:
% 0.68/0.85 ; 3720 formulas have been input or derived (from 199 formulas).
% 0.68/0.85 ; 1105 (30%) were retained. Of these,
% 0.68/0.85 ; 153 (14%) were simplified or subsumed later,
% 0.68/0.85 ; 952 (86%) are still being kept.
% 0.68/0.85 ;
% 0.68/0.85 ; Run time in seconds excluding printing time:
% 0.68/0.85 ; 0.004 1% Read assertion file (1 call)
% 0.68/0.85 ; 0.001 0% Assert (13 calls)
% 0.68/0.85 ; 0.116 32% Process new row (3,137 calls)
% 0.68/0.85 ; 0.063 17% Resolution (396 calls)
% 0.68/0.85 ; 0.023 6% Paramodulation (198 calls)
% 0.68/0.85 ; 0.000 0% Factoring (8 calls)
% 0.68/0.85 ; 0.000 0% Condensing (165 calls)
% 0.68/0.85 ; 0.001 0% Forward subsumption (165 calls)
% 0.68/0.85 ; 0.004 1% Backward subsumption (162 calls)
% 0.68/0.85 ; 0.000 0% Clause clause subsumption (113 calls)
% 0.68/0.85 ; 0.081 22% Forward simplification (3,119 calls)
% 0.68/0.85 ; 0.019 5% Backward simplification (1,101 calls)
% 0.68/0.85 ; 0.001 0% Ordering (1,733 calls)
% 0.68/0.85 ; 0.000 0% Ordering ac (4 calls)
% 0.68/0.85 ; 0.007 2% Sortal reasoning (11,294 calls)
% 0.68/0.85 ; 0.000 0% Purity testing (1 call)
% 0.68/0.85 ; 0.045 12% Other
% 0.68/0.85 ; 0.365 Total
% 0.68/0.85 ; 0.367 Real time
% 0.68/0.85 ;
% 0.68/0.85 ; Term-hash-array has 2,753 terms in all.
% 0.68/0.85 ; Feature-vector-row-index has 154 entries (157 at peak, 162 added, 8 deleted).
% 0.68/0.85 ; Feature-vector-row-index has 1,325 nodes (1,325 at peak, 1,365 added, 40 deleted).
% 0.68/0.85 ; Retrieved 172 possibly forward subsuming rows in 165 calls.
% 0.68/0.85 ; Retrieved 3 possibly backward subsumed rows in 162 calls.
% 0.68/0.85 ; Path-index has 2,592 entries (2,603 at peak, 3,025 added, 433 deleted).
% 0.68/0.85 ; Path-index has 2,233 nodes (2,236 at peak, 2,514 added, 281 deleted).
% 0.68/0.85 ; Trie-index has 2,592 entries (2,603 at peak, 3,025 added, 433 deleted).
% 0.68/0.85 ; Trie-index has 8,461 nodes (8,478 at peak, 9,603 added, 1,142 deleted).
% 0.68/0.85 ; Retrieved 6,631 generalization terms in 16,383 calls.
% 0.68/0.85 ; Retrieved 950 instance terms in 938 calls.
% 0.68/0.85 ; Retrieved 20,220 unifiable terms in 3,193 calls.
% 0.68/0.85 ;
% 0.68/0.85 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.68/0.85 ; 2 with value 0
% 0.68/0.85 ; The agenda of rows to process has 2 entries:
% 0.68/0.85 ; 2 with value 22
% 0.68/0.85 ; The agenda of rows to give has 755 entries:
% 0.68/0.85 ; 1 with value (4 11) 62 with value (4 22) 57 with value (4 29)
% 0.68/0.85 ; 2 with value (4 15) 39 with value (4 23) 74 with value (4 30)
% 0.68/0.85 ; 2 with value (4 16) 50 with value (4 24) 37 with value (4 31)
% 0.68/0.85 ; 8 with value (4 17) 48 with value (4 25) 59 with value (4 32)
% 0.68/0.85 ; 22 with value (4 18) 23 with value (4 26) 10 with value (4 33)
% 0.68/0.85 ; 42 with value (4 19) 13 with value (4 27) 2 with value (4 34)
% 0.68/0.85 ; 49 with value (4 20) 57 with value (4 28) 8 with value (4 35)
% 0.68/0.85 ; 90 with value (4 21)
% 0.68/0.85 Evaluation took:
% 0.68/0.85 0.368 seconds of real time
% 0.68/0.85 0.325207 seconds of user run time
% 0.68/0.85 0.043093 seconds of system run time
% 0.68/0.85 [Run times include 0.01 seconds GC run time.]
% 0.68/0.85 0 calls to %EVAL
% 0.68/0.85 0 page faults and
% 0.68/0.85 22,379,536 bytes consed.
% 0.68/0.85 :PROOF-FOUND
% 0.68/0.85 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-01T19:22:15
% 0.68/0.85 :PROOF-FOUND
% 0.68/0.85 *
%------------------------------------------------------------------------------